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 94cf4c7a..9d9b8196 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": 1,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
@@ -11,7 +11,7 @@
        "0"
       ]
      },
-     "execution_count": 1,
+     "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 = \"003683,003698,011567,013880\"\n",
+    "problems = \"31303\"\n",
     "\n",
     "def generate_number_set(string,dict):\n",
     "    string = re.sub(r\"[\\n\\s]\",\"\",string)\n",
@@ -51,7 +51,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 71,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
diff --git a/工具/分年级专用工具/小闲平台作业测验数据导入_2023届.ipynb b/工具/分年级专用工具/小闲平台作业测验数据导入_2023届.ipynb
index c4395aec..662692ea 100644
--- a/工具/分年级专用工具/小闲平台作业测验数据导入_2023届.ipynb
+++ b/工具/分年级专用工具/小闲平台作业测验数据导入_2023届.ipynb
@@ -2,23 +2,9 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 1,
    "metadata": {},
-   "outputs": [
-    {
-     "ename": "KeyboardInterrupt",
-     "evalue": "Interrupted by user",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[1;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
-      "Cell \u001b[1;32mIn[2], line 31\u001b[0m\n\u001b[0;32m     29\u001b[0m problems_indexes \u001b[39m=\u001b[39m \u001b[39mlist\u001b[39m(df[df\u001b[39m.\u001b[39mcolumns[\u001b[39m0\u001b[39m]][\u001b[39m2\u001b[39m:])\n\u001b[0;32m     30\u001b[0m \u001b[39mfor\u001b[39;00m p \u001b[39min\u001b[39;00m problems_indexes:\n\u001b[1;32m---> 31\u001b[0m     t \u001b[39m=\u001b[39m \u001b[39minput\u001b[39;49m(\u001b[39m\"\u001b[39;49m\u001b[39m答题纸区域\u001b[39;49m\u001b[39m\"\u001b[39;49m\u001b[39m+\u001b[39;49mp\u001b[39m+\u001b[39;49m\u001b[39m\"\u001b[39;49m\u001b[39m的题号为(1-\u001b[39;49m\u001b[39m\"\u001b[39;49m\u001b[39m+\u001b[39;49m\u001b[39mstr\u001b[39;49m(\u001b[39mlen\u001b[39;49m(problems_list))\u001b[39m+\u001b[39;49m\u001b[39m\"\u001b[39;49m\u001b[39m, a为自动对应点前的题号):\u001b[39;49m\u001b[39m\"\u001b[39;49m)\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",
-      "File \u001b[1;32mc:\\Users\\weiye\\.conda\\envs\\mathdept\\lib\\site-packages\\ipykernel\\kernelbase.py:1175\u001b[0m, in \u001b[0;36mKernel.raw_input\u001b[1;34m(self, prompt)\u001b[0m\n\u001b[0;32m   1171\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mnot\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_allow_stdin:\n\u001b[0;32m   1172\u001b[0m     \u001b[39mraise\u001b[39;00m StdinNotImplementedError(\n\u001b[0;32m   1173\u001b[0m         \u001b[39m\"\u001b[39m\u001b[39mraw_input was called, but this frontend does not support input requests.\u001b[39m\u001b[39m\"\u001b[39m\n\u001b[0;32m   1174\u001b[0m     )\n\u001b[1;32m-> 1175\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49m_input_request(\n\u001b[0;32m   1176\u001b[0m     \u001b[39mstr\u001b[39;49m(prompt),\n\u001b[0;32m   1177\u001b[0m     \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49m_parent_ident[\u001b[39m\"\u001b[39;49m\u001b[39mshell\u001b[39;49m\u001b[39m\"\u001b[39;49m],\n\u001b[0;32m   1178\u001b[0m     \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mget_parent(\u001b[39m\"\u001b[39;49m\u001b[39mshell\u001b[39;49m\u001b[39m\"\u001b[39;49m),\n\u001b[0;32m   1179\u001b[0m     password\u001b[39m=\u001b[39;49m\u001b[39mFalse\u001b[39;49;00m,\n\u001b[0;32m   1180\u001b[0m )\n",
-      "File \u001b[1;32mc:\\Users\\weiye\\.conda\\envs\\mathdept\\lib\\site-packages\\ipykernel\\kernelbase.py:1217\u001b[0m, in \u001b[0;36mKernel._input_request\u001b[1;34m(self, prompt, ident, parent, password)\u001b[0m\n\u001b[0;32m   1214\u001b[0m             \u001b[39mbreak\u001b[39;00m\n\u001b[0;32m   1215\u001b[0m \u001b[39mexcept\u001b[39;00m \u001b[39mKeyboardInterrupt\u001b[39;00m:\n\u001b[0;32m   1216\u001b[0m     \u001b[39m# re-raise KeyboardInterrupt, to truncate traceback\u001b[39;00m\n\u001b[1;32m-> 1217\u001b[0m     \u001b[39mraise\u001b[39;00m \u001b[39mKeyboardInterrupt\u001b[39;00m(\u001b[39m\"\u001b[39m\u001b[39mInterrupted by user\u001b[39m\u001b[39m\"\u001b[39m) \u001b[39mfrom\u001b[39;00m \u001b[39mNone\u001b[39m\n\u001b[0;32m   1218\u001b[0m \u001b[39mexcept\u001b[39;00m \u001b[39mException\u001b[39;00m:\n\u001b[0;32m   1219\u001b[0m     \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mlog\u001b[39m.\u001b[39mwarning(\u001b[39m\"\u001b[39m\u001b[39mInvalid Message:\u001b[39m\u001b[39m\"\u001b[39m, exc_info\u001b[39m=\u001b[39m\u001b[39mTrue\u001b[39;00m)\n",
-      "\u001b[1;31mKeyboardInterrupt\u001b[0m: Interrupted by user"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "import zipfile,os,re,time\n",
     "import pandas as pd\n",
@@ -113,7 +99,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.15"
+   "version": "3.9.15"
   },
   "orig_nbformat": 4,
   "vscode": {
diff --git a/工具/寻找阶段末尾空闲题号.ipynb b/工具/寻找阶段末尾空闲题号.ipynb
index 20794d54..8474a3e9 100644
--- a/工具/寻找阶段末尾空闲题号.ipynb
+++ b/工具/寻找阶段末尾空闲题号.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [
     {
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 c58fa37a..69b8ccd3 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
@@ -2,35 +2,265 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "题号: 010168 , 字段: usages 中已添加数据: 20230200\t2025届高一11班\t0.977\t0.954\t1.000\t0.767\n",
-      "题号: 010169 , 字段: usages 中已添加数据: 20230200\t2025届高一11班\t0.977\n",
-      "题号: 010170 , 字段: usages 中已添加数据: 20230200\t2025届高一11班\t0.884\t1.000\t0.861\n",
-      "题号: 010171 , 字段: usages 中已添加数据: 20230200\t2025届高一11班\t0.302\t0.791\n",
-      "题号: 010172 , 字段: usages 中已添加数据: 20230200\t2025届高一11班\t1.000\t0.721\t0.861\n",
-      "题号: 010173 , 字段: usages 中已添加数据: 20230200\t2025届高一11班\t0.791\n",
-      "题号: 010176 , 字段: usages 中已添加数据: 20230200\t2025届高一11班\t1.000\t0.861\t0.977\t0.977\n",
-      "题号: 010182 , 字段: usages 中已添加数据: 20230200\t2025届高一11班\t1.000\n",
-      "题号: 010184 , 字段: usages 中已添加数据: 20230200\t2025届高一11班\t0.954\n",
-      "题号: 010183 , 字段: usages 中已添加数据: 20230200\t2025届高一11班\t0.977\t0.961\n",
-      "题号: 010185 , 字段: usages 中已添加数据: 20230200\t2025届高一11班\t0.954\t1.000\t0.930\t0.977\t0.791\t0.907\n",
-      "题号: 010168 , 字段: usages 中已添加数据: 20230200\t2025届高一12班\t0.972\t0.917\t0.972\t0.722\n",
-      "题号: 010169 , 字段: usages 中已添加数据: 20230200\t2025届高一12班\t0.944\n",
-      "题号: 010170 , 字段: usages 中已添加数据: 20230200\t2025届高一12班\t0.861\t0.917\t0.861\n",
-      "题号: 010171 , 字段: usages 中已添加数据: 20230200\t2025届高一12班\t0.472\t0.722\n",
-      "题号: 010172 , 字段: usages 中已添加数据: 20230200\t2025届高一12班\t1.000\t0.972\t1.000\n",
-      "题号: 010173 , 字段: usages 中已添加数据: 20230200\t2025届高一12班\t0.889\n",
-      "题号: 010176 , 字段: usages 中已添加数据: 20230200\t2025届高一12班\t1.000\t0.917\t0.972\t1.000\n",
-      "题号: 010182 , 字段: usages 中已添加数据: 20230200\t2025届高一12班\t1.000\n",
-      "题号: 010184 , 字段: usages 中已添加数据: 20230200\t2025届高一12班\t0.972\n",
-      "题号: 010183 , 字段: usages 中已添加数据: 20230200\t2025届高一12班\t0.972\t0.806\n",
-      "题号: 010185 , 字段: usages 中已添加数据: 20230200\t2025届高一12班\t1.000\t1.000\t0.972\t1.000\t1.000\t1.000\n"
+      "题号: 003675 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.921\n",
+      "题号: 012165 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t1.000\n",
+      "题号: 004252 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.842\n",
+      "题号: 031239 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.895\n",
+      "题号: 031238 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.421\n",
+      "题号: 031266 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.842\n",
+      "题号: 031240 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.947\n",
+      "题号: 031237 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.605\n",
+      "题号: 004256 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.026\n",
+      "题号: 004499 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.342\n",
+      "题号: 004132 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.263\n",
+      "题号: 004217 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.132\n",
+      "题号: 008972 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.947\n",
+      "题号: 009082 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.632\n",
+      "题号: 012445 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.684\n",
+      "题号: 030691 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.368\n",
+      "题号: 010000 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.874\n",
+      "题号: 011301 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.913\n",
+      "题号: 003691 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.660\n",
+      "题号: 011450 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.281\n",
+      "题号: 031236 , 字段: usages 中已添加数据: 20230308\t2023届高三10班\t0.248\n",
+      "题号: 003675 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.917\n",
+      "题号: 012165 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.958\n",
+      "题号: 004252 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.958\n",
+      "题号: 031239 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.833\n",
+      "题号: 031238 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.250\n",
+      "题号: 031266 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.833\n",
+      "题号: 031240 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.917\n",
+      "题号: 031237 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.583\n",
+      "题号: 004256 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.042\n",
+      "题号: 004499 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.542\n",
+      "题号: 004132 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.333\n",
+      "题号: 004217 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.042\n",
+      "题号: 008972 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t1.000\n",
+      "题号: 009082 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.500\n",
+      "题号: 012445 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.625\n",
+      "题号: 030691 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.208\n",
+      "题号: 010000 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.845\n",
+      "题号: 011301 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.839\n",
+      "题号: 003691 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.667\n",
+      "题号: 011450 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.227\n",
+      "题号: 031236 , 字段: usages 中已添加数据: 20230308\t2023届高三11班\t0.225\n",
+      "题号: 003675 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t1.000\n",
+      "题号: 012165 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t1.000\n",
+      "题号: 004252 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.957\n",
+      "题号: 031239 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.913\n",
+      "题号: 031238 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.261\n",
+      "题号: 031266 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.783\n",
+      "题号: 031240 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.957\n",
+      "题号: 031237 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.522\n",
+      "题号: 004256 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.087\n",
+      "题号: 004499 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.478\n",
+      "题号: 004132 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.304\n",
+      "题号: 004217 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.130\n",
+      "题号: 008972 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.957\n",
+      "题号: 009082 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.609\n",
+      "题号: 012445 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.652\n",
+      "题号: 030691 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.522\n",
+      "题号: 010000 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.761\n",
+      "题号: 011301 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.820\n",
+      "题号: 003691 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.537\n",
+      "题号: 011450 , 字段: usages 中已添加数据: 20230308\t2023届高三12班\t0.208\n",
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+      "题号: 008972 , 字段: usages 中已添加数据: 20230308\t2023届高三08班\t0.967\n",
+      "题号: 009082 , 字段: usages 中已添加数据: 20230308\t2023届高三08班\t0.833\n",
+      "题号: 012445 , 字段: usages 中已添加数据: 20230308\t2023届高三08班\t0.800\n",
+      "题号: 030691 , 字段: usages 中已添加数据: 20230308\t2023届高三08班\t0.500\n",
+      "题号: 010000 , 字段: usages 中已添加数据: 20230308\t2023届高三08班\t0.919\n",
+      "题号: 011301 , 字段: usages 中已添加数据: 20230308\t2023届高三08班\t0.857\n",
+      "题号: 003691 , 字段: usages 中已添加数据: 20230308\t2023届高三08班\t0.757\n",
+      "题号: 011450 , 字段: usages 中已添加数据: 20230308\t2023届高三08班\t0.339\n",
+      "题号: 031236 , 字段: usages 中已添加数据: 20230308\t2023届高三08班\t0.348\n",
+      "题号: 003675 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t1.000\n",
+      "题号: 012165 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t1.000\n",
+      "题号: 004252 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.970\n",
+      "题号: 031239 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.939\n",
+      "题号: 031238 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.333\n",
+      "题号: 031266 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.727\n",
+      "题号: 031240 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.879\n",
+      "题号: 031237 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.697\n",
+      "题号: 004256 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.182\n",
+      "题号: 004499 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.455\n",
+      "题号: 004132 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.303\n",
+      "题号: 004217 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.182\n",
+      "题号: 008972 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.970\n",
+      "题号: 009082 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.697\n",
+      "题号: 012445 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.849\n",
+      "题号: 030691 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.303\n",
+      "题号: 010000 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.916\n",
+      "题号: 011301 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.896\n",
+      "题号: 003691 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.682\n",
+      "题号: 011450 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.280\n",
+      "题号: 031236 , 字段: usages 中已添加数据: 20230308\t2023届高三09班\t0.251\n"
      ]
     }
    ],
diff --git a/工具/批量题号选题pdf生成.ipynb b/工具/批量题号选题pdf生成.ipynb
index 64c60514..59af1651 100644
--- a/工具/批量题号选题pdf生成.ipynb
+++ b/工具/批量题号选题pdf生成.ipynb
@@ -2,16 +2,16 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "开始编译教师版本pdf文件:  临时文件/本学期高一高二年级新试卷_教师用_20230307.tex\n",
+      "开始编译教师版本pdf文件:  临时文件/本学期高一高二年级新试卷_教师用_20230308.tex\n",
       "0\n",
-      "开始编译学生版本pdf文件:  临时文件/本学期高一高二年级新试卷_学生用_20230307.tex\n",
+      "开始编译学生版本pdf文件:  临时文件/本学期高一高二年级新试卷_学生用_20230308.tex\n",
       "0\n"
      ]
     }
@@ -26,18 +26,19 @@
     "\"\"\"---设置题目列表---\"\"\"\n",
     "#字典字段为文件名, 之后为内容的题号\n",
     "problems_dict = {\n",
-    " \"2024届高二下学期周末卷01\":\"40001:40017\",\n",
-    " \"2025届高一下学期周末卷01\":\"40018:40036\",\n",
-    " \"2024届高二下学期周末卷02\":\"40037:40056\",\n",
-    " \"2025届高一下学期周末卷02\":\"40057:40082\",\n",
-    " \"2025届高一下学期周末卷03\":\"40083:40104\",\n",
-    " \"2025届高一下学期周末卷03小测\":\"40105:40112\",\n",
-    " \"2025届高一下学期周末卷04旧版\":\"40113:40130\",\n",
-    " \"2025届高一下学期周末卷04小测\":\"40131:40139\",\n",
-    " \"2024届高二下学期周末卷03\":\"40140:40160\",\n",
-    " \"2024届高二上学期期末考试\":\"31267:31287\",\n",
-    " \"2025届高一上学期期末考试\":\"31288:31308\",\n",
-    " \"2024届高二上学期周末卷04\":\"40161:40180\"\n",
+    "\"2024届高二下学期周末卷01\":\"40001:40017\",\n",
+    "\"2025届高一下学期周末卷01\":\"40018:40036\",\n",
+    "\"2024届高二下学期周末卷02\":\"40037:40056\",\n",
+    "\"2025届高一下学期周末卷02\":\"40057:40082\",\n",
+    "\"2025届高一下学期周末卷03\":\"40083:40104\",\n",
+    "\"2025届高一下学期周末卷03小测\":\"40105:40112\",\n",
+    "\"2025届高一下学期周末卷04旧版\":\"40113:40130\",\n",
+    "\"2025届高一下学期周末卷04小测\":\"40131:40139\",\n",
+    "\"2024届高二下学期周末卷03\":\"40140:40160\",\n",
+    "\"2024届高二上学期期末考试\":\"31267:31287\",\n",
+    "\"2025届高一上学期期末考试\":\"31288:31308\",\n",
+    "\"2024届高二下学期周末卷04\":\"40161:40180\",\n",
+    "\"2025届高一下学期周末卷04\":\"40181:40201\"\n",
     "\n",
     "}\n",
     "\n",
diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt
index 035a04b4..9bb86184 100644
--- a/工具/文本文件/metadata.txt
+++ b/工具/文本文件/metadata.txt
@@ -1,68 +1,758 @@
 usages
 
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-20230200	2025届高一11班	1.000
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+004132
+20230308	2023届高三10班	0.263
 
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-010176
-20230200	2025届高一12班	1.000	0.917	0.972	1.000
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-20230200	2025届高一12班	1.000
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-20230200	2025届高一12班	0.972	0.806
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-20230200	2025届高一12班	1.000	1.000	0.972	1.000	1.000	1.000
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+
+031237
+20230308	2023届高三05班	0.684
+
+004256
+20230308	2023届高三05班	0.263
+
+004499
+20230308	2023届高三05班	0.579
+
+004132
+20230308	2023届高三05班	0.553
+
+004217
+20230308	2023届高三05班	0.474
+
+008972
+20230308	2023届高三05班	0.974
+
+009082
+20230308	2023届高三05班	0.763
+
+012445
+20230308	2023届高三05班	0.789
+
+030691
+20230308	2023届高三05班	0.395
+
+010000
+20230308	2023届高三05班	0.880
+
+011301
+20230308	2023届高三05班	0.835
+
+003691
+20230308	2023届高三05班	0.844
+
+011450
+20230308	2023届高三05班	0.311
+
+031236
+20230308	2023届高三05班	0.342
+
+003675
+20230308	2023届高三06班	0.976
+
+012165
+20230308	2023届高三06班	1.000
+
+004252
+20230308	2023届高三06班	0.951
+
+031239
+20230308	2023届高三06班	0.902
+
+031238
+20230308	2023届高三06班	0.488
+
+031266
+20230308	2023届高三06班	0.854
+
+031240
+20230308	2023届高三06班	0.902
+
+031237
+20230308	2023届高三06班	0.707
+
+004256
+20230308	2023届高三06班	0.220
+
+004499
+20230308	2023届高三06班	0.634
+
+004132
+20230308	2023届高三06班	0.634
+
+004217
+20230308	2023届高三06班	0.488
+
+008972
+20230308	2023届高三06班	0.927
+
+009082
+20230308	2023届高三06班	0.902
+
+012445
+20230308	2023届高三06班	0.658
+
+030691
+20230308	2023届高三06班	0.439
+
+010000
+20230308	2023届高三06班	0.875
+
+011301
+20230308	2023届高三06班	0.822
+
+003691
+20230308	2023届高三06班	0.836
+
+011450
+20230308	2023届高三06班	0.289
+
+031236
+20230308	2023届高三06班	0.339
+
+003675
+20230308	2023届高三07班	0.943
+
+012165
+20230308	2023届高三07班	0.971
+
+004252
+20230308	2023届高三07班	1.000
+
+031239
+20230308	2023届高三07班	0.771
+
+031238
+20230308	2023届高三07班	0.400
+
+031266
+20230308	2023届高三07班	0.771
+
+031240
+20230308	2023届高三07班	0.829
+
+031237
+20230308	2023届高三07班	0.629
+
+004256
+20230308	2023届高三07班	0.057
+
+004499
+20230308	2023届高三07班	0.514
+
+004132
+20230308	2023届高三07班	0.314
+
+004217
+20230308	2023届高三07班	0.257
+
+008972
+20230308	2023届高三07班	0.914
+
+009082
+20230308	2023届高三07班	0.657
+
+012445
+20230308	2023届高三07班	0.600
+
+030691
+20230308	2023届高三07班	0.229
+
+010000
+20230308	2023届高三07班	0.888
+
+011301
+20230308	2023届高三07班	0.886
+
+003691
+20230308	2023届高三07班	0.763
+
+011450
+20230308	2023届高三07班	0.243
+
+031236
+20230308	2023届高三07班	0.316
+
+003675
+20230308	2023届高三08班	1.000
+
+012165
+20230308	2023届高三08班	1.000
+
+004252
+20230308	2023届高三08班	0.933
+
+031239
+20230308	2023届高三08班	0.867
+
+031238
+20230308	2023届高三08班	0.600
+
+031266
+20230308	2023届高三08班	0.833
+
+031240
+20230308	2023届高三08班	0.933
+
+031237
+20230308	2023届高三08班	0.700
+
+004256
+20230308	2023届高三08班	0.133
+
+004499
+20230308	2023届高三08班	0.600
+
+004132
+20230308	2023届高三08班	0.533
+
+004217
+20230308	2023届高三08班	0.333
+
+008972
+20230308	2023届高三08班	0.967
+
+009082
+20230308	2023届高三08班	0.833
+
+012445
+20230308	2023届高三08班	0.800
+
+030691
+20230308	2023届高三08班	0.500
+
+010000
+20230308	2023届高三08班	0.919
+
+011301
+20230308	2023届高三08班	0.857
+
+003691
+20230308	2023届高三08班	0.757
+
+011450
+20230308	2023届高三08班	0.339
+
+031236
+20230308	2023届高三08班	0.348
+
+003675
+20230308	2023届高三09班	1.000
+
+012165
+20230308	2023届高三09班	1.000
+
+004252
+20230308	2023届高三09班	0.970
+
+031239
+20230308	2023届高三09班	0.939
+
+031238
+20230308	2023届高三09班	0.333
+
+031266
+20230308	2023届高三09班	0.727
+
+031240
+20230308	2023届高三09班	0.879
+
+031237
+20230308	2023届高三09班	0.697
+
+004256
+20230308	2023届高三09班	0.182
+
+004499
+20230308	2023届高三09班	0.455
+
+004132
+20230308	2023届高三09班	0.303
+
+004217
+20230308	2023届高三09班	0.182
+
+008972
+20230308	2023届高三09班	0.970
+
+009082
+20230308	2023届高三09班	0.697
+
+012445
+20230308	2023届高三09班	0.849
+
+030691
+20230308	2023届高三09班	0.303
+
+010000
+20230308	2023届高三09班	0.916
+
+011301
+20230308	2023届高三09班	0.896
+
+003691
+20230308	2023届高三09班	0.682
+
+011450
+20230308	2023届高三09班	0.280
+
+031236
+20230308	2023届高三09班	0.251
 
diff --git a/工具/模板文件/题目清单.txt b/工具/模板文件/题目清单.txt
index b9361def..2776c043 100644
--- a/工具/模板文件/题目清单.txt
+++ b/工具/模板文件/题目清单.txt
@@ -9,6 +9,7 @@
 \usepackage{makecell}
 \usepackage{longtable}
 \usepackage{diagbox}
+\usepackage{hyperref}
 \usetikzlibrary{arrows,calc,intersections,patterns,decorations.pathreplacing,3d,angles,quotes,positioning,shapes.geometric}
 \usepackage[top=1in, bottom=1in,left=0.8in,right=0.8in]{geometry}
 \renewcommand{\baselinestretch}{1.65}
@@ -44,6 +45,10 @@ A.~#1 &B.~#2& C.~#3& D.~#4
 \end{tabular}}
 \begin{document}
 
+\tableofcontents
+
+\newpage
+
 \begin{enumerate}[1.]
 
 编译模板
diff --git a/工具/添加题目到数据库.ipynb b/工具/添加题目到数据库.ipynb
index e1170abe..530a65c3 100644
--- a/工具/添加题目到数据库.ipynb
+++ b/工具/添加题目到数据库.ipynb
@@ -7,10 +7,10 @@
    "outputs": [],
    "source": [
     "#修改起始id,出处,文件名\n",
-    "starting_id = 40161\n",
+    "starting_id = 40181\n",
     "raworigin = \"\"\n",
     "filename = r\"C:\\Users\\weiye\\Documents\\wwy sync\\临时工作区\\自拟题目4.tex\"\n",
-    "editor = \"20230307\\t王伟叶\"\n",
+    "editor = \"20230308\\t王伟叶\"\n",
     "indexed = False\n"
    ]
   },
@@ -23,26 +23,27 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "添加题号040161, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040162, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040163, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040164, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040165, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040166, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040167, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040168, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040169, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040170, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040171, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040172, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040173, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040174, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040175, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040176, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040177, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040178, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040179, 来源: 2024届高二下学期周末卷04\n",
-      "添加题号040180, 来源: 2024届高二下学期周末卷04\n"
+      "添加题号040181, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040182, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040183, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040184, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040185, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040186, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040187, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040188, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040189, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040190, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040191, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040192, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040193, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040194, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040195, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040196, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040197, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040198, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040199, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040200, 来源: 2025届高一下学期周末卷04\n",
+      "添加题号040201, 来源: 2025届高一下学期周末卷04\n"
      ]
     }
    ],
@@ -161,7 +162,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.15"
+   "version": "3.9.15"
   },
   "orig_nbformat": 4,
   "vscode": {
diff --git a/文本处理工具/剪贴板文本整理_mathpix.ipynb b/文本处理工具/剪贴板文本整理_mathpix.ipynb
index e44698b5..b88ad3a2 100644
--- a/文本处理工具/剪贴板文本整理_mathpix.ipynb
+++ b/文本处理工具/剪贴板文本整理_mathpix.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -207,7 +207,9 @@
     "\n",
     "#替换题号\n",
     "data = re.sub(\"(^[例]*[0-9]+[\\s]*\\.[\\s]+)\",\"\\\\n\\\\\\\\item \",data)\n",
+    "data = re.sub(\"(^[例]*[0-9]+[\\s]*、[\\s]*)\",\"\\\\n\\\\\\\\item \",data)\n",
     "data = re.sub(\"(\\\\n[例]*[0-9]+[\\s]*\\.[\\s]+)\",\"\\\\n\\\\\\\\item \",data)\n",
+    "data = re.sub(\"(\\\\n[例]*[0-9]+[\\s]*、[\\s]*)\",\"\\\\n\\\\\\\\item \",data)\n",
     "\n",
     "#公式标志换成$符号\n",
     "data = re.sub(\"\\\\\\\\\\[\",r\"$\",data)\n",
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index c39ec188..f1bcc401 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -99394,7 +99394,20 @@
         "ans": "$(-\\infty,0)$",
         "solution": "即$\\dfrac 1x<0$",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.921",
+            "20230308\t2023届高三11班\t0.917",
+            "20230308\t2023届高三12班\t1.000",
+            "20230308\t2023届高三01班\t1.000",
+            "20230308\t2023届高三02班\t0.879",
+            "20230308\t2023届高三03班\t1.000",
+            "20230308\t2023届高三04班\t1.000",
+            "20230308\t2023届高三05班\t1.000",
+            "20230308\t2023届高三06班\t0.976",
+            "20230308\t2023届高三07班\t0.943",
+            "20230308\t2023届高三08班\t1.000",
+            "20230308\t2023届高三09班\t1.000"
+        ],
         "origin": "上海2017年秋季高考试题3",
         "edit": [
             "20220701\t王伟叶"
@@ -99820,7 +99833,20 @@
         "ans": "(1) $935$辆; (2) 因$8782>8736$, 故第$42$个月底单车保有量超过了容纳量",
         "solution": "(1) 前$4$个月的累计投放量为$a_1+a_2+a_3+a_4=20+95+420+430=965$. 前$4$个月的累计损失量为$b_1+b_2+b_3+b_4=6+7+8+9=30$, 因此该地区第$4$个月底的共享单车的保有量为$965-30=935$.\\\\\n(2) 考察不等式$a_n \\geq b_n$在整数范围内的解集. 当$n \\leq 3$时, $5 n^4+15 \\geq n+5$确实成立, 当$n \\geq 4$时, 由$-10 n+470 \\geq n+5$, 解得$n \\leq \\dfrac{465}{11}\\approx 42.27$, 因此第$42$个月底, 保有量达到最大. 当$n \\geq 4$时, $\\{a_n\\}$是公差为$-10$的等差数列, 而$\\{b_n\\}$是公差为$1$的等差数列, 于是到第$42$个月底, 单车保有量为$\\dfrac{38(a_5+a_{42})}{2}+965-\\dfrac{42(b_1+b_{42})}{2}=\\dfrac{38(420+50)}{2}+965-\\dfrac{42(6+47)}{2}=8782$. 而$S_{42}=-4\\times 16+8800=8736<8782$. 因此该月底单车保有量超过了容纳量.",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.660",
+            "20230308\t2023届高三11班\t0.667",
+            "20230308\t2023届高三12班\t0.537",
+            "20230308\t2023届高三01班\t0.894",
+            "20230308\t2023届高三02班\t0.825",
+            "20230308\t2023届高三03班\t0.774",
+            "20230308\t2023届高三04班\t0.769",
+            "20230308\t2023届高三05班\t0.844",
+            "20230308\t2023届高三06班\t0.836",
+            "20230308\t2023届高三07班\t0.763",
+            "20230308\t2023届高三08班\t0.757",
+            "20230308\t2023届高三09班\t0.682"
+        ],
         "origin": "上海2017年秋季高考试题19",
         "edit": [
             "20220701\t王伟叶"
@@ -110713,7 +110739,19 @@
         "solution": "设$MN$的中点为$T$, 则$|OT|=1$且$T$能取遍单位圆上的每一个点. 而$\\overrightarrow{AM}\\cdot \\overrightarrow{AN}=(\\overrightarrow{AT}+\\overrightarrow{TM})\\cdot (\\overrightarrow{AT}-\\overrightarrow{TM})=\\overrightarrow{AT}^2-3$, 而$|AT|$的范围为$[0,2]$, 所以$\\overrightarrow{AM}\\cdot \\overrightarrow{AN}$的取值范围为$[-3,1]$",
         "duration": -1,
         "usages": [
-            "20220331\t2022届高三01班\t0.744"
+            "20220331\t2022届高三01班\t0.744",
+            "20230308\t2023届高三10班\t0.263",
+            "20230308\t2023届高三11班\t0.333",
+            "20230308\t2023届高三12班\t0.304",
+            "20230308\t2023届高三01班\t0.871",
+            "20230308\t2023届高三02班\t0.636",
+            "20230308\t2023届高三03班\t0.516",
+            "20230308\t2023届高三04班\t0.767",
+            "20230308\t2023届高三05班\t0.553",
+            "20230308\t2023届高三06班\t0.634",
+            "20230308\t2023届高三07班\t0.314",
+            "20230308\t2023届高三08班\t0.533",
+            "20230308\t2023届高三09班\t0.303"
         ],
         "origin": "2022届高三下学期测验卷04第11题",
         "edit": [
@@ -113028,7 +113066,19 @@
         "solution": "$f(2020)=f(2^{10}\\cdot \\dfrac{2020}{1024})=2^{10}(2-\\dfrac{2020}{1024})=28$. 而当$x\\in (2^i,2^{i+1}]$($i\\in \\mathbf{Z}$)时, $f(x)$的取值范围为$[0,2^i)$. 所以$x>32$, 设$x\\in (32,64]$, 则$f(x)=32f(\\dfrac{x}{32})=32\\cdot (2-\\dfrac{x}{32})=64-x$, 解$64-x=28$得$x=36$",
         "duration": -1,
         "usages": [
-            "20220505\t2022届高三01班\t0.907"
+            "20220505\t2022届高三01班\t0.907",
+            "20230308\t2023届高三10班\t0.132",
+            "20230308\t2023届高三11班\t0.042",
+            "20230308\t2023届高三12班\t0.130",
+            "20230308\t2023届高三01班\t0.839",
+            "20230308\t2023届高三02班\t0.636",
+            "20230308\t2023届高三03班\t0.355",
+            "20230308\t2023届高三04班\t0.533",
+            "20230308\t2023届高三05班\t0.474",
+            "20230308\t2023届高三06班\t0.488",
+            "20230308\t2023届高三07班\t0.257",
+            "20230308\t2023届高三08班\t0.333",
+            "20230308\t2023届高三09班\t0.182"
         ],
         "origin": "2022届高三下学期测验卷08第12题",
         "edit": [
@@ -114015,7 +114065,19 @@
             "20230223\t2023届高三06班\t0.976",
             "20230223\t2023届高三07班\t0.853",
             "20230223\t2023届高三08班\t0.812",
-            "20230223\t2023届高三09班\t0.879"
+            "20230223\t2023届高三09班\t0.879",
+            "20230308\t2023届高三10班\t0.842",
+            "20230308\t2023届高三11班\t0.958",
+            "20230308\t2023届高三12班\t0.957",
+            "20230308\t2023届高三01班\t1.000",
+            "20230308\t2023届高三02班\t0.909",
+            "20230308\t2023届高三03班\t0.935",
+            "20230308\t2023届高三04班\t0.833",
+            "20230308\t2023届高三05班\t0.974",
+            "20230308\t2023届高三06班\t0.951",
+            "20230308\t2023届高三07班\t1.000",
+            "20230308\t2023届高三08班\t0.933",
+            "20230308\t2023届高三09班\t0.970"
         ],
         "origin": "2022届高三下学期测验卷10第5题",
         "edit": [
@@ -114115,7 +114177,19 @@
         "solution": "该函数在$x>0$时的取值范围为$(b,1+b)$, 所以该函数存在反函数的一个充要条件为$(-b-1,-b)$, $\\{0\\}$, $(b,b+1)$两两的交集为$\\varnothing$, 解得$b\\le -1$或$b\\ge 0$",
         "duration": -1,
         "usages": [
-            "20220517\t2022届高三01班\t0.698"
+            "20220517\t2022届高三01班\t0.698",
+            "20230308\t2023届高三10班\t0.026",
+            "20230308\t2023届高三11班\t0.042",
+            "20230308\t2023届高三12班\t0.087",
+            "20230308\t2023届高三01班\t0.323",
+            "20230308\t2023届高三02班\t0.394",
+            "20230308\t2023届高三03班\t0.258",
+            "20230308\t2023届高三04班\t0.333",
+            "20230308\t2023届高三05班\t0.263",
+            "20230308\t2023届高三06班\t0.220",
+            "20230308\t2023届高三07班\t0.057",
+            "20230308\t2023届高三08班\t0.133",
+            "20230308\t2023届高三09班\t0.182"
         ],
         "origin": "2022届高三下学期测验卷10第9题",
         "edit": [
@@ -121007,7 +121081,19 @@
         "solution": "最大数为$1$的集合有$2^0$个, 最大数为$2$的集合有$2^1$个, 以此类推. 所以$S_{10}=\\displaystyle\\sum_{i=1}^{10}(i\\cdot 2^{i-1})=9217$",
         "duration": -1,
         "usages": [
-            "20211123\t2022届高三01班\t0.810"
+            "20211123\t2022届高三01班\t0.810",
+            "20230308\t2023届高三10班\t0.342",
+            "20230308\t2023届高三11班\t0.542",
+            "20230308\t2023届高三12班\t0.478",
+            "20230308\t2023届高三01班\t0.839",
+            "20230308\t2023届高三02班\t0.788",
+            "20230308\t2023届高三03班\t0.806",
+            "20230308\t2023届高三04班\t0.733",
+            "20230308\t2023届高三05班\t0.579",
+            "20230308\t2023届高三06班\t0.634",
+            "20230308\t2023届高三07班\t0.514",
+            "20230308\t2023届高三08班\t0.600",
+            "20230308\t2023届高三09班\t0.455"
         ],
         "origin": "2022届高三上学期测验卷08第11题",
         "edit": [
@@ -226861,7 +226947,20 @@
         "ans": "B",
         "solution": "根据复数相等的定义, $z_1=z_2$时必有$a=c$, 反之如$z_1=1$, $z_2=1+\\mathrm{i}$, 则有$a=c$且$z_1\\ne z_2$",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.947",
+            "20230308\t2023届高三11班\t1.000",
+            "20230308\t2023届高三12班\t0.957",
+            "20230308\t2023届高三01班\t1.000",
+            "20230308\t2023届高三02班\t1.000",
+            "20230308\t2023届高三03班\t0.935",
+            "20230308\t2023届高三04班\t0.933",
+            "20230308\t2023届高三05班\t0.974",
+            "20230308\t2023届高三06班\t0.927",
+            "20230308\t2023届高三07班\t0.914",
+            "20230308\t2023届高三08班\t0.967",
+            "20230308\t2023届高三09班\t0.970"
+        ],
         "origin": "二期课改练习册高二第二学期",
         "edit": [
             "20220726\t王伟叶"
@@ -229269,7 +229368,20 @@
         "ans": "D",
         "solution": "如图, 点$(x,y)$的轨迹为图中的圆, 圆上动点与原点连线斜率的最大值是如图切线的斜率\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->] (-2,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-2) -- (0,2) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw (2,0) circle ({sqrt(3)});\n\\draw (0,0) --++ (60:2);\n\\filldraw (2,0) node [below] {$C$} coordinate (C) circle (0.03);\n\\end{tikzpicture}\n\\end{center}",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.632",
+            "20230308\t2023届高三11班\t0.500",
+            "20230308\t2023届高三12班\t0.609",
+            "20230308\t2023届高三01班\t1.000",
+            "20230308\t2023届高三02班\t0.849",
+            "20230308\t2023届高三03班\t0.935",
+            "20230308\t2023届高三04班\t0.900",
+            "20230308\t2023届高三05班\t0.763",
+            "20230308\t2023届高三06班\t0.902",
+            "20230308\t2023届高三07班\t0.657",
+            "20230308\t2023届高三08班\t0.833",
+            "20230308\t2023届高三09班\t0.697"
+        ],
         "origin": "二期课改练习册高二第二学期",
         "edit": [
             "20220726\t王伟叶"
@@ -250681,7 +250793,19 @@
         "usages": [
             "20221101\t2023届高三10班\t0.886\t0.686",
             "20221101\t2023届高三02班\t0.935\t0.548",
-            "20221101\t2023届高三09班\t0.852\t0.630"
+            "20221101\t2023届高三09班\t0.852\t0.630",
+            "20230308\t2023届高三10班\t0.874",
+            "20230308\t2023届高三11班\t0.845",
+            "20230308\t2023届高三12班\t0.761",
+            "20230308\t2023届高三01班\t0.949",
+            "20230308\t2023届高三02班\t0.946",
+            "20230308\t2023届高三03班\t0.919",
+            "20230308\t2023届高三04班\t0.895",
+            "20230308\t2023届高三05班\t0.880",
+            "20230308\t2023届高三06班\t0.875",
+            "20230308\t2023届高三07班\t0.888",
+            "20230308\t2023届高三08班\t0.919",
+            "20230308\t2023届高三09班\t0.916"
         ],
         "origin": "上海2022年秋季高考试题17",
         "edit": [
@@ -282309,7 +282433,20 @@
         "ans": "(1) $c=8$; (2) $6\\sqrt{6}$",
         "solution": "(1) 由$a^2+c^2-2ac\\cos B=b^2$, 即$c^2-5c-24=0$解得$c=8$或$-3$(负数舍去). 故$c=8$.\\\\\n(2) 延长$CM$至$N$, 使得$CM=MN$, 则四边形$ACBN$是平行四边形, 故$S_{\\triangle ABC}=S_{\\triangle ACN}$. $\\triangle ACN$的三边长分别为$5,6,7$, 故$\\cos \\angle CAN=\\dfrac{5^2+7^2-6^2}{2\\times 5\\times 7}=\\dfrac{19}{35}$, 所以$\\sin \\angle CAN=\\dfrac{12\\sqrt{6}}{35}$. 由此, $S_{\\triangle ACN}=\\dfrac 12\\cdot AC\\cdot AN\\cdot \\sin \\angle CAN=6\\sqrt{6}$. 综上, 三角形$ABC$的面积为$6\\sqrt{6}$.",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.913",
+            "20230308\t2023届高三11班\t0.839",
+            "20230308\t2023届高三12班\t0.820",
+            "20230308\t2023届高三01班\t0.945",
+            "20230308\t2023届高三02班\t0.913",
+            "20230308\t2023届高三03班\t0.894",
+            "20230308\t2023届高三04班\t0.919",
+            "20230308\t2023届高三05班\t0.835",
+            "20230308\t2023届高三06班\t0.822",
+            "20230308\t2023届高三07班\t0.886",
+            "20230308\t2023届高三08班\t0.857",
+            "20230308\t2023届高三09班\t0.896"
+        ],
         "origin": "2022届高三下学期周末卷3试题18",
         "edit": [
             "20220818\t王伟叶"
@@ -285654,7 +285791,20 @@
         "ans": "(1) $x=\\dfrac{\\sqrt{2}}2$或$x=-\\dfrac{\\sqrt{2}}2$; (2) $x_1^2+x_2^2=1$, $y_1^2+y_2^2=2$; (3) 不存在, 证明略.",
         "solution": "(1) 设直线$l$的方程为$x=m$, 由$S_{\\triangle OPQ}=\\dfrac 12\\cdot |m|\\cdot |PQ|=\\dfrac{\\sqrt{2}}{2}$得$|PQ|=\\dfrac{\\sqrt{2}}{|m|}$, 于是点$(m,\\dfrac{\\sqrt{2}}{2|m|})$在椭圆上. 代入椭圆$C$的方程, 得$m^2+\\dfrac{2}{8m^2}=1$, 解得$m^2=\\dfrac 12$. 故直线$l$的方程为$x=\\dfrac{\\sqrt{2}}2$或$x=-\\dfrac{\\sqrt{2}}2$.\\\\\n(2) 当直线$l$的斜率不存在时, 点$P,Q$关于$x$轴对称, 设$P(x_1,y_1)$, $Q(x_1,-y_1)$, 由$x_1^2+\\dfrac{y_1^2}{2}=1$及$|x_1y_1|=\\dfrac{\\sqrt{2}}{2}$解得$|x_1|=\\dfrac{\\sqrt{2}}2$, $|y_1|=1$, 故此时$x_1^2+x_2^2=1$, $y_1^2+y_2^2=2$.\\\\\n当直线$l$的斜率存在时, 设直线$l$的方程为$y=kx+m$, 与椭圆$C$的方程联立, 整理得$(2+k^2)x^2+2kmx+m^2-2=0$, 由$\\dfrac 12|x_1y_2-x_2y_1|=\\dfrac 12|x_1(kx_2+m)-x_2(kx_1+m)|=\\dfrac 12|m||x_1-x_2|=\\dfrac{\\sqrt{2}}{2}$得$\\sqrt{2}(2+k^2)=|m|\\sqrt{2+k^2-m^2}$. 于是$2m^2=2+k^2$, $x_1^2+x_2^2=(x_1+x_2)^2-2x_1x_2=(\\dfrac{-2km}{2+k^2})^2-\\dfrac{2m^2-4}{2+k^2}=1$, $y_1^2+y_2^2=2(1-x_1^2+1-x_2^2)=2$.\\\\\n(3) 假设这样的三角形存在, 则三点$D(x_1,y_1)$, $E(x_2,y_2)$, $G(x_3,y_3)$应满足$x_1^2+x_2^2=x_2^2+x_3^2=x_3^2+x_1^2=1$, 从而$x_1^2=x_2^2=x_3^2=\\dfrac 12$, 但椭圆$C$上任取横坐标为$\\pm \\dfrac{\\sqrt{2}}{2}$的三点, 总有两个点与原点共线, 此时三角形不存在, 矛盾. 因此假设不成立, 满足条件的三角形不存在.",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.281",
+            "20230308\t2023届高三11班\t0.227",
+            "20230308\t2023届高三12班\t0.208",
+            "20230308\t2023届高三01班\t0.475",
+            "20230308\t2023届高三02班\t0.431",
+            "20230308\t2023届高三03班\t0.409",
+            "20230308\t2023届高三04班\t0.404",
+            "20230308\t2023届高三05班\t0.311",
+            "20230308\t2023届高三06班\t0.289",
+            "20230308\t2023届高三07班\t0.243",
+            "20230308\t2023届高三08班\t0.339",
+            "20230308\t2023届高三09班\t0.280"
+        ],
         "origin": "2022届高三下学期周末卷10试题20",
         "edit": [
             "20220818\t王伟叶"
@@ -302285,13 +302435,25 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "$4$",
+        "ans": "$6$",
         "solution": "解$1\\cdot a-2\\cdot 3=0$得$a=6$, 此时方程组确实无解",
         "duration": -1,
         "usages": [
             "20230103\t2023届高三10班\t1.000",
             "20230103\t2023届高三11班\t1.000",
-            "20230103\t2023届高三02班\t0.935"
+            "20230103\t2023届高三02班\t0.935",
+            "20230308\t2023届高三10班\t1.000",
+            "20230308\t2023届高三11班\t0.958",
+            "20230308\t2023届高三12班\t1.000",
+            "20230308\t2023届高三01班\t1.000",
+            "20230308\t2023届高三02班\t0.970",
+            "20230308\t2023届高三03班\t1.000",
+            "20230308\t2023届高三04班\t1.000",
+            "20230308\t2023届高三05班\t0.974",
+            "20230308\t2023届高三06班\t1.000",
+            "20230308\t2023届高三07班\t0.971",
+            "20230308\t2023届高三08班\t1.000",
+            "20230308\t2023届高三09班\t1.000"
         ],
         "origin": "2017届春季高考试题5",
         "edit": [
@@ -309108,7 +309270,20 @@
         "ans": "B",
         "solution": "要求$a^2-(k+2)ab+b^2\\ge 0$恒成立, 即要求$(k+2)^2b^2-4b^2\\le 0$对一切$b\\in \\mathbf{R}$恒成立, 即要求$(k^2+4k)\\le 0$, 解得$k$的范围为$[-4,0]$",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.684",
+            "20230308\t2023届高三11班\t0.625",
+            "20230308\t2023届高三12班\t0.652",
+            "20230308\t2023届高三01班\t0.903",
+            "20230308\t2023届高三02班\t0.758",
+            "20230308\t2023届高三03班\t1.000",
+            "20230308\t2023届高三04班\t0.733",
+            "20230308\t2023届高三05班\t0.789",
+            "20230308\t2023届高三06班\t0.658",
+            "20230308\t2023届高三07班\t0.600",
+            "20230308\t2023届高三08班\t0.800",
+            "20230308\t2023届高三09班\t0.849"
+        ],
         "origin": "2015届春季高考附加卷试题2",
         "edit": [
             "20221212\t王伟叶"
@@ -422157,7 +422332,20 @@
         "ans": "B",
         "solution": "注意到$1^2=2\\cdot 1-1$, 因此$A=\\{x|x\\in \\mathbf{R},\\ x\\ne 1\\}$与$B=\\{1\\}$时$f(x)$是偶函数, 而$A=\\{x|x\\in \\mathbf{R},\\ x\\ne 1, \\ x\\ne 0\\}$与$B=\\{0,1\\}$时$f(x)$也是偶函数, 故\\textcircled{1}错误.\\\\\n任何一组满足$\\dfrac 32\\in A$, $\\pm \\sqrt{2}\\in B$的满足要求的集合都能使得$f(x)=2$无解, 注意到$3,4,5,6,\\cdot$都可以随意放置在$A$或$B$之一内, 因此这样的集合确实有无穷多对, \\textcircled{2}正确.",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.368",
+            "20230308\t2023届高三11班\t0.208",
+            "20230308\t2023届高三12班\t0.522",
+            "20230308\t2023届高三01班\t0.645",
+            "20230308\t2023届高三02班\t0.545",
+            "20230308\t2023届高三03班\t0.581",
+            "20230308\t2023届高三04班\t0.733",
+            "20230308\t2023届高三05班\t0.395",
+            "20230308\t2023届高三06班\t0.439",
+            "20230308\t2023届高三07班\t0.229",
+            "20230308\t2023届高三08班\t0.500",
+            "20230308\t2023届高三09班\t0.303"
+        ],
         "origin": "2022届杨浦一模试题16",
         "edit": [
             "20230107\t王伟叶"
@@ -434124,7 +434312,20 @@
         "ans": "(1) $y=x$; (2) $g'(x)=\\mathrm{e}^x(\\ln (x+1)+\\dfrac 1{x+1}+\\dfrac{x}{(x+1)^2})$, 故$g(x)$在$[1,+\\infty)$上是严格增函数; (3) 证明略.",
         "solution": "(1) $f'(0)=\\mathrm{e}^0(\\dfrac{1}{1+0}+\\ln (1+0))=1$, 又$f(0)=0$, 故所求切线的方程为$y=x$.\\\\\n(2) $g(x)=f'(x)=\\mathrm{e}^x(\\dfrac{1}{1+x}+\\ln (1+x))$. $g'(x)=\\mathrm{e}^x(\\ln (1+x)+\\dfrac{2}{1+x}-\\dfrac{1}{(1+x)^2})$, 当$x>0$时, $\\mathrm{e}^x>1>0$, $\\ln(1+x)>0$, 且$\\dfrac{2}{1+x}-\\dfrac{1}{(1+x)^2}=\\dfrac{2x+1}{(1+x)^2}>0$, 所以$g'(x)$在$(0,+\\infty)$上恒正. 因此$g(x)$在$[0,+\\infty)$上是严格增函数.\\\\\n(3) 对于固定的常数$t$, 令$h(x)=f(x+t)-f(x)-f(t)$, 则$h(t)=0$, 而$h'(x)=f'(x+t)-f'(x)=g(x+t)-g(x)$. 由(2)可知$g(x+t)>g(x)$, 故$h'(x)$在$(0,+\\infty)$上恒正, 于是有$h(s)>h(0)=0$, 即$f(s+t)>f(s)+f(t)$.",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.248",
+            "20230308\t2023届高三11班\t0.225",
+            "20230308\t2023届高三12班\t0.220",
+            "20230308\t2023届高三01班\t0.477",
+            "20230308\t2023届高三02班\t0.460",
+            "20230308\t2023届高三03班\t0.441",
+            "20230308\t2023届高三04班\t0.398",
+            "20230308\t2023届高三05班\t0.342",
+            "20230308\t2023届高三06班\t0.339",
+            "20230308\t2023届高三07班\t0.316",
+            "20230308\t2023届高三08班\t0.348",
+            "20230308\t2023届高三09班\t0.251"
+        ],
         "origin": "2022年北京高考",
         "edit": [
             "20230220\t王伟叶"
@@ -434149,7 +434350,20 @@
         "ans": "$\\dfrac 35$",
         "solution": "所有取法共有$\\mathrm{C}_6^3=20$种, 其中恰有两个小球编号相邻的取法有$124$, $125$, $126$, $235$, $236$, $134$, $346$, $145$, $245$, $156$, $256$, $356$共$12$种, 所以所求概率为$\\dfrac{12}{20}=\\dfrac 35$",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.605",
+            "20230308\t2023届高三11班\t0.583",
+            "20230308\t2023届高三12班\t0.522",
+            "20230308\t2023届高三01班\t0.839",
+            "20230308\t2023届高三02班\t0.636",
+            "20230308\t2023届高三03班\t0.839",
+            "20230308\t2023届高三04班\t0.700",
+            "20230308\t2023届高三05班\t0.684",
+            "20230308\t2023届高三06班\t0.707",
+            "20230308\t2023届高三07班\t0.629",
+            "20230308\t2023届高三08班\t0.700",
+            "20230308\t2023届高三09班\t0.697"
+        ],
         "origin": "教材复习题-20230220修改",
         "edit": [
             "20220624\t王伟叶, 余利成",
@@ -434176,7 +434390,20 @@
         "ans": "$17$",
         "solution": "考虑$(x^{\\frac 12}+x^{-\\frac 13})^{100}$展开式的通项$T_{r+1}=\\mathrm{C}_{100}^rx^{\\frac{100-r}2}\\cdot (x^{-\\frac 13})^r=\\mathrm{C}_{100}^rx^{50-\\dfrac{3r}6}$.\n令$r=6k$($k\\in \\mathbf{Z}$), 则$0\\le 6k\\le 100$, 即$r=0,6,12,\\cdots ,96$.\n因此共有$17$个有理项.",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.421",
+            "20230308\t2023届高三11班\t0.250",
+            "20230308\t2023届高三12班\t0.261",
+            "20230308\t2023届高三01班\t0.710",
+            "20230308\t2023届高三02班\t0.606",
+            "20230308\t2023届高三03班\t0.548",
+            "20230308\t2023届高三04班\t0.467",
+            "20230308\t2023届高三05班\t0.605",
+            "20230308\t2023届高三06班\t0.488",
+            "20230308\t2023届高三07班\t0.400",
+            "20230308\t2023届高三08班\t0.600",
+            "20230308\t2023届高三09班\t0.333"
+        ],
         "origin": "代数精编第九章排列组合-20230220修改",
         "edit": [
             "20220720\t王伟叶",
@@ -434200,7 +434427,20 @@
         "ans": "$\\dfrac 23$",
         "solution": "$\\dfrac{1}{\\sin^2\\alpha+2\\sin\\alpha\\cos\\alpha}=\\dfrac{\\sin^2\\alpha+\\cos^2\\alpha}{\\sin^2\\alpha+2\\sin\\alpha\\cos\\alpha}=\\dfrac{\\tan^2\\alpha+1}{\\tan^2\\alpha+2\\tan\\alpha}=\\dfrac 2 3$",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.895",
+            "20230308\t2023届高三11班\t0.833",
+            "20230308\t2023届高三12班\t0.913",
+            "20230308\t2023届高三01班\t1.000",
+            "20230308\t2023届高三02班\t0.939",
+            "20230308\t2023届高三03班\t0.903",
+            "20230308\t2023届高三04班\t0.933",
+            "20230308\t2023届高三05班\t0.789",
+            "20230308\t2023届高三06班\t0.902",
+            "20230308\t2023届高三07班\t0.771",
+            "20230308\t2023届高三08班\t0.867",
+            "20230308\t2023届高三09班\t0.939"
+        ],
         "origin": "二期课改练习册高一第二学期-20230220修改",
         "edit": [
             "20220726\t王伟叶",
@@ -434225,7 +434465,20 @@
         "ans": "$\\dfrac{2\\pi}3$",
         "solution": "因$\\overrightarrow{b}\\cdot \\overrightarrow{b}=36$, 故$\\overrightarrow{a}\\cdot \\overrightarrow{b}=-15$, 进而$\\cos\\langle \\overrightarrow a,\\overrightarrow b\\rangle=\\dfrac{-15}{30}=-\\dfrac 12$",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.947",
+            "20230308\t2023届高三11班\t0.917",
+            "20230308\t2023届高三12班\t0.957",
+            "20230308\t2023届高三01班\t0.935",
+            "20230308\t2023届高三02班\t0.909",
+            "20230308\t2023届高三03班\t0.903",
+            "20230308\t2023届高三04班\t0.967",
+            "20230308\t2023届高三05班\t0.921",
+            "20230308\t2023届高三06班\t0.902",
+            "20230308\t2023届高三07班\t0.829",
+            "20230308\t2023届高三08班\t0.933",
+            "20230308\t2023届高三09班\t0.879"
+        ],
         "origin": "新教材必修第二册课堂练习-20230220修改",
         "edit": [
             "20220730\t王伟叶",
@@ -434763,7 +435016,20 @@
         "ans": "$6$",
         "solution": "从小到大排列后, 第$9$和第$10$个数的算术平均数为$5$. $18\\cdot 0.75=13.5$, 故第$14$个数也为$5$, 从而第$10$个数小于等于$5$, 因此它等于$5$, 第九个数也必须等于$5$, 这样, 第$9,10,11,12,13,14$这六个数都等于$5$. 另一方面, $8$个$4$, $6$个$5$, $4$个$6$的数据满足要求.",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230308\t2023届高三10班\t0.842",
+            "20230308\t2023届高三11班\t0.833",
+            "20230308\t2023届高三12班\t0.783",
+            "20230308\t2023届高三01班\t0.839",
+            "20230308\t2023届高三02班\t0.849",
+            "20230308\t2023届高三03班\t0.871",
+            "20230308\t2023届高三04班\t0.867",
+            "20230308\t2023届高三05班\t0.816",
+            "20230308\t2023届高三06班\t0.854",
+            "20230308\t2023届高三07班\t0.771",
+            "20230308\t2023届高三08班\t0.833",
+            "20230308\t2023届高三09班\t0.727"
+        ],
         "origin": "自拟题目",
         "edit": [
             "20230224\t王伟叶"
@@ -439664,5 +439930,404 @@
         "related": [],
         "remark": "",
         "space": "12ex"
+    },
+    "040181": {
+        "id": "040181",
+        "content": "已知$\\sin x=\\dfrac{3}{5}, \\cos y=\\dfrac{4}{5}$, 其中$x, y$是第一象限角, 则$\\cos (x+y)=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040182": {
+        "id": "040182",
+        "content": "若角$\\alpha$满足$\\dfrac{1}{2} \\cos \\alpha-\\dfrac{\\sqrt{3}}{2} \\sin \\alpha=1$, 则$\\alpha=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040183": {
+        "id": "040183",
+        "content": "已知$\\cos (\\alpha+\\dfrac{\\pi}{6})=\\dfrac{3}{5}$, $\\alpha \\in[0, \\pi)$, 则$\\sin \\alpha=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040184": {
+        "id": "040184",
+        "content": "若$3 \\sin \\alpha=4 \\cos \\alpha$, 则$\\tan (\\alpha-\\dfrac{\\pi}{4})=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040185": {
+        "id": "040185",
+        "content": "将$4 \\sin \\alpha-4 \\cos \\alpha$化成$A \\sin (\\alpha+\\varphi)$(其中$A>0$, $\\varphi \\in[0,2 \\pi)$)的形式为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040186": {
+        "id": "040186",
+        "content": "已知$\\tan \\alpha=-\\dfrac{1}{7}$, $\\tan (2 \\alpha-\\beta)=2$, 则$\\tan (\\alpha-\\beta)=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040187": {
+        "id": "040187",
+        "content": "化简: $\\cos ^2 \\alpha+\\cos ^2(\\dfrac{\\pi}{3}+\\alpha)+\\cos ^2(\\dfrac{\\pi}{3}-\\alpha)=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040188": {
+        "id": "040188",
+        "content": "求值: $\\tan 36^{\\circ}+\\sqrt{3} \\tan 24^{\\circ} \\tan 36^{\\circ}+\\tan 24^{\\circ}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040189": {
+        "id": "040189",
+        "content": "若$A+B=-\\dfrac{\\pi}{4}$, 则$(\\tan A-1)(\\tan B-1)=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040190": {
+        "id": "040190",
+        "content": "若$\\cos (\\dfrac{\\pi}{4}-\\theta) \\cdot \\cos (\\dfrac{\\pi}{4}+\\theta)=\\dfrac{1}{3}$, 则$\\sin ^4 \\theta+\\cos ^4 \\theta=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040191": {
+        "id": "040191",
+        "content": "已知$\\dfrac{\\pi}{2}<\\boldsymbol{\\alpha}<\\pi$, $-\\pi<\\beta<0$, $\\tan \\alpha=-\\dfrac{1}{3}$, $\\tan \\beta=-\\dfrac{1}{7}$, 则$2 \\alpha+\\beta$的大小为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040192": {
+        "id": "040192",
+        "content": "已知$\\dfrac{\\pi}{2}<\\alpha<\\pi$, 且$\\sin \\alpha=\\dfrac{3}{5}$, $\\tan (\\alpha-\\beta)=-1$, 则$2 \\cos ^2 \\beta-\\dfrac{4}{5} \\tan \\alpha=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040193": {
+        "id": "040193",
+        "content": "若$\\alpha$、$\\beta$均为锐角, 且$\\sin \\alpha=\\dfrac{m}{\\sqrt{1+m^2}}, \\tan \\beta=\\dfrac{1}{m}$, 则$\\alpha+\\beta$的值为\\bracket{20}.\n\\fourch{$150^{\\circ}$}{$120^{\\circ}$}{$90^{\\circ}$}{$60^{\\circ}$}",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040194": {
+        "id": "040194",
+        "content": "若$\\sin 2 x \\sin 3 x=\\cos 2 x \\cos 3 x$, 则$x$的一个值是\\bracket{20}.\n\\fourch{$18^{\\circ}$}{$36^{\\circ}$}{$30^{\\circ}$}{$45^{\\circ}$}",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040195": {
+        "id": "040195",
+        "content": "下列关系中, 角$\\alpha$存在的是\\bracket{20}.\n\\twoch{$\\sin \\alpha+\\cos \\alpha=\\dfrac{3}{2}$}{$\\sin \\alpha+\\cos \\alpha=\\dfrac{4}{3}$}{$\\sin \\alpha=\\dfrac{1}{3}$且$\\cos \\alpha=\\dfrac{2}{3}$}{$\\cos \\alpha-\\sin \\alpha=-\\sqrt{3}$}",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040196": {
+        "id": "040196",
+        "content": "若$f(x)=2^{\\sin x}, g(x)=2^{\\cos x}, x \\in R$, 则积函数$f(x) \\cdot g(x)$必有\\bracket{20}.\n\\fourch{最大值$4$}{最小值$4$}{最大值$2^{\\sqrt{2}}$}{最小值$2^{\\sqrt{2}}$}",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040197": {
+        "id": "040197",
+        "content": "设$\\alpha, \\beta \\in(-\\dfrac{\\pi}{2}, \\dfrac{\\pi}{2})$, $\\tan \\alpha$、$\\tan \\beta$是一元二次方程$x^2+3 \\sqrt{3} x-8=0$的两个根, 求$\\alpha+\\beta$.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040198": {
+        "id": "040198",
+        "content": "已知$\\alpha$是$\\triangle ABC$的一个内角, 且满足$\\sin \\alpha-\\sqrt{3} \\cos \\alpha=\\sqrt{3}$, 求$\\alpha$的值.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040199": {
+        "id": "040199",
+        "content": "已知$5 \\sin \\beta=\\sin (2 \\alpha+\\beta)$, 求$\\tan (\\alpha+\\beta) \\cot \\alpha$的值.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040200": {
+        "id": "040200",
+        "content": "已知$\\dfrac{\\pi}{4}<\\alpha<\\dfrac{\\pi}{2}$, 且$\\dfrac{2 \\sin ^2 \\alpha+\\sin 2 \\alpha}{1+\\tan \\alpha}=k$, 试用$k$表示$\\sin \\alpha-\\cos \\alpha$的值.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040201": {
+        "id": "040201",
+        "content": "已知: $\\cos (\\alpha-\\dfrac{\\beta}{2})=-\\dfrac{1}{9}$, $\\sin (\\dfrac{\\alpha}{2}-\\beta)=\\dfrac{2}{3}$, 且$\\dfrac{\\pi}{2}<\\alpha<\\pi$, $0<\\beta<\\dfrac{\\pi}{2}$. 求$\\cos (\\alpha+\\beta)$的值.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下学期周末卷04",
+        "edit": [
+            "20230308\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
     }
 }
\ No newline at end of file