diff --git a/工具/修改题目数据库.ipynb b/工具/修改题目数据库.ipynb
index bc05e74c..1fd878aa 100644
--- a/工具/修改题目数据库.ipynb
+++ b/工具/修改题目数据库.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
@@ -11,7 +11,7 @@
        "0"
       ]
      },
-     "execution_count": 2,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -19,7 +19,7 @@
    "source": [
     "import os,re,json\n",
     "\"\"\"这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭, 随后运行第二个代码块\"\"\"\n",
-    "problems = \"1:3\"\n",
+    "problems = \"4486\"\n",
     "\n",
     "def generate_number_set(string,dict):\n",
     "    string = re.sub(r\"[\\n\\s]\",\"\",string)\n",
diff --git a/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb b/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb
index d2f083a3..59210d1f 100644
--- a/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb
+++ b/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb
@@ -2,9 +2,21 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 2,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "ename": "ValueError",
+     "evalue": "invalid literal for int() with base 10: ''",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)",
+      "Cell \u001b[1;32mIn[2], line 34\u001b[0m\n\u001b[0;32m     32\u001b[0m     \u001b[39mif\u001b[39;00m t\u001b[39m.\u001b[39mupper() \u001b[39m==\u001b[39m \u001b[39m\"\u001b[39m\u001b[39mA\u001b[39m\u001b[39m\"\u001b[39m:\n\u001b[0;32m     33\u001b[0m         correspondence_dict[p] \u001b[39m=\u001b[39m problems_list[\u001b[39mint\u001b[39m(re\u001b[39m.\u001b[39mfindall(\u001b[39mr\u001b[39m\u001b[39m\"\u001b[39m\u001b[39m([\u001b[39m\u001b[39m\\\u001b[39m\u001b[39md]+?)\u001b[39m\u001b[39m\\\u001b[39m\u001b[39m.\u001b[39m\u001b[39m\"\u001b[39m,p)[\u001b[39m0\u001b[39m])\u001b[39m-\u001b[39m\u001b[39m1\u001b[39m]\n\u001b[1;32m---> 34\u001b[0m     \u001b[39melif\u001b[39;00m \u001b[39mnot\u001b[39;00m (\u001b[39mint\u001b[39;49m(t)\u001b[39m<\u001b[39m\u001b[39m1\u001b[39m \u001b[39mor\u001b[39;00m \u001b[39mint\u001b[39m(t)\u001b[39m>\u001b[39m\u001b[39mlen\u001b[39m(problems_list)):\n\u001b[0;32m     35\u001b[0m         correspondence_dict[p] \u001b[39m=\u001b[39m problems_list[\u001b[39mint\u001b[39m(t)\u001b[39m-\u001b[39m\u001b[39m1\u001b[39m] \n\u001b[0;32m     37\u001b[0m outputstr \u001b[39m=\u001b[39m \u001b[39m\"\u001b[39m\u001b[39musages\u001b[39m\u001b[39m\\n\u001b[39;00m\u001b[39m\\n\u001b[39;00m\u001b[39m\"\u001b[39m\n",
+      "\u001b[1;31mValueError\u001b[0m: invalid literal for int() with base 10: ''"
+     ]
+    }
+   ],
    "source": [
     "import zipfile,os,re,time\n",
     "import pandas as pd\n",
diff --git a/工具/寻找tex文件中未赋答案的题目.ipynb b/工具/寻找tex文件中未赋答案的题目.ipynb
index 9de96737..4e0b3913 100644
--- a/工具/寻找tex文件中未赋答案的题目.ipynb
+++ b/工具/寻找tex文件中未赋答案的题目.ipynb
@@ -2,66 +2,78 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "38_计数原理与排列组合.tex\n",
-      "007380\n",
+      "32_空间向量的概念与性质及立体几何中的证明问题.tex\n",
+      "009860\n",
       "\n",
       "\n",
-      "003666\n",
+      "001966\n",
       "\n",
       "\n",
-      "007455\n",
+      "001969\n",
       "\n",
       "\n",
-      "007502\n",
+      "010715\n",
       "\n",
       "\n",
-      "007521\n",
+      "001956\n",
       "\n",
       "\n",
-      "010861\n",
+      "030464\n",
       "\n",
       "\n",
-      "009333\n",
+      "030457\n",
       "\n",
       "\n",
-      "007673\n",
+      "010733\n",
       "\n",
       "\n",
-      "002537\n",
+      "001949\n",
       "\n",
       "\n",
-      "002586\n",
+      "001957\n",
       "\n",
       "\n",
-      "007432\n",
+      "010714\n",
       "\n",
       "\n",
-      "002563\n",
+      "001958\n",
       "\n",
       "\n",
-      "009262\n",
+      "001965\n",
       "\n",
       "\n",
-      "007476\n",
+      "003679\n",
       "\n",
       "\n",
-      "007494\n",
+      "030470\n",
       "\n",
       "\n",
-      "003640\n",
+      "030454\n",
       "\n",
       "\n",
-      "009351\n",
+      "009858\n",
       "\n",
       "\n",
-      "003574\n",
+      "001980\n",
+      "\n",
+      "\n",
+      "001968\n",
+      "\n",
+      "\n",
+      "001976\n",
+      "\n",
+      "\n",
+      "001954\n",
+      "\n",
+      "\n",
+      "030479\n",
       "\n",
       "\n"
      ]
@@ -71,7 +83,7 @@
     "import os,json,re\n",
     "\n",
     "#这里需要修改, 设定路径与选择文件\n",
-    "fileind = 38\n",
+    "fileind = 32\n",
     "# path = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\上学期测验卷\"\n",
     "path = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\"\n",
     "\n",
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 dfd8b725..b5cefe6c 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
@@ -2,134 +2,36 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.800\n",
-      "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t1.000\n",
-      "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.800\n",
-      "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.714\n",
-      "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.629\n",
-      "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.971\n",
-      "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.943\n",
-      "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.629\n",
-      "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.829\n",
-      "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.771\n",
-      "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.400\n",
-      "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.818\n",
-      "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.955\n",
-      "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.727\n",
-      "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.773\n",
-      "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.591\n",
-      "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.818\n",
-      "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.636\n",
-      "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.409\n",
-      "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.727\n",
-      "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.409\n",
-      "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.318\n",
-      "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.917\n",
-      "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t1.000\n",
-      "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.833\n",
-      "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.792\n",
-      "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.750\n",
-      "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.917\n",
-      "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.875\n",
-      "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.750\n",
-      "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.792\n",
-      "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.500\n",
-      "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t0.292\n",
-      "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.840\n",
-      "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t1.000\n",
-      "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t1.000\n",
-      "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.960\n",
-      "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.480\n",
-      "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.920\n",
-      "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.800\n",
-      "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.880\n",
-      "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.920\n",
-      "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.800\n",
-      "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.880\n",
-      "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.923\n",
-      "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t1.000\n",
-      "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.846\n",
-      "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.885\n",
-      "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.577\n",
-      "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.731\n",
-      "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.808\n",
-      "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.846\n",
-      "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.808\n",
-      "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.615\n",
-      "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.692\n",
-      "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.923\n",
-      "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t1.000\n",
-      "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.885\n",
-      "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.538\n",
-      "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.308\n",
-      "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.654\n",
-      "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.846\n",
-      "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.808\n",
-      "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.654\n",
-      "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.115\n",
-      "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.615\n",
-      "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.897\n",
-      "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.974\n",
-      "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.872\n",
-      "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.744\n",
-      "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.821\n",
-      "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.949\n",
-      "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.923\n",
-      "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.795\n",
-      "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.846\n",
-      "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.769\n",
-      "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.487\n",
-      "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.949\n",
-      "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t1.000\n",
-      "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.795\n",
-      "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.692\n",
-      "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.538\n",
-      "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.923\n",
-      "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.949\n",
-      "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.795\n",
-      "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.846\n",
-      "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.872\n",
-      "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.564\n",
-      "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.929\n",
-      "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.964\n",
-      "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.929\n",
-      "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.679\n",
-      "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.179\n",
-      "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.857\n",
-      "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.857\n",
-      "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.714\n",
-      "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.750\n",
-      "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.107\n",
-      "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.607\n",
-      "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.857\n",
-      "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t1.000\n",
-      "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.929\n",
-      "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.750\n",
-      "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.286\n",
-      "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.714\n",
-      "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.821\n",
-      "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.536\n",
-      "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.893\n",
-      "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.500\n",
-      "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.536\n",
-      "题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.857\n",
-      "题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.964\n",
-      "题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.821\n",
-      "题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.679\n",
-      "题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.536\n",
-      "题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.893\n",
-      "题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.643\n",
-      "题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.429\n",
-      "题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.714\n",
-      "题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.464\n",
-      "题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.143\n"
+      "题号: 009876 , 字段: ans 中已修改数据: (1) $27$; (2) $86$; (3) $13$\n",
+      "题号: 030075 , 字段: ans 中已修改数据: $\\dfrac{\\sqrt{3}}4R^2$\n",
+      "题号: 004596 , 字段: ans 中已修改数据: $-\\dfrac 13$, $\\dfrac{13}6$\n",
+      "题号: 004597 , 字段: ans 中已修改数据: (1) $26.5$; (2) 分布列为$\\begin{pmatrix} 0 & 1 & 2 & 3 & 4 \\\\ \\dfrac 1{16} & \\dfrac 4{16} & \\dfrac 6{16} & \\dfrac 4{16} & \\dfrac 1{16}\\end{pmatrix}$, 期望为$2$\n",
+      "题号: 004598 , 字段: ans 中已修改数据: (1) 调整前的平均利润为$5000$元每天, 调整后的平均利润为$15000$元每天, 因此调整后的平均利润比调整前更多; (2) 应定价为每张$13$元\n",
+      "题号: 004599 , 字段: ans 中已修改数据: (1) $\\begin{pmatrix} 0 & 1 & 2 & 3 & 4 & 5 & 6\\\\ 0.01 & 0.04 & 0.12 & 0.22 & 0.28 & 0.24 & 0.09 \\end{pmatrix}$; (2) 方案一所需费用的期望为$10720$元, 方案二所需费用的期望为$10420$元, 因此选择第二种延保方案更合算\n",
+      "题号: 004600 , 字段: ans 中已修改数据: $\\dfrac{5}{9}$, $\\dfrac{5}{36}$\n",
+      "题号: 004601 , 字段: ans 中已修改数据: (1) $\\dfrac 35$; (2) 分布列为$\\begin{pmatrix}    0 & 1 & 2 \\\\ \\dfrac 25 & \\dfrac 25 & \\dfrac 15\\end{pmatrix}$, $E[X]=\\dfrac 45$, $D[X]=\\dfrac{14}{25}$\n",
+      "题号: 004602 , 字段: ans 中已修改数据: (1) $\\dfrac 5{12}$; (2) 分布列为$\\begin{pmatrix}   0 & 40 & 80 & 120 & 160 \\\\ \\dfrac 1{24} & \\dfrac 14 & \\dfrac 5{12} & \\dfrac 14 & \\dfrac 1{24}\\end{pmatrix}$, $E[X]=80$, $D[X]=\\dfrac{4000}3$\n",
+      "题号: 004603 , 字段: ans 中已修改数据: $\\dfrac 2{27}$\n",
+      "题号: 004604 , 字段: ans 中已修改数据: $6$\n",
+      "题号: 004605 , 字段: ans 中已修改数据: $\\dfrac{20}{243}$\n",
+      "题号: 004606 , 字段: ans 中已修改数据: (1) 分布列为$\\begin{pmatrix} 0 & 1 & 2 & 3 \\\\ 0.2p^2-0.4p+0.2 & 0.4p^2-1.2p+0.8 & -1.4p^2+1.6p & 0.8p^2\\end{pmatrix}$, $E[X]=2p+0.8$; (2) $0.96$, $700$棵\n",
+      "题号: 004607 , 字段: ans 中已修改数据: (1) $\\begin{pmatrix} 0 & 1 & 2 & 3 \\\\ \\dfrac{729}{1000} & \\dfrac{243}{1000} & \\dfrac{27}{1000} & \\dfrac 1{1000}\\end{pmatrix}$; (2) 一轮游戏获得的分数$Y$的期望$E[Y]=-1.69<0$, 所以许多人的分数没有增加反而减少了\n",
+      "题号: 004608 , 字段: ans 中已修改数据: (1) 当$n=5$或$6$时, 有$3$个坑需要补种的概率最大, 最大概率为$\\dfrac 5{16}$; (2) 分布列为$\\begin{pmatrix}0 & 1 & 2 & 3 & 4 \\\\ \\dfrac 1{16} & \\dfrac 14 & \\dfrac 38 & \\dfrac 14 & \\dfrac 1{16}\\end{pmatrix}$, $E[X]=2$\n",
+      "题号: 004611 , 字段: ans 中已修改数据: (1) $20p$; (2) $3.2p-1.2$; (3) 当$p\\in (0,\\dfrac 34]$时, 应选择第一个项目(期望更高, 或者期望相同的情况下方差更低), 当$p\\in (\\dfrac 34,1)$时, 应选择第二个项目\n",
+      "题号: 004612 , 字段: ans 中已修改数据: $\\dfrac {43}{138}$\n",
+      "题号: 004613 , 字段: ans 中已修改数据: $\\dfrac{56}{165}$\n",
+      "题号: 004614 , 字段: ans 中已修改数据: $0.042$\n",
+      "题号: 004615 , 字段: ans 中已修改数据: (1) $0.191$; (2) $\\dfrac 53$\n",
+      "题号: 004616 , 字段: ans 中已修改数据: (1) $48$; (2) 分布列为$\\begin{pmatrix}0 & 1 & 2 \\\\ \\dfrac{12}{19} & \\dfrac{32}{95} & \\dfrac 3{95}\\end{pmatrix}$, $E[X]=\\dfrac 25$; (3) $S=0.012<0.05$, 故本次测试对难度的预估是合理的\n",
+      "题号: 004617 , 字段: ans 中已修改数据: (1) $(a,b,c)=(9,6,6)$; (2) $\\begin{pmatrix}0 & 1 & 2 \\\\ \\dfrac 17 & \\dfrac 47 & \\dfrac 27\\end{pmatrix}$\n",
+      "题号: 004618 , 字段: ans 中已修改数据: (1) 约$400$名; (2) $0.49$; (3) 分布列为$\\begin{pmatrix}0 & 1 & 2 & 3 \\\\ \\dfrac 1{20} & \\dfrac 9{20} & \\dfrac 9{20} & \\dfrac 1{20}\\end{pmatrix}$, $E[X]=\\dfrac 32$\n"
      ]
     }
    ],
diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt
index f42a380c..8ad8e9d1 100644
--- a/工具/文本文件/metadata.txt
+++ b/工具/文本文件/metadata.txt
@@ -1,365 +1,71 @@
-usages
+ans
 
-002623
-20221208	2023届高三10班	0.800
+9876
+(1) $27$; (2) $86$; (3) $13$
 
-003764
-20221208	2023届高三10班	1.000
+030075
+$\dfrac{\sqrt{3}}4R^2$
 
-007575
-20221208	2023届高三10班	0.800
+004596
+$-\dfrac 13$, $\dfrac{13}6$
 
-007528
-20221208	2023届高三10班	0.714
+004597
+(1) $26.5$; (2) 分布列为$\begin{pmatrix} 0 & 1 & 2 & 3 & 4 \\ \dfrac 1{16} & \dfrac 4{16} & \dfrac 6{16} & \dfrac 4{16} & \dfrac 1{16}\end{pmatrix}$, 期望为$2$
 
-030495
-20221208	2023届高三10班	0.629
+004598
+(1) 调整前的平均利润为$5000$元每天, 调整后的平均利润为$15000$元每天, 因此调整后的平均利润比调整前更多; (2) 应定价为每张$13$元
 
-007630
-20221208	2023届高三10班	0.971
+004599
+(1) $\begin{pmatrix} 0 & 1 & 2 & 3 & 4 & 5 & 6\\ 0.01 & 0.04 & 0.12 & 0.22 & 0.28 & 0.24 & 0.09 \end{pmatrix}$; (2) 方案一所需费用的期望为$10720$元, 方案二所需费用的期望为$10420$元, 因此选择第二种延保方案更合算
 
-004342
-20221208	2023届高三10班	0.943
+004600
+$\dfrac{5}{9}$, $\dfrac{5}{36}$
 
-007535
-20221208	2023届高三10班	0.629
+004601
+(1) $\dfrac 35$; (2) 分布列为$\begin{pmatrix}    0 & 1 & 2 \\ \dfrac 25 & \dfrac 25 & \dfrac 15\end{pmatrix}$, $E[X]=\dfrac 45$, $D[X]=\dfrac{14}{25}$
 
-007539
-20221208	2023届高三10班	0.829
+004602
+(1) $\dfrac 5{12}$; (2) 分布列为$\begin{pmatrix}   0 & 40 & 80 & 120 & 160 \\ \dfrac 1{24} & \dfrac 14 & \dfrac 5{12} & \dfrac 14 & \dfrac 1{24}\end{pmatrix}$, $E[X]=80$, $D[X]=\dfrac{4000}3$
 
-007643
-20221208	2023届高三10班	0.771
 
-004030
-20221208	2023届高三10班	0.400
+004603
+$\dfrac 2{27}$
 
-002623
-20221208	2023届高三11班	0.818
+004604
+$6$
 
-003764
-20221208	2023届高三11班	0.955
+004605
+$\dfrac{20}{243}$
 
-007575
-20221208	2023届高三11班	0.727
+004606
+(1) 分布列为$\begin{pmatrix} 0 & 1 & 2 & 3 \\ 0.2p^2-0.4p+0.2 & 0.4p^2-1.2p+0.8 & -1.4p^2+1.6p & 0.8p^2\end{pmatrix}$, $E[X]=2p+0.8$; (2) $0.96$, $700$棵
 
-007528
-20221208	2023届高三11班	0.773
+004607
+(1) $\begin{pmatrix} 0 & 1 & 2 & 3 \\ \dfrac{729}{1000} & \dfrac{243}{1000} & \dfrac{27}{1000} & \dfrac 1{1000}\end{pmatrix}$; (2) 一轮游戏获得的分数$Y$的期望$E[Y]=-1.69<0$, 所以许多人的分数没有增加反而减少了
 
-030495
-20221208	2023届高三11班	0.591
+004608
+(1) 当$n=5$或$6$时, 有$3$个坑需要补种的概率最大, 最大概率为$\dfrac 5{16}$; (2) 分布列为$\begin{pmatrix}0 & 1 & 2 & 3 & 4 \\ \dfrac 1{16} & \dfrac 14 & \dfrac 38 & \dfrac 14 & \dfrac 1{16}\end{pmatrix}$, $E[X]=2$
 
-007630
-20221208	2023届高三11班	0.818
+004611
+(1) $20p$; (2) $3.2p-1.2$; (3) 当$p\in (0,\dfrac 34]$时, 应选择第一个项目(期望更高, 或者期望相同的情况下方差更低), 当$p\in (\dfrac 34,1)$时, 应选择第二个项目
 
-004342
-20221208	2023届高三11班	0.636
+004612
+$\dfrac {43}{138}$
 
-007535
-20221208	2023届高三11班	0.409
+004613
+$\dfrac{56}{165}$
 
-007539
-20221208	2023届高三11班	0.727
+004614
+$0.042$
 
-007643
-20221208	2023届高三11班	0.409
+004615
+(1) $0.191$; (2) $\dfrac 53$
 
-004030
-20221208	2023届高三11班	0.318
+004616
+(1) $48$; (2) 分布列为$\begin{pmatrix}0 & 1 & 2 \\ \dfrac{12}{19} & \dfrac{32}{95} & \dfrac 3{95}\end{pmatrix}$, $E[X]=\dfrac 25$; (3) $S=0.012<0.05$, 故本次测试对难度的预估是合理的
 
-002623
-20221208	2023届高三12班	0.917
-
-003764
-20221208	2023届高三12班	1.000
-
-007575
-20221208	2023届高三12班	0.833
-
-007528
-20221208	2023届高三12班	0.792
-
-030495
-20221208	2023届高三12班	0.750
-
-007630
-20221208	2023届高三12班	0.917
-
-004342
-20221208	2023届高三12班	0.875
-
-007535
-20221208	2023届高三12班	0.750
-
-007539
-20221208	2023届高三12班	0.792
-
-007643
-20221208	2023届高三12班	0.500
-
-004030
-20221208	2023届高三12班	0.292
-
-002623
-20221208	2023届高三01班	0.840
-
-003764
-20221208	2023届高三01班	1.000
-
-007575
-20221208	2023届高三01班	1.000
-
-007528
-20221208	2023届高三01班	0.960
-
-030495
-20221208	2023届高三01班	0.480
-
-007630
-20221208	2023届高三01班	0.920
-
-004342
-20221208	2023届高三01班	0.800
-
-007535
-20221208	2023届高三01班	0.880
-
-007539
-20221208	2023届高三01班	0.920
-
-007643
-20221208	2023届高三01班	0.800
-
-004030
-20221208	2023届高三01班	0.880
-
-002623
-20221208	2023届高三03班	0.923
-
-003764
-20221208	2023届高三03班	1.000
-
-007575
-20221208	2023届高三03班	0.846
-
-007528
-20221208	2023届高三03班	0.885
-
-030495
-20221208	2023届高三03班	0.577
-
-007630
-20221208	2023届高三03班	0.731
-
-004342
-20221208	2023届高三03班	0.808
-
-007535
-20221208	2023届高三03班	0.846
-
-007539
-20221208	2023届高三03班	0.808
-
-007643
-20221208	2023届高三03班	0.615
-
-004030
-20221208	2023届高三03班	0.692
-
-002623
-20221208	2023届高三04班	0.923
-
-003764
-20221208	2023届高三04班	1.000
-
-007575
-20221208	2023届高三04班	0.885
-
-007528
-20221208	2023届高三04班	0.538
-
-030495
-20221208	2023届高三04班	0.308
-
-007630
-20221208	2023届高三04班	0.654
-
-004342
-20221208	2023届高三04班	0.846
-
-007535
-20221208	2023届高三04班	0.808
-
-007539
-20221208	2023届高三04班	0.654
-
-007643
-20221208	2023届高三04班	0.115
-
-004030
-20221208	2023届高三04班	0.615
-
-002623
-20221208	2023届高三05班	0.897
-
-003764
-20221208	2023届高三05班	0.974
-
-007575
-20221208	2023届高三05班	0.872
-
-007528
-20221208	2023届高三05班	0.744
-
-030495
-20221208	2023届高三05班	0.821
-
-007630
-20221208	2023届高三05班	0.949
-
-004342
-20221208	2023届高三05班	0.923
-
-007535
-20221208	2023届高三05班	0.795
-
-007539
-20221208	2023届高三05班	0.846
-
-007643
-20221208	2023届高三05班	0.769
-
-004030
-20221208	2023届高三05班	0.487
-
-002623
-20221208	2023届高三06班	0.949
-
-003764
-20221208	2023届高三06班	1.000
-
-007575
-20221208	2023届高三06班	0.795
-
-007528
-20221208	2023届高三06班	0.692
-
-030495
-20221208	2023届高三06班	0.538
-
-007630
-20221208	2023届高三06班	0.923
-
-004342
-20221208	2023届高三06班	0.949
-
-007535
-20221208	2023届高三06班	0.795
-
-007539
-20221208	2023届高三06班	0.846
-
-007643
-20221208	2023届高三06班	0.872
-
-004030
-20221208	2023届高三06班	0.564
-
-002623
-20221208	2023届高三07班	0.929
-
-003764
-20221208	2023届高三07班	0.964
-
-007575
-20221208	2023届高三07班	0.929
-
-007528
-20221208	2023届高三07班	0.679
-
-030495
-20221208	2023届高三07班	0.179
-
-007630
-20221208	2023届高三07班	0.857
-
-004342
-20221208	2023届高三07班	0.857
-
-007535
-20221208	2023届高三07班	0.714
-
-007539
-20221208	2023届高三07班	0.750
-
-007643
-20221208	2023届高三07班	0.107
-
-004030
-20221208	2023届高三07班	0.607
-
-002623
-20221208	2023届高三08班	0.857
-
-003764
-20221208	2023届高三08班	1.000
-
-007575
-20221208	2023届高三08班	0.929
-
-007528
-20221208	2023届高三08班	0.750
-
-030495
-20221208	2023届高三08班	0.286
-
-007630
-20221208	2023届高三08班	0.714
-
-004342
-20221208	2023届高三08班	0.821
-
-007535
-20221208	2023届高三08班	0.536
-
-007539
-20221208	2023届高三08班	0.893
-
-007643
-20221208	2023届高三08班	0.500
-
-004030
-20221208	2023届高三08班	0.536
-
-002623
-20221208	2023届高三09班	0.857
-
-003764
-20221208	2023届高三09班	0.964
-
-007575
-20221208	2023届高三09班	0.821
-
-007528
-20221208	2023届高三09班	0.679
-
-030495
-20221208	2023届高三09班	0.536
-
-007630
-20221208	2023届高三09班	0.893
-
-004342
-20221208	2023届高三09班	0.643
-
-007535
-20221208	2023届高三09班	0.429
-
-007539
-20221208	2023届高三09班	0.714
-
-007643
-20221208	2023届高三09班	0.464
-
-004030
-20221208	2023届高三09班	0.143
+004617
+(1) $(a,b,c)=(9,6,6)$; (2) $\begin{pmatrix}0 & 1 & 2 \\ \dfrac 17 & \dfrac 47 & \dfrac 27\end{pmatrix}$
 
+004618
+(1) 约$400$名; (2) $0.49$; (3) 分布列为$\begin{pmatrix}0 & 1 & 2 & 3 \\ \dfrac 1{20} & \dfrac 9{20} & \dfrac 9{20} & \dfrac 1{20}\end{pmatrix}$, $E[X]=\dfrac 32$
\ No newline at end of file
diff --git a/工具/生成文件夹下的题号清单.ipynb b/工具/生成文件夹下的题号清单.ipynb
index ba43d07e..41241230 100644
--- a/工具/生成文件夹下的题号清单.ipynb
+++ b/工具/生成文件夹下的题号清单.ipynb
@@ -2,353 +2,468 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "example.tex\n",
-      "填空题\n",
-      "选择题\n",
-      "解答题\n",
-      "\n",
-      "\n",
-      "\n",
-      "基础考.tex\n",
-      "填空题\n",
-      "(012033)\n",
-      "(012034)\n",
-      "(012035)\n",
-      "(012036)\n",
-      "(012037)\n",
-      "(012038)\n",
-      "(012039)\n",
-      "(012040)\n",
-      "(012041)\n",
-      "(012042)\n",
-      "(012043)\n",
-      "(012044)\n",
-      "选择题\n",
-      "(012045)\n",
-      "(012046)\n",
-      "(012047)\n",
-      "(012048)\n",
-      "解答题\n",
-      "(012049)\n",
-      "(012050)\n",
-      "(012051)\n",
-      "(012052)\n",
-      "(012053)\n",
-      "\n",
-      "\n",
-      "\n",
-      "月考01.tex\n",
-      "填空题\n",
-      "(004080)\n",
-      "(004122)\n",
-      "(004312)\n",
-      "(004451)\n",
-      "(004557)\n",
-      "(004276)\n",
-      "(030019)\n",
-      "(004356)\n",
-      "(004320)\n",
-      "(004359)\n",
-      "(030020)\n",
-      "(004091)\n",
-      "选择题\n",
-      "(004400)\n",
-      "(008101)\n",
-      "(004157)\n",
-      "(004440)\n",
-      "解答题\n",
-      "(004370)\n",
-      "(004224)\n",
-      "(004328)\n",
-      "(004444)\n",
-      "(004247)\n",
-      "\n",
-      "\n",
-      "\n",
-      "测验01.tex\n",
-      "填空题\n",
-      "(004810)\n",
+      "前两单元简单题_2_学生用_20221021.tex\n",
+      "enumerate\n",
+      "(000020)\n",
+      "(000069)\n",
+      "(000362)\n",
+      "(000389)\n",
+      "(000431)\n",
+      "(000436)\n",
+      "(000474)\n",
+      "(000622)\n",
+      "(000738)\n",
+      "(000863)\n",
+      "(000884)\n",
+      "(001050)\n",
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+      "(001244)\n",
+      "(001300)\n",
+      "(001316)\n",
+      "(001324)\n",
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+      "(002746)\n",
+      "(002778)\n",
+      "(002785)\n",
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+      "(002847)\n",
+      "(002863)\n",
+      "(002871)\n",
+      "(002878)\n",
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+      "(002914)\n",
+      "(002994)\n",
+      "(003777)\n",
+      "(004409)\n",
+      "(004929)\n",
       "(005230)\n",
-      "(004108)\n",
-      "(004106)\n",
-      "(004949)\n",
-      "(007809)\n",
-      "(001339)\n",
-      "(020068)\n",
-      "选择题\n",
-      "(020081)\n",
+      "(005463)\n",
+      "(005508)\n",
+      "(005621)\n",
+      "(005720)\n",
+      "(007911)\n",
+      "(007941)\n",
+      "(008392)\n",
+      "(009490)\n",
+      "(009511)\n",
+      "(010114)\n",
+      "(010178)\n",
+      "(030076)\n",
+      "\n",
+      "\n",
+      "\n",
+      "前两单元简单题_学生用_20221013.tex\n",
+      "enumerate\n",
+      "(000033)\n",
+      "(000048)\n",
+      "(000049)\n",
+      "(000061)\n",
+      "(000326)\n",
+      "(000757)\n",
+      "(000924)\n",
+      "(001238)\n",
+      "(001245)\n",
+      "(001286)\n",
+      "(001292)\n",
+      "(001296)\n",
+      "(001314)\n",
+      "(001326)\n",
+      "(002697)\n",
+      "(002710)\n",
+      "(002772)\n",
+      "(002784)\n",
+      "(002793)\n",
+      "(002800)\n",
+      "(002833)\n",
+      "(002909)\n",
+      "(002925)\n",
+      "(002955)\n",
+      "(003041)\n",
+      "(003662)\n",
+      "(003815)\n",
+      "(003936)\n",
+      "(004080)\n",
+      "(004282)\n",
+      "(004312)\n",
+      "(004439)\n",
+      "(004878)\n",
+      "(005150)\n",
+      "(005199)\n",
+      "(005225)\n",
+      "(005300)\n",
+      "(005464)\n",
+      "(005568)\n",
+      "(005610)\n",
+      "(005723)\n",
+      "(007709)\n",
       "(007959)\n",
-      "解答题\n",
-      "(002859)\n",
-      "(011131)\n",
+      "(009468)\n",
+      "(009518)\n",
+      "(009530)\n",
+      "(009531)\n",
+      "(009532)\n",
+      "(010125)\n",
+      "(010137)\n",
+      "(020079)\n",
       "\n",
       "\n",
       "\n",
-      "测验02.tex\n",
-      "填空题\n",
-      "(000486)\n",
-      "(000498)\n",
-      "(000656)\n",
-      "(000558)\n",
-      "(004622)\n",
-      "(005584)\n",
-      "(010136)\n",
-      "(004412)\n",
-      "(010133)\n",
-      "(000555)\n",
-      "(000565)\n",
-      "(000824)\n",
-      "选择题\n",
-      "(005196)\n",
-      "(002853)\n",
-      "(005574)\n",
-      "(004385)\n",
-      "解答题\n",
-      "(002881)\n",
-      "(002903)\n",
-      "(002970)\n",
-      "(004680)\n",
-      "(004184)\n",
-      "\n",
-      "\n",
-      "\n",
-      "测验03.tex\n",
-      "填空题\n",
-      "(005888)\n",
-      "(004248)\n",
-      "(005943)\n",
-      "(030104)\n",
-      "(030102)\n",
-      "(030101)\n",
-      "(004322)\n",
-      "选择题\n",
-      "(006346)\n",
-      "(005993)\n",
-      "(006061)\n",
-      "解答题\n",
-      "(003627)\n",
-      "(030103)\n",
-      "\n",
-      "\n",
-      "\n",
-      "测验04.tex\n",
-      "填空题\n",
-      "(001506)\n",
-      "(004125)\n",
-      "(002027)\n",
-      "(030152)\n",
-      "(004414)\n",
-      "(001013)\n",
-      "(003798)\n",
-      "(001253)\n",
-      "(001510)\n",
-      "(001515)\n",
-      "(004111)\n",
-      "(030153)\n",
-      "选择题\n",
-      "(001993)\n",
-      "(004240)\n",
-      "(003645)\n",
-      "(004116)\n",
-      "解答题\n",
-      "(004636)\n",
-      "(001494)\n",
-      "(004098)\n",
-      "(004424)\n",
-      "(004509)\n",
-      "\n",
-      "\n",
-      "\n",
-      "测验05.tex\n",
-      "填空题\n",
-      "(003632)\n",
+      "必修内容较简单题_学生用_20221126.tex\n",
+      "enumerate\n",
+      "(000218)\n",
+      "(000226)\n",
+      "(000227)\n",
+      "(000229)\n",
+      "(000236)\n",
+      "(000348)\n",
+      "(000349)\n",
+      "(000357)\n",
+      "(000367)\n",
+      "(000368)\n",
+      "(000371)\n",
+      "(000377)\n",
+      "(000378)\n",
+      "(000383)\n",
+      "(000384)\n",
+      "(000386)\n",
+      "(000390)\n",
+      "(000411)\n",
+      "(000512)\n",
+      "(000685)\n",
+      "(000695)\n",
+      "(001134)\n",
+      "(001239)\n",
+      "(001643)\n",
+      "(001676)\n",
+      "(002874)\n",
+      "(003455)\n",
+      "(003501)\n",
       "(003636)\n",
-      "(004144)\n",
-      "(003986)\n",
-      "(004081)\n",
-      "(004124)\n",
       "(003658)\n",
+      "(003660)\n",
+      "(003787)\n",
+      "(003798)\n",
+      "(003841)\n",
+      "(003891)\n",
+      "(003986)\n",
+      "(004092)\n",
+      "(004124)\n",
+      "(004125)\n",
+      "(004144)\n",
+      "(004240)\n",
       "(004313)\n",
-      "(004278)\n",
-      "(004257)\n",
-      "(004153)\n",
-      "(004154)\n",
-      "选择题\n",
+      "(004324)\n",
+      "(004328)\n",
       "(004365)\n",
-      "(004420)\n",
+      "(004400)\n",
+      "(004414)\n",
+      "(004446)\n",
+      "(004447)\n",
+      "(004449)\n",
+      "(004451)\n",
+      "(004453)\n",
+      "(004454)\n",
+      "(004455)\n",
+      "(004458)\n",
       "(004460)\n",
-      "(004461)\n",
-      "解答题\n",
-      "(004485)\n",
-      "(030282)\n",
-      "(004763)\n",
-      "(004465)\n",
-      "(004466)\n",
-      "\n",
-      "\n",
-      "\n",
-      "测验06.tex\n",
-      "填空题\n",
-      "(030428)\n",
-      "(030449)\n",
-      "(030450)\n",
-      "(030431)\n",
-      "(030432)\n",
-      "(030433)\n",
-      "(030434)\n",
-      "(030435)\n",
-      "(030436)\n",
-      "(030437)\n",
-      "(030438)\n",
-      "(030439)\n",
-      "选择题\n",
-      "(030440)\n",
-      "(030441)\n",
-      "(030442)\n",
-      "(030443)\n",
-      "解答题\n",
-      "(030444)\n",
-      "(030445)\n",
-      "(030446)\n",
-      "\n",
-      "\n",
-      "\n",
-      "测验07.tex\n",
-      "填空题\n",
-      "(005304)\n",
       "(004468)\n",
       "(004469)\n",
       "(004470)\n",
       "(004471)\n",
-      "(004472)\n",
-      "(004473)\n",
-      "(030480)\n",
-      "(004475)\n",
-      "(004476)\n",
-      "(004477)\n",
-      "(004478)\n",
-      "选择题\n",
-      "(004479)\n",
       "(004480)\n",
-      "(004481)\n",
-      "(004482)\n",
-      "解答题\n",
-      "(004484)\n",
-      "(004485)\n",
-      "(004486)\n",
-      "\n",
-      "\n",
-      "\n",
-      "测验08.tex\n",
-      "填空题\n",
+      "(004557)\n",
+      "(004572)\n",
+      "(004573)\n",
+      "(004574)\n",
+      "(004576)\n",
+      "(004577)\n",
+      "(004579)\n",
+      "(004580)\n",
+      "(004581)\n",
+      "(004582)\n",
+      "(004587)\n",
+      "(004588)\n",
+      "(004589)\n",
+      "(004592)\n",
+      "(004594)\n",
+      "(004596)\n",
+      "(004597)\n",
+      "(004602)\n",
+      "(004603)\n",
+      "(004604)\n",
+      "(004605)\n",
+      "(004606)\n",
+      "(004612)\n",
+      "(004613)\n",
+      "(004614)\n",
+      "(004615)\n",
+      "(004647)\n",
+      "(005304)\n",
+      "(007379)\n",
+      "(008356)\n",
+      "(009349)\n",
+      "(009749)\n",
+      "(009751)\n",
+      "(009998)\n",
+      "(010006)\n",
+      "(010009)\n",
+      "(010014)\n",
+      "(010497)\n",
+      "(010501)\n",
+      "(010508)\n",
+      "(010553)\n",
+      "(010557)\n",
+      "(010923)\n",
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+      "(010925)\n",
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+      "(010928)\n",
+      "(010930)\n",
+      "(010932)\n",
+      "(010937)\n",
+      "(010946)\n",
+      "(010948)\n",
+      "(010952)\n",
+      "(010956)\n",
+      "(011049)\n",
+      "(011051)\n",
+      "(011052)\n",
+      "(011054)\n",
+      "(011056)\n",
+      "(011062)\n",
+      "(011063)\n",
+      "(011133)\n",
+      "(011134)\n",
+      "(011135)\n",
+      "(011136)\n",
+      "(011138)\n",
+      "(011142)\n",
+      "(011149)\n",
+      "(011995)\n",
       "(012054)\n",
       "(012055)\n",
-      "(012056)\n",
       "(012057)\n",
       "(012058)\n",
-      "(012059)\n",
       "(012060)\n",
       "(012061)\n",
-      "(012062)\n",
-      "(012063)\n",
-      "(012064)\n",
-      "(012065)\n",
-      "选择题\n",
       "(012066)\n",
-      "(012067)\n",
-      "(012068)\n",
-      "(012069)\n",
-      "解答题\n",
-      "(012070)\n",
-      "(012071)\n",
-      "(012072)\n",
-      "(012073)\n",
-      "(012074)\n",
+      "(030013)\n",
+      "(030017)\n",
+      "(030021)\n",
+      "(030031)\n",
+      "(030186)\n",
+      "(030190)\n",
+      "(030200)\n",
+      "(030211)\n",
+      "(030212)\n",
+      "(030215)\n",
+      "(030243)\n",
+      "(030246)\n",
+      "(030247)\n",
+      "(030263)\n",
+      "(030264)\n",
+      "(030276)\n",
+      "(030278)\n",
+      "(030432)\n",
+      "(030433)\n",
+      "(030434)\n",
+      "(030436)\n",
+      "(030440)\n",
+      "(030450)\n",
       "\n",
       "\n",
       "\n",
-      "测验09.tex\n",
-      "填空题\n",
-      "(012075)\n",
-      "(012076)\n",
-      "(012077)\n",
-      "(012078)\n",
-      "(012079)\n",
-      "(012080)\n",
-      "(012081)\n",
-      "(012082)\n",
-      "(012083)\n",
-      "(012084)\n",
-      "(012085)\n",
-      "(012086)\n",
-      "选择题\n",
-      "(012087)\n",
-      "(012088)\n",
-      "(012089)\n",
-      "(012090)\n",
-      "解答题\n",
-      "(012091)\n",
-      "(012092)\n",
-      "(012093)\n",
-      "(012094)\n",
-      "(012095)\n",
+      "必修前八单元简单题_学生用_20221111.tex\n",
+      "enumerate\n",
+      "(000054)\n",
+      "(000153)\n",
+      "(000163)\n",
+      "(000189)\n",
+      "(000197)\n",
+      "(000788)\n",
+      "(000792)\n",
+      "(000858)\n",
+      "(000871)\n",
+      "(000883)\n",
+      "(001120)\n",
+      "(001226)\n",
+      "(001305)\n",
+      "(001371)\n",
+      "(001597)\n",
+      "(001623)\n",
+      "(001649)\n",
+      "(001659)\n",
+      "(001848)\n",
+      "(001877)\n",
+      "(003179)\n",
+      "(003328)\n",
+      "(003332)\n",
+      "(003454)\n",
+      "(003466)\n",
+      "(003544)\n",
+      "(003875)\n",
+      "(003982)\n",
+      "(003996)\n",
+      "(004084)\n",
+      "(004167)\n",
+      "(004283)\n",
+      "(004768)\n",
+      "(004794)\n",
+      "(004928)\n",
+      "(006062)\n",
+      "(007314)\n",
+      "(007684)\n",
+      "(009137)\n",
+      "(009186)\n",
+      "(009227)\n",
+      "(009698)\n",
+      "(009720)\n",
+      "(010110)\n",
+      "(010454)\n",
+      "(010498)\n",
+      "(010500)\n",
+      "(010531)\n",
+      "(011332)\n",
+      "(011989)\n",
+      "(011990)\n",
+      "(011991)\n",
+      "(011992)\n",
+      "(011996)\n",
+      "(011997)\n",
+      "(012000)\n",
+      "(012001)\n",
+      "(012002)\n",
+      "(012009)\n",
+      "(012010)\n",
+      "(012013)\n",
+      "(012016)\n",
+      "(012017)\n",
+      "(012021)\n",
+      "(020065)\n",
+      "(030078)\n",
+      "(030087)\n",
+      "(030088)\n",
+      "(030089)\n",
+      "(030090)\n",
+      "(030091)\n",
+      "(030093)\n",
+      "(030095)\n",
+      "(030097)\n",
+      "(030116)\n",
+      "(030119)\n",
+      "(030120)\n",
+      "(030122)\n",
+      "(030128)\n",
+      "(030137)\n",
+      "(030145)\n",
+      "(030149)\n",
+      "(030151)\n",
       "\n",
       "\n",
       "\n",
-      "测验10.tex\n",
-      "填空题\n",
-      "(012096)\n",
-      "(012097)\n",
-      "(012098)\n",
-      "(012099)\n",
-      "(012100)\n",
-      "(012101)\n",
-      "(012102)\n",
-      "(012103)\n",
-      "(012104)\n",
-      "(012105)\n",
-      "(012106)\n",
-      "(012107)\n",
-      "选择题\n",
-      "(012108)\n",
-      "(012109)\n",
-      "(012110)\n",
-      "(012111)\n",
-      "解答题\n",
-      "(012112)\n",
-      "(012113)\n",
-      "(012114)\n",
-      "(012115)\n",
-      "(012116)\n",
+      "第三单元简单题_1.tex\n",
+      "enumerate\n",
+      "(000101)\n",
+      "(000431)\n",
+      "(001365)\n",
+      "(001480)\n",
+      "(001481)\n",
+      "(003056)\n",
+      "(003092)\n",
+      "(003095)\n",
+      "(003096)\n",
+      "(003097)\n",
+      "(003102)\n",
+      "(003105)\n",
+      "(003128)\n",
+      "(003130)\n",
+      "(003132)\n",
+      "(003139)\n",
+      "(003140)\n",
+      "(003142)\n",
+      "(003143)\n",
+      "(003168)\n",
+      "(004122)\n",
+      "(004248)\n",
+      "(004492)\n",
+      "(005888)\n",
+      "(005904)\n",
+      "(006115)\n",
+      "(006126)\n",
+      "(006129)\n",
+      "(006166)\n",
+      "(006177)\n",
+      "(006214)\n",
+      "(006264)\n",
+      "(006346)\n",
+      "(006414)\n",
+      "(006604)\n",
+      "(008106)\n",
+      "(008168)\n",
+      "(008200)\n",
+      "(008215)\n",
+      "(008312)\n",
+      "(009547)\n",
+      "(010210)\n",
+      "(010231)\n",
+      "(030019)\n",
+      "(030056)\n",
       "\n",
       "\n",
       "\n",
-      "线上测验01.tex\n",
-      "填空题\n",
-      "(000382)\n",
-      "(001997)\n",
+      "第三第五单元简单题_学生用_20221104.tex\n",
+      "enumerate\n",
+      "(001554)\n",
+      "(003183)\n",
+      "(000119)\n",
+      "(000347)\n",
+      "(001506)\n",
+      "(001510)\n",
+      "(004420)\n",
+      "(005899)\n",
+      "(000165)\n",
+      "(000168)\n",
+      "(000170)\n",
+      "(000339)\n",
+      "(000387)\n",
+      "(000481)\n",
+      "(000637)\n",
+      "(000894)\n",
+      "(001847)\n",
+      "(001852)\n",
+      "(001857)\n",
+      "(001858)\n",
+      "(001871)\n",
+      "(001992)\n",
       "(002011)\n",
+      "(002027)\n",
       "(002081)\n",
+      "(003345)\n",
+      "(003346)\n",
+      "(003355)\n",
+      "(003519)\n",
+      "(003520)\n",
+      "(003632)\n",
+      "(004081)\n",
       "(007042)\n",
-      "(030157)\n",
-      "(003841)\n",
-      "(030155)\n",
-      "(030154)\n",
-      "(003702)\n",
-      "选择题\n",
-      "(007065)\n",
-      "(002024)\n",
-      "解答题\n",
-      "(001884)\n",
-      "(001915)\n",
-      "(030156)\n",
+      "(030152)\n",
+      "(030169)\n",
+      "(030273)\n",
       "\n",
       "\n",
       "\n"
@@ -358,7 +473,7 @@
    "source": [
     "import os,re\n",
     "\"---此处输入文件夹名---\"\n",
-    "directory = r\"C:\\Users\\wang weiye\\Documents\\wwy sync\\23届\\上学期测验卷\"\n",
+    "directory = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\简单题\"\n",
     "\"---文件夹名输入结束---\"\n",
     "\n",
     "filelist = [filename for filename in os.listdir(directory) if \".tex\" in filename]\n",
@@ -407,7 +522,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.9.7 ('base')",
+   "display_name": "Python 3.8.15 ('mathdept')",
    "language": "python",
    "name": "python3"
   },
@@ -421,12 +536,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.7"
+   "version": "3.8.15"
   },
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba"
+    "hash": "42dd566da87765ddbe9b5c5b483063747fec4aacc5469ad554706e4b742e67b2"
    }
   }
  },
diff --git a/工具/题号选题pdf生成.ipynb b/工具/题号选题pdf生成.ipynb
index 50a53343..29feb843 100644
--- a/工具/题号选题pdf生成.ipynb
+++ b/工具/题号选题pdf生成.ipynb
@@ -2,16 +2,16 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "开始编译教师版本pdf文件:  临时文件/题库_教师用_20221208.tex\n",
+      "开始编译教师版本pdf文件:  临时文件/临时_教师用_20221209.tex\n",
       "0\n",
-      "开始编译学生版本pdf文件:  临时文件/题库_学生用_20221208.tex\n",
+      "开始编译学生版本pdf文件:  临时文件/临时_学生用_20221209.tex\n",
       "0\n"
      ]
     }
@@ -26,6 +26,7 @@
     "\"\"\"---设置题目列表---\"\"\"\n",
     "#留空为编译全题库, a为读取临时文件中的题号筛选.txt文件生成题库\n",
     "problems = r\"\"\"\n",
+    "004596,004597,004598,004599,004600,004601,004602,004603,004604,004605,004606,004607,004608,004611,004612,004613,004614,004615,004616,004617,004618\n",
     "\n",
     "\n",
     "\"\"\"\n",
@@ -33,7 +34,7 @@
     "\n",
     "\"\"\"---设置文件名---\"\"\"\n",
     "#目录和文件的分隔务必用/\n",
-    "filename = \"临时文件/题库\"\n",
+    "filename = \"临时文件/临时\"\n",
     "\"\"\"---设置文件名结束---\"\"\"\n",
     "\n",
     "\n",
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 65de039a..512dd520 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -53398,7 +53398,7 @@
             "空间向量"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $5$; (2) $\\arccos\\dfrac{23\\sqrt{7}}{70}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -53541,7 +53541,7 @@
             "空间向量"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{(\\overrightarrow{a}\\cdot \\overrightarrow{c})\\overrightarrow{b}^2-(\\overrightarrow{b}\\cdot \\overrightarrow{c})(\\overrightarrow{a}\\cdot \\overrightarrow{b})}{\\overrightarrow{a}^2\\overrightarrow{b}^2-(\\overrightarrow{a}\\cdot\\overrightarrow{b})^2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -53609,7 +53609,7 @@
             "空间向量"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\overrightarrow{AG}=\\dfrac 13 \\overrightarrow{a}+\\dfrac 13\\overrightarrow{b}+\\dfrac 13 \\overrightarrow {c}$; (2) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -53645,7 +53645,7 @@
             "空间向量"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -53680,7 +53680,7 @@
             "空间向量"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -53878,7 +53878,7 @@
             "空间向量"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac 3{13},\\dfrac 4{13},\\dfrac{12}{13})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -53919,7 +53919,7 @@
             "空间向量"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac{20}3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -53978,7 +53978,7 @@
             "空间向量"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-2,3,0)$或$(4,-1,-2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -54017,7 +54017,7 @@
             "空间向量"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(\\dfrac{4\\sqrt{21}}{21},\\dfrac{2\\sqrt{21}}{21},\\dfrac{\\sqrt{21}}{21})$或$(-\\dfrac{4\\sqrt{21}}{21},-\\dfrac{2\\sqrt{21}}{21},-\\dfrac{\\sqrt{21}}{21})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -54212,7 +54212,7 @@
             "空间向量"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(9,0,11)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -54334,7 +54334,7 @@
             "空间向量"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac 15,4)\\cup (4,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -98912,7 +98912,7 @@
             "空间向量"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-4,3,2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119088,7 +119088,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{-2,-1\\}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119127,7 +119127,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(1,2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119173,7 +119173,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$36\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119211,7 +119211,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1+\\mathrm{i}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119252,7 +119252,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119288,7 +119288,7 @@
             "组合"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{45}{56}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119355,7 +119355,7 @@
             "二项式定理"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$60$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119395,7 +119395,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$a_n=1-3^n$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119430,7 +119430,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119465,7 +119465,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119500,7 +119500,7 @@
             "第六单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119535,7 +119535,7 @@
             "第九单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119570,7 +119570,7 @@
             "第五单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119605,7 +119605,7 @@
             "第六单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119666,7 +119666,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $9\\sqrt{3}$; (2) $\\arccos \\dfrac 3{10}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -119749,7 +119749,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 约为$6.7^\\circ$; (2) 最小值为$256$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -122746,7 +122746,7 @@
             "概率"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac 13$, $\\dfrac{13}6$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -122773,7 +122773,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $26.5$; (2) 分布列为$\\begin{pmatrix} 0 & 1 & 2 & 3 & 4 \\\\ \\dfrac 1{16} & \\dfrac 4{16} & \\dfrac 6{16} & \\dfrac 4{16} & \\dfrac 1{16}\\end{pmatrix}$, 期望为$2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -122798,7 +122798,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 调整前的平均利润为$5000$元每天, 调整后的平均利润为$15000$元每天, 因此调整后的平均利润比调整前更多; (2) 应定价为每张$13$元",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -122823,7 +122823,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\begin{pmatrix} 0 & 1 & 2 & 3 & 4 & 5 & 6\\\\ 0.01 & 0.04 & 0.12 & 0.22 & 0.28 & 0.24 & 0.09 \\end{pmatrix}$; (2) 方案一所需费用的期望为$10720$元, 方案二所需费用的期望为$10420$元, 因此选择第二种延保方案更合算",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -122848,7 +122848,7 @@
             "概率"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{5}{9}$, $\\dfrac{5}{36}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -122874,7 +122874,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac 35$; (2) 分布列为$\\begin{pmatrix}    0 & 1 & 2 \\\\ \\dfrac 25 & \\dfrac 25 & \\dfrac 15\\end{pmatrix}$, $E[X]=\\dfrac 45$, $D[X]=\\dfrac{14}{25}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -122898,7 +122898,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac 5{12}$; (2) 分布列为$\\begin{pmatrix}   0 & 40 & 80 & 120 & 160 \\\\ \\dfrac 1{24} & \\dfrac 14 & \\dfrac 5{12} & \\dfrac 14 & \\dfrac 1{24}\\end{pmatrix}$, $E[X]=80$, $D[X]=\\dfrac{4000}3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -122922,7 +122922,7 @@
             "概率"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 2{27}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -122946,7 +122946,7 @@
             "概率"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$6$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -122970,7 +122970,7 @@
             "概率"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{20}{243}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -122994,7 +122994,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 分布列为$\\begin{pmatrix} 0 & 1 & 2 & 3 \\\\ 0.2p^2-0.4p+0.2 & 0.4p^2-1.2p+0.8 & -1.4p^2+1.6p & 0.8p^2\\end{pmatrix}$, $E[X]=2p+0.8$; (2) $0.96$, $700$棵",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -123018,7 +123018,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\begin{pmatrix} 0 & 1 & 2 & 3 \\\\ \\dfrac{729}{1000} & \\dfrac{243}{1000} & \\dfrac{27}{1000} & \\dfrac 1{1000}\\end{pmatrix}$; (2) 一轮游戏获得的分数$Y$的期望$E[Y]=-1.69<0$, 所以许多人的分数没有增加反而减少了",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -123042,7 +123042,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 当$n=5$或$6$时, 有$3$个坑需要补种的概率最大, 最大概率为$\\dfrac 5{16}$; (2) 分布列为$\\begin{pmatrix}0 & 1 & 2 & 3 & 4 \\\\ \\dfrac 1{16} & \\dfrac 14 & \\dfrac 38 & \\dfrac 14 & \\dfrac 1{16}\\end{pmatrix}$, $E[X]=2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -123110,7 +123110,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $20p$; (2) $3.2p-1.2$; (3) 当$p\\in (0,\\dfrac 34]$时, 应选择第一个项目(期望更高, 或者期望相同的情况下方差更低), 当$p\\in (\\dfrac 34,1)$时, 应选择第二个项目",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -123136,7 +123136,7 @@
             "概率"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac {43}{138}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -123160,7 +123160,7 @@
             "概率"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{56}{165}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -123184,7 +123184,7 @@
             "概率"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0.042$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -123208,7 +123208,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $0.191$; (2) $\\dfrac 53$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -123232,7 +123232,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $48$; (2) 分布列为$\\begin{pmatrix}0 & 1 & 2 \\\\ \\dfrac{12}{19} & \\dfrac{32}{95} & \\dfrac 3{95}\\end{pmatrix}$, $E[X]=\\dfrac 25$; (3) $S=0.012<0.05$, 故本次测试对难度的预估是合理的",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -123256,7 +123256,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(a,b,c)=(9,6,6)$; (2) $\\begin{pmatrix}0 & 1 & 2 \\\\ \\dfrac 17 & \\dfrac 47 & \\dfrac 27\\end{pmatrix}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -123280,7 +123280,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 约$400$名; (2) $0.49$; (3) 分布列为$\\begin{pmatrix}0 & 1 & 2 & 3 \\\\ \\dfrac 1{20} & \\dfrac 9{20} & \\dfrac 9{20} & \\dfrac 1{20}\\end{pmatrix}$, $E[X]=\\dfrac 32$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -140174,7 +140174,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-1,1]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -243498,7 +243498,7 @@
             "概率"
         ],
         "genre": "填空题",
-        "ans": "$0.12$",
+        "ans": "$0.18$, $0.12$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -246144,7 +246144,7 @@
             "空间向量"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac 12 a^2$, $-\\dfrac 14 a^2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -246205,7 +246205,7 @@
             "空间向量"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 假命题, 理由略; (2) 假命题, 理由略; (3) 真命题, 理由略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -246597,7 +246597,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $27$; (2) $86$; (3) $13$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -266449,7 +266449,7 @@
             "空间向量"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -266482,7 +266482,7 @@
             "空间向量"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac 12 \\overrightarrow{a}+\\dfrac 12\\overrightarrow{b}+\\dfrac 12 \\overrightarrow {c}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -266950,7 +266950,7 @@
             "空间向量"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -275980,7 +275980,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,0)\\cup (1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276022,7 +276022,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac 12,0)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276089,7 +276089,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\dfrac 35,-\\dfrac 45)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276123,7 +276123,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$12$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276155,7 +276155,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\pm 4\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276189,7 +276189,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-5,3]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276222,7 +276222,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276256,7 +276256,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$8$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276290,7 +276290,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac 32,2)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276345,7 +276345,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[-2,6)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276377,7 +276377,7 @@
             "第一单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276409,7 +276409,7 @@
             "第五单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276441,7 +276441,7 @@
             "第四单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276474,7 +276474,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276506,7 +276506,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) $\\arctan \\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276538,7 +276538,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{24\\sqrt{3}-32}{25}$; (2) 单调递增区间为$[-\\dfrac\\pi 6,\\dfrac\\pi 6]$, 值域为$[-2,1]$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276570,7 +276570,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) $(q,r)=(3,5)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -276602,7 +276602,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\arccos\\dfrac 17$; (2) $\\dfrac{x^2}{27/8}-\\dfrac{y^2}{27/5}=1$; (3) 恒经过两个定点$(-\\dfrac 12,0)$与$(\\dfrac 52,0)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -308433,7 +308433,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{3}}4R^2$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -318866,7 +318866,7 @@
             "空间向量"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{1}\\textcircled{3}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -318955,7 +318955,7 @@
             "空间向量"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{\\sqrt{3}}2$; (2) 投影为$(-\\dfrac 12,0,0)$, 数量投影为$-\\dfrac 12$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -319150,7 +319150,7 @@
             "空间向量"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 18$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -319315,7 +319315,7 @@
             "空间向量"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{11}8$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -319637,7 +319637,7 @@
             "空间向量"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(1,0,\\sqrt{2})$或$(1,0,-\\sqrt{2})$",
         "solution": "",
         "duration": -1,
         "usages": [