diff --git a/工具/批量添加题库字段数据.ipynb b/工具/批量添加题库字段数据.ipynb
index 3effb04b..95216e46 100644
--- a/工具/批量添加题库字段数据.ipynb
+++ b/工具/批量添加题库字段数据.ipynb
@@ -2,145 +2,497 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "题号: 030374 , 字段: usages 中已添加数据: 20221109\t2023届高三10班\t0.921\t0.842\n",
-      "题号: 030372 , 字段: usages 中已添加数据: 20221109\t2023届高三10班\t0.658\n",
-      "题号: 030343 , 字段: usages 中已添加数据: 20221109\t2023届高三10班\t1.000\t1.000\t0.500\n",
-      "题号: 030408 , 字段: usages 中已添加数据: 20221109\t2023届高三10班\t0.447\n",
-      "题号: 030410 , 字段: usages 中已添加数据: 20221109\t2023届高三10班\t0.605\n",
-      "题号: 030411 , 字段: usages 中已添加数据: 20221109\t2023届高三10班\t0.842\t0.526\n",
-      "题号: 030377 , 字段: usages 中已添加数据: 20221109\t2023届高三10班\t0.763\n",
-      "题号: 009922 , 字段: usages 中已添加数据: 20221109\t2023届高三10班\t0.842\t0.816\t0.763\t0.632\n",
-      "题号: 030352 , 字段: usages 中已添加数据: 20221109\t2023届高三10班\t0.763\n",
-      "题号: 030451 , 字段: usages 中已添加数据: 20221109\t2023届高三10班\t0.684\n",
-      "题号: 009926 , 字段: usages 中已添加数据: 20221109\t2023届高三10班\t0.816\n",
-      "题号: 030374 , 字段: usages 中已添加数据: 20221109\t2023届高三11班\t1.000\t0.809\n",
-      "题号: 030372 , 字段: usages 中已添加数据: 20221109\t2023届高三11班\t0.857\n",
-      "题号: 030343 , 字段: usages 中已添加数据: 20221109\t2023届高三11班\t1.000\t0.952\t0.429\n",
-      "题号: 030408 , 字段: usages 中已添加数据: 20221109\t2023届高三11班\t0.333\n",
-      "题号: 030410 , 字段: usages 中已添加数据: 20221109\t2023届高三11班\t0.333\n",
-      "题号: 030411 , 字段: usages 中已添加数据: 20221109\t2023届高三11班\t0.667\t0.333\n",
-      "题号: 030377 , 字段: usages 中已添加数据: 20221109\t2023届高三11班\t0.619\n",
-      "题号: 009922 , 字段: usages 中已添加数据: 20221109\t2023届高三11班\t0.809\t0.952\t0.952\t0.809\n",
-      "题号: 030352 , 字段: usages 中已添加数据: 20221109\t2023届高三11班\t0.857\n",
-      "题号: 030451 , 字段: usages 中已添加数据: 20221109\t2023届高三11班\t0.476\n",
-      "题号: 009926 , 字段: usages 中已添加数据: 20221109\t2023届高三11班\t0.571\n",
-      "题号: 030374 , 字段: usages 中已添加数据: 20221109\t2023届高三12班\t1.000\t0.667\n",
-      "题号: 030372 , 字段: usages 中已添加数据: 20221109\t2023届高三12班\t0.762\n",
-      "题号: 030343 , 字段: usages 中已添加数据: 20221109\t2023届高三12班\t1.000\t1.000\t0.381\n",
-      "题号: 030408 , 字段: usages 中已添加数据: 20221109\t2023届高三12班\t0.524\n",
-      "题号: 030410 , 字段: usages 中已添加数据: 20221109\t2023届高三12班\t0.809\n",
-      "题号: 030411 , 字段: usages 中已添加数据: 20221109\t2023届高三12班\t0.857\t0.762\n",
-      "题号: 030377 , 字段: usages 中已添加数据: 20221109\t2023届高三12班\t0.857\n",
-      "题号: 009922 , 字段: usages 中已添加数据: 20221109\t2023届高三12班\t0.952\t1.000\t1.000\t0.809\n",
-      "题号: 030352 , 字段: usages 中已添加数据: 20221109\t2023届高三12班\t0.857\n",
-      "题号: 030451 , 字段: usages 中已添加数据: 20221109\t2023届高三12班\t0.619\n",
-      "题号: 009926 , 字段: usages 中已添加数据: 20221109\t2023届高三12班\t0.857\n",
-      "题号: 030374 , 字段: usages 中已添加数据: 20221109\t2023届高三01班\t0.800\t1.000\n",
-      "题号: 030372 , 字段: usages 中已添加数据: 20221109\t2023届高三01班\t0.900\n",
-      "题号: 030343 , 字段: usages 中已添加数据: 20221109\t2023届高三01班\t1.000\t0.967\t0.700\n",
-      "题号: 030408 , 字段: usages 中已添加数据: 20221109\t2023届高三01班\t0.267\n",
-      "题号: 030410 , 字段: usages 中已添加数据: 20221109\t2023届高三01班\t0.867\n",
-      "题号: 030411 , 字段: usages 中已添加数据: 20221109\t2023届高三01班\t0.800\t0.033\n",
-      "题号: 030377 , 字段: usages 中已添加数据: 20221109\t2023届高三01班\t0.567\n",
-      "题号: 009922 , 字段: usages 中已添加数据: 20221109\t2023届高三01班\t0.900\t0.933\t0.933\t0.933\n",
-      "题号: 030352 , 字段: usages 中已添加数据: 20221109\t2023届高三01班\t0.867\n",
-      "题号: 030451 , 字段: usages 中已添加数据: 20221109\t2023届高三01班\t0.967\n",
-      "题号: 009926 , 字段: usages 中已添加数据: 20221109\t2023届高三01班\t0.933\n",
-      "题号: 030374 , 字段: usages 中已添加数据: 20221109\t2023届高三02班\t0.968\t0.645\n",
-      "题号: 030372 , 字段: usages 中已添加数据: 20221109\t2023届高三02班\t0.871\n",
-      "题号: 030343 , 字段: usages 中已添加数据: 20221109\t2023届高三02班\t0.968\t1.000\t0.581\n",
-      "题号: 030408 , 字段: usages 中已添加数据: 20221109\t2023届高三02班\t0.226\n",
-      "题号: 030410 , 字段: usages 中已添加数据: 20221109\t2023届高三02班\t0.452\n",
-      "题号: 030411 , 字段: usages 中已添加数据: 20221109\t2023届高三02班\t0.903\t0.613\n",
-      "题号: 030377 , 字段: usages 中已添加数据: 20221109\t2023届高三02班\t0.677\n",
-      "题号: 009922 , 字段: usages 中已添加数据: 20221109\t2023届高三02班\t0.935\t0.581\t0.871\t0.710\n",
-      "题号: 030352 , 字段: usages 中已添加数据: 20221109\t2023届高三02班\t0.839\n",
-      "题号: 030451 , 字段: usages 中已添加数据: 20221109\t2023届高三02班\t0.806\n",
-      "题号: 009926 , 字段: usages 中已添加数据: 20221109\t2023届高三02班\t0.839\n",
-      "题号: 030374 , 字段: usages 中已添加数据: 20221109\t2023届高三03班\t1.000\t1.000\n",
-      "题号: 030372 , 字段: usages 中已添加数据: 20221109\t2023届高三03班\t0.800\n",
-      "题号: 030343 , 字段: usages 中已添加数据: 20221109\t2023届高三03班\t1.000\t1.000\t0.633\n",
-      "题号: 030408 , 字段: usages 中已添加数据: 20221109\t2023届高三03班\t0.333\n",
-      "题号: 030410 , 字段: usages 中已添加数据: 20221109\t2023届高三03班\t0.067\n",
-      "题号: 030411 , 字段: usages 中已添加数据: 20221109\t2023届高三03班\t0.533\t0.800\n",
-      "题号: 030377 , 字段: usages 中已添加数据: 20221109\t2023届高三03班\t0.500\n",
-      "题号: 009922 , 字段: usages 中已添加数据: 20221109\t2023届高三03班\t1.000\t1.000\t1.000\t0.633\n",
-      "题号: 030352 , 字段: usages 中已添加数据: 20221109\t2023届高三03班\t1.000\n",
-      "题号: 030451 , 字段: usages 中已添加数据: 20221109\t2023届高三03班\t0.433\n",
-      "题号: 009926 , 字段: usages 中已添加数据: 20221109\t2023届高三03班\t0.800\n",
-      "题号: 030374 , 字段: usages 中已添加数据: 20221109\t2023届高三04班\t1.000\t0.931\n",
-      "题号: 030372 , 字段: usages 中已添加数据: 20221109\t2023届高三04班\t0.897\n",
-      "题号: 030343 , 字段: usages 中已添加数据: 20221109\t2023届高三04班\t1.000\t0.897\t0.552\n",
-      "题号: 030408 , 字段: usages 中已添加数据: 20221109\t2023届高三04班\t0.241\n",
-      "题号: 030410 , 字段: usages 中已添加数据: 20221109\t2023届高三04班\t0.448\n",
-      "题号: 030411 , 字段: usages 中已添加数据: 20221109\t2023届高三04班\t0.690\t0.517\n",
-      "题号: 030377 , 字段: usages 中已添加数据: 20221109\t2023届高三04班\t0.621\n",
-      "题号: 009922 , 字段: usages 中已添加数据: 20221109\t2023届高三04班\t0.931\t0.931\t0.966\t1.000\n",
-      "题号: 030352 , 字段: usages 中已添加数据: 20221109\t2023届高三04班\t0.931\n",
-      "题号: 030451 , 字段: usages 中已添加数据: 20221109\t2023届高三04班\t0.828\n",
-      "题号: 009926 , 字段: usages 中已添加数据: 20221109\t2023届高三04班\t0.655\n",
-      "题号: 030374 , 字段: usages 中已添加数据: 20221109\t2023届高三05班\t0.892\t0.919\n",
-      "题号: 030372 , 字段: usages 中已添加数据: 20221109\t2023届高三05班\t0.757\n",
-      "题号: 030343 , 字段: usages 中已添加数据: 20221109\t2023届高三05班\t1.000\t0.865\t0.378\n",
-      "题号: 030408 , 字段: usages 中已添加数据: 20221109\t2023届高三05班\t0.513\n",
-      "题号: 030410 , 字段: usages 中已添加数据: 20221109\t2023届高三05班\t0.703\n",
-      "题号: 030411 , 字段: usages 中已添加数据: 20221109\t2023届高三05班\t0.784\t0.622\n",
-      "题号: 030377 , 字段: usages 中已添加数据: 20221109\t2023届高三05班\t0.730\n",
-      "题号: 009922 , 字段: usages 中已添加数据: 20221109\t2023届高三05班\t1.000\t1.000\t0.946\t0.946\n",
-      "题号: 030352 , 字段: usages 中已添加数据: 20221109\t2023届高三05班\t1.000\n",
-      "题号: 030451 , 字段: usages 中已添加数据: 20221109\t2023届高三05班\t0.649\n",
-      "题号: 009926 , 字段: usages 中已添加数据: 20221109\t2023届高三05班\t0.865\n",
-      "题号: 030374 , 字段: usages 中已添加数据: 20221109\t2023届高三06班\t0.971\t1.000\n",
-      "题号: 030372 , 字段: usages 中已添加数据: 20221109\t2023届高三06班\t0.886\n",
-      "题号: 030343 , 字段: usages 中已添加数据: 20221109\t2023届高三06班\t1.000\t0.971\t0.514\n",
-      "题号: 030408 , 字段: usages 中已添加数据: 20221109\t2023届高三06班\t0.257\n",
-      "题号: 030410 , 字段: usages 中已添加数据: 20221109\t2023届高三06班\t0.657\n",
-      "题号: 030411 , 字段: usages 中已添加数据: 20221109\t2023届高三06班\t0.829\t0.029\n",
-      "题号: 030377 , 字段: usages 中已添加数据: 20221109\t2023届高三06班\t0.914\n",
-      "题号: 009922 , 字段: usages 中已添加数据: 20221109\t2023届高三06班\t0.886\t1.000\t0.971\t0.943\n",
-      "题号: 030352 , 字段: usages 中已添加数据: 20221109\t2023届高三06班\t0.943\n",
-      "题号: 030451 , 字段: usages 中已添加数据: 20221109\t2023届高三06班\t0.857\n",
-      "题号: 009926 , 字段: usages 中已添加数据: 20221109\t2023届高三06班\t0.800\n",
-      "题号: 030374 , 字段: usages 中已添加数据: 20221109\t2023届高三07班\t1.000\t0.893\n",
-      "题号: 030372 , 字段: usages 中已添加数据: 20221109\t2023届高三07班\t0.571\n",
-      "题号: 030343 , 字段: usages 中已添加数据: 20221109\t2023届高三07班\t1.000\t0.964\t0.500\n",
-      "题号: 030408 , 字段: usages 中已添加数据: 20221109\t2023届高三07班\t0.286\n",
-      "题号: 030410 , 字段: usages 中已添加数据: 20221109\t2023届高三07班\t0.536\n",
-      "题号: 030411 , 字段: usages 中已添加数据: 20221109\t2023届高三07班\t0.821\t0.607\n",
-      "题号: 030377 , 字段: usages 中已添加数据: 20221109\t2023届高三07班\t0.286\n",
-      "题号: 009922 , 字段: usages 中已添加数据: 20221109\t2023届高三07班\t0.964\t1.000\t1.000\t0.964\n",
-      "题号: 030352 , 字段: usages 中已添加数据: 20221109\t2023届高三07班\t0.893\n",
-      "题号: 030451 , 字段: usages 中已添加数据: 20221109\t2023届高三07班\t0.679\n",
-      "题号: 009926 , 字段: usages 中已添加数据: 20221109\t2023届高三07班\t0.679\n",
-      "题号: 030374 , 字段: usages 中已添加数据: 20221109\t2023届高三08班\t1.000\t0.548\n",
-      "题号: 030372 , 字段: usages 中已添加数据: 20221109\t2023届高三08班\t0.742\n",
-      "题号: 030343 , 字段: usages 中已添加数据: 20221109\t2023届高三08班\t0.968\t0.839\t0.387\n",
-      "题号: 030408 , 字段: usages 中已添加数据: 20221109\t2023届高三08班\t0.548\n",
-      "题号: 030410 , 字段: usages 中已添加数据: 20221109\t2023届高三08班\t0.548\n",
-      "题号: 030411 , 字段: usages 中已添加数据: 20221109\t2023届高三08班\t0.452\t0.484\n",
-      "题号: 030377 , 字段: usages 中已添加数据: 20221109\t2023届高三08班\t0.516\n",
-      "题号: 009922 , 字段: usages 中已添加数据: 20221109\t2023届高三08班\t0.871\t1.000\t0.871\t0.742\n",
-      "题号: 030352 , 字段: usages 中已添加数据: 20221109\t2023届高三08班\t0.774\n",
-      "题号: 030451 , 字段: usages 中已添加数据: 20221109\t2023届高三08班\t0.581\n",
-      "题号: 009926 , 字段: usages 中已添加数据: 20221109\t2023届高三08班\t0.581\n",
-      "题号: 030374 , 字段: usages 中已添加数据: 20221109\t2023届高三09班\t1.000\t0.812\n",
-      "题号: 030372 , 字段: usages 中已添加数据: 20221109\t2023届高三09班\t0.812\n",
-      "题号: 030343 , 字段: usages 中已添加数据: 20221109\t2023届高三09班\t0.969\t0.906\t0.500\n",
-      "题号: 030408 , 字段: usages 中已添加数据: 20221109\t2023届高三09班\t0.344\n",
-      "题号: 030410 , 字段: usages 中已添加数据: 20221109\t2023届高三09班\t0.531\n",
-      "题号: 030411 , 字段: usages 中已添加数据: 20221109\t2023届高三09班\t0.875\t0.531\n",
-      "题号: 030377 , 字段: usages 中已添加数据: 20221109\t2023届高三09班\t0.656\n",
-      "题号: 009922 , 字段: usages 中已添加数据: 20221109\t2023届高三09班\t0.688\t0.969\t0.625\t0.625\n",
-      "题号: 030352 , 字段: usages 中已添加数据: 20221109\t2023届高三09班\t0.812\n",
-      "题号: 030451 , 字段: usages 中已添加数据: 20221109\t2023届高三09班\t0.406\n",
-      "题号: 009926 , 字段: usages 中已添加数据: 20221109\t2023届高三09班\t0.688\n"
+      "题号: 000334 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 000513 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 000513 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 000522 , 字段: objs 中已添加数据: K0708001X\n",
+      "题号: 000530 , 字段: objs 中已添加数据: K0705001X\n",
+      "题号: 000530 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 000643 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 000643 , 字段: objs 中已添加数据: K0704003X\n",
+      "题号: 000747 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 000775 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 000775 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 000880 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 000946 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 000960 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 002107 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 002125 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002126 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002127 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002128 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002129 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002130 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002131 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002132 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002133 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002134 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002136 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 002137 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002138 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 002139 , 字段: objs 中已添加数据: K0705001X\n",
+      "题号: 002140 , 字段: objs 中已添加数据: K0705001X\n",
+      "题号: 002141 , 字段: objs 中已添加数据: K0705001X\n",
+      "题号: 002142 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 002143 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 002144 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 002145 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 002145 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 002146 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 002147 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002148 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002149 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 002149 , 字段: objs 中已添加数据: K0702005X\n",
+      "题号: 002150 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 002150 , 字段: objs 中已添加数据: K0702001X\n",
+      "题号: 002151 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002152 , 字段: objs 中已添加数据: K0702001X\n",
+      "题号: 002152 , 字段: objs 中已添加数据: K0702005X\n",
+      "题号: 002155 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002156 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 002156 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 002156 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 002156 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002157 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 002158 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 002159 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002160 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 002161 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 002161 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 002162 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 002162 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 002163 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 002163 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 002163 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 002164 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 002164 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 002164 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002165 , 字段: objs 中已添加数据: K0702004X\n",
+      "题号: 002165 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 002166 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 002166 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 002167 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 002167 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 002168 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 002168 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 002169 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 002169 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 002170 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 002170 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 002171 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002172 , 字段: objs 中已添加数据: K0704003X\n",
+      "题号: 002173 , 字段: objs 中已添加数据: K0704003X\n",
+      "题号: 002173 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 002174 , 字段: objs 中已添加数据: K0704003X\n",
+      "题号: 002174 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 002175 , 字段: objs 中已添加数据: K0706003X\n",
+      "题号: 002175 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 002176 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 002176 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 002177 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 002178 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002179 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 002180 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 002180 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 002180 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002182 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002183 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 002184 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002185 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 002186 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 002186 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 002186 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 002187 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 002187 , 字段: objs 中已添加数据: K0702005X\n",
+      "题号: 002188 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 002189 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 002190 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 002191 , 字段: objs 中已添加数据: K0704003X\n",
+      "题号: 002193 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 002194 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002195 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002196 , 字段: objs 中已添加数据: K0702004X\n",
+      "题号: 002196 , 字段: objs 中已添加数据: K0702005X\n",
+      "题号: 002197 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 002198 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 002199 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 002199 , 字段: objs 中已添加数据: K0705004X\n",
+      "题号: 002200 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 002200 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002200 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 002201 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 002201 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002201 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 002204 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 002205 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 002205 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 002206 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 002206 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 002207 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002208 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 002208 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002209 , 字段: objs 中已添加数据: K0706003X\n",
+      "题号: 002209 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 002210 , 字段: objs 中已添加数据: K0706003X\n",
+      "题号: 002210 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 002212 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 002213 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 002214 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 002215 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 002215 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 002215 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002215 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 002216 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 002217 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 002217 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 002217 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 002218 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 002218 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 002219 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 002219 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 002221 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 002222 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 002223 , 字段: objs 中已添加数据: K0704002X\n",
+      "题号: 002224 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 002224 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 002225 , 字段: objs 中已添加数据: K0708004X\n",
+      "题号: 002226 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 002226 , 字段: objs 中已添加数据: K0708004X\n",
+      "题号: 002227 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 002228 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 002229 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 002229 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002230 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 002230 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002230 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 002231 , 字段: objs 中已添加数据: K0702005X\n",
+      "题号: 002232 , 字段: objs 中已添加数据: K0706003X\n",
+      "题号: 002232 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 002233 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 002233 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 002234 , 字段: objs 中已添加数据: K0704003X\n",
+      "题号: 002235 , 字段: objs 中已添加数据: K0704003X\n",
+      "题号: 002236 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 003362 , 字段: objs 中已添加数据: K0705004X\n",
+      "题号: 003362 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 003362 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 003363 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 003363 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 003364 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 003365 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 003365 , 字段: objs 中已添加数据: K0703001X\n",
+      "题号: 003366 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 003367 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 003367 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 003367 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 003368 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 003368 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 003369 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 003369 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 003369 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 003369 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 003369 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 003370 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 003370 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 003372 , 字段: objs 中已添加数据: K0702001X\n",
+      "题号: 003372 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 003373 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 003373 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 003374 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 003374 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 003374 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 003374 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 003374 , 字段: objs 中已添加数据: K0706003X\n",
+      "题号: 003375 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 003376 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 003376 , 字段: objs 中已添加数据: K0708001X\n",
+      "题号: 003376 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 003376 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 003377 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 003377 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 003377 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 003377 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 003377 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 003378 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 003380 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 003388 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 003643 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 003684 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 003755 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 003755 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 004213 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 004254 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 004281 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 004299 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 004299 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 004538 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 004628 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 004705 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 008748 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 008749 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 008750 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 008751 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 008752 , 字段: objs 中已添加数据: K0705001X\n",
+      "题号: 008753 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 008754 , 字段: objs 中已添加数据: K0705001X\n",
+      "题号: 008755 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 008755 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 008756 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 008757 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 008758 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 008759 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 008760 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 008761 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 008761 , 字段: objs 中已添加数据: K0702005X\n",
+      "题号: 008762 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 008763 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 008765 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 008766 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 008766 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 008767 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 008768 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 008769 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 008769 , 字段: objs 中已添加数据: K0702004X\n",
+      "题号: 008770 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 008770 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 008771 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 008771 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 008771 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 008772 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 008772 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 008772 , 字段: objs 中已添加数据: K0704002X\n",
+      "题号: 008773 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 008774 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 008775 , 字段: objs 中已添加数据: K0706003X\n",
+      "题号: 008775 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 008776 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 008776 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 008777 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 008777 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 008777 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 008778 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 008778 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 008779 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 008780 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 008781 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 008781 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 008781 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 008783 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 008783 , 字段: objs 中已添加数据: K0702005X\n",
+      "题号: 008784 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 008785 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 008785 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 008786 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 008786 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 008786 , 字段: objs 中已添加数据: K0702001X\n",
+      "题号: 008787 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 008787 , 字段: objs 中已添加数据: K0707002X\n",
+      "题号: 008787 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 008787 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 008787 , 字段: objs 中已添加数据: K0704002X\n",
+      "题号: 008788 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 008790 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 008791 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 008792 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 008793 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 008794 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 008795 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 008795 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 008795 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 008796 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 008797 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 008797 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 008797 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 008798 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 008799 , 字段: objs 中已添加数据: K0707002X\n",
+      "题号: 008799 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 008799 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 008800 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 008800 , 字段: objs 中已添加数据: K0707003X\n",
+      "题号: 008801 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 008802 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 008803 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 008804 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 008805 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 008805 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 008806 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 008806 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 008807 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 008807 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 008807 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 008808 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 008809 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 008809 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 008809 , 字段: objs 中已添加数据: K0704002X\n",
+      "题号: 008810 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 008811 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 008811 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 008812 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 008812 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 008813 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 008814 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 008815 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 008816 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 008817 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 008818 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 008819 , 字段: objs 中已添加数据: K0708004X\n",
+      "题号: 008820 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 008820 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 008820 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 008821 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 008821 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 008822 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 008822 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 008823 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 008823 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 008824 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 008825 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 008826 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 008826 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 008826 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 008826 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 008827 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 008828 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 008829 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 008830 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 008830 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 008830 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 008831 , 字段: objs 中已添加数据: K0702005X\n",
+      "题号: 008832 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 008833 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 008834 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 008835 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 009074 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 009083 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 009084 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 009084 , 字段: objs 中已添加数据: K0702005X\n",
+      "题号: 009085 , 字段: objs 中已添加数据: KNONE\n",
+      "题号: 009094 , 字段: objs 中已添加数据: K0702005X\n",
+      "题号: 009104 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 009780 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 009780 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 009781 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 009782 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 009783 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 009784 , 字段: objs 中已添加数据: K0702001X\n",
+      "题号: 009784 , 字段: objs 中已添加数据: K0702004X\n",
+      "题号: 009784 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 009785 , 字段: objs 中已添加数据: K0704002X\n",
+      "题号: 009786 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 009786 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 009787 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 009788 , 字段: objs 中已添加数据: K0706003X\n",
+      "题号: 009788 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 009789 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 009790 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 009790 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 009791 , 字段: objs 中已添加数据: K0704003X\n",
+      "题号: 009792 , 字段: objs 中已添加数据: K0704003X\n",
+      "题号: 009793 , 字段: objs 中已添加数据: K0705001X\n",
+      "题号: 009794 , 字段: objs 中已添加数据: K0705001X\n",
+      "题号: 009795 , 字段: objs 中已添加数据: K0702001X\n",
+      "题号: 009795 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 009795 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 009796 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 009796 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 009797 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 009798 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 009798 , 字段: objs 中已添加数据: K0705003X\n",
+      "题号: 009799 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 009800 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 009800 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 009801 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 009802 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 009803 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 009803 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 009804 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 009805 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 009805 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 010591 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 010591 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 010592 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 010592 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 010593 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 010593 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 010594 , 字段: objs 中已添加数据: K0706003X\n",
+      "题号: 010595 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 010595 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 010596 , 字段: objs 中已添加数据: K0701003X\n",
+      "题号: 010596 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 010597 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 010598 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 010598 , 字段: objs 中已添加数据: K0705004X\n",
+      "题号: 010599 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 010599 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 010600 , 字段: objs 中已添加数据: K0702001X\n",
+      "题号: 010600 , 字段: objs 中已添加数据: K0702004X\n",
+      "题号: 010600 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 010601 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 010601 , 字段: objs 中已添加数据: K0702001X\n",
+      "题号: 010602 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 010602 , 字段: objs 中已添加数据: K0702001X\n",
+      "题号: 010603 , 字段: objs 中已添加数据: K0702001X\n",
+      "题号: 010603 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 010604 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 010605 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 010606 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 010607 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 010608 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 010608 , 字段: objs 中已添加数据: K0701002X\n",
+      "题号: 010609 , 字段: objs 中已添加数据: K0704003X\n",
+      "题号: 010610 , 字段: objs 中已添加数据: K0702005X\n",
+      "题号: 010610 , 字段: objs 中已添加数据: K0702001X\n",
+      "题号: 010612 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 010613 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 010614 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 010615 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 010616 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 010617 , 字段: objs 中已添加数据: K0702005X\n",
+      "题号: 010618 , 字段: objs 中已添加数据: K0701001X\n",
+      "题号: 010618 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 010619 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 010620 , 字段: objs 中已添加数据: K0701004X\n",
+      "题号: 010620 , 字段: objs 中已添加数据: K0704003X\n",
+      "题号: 010621 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 010622 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 010623 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 010624 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 010626 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 010627 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 010627 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 010627 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 010628 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 010628 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 010629 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 010630 , 字段: objs 中已添加数据: K0707004X\n",
+      "题号: 010631 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 010631 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 010635 , 字段: objs 中已添加数据: K0706002X\n",
+      "题号: 010635 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 010635 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 010636 , 字段: objs 中已添加数据: K0707001X\n",
+      "题号: 010636 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 010636 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 010637 , 字段: objs 中已添加数据: K0706001X\n",
+      "题号: 010637 , 字段: objs 中已添加数据: K0702003X\n",
+      "题号: 010638 , 字段: objs 中已添加数据: K0703002X\n",
+      "题号: 010639 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 010640 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 010642 , 字段: objs 中已添加数据: K0708004X\n",
+      "题号: 010643 , 字段: objs 中已添加数据: K0702004X\n",
+      "题号: 010643 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 010644 , 字段: objs 中已添加数据: K0708003X\n",
+      "题号: 010645 , 字段: objs 中已添加数据: K0702002X\n",
+      "题号: 010645 , 字段: objs 中已添加数据: K0707005X\n",
+      "题号: 030026 , 字段: objs 中已添加数据: K0705002X\n",
+      "题号: 030026 , 字段: objs 中已添加数据: K0708003X\n"
      ]
     }
    ],
diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt
index 08e6efec..ed8c5ccf 100644
--- a/工具/文本文件/metadata.txt
+++ b/工具/文本文件/metadata.txt
@@ -1,398 +1,1938 @@
-usages
+objs
+334
+K0708003X
 
-030374
-20221109	2023届高三10班	0.921	0.842
 
-030372
-20221109	2023届高三10班	0.658
+513
+K0701001X
 
-030343
-20221109	2023届高三10班	1.000	1.000	0.500
 
-030408
-20221109	2023届高三10班	0.447
+513
+K0701003X
 
-030410
-20221109	2023届高三10班	0.605
 
-030411
-20221109	2023届高三10班	0.842	0.526
+522
+K0708001X
 
-030377
-20221109	2023届高三10班	0.763
 
-009922
-20221109	2023届高三10班	0.842	0.816	0.763	0.632
+530
+K0705001X
 
-030352
-20221109	2023届高三10班	0.763
 
-030451
-20221109	2023届高三10班	0.684
+530
+K0701001X
 
-009926
-20221109	2023届高三10班	0.816
 
-030374
-20221109	2023届高三11班	1.000	0.809
+643
+K0705002X
 
-030372
-20221109	2023届高三11班	0.857
 
-030343
-20221109	2023届高三11班	1.000	0.952	0.429
+643
+K0704003X
 
-030408
-20221109	2023届高三11班	0.333
 
-030410
-20221109	2023届高三11班	0.333
+747
+K0706002X
 
-030411
-20221109	2023届高三11班	0.667	0.333
 
-030377
-20221109	2023届高三11班	0.619
+775
+K0706002X
 
-009922
-20221109	2023届高三11班	0.809	0.952	0.952	0.809
 
-030352
-20221109	2023届高三11班	0.857
+775
+K0706001X
 
-030451
-20221109	2023届高三11班	0.476
 
-009926
-20221109	2023届高三11班	0.571
+880
+KNONE
 
-030374
-20221109	2023届高三12班	1.000	0.667
 
-030372
-20221109	2023届高三12班	0.762
+946
+K0707004X
 
-030343
-20221109	2023届高三12班	1.000	1.000	0.381
 
-030408
-20221109	2023届高三12班	0.524
+960
+K0701001X
 
-030410
-20221109	2023届高三12班	0.809
 
-030411
-20221109	2023届高三12班	0.857	0.762
+2107
+K0708003X
 
-030377
-20221109	2023届高三12班	0.857
 
-009922
-20221109	2023届高三12班	0.952	1.000	1.000	0.809
+2125
+KNONE
 
-030352
-20221109	2023届高三12班	0.857
 
-030451
-20221109	2023届高三12班	0.619
+2126
+KNONE
 
-009926
-20221109	2023届高三12班	0.857
 
-030374
-20221109	2023届高三01班	0.800	1.000
+2127
+KNONE
 
-030372
-20221109	2023届高三01班	0.900
 
-030343
-20221109	2023届高三01班	1.000	0.967	0.700
+2128
+KNONE
 
-030408
-20221109	2023届高三01班	0.267
 
-030410
-20221109	2023届高三01班	0.867
+2129
+KNONE
 
-030411
-20221109	2023届高三01班	0.800	0.033
 
-030377
-20221109	2023届高三01班	0.567
+2130
+KNONE
 
-009922
-20221109	2023届高三01班	0.900	0.933	0.933	0.933
 
-030352
-20221109	2023届高三01班	0.867
+2131
+KNONE
 
-030451
-20221109	2023届高三01班	0.967
 
-009926
-20221109	2023届高三01班	0.933
+2132
+KNONE
 
-030374
-20221109	2023届高三02班	0.968	0.645
 
-030372
-20221109	2023届高三02班	0.871
+2133
+KNONE
 
-030343
-20221109	2023届高三02班	0.968	1.000	0.581
 
-030408
-20221109	2023届高三02班	0.226
+2134
+K0702003X
 
-030410
-20221109	2023届高三02班	0.452
 
-030411
-20221109	2023届高三02班	0.903	0.613
+2136
+K0705002X
 
-030377
-20221109	2023届高三02班	0.677
 
-009922
-20221109	2023届高三02班	0.935	0.581	0.871	0.710
+2137
+KNONE
 
-030352
-20221109	2023届高三02班	0.839
 
-030451
-20221109	2023届高三02班	0.806
+2138
+K0705002X
 
-009926
-20221109	2023届高三02班	0.839
 
-030374
-20221109	2023届高三03班	1.000	1.000
+2139
+K0705001X
 
-030372
-20221109	2023届高三03班	0.800
 
-030343
-20221109	2023届高三03班	1.000	1.000	0.633
+2140
+K0705001X
 
-030408
-20221109	2023届高三03班	0.333
 
-030410
-20221109	2023届高三03班	0.067
+2141
+K0705001X
 
-030411
-20221109	2023届高三03班	0.533	0.800
 
-030377
-20221109	2023届高三03班	0.500
+2142
+K0705003X
 
-009922
-20221109	2023届高三03班	1.000	1.000	1.000	0.633
 
-030352
-20221109	2023届高三03班	1.000
+2143
+K0705003X
 
-030451
-20221109	2023届高三03班	0.433
 
-009926
-20221109	2023届高三03班	0.800
+2144
+K0705003X
 
-030374
-20221109	2023届高三04班	1.000	0.931
 
-030372
-20221109	2023届高三04班	0.897
+2145
+K0705003X
 
-030343
-20221109	2023届高三04班	1.000	0.897	0.552
 
-030408
-20221109	2023届高三04班	0.241
+2145
+K0706001X
 
-030410
-20221109	2023届高三04班	0.448
 
-030411
-20221109	2023届高三04班	0.690	0.517
+2146
+K0705003X
 
-030377
-20221109	2023届高三04班	0.621
 
-009922
-20221109	2023届高三04班	0.931	0.931	0.966	1.000
+2147
+K0702003X
 
-030352
-20221109	2023届高三04班	0.931
 
-030451
-20221109	2023届高三04班	0.828
+2148
+KNONE
 
-009926
-20221109	2023届高三04班	0.655
 
-030374
-20221109	2023届高三05班	0.892	0.919
+2149
+K0703002X
 
-030372
-20221109	2023届高三05班	0.757
 
-030343
-20221109	2023届高三05班	1.000	0.865	0.378
+2149
+K0702005X
 
-030408
-20221109	2023届高三05班	0.513
 
-030410
-20221109	2023届高三05班	0.703
+2150
+K0703002X
 
-030411
-20221109	2023届高三05班	0.784	0.622
 
-030377
-20221109	2023届高三05班	0.730
+2150
+K0702001X
 
-009922
-20221109	2023届高三05班	1.000	1.000	0.946	0.946
 
-030352
-20221109	2023届高三05班	1.000
+2151
+K0702003X
 
-030451
-20221109	2023届高三05班	0.649
 
-009926
-20221109	2023届高三05班	0.865
+2152
+K0702001X
 
-030374
-20221109	2023届高三06班	0.971	1.000
 
-030372
-20221109	2023届高三06班	0.886
+2152
+K0702005X
 
-030343
-20221109	2023届高三06班	1.000	0.971	0.514
 
-030408
-20221109	2023届高三06班	0.257
+2155
+K0702003X
 
-030410
-20221109	2023届高三06班	0.657
 
-030411
-20221109	2023届高三06班	0.829	0.029
+2156
+K0703002X
 
-030377
-20221109	2023届高三06班	0.914
 
-009922
-20221109	2023届高三06班	0.886	1.000	0.971	0.943
+2156
+K0705003X
 
-030352
-20221109	2023届高三06班	0.943
 
-030451
-20221109	2023届高三06班	0.857
+2156
+K0706001X
 
-009926
-20221109	2023届高三06班	0.800
 
-030374
-20221109	2023届高三07班	1.000	0.893
+2156
+K0702003X
 
-030372
-20221109	2023届高三07班	0.571
 
-030343
-20221109	2023届高三07班	1.000	0.964	0.500
+2157
+K0703002X
 
-030408
-20221109	2023届高三07班	0.286
 
-030410
-20221109	2023届高三07班	0.536
+2158
+K0703002X
 
-030411
-20221109	2023届高三07班	0.821	0.607
 
-030377
-20221109	2023届高三07班	0.286
+2159
+KNONE
 
-009922
-20221109	2023届高三07班	0.964	1.000	1.000	0.964
 
-030352
-20221109	2023届高三07班	0.893
+2160
+K0701004X
 
-030451
-20221109	2023届高三07班	0.679
 
-009926
-20221109	2023届高三07班	0.679
+2161
+K0701004X
 
-030374
-20221109	2023届高三08班	1.000	0.548
 
-030372
-20221109	2023届高三08班	0.742
+2161
+K0701002X
 
-030343
-20221109	2023届高三08班	0.968	0.839	0.387
 
-030408
-20221109	2023届高三08班	0.548
+2162
+K0701001X
 
-030410
-20221109	2023届高三08班	0.548
 
-030411
-20221109	2023届高三08班	0.452	0.484
+2162
+K0701002X
 
-030377
-20221109	2023届高三08班	0.516
 
-009922
-20221109	2023届高三08班	0.871	1.000	0.871	0.742
+2163
+K0701001X
 
-030352
-20221109	2023届高三08班	0.774
 
-030451
-20221109	2023届高三08班	0.581
+2163
+K0701002X
 
-009926
-20221109	2023届高三08班	0.581
 
-030374
-20221109	2023届高三09班	1.000	0.812
+2163
+K0701004X
 
-030372
-20221109	2023届高三09班	0.812
 
-030343
-20221109	2023届高三09班	0.969	0.906	0.500
+2164
+K0701003X
 
-030408
-20221109	2023届高三09班	0.344
 
-030410
-20221109	2023届高三09班	0.531
+2164
+K0701002X
 
-030411
-20221109	2023届高三09班	0.875	0.531
 
-030377
-20221109	2023届高三09班	0.656
+2164
+K0702003X
 
-009922
-20221109	2023届高三09班	0.688	0.969	0.625	0.625
 
-030352
-20221109	2023届高三09班	0.812
+2165
+K0702004X
+
+
+2165
+K0701002X
+
+
+2166
+K0701001X
+
+
+2166
+K0701002X
+
+
+2167
+K0701003X
+
+
+2167
+K0701002X
+
+
+2168
+K0701001X
+
+
+2168
+K0701003X
+
+
+2169
+K0701003X
+
+
+2169
+K0701002X
+
+
+2170
+K0701001X
+
+
+2170
+K0701002X
+
+
+2171
+K0702003X
+
+
+2172
+K0704003X
+
+
+2173
+K0704003X
+
+
+2173
+K0701002X
+
+
+2174
+K0704003X
+
+
+2174
+K0701002X
+
+
+2175
+K0706003X
+
+
+2175
+K0705003X
+
+
+2176
+K0707001X
+
+
+2176
+K0705003X
+
+
+2177
+K0705003X
+
+
+2178
+K0702003X
+
+
+2179
+K0703002X
+
+
+2180
+K0706001X
+
+
+2180
+K0701004X
+
+
+2180
+K0702003X
+
+
+2182
+KNONE
+
+
+2183
+K0708003X
+
+
+2184
+K0702003X
+
+
+2185
+K0706002X
+
+
+2186
+K0706001X
+
+
+2186
+K0707001X
+
+
+2186
+K0705003X
+
+
+2187
+K0706001X
+
+
+2187
+K0702005X
+
+
+2188
+K0706001X
+
+
+2189
+K0706002X
+
+
+2190
+K0706002X
+
+
+2191
+K0704003X
+
+
+2193
+K0706002X
+
+
+2194
+KNONE
+
+
+2195
+KNONE
+
+
+2196
+K0702004X
+
+
+2196
+K0702005X
+
+
+2197
+K0707004X
+
+
+2198
+K0707001X
+
+
+2199
+K0707001X
+
+
+2199
+K0705004X
+
+
+2200
+K0707004X
+
+
+2200
+K0702003X
+
+
+2200
+K0702002X
+
+
+2201
+K0707005X
+
+
+2201
+K0702003X
+
+
+2201
+K0702002X
+
+
+2204
+K0701001X
+
+
+2205
+K0707001X
+
+
+2205
+K0707004X
+
+
+2206
+K0701001X
+
+
+2206
+K0701002X
+
+
+2207
+K0702003X
+
+
+2208
+K0707005X
+
+
+2208
+K0702003X
+
+
+2209
+K0706003X
+
+
+2209
+K0705002X
+
+
+2210
+K0706003X
+
+
+2210
+K0705002X
+
+
+2212
+K0707001X
+
+
+2213
+K0707001X
+
+
+2214
+K0707001X
+
+
+2215
+K0707004X
+
+
+2215
+K0702002X
+
+
+2215
+K0702003X
+
+
+2215
+K0706001X
+
+
+2216
+KNONE
+
+
+2217
+K0701004X
+
+
+2217
+K0706001X
+
+
+2217
+K0707001X
+
+
+2218
+K0707001X
+
+
+2218
+K0703002X
+
+
+2219
+K0703002X
+
+
+2219
+K0706001X
+
+
+2221
+K0708003X
+
+
+2222
+K0708003X
+
+
+2223
+K0704002X
+
+
+2224
+K0706002X
+
+
+2224
+K0708003X
+
+
+2225
+K0708004X
+
+
+2226
+K0708003X
+
+
+2226
+K0708004X
+
+
+2227
+K0708003X
+
+
+2228
+K0708003X
+
+
+2229
+K0706001X
+
+
+2229
+K0702003X
+
+
+2230
+K0702002X
+
+
+2230
+K0702003X
+
+
+2230
+K0708003X
+
+
+2231
+K0702005X
+
+
+2232
+K0706003X
+
+
+2232
+K0702003X
+
+
+2233
+K0706001X
+
+
+2233
+K0703002X
+
+
+2234
+K0704003X
+
+
+2235
+K0704003X
+
+
+2236
+K0706001X
+
+
+3362
+K0705004X
+
+
+3362
+K0701001X
+
+
+3362
+K0701002X
+
+
+3363
+K0701001X
+
+
+3363
+K0701002X
+
+
+3364
+K0701002X
+
+
+3365
+K0705003X
+
+
+3365
+K0703001X
+
+
+3366
+K0706002X
+
+
+3367
+K0707004X
+
+
+3367
+K0707001X
+
+
+3367
+K0705003X
+
+
+3368
+K0702003X
+
+
+3368
+K0703002X
+
+
+3369
+K0707001X
+
+
+3369
+K0707004X
+
+
+3369
+K0702002X
+
+
+3369
+K0702003X
+
+
+3369
+K0706001X
+
+
+3370
+K0701001X
+
+
+3370
+K0701003X
+
+
+3372
+K0702001X
+
+
+3372
+K0702003X
+
+
+3373
+K0701002X
+
+
+3373
+K0701001X
+
+
+3374
+K0701002X
+
+
+3374
+K0702003X
+
+
+3374
+K0703002X
+
+
+3374
+K0705002X
+
+
+3374
+K0706003X
+
+
+3375
+K0706002X
+
+
+3376
+K0707004X
+
+
+3376
+K0708001X
+
+
+3376
+K0702003X
+
+
+3376
+K0702002X
+
+
+3377
+K0707001X
+
+
+3377
+K0703002X
+
+
+3377
+K0702002X
+
+
+3377
+K0702003X
+
+
+3377
+K0706001X
+
+
+3378
+KNONE
+
+
+3380
+KNONE
+
+
+3388
+K0706002X
+
+
+3643
+KNONE
+
+
+3684
+KNONE
+
+
+3755
+K0706002X
+
+
+3755
+K0705003X
+
+
+4213
+K0708003X
+
+
+4254
+K0706002X
+
+
+4281
+K0708003X
+
+
+4299
+K0706002X
+
+
+4299
+K0706001X
+
+
+4538
+K0705003X
+
+
+4628
+K0702003X
+
+
+4705
+K0707001X
+
+
+8748
+KNONE
+
+
+8749
+KNONE
+
+
+8750
+KNONE
+
+
+8751
+KNONE
+
+
+8752
+K0705001X
+
+
+8753
+K0705002X
+
+
+8754
+K0705001X
+
+
+8755
+K0703002X
+
+
+8755
+K0705003X
+
+
+8756
+K0705003X
+
+
+8757
+K0705003X
+
+
+8758
+K0703002X
+
+
+8759
+K0705003X
+
+
+8760
+K0702003X
+
+
+8761
+K0703002X
+
+
+8761
+K0702005X
+
+
+8762
+KNONE
+
+
+8763
+K0705002X
+
+
+8765
+K0703002X
+
+
+8766
+K0701001X
+
+
+8766
+K0701002X
+
+
+8767
+K0701003X
+
+
+8768
+K0701004X
+
+
+8769
+K0701002X
+
+
+8769
+K0702004X
+
+
+8770
+K0701003X
+
+
+8770
+K0702003X
+
+
+8771
+K0701001X
+
+
+8771
+K0701002X
+
+
+8771
+K0702003X
+
+
+8772
+K0701002X
+
+
+8772
+K0702003X
+
+
+8772
+K0704002X
+
+
+8773
+K0703002X
+
+
+8774
+KNONE
+
+
+8775
+K0706003X
+
+
+8775
+K0705002X
+
+
+8776
+K0707001X
+
+
+8776
+K0705002X
+
+
+8777
+K0703002X
+
+
+8777
+K0702003X
+
+
+8777
+K0705002X
+
+
+8778
+K0701004X
+
+
+8778
+K0701002X
+
+
+8779
+K0701004X
+
+
+8780
+K0703002X
+
+
+8781
+K0701001X
+
+
+8781
+K0701002X
+
+
+8781
+K0702003X
+
+
+8783
+K0703002X
+
+
+8783
+K0702005X
+
+
+8784
+K0706002X
+
+
+8785
+K0706002X
+
+
+8785
+K0707001X
+
+
+8786
+K0706002X
+
+
+8786
+K0707001X
+
+
+8786
+K0702001X
+
+
+8787
+K0702003X
+
+
+8787
+K0707002X
+
+
+8787
+K0706001X
+
+
+8787
+K0705002X
+
+
+8787
+K0704002X
+
+
+8788
+K0706001X
+
+
+8790
+K0707001X
+
+
+8791
+K0707001X
+
+
+8792
+K0707001X
+
+
+8793
+K0707004X
+
+
+8794
+K0707005X
+
+
+8795
+K0707005X
+
+
+8795
+K0702003X
+
+
+8795
+K0702002X
+
+
+8796
+K0706002X
+
+
+8797
+K0701002X
+
+
+8797
+K0701004X
+
+
+8797
+K0706001X
+
+
+8798
+K0706002X
+
+
+8799
+K0707002X
+
+
+8799
+K0707005X
+
+
+8799
+K0702003X
+
+
+8800
+K0707004X
+
+
+8800
+K0707003X
+
+
+8801
+K0708003X
+
+
+8802
+KNONE
+
+
+8803
+K0708003X
+
+
+8804
+K0708003X
+
+
+8805
+K0702002X
+
+
+8805
+K0708003X
+
+
+8806
+K0702002X
+
+
+8806
+K0708003X
+
+
+8807
+K0708003X
+
+
+8807
+K0707005X
+
+
+8807
+K0702002X
+
+
+8808
+K0702003X
+
+
+8809
+K0708003X
+
+
+8809
+K0707001X
+
+
+8809
+K0704002X
+
+
+8810
+K0708003X
+
+
+8811
+K0706001X
+
+
+8811
+K0703002X
+
+
+8812
+K0702002X
+
+
+8812
+K0708003X
+
+
+8813
+KNONE
+
+
+8814
+K0705002X
+
+
+8815
+K0705002X
+
+
+8816
+K0701001X
+
+
+8817
+K0705002X
+
+
+8818
+K0707005X
+
+
+8819
+K0708004X
+
+
+8820
+K0701004X
+
+
+8820
+K0701001X
+
+
+8820
+K0701002X
+
+
+8821
+K0706002X
+
+
+8821
+K0707001X
+
+
+8822
+K0706001X
+
+
+8822
+K0707001X
+
+
+8823
+K0707001X
+
+
+8823
+K0708003X
+
+
+8824
+KNONE
+
+
+8825
+KNONE
+
+
+8826
+K0702002X
+
+
+8826
+K0706001X
+
+
+8826
+K0707004X
+
+
+8826
+K0707005X
+
+
+8827
+K0705002X
+
+
+8828
+K0706001X
+
+
+8829
+K0706002X
+
+
+8830
+K0701004X
+
+
+8830
+K0701002X
+
+
+8830
+K0701001X
+
+
+8831
+K0702005X
+
+
+8832
+K0705002X
+
+
+8833
+K0703002X
+
+
+8834
+K0702002X
+
+
+8835
+K0702002X
+
+
+9074
+K0706002X
+
+
+9083
+K0701003X
+
+
+9084
+K0707001X
+
+
+9084
+K0702005X
+
+
+9085
+KNONE
+
+
+9094
+K0702005X
+
+
+9104
+K0708003X
+
+
+9780
+K0701003X
+
+
+9780
+K0701002X
+
+
+9781
+K0701001X
+
+
+9782
+K0701001X
+
+
+9783
+K0702003X
+
+
+9784
+K0702001X
+
+
+9784
+K0702004X
+
+
+9784
+K0701002X
+
+
+9785
+K0704002X
+
+
+9786
+K0701004X
+
+
+9786
+K0702003X
+
+
+9787
+K0703002X
+
+
+9788
+K0706003X
+
+
+9788
+K0702002X
+
+
+9789
+K0703002X
+
+
+9790
+K0701001X
+
+
+9790
+K0701002X
+
+
+9791
+K0704003X
+
+
+9792
+K0704003X
+
+
+9793
+K0705001X
+
+
+9794
+K0705001X
+
+
+9795
+K0702001X
+
+
+9795
+K0705003X
+
+
+9795
+K0702003X
+
+
+9796
+K0706002X
+
+
+9796
+K0706001X
+
+
+9797
+K0706002X
+
+
+9798
+K0706001X
+
+
+9798
+K0705003X
+
+
+9799
+K0707001X
+
+
+9800
+K0707001X
+
+
+9800
+K0705002X
+
+
+9801
+K0707004X
+
+
+9802
+K0707005X
+
+
+9803
+K0702002X
+
+
+9803
+K0707005X
+
+
+9804
+K0708003X
+
+
+9805
+K0703002X
+
+
+9805
+K0708003X
+
+
+10591
+K0701001X
+
+
+10591
+K0701002X
+
+
+10592
+K0701003X
+
+
+10592
+K0701002X
+
+
+10593
+K0701002X
+
+
+10593
+K0701001X
+
+
+10594
+K0706003X
+
+
+10595
+K0701001X
+
+
+10595
+K0701003X
+
+
+10596
+K0701003X
+
+
+10596
+K0701002X
+
+
+10597
+K0701001X
+
+
+10598
+K0701004X
+
+
+10598
+K0705004X
+
+
+10599
+K0701002X
+
+
+10599
+K0702003X
+
+
+10600
+K0702001X
+
+
+10600
+K0702004X
+
+
+10600
+K0701002X
+
+
+10601
+K0701004X
+
+
+10601
+K0702001X
+
+
+10602
+K0701002X
+
+
+10602
+K0702001X
+
+
+10603
+K0702001X
+
+
+10603
+K0702002X
+
+
+10604
+K0703002X
+
+
+10605
+K0703002X
+
+
+10606
+K0703002X
+
+
+10607
+K0703002X
+
+
+10608
+K0701004X
+
+
+10608
+K0701002X
+
+
+10609
+K0704003X
+
+
+10610
+K0702005X
+
+
+10610
+K0702001X
+
+
+10612
+K0707001X
+
+
+10613
+K0703002X
+
+
+10614
+K0703002X
+
+
+10615
+K0706001X
+
+
+10616
+K0703002X
+
+
+10617
+K0702005X
+
+
+10618
+K0701001X
+
+
+10618
+K0702002X
+
+
+10619
+K0706001X
+
+
+10620
+K0701004X
+
+
+10620
+K0704003X
+
+
+10621
+K0706002X
+
+
+10622
+K0706002X
+
+
+10623
+K0706002X
+
+
+10624
+K0706002X
+
+
+10626
+K0707001X
+
+
+10627
+K0707001X
+
+
+10627
+K0702003X
+
+
+10627
+K0706001X
+
+
+10628
+K0702002X
+
+
+10628
+K0707005X
+
+
+10629
+K0707004X
+
+
+10630
+K0707004X
+
+
+10631
+K0702002X
+
+
+10631
+K0707005X
+
+
+10635
+K0706002X
+
+
+10635
+K0707001X
+
+
+10635
+K0702002X
+
+
+10636
+K0707001X
+
+
+10636
+K0706001X
+
+
+10636
+K0703002X
+
+
+10637
+K0706001X
+
+
+10637
+K0702003X
+
+
+10638
+K0703002X
+
+
+10639
+K0708003X
+
+
+10640
+K0708003X
+
+
+10642
+K0708004X
+
+
+10643
+K0702004X
+
+
+10643
+K0708003X
+
+
+10644
+K0708003X
+
+
+10645
+K0702002X
+
+
+10645
+K0707005X
+
+
+30026
+K0705002X
+
+
+30026
+K0708003X
 
-030451
-20221109	2023届高三09班	0.406
 
-009926
-20221109	2023届高三09班	0.688
 
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 05fc4955..7ab75490 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -8711,7 +8711,9 @@
     "000334": {
         "id": "000334",
         "content": "已知直线$l$经过点$(-\\sqrt{5},0)$且方向向量为$(2,-1)$, 则原点$O$到直线$l$的距离为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -13864,7 +13866,10 @@
     "000513": {
         "id": "000513",
         "content": "已知点$A(2,3)$、点$B(-2,\\sqrt3)$, 直线$l$过点$P(-1,0)$, 若直线$l$与线段$AB$相交, 则直线$l$的倾斜角的取值范围是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -14121,7 +14126,9 @@
     "000522": {
         "id": "000522",
         "content": "已知点$A(2,3)$到直线$ax+(a-1)y+3=0$的距离不小于$3$, 则实数$a$的取值范围是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0708001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -14323,7 +14330,10 @@
     "000530": {
         "id": "000530",
         "content": "已知直线$l$的一个法向量是$\\overrightarrow{n}=(\\sqrt3,-1)$, 则$l$的倾斜角的大小是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0705001X",
+            "K0701001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -17290,7 +17300,10 @@
     "000643": {
         "id": "000643",
         "content": "在平面直角坐标系中, 已知点$P(-2,2)$, 对于任意不全为零的实数$a$、$b$, 直线$l:a(x-1)+b(y+2)=0$, 若点$P$到直线$l$的距离为$d$, 则$d$的取值范围是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0705002X",
+            "K0704003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -20056,7 +20069,9 @@
     "000747": {
         "id": "000747",
         "content": "直线$ax+(a-1)y+1=0$与直线$4x+ay-2=0$互相平行, 则实数$a=$\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -20805,7 +20820,10 @@
     "000775": {
         "id": "000775",
         "content": "平面上三条直线$x-2y+1=0$, $x-1=0$, $x+ky=0$, 如果这三条直线将平面划分为六个部分, 则实数$k$的取值组成的集合$A=$\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706002X",
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -23613,7 +23631,9 @@
     "000880": {
         "id": "000880",
         "content": "若$\\overrightarrow d=(3,2)$是直线$l$的一个方向向量, 则$l$的倾斜角的大小为\\blank{50}(结果用反三角函数值表示).",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -25332,7 +25352,9 @@
     "000946": {
         "id": "000946",
         "content": "直线$x+2y-1=0$与直线$y=1$的夹角大小为\\blank{50}(结果用反三角函数值表示).",
-        "objs": [],
+        "objs": [
+            "K0707004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -25684,7 +25706,9 @@
     "000960": {
         "id": "000960",
         "content": "在平面直角坐标系$xOy$中, 将点$A(2,1)$绕原点$O$逆时针旋转$\\dfrac\\pi 4$到点$B$, 若直线$OB$的倾斜角为$\\alpha$, 则$\\cos \\alpha$的值为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -56640,7 +56664,9 @@
     "002107": {
         "id": "002107",
         "content": "若点$M$到$x$轴的距离和它到直线$y=\\sqrt{3}x$的距离相等, 则点$M$的轨迹方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57078,7 +57104,9 @@
     "002125": {
         "id": "002125",
         "content": "若直线经过点$(2,-3)$, 且平行于向量$\\overrightarrow{d}=(3,4)$. 则直线$l$的点方向式方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57106,7 +57134,9 @@
     "002126": {
         "id": "002126",
         "content": "过点$(-1,0)$且与直线$\\dfrac{x+1}{5}=\\dfrac{y+1}{-3}$有相同的方向向量的直线方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57131,7 +57161,9 @@
     "002127": {
         "id": "002127",
         "content": "将直线$2x-3y+4=0$写成点方向式方程, 你的结果是\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57160,7 +57192,9 @@
     "002128": {
         "id": "002128",
         "content": "直线$2x-3y-1=0$的一个方向向量为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57187,7 +57221,9 @@
     "002129": {
         "id": "002129",
         "content": "直线$3x+2=0$的一个方向向量为\\blank{50},\n直线$4-3y=0$\\underline{所有的}方向向量为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57214,7 +57250,9 @@
     "002130": {
         "id": "002130",
         "content": "将直线$2x-3y+4=0$写成点方向式方程, 你的结果是\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57243,7 +57281,9 @@
     "002131": {
         "id": "002131",
         "content": "若直线$l$与两坐标轴围成一个等腰直角三角形, 则直线$l$的一个方向向量为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57268,7 +57308,9 @@
     "002132": {
         "id": "002132",
         "content": "已知直线$l$过点$(1,2)$, 且$M(2,3)$与$N(4,-5)$两点到直线$l$的距离相等. 则直线$l$的点方向式方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57293,7 +57335,9 @@
     "002133": {
         "id": "002133",
         "content": "已知平行四边形$ABCD$的三个顶点的坐标分别为$A(1,2),B(3,4),C(2,6)$, 分别求$AB$边与$AD$边所在直线的点方向式方程.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57320,7 +57364,9 @@
     "002134": {
         "id": "002134",
         "content": "已知梯形$ABCD$的三个顶点的坐标分别为$A(2,3),B(-2,1),C(4,5)$, 求此梯形中位线所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57371,7 +57417,9 @@
     "002136": {
         "id": "002136",
         "content": "若直线经过点$(2,-3)$, 且垂直于向量$(3,4)$. 则直线$l$的点法向式方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57399,7 +57447,9 @@
     "002137": {
         "id": "002137",
         "content": "若直线经过点$(2,-3)$, 且垂直于向量$(3,4)$. 则直线$l$的点方向式方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57427,7 +57477,9 @@
     "002138": {
         "id": "002138",
         "content": "将直线$2x-3y+4=0$写成点法向式方程, 你的结果是\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57455,7 +57507,9 @@
     "002139": {
         "id": "002139",
         "content": "直线$2x-3y-1=0$的一个法向量为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0705001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57482,7 +57536,9 @@
     "002140": {
         "id": "002140",
         "content": "直线$3x+2=0$的一个法向量为\\blank{50},\n直线$4-3y=0$\\underline{所有的}法向量为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0705001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57509,7 +57565,9 @@
     "002141": {
         "id": "002141",
         "content": "若直线$2(x+1)+9(y-1)=0$的一个法向量为$(a-1,a^2)$, 则实数$a$的值为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0705001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57534,7 +57592,9 @@
     "002142": {
         "id": "002142",
         "content": "已知原点$O$在直线$l$上的射影为$H(2,3)$, 则直线$l$的方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57559,7 +57619,9 @@
     "002143": {
         "id": "002143",
         "content": "已知正方形$ABCD$的顶点$A(-1,1)$, 正方形中心坐标为$(0,3)$, 则对角线$BD$所在直线的方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57584,7 +57646,9 @@
     "002144": {
         "id": "002144",
         "content": "过点$A(-1,1)$, 且与点$B(2,5)$距离最大的直线的方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57609,7 +57673,10 @@
     "002145": {
         "id": "002145",
         "content": "已知$\\triangle ABC$三边所在的直线分别为$4x-y=3$, $x+y=7$, $3x-2y=1$. $\\triangle ABC$的垂心$H$的坐标为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0705003X",
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57634,7 +57701,9 @@
     "002146": {
         "id": "002146",
         "content": "已知$\\triangle ABC$两个顶点的坐标分别为$A(-2,1),B(4,-3)$, $\\triangle ABC$的垂心坐标为$H(0,2)$.\n求$BC$边所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57661,7 +57730,9 @@
     "002147": {
         "id": "002147",
         "content": "三角形$ABC$中，已知$A(1,0),B(1,1),C(5,3)$, 求角$A$的内角平分线所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57686,7 +57757,9 @@
     "002148": {
         "id": "002148",
         "content": "直线$l$过点$(2,3)$, 它的法向量是直线$x-2y=0$的方向向量, 则直线$l$的方程为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57711,7 +57784,10 @@
     "002149": {
         "id": "002149",
         "content": "若三点$A(3,1)$, $B(-2,b)$, $C(8,11)$同在一条直线上, 则实数$b$等于\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0703002X",
+            "K0702005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57736,7 +57812,10 @@
     "002150": {
         "id": "002150",
         "content": "在$x,y$轴上截距分别是$3$, $4$的直线的方程是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0703002X",
+            "K0702001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57761,7 +57840,9 @@
     "002151": {
         "id": "002151",
         "content": "已知直线$l$过点$(3,-1)$, 且与两坐标轴为成一个等腰三角形, 则直线$l$的方程为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57786,7 +57867,10 @@
     "002152": {
         "id": "002152",
         "content": "若直线$(m+2)x+(m^2-2m-3)y=2m$在$x$轴上的截距是$3$, 则实数$m$的值为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0702001X",
+            "K0702005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57862,7 +57946,9 @@
     "002155": {
         "id": "002155",
         "content": "过点$(2,3)$, 且在两条坐标轴上的截距相等的直线方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57887,7 +57973,12 @@
     "002156": {
         "id": "002156",
         "content": "已知$\\triangle ABC$的两个顶点坐标$A(0,0)$, $B(21,0)$.\\\\ \n(1) 若三角形重心$G$的坐标为$(10,3)$, 求$AC$边所在直线的方程;\\\\ \n(2) 若三角形垂心$H$的坐标为$(15,6)$, 求点$C$的坐标;\\\\ \n(3) 若点$C$的坐标为$(16,12)$, 求三角形内心$I$的坐标.",
-        "objs": [],
+        "objs": [
+            "K0703002X",
+            "K0705003X",
+            "K0706001X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57912,7 +58003,9 @@
     "002157": {
         "id": "002157",
         "content": "在$\\triangle ABC$中, 已知点$A(5,-2)$, $B(7,3)$, 且边$AC$的中点$M$在$y$轴上, 边$BC$的中点$N$在$x$轴上. 求:\\\\ \n(1) 顶点$C$的坐标;\\\\ \n(2) 直线$MN$的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57937,7 +58030,9 @@
     "002158": {
         "id": "002158",
         "content": "(利用截距式方程求解)\n已知直线$l$过点$P(3,2)$, 且与$x$正半轴, $y$正半轴分别交于点$A,B$.\\\\ \n(1) 求$\\triangle AOB$面积的最小值及此时$l$的方程($O$为坐标原点);\\\\ \n(2) 求直线$l$在两轴上截距之和的最小值.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57964,7 +58059,9 @@
     "002159": {
         "id": "002159",
         "content": "已知直线斜率$k=-2$, 则其倾斜角为\\blank{50}, 一个方向向量为\\blank{50}.\\\\ \n已知直线的一个方向向量为$(1,-3)$, 则其倾斜角为\\blank{50}, 斜率为\\blank{50}.\\\\ \n已知直线的倾斜角为$\\dfrac{\\pi}{6}$, 则其斜率为\\blank{50}, 一个方向向量为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -57989,7 +58086,9 @@
     "002160": {
         "id": "002160",
         "content": "若下列直线的斜率不存在, 则填``不存在''; 若存在, 则写出斜率值.\\\\ \n(1) 直线$2y-1=0$的斜率为\\blank{50};\\\\ \n(2) 直线$2x-1=0$的斜率为\\blank{50};\\\\ \n(3) 设$a,b$为正数, 直线$ax+by-1=0$的斜率为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58014,7 +58113,10 @@
     "002161": {
         "id": "002161",
         "content": "若$-\\dfrac{\\pi}{2}<\\theta<0$, 则直线$y=x\\cot\\theta$的倾斜角为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701004X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58039,7 +58141,10 @@
     "002162": {
         "id": "002162",
         "content": "已知直线$l$的斜率不大于$\\sqrt{3}$, 则它的倾斜角的取值范围为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58064,7 +58169,11 @@
     "002163": {
         "id": "002163",
         "content": "若$\\theta\\in \\mathbf{R}$, 则直线$y=x\\sin\\theta+1$的倾斜角的取值范围为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701002X",
+            "K0701004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58089,7 +58198,11 @@
     "002164": {
         "id": "002164",
         "content": "过点$P(2,3)$与$Q(1,5)$的直线$PQ$的倾斜角为\\blank{50}, 点斜式方程为\\blank{80}.",
-        "objs": [],
+        "objs": [
+            "K0701003X",
+            "K0701002X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58114,7 +58227,10 @@
     "002165": {
         "id": "002165",
         "content": "已知直线$l$的倾斜角的正弦值为$\\dfrac{3}{5}$, 且过$(1,1)$, 则该直线的斜截式方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0702004X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58139,7 +58255,10 @@
     "002166": {
         "id": "002166",
         "content": "已知直线$l$的倾斜角为直线$y=\\sqrt{3}x+1$的倾斜角的一半, 则直线$l$的斜率为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58164,7 +58283,10 @@
     "002167": {
         "id": "002167",
         "content": "设点$A(2,-3)$, $B(-3,-2)$, 直线$l$过点$P(1,1)$且与线段$AB$相交,\n则$l$的斜率$k$的取值范围为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701003X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58189,7 +58311,10 @@
     "002168": {
         "id": "002168",
         "content": "过原点引直线$l$, 使$l$与连接$A(1,1)$和$B(1,-1)$两点的线段相交,\n则直线$l$倾斜角的取值范围为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58214,7 +58339,10 @@
     "002169": {
         "id": "002169",
         "content": "设$m$为实常数, 已知两点$M(2m+3,m),N(m-2,1)$, 求直线$MN$的倾斜角.",
-        "objs": [],
+        "objs": [
+            "K0701003X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58239,7 +58367,10 @@
     "002170": {
         "id": "002170",
         "content": "若直线$l$的倾斜角是连接$(3,-5)$, $(0,-9)$两点的直线的倾斜角的两倍, 求$l$的斜率.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58264,7 +58395,9 @@
     "002171": {
         "id": "002171",
         "content": "[利用点斜式方程求解]\n已知直线$l$过点$P(3,2)$, 且与$x$正半轴, $y$正半轴分别交于点$A,B$.\\\\ \n(1) 求$\\triangle AOB$面积的最小值及此时$l$的方程($O$为坐标原点);\\\\ \n(2) 求直线$l$在两轴上截距之和的最小值.",
-        "objs": [],
+        "objs": [
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58291,7 +58424,9 @@
     "002172": {
         "id": "002172",
         "content": "如果$pr<0$, $qr<0$, 那么直线$px+qy+r=0$一定不通过第\\blank{40}象限.",
-        "objs": [],
+        "objs": [
+            "K0704003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58316,7 +58451,10 @@
     "002173": {
         "id": "002173",
         "content": "直线$x-ay+1=0\\ (a<0)$的斜率为\\blank{50}, 倾斜角为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0704003X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58341,7 +58479,10 @@
     "002174": {
         "id": "002174",
         "content": "直线$x-ay+1=0\\ (a\\geq 0)$的倾斜角为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0704003X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58366,7 +58507,10 @@
     "002175": {
         "id": "002175",
         "content": "设$a,b$是常数, 过$(a,b)$且平行于直线$2x-y+1=0$的直线方程为\\blank{80}.",
-        "objs": [],
+        "objs": [
+            "K0706003X",
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58393,7 +58537,10 @@
     "002176": {
         "id": "002176",
         "content": "设$a,b$是常数, 过$(a,b)$且垂直于直线$2x-y+1=0$的直线方程为\\blank{80}.",
-        "objs": [],
+        "objs": [
+            "K0707001X",
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58420,7 +58567,9 @@
     "002177": {
         "id": "002177",
         "content": "已知矩形$OABC$的顶点$A$的坐标为$(4,3)$, 则直线$AB$的方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58445,7 +58594,9 @@
     "002178": {
         "id": "002178",
         "content": "若直线与两坐标轴相交, 且被两轴截得的线段中点为$(1,2)$, 则此直线的方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58470,7 +58621,9 @@
     "002179": {
         "id": "002179",
         "content": "已知$A(-1,0)$, $B(7,2)$, $C(3,8)$是$\\triangle ABC$的三个顶点,\n直线$l$过顶点$C$且平分$\\triangle ABC$的面积, 则$l$的方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58495,7 +58648,11 @@
     "002180": {
         "id": "002180",
         "content": "直线$l$与直线$y=ax+b(a\\ne 0)$夹角的平分线是直线$y=x$, 则直线$l$的方程是\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0706001X",
+            "K0701004X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58544,7 +58701,9 @@
     "002182": {
         "id": "002182",
         "content": "[不定项选择]\n已知直线$l:f(x,y)=0$与直线$l$外一点$P(x_0,y_0)$, 那么曲线$f(x,y)-f(x_0,y_0)=0$可能为\\bracket{20}.\n\\twoch{过$P$且与$l$平行的直线}{两条直线}{直线$l$}{与$l$相交的直线}",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58569,7 +58728,9 @@
     "002183": {
         "id": "002183",
         "content": "已知点$A(x_1,y_1)$, $B(x_2,y_2)$分别在直线$x+y-7=0$和直线$x+y-5=0$上, 求$AB$的中点$M$到原点距离的最小值.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58594,7 +58755,9 @@
     "002184": {
         "id": "002184",
         "content": "[利用点斜式方程求解]\n已知$l$经过点$P(1,2)$, 且与两坐标轴围成的三角形面积为$S$.\\\\ \n(1) 当$S=3$时, 满足条件的直线有几条?\\\\ \n(2) 当$S=4$时, 满足条件的直线有几条?\\\\ \n(3) 当$S=5$时, 满足条件的直线有几条?\\\\ \n(4) 设常数$a>0$, 当$S=a$时, 满足条件的直线有几条? (只需写出结果)\\\\ \n注: 观察第(4)小问在几何图形上的直观意义, 再观察第(2)小问与练习7的联系, 以后你可以仅通过心算就可猜出(4)的结果吗?",
-        "objs": [],
+        "objs": [
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58619,7 +58782,9 @@
     "002185": {
         "id": "002185",
         "content": "设$t$是常数, 讨论直线$l_1:6x+(t-1)y=8$与直线$l_2:(t+4)x+(t+6)y=16$的位置关系.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58644,7 +58809,11 @@
     "002186": {
         "id": "002186",
         "content": "经过两直线$x-2y+4=0$, $x+y-2=0$的交点, 且与直线$3x-4y+5=0$垂直的直线的方程为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706001X",
+            "K0707001X",
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58669,7 +58838,10 @@
     "002187": {
         "id": "002187",
         "content": "若直线$x-2y+4=0$经过直线$x+y-2=0$和$x+ay+8=0$的交点, 则实数$a=$\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706001X",
+            "K0702005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58694,7 +58866,9 @@
     "002188": {
         "id": "002188",
         "content": "若直线$y=kx+k+2$与直线$y=-2x+4$有交点, 且交点在第一象限内, 则实数$k$的取值范围为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58719,7 +58893,9 @@
     "002189": {
         "id": "002189",
         "content": "若直线$(2m^2+m-3)x+(m^2-m)y=4m-1$与直线$2x-3y=5$互相平行, 则实数$m$的值为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58744,7 +58920,9 @@
     "002190": {
         "id": "002190",
         "content": "若直线$mx-2y=1$与直线$6x-4y+n=0$重合, 则实数$m,n$的值分别为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58771,7 +58949,9 @@
     "002191": {
         "id": "002191",
         "content": "已知无论实数$m$取何值, 直线$(2m-1)x+(m+3)y-(m-11)=0$都通过一个定点, 该定点的坐标为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0704003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58820,7 +59000,9 @@
     "002193": {
         "id": "002193",
         "content": "方程$4x^2-y^2+4x+2y=0$表示的曲线是\\bracket{20}.\n\\twoch{一个点}{两条互相平行的直线}{两条互相垂直的直线}{两条相交但不垂直的直线}",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58845,7 +59027,9 @@
     "002194": {
         "id": "002194",
         "content": "求证: 若三条两两相交的直线$l_i:a_ix+b_iy+c_i=0  (i=1,2,3)$交于同一点, 则\n$\\left|\\begin{array}{ccc}a_1 & b_1& c_1\\\\a_2& b_2&c_2\\\\a_3&b_3&c_3\\end{array}\\right|=0$.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58872,7 +59056,9 @@
     "002195": {
         "id": "002195",
         "content": "求证: 若三条两两相交的直线$l_i:a_ix+b_iy+c_i=0 (i=1,2,3)$满足$\\left|\\begin{array}{ccc}a_1 & b_1& c_1\\\\a_2& b_2&c_2\\\\a_3&b_3&c_3\\end{array}\\right|=0$, 则它们交于同一点.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58899,7 +59085,10 @@
     "002196": {
         "id": "002196",
         "content": "[选做, 注意逻辑]\n对于某直线$l$上的任意点$(x,y)$, 点$(x+3y,8x-y)$也在该直线上, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0702004X",
+            "K0702005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58924,7 +59113,9 @@
     "002197": {
         "id": "002197",
         "content": "直线$x+y=1$与直线$2x+y=0$的夹角为\\blank{50}, 直线$x=1$与直线$2x+y=0$的夹角为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0707004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58949,7 +59140,9 @@
     "002198": {
         "id": "002198",
         "content": "若直线$l_1: ax+(1-a)y=3$与直线$l_2:(a-1)x+(2a+3)y=2$互相垂直, 则实数$a$的值为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58974,7 +59167,10 @@
     "002199": {
         "id": "002199",
         "content": "若直线$l_1$和$l_2$的斜率是方程$6x^2+x-1=0$的两根, 则$l_1$与$l_2$的夹角为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0707001X",
+            "K0705004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -58999,7 +59195,11 @@
     "002200": {
         "id": "002200",
         "content": "若直线$l$过原点, 且与直线$y=\\sqrt{3}x+1$夹角为$30^\\circ$, 则直线$l$的方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0707004X",
+            "K0702003X",
+            "K0702002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59024,7 +59224,11 @@
     "002201": {
         "id": "002201",
         "content": "若等腰直角三角形$ABC$的斜边所在直线的方程是$3x-y+2=0$, 直角顶点是$C(3,-2)$, 则直角边$AC$的方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0707005X",
+            "K0702003X",
+            "K0702002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59097,7 +59301,9 @@
     "002204": {
         "id": "002204",
         "content": "若直线$l$沿$x$轴的负方向平移$3$个单位, 再沿$y$轴正方向平移$1$个单位后,\n又回到原来的位置, 则直线$l$的斜率为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59122,7 +59328,10 @@
     "002205": {
         "id": "002205",
         "content": "已知直线$l_1$过点$M$, 将直线$l_1$绕点$M$沿顺时针方向旋转$\\alpha\\in(0,\\dfrac{\\pi}{2})$角, 得到的直线$l_2$的方程为$x+y-2=0$, 将直线$l_2$再绕点$M$顺时针方向旋转$\\dfrac{\\pi}{2}-\\alpha$角, 得到的直线$l_3$的方程为$2x-y-1=0$, 则直线$l_1$的方程为\\blank{100}, $\\alpha=$\\blank{40}.",
-        "objs": [],
+        "objs": [
+            "K0707001X",
+            "K0707004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59147,7 +59356,10 @@
     "002206": {
         "id": "002206",
         "content": "已知$M(-1,-5),N(3,-2)$, 若直线$l$的倾斜角是直线$MN$的倾斜角的一半, 则直线$l$的斜率为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59172,7 +59384,9 @@
     "002207": {
         "id": "002207",
         "content": "已知等腰三角形的底边过点$P(2,1)$, 两腰所在直线为$x+y-2=0$与$7x-y+4=0$, 求其底边所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59197,7 +59411,10 @@
     "002208": {
         "id": "002208",
         "content": "等腰三角形的一条腰所在直线为${{l}_{1}}:x-2y-2=0$, 底边所在直线为${{l}_{2}}:x+y-1=0$, $(-2,0)$在另一腰上, 求这条腰所在直线${{l}_{3}}$的方程.",
-        "objs": [],
+        "objs": [
+            "K0707005X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59222,7 +59439,10 @@
     "002209": {
         "id": "002209",
         "content": "与直线$x-y+\\sqrt{3}=0$关于原点成中心对称的直线方程是\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0706003X",
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59247,7 +59467,10 @@
     "002210": {
         "id": "002210",
         "content": "直线$2x+5y-7=0$关于点$A(1,2)$对称的直线的方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0706003X",
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59300,7 +59523,9 @@
     "002212": {
         "id": "002212",
         "content": "点$(a,b)$关于直线$x+y=0$的对称点是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59327,7 +59552,9 @@
     "002213": {
         "id": "002213",
         "content": "点$(2,0)$关于直线$2x-y+1=0$的对称点的坐标是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59354,7 +59581,9 @@
     "002214": {
         "id": "002214",
         "content": "点$(a,b)$关于直线$2x-y+1=0$的对称点的坐标是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59382,7 +59611,12 @@
     "002215": {
         "id": "002215",
         "content": "直线$y=x+1$关于直线$2x-y+1=0$对称的直线的方程是\\blank{80}.",
-        "objs": [],
+        "objs": [
+            "K0707004X",
+            "K0702002X",
+            "K0702003X",
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59407,7 +59641,9 @@
     "002216": {
         "id": "002216",
         "content": "曲线$F(x,y)=0$关于直线$2x-y+1=0$对称的曲线的方程是\\blank{80}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59432,7 +59668,11 @@
     "002217": {
         "id": "002217",
         "content": "若直线$ax-y+2=0$与直线$3x-y-b=0$关于直线$y=x$对称, 则数对$(a,b)=$\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701004X",
+            "K0706001X",
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59457,7 +59697,10 @@
     "002218": {
         "id": "002218",
         "content": "若点$A(a+2,b+2)$关于直线$4x+3y+11=0$的对称点是$B(b-4,a-b)$, 则$(a,b)=$\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0707001X",
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59482,7 +59725,10 @@
     "002219": {
         "id": "002219",
         "content": "光线通过点$A(2,0)$, 经直线$2x-y+1=0$反射. 若反射线通过点$B(0,-2)$, 则反射光线所在直线的方程为\\blank{80}.",
-        "objs": [],
+        "objs": [
+            "K0703002X",
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59531,7 +59777,9 @@
     "002221": {
         "id": "002221",
         "content": "已知点$A(2,0)$和$B(4,2)$, 直线$l: x=0$上有一动点$P$.\\\\ \n(1) 求$|PA|+|PB|$的最小值与相应的$P$点的坐标;\\\\ \n(2) $||PA|-|PB||$是否存在最小值? 若存在, 求出最小值与相应的$P$点的坐标, 若不存在, 说明理由;\\\\ \n(3) $|PA|-|PB|$是否存在最大值? 若存在, 求出最大值与相应的$P$点的坐标, 若不存在, 说明理由;\\\\ \n(4)(选做) $|PB|-|PA|$是否存在最大值? 若存在, 求出最大值与相应的$P$点的坐标, 若不存在, 说明理由.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59556,7 +59804,9 @@
     "002222": {
         "id": "002222",
         "content": "直线$x+y-4=0$上的点与坐标原点的距离的最小值为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59581,7 +59831,9 @@
     "002223": {
         "id": "002223",
         "content": "若点$P(a,b)$在直线$x+y+1=0$上, 则$\\sqrt{a^2+b^2-2a-2b+2}$的最小值为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0704002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59606,7 +59858,10 @@
     "002224": {
         "id": "002224",
         "content": "设$p$是实数, 则若点$(1,1)$与点$(p,3)$在直线$2x-3y-1=0$的异侧, 则$p$的取值范围为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706002X",
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59631,7 +59886,9 @@
     "002225": {
         "id": "002225",
         "content": "已知直线$3x+2y-3=0$与$6x+my+1=0$平行, 则它们之间的距离等于\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0708004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59656,7 +59913,10 @@
     "002226": {
         "id": "002226",
         "content": "已知直线$l$平行于直线$x+y+2=0$, 且这两条直线之间的距离为$3\\sqrt{2}$, 则直线$l$的方程为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0708003X",
+            "K0708004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59681,7 +59941,9 @@
     "002227": {
         "id": "002227",
         "content": "已知两平行直线$l_1:3x+4y-10=0$与$l_2:3x+4y-25=0$. 又直线$l$和$l_1$之间的距离与$l$和$l_2$之间的距离之比为$2:3$, 那么直线$l$的方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59706,7 +59968,9 @@
     "002228": {
         "id": "002228",
         "content": "已知正方形$ABCD$的中心为点$(1,1)$, $AB$边所在直线方程为$x+3y+1=0$, 则$AD$边所在直线的方程是\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59731,7 +59995,10 @@
     "002229": {
         "id": "002229",
         "content": "到原点和直线$x+3y=2$距离相等且又在直线$x+3y=0$上的点$P$的坐标是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706001X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59756,7 +60023,11 @@
     "002230": {
         "id": "002230",
         "content": "到直线$2x-y+1=0$与直线$x-2y=2$距离相等的点的轨迹方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0702002X",
+            "K0702003X",
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59781,7 +60052,9 @@
     "002231": {
         "id": "002231",
         "content": "已知$P_1(1,0)$与$P_2(7,-8)$两点分别在直线$l$的两侧, 且这两点到直线$l$的距离均为$4$, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0702005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59808,7 +60081,10 @@
     "002232": {
         "id": "002232",
         "content": "不求直线$AB$的方程, 仅用定比分点公式解决如下问题: ``已知点$A(x_1,y_1)$, $B(x_2,y_2)$, 不平行于$AB$的直线$ax+by+c=0$交直线$AB$于$P$点, $\\overrightarrow{AP}=\\lambda\\overrightarrow{PB}$, 求分比$\\lambda$.''",
-        "objs": [],
+        "objs": [
+            "K0706003X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59833,7 +60109,10 @@
     "002233": {
         "id": "002233",
         "content": "已知直线${{l}_{1}}:2x+y+1=0$与直线${{l}_{2}}:x-y=0$的交点为$P$.\\\\ \n(1) 若直线${{l}_{3}}$平行于${{l}_{1}}$且过$(9,9)$, 则${{l}_{3}}$的方程为\\blank{100};\\\\ \n(2) 若直线${{l}_{4}}$过$P$与点$(1,2)$, 则${{l}_{4}}$的方程为\\blank{100}.",
-        "objs": [],
+        "objs": [
+            "K0706001X",
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59858,7 +60137,9 @@
     "002234": {
         "id": "002234",
         "content": "动直线$l: (k+2)x-2k+(2k+1)y-1=0$过定点\\blank{50}, 定点$P(1,3)$到$l$的距离的取值范围为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0704003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59883,7 +60164,9 @@
     "002235": {
         "id": "002235",
         "content": "已知实数$a,b$满足$2a-3b=1$, 一族直线$l:ax+by-5=0$是否过定点? 若过定点, 求出这个定点的坐标; 若不过定点, 请说明理由.",
-        "objs": [],
+        "objs": [
+            "K0704003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -59908,7 +60191,9 @@
     "002236": {
         "id": "002236",
         "content": "已知两直线$a_1x+b_1y+1=0$和$a_2x+b_2y+1=0$的交点是$P(1,2)$, 求过两点$Q(a_1,b_1)$, $R(a_2,b_2)$的直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -87855,7 +88140,11 @@
     "003362": {
         "id": "003362",
         "content": "直线$bx+ay=ab$($a<0,\\ b<0$)的倾斜角为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0705004X",
+            "K0701001X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -87877,7 +88166,10 @@
     "003363": {
         "id": "003363",
         "content": "过原点、且倾斜角为直线$y=\\dfrac 12x-3$的倾斜角两倍的直线方程为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -87899,7 +88191,9 @@
     "003364": {
         "id": "003364",
         "content": "$f(x)=a\\sin x-b\\cos x$($ab\\ne 0$)的一条对称轴方程是$x=\\dfrac{\\pi}4$, 则直线$ax-by+c=0$的倾斜角为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -87921,7 +88215,10 @@
     "003365": {
         "id": "003365",
         "content": "若$\\triangle ABC$顶点的坐标分别为$A(2,3)$, $B(-1,4)$, $C(0,-3)$, 则$BC$边上的高所在的直线的方程是\\blank{50}, $BC$边的中线所在的直线的方程是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0705003X",
+            "K0703001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -87943,7 +88240,9 @@
     "003366": {
         "id": "003366",
         "content": "(1) 已知直线$l_1:(a+3)x+(2a+5)y-3=0$和$l_2:(1-2a)x+(a-3)y+4=0$, 若$l_1$的方向向量是$l_2$的法向量, 则$a$的值为\\blank{50};\\\\\n(2)若直线$l_1:mx+2y+6=0$和直线$l_2:x+(m-1)y+m^2-1=0$平行, 则实数$m$的值为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -87965,7 +88264,11 @@
     "003367": {
         "id": "003367",
         "content": "已知直线$l:5x+2y+3=0$.\\\\\n(1) 直线$l_1:3x+7y-13=0$与$l$所成的角的大小为\\blank{50};\\\\\n(2) 若$l_2$经过点$P(2,1)$、且与$l$的夹角等于$\\dfrac{\\pi}4$, 则直线$l_2$的方程为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0707004X",
+            "K0707001X",
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -87987,7 +88290,10 @@
     "003368": {
         "id": "003368",
         "content": "过点$P(1,2)$作直线$l$, 使它到两点$A(2,3)$、$B(4,-5)$的距离相等, 则直线$l$的方程为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0702003X",
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -88009,7 +88315,13 @@
     "003369": {
         "id": "003369",
         "content": "(1) 点$P(-2,-1)$关于直线$l:x+2y-2=0$的对称点$Q$的坐标为\\blank{50};\\\\\n(2) 直线$l_1:y=2x+3$关于直线$l:y=x+1$对称的直线$l_2$的方程为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0707001X",
+            "K0707004X",
+            "K0702002X",
+            "K0702003X",
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -88031,7 +88343,10 @@
     "003370": {
         "id": "003370",
         "content": "直线$l$过点$M(-1,2)$且与以$A(-2,-3)$、$B(3,0)$为端点的线段(含端点)有公共点.\\\\\n(1) 求直线$l$的倾斜角$\\alpha$的取值范围;\\\\\n(2) 若直线$l$的斜率存在, 求其斜率$k$的取值范围.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -88074,7 +88389,10 @@
     "003372": {
         "id": "003372",
         "content": "(1) 求过点$P(1,2)$且在两坐标轴上截距相等的直线方程;\\\\\n(2) 求过点$P(1,2)$并且在两坐标轴上的截距的绝对值相等的直线方程;\\\\\n(3) 直线过点$P(1,2)$分别与$x$轴和$y$轴的正半轴交于$A$、$B$两点, 求使$\\triangle OAB$面积最小的直线方程.",
-        "objs": [],
+        "objs": [
+            "K0702001X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -88096,7 +88414,10 @@
     "003373": {
         "id": "003373",
         "content": "直线$x-y\\cos \\theta +1=0$的倾斜角$\\alpha$的范围是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701002X",
+            "K0701001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -88118,7 +88439,13 @@
     "003374": {
         "id": "003374",
         "content": "写出满足下列条件的直线方程:\\\\\n(1) 过点$(1,-1)$, 且倾斜角为$\\alpha=\\pi-\\arctan\\dfrac 12$:\\blank{50};\\\\\n(2) 过点$(2,3)$与$(-1,-2)$:\\blank{50};\\\\\n(3) 过点$(2,3)$、方向向量为$\\overrightarrow d=(4,7)$的直线方程是\\blank{50};\\\\\n(4) 过点$(2,3)$、法向量$\\overrightarrow{n}=(8,9)$的直线方程是\\blank{50};\\\\\n(5) 已知直线$l$过直线$l_1:3x-5y-10=0$和$l_2:x+y+1=0$的交点, 且平行于$l_3:x+2y-5=0$, 则直线$l$的方程为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701002X",
+            "K0702003X",
+            "K0703002X",
+            "K0705002X",
+            "K0706003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -88140,7 +88467,9 @@
     "003375": {
         "id": "003375",
         "content": "已知两直线$l_1:x+m^2y+6=0$与$l_2:(m-2)x+3my+2m=0$. 若$l_1$、$l_2$相交, 则$m$的取值范围为\\blank{50}; 若$l_1$、$l_2$平行, 则$m$的值为\\blank{50}; 若$l_1$、$l_2$重合, 则$m$的值为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -88162,7 +88491,12 @@
     "003376": {
         "id": "003376",
         "content": "(1) 点$P(-1,-1)$到直线$l:2x-3y-11=0$的距离$d$的值是\\blank{50};\\\\\n(2) 直线$x=3$与直线$2x-y+3=0$的夹角是\\blank{50};\\\\\n(3) 直线$l$过点$P(-4,1)$, 且与直线$m:3x-y+1=0$的夹角大小为$\\arccos\\dfrac{3\\sqrt{10}}{10}$, 则$l$的方程是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0707004X",
+            "K0708001X",
+            "K0702003X",
+            "K0702002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -88184,7 +88518,13 @@
     "003377": {
         "id": "003377",
         "content": "(1) 点$P(-2,-1)$关于直线$x+y-2=0$的对称点的坐标是\\blank{50};\\\\\n(2) 直线$l:x+2y-11=0$关于点$(-1,1)$对称的直线方程是\\blank{50};\\\\\n(3) 直线$m:3x-2y-6=0$关于直线$l:2x-3y+1=0$对称的直线方程是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0707001X",
+            "K0703002X",
+            "K0702002X",
+            "K0702003X",
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -88206,7 +88546,9 @@
     "003378": {
         "id": "003378",
         "content": "将直线$l_1:nx+y-n=0$、$l_2:x+ny-n=0$($n\\in \\mathbf{N}^*$)、$x$轴、$y$轴围成的封闭区域的面积记为$S_n$, 则$\\displaystyle\\lim_{n\\to \\infty}S_n=$\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -88253,7 +88595,9 @@
     "003380": {
         "id": "003380",
         "content": "如图, 用$35$个单位正方形拼成一个矩形, 点$P_1$、$P_2$、$P_3$、$P_4$以及四个标记为``\\begin{tikzpicture} \\filldraw ({-0.0625*sqrt(3)},-0.0625) -- ({0.0625*sqrt(3)},-0.0625) -- (0,0.125) -- cycle; \\end{tikzpicture}''的点在正方形的顶点处, 设集合$\\Omega =\\{P_1,P_2,P_3,P_4\\}$, 点$P\\in \\Omega$, 过$P$作直线$l_P$, 使得不在$l_P$上的``\\begin{tikzpicture} \\filldraw ({-0.0625*sqrt(3)},-0.0625) -- ({0.0625*sqrt(3)},-0.0625) -- (0,0.125) -- cycle; \\end{tikzpicture}''的点分布在$l_P$的两侧. 用$D_1(l_P)$和$D_2(l_P)$分别表示$l_P$一侧和另一侧的``\\begin{tikzpicture} \\filldraw ({-0.0625*sqrt(3)},-0.0625) -- ({0.0625*sqrt(3)},-0.0625) -- (0,0.125) -- cycle; \\end{tikzpicture}''的点到$l_P$的距离之和. 若过$P$的直线$l_P$中有且只有一条满足$D_1(l_P)=D_2(l_P)$, 则$\\Omega$中所有这样的$P$为\\blank{50}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, line cap = round, line join = round]\n    \\foreach \\i in {0,1,...,7}\n        \\draw (\\i,0) -- (\\i,5);\n    \\foreach \\i in {0,1,...,5}\n        \\draw (0,\\i) -- (7,\\i);\n    \\filldraw (0,4) circle (0.05) node [left] {$P_1$};\n    \\filldraw (3,2) circle (0.05) node [below left] {$P_2$};\n    \\filldraw (4,2) circle (0.05) node [below right] {$P_3$};\n    \\filldraw (6,5) circle (0.05) node [above] {$P_4$};\n    \\filldraw (1,0) ++ (210:0.1) --++ ({0.1*sqrt(3)},0) --++ (120:{0.1*sqrt(3)}) -- cycle;\n    \\filldraw (0,3) ++ (210:0.1) --++ ({0.1*sqrt(3)},0) --++ (120:{0.1*sqrt(3)}) -- cycle;\n    \\filldraw (4,4) ++ (210:0.1) --++ ({0.1*sqrt(3)},0) --++ (120:{0.1*sqrt(3)}) -- cycle;\n    \\filldraw (7,1) ++ (210:0.1) --++ ({0.1*sqrt(3)},0) --++ (120:{0.1*sqrt(3)}) -- cycle;\n\\end{tikzpicture}\n\\end{center}",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -88436,7 +88780,9 @@
     "003388": {
         "id": "003388",
         "content": "设$f(x,y)=ax+by+c$, 其中$a,b$不全为零. 给定直线$l:f(x,y)=0$及其外一点$P(x_0,y_0)$, 直线$m:f(x,y)-f(x_0,y_0)=0$, 则\\bracket{20}\n\\twoch{点$P$在直线$m$上, 直线$m$与$l$平行}{点$P$在直线$m$上, 直线$m$与$l$不平行}{点$P$在直线$m$外, 直线$m$与$l$平行}{点$P$在直线$m$外, 直线$m$与$l$不平行}",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -94610,7 +94956,9 @@
     "003643": {
         "id": "003643",
         "content": "已知直线$l$的方程为$2x-y+c=0$, 则$l$的一个方向向量$\\overrightarrow{d}$可以是\\bracket{15}.\n\\fourch{$(2,-1)$}{$(2,1)$}{$(-1,2)$}{$(1,2)$}",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -95645,7 +95993,9 @@
     "003684": {
         "id": "003684",
         "content": "如图, 用$35$个单位正方形拼成一个矩形, 点$P_1,P_2,P_3,P_4$以及四个标记为``\\begin{tikzpicture}\n\\filldraw ({-0.0625*sqrt(3)},-0.0625) -- ({0.0625*sqrt(3)},-0.0625) -- (0,0.125) -- cycle;\n\\end{tikzpicture}''的点在正方形的顶点处, 设集合$\\Omega=\\{P_1,P_2,P_3,P_4\\}$, 点$P\\in \\Omega$. 过$P$作直线$l_P$, 使得不在$l_P$上的``\\begin{tikzpicture}\n\\filldraw ({-0.0625*sqrt(3)},-0.0625) -- ({0.0625*sqrt(3)},-0.0625) -- (0,0.125) -- cycle;\n\\end{tikzpicture}''的点分布在$l_P$的两侧. 用$D_1(l_P)$和$D_2(l_P)$分别表示$l_P$一侧和另一侧的``\\begin{tikzpicture}\n\\filldraw ({-0.0625*sqrt(3)},-0.0625) -- ({0.0625*sqrt(3)},-0.0625) -- (0,0.125) -- cycle;\n\\end{tikzpicture}''的点到$l_P$的距离之和. 若过$P$的直线$l_P$中有且只有一条满足$D_1(l_P)=D_2(l_P)$, 则$\\Omega$中所有这样的$P$为\\blank{50}.\n\\begin{center}\n\\begin{tikzpicture}\n\\foreach \\i in {0,1,2,3,4,5,6,7}{\\draw (\\i,0) -- (\\i,5);};\n\\foreach \\i in {0,1,2,3,4,5}{\\draw (0,\\i) -- (7,\\i);};\n\\filldraw  (1,0) ++ ({-0.0625*sqrt(3)},-0.0625) coordinate(P) --++ ({2*0.0625*sqrt(3)},0) --++ ({-0.0625*sqrt(3)},{3*0.0625}) -- (P);\n\\filldraw  (7,1) ++ ({-0.0625*sqrt(3)},-0.0625) coordinate(P) --++ ({2*0.0625*sqrt(3)},0) --++ ({-0.0625*sqrt(3)},{3*0.0625}) -- (P);\n\\filldraw  (0,3) ++ ({-0.0625*sqrt(3)},-0.0625) coordinate(P) --++ ({2*0.0625*sqrt(3)},0) --++ ({-0.0625*sqrt(3)},{3*0.0625}) -- (P);\n\\filldraw  (4,4) ++ ({-0.0625*sqrt(3)},-0.0625) coordinate(P) --++ ({2*0.0625*sqrt(3)},0) --++ ({-0.0625*sqrt(3)},{3*0.0625}) -- (P);\n\\filldraw (0,4) circle (0.05) node [left] {$P_1$};\n\\filldraw (3,2) circle (0.05) node [below left] {$P_2$};\n\\filldraw (4,2) circle (0.05) node [below right] {$P_3$};\n\\filldraw (6,5) circle (0.05) node [above] {$P_4$};\n\\end{tikzpicture}\n\\end{center}",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -97312,7 +97662,10 @@
     "003755": {
         "id": "003755",
         "content": "过点$(1,0)$且与直线$x-2y-2=0$的法向量垂直的直线方程是\\bracket{20}.\n\\twoch{$x-2y+1=0$}{$2x+y-2=0$}{$x+2y-1=0$}{$x-2y-1=0$}",
-        "objs": [],
+        "objs": [
+            "K0706002X",
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -108419,7 +108772,9 @@
     "004213": {
         "id": "004213",
         "content": "平面上整点(横、纵坐标都为整数的点)到直线$y=\\dfrac 53x+\\dfrac 45$的距离的最小值是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -109503,7 +109858,9 @@
     "004254": {
         "id": "004254",
         "content": "已知$m\\in \\mathbf{R}$, 若直线$l_1:mx+y+1=0$与直线$l_2:9x+my+2m+3=0$平行, 则$m=$\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -110191,7 +110548,9 @@
     "004281": {
         "id": "004281",
         "content": "若$O$为坐标原点, $P$是直线$x-y+2=0$上的动点, 则$|OP|$的最小值为\\bracket{20}.\n\\fourch{$\\dfrac{\\sqrt{2}}2$}{$\\sqrt{2}$}{$\\sqrt{3}$}{$2$}",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -110672,7 +111031,10 @@
     "004299": {
         "id": "004299",
         "content": "平面上三条直线$x-2y+1=0$, $x-1=0$, $x+ky=0$, 如果这三条直线将平面划分为六个部分, 则实数$k$的取值组成的集合$A=$\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706002X",
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -117061,7 +117423,9 @@
     "004538": {
         "id": "004538",
         "content": "已知$l_1,l_2$是分别经过点$A(2,1)$和$B(0,2)$两点的两条平行直线, 当$l_1,l_2$之间的距离最大时, 直线$l_1$的方程是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -119369,7 +119733,9 @@
     "004628": {
         "id": "004628",
         "content": "过点$P(2,3)$的直线$l$分别交$x$轴、$y$轴的正半轴于$A$、$B$两点, 则当$|PA|\\cdot|PB|$取到最小值时, $l$的方程为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -121408,7 +121774,9 @@
     "004705": {
         "id": "004705",
         "content": "若直线$l_1:2x+my+1=0$与$l_2:y=3x-1$垂直, 则实数$m=$\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214727,7 +215095,9 @@
     "008748": {
         "id": "008748",
         "content": "写出下列直线的一个方向向量$\\overrightarrow d$.\\\\\n(1) $2x-3y+1=0$;\\\\ \n(2) $3x+1=0$;\\\\\n(3) $4-2y=0$.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214749,7 +215119,9 @@
     "008749": {
         "id": "008749",
         "content": "求过点$P$且与$\\overrightarrow d$平行的直线$l$的点方向式方程.\\\\\n(1) $P(0,0)$, $\\overrightarrow d=(1,1)$;\\\\\n(2) $P(-2,3)$, $\\overrightarrow d=(-2,3)$.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214771,7 +215143,9 @@
     "008750": {
         "id": "008750",
         "content": "求经过$AB$两点的直线$l$的点方向式方程.\\\\\n(1) $A(3,5)$, $B(1,0)$;\\\\ \n(2) $A(2,2)$, $B(5,5)$.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214793,7 +215167,9 @@
     "008751": {
         "id": "008751",
         "content": "已知平行四边形$ABCD$的三个顶点的坐标分别为$A(1,2)$、$B(3,4)$、$C(2,6)$, 求四条边$AB,BC,CD$和$DA$所在直线的点方向式方程.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214817,7 +215193,9 @@
     "008752": {
         "id": "008752",
         "content": "求下列直线的一个法向量$\\overrightarrow n$.\\\\\n(1) $2x-3y+1=0$;\\\\\n(2) $\\dfrac x2+\\dfrac y5=1$.",
-        "objs": [],
+        "objs": [
+            "K0705001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214839,7 +215217,9 @@
     "008753": {
         "id": "008753",
         "content": "求经过点$P$且垂直于向量$\\overrightarrow n$的直线的点法向式方程.\\\\\n(1) $P(0,0)$, $\\overrightarrow n=(1,1)$;\\\\\n(2) $P(5,2)$, $\\overrightarrow n=(0,2)$.",
-        "objs": [],
+        "objs": [
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214861,7 +215241,9 @@
     "008754": {
         "id": "008754",
         "content": "已知直线$\\dfrac{x-2}3=\\dfrac{y+1}2$的一个法向量为$\\overrightarrow n=(a,a-2)$, 求实数$a$的值.",
-        "objs": [],
+        "objs": [
+            "K0705001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214883,7 +215265,10 @@
     "008755": {
         "id": "008755",
         "content": "已知$\\triangle ABC$的三个顶点的坐标分别为$A(3,8)$、$B(3,-2)$、$C(-3,0)$.\\\\\n(1) 求$BC$边所在直线的方程;\\\\\n(2) 求$AB$边上中线$CM$所在直线的方程;\\\\\n(3) 求$BC$边上高$AD$所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X",
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214907,7 +215292,9 @@
     "008756": {
         "id": "008756",
         "content": "已知四边形$ABCD$是平行四边形, $AB$边所在直线的方程是$x+y-1=0$, $AD$边所在直线的方程是$3x-y+4=0$, 顶点$C$的坐标是$(3,3)$, 求这个平行四边形其他两条边所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214929,7 +215316,9 @@
     "008757": {
         "id": "008757",
         "content": "已知$\\triangle ABC$的两个顶点的坐标分别是$A(-2,1)$、$B(4,-3)$, 且$\\triangle ABC$的垂心坐标为$H(0,2)$, 分别求$BC,AC$边所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214953,7 +215342,9 @@
     "008758": {
         "id": "008758",
         "content": "已知$\\triangle ABC$的三个顶点的坐标分别为$A(2,1)$、$B(0,7)$、$C(-4,-1)$.\\\\\n(1) 求此三角形的三边所在直线的方程;\\\\\n(2) 求此三角形的三条中线所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214975,7 +215366,9 @@
     "008759": {
         "id": "008759",
         "content": "已知$\\triangle ABC$的三个顶点的坐标分别$A(4,0)$、$B(6,7)$、$C(0,3)$, 求此三角形的三条高所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -214997,7 +215390,9 @@
     "008760": {
         "id": "008760",
         "content": "已知梯形$ABCD$的三个顶点的坐标分别为$A(2,3)$、$B(-2,1)$、$C(4,5)$, 求此梯形中位线所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215021,7 +215416,10 @@
     "008761": {
         "id": "008761",
         "content": "已知$A(1,-1)$、$B(3,3)$两点, 点$C(5,a)$在直线$AB$上, 求实数$a$的值.",
-        "objs": [],
+        "objs": [
+            "K0703002X",
+            "K0702005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215043,7 +215441,9 @@
     "008762": {
         "id": "008762",
         "content": "填空:\n方程$\\begin{vmatrix} x+1 & y-1  \\\\4 & 1  \\end{vmatrix}=0$所表示的直线的一个法向量是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215065,7 +215465,9 @@
     "008763": {
         "id": "008763",
         "content": "已知原点$O$在直线$l$上的射影为$H(-2,1)$, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215110,7 +215512,9 @@
     "008765": {
         "id": "008765",
         "content": "已知$\\triangle ABC$的两个顶点的坐标分别是$A(2,2)$、$B(3,0)$, 此三角形的重心坐标为$(3,1)$.\\\\\n(1) 求此三角形的三边所在直线的方程;\\\\\n(2) 求此三角形的三条中线所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215132,7 +215536,10 @@
     "008766": {
         "id": "008766",
         "content": "已知$a,b,c$是互不相等的正实数, 求经过下列两点的直线的倾斜角:\\\\\n(1) $A(a,c),B(b,c)$;\\\\\n(2) $C(a,\\sqrt {a^2+b^2}),D(a,\\sqrt {b^2+c^2})$;\\\\\n(3) $E(b,b+c),F(a,a+c)$;\\\\\n(4) $G(b,a^2),H(a,b^2)$.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215154,7 +215561,9 @@
     "008767": {
         "id": "008767",
         "content": "已知斜率为$3$的直线过点$(1,1)$和$(x,-2)$, 求实数$x$的值.",
-        "objs": [],
+        "objs": [
+            "K0701003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215176,7 +215585,9 @@
     "008768": {
         "id": "008768",
         "content": "求下列方程所表示的直线的斜率:\\\\\n(1) $x+5=0$;\\\\\n(2) $2y+3=0$;\\\\\n(3) $\\dfrac{x-3}3=\\dfrac{y+1}{-4}$;\\\\\n(4) $5x+6y+3=0$.",
-        "objs": [],
+        "objs": [
+            "K0701004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215198,7 +215609,10 @@
     "008769": {
         "id": "008769",
         "content": "已知直线$l$的倾斜角为$\\alpha$, 且这条直线经过点$P(3,5)$, 求直线$l$的方程.\\\\\n(1) $\\alpha =\\dfrac{\\pi }4$;\\\\ \n(2) $\\alpha =0$;\\\\\n(3) $\\alpha =\\dfrac{\\pi}2$.",
-        "objs": [],
+        "objs": [
+            "K0701002X",
+            "K0702004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215220,7 +215634,10 @@
     "008770": {
         "id": "008770",
         "content": "写出经过下列两点的直线的点斜式方程.\\\\\n(1) $A(-3,0),B(2,-2)$;\\\\ \n(2) $P(2,-2),Q(0,1)$.",
-        "objs": [],
+        "objs": [
+            "K0701003X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215242,7 +215659,11 @@
     "008771": {
         "id": "008771",
         "content": "求过点$(\\sqrt 3,\\sqrt 5)$, 倾斜角等于直线$y=\\sqrt 3x+1$的倾斜角的一半的直线方程.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701002X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215264,7 +215685,11 @@
     "008772": {
         "id": "008772",
         "content": "已知直线$l$的倾斜角为$\\alpha$, $\\sin \\alpha =\\dfrac 35$, 且这条直线经过点$P(3,5)$, 求直线$l$的一般式方程.",
-        "objs": [],
+        "objs": [
+            "K0701002X",
+            "K0702003X",
+            "K0704002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215286,7 +215711,9 @@
     "008773": {
         "id": "008773",
         "content": "已知矩形$OACB$的顶点的坐标分别为$O(0,0)$、$A(8,0)$、$B(0,5)$, 求该矩形的对角线所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215308,7 +215735,9 @@
     "008774": {
         "id": "008774",
         "content": "已知直线$2x-3y+6=0$, 这条直线的点方向式方程可以是\\bracket{20}.\n\\fourch{$\\dfrac{x-3}2=\\dfrac{y-4}3$}{$\\dfrac x{-2}=\\dfrac{y-2}3$}{$\\dfrac{x+3}3=\\dfrac y2$}{$\\dfrac{x+3}2=\\dfrac y3$}",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215330,7 +215759,10 @@
     "008775": {
         "id": "008775",
         "content": "求过点$P$且平行于直线$l_0$的直线的一般式方程.\\\\\n(1) $P(2,1)$, $l_0:x+4=0$;\\\\ \n(2) $P(1,2)$, $l_0:\\dfrac x3+\\dfrac y4+\\dfrac 17=0$.",
-        "objs": [],
+        "objs": [
+            "K0706003X",
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215352,7 +215784,10 @@
     "008776": {
         "id": "008776",
         "content": "求过点$P$且垂直于直线$l_0$的直线的一般式方程.\\\\\n(1) $P(2,1)$, $l_0:y-3=0$;\\\\ \n(2) $P(-2,-1)$, $l_0:\\dfrac{x-1}3=\\dfrac{y+2}4$.",
-        "objs": [],
+        "objs": [
+            "K0707001X",
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215374,7 +215809,11 @@
     "008777": {
         "id": "008777",
         "content": "分别根据下列条件, 求相应直线$l$的方程.\\\\\n(1) 直线$l$经过$A(2,0)$、$B(3,7)$两点;\\\\\n(2) 直线$l$经过点$P(3,4)$, 且与向量$\\overrightarrow d=(1,-1)$平行;\\\\\n(3) 直线$l$与$x$轴交于点$A(3,0)$, 与$y$轴交于点$B(0,-1)$;\\\\\n(4) 直线$l$经过点$P(3,2)$, 且与向量$\\overrightarrow n=(8,-4)$垂直.",
-        "objs": [],
+        "objs": [
+            "K0703002X",
+            "K0702003X",
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215396,7 +215835,10 @@
     "008778": {
         "id": "008778",
         "content": "选择题:\n直线$x-ay+2=0(a<0)$的倾斜角是\\bracket{20}.\n\\fourch{$\\arctan \\dfrac 1a$}{$-\\arctan \\dfrac 1a$}{$\\pi -\\arctan \\dfrac 1a$}{$\\pi +\\arctan \\dfrac 1a$}",
-        "objs": [],
+        "objs": [
+            "K0701004X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215418,7 +215860,9 @@
     "008779": {
         "id": "008779",
         "content": "当$\\theta \\in [-\\dfrac{\\pi }2,0)$时, 求经过$P(0,0)$、$Q(\\cos \\theta ,\\sin \\theta)$两点的直线的斜率.",
-        "objs": [],
+        "objs": [
+            "K0701004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215440,7 +215884,9 @@
     "008780": {
         "id": "008780",
         "content": "已知$\\triangle ABC$的顶点坐标分别为$A(-3,0)$、$B(1,2)$、$C(3,9)$, 直线$l$过顶点$C$, 且把$\\triangle ABC$分为面积相等的两部分, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215462,7 +215908,11 @@
     "008781": {
         "id": "008781",
         "content": "已知直线$l$经过点$A(3,4)$, 它的倾斜角是直线$2x-y+1=0$的倾斜角的$2$倍, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701002X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215505,7 +215955,10 @@
     "008783": {
         "id": "008783",
         "content": "一根金属棒在$30^\\circ\\text{C}$时长$14.205$米, 在$60^\\circ\\text{C}$时长$14.211$米.已知长度$y$(米)和温度$x$($^\\circ\\text{C}$)的关系可以用直线方程来表示, 试写出这条直线的方程, 并求$80^\\circ\\text{C}$时这根金属棒的长度.",
-        "objs": [],
+        "objs": [
+            "K0703002X",
+            "K0702005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215527,7 +215980,9 @@
     "008784": {
         "id": "008784",
         "content": "判断下列各组直线的位置关系:\\\\\n(1) $l_1$: $2x-3y-1=0$, $l_2$: $4x-6y-2=0$;\\\\\n(2) $l_1$: $\\dfrac x3-\\dfrac{12}5y+1=0$, $l_2$: $36x+5y-1=0$;\\\\\n(3) $l_1$: $y=\\dfrac 13(x-6)$, $l_2$: $3x+y-3=0$;\\\\\n(4) $l_1$: $(\\sqrt 5+1)x-2y+1=0$, $l_2$: $2x-(\\sqrt 5-1)y-1=0$.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215549,7 +216004,10 @@
     "008785": {
         "id": "008785",
         "content": "已知直线$l_1$: $6x+(t-1)y-8=0$与直线$l_2$: $(t+4)x+(t+6)y-16=0$.\\\\\n(1) 当$t$为何值时, $l_1$与$l_2$相交?\\\\\n(2) 当$t$为何值时, $l_1$与$l_2$平行?\\\\\n(3) 当$t$为何值时, $l_1$与$l_2$重合?\\\\\n(4) 当$t$为何值时, $l_1$与$l_2$垂直?",
-        "objs": [],
+        "objs": [
+            "K0706002X",
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215571,7 +216029,11 @@
     "008786": {
         "id": "008786",
         "content": "已知直线$l_1$: $mx+8y+n=0$与直线$l_2$: $2x+my-1=0$.当直线$l_1$与直线$l_2$分别满足下列条件时, 求实数$mn$的值.\\\\\n(1) 直线$l_1$与直线$l_2$平行;\\\\\n(2) 直线$l_1$与直线$l_2$垂直, 且直线$l_1$在$y$轴上的截距为$-1$.",
-        "objs": [],
+        "objs": [
+            "K0706002X",
+            "K0707001X",
+            "K0702001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215593,7 +216055,13 @@
     "008787": {
         "id": "008787",
         "content": "根据下列条件, 写出满足条件的直线的一般式方程.\\\\\n(1) 经过直线$2x-y+1=0$与直线$2x+2y-1=0$的交点, 且与直线$5x-y=0$垂直;\\\\\n(2) 经过直线$x-y+1=0$与直线$2x-y+2=0$的交点, 且与直线$3x+4y=12$平行.",
-        "objs": [],
+        "objs": [
+            "K0702003X",
+            "K0707002X",
+            "K0706001X",
+            "K0705002X",
+            "K0704002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215615,7 +216083,9 @@
     "008788": {
         "id": "008788",
         "content": "已知直线$l_1$: $y=kx+k+2$与直线$l_2$: $y=-2x+4$的交点在第一象限, 求实数$k$的范围.",
-        "objs": [],
+        "objs": [
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215658,7 +216128,9 @@
     "008790": {
         "id": "008790",
         "content": "是否存在实数$a$, 使直线$l_1$: $(a-1)x+(a-2)y-1=0$与直线$l_2$: $6x+(2a-3)y-3=0$平行? 若存在, 求$a$的值; 若不存在, 请说明理由.",
-        "objs": [],
+        "objs": [
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215680,7 +216152,9 @@
     "008791": {
         "id": "008791",
         "content": "若直线$mx-2y=1$与直线$6x-4y+n=0$重合, 求实数$m,n$的值.",
-        "objs": [],
+        "objs": [
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215704,7 +216178,9 @@
     "008792": {
         "id": "008792",
         "content": "若直线$(2a^2-7a+3)x+(a^2-9)y+3=0$与$x$轴平行, 求实数$a$的值.",
-        "objs": [],
+        "objs": [
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215726,7 +216202,9 @@
     "008793": {
         "id": "008793",
         "content": "求下列两组直线的夹角:\\\\\n(1) $l_1$: $\\sqrt 3x-y=0$, $l_2$: $x-\\sqrt 3y+2=0$;\\\\\n(2) $l_1$: $x-1=0$, $l_2$: $x+y-5=0$.",
-        "objs": [],
+        "objs": [
+            "K0707004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215748,7 +216226,9 @@
     "008794": {
         "id": "008794",
         "content": "已知直线$\\sqrt 3x+y=0$与直线$kx-y+1=0$的夹角为$60^{\\circ }$, 求实数$k$的值.",
-        "objs": [],
+        "objs": [
+            "K0707005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215770,7 +216250,11 @@
     "008795": {
         "id": "008795",
         "content": "已知等腰直角三角形$ABC$的斜边$AB$所在直线的方程为$3x-y-5=0$, 直角顶点为$C(4,-1)$, 求两条直角边所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0707005X",
+            "K0702003X",
+            "K0702002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215794,7 +216278,9 @@
     "008796": {
         "id": "008796",
         "content": "判断直线$l_1$与直线$l_2$的位置关系.\\\\\n(1) $l_1$: $2x-3=0$, $l_2$: $ax+y-1=0$, 其中$a\\in \\mathbf{R}$;\\\\\n(2) $l_1$: $(a^2+1)x+y-1=0$, $l_2$: $(2a^2+3)x+y+a=0$, 其中$a\\in \\mathbf{R}$.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215816,7 +216302,11 @@
     "008797": {
         "id": "008797",
         "content": "已知直线$y=ax+b$的倾斜角为$\\dfrac{3\\pi }4$, 且这条直线与直线$5x+3y-31=0$的交点在第一象限内, 求实数$b$的取值范围.",
-        "objs": [],
+        "objs": [
+            "K0701002X",
+            "K0701004X",
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215838,7 +216328,9 @@
     "008798": {
         "id": "008798",
         "content": "已知直线$l_1$: $ax+by+4=0$, 直线$l_2$: $(1-a)x-y-b=0$, 直线$l_3$: $x+2y+3=0$, 且这三条直线两两平行, 求实数$ab$的值.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215860,7 +216352,11 @@
     "008799": {
         "id": "008799",
         "content": "已知等腰直角三角形$ABC$的直角边$BC$所在直线的方程为: $x-2y-6=0$, 顶点$A$的坐标为$(0,6)$, 求斜边$AB$和直角边$AC$所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0707002X",
+            "K0707005X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215884,7 +216380,10 @@
     "008800": {
         "id": "008800",
         "content": "已知直线$l_1$: $a_1x+b_1y+c_1=0$(实数$a_1,b_1$不同时为零), 直线$l_2$: $a_2x+b_2y+c_2=0$(实数$a_2,b_2$不同时为零), 用$l_1$与$l_2$的法向量求这两条直线的夹角.",
-        "objs": [],
+        "objs": [
+            "K0707004X",
+            "K0707003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215906,7 +216405,9 @@
     "008801": {
         "id": "008801",
         "content": "求点$P(3,2)$到直线$l$: $3x-2y=13$的距离.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215928,7 +216429,9 @@
     "008802": {
         "id": "008802",
         "content": "已知$P(0,0)$、$Q(3,2)$两点, 试判断$P,Q$是否在下列直线的同一侧.\\\\\n(1) $2x+3y=4$;\\\\ \n(2) $x+3y+4=0$;\\\\\n(3) $2x-3y=4$;\\\\ \n(4) $-2x-3y+3=0$.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215950,7 +216453,9 @@
     "008803": {
         "id": "008803",
         "content": "已知直线$l_1$: $2x-y+a=0$与直线$l_2$: $-4x+2y+1=0$, 且直线$l_1$与直线$l_2$的距离为$\\dfrac{7\\sqrt 5}{10}$, 求实数$a$的值.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215974,7 +216479,9 @@
     "008804": {
         "id": "008804",
         "content": "已知点$P$为直线$3x-4y+2=0$上的任意一个动点, 求点$P$到点$A(3,-1)$的距离的最小值.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -215996,7 +216503,10 @@
     "008805": {
         "id": "008805",
         "content": "已知$A(2,3)$、$B(-4,8)$两点, 直线$l$经过原点, 且$AB$两点到直线$l$的距离相等, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0702002X",
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216018,7 +216528,10 @@
     "008806": {
         "id": "008806",
         "content": "已知平行直线$l_1$与$l_2$的距离为$\\sqrt 5$, 且直线$l_1$经过原点, 直线$l_2$经过点$(1,3)$, 求直线$l_1$和直线$l_2$的方程.",
-        "objs": [],
+        "objs": [
+            "K0702002X",
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216040,7 +216553,11 @@
     "008807": {
         "id": "008807",
         "content": "已知直线$l$过点$P(0,1)$, 且被平行直线$l_1$: $3x+4y-8=0$与$l_2$: $3x+4y+2=0$所截得的线段的长为$2\\sqrt 2$, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0708003X",
+            "K0707005X",
+            "K0702002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216062,7 +216579,9 @@
     "008808": {
         "id": "008808",
         "content": "求与直线$x-2y+1=0$和$2x-y+3=0$距离相等的点的轨迹.",
-        "objs": [],
+        "objs": [
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216084,7 +216603,11 @@
     "008809": {
         "id": "008809",
         "content": "已知正方形$ABCD$的中心的坐标为点$P(1,1)$, $AB$边所在直线的方程为$x+2y+3=0$.求这个正方形的其他三边所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0708003X",
+            "K0707001X",
+            "K0704002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216106,7 +216629,9 @@
     "008810": {
         "id": "008810",
         "content": "求原点$O$到直线$x\\cos \\theta +y\\sin \\theta +2=0$, $\\theta \\in \\mathbf{R}$的距离.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216128,7 +216653,10 @@
     "008811": {
         "id": "008811",
         "content": "已知直线$l$过点$(2,4)$, 且它被平行直线$l_1$: $x-y+1=0$与直线$l_2$: $x-y-2=0$所截得的线段的中点在直线$l_3$: $x+2y-3=0$上, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0706001X",
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216150,7 +216678,10 @@
     "008812": {
         "id": "008812",
         "content": "已知$P_1(1,0)$、$P_{2}(7,-8)$两点分别在直线$l$的两侧, 且$P_1,P_2$到直线$l$的距离均为$4$, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0702002X",
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216174,7 +216705,9 @@
     "008813": {
         "id": "008813",
         "content": "若直线$l$过点$P(0,2)$, 它的一个方向向量为$(1,1)$, 则直线$l$的方程是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216196,7 +216729,9 @@
     "008814": {
         "id": "008814",
         "content": "若直线$l$过点$(3,1)$, 且$l$的法向量$\\overrightarrow n=(1,3)$, 则直线$l$的方程为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216218,7 +216753,9 @@
     "008815": {
         "id": "008815",
         "content": "经过点$P(x_0,y_0)$, 且与向量$\\overrightarrow d=(u,v)$平行的直线方程是\\bracket{20}.\n\\fourch{$\\dfrac{x-x_0}u=\\dfrac{y-y_0}v$}{$\\dfrac{x-{x_0}}{y-{y_0}}=\\dfrac uv$}{$y-y_0=\\dfrac vu(x-x_0)$}{$u(y-y_0)=v(x-x_0)$}",
-        "objs": [],
+        "objs": [
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216240,7 +216777,9 @@
     "008816": {
         "id": "008816",
         "content": "若直线$x=1$的倾斜角为$\\theta$, 则$\\theta$等于\\bracket{20}.\n\\fourch{$0$}{$\\dfrac{\\pi }4$}{$\\dfrac{\\pi }2$}{不存在}",
-        "objs": [],
+        "objs": [
+            "K0701001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216262,7 +216801,9 @@
     "008817": {
         "id": "008817",
         "content": "如图, 已知矩形$OABC$的顶点$A$的坐标为$(5,2)$, 求直线$AB$的方程.\n\\begin{center}\n    \\begin{tikzpicture}[>=latex, scale = 0.5]\n        \\draw [->] (-2,0) -- (6,0) node [below] {$x$};\n        \\draw [->] (0,-1) -- (0,4) node [left] {$y$};\n        \\draw (0,0) node [below left] {$O$};\n        \\draw (0,0) -- (5,2) node [right] {$A$} --++ (-1,2.5) node [above] {$B$} --++ (-5,-2) node [left] {$C$} -- cycle;\n    \\end{tikzpicture}\n\\end{center}",
-        "objs": [],
+        "objs": [
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216284,7 +216825,9 @@
     "008818": {
         "id": "008818",
         "content": "已知直线$x-ay-4=0$与直线$y=-2x+4$的夹角$\\theta =\\arccos \\dfrac{2\\sqrt 5}5$, 求实数$a$的值.",
-        "objs": [],
+        "objs": [
+            "K0707005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216308,7 +216851,9 @@
     "008819": {
         "id": "008819",
         "content": "已知直线$l$经过点$(5,10)$, 且它与原点的距离为$5$, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0708004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216330,7 +216875,11 @@
     "008820": {
         "id": "008820",
         "content": "已知直线$x-ay=0(a\\ge 0)$, 求这条直线的倾斜角.",
-        "objs": [],
+        "objs": [
+            "K0701004X",
+            "K0701001X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216352,7 +216901,10 @@
     "008821": {
         "id": "008821",
         "content": "是否存在实数$m$, 使直线$l_1$: $(m+3)x+5y=5-3m$与直线$l_2$: $2x+(m+6)y=8$分别相交、平行、重合、垂直? 若存在, 求$m$的值; 若不存在, 请说明理由.",
-        "objs": [],
+        "objs": [
+            "K0706002X",
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216374,7 +216926,10 @@
     "008822": {
         "id": "008822",
         "content": "已知$\\triangle ABC$的$AB,AC$边上的高所在直线的方程分别为$2x-3y+1=0$和$x+y=0$, 点$A$的坐标为$(1,2)$, 求$BC$边所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0706001X",
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216396,7 +216951,10 @@
     "008823": {
         "id": "008823",
         "content": "已知直线$l$垂直于直线$3x+4y-9=0$, 且点$A(2,3)$到直线$l$的距离为$1$, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0707001X",
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216420,7 +216978,9 @@
     "008824": {
         "id": "008824",
         "content": "已知直线$l_1$: $x+a^2y+1=0$的方向向量与直线$l_2$: $(a^2+1)x-by+3=0$的法向量平行, 且$a\\cdot b\\ne 0$, 求$|ab|$的最小值.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216442,7 +217002,9 @@
     "008825": {
         "id": "008825",
         "content": "求证: 三条互不平行的直线$l_1$: $a_1x+b_1y+c_1=0$, 直线$l_2$: $a_2x+b_2y+c_2=0$, 直线$l_3$: $a_3x+b_3y+c_{3}=0$共点的充要条件是$\\begin{vmatrix}\n a_1 & b_1 & c_1  \\\\a_2 & b_2 & c_2  \\\\a_3 & b_3 & c_3  \\end{vmatrix}=0$.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216464,7 +217026,12 @@
     "008826": {
         "id": "008826",
         "content": "求直线$l_1$: $3x-2y-6=0$关于直线$l$: $2x-3y+1=0$对称的直线$l_2$的方程.",
-        "objs": [],
+        "objs": [
+            "K0702002X",
+            "K0706001X",
+            "K0707004X",
+            "K0707005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216488,7 +217055,9 @@
     "008827": {
         "id": "008827",
         "content": "已知两条平行直线分别过点$P(-2,-2)$、$Q(1,3)$, 当这两条直线之间的距离最大时, 求它们的方程.",
-        "objs": [],
+        "objs": [
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216510,7 +217079,9 @@
     "008828": {
         "id": "008828",
         "content": "如图, $\\angle BAC$为伸入江中的半岛, $AB$和$AC$为两江岸, $M$处为水文站, $N$处为电讯局, 现欲在两江岸$AB$和$AC$上各建一个水文观测点$PQ$.现测得$\\angle BAC=45^{\\circ }$, 当直角坐标系以点$A$为坐标原点且以直线$BA$为$x$轴时, 测得$M(-4,1)N(-3,2)$.$PQ$两点应建在何处才能使路程$MPQN$最短?\n\\begin{center}\n    \\begin{tikzpicture}[>=latex]\n        \\draw [->] (-3,0) -- (1,0) node [below] {$x$};\n        \\draw [->] (0,-1) -- (0,3) node [left] {$y$};\n        \\draw (0,0) node [below right] {$(O)$};\n        \\draw (0,0) node [below left] {$A$};\n        \\draw (-2,0.5) node [left] {$M$} (-1.5,1) node [left] {$N$};\n        \\draw (-2.5,2.5) node [left] {$C$} -- (0,0);\n        \\draw (-3,0) node [below] {$B$};\n        \\draw (-1.5,1) -- (-1,1) node [above right] {$Q$} -- (-1.7,0) node [below] {$P$} -- (-2,0.5);\n    \\end{tikzpicture}\n\\end{center}",
-        "objs": [],
+        "objs": [
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216532,7 +217103,9 @@
     "008829": {
         "id": "008829",
         "content": "已知直线$l$: $f(x,y)=0$.如果直线$l$外一点$P$的坐标为$(x_0,y_0)$, 那么直线$f(x,y)$ $-f(x_0,y_0)=0$\\bracket{20}.\n\\twoch{过点$P$且与直线$l$斜交}{过点$P$且与直线$l$重合}{过点$P$且与直线$l$平行}{过点$P$且与直线$l$垂直}",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216554,7 +217127,11 @@
     "008830": {
         "id": "008830",
         "content": "如果直线$x\\cos \\theta +y-2=0(\\theta \\in \\mathbf{R})$的倾斜角为$\\alpha$, 那么$\\alpha$的取值范围是\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0701004X",
+            "K0701002X",
+            "K0701001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216576,7 +217153,9 @@
     "008831": {
         "id": "008831",
         "content": "若直线$l_1$: $a_1x+b_1y+2=0$(实数$a_1,b_1$不同时为$0$)与直线$l_2$: $a_2x+b_2y+2=0$(实数$a_2,b_2$不同时为$0$)的交点为$(1,2)$, 则经过$P(a_1,b_1),Q(a_2,b_2)$两点的直线的方程为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0702005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216598,7 +217177,9 @@
     "008832": {
         "id": "008832",
         "content": "如果直线$l$经过点$(3,4)$, 且点$(-3,2)$到直线$l$的距离最大, 求这条直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216620,7 +217201,9 @@
     "008833": {
         "id": "008833",
         "content": "已知$\\triangle ABC$的三个顶点的坐标分别为$A(2,3)$、$B(4,-1)$、$C(-4,1)$, 直线$l$平行于$AB$, 且将$\\triangle ABC$分成面积相等的两部分, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216642,7 +217225,9 @@
     "008834": {
         "id": "008834",
         "content": "过点$P(2,1)$作直线$l$, 分别交$x$轴、$y$轴的正半轴于$AB$两点.当$\\triangle AOB$的面积最小时, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0702002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -216664,7 +217249,9 @@
     "008835": {
         "id": "008835",
         "content": "已知直线$l$经过点$P(1,2)$, 且与两坐标轴围成的三角形面积为$S$.\\\\\n(1) 当$S=3$时, 满足条件的直线有几条?\\\\\n(2) 当$S=4$时, 满足条件的直线有几条?\\\\\n(3) 当$S=5$时, 满足条件的直线有几条?",
-        "objs": [],
+        "objs": [
+            "K0702002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -221939,7 +222526,9 @@
     "009074": {
         "id": "009074",
         "content": "若直线$ax+2y+2=0$与直线$3x-y-2=0$平行, 则实数$a=$\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -222133,7 +222722,9 @@
     "009083": {
         "id": "009083",
         "content": "已知点$A(m,m+1)$与点$B(2,m-1)$, 求直线$AB$的倾斜角$\\theta$和斜率$k$.",
-        "objs": [],
+        "objs": [
+            "K0701003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -222155,7 +222746,10 @@
     "009084": {
         "id": "009084",
         "content": "已知直线$mx+4y-2=0$与$2x-5y+n=0$互相垂直, 垂足为$(1,p)$, 求实数$m,n,p$的值.",
-        "objs": [],
+        "objs": [
+            "K0707001X",
+            "K0702005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -222177,7 +222771,9 @@
     "009085": {
         "id": "009085",
         "content": "已知直线$l_1$通过点$(0,-3)$, 且方向向量为$\\overrightarrow d=(1,2)$, 直线$l_2$的方程是$3x+y+2=0$.求这两条直线的夹角$\\alpha$的大小.",
-        "objs": [],
+        "objs": [
+            "KNONE"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -222373,7 +222969,9 @@
     "009094": {
         "id": "009094",
         "content": "已知$A(-2,-1)$、$B(2,5)$两点.若直线$3x+ay-6=0$过线段$AB$的中点, 则实数$a$的值等于\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0702005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -222592,7 +223190,9 @@
     "009104": {
         "id": "009104",
         "content": "在直线$x+3y=0$上求一点, 使它到原点的距离与它到直线$x+3y-2=0$的距离相等.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -237796,7 +238396,10 @@
     "009780": {
         "id": "009780",
         "content": "求经过下列两点的直线的斜率和倾斜角:\\\\\n(1) $P(-2, 2)$、$Q(2, -2)$;\\\\\n(2) $P(5,\\sqrt 3)$、$Q(2,2\\sqrt 3)$.",
-        "objs": [],
+        "objs": [
+            "K0701003X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -237818,7 +238421,9 @@
     "009781": {
         "id": "009781",
         "content": "在平面直角坐标系中有一个边长为$1$的正方形$OABC$, 其中$O$为坐标原点, 点$A$、$C$分别在$x$轴和$y$轴上, 点$B$在第一象限. 求直线$OB$和$AC$的斜率.",
-        "objs": [],
+        "objs": [
+            "K0701001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -237840,7 +238445,9 @@
     "009782": {
         "id": "009782",
         "content": "证明: 在平面直角坐标系中, 如果两条直线平行, 那么它们的倾斜角相等.",
-        "objs": [],
+        "objs": [
+            "K0701001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -237862,7 +238469,9 @@
     "009783": {
         "id": "009783",
         "content": "求经过点$P(-2,3)$且斜率为$-1$的直线$l$的点斜式方程.",
-        "objs": [],
+        "objs": [
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -237884,7 +238493,11 @@
     "009784": {
         "id": "009784",
         "content": "求倾斜角是$\\dfrac{5\\pi} 6$且在$x$轴上的截距为$-1$的直线$l$的点斜式方程.",
-        "objs": [],
+        "objs": [
+            "K0702001X",
+            "K0702004X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -237906,7 +238519,9 @@
     "009785": {
         "id": "009785",
         "content": "求经过点$A(2,3)$且垂直于$x$轴的直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0704002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -237928,7 +238543,10 @@
     "009786": {
         "id": "009786",
         "content": "已知直线$l$经过点$M(-2,-1)$且在$x$轴、$y$轴上截距相等, 求$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0701004X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -237950,7 +238568,9 @@
     "009787": {
         "id": "009787",
         "content": "求经过点$A(-2,3)$、$B(0,6)$的直线$l$的两点式方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -237972,7 +238592,10 @@
     "009788": {
         "id": "009788",
         "content": "已知三个不同的点$A(3,1)$、$B(a+1,3)$、$C(2a-1,3-a)$都在一条直线$l$上, 求实数$a$的值和直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0706003X",
+            "K0702002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -237994,7 +238617,9 @@
     "009789": {
         "id": "009789",
         "content": "在平面直角坐标系中, $O$是坐标原点. 已知$A$、$B$两点的坐标分别为$(4,0)$、$\n(0,3)$, 分别求$\\triangle ABO$的三条边上的中线所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238016,7 +238641,10 @@
     "009790": {
         "id": "009790",
         "content": "求下列方程所表示直线的斜率与倾斜角:\\\\\n(1) $x=1$;\\\\\n(2) $x+y-1=0$;\\\\\n(3) $x+2y-1=0$;\\\\\n(4) $y=1$.",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238038,7 +238666,9 @@
     "009791": {
         "id": "009791",
         "content": "求证: 无论实数$m$取何值, 直线$l:x+(m+1)y+1=0$都经过一个定点.",
-        "objs": [],
+        "objs": [
+            "K0704003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238060,7 +238690,9 @@
     "009792": {
         "id": "009792",
         "content": "已知直线$l:kx+2y+3-k=0$经过平面直角坐标系的第二、第三与第四象限, 求实数$k$的取值范围.",
-        "objs": [],
+        "objs": [
+            "K0704003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238082,7 +238714,9 @@
     "009793": {
         "id": "009793",
         "content": "写出下列直线的一个法向量:\\\\\n(1) $2x-3y+1=0$;\\\\\n(2) $3x+2y+1=0$;\\\\\n(3) $x+3=0$;\\\\\n(4) $y=\\dfrac 12x-3$.",
-        "objs": [],
+        "objs": [
+            "K0705001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238104,7 +238738,9 @@
     "009794": {
         "id": "009794",
         "content": "已知直线$l$的方程是$(a-3)x+(2a+1)y-3=0$, 它的一个法向量是$\\overrightarrow n=(3,2)$. 求实数$a$的值.",
-        "objs": [],
+        "objs": [
+            "K0705001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238126,7 +238762,11 @@
     "009795": {
         "id": "009795",
         "content": "根据下列条件, 求直线$l$的方程:\\\\\n(1) $l$在$x$轴上的截距为$-1$, 且$l$的一个法向量是$\\overrightarrow n=(-1,2)$;\\\\\n(2) $l$经过点$(2,3)$, 且$l$上的任何向量都与向量$\\overrightarrow a=(1,2)$平行.",
-        "objs": [],
+        "objs": [
+            "K0702001X",
+            "K0705003X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238148,7 +238788,10 @@
     "009796": {
         "id": "009796",
         "content": "判断下列两条直线的位置关系. 若相交, 求交点坐标.\\\\\n(1) $l_1: x+3y+1=0$, $l_2: 3x+4=0$;\\\\\n(2)$ l_1: x-3y+1=0$, $l_2: y=\\dfrac 13x+4$.",
-        "objs": [],
+        "objs": [
+            "K0706002X",
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238170,7 +238813,9 @@
     "009797": {
         "id": "009797",
         "content": "已知直线$l_1: (a+1)x+y+a=0$, $l_2:x+(a+1)y-2=0$. 若$l_1\\parallel l_2$, 求实数$a$的值.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238192,7 +238837,10 @@
     "009798": {
         "id": "009798",
         "content": "求经过直线$l_1: x-y-4=0$与$l_2:2x-3y-7=0$的交点, 且与直线$l_3: 2x+y+1=0$平行的直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0706001X",
+            "K0705003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238214,7 +238862,9 @@
     "009799": {
         "id": "009799",
         "content": "已知直线$l_1:(a-2)x+ay-2=0$与$l_2:(1-a)x+(a+1)y+1=0$互相垂直, 求实数$a$的值.",
-        "objs": [],
+        "objs": [
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238236,7 +238886,10 @@
     "009800": {
         "id": "009800",
         "content": "求过点$(-1,-1)$且分别与下列直线垂直的直线方程:\\\\\n(1) $y=2$;\\\\\n(2) $y=x$;\\\\\n(3) $2x+y+2=0$;\\\\\n(4) $x\\cos\\theta +y\\sin \\theta =1$, $\\theta$为给定的实数.",
-        "objs": [],
+        "objs": [
+            "K0707001X",
+            "K0705002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238258,7 +238911,9 @@
     "009801": {
         "id": "009801",
         "content": "根据下列方程, 求直线$l_1$与$l_2$的夹角的大小:\\\\\n(1) $l_1: 3x-5y+1=0$与$l_2:2x+y=3$;\\\\\n(2) $l_1: y=5x-3$与$l_2:y=-3x+2$.",
-        "objs": [],
+        "objs": [
+            "K0707004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238280,7 +238935,9 @@
     "009802": {
         "id": "009802",
         "content": "已知直线$l1:\\sqrt 3x-y+3=0$与直线$l_2: y=kx+3$的夹角为$\\dfrac \\pi 4$, 求实数$k$的值.",
-        "objs": [],
+        "objs": [
+            "K0707005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238302,7 +238959,10 @@
     "009803": {
         "id": "009803",
         "content": "求经过点$A(4,-3)$且与直线$l: x+y-3=0$的夹角为$\\dfrac\\pi 3$的直线$l'$的方程.",
-        "objs": [],
+        "objs": [
+            "K0702002X",
+            "K0707005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238324,7 +238984,9 @@
     "009804": {
         "id": "009804",
         "content": "根据下列条件, 求点$M(-2,-1)$到直线$l$的距离$d$:\\\\\n(1) $l: x=3$;\\\\\n(2) $l: y=3$;\\\\\n(3) $l: x+y=3$;\\\\\n(4) $l: y=3x-5$.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -238346,7 +239008,10 @@
     "009805": {
         "id": "009805",
         "content": "在直角三角形$ABC$中, $\\angle A=\\dfrac \\pi 2$, $|AB|=6$, $|AC|=8$. 求三角形的重心$G$到斜边$BC$所在直线的距离.",
-        "objs": [],
+        "objs": [
+            "K0703002X",
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256517,7 +257182,10 @@
     "010591": {
         "id": "010591",
         "content": "如图, 在平面直角坐标系中, 直线$l_1$与$l_2$垂直, 垂足为$A$, $l_1$、$l_2$与$x$轴的交点分别为$B$、$C$, $\\angle ABC=\\dfrac \\pi 6$. 试分别求直线$l_1$、$l_2$的倾斜角和斜率.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->, name path = x] (-2,0) -- (2,0) node [below] {$x$};\n\\draw [->, name path = y] (0,-2) -- (0,2) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [name path = l1] (-1.9,0.2) --++ (-30:3) node [right] {$l_1$};\n\\draw [name path = l2] (-0.4,-1.8) --++ (60:3) node [right] {$l_2$};\n\\draw [name intersections = {of = l1 and l2, by = A}];\n\\draw [name intersections = {of = l1 and x, by = B}];\n\\draw [name intersections = {of = l2 and x, by = C}];\n\\draw (B) node [below] {$B$};\n\\draw (C) node [above left] {$C$};\n\\draw (A) node [right] {$A$};\n\\draw (A) pic [draw, scale = 0.3] {right angle = C--A--B};\n\\end{tikzpicture}\n\\end{center}",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256539,7 +257207,10 @@
     "010592": {
         "id": "010592",
         "content": "求经过下列两点的直线的斜率与倾斜角:\\\\\n(1) $P(1, 2)$、$Q(2, -1)$;\\\\\n(2) $M(2, 1)$、$N(a, -2)$, 其中实数$a$是常数.",
-        "objs": [],
+        "objs": [
+            "K0701003X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256561,7 +257232,10 @@
     "010593": {
         "id": "010593",
         "content": "根据下列直线$l$的倾斜角$\\theta$的取值范围, 计算斜率$k$的取值范围:\\\\\n(1) $\\theta \\in [\\dfrac \\pi 4, \\dfrac \\pi 3]$;\\\\\n(2) $\\theta \\in (\\dfrac \\pi 2, \\dfrac{2\\pi} 3)$.",
-        "objs": [],
+        "objs": [
+            "K0701002X",
+            "K0701001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256583,7 +257257,9 @@
     "010594": {
         "id": "010594",
         "content": "已知三个不同的点$A(2, a)$、$B(a+1, 2a+1)$、$C(-4, 1+a)$在同一条直线上, 求实数$a$的值及该直线的斜率.",
-        "objs": [],
+        "objs": [
+            "K0706003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256605,7 +257281,10 @@
     "010595": {
         "id": "010595",
         "content": "如图, 已知点$A(2, 4)$、$B(-1, -1)$、$C(4, 1)$, 过点$B$的直线$l$与线段$AC$相交. 求直线$l$的斜率$k$的取值范围.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, scale = 0.4]\n\\draw [->] (-2,0) -- (6,0) node [below] {$x$};\n\\draw [->] (0,-2) -- (0,6) node [left] {$y$};\n\\draw (0,0) node [below right] {$O$};\n\\filldraw (2,4) circle (0.1) node [left] {$A$} coordinate (A);\n\\filldraw (-1,-1) circle (0.1) node [left] {$B$} coordinate (B);\n\\filldraw (4,1) circle (0.1) node [right] {$C$} coordinate (C);\n\\draw (A) -- (C);\n\\draw (B) ++ (-1,-0.9) --++ (7,6.3) node [right] {$l$};\n\\end{tikzpicture}\n\\end{center}",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0701003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256627,7 +257306,10 @@
     "010596": {
         "id": "010596",
         "content": "已知常数$\\theta \\in [0, \\pi)$, 试用$\\theta$表示经过$P(0, 0)$、$Q(\\sin \\theta , \\cos \\theta)$两点的直线$l$的倾斜角.",
-        "objs": [],
+        "objs": [
+            "K0701003X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256649,7 +257331,9 @@
     "010597": {
         "id": "010597",
         "content": "设直线$l_1$、$l_2$的倾斜角分别为$\\theta_1$、$\\theta_2$, 求证: $l_1\\perp l_2$的充要条件是$|\\theta_1-\\theta_2|=\\dfrac \\pi 2$.",
-        "objs": [],
+        "objs": [
+            "K0701001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256671,7 +257355,10 @@
     "010598": {
         "id": "010598",
         "content": "已知直线$l$在平面直角坐标系中的斜率是$k$, 向量$\\overrightarrow a$在直线$l$上. 求向量$\\overrightarrow a$在$x$轴上的投影向量.",
-        "objs": [],
+        "objs": [
+            "K0701004X",
+            "K0705004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256693,7 +257380,10 @@
     "010599": {
         "id": "010599",
         "content": "已知直线$l$经过点$P(3, 5)$, 倾斜角为$\\alpha$且$\\cos\\alpha=\\dfrac 35$. 求直线$l$的点斜式方程.",
-        "objs": [],
+        "objs": [
+            "K0701002X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256715,7 +257405,11 @@
     "010600": {
         "id": "010600",
         "content": "已知直线$l$在$y$轴上的截距为$4$, 倾斜角为$\\alpha$且$\\sin\\alpha=\\dfrac 35$. 求直线$l$的斜截式方程.",
-        "objs": [],
+        "objs": [
+            "K0702001X",
+            "K0702004X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256737,7 +257431,10 @@
     "010601": {
         "id": "010601",
         "content": "求下列直线的斜率与在$x$、$y$两坐标轴上的截距:\\\\\n(1) $l_1: y+1=-\\dfrac {\\sqrt 3}3(x+1)$;\\\\\n(2) $l_2: y=-3x+\\sqrt 3$.",
-        "objs": [],
+        "objs": [
+            "K0701004X",
+            "K0702001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256759,7 +257456,10 @@
     "010602": {
         "id": "010602",
         "content": "已知直线$l: y=kx+2$经过点$(1, -3)$.\\\\\n(1) 求$l$的倾斜角的大小;\\\\\n(2) 求$l$在$x$轴上的截距.",
-        "objs": [],
+        "objs": [
+            "K0701002X",
+            "K0702001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256781,7 +257481,10 @@
     "010603": {
         "id": "010603",
         "content": "直线$l$经过点$P(-2, 1)$, 在$x$轴、$y$轴上的截距分别为$a$、$b$. 已知$a+b=4$, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0702001X",
+            "K0702002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256803,7 +257506,9 @@
     "010604": {
         "id": "010604",
         "content": "根据给定条件, 求下列直线的两点式方程:\\\\\n(1) 直线$l_1$经过点$A(2, 0)$、$B(3, 7)$;\\\\\n(2) 直线$l_2$与坐标轴的交点分别为$(3, 0)$、$(0, -1)$.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256825,7 +257530,9 @@
     "010605": {
         "id": "010605",
         "content": "已知$\\triangle ABC$的三个顶点的坐标分别为$A(3, 8)$、$B(3, -2)$、$C(-3, 0)$.\\\\\n(1)求边$BC$所在直线的方程;\\\\\n(2)求边$BC$上的中线所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256849,7 +257556,9 @@
     "010606": {
         "id": "010606",
         "content": "设直线$l$在$x$轴与$y$轴上的截距分别是$a$与$b$, 且$a$与$b$均不为零. 求证: 直线$l$的方程可以写成$\\dfrac xa+\\dfrac yb=1$.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256871,7 +257580,9 @@
     "010607": {
         "id": "010607",
         "content": "一个弹簧在弹性限度内挂$4\\text{kg}$的物体时弹簧长度为$20\\text{cm}$, 挂$5\\text{kg}$物体时弹簧长度为$21.5\\text{cm}$. 已知在弹性限度内所挂物体的质量$x$(单位: $\\text{kg}$)与弹簧长度$y$(单位: $\\text{cm}$)的关系可以用直线的方程表示, 求该直线的方程, 并求弹簧自身的长度.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256893,7 +257604,10 @@
     "010608": {
         "id": "010608",
         "content": "在平面直角坐标系中, 作出下列直线, 并求它们的斜率与倾斜角.\\\\\n(1) $l_1: 3x-y-2=0$;\\\\\n(2) $l_2: 3x+2y-1=0$.",
-        "objs": [],
+        "objs": [
+            "K0701004X",
+            "K0701002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256915,7 +257629,9 @@
     "010609": {
         "id": "010609",
         "content": "设直线$l$的方程是$ax+by+c=0$, 在下列条件下, 求实数$a$、$b$、$c$满足的条件:\\\\\n(1) $l$与$x$轴、$y$轴均相交;\\\\\n(2) $l$经过第二、第三、第四象限.",
-        "objs": [],
+        "objs": [
+            "K0704003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256937,7 +257653,10 @@
     "010610": {
         "id": "010610",
         "content": "已知直线$l: ax+(4-2a)y-3=0$, 根据下列条件, 求实数$a$的值:\\\\\n(1) $l$经过点$(1, 1)$;\\\\\n(2) $l$在两个坐标轴上的截距相等.",
-        "objs": [],
+        "objs": [
+            "K0702005X",
+            "K0702001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -256982,7 +257701,9 @@
     "010612": {
         "id": "010612",
         "content": "已知直线$l_1: 3kx+(k+2)y+6=0$, 直线$l_2: kx+(2k-3)y+2=0$. 若这两条直线的法向量互相垂直, 求$k$的值.",
-        "objs": [],
+        "objs": [
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257004,7 +257725,9 @@
     "010613": {
         "id": "010613",
         "content": "已知平行四边形$ABCD$中, 三个顶点的坐标分别为$A(1, 2)$、$B(3, 4)$、$C(2, 6)$.分别求边$AD$、$CD$所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257026,7 +257749,9 @@
     "010614": {
         "id": "010614",
         "content": "已知直线$l$经过点$P(2, -1)$, 与$x$轴、$y$轴分别交于$A$、$B$两点. 若$2\\overrightarrow{PA}+\\overrightarrow{PB}=\\overrightarrow 0$, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257048,7 +257773,9 @@
     "010615": {
         "id": "010615",
         "content": "直线$l: y=kx+b$($k$、$b\\in \\mathbf{R}$)与线段$AB$相交, 其中点$A$为$(4, 2)$, 点$B$为$(1, 5)$.\\\\\n(1) 当$b=-1$时, 求$k$的取值范围;\\\\\n(2) 当$k=1$时, 求$b$的取值范围.",
-        "objs": [],
+        "objs": [
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257070,7 +257797,9 @@
     "010616": {
         "id": "010616",
         "content": "已知$\\triangle ABC$中, 两个顶点的坐标分别为$A(-2, 1)$、$B(4, -3)$, 点$G(0, 2)$是此三角形的重心. 求边$BC$、$AC$所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257092,7 +257821,9 @@
     "010617": {
         "id": "010617",
         "content": "若$2x_1+3y_1=1, 2x_2+3y_2=1$, 且$x_1\\ne x_2$. 求经过两点$A(x_1, y_1)$、$B(x_2, y_2)$的直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0702005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257114,7 +257845,10 @@
     "010618": {
         "id": "010618",
         "content": "如图是一个$\\text{W}$形的霓虹灯(灯管宽度忽略不计), 每边长都是$2\\text{m}$, 每相邻两边相交所成的锐角都是$30^\\circ$. 试建立适当的平面直角坐标系, 写出此霓虹灯的每条边所在直线在这个坐标系中的方程.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [very thick] (0,0) --++ (-75:2) --++ (75:2) --++ (-75:2) --++ (75:2);\n\\end{tikzpicture}\n\\end{center}",
-        "objs": [],
+        "objs": [
+            "K0701001X",
+            "K0702002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257136,7 +257870,9 @@
     "010619": {
         "id": "010619",
         "content": "证明: 直线$2x+(1-\\cos 2\\theta)y-\\sin \\theta =0$($\\theta \\in \\mathbf{R}$且不是$\\pi$的整数倍)和两坐标轴围成图形的面积是定值.",
-        "objs": [],
+        "objs": [
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257158,7 +257894,10 @@
     "010620": {
         "id": "010620",
         "content": "已知直线$l: (a-1)x+(3-2a)y+a+1=0$.\\\\\n(1) 若直线的斜率$k\\in [-1, 2]$, 求实数$a$的取值范围;\\\\\n(2) 求证:对任意实数$a$, 直线$l$都经过一个定点.",
-        "objs": [],
+        "objs": [
+            "K0701004X",
+            "K0704003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257180,7 +257919,9 @@
     "010621": {
         "id": "010621",
         "content": "根据下列方程, 判定直线$l_1$与$l_2$的位置关系:\\\\\n(1)$l_1: 2x-3y-1=0$, $l_2: 4x-6y-2=0$;\\\\\n(2)$l_1: y=\\dfrac 13x+1$, $l_2: x-6y-2=0$;\\\\\n(3)$l_1: (\\sqrt 5-1)x-2y+1=0$, $l_2: 2x-(\\sqrt 5-1)y-2=0$.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257202,7 +257943,9 @@
     "010622": {
         "id": "010622",
         "content": "已知直线$l_1: 6x+(t-1)y-8=0$, 直线$l_2: (t+4)$x+$(t+6)y-16=0$. 根据下列条件, 求实数$t$的取值范围:\\\\\n(1) $l_1$与$l_2$相交;\\\\\n(2) $l_1\\parallel l_2$;\\\\\n(3) $l_1$与$l_2$重合.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257224,7 +257967,9 @@
     "010623": {
         "id": "010623",
         "content": "已知两条直线$l_1: (t-1)x+2y-t=0$和$l_2: $$x+ty+t-2=0$, 且$l_1\\parallel l_2$. 求实数$t$的值.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257246,7 +257991,9 @@
     "010624": {
         "id": "010624",
         "content": "已知平行四边形$ABCD$中, 一组对边$AB$、$CD$所在直线的方程分别为$ax+4y=a+2$, $x+ay=a$. 求实数$a$的值.",
-        "objs": [],
+        "objs": [
+            "K0706002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257289,7 +258036,9 @@
     "010626": {
         "id": "010626",
         "content": "已知直线$l_1: (k-3)x+(5-k)y+1=0$与直线$l_2: 2(k-3)x-2y+(2-k)=0$互相垂直, 求实数$k$的值.",
-        "objs": [],
+        "objs": [
+            "K0707001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257311,7 +258060,11 @@
     "010627": {
         "id": "010627",
         "content": "已知直线$l$垂直于直线$l': 2x+3y-4=0$, 根据下列条件求$l$的方程:\\\\\n(1) $l$经过点$(1, 1)$;\\\\\n(2) $l$与坐标轴围成的三角形的面积是$3$.",
-        "objs": [],
+        "objs": [
+            "K0707001X",
+            "K0702003X",
+            "K0706001X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257333,7 +258086,10 @@
     "010628": {
         "id": "010628",
         "content": "已知等腰直角三角形$ABC$的斜边$AB$所在直线的方程为$3x-y-5=0$, 直角顶点为$C(4, -1)$. 求两条直角边所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0702002X",
+            "K0707005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257357,7 +258113,9 @@
     "010629": {
         "id": "010629",
         "content": "根据下列方程, 求直线$l_1$与$l_2$的夹角的大小:\\\\\n(1) $l_1: x+3y+2=0$, $l_2: 4x+2y-1=0$;\\\\\n(2) $l_1: x+2y-3=0$, $l_2: x-y-5=0$;\\\\\n(3) $l_1: 2x-3y+6=0$, $l_2: x-5=0$.",
-        "objs": [],
+        "objs": [
+            "K0707004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257379,7 +258137,9 @@
     "010630": {
         "id": "010630",
         "content": "若直线$x+my+5=0$与直线$x+y+1=0$的夹角为$\\pi 4$, 求实数$m$的值.",
-        "objs": [],
+        "objs": [
+            "K0707004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257401,7 +258161,10 @@
     "010631": {
         "id": "010631",
         "content": "已知等腰直角三角形$ABC$的直角边$BC$所在直线的方程为$x-2y-6=0$, 顶点$A$的坐标为$(0, 6)$. 分别求直角边$AC$、斜边$AB$所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0702002X",
+            "K0707005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257488,7 +258251,11 @@
     "010635": {
         "id": "010635",
         "content": "分别求经过直线$l_1: 5x+2y-3=0$和$l_2: $$3x-5y-8=0$的交点, 且与直线$x+4y-7=0$垂直、平行的直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0706002X",
+            "K0707001X",
+            "K0702002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257510,7 +258277,11 @@
     "010636": {
         "id": "010636",
         "content": "已知$\\triangle ABC$的一个顶点为$A(3, -4)$, 有两条高所在直线的方程分别是$7x-2y-1=0$与$2x-7y-6=0$. 求$\\triangle ABC$三条边所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0707001X",
+            "K0706001X",
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257532,7 +258303,10 @@
     "010637": {
         "id": "010637",
         "content": "求直线$l_1: x+y-3=0$与直线$l_2: 7x-y-5=0$夹角平分线的方程.",
-        "objs": [],
+        "objs": [
+            "K0706001X",
+            "K0702003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257554,7 +258328,9 @@
     "010638": {
         "id": "010638",
         "content": "一束光线经过点$(-2, 1)$, 由直线$l: y=x$反射后, 经过点$(3, 5)$射出. 求反射光线所在直线的方程.",
-        "objs": [],
+        "objs": [
+            "K0703002X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257576,7 +258352,9 @@
     "010639": {
         "id": "010639",
         "content": "求点$P(2, 3)$到直线$l$的距离:\\\\\n(1) $l: 3x-2y=13$;\\\\\n(2) $l: y=-2x+3$.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257598,7 +258376,9 @@
     "010640": {
         "id": "010640",
         "content": "已知点$A(a, 6)$到直线$3x-4y-4=0$的距离等于$4$, 求实数$a$的值.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257641,7 +258421,9 @@
     "010642": {
         "id": "010642",
         "content": "已知直线$l_1: 2x-y+a=0$与直线$l_2: -4x+2y+1=0$的距离为$\\dfrac{7\\sqrt 5}{10}$, 求实数$a$的值.",
-        "objs": [],
+        "objs": [
+            "K0708004X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257665,7 +258447,10 @@
     "010643": {
         "id": "010643",
         "content": "已知点$A(1, 0)$、$B(4, -4)$. 若点$A$与点$B$到直线$l$的距离都为$2$, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0702004X",
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257687,7 +258472,9 @@
     "010644": {
         "id": "010644",
         "content": "已知点$P$是直线$3x-4y+2=0$上任意一点, 求点$P$与点$A(3, -1)$之间距离的最小值.",
-        "objs": [],
+        "objs": [
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -257709,7 +258496,10 @@
     "010645": {
         "id": "010645",
         "content": "已知直线$l$经过点$P(1, 1)$且与直线$l_1: y=\\sqrt 3x+1$和$l_2: y=\\sqrt 3x+3$分别交于点$A$和点$B$. 若$|AB|=\\sqrt 2$, 求直线$l$的方程.",
-        "objs": [],
+        "objs": [
+            "K0702002X",
+            "K0707005X"
+        ],
         "tags": [
             "第七单元",
             "直线"
@@ -295374,7 +296164,10 @@
     "030026": {
         "id": "030026",
         "content": "已知直线$l$经过点$(-\\sqrt{5},0)$且法向量为$(1,2)$, 则原点$O$到直线$l$的距离为\\blank{50}.",
-        "objs": [],
+        "objs": [
+            "K0705002X",
+            "K0708003X"
+        ],
         "tags": [
             "第七单元",
             "直线"