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 3a2f7d5c..bc05e74c 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": 4,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
@@ -11,7 +11,7 @@
        "0"
       ]
      },
-     "execution_count": 4,
+     "execution_count": 2,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -75,7 +75,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.8.8 ('base')",
+   "display_name": "Python 3.9.13 ('base')",
    "language": "python",
    "name": "python3"
   },
@@ -89,12 +89,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.8"
+   "version": "3.9.13"
   },
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
+    "hash": "ad2bdc8ecc057115af97d19610ffacc2b4e99fae6737bb82f5d7fb13d2f2c186"
    }
   }
  },
diff --git a/工具/关键字筛选题号.ipynb b/工具/关键字筛选题号.ipynb
index 485c2532..e8780c77 100644
--- a/工具/关键字筛选题号.ipynb
+++ b/工具/关键字筛选题号.ipynb
@@ -89,7 +89,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.8.8 ('base')",
+   "display_name": "Python 3.8.15 ('mathdept')",
    "language": "python",
    "name": "python3"
   },
@@ -103,12 +103,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.8"
+   "version": "3.8.15"
   },
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
+    "hash": "42dd566da87765ddbe9b5c5b483063747fec4aacc5469ad554706e4b742e67b2"
    }
   }
  },
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 6f85dea4..d2f083a3 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
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -92,7 +92,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.9.7 ('base')",
+   "display_name": "Python 3.8.15 ('mathdept')",
    "language": "python",
    "name": "python3"
   },
@@ -106,12 +106,12 @@
    "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/在讲义tex文件中提取题号.ipynb b/工具/在讲义tex文件中提取题号.ipynb
index c1141660..52214c45 100644
--- a/工具/在讲义tex文件中提取题号.ipynb
+++ b/工具/在讲义tex文件中提取题号.ipynb
@@ -2,14 +2,18 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "004080,004122,004312,004451,004557,004276,030019,004356,004320,004359,030020,004091,004400,008101,004157,004440,004370,004224,004328,004444,004247\n"
+     "ename": "FileNotFoundError",
+     "evalue": "[Errno 2] No such file or directory: 'C:\\\\Users\\\\weiye\\\\Documents\\\\wwy sync\\\\23届\\\\上学期测验卷\\\\月考01.tex'",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[1;31mFileNotFoundError\u001b[0m                         Traceback (most recent call last)",
+      "\u001b[1;32m~\\AppData\\Local\\Temp\\ipykernel_18232\\1245693629.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m      4\u001b[0m \u001b[0mtex_file\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;34mr\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\上学期测验卷\\月考01.tex\"\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 6\u001b[1;33m \u001b[1;32mwith\u001b[0m \u001b[0mopen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mtex_file\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m\"r\"\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mencoding\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;34m\"utf8\"\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0mf\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      7\u001b[0m     \u001b[0mtex_data\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mf\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mread\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      8\u001b[0m \u001b[0mproblems_list\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mre\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfindall\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34mr\"\\(([\\d]{6})\\)\"\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mtex_data\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
+      "\u001b[1;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'C:\\\\Users\\\\weiye\\\\Documents\\\\wwy sync\\\\23届\\\\上学期测验卷\\\\月考01.tex'"
      ]
     }
    ],
@@ -36,7 +40,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.8.8 ('base')",
+   "display_name": "Python 3.9.13 ('base')",
    "language": "python",
    "name": "python3"
   },
@@ -50,12 +54,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.8"
+   "version": "3.9.13"
   },
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
+    "hash": "ad2bdc8ecc057115af97d19610ffacc2b4e99fae6737bb82f5d7fb13d2f2c186"
    }
   }
  },
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 b54cf393..9de96737 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
@@ -2,90 +2,66 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "36_椭圆与双曲线的概念及性质.tex\n",
-      "008894\n",
+      "38_计数原理与排列组合.tex\n",
+      "007380\n",
       "\n",
       "\n",
-      "002314\n",
+      "003666\n",
       "\n",
       "\n",
-      "000271\n",
+      "007455\n",
       "\n",
       "\n",
-      "009823\n",
+      "007502\n",
       "\n",
       "\n",
-      "030483\n",
+      "007521\n",
       "\n",
       "\n",
-      "002369\n",
+      "010861\n",
       "\n",
       "\n",
-      "008910\n",
+      "009333\n",
       "\n",
       "\n",
-      "003421\n",
+      "007673\n",
       "\n",
       "\n",
-      "008912\n",
+      "002537\n",
       "\n",
       "\n",
-      "030484\n",
+      "002586\n",
       "\n",
       "\n",
-      "002391\n",
+      "007432\n",
       "\n",
       "\n",
-      "002435\n",
+      "002563\n",
       "\n",
       "\n",
-      "003400\n",
+      "009262\n",
       "\n",
       "\n",
-      "002329\n",
+      "007476\n",
       "\n",
       "\n",
-      "008873\n",
+      "007494\n",
       "\n",
       "\n",
-      "002342\n",
+      "003640\n",
       "\n",
       "\n",
-      "010673\n",
+      "009351\n",
       "\n",
       "\n",
-      "002325\n",
-      "\n",
-      "\n",
-      "004717\n",
-      "\n",
-      "\n",
-      "002348\n",
-      "\n",
-      "\n",
-      "009985\n",
-      "\n",
-      "\n",
-      "009830\n",
-      "\n",
-      "\n",
-      "009832\n",
-      "\n",
-      "\n",
-      "002372\n",
-      "\n",
-      "\n",
-      "003431\n",
-      "\n",
-      "\n",
-      "008952\n",
+      "003574\n",
       "\n",
       "\n"
      ]
@@ -95,9 +71,9 @@
     "import os,json,re\n",
     "\n",
     "#这里需要修改, 设定路径与选择文件\n",
-    "fileind = 36\n",
+    "fileind = 38\n",
     "# path = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\上学期测验卷\"\n",
-    "path = r\"C:\\Users\\wang weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\"\n",
+    "path = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\"\n",
     "\n",
     "fileind = fileind - 1\n",
     "with open(\"../题库0.3/Problems.json\",\"r\",encoding = \"utf8\") as f:\n",
@@ -125,7 +101,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.9.7 ('base')",
+   "display_name": "Python 3.8.15 ('mathdept')",
    "language": "python",
    "name": "python3"
   },
@@ -139,12 +115,12 @@
    "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/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 1b9f6e12..dfd8b725 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
@@ -2,25 +2,134 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "题号: 008894 , 字段: ans 中已修改数据: $[1,5)\\cup (5,+\\infty)$\n",
-      "题号: 002314 , 字段: ans 中已修改数据: $(3,4)\\cup (4,5)$\n",
-      "题号: 000271 , 字段: ans 中已修改数据: $\\dfrac{\\sqrt{5}-1}2$\n",
-      "题号: 009823 , 字段: ans 中已修改数据: 最大值为$10$, 最小值为$2$\n",
-      "题号: 030483 , 字段: ans 中已修改数据: $\\pm 1$\n",
-      "题号: 002369 , 字段: ans 中已修改数据: $\\dfrac{x^2}{9/2}-\\dfrac{y^2}{9/2}=1$\n",
-      "题号: 008910 , 字段: ans 中已修改数据: B\n",
-      "题号: 003421 , 字段: ans 中已修改数据: $\\arccos \\dfrac 13$\n",
-      "题号: 008912 , 字段: ans 中已修改数据: $x^2-\\dfrac{y^2}9=1$或$\\dfrac{y^2}{81}-\\dfrac{x^2}9=1$\n",
-      "题号: 030484 , 字段: ans 中已修改数据: $90^{\\circ}$\n",
-      "题号: 002391 , 字段: ans 中已修改数据: (1) $y=x$($x>\\sqrt{2}$或$y<-\\sqrt{2}$); (2) $2x^2-y^2-4x+y=0$, 能取到每一个点\n",
-      "题号: 002435 , 字段: ans 中已修改数据: (1) $y=\\sqrt{3}x+1$; (2) $y=\\dfrac{1+\\sqrt{7}}2x+\\dfrac{1-\\sqrt{7}}2$或$y=\\dfrac{1-\\sqrt{7}}2x+\\dfrac{1+\\sqrt{7}}2$\n"
+      "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"
      ]
     }
    ],
@@ -118,7 +227,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.9.7 ('base')",
+   "display_name": "Python 3.8.15 ('mathdept')",
    "language": "python",
    "name": "python3"
   },
@@ -132,12 +241,12 @@
    "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/文本文件/metadata.txt b/工具/文本文件/metadata.txt
index 66027fd4..f42a380c 100644
--- a/工具/文本文件/metadata.txt
+++ b/工具/文本文件/metadata.txt
@@ -1,37 +1,365 @@
-ans
+usages
 
-008894
-$[1,5)\cup (5,+\infty)$
+002623
+20221208	2023届高三10班	0.800
 
-002314
-$(3,4)\cup (4,5)$
+003764
+20221208	2023届高三10班	1.000
 
-000271
-$\dfrac{\sqrt{5}-1}2$
+007575
+20221208	2023届高三10班	0.800
 
-009823
-最大值为$10$, 最小值为$2$
+007528
+20221208	2023届高三10班	0.714
 
-030483
-$\pm 1$
+030495
+20221208	2023届高三10班	0.629
 
-002369
-$\dfrac{x^2}{9/2}-\dfrac{y^2}{9/2}=1$
+007630
+20221208	2023届高三10班	0.971
 
-008910
-B
+004342
+20221208	2023届高三10班	0.943
 
-003421
-$\arccos \dfrac 13$
+007535
+20221208	2023届高三10班	0.629
 
-008912
-$x^2-\dfrac{y^2}9=1$或$\dfrac{y^2}{81}-\dfrac{x^2}9=1$
+007539
+20221208	2023届高三10班	0.829
 
-030484
-$90^{\circ}$
+007643
+20221208	2023届高三10班	0.771
 
-002391
-(1) $y=x$($x>\sqrt{2}$或$y<-\sqrt{2}$); (2) $2x^2-y^2-4x+y=0$, 能取到每一个点
+004030
+20221208	2023届高三10班	0.400
+
+002623
+20221208	2023届高三11班	0.818
+
+003764
+20221208	2023届高三11班	0.955
+
+007575
+20221208	2023届高三11班	0.727
+
+007528
+20221208	2023届高三11班	0.773
+
+030495
+20221208	2023届高三11班	0.591
+
+007630
+20221208	2023届高三11班	0.818
+
+004342
+20221208	2023届高三11班	0.636
+
+007535
+20221208	2023届高三11班	0.409
+
+007539
+20221208	2023届高三11班	0.727
+
+007643
+20221208	2023届高三11班	0.409
+
+004030
+20221208	2023届高三11班	0.318
+
+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
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+
+030495
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+
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+
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+
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+
+007643
+20221208	2023届高三05班	0.769
+
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+20221208	2023届高三05班	0.487
+
+002623
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+
+003764
+20221208	2023届高三06班	1.000
+
+007575
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+
+007528
+20221208	2023届高三06班	0.692
+
+030495
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+
+007630
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+
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+
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+
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+
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+
+004030
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+
+002623
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+
+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
+
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+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
 
-002435
-(1) $y=\sqrt{3}x+1$; (2) $y=\dfrac{1+\sqrt{7}}2x+\dfrac{1-\sqrt{7}}2$或$y=\dfrac{1-\sqrt{7}}2x+\dfrac{1+\sqrt{7}}2$
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 c386d27a..50a53343 100644
--- a/工具/题号选题pdf生成.ipynb
+++ b/工具/题号选题pdf生成.ipynb
@@ -9,9 +9,9 @@
      "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_20221205.tex\n",
+      "开始编译教师版本pdf文件:  临时文件/题库_教师用_20221208.tex\n",
       "0\n",
-      "开始编译学生版本pdf文件:  临时文件/题库_学生用_20221205.tex\n",
+      "开始编译学生版本pdf文件:  临时文件/题库_学生用_20221208.tex\n",
       "0\n"
      ]
     }
@@ -174,7 +174,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.8.8 ('base')",
+   "display_name": "Python 3.8.15 ('mathdept')",
    "language": "python",
    "name": "python3"
   },
@@ -188,12 +188,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.8"
+   "version": "3.8.15"
   },
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
+    "hash": "42dd566da87765ddbe9b5c5b483063747fec4aacc5469ad554706e4b742e67b2"
    }
   }
  },
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index bee88d93..65de039a 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -24950,7 +24950,19 @@
         "solution": "",
         "duration": -1,
         "usages": [
-            "20220607\t2022届高三01班\t0.767"
+            "20220607\t2022届高三01班\t0.767",
+            "20221208\t2023届高三10班\t0.946",
+            "20221208\t2023届高三11班\t0.905",
+            "20221208\t2023届高三12班\t0.900",
+            "20221208\t2023届高三01班\t0.933",
+            "20221208\t2023届高三02班\t0.833",
+            "20221208\t2023届高三03班\t0.808",
+            "20221208\t2023届高三04班\t0.963",
+            "20221208\t2023届高三05班\t0.923",
+            "20221208\t2023届高三06班\t0.972",
+            "20221208\t2023届高三07班\t0.920",
+            "20221208\t2023届高三08班\t0.926",
+            "20221208\t2023届高三09班\t0.840"
         ],
         "origin": "赋能练习",
         "edit": [
@@ -64045,10 +64057,23 @@
             "椭圆"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$2x+4y-3=0$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.730",
+            "20221208\t2023届高三11班\t0.714",
+            "20221208\t2023届高三12班\t0.850",
+            "20221208\t2023届高三01班\t0.733",
+            "20221208\t2023届高三02班\t0.833",
+            "20221208\t2023届高三03班\t0.808",
+            "20221208\t2023届高三04班\t0.259",
+            "20221208\t2023届高三05班\t0.795",
+            "20221208\t2023届高三06班\t0.833",
+            "20221208\t2023届高三07班\t0.200",
+            "20221208\t2023届高三08班\t0.778",
+            "20221208\t2023届高三09班\t0.720"
+        ],
         "origin": "2016届创新班作业\t3161-椭圆[2]",
         "edit": [
             "20220625\t王伟叶"
@@ -64142,10 +64167,23 @@
             "椭圆"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{y^2}{25}+\\dfrac{x^2}{16}=1$或$\\dfrac{x^2}{25}+\\dfrac{y^2}{9}=1$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.892",
+            "20221208\t2023届高三11班\t0.857",
+            "20221208\t2023届高三12班\t0.800",
+            "20221208\t2023届高三01班\t0.833",
+            "20221208\t2023届高三02班\t0.667",
+            "20221208\t2023届高三03班\t0.923",
+            "20221208\t2023届高三04班\t0.815",
+            "20221208\t2023届高三05班\t0.821",
+            "20221208\t2023届高三06班\t0.944",
+            "20221208\t2023届高三07班\t0.760",
+            "20221208\t2023届高三08班\t0.852",
+            "20221208\t2023届高三09班\t0.680"
+        ],
         "origin": "2016届创新班作业\t3162-椭圆[3]",
         "edit": [
             "20220625\t王伟叶"
@@ -64454,10 +64492,23 @@
             "椭圆"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{3}-1$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.811",
+            "20221208\t2023届高三11班\t0.667",
+            "20221208\t2023届高三12班\t0.850",
+            "20221208\t2023届高三01班\t0.833",
+            "20221208\t2023届高三02班\t0.700",
+            "20221208\t2023届高三03班\t0.846",
+            "20221208\t2023届高三04班\t0.852",
+            "20221208\t2023届高三05班\t0.897",
+            "20221208\t2023届高三06班\t0.917",
+            "20221208\t2023届高三07班\t0.880",
+            "20221208\t2023届高三08班\t0.815",
+            "20221208\t2023届高三09班\t0.680"
+        ],
         "origin": "2016届创新班作业\t3163-椭圆[4]",
         "edit": [
             "20220625\t王伟叶"
@@ -64599,10 +64650,23 @@
             "双曲线"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\sqrt{5},0)$或$(\\sqrt{5},0)$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.919",
+            "20221208\t2023届高三11班\t1.000",
+            "20221208\t2023届高三12班\t0.950",
+            "20221208\t2023届高三01班\t0.967",
+            "20221208\t2023届高三02班\t0.833",
+            "20221208\t2023届高三03班\t0.885",
+            "20221208\t2023届高三04班\t0.963",
+            "20221208\t2023届高三05班\t0.692",
+            "20221208\t2023届高三06班\t0.917",
+            "20221208\t2023届高三07班\t0.920",
+            "20221208\t2023届高三08班\t0.963",
+            "20221208\t2023届高三09班\t0.920"
+        ],
         "origin": "2016届创新班作业\t3164-双曲线[1]",
         "edit": [
             "20220625\t王伟叶"
@@ -65190,10 +65254,23 @@
             "双曲线"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{x^2}{64/9}-\\dfrac{y^2}4=1$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.757",
+            "20221208\t2023届高三11班\t0.524",
+            "20221208\t2023届高三12班\t0.650",
+            "20221208\t2023届高三01班\t0.867",
+            "20221208\t2023届高三02班\t0.700",
+            "20221208\t2023届高三03班\t0.808",
+            "20221208\t2023届高三04班\t0.741",
+            "20221208\t2023届高三05班\t0.872",
+            "20221208\t2023届高三06班\t0.750",
+            "20221208\t2023届高三07班\t0.720",
+            "20221208\t2023届高三08班\t0.852",
+            "20221208\t2023届高三09班\t0.680"
+        ],
         "origin": "2016届创新班作业\t3166-双曲线[3]",
         "edit": [
             "20220625\t王伟叶"
@@ -69465,7 +69542,7 @@
             "排列"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3720$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -69803,7 +69880,19 @@
         "duration": -1,
         "usages": [
             "2016届11班\t1.000",
-            "2016届12班\t0.974"
+            "2016届12班\t0.974",
+            "20221208\t2023届高三10班\t0.941",
+            "20221208\t2023届高三11班\t0.750",
+            "20221208\t2023届高三12班\t0.870",
+            "20221208\t2023届高三01班\t0.966",
+            "20221208\t2023届高三02班\t0.967",
+            "20221208\t2023届高三03班\t1.000",
+            "20221208\t2023届高三04班\t0.926",
+            "20221208\t2023届高三05班\t0.842",
+            "20221208\t2023届高三06班\t0.974",
+            "20221208\t2023届高三07班\t0.769",
+            "20221208\t2023届高三08班\t0.933",
+            "20221208\t2023届高三09班\t0.933"
         ],
         "origin": "2016届创新班作业\t4114-排列与排列数",
         "edit": [
@@ -70141,7 +70230,7 @@
             "排列"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1-\\dfrac{1}{(n+1)!}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -70773,7 +70862,7 @@
             "加法原理与乘法原理"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$45213$, $88$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -71188,7 +71277,19 @@
         "duration": -1,
         "usages": [
             "2016届11班\t0.974",
-            "2016届12班\t0.974"
+            "2016届12班\t0.974",
+            "20221208\t2023届高三10班\t0.765",
+            "20221208\t2023届高三11班\t0.750",
+            "20221208\t2023届高三12班\t0.826",
+            "20221208\t2023届高三01班\t0.897",
+            "20221208\t2023届高三02班\t0.500",
+            "20221208\t2023届高三03班\t0.962",
+            "20221208\t2023届高三04班\t0.852",
+            "20221208\t2023届高三05班\t0.842",
+            "20221208\t2023届高三06班\t0.868",
+            "20221208\t2023届高三07班\t0.769",
+            "20221208\t2023届高三08班\t0.967",
+            "20221208\t2023届高三09班\t0.767"
         ],
         "origin": "2016届创新班作业\t4117-计数问题实例",
         "edit": [
@@ -71266,7 +71367,19 @@
         "duration": -1,
         "usages": [
             "2016届11班\t0.744",
-            "2016届12班\t0.816"
+            "2016届12班\t0.816",
+            "20221208\t2023届高三10班\t0.853",
+            "20221208\t2023届高三11班\t0.550",
+            "20221208\t2023届高三12班\t0.826",
+            "20221208\t2023届高三01班\t0.759",
+            "20221208\t2023届高三02班\t0.667",
+            "20221208\t2023届高三03班\t0.577",
+            "20221208\t2023届高三04班\t0.704",
+            "20221208\t2023届高三05班\t0.842",
+            "20221208\t2023届高三06班\t0.684",
+            "20221208\t2023届高三07班\t0.769",
+            "20221208\t2023届高三08班\t0.800",
+            "20221208\t2023届高三09班\t0.733"
         ],
         "origin": "2016届创新班作业\t4117-计数问题实例",
         "edit": [
@@ -71753,7 +71866,19 @@
         "duration": -1,
         "usages": [
             "2016届11班\t0.949",
-            "2016届12班\t0.892"
+            "2016届12班\t0.892",
+            "20221208\t2023届高三02班\t0.839",
+            "20221208\t2023届高三10班\t0.800",
+            "20221208\t2023届高三11班\t0.818",
+            "20221208\t2023届高三12班\t0.917",
+            "20221208\t2023届高三01班\t0.840",
+            "20221208\t2023届高三03班\t0.923",
+            "20221208\t2023届高三04班\t0.923",
+            "20221208\t2023届高三05班\t0.897",
+            "20221208\t2023届高三06班\t0.949",
+            "20221208\t2023届高三07班\t0.929",
+            "20221208\t2023届高三08班\t0.857",
+            "20221208\t2023届高三09班\t0.857"
         ],
         "origin": "2016届创新班作业\t4119-二项式定理[2]",
         "edit": [
@@ -91695,10 +91820,23 @@
             "椭圆"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(4,5)$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.946",
+            "20221208\t2023届高三11班\t0.809",
+            "20221208\t2023届高三12班\t1.000",
+            "20221208\t2023届高三01班\t0.900",
+            "20221208\t2023届高三02班\t0.800",
+            "20221208\t2023届高三03班\t0.846",
+            "20221208\t2023届高三04班\t0.704",
+            "20221208\t2023届高三05班\t0.769",
+            "20221208\t2023届高三06班\t0.861",
+            "20221208\t2023届高三07班\t0.840",
+            "20221208\t2023届高三08班\t0.852",
+            "20221208\t2023届高三09班\t1.000"
+        ],
         "origin": "2022届高三第一轮复习讲义",
         "edit": [
             "20220701\t王伟叶"
@@ -92455,10 +92593,23 @@
             "双曲线"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.649",
+            "20221208\t2023届高三11班\t0.524",
+            "20221208\t2023届高三12班\t0.900",
+            "20221208\t2023届高三01班\t0.767",
+            "20221208\t2023届高三02班\t0.733",
+            "20221208\t2023届高三03班\t0.769",
+            "20221208\t2023届高三04班\t0.704",
+            "20221208\t2023届高三05班\t0.615",
+            "20221208\t2023届高三06班\t0.722",
+            "20221208\t2023届高三07班\t0.720",
+            "20221208\t2023届高三08班\t0.667",
+            "20221208\t2023届高三09班\t0.720"
+        ],
         "origin": "2022届高三第一轮复习讲义",
         "edit": [
             "20220701\t王伟叶"
@@ -95925,7 +96076,20 @@
         "ans": "$\\mathrm{P}_{34-m}^8$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.882",
+            "20221208\t2023届高三11班\t0.700",
+            "20221208\t2023届高三12班\t0.913",
+            "20221208\t2023届高三01班\t1.000",
+            "20221208\t2023届高三02班\t0.667",
+            "20221208\t2023届高三03班\t0.846",
+            "20221208\t2023届高三04班\t0.741",
+            "20221208\t2023届高三05班\t0.868",
+            "20221208\t2023届高三06班\t0.842",
+            "20221208\t2023届高三07班\t0.769",
+            "20221208\t2023届高三08班\t0.733",
+            "20221208\t2023届高三09班\t0.767"
+        ],
         "origin": "2022届高三第一轮复习讲义",
         "edit": [
             "20220701\t王伟叶"
@@ -96082,7 +96246,7 @@
             "概率"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0.985$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -96245,7 +96409,20 @@
         "ans": "$407$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.765",
+            "20221208\t2023届高三11班\t0.300",
+            "20221208\t2023届高三12班\t0.565",
+            "20221208\t2023届高三01班\t0.621",
+            "20221208\t2023届高三02班\t0.500",
+            "20221208\t2023届高三03班\t0.500",
+            "20221208\t2023届高三04班\t0.296",
+            "20221208\t2023届高三05班\t0.474",
+            "20221208\t2023届高三06班\t0.500",
+            "20221208\t2023届高三07班\t0.462",
+            "20221208\t2023届高三08班\t0.633",
+            "20221208\t2023届高三09班\t0.600"
+        ],
         "origin": "2022届高三第一轮复习讲义",
         "edit": [
             "20220701\t王伟叶"
@@ -97734,7 +97911,7 @@
             "概率"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{27}{100}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -98400,7 +98577,7 @@
             "加法原理与乘法原理"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -100787,7 +100964,20 @@
         "ans": "$-2$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三02班\t0.935",
+            "20221208\t2023届高三10班\t1.000",
+            "20221208\t2023届高三11班\t0.955",
+            "20221208\t2023届高三12班\t1.000",
+            "20221208\t2023届高三01班\t1.000",
+            "20221208\t2023届高三03班\t1.000",
+            "20221208\t2023届高三04班\t1.000",
+            "20221208\t2023届高三05班\t0.974",
+            "20221208\t2023届高三06班\t1.000",
+            "20221208\t2023届高三07班\t0.964",
+            "20221208\t2023届高三08班\t1.000",
+            "20221208\t2023届高三09班\t0.964"
+        ],
         "origin": "2016年双基百分百",
         "edit": [
             "20220701\t王伟叶"
@@ -107025,7 +107215,20 @@
         "ans": "证明略",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三02班\t0.581",
+            "20221208\t2023届高三10班\t0.400",
+            "20221208\t2023届高三11班\t0.318",
+            "20221208\t2023届高三12班\t0.292",
+            "20221208\t2023届高三01班\t0.880",
+            "20221208\t2023届高三03班\t0.692",
+            "20221208\t2023届高三04班\t0.615",
+            "20221208\t2023届高三05班\t0.487",
+            "20221208\t2023届高三06班\t0.564",
+            "20221208\t2023届高三07班\t0.607",
+            "20221208\t2023届高三08班\t0.536",
+            "20221208\t2023届高三09班\t0.143"
+        ],
         "origin": "教材复习题",
         "edit": [
             "20220703\t王伟叶"
@@ -107879,7 +108082,19 @@
         "solution": "",
         "duration": -1,
         "usages": [
-            "20220301\t2022届高三01班\t0.860"
+            "20220301\t2022届高三01班\t0.860",
+            "20221208\t2023届高三10班\t0.946",
+            "20221208\t2023届高三11班\t0.952",
+            "20221208\t2023届高三12班\t0.850",
+            "20221208\t2023届高三01班\t1.000",
+            "20221208\t2023届高三02班\t0.967",
+            "20221208\t2023届高三03班\t0.846",
+            "20221208\t2023届高三04班\t0.667",
+            "20221208\t2023届高三05班\t0.897",
+            "20221208\t2023届高三06班\t0.972",
+            "20221208\t2023届高三07班\t0.720",
+            "20221208\t2023届高三08班\t0.889",
+            "20221208\t2023届高三09班\t0.960"
         ],
         "origin": "2022届高三下学期测验卷01第6题",
         "edit": [
@@ -115385,7 +115600,19 @@
         "solution": "",
         "duration": -1,
         "usages": [
-            "20220630\t2022届高三01班\t0.953"
+            "20220630\t2022届高三01班\t0.953",
+            "20221208\t2023届高三02班\t0.935",
+            "20221208\t2023届高三10班\t0.943",
+            "20221208\t2023届高三11班\t0.636",
+            "20221208\t2023届高三12班\t0.875",
+            "20221208\t2023届高三01班\t0.800",
+            "20221208\t2023届高三03班\t0.808",
+            "20221208\t2023届高三04班\t0.846",
+            "20221208\t2023届高三05班\t0.923",
+            "20221208\t2023届高三06班\t0.949",
+            "20221208\t2023届高三07班\t0.857",
+            "20221208\t2023届高三08班\t0.821",
+            "20221208\t2023届高三09班\t0.643"
         ],
         "origin": "2022届高三下学期测验卷14第11题",
         "edit": [
@@ -125706,11 +125933,23 @@
             "椭圆"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
-            "20220414\t2022届高三\t0.946"
+            "20220414\t2022届高三\t0.946",
+            "20221208\t2023届高三10班\t0.946",
+            "20221208\t2023届高三11班\t0.714",
+            "20221208\t2023届高三12班\t0.850",
+            "20221208\t2023届高三01班\t0.967",
+            "20221208\t2023届高三02班\t0.933",
+            "20221208\t2023届高三03班\t0.923",
+            "20221208\t2023届高三04班\t0.852",
+            "20221208\t2023届高三05班\t0.872",
+            "20221208\t2023届高三06班\t0.972",
+            "20221208\t2023届高三07班\t0.800",
+            "20221208\t2023届高三08班\t0.815",
+            "20221208\t2023届高三09班\t0.800"
         ],
         "origin": "2022届高三下期中区统考第15题",
         "edit": [
@@ -186970,7 +187209,20 @@
         "ans": "$36$",
         "solution": "设$4$件奖品为$a$, $b$, $c$, $d$, 显然, 要将它们分成$2, 1, 1$三组, 因此第一步是组合, 得$\\mathrm{C}_4^2$; 我们假定$\\{a,b\\}\\{c\\}\\{d\\}$ 是一种组合, 再让它们坐到甲、乙、丙三个位置上去, 因此第二步是排列, 得$\\mathrm{P}_3^3$.\n所以不同的奖励法共有$N=\\mathrm{C}_4^2\\mathrm{P}_3^3=36$(种).",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.706",
+            "20221208\t2023届高三11班\t0.550",
+            "20221208\t2023届高三12班\t0.739",
+            "20221208\t2023届高三01班\t0.931",
+            "20221208\t2023届高三02班\t0.600",
+            "20221208\t2023届高三03班\t0.769",
+            "20221208\t2023届高三04班\t0.963",
+            "20221208\t2023届高三05班\t0.895",
+            "20221208\t2023届高三06班\t0.842",
+            "20221208\t2023届高三07班\t0.885",
+            "20221208\t2023届高三08班\t0.833",
+            "20221208\t2023届高三09班\t0.833"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -187082,7 +187334,20 @@
         "ans": "B",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.500",
+            "20221208\t2023届高三11班\t0.500",
+            "20221208\t2023届高三12班\t0.435",
+            "20221208\t2023届高三01班\t0.724",
+            "20221208\t2023届高三02班\t0.867",
+            "20221208\t2023届高三03班\t0.615",
+            "20221208\t2023届高三04班\t0.667",
+            "20221208\t2023届高三05班\t0.711",
+            "20221208\t2023届高三06班\t0.579",
+            "20221208\t2023届高三07班\t0.500",
+            "20221208\t2023届高三08班\t0.500",
+            "20221208\t2023届高三09班\t0.500"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -187126,7 +187391,20 @@
         "ans": "A",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.941",
+            "20221208\t2023届高三11班\t0.950",
+            "20221208\t2023届高三12班\t0.870",
+            "20221208\t2023届高三01班\t0.966",
+            "20221208\t2023届高三02班\t1.000",
+            "20221208\t2023届高三03班\t1.000",
+            "20221208\t2023届高三04班\t0.926",
+            "20221208\t2023届高三05班\t0.921",
+            "20221208\t2023届高三06班\t1.000",
+            "20221208\t2023届高三07班\t0.692",
+            "20221208\t2023届高三08班\t0.900",
+            "20221208\t2023届高三09班\t0.967"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -187192,7 +187470,20 @@
         "ans": "$63$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.882",
+            "20221208\t2023届高三11班\t0.700",
+            "20221208\t2023届高三12班\t0.696",
+            "20221208\t2023届高三01班\t0.724",
+            "20221208\t2023届高三02班\t0.933",
+            "20221208\t2023届高三03班\t0.731",
+            "20221208\t2023届高三04班\t0.741",
+            "20221208\t2023届高三05班\t0.737",
+            "20221208\t2023届高三06班\t0.684",
+            "20221208\t2023届高三07班\t0.692",
+            "20221208\t2023届高三08班\t0.900",
+            "20221208\t2023届高三09班\t0.733"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -187302,7 +187593,20 @@
         "ans": "$13$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t1.000",
+            "20221208\t2023届高三11班\t0.950",
+            "20221208\t2023届高三12班\t0.957",
+            "20221208\t2023届高三01班\t1.000",
+            "20221208\t2023届高三02班\t0.900",
+            "20221208\t2023届高三03班\t0.962",
+            "20221208\t2023届高三04班\t0.852",
+            "20221208\t2023届高三05班\t0.868",
+            "20221208\t2023届高三06班\t0.947",
+            "20221208\t2023届高三07班\t0.846",
+            "20221208\t2023届高三08班\t0.933",
+            "20221208\t2023届高三09班\t0.767"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -187395,7 +187699,7 @@
             "加法原理与乘法原理"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -188356,7 +188660,20 @@
         "ans": "(1) $37440$; (2) $4320$; (3) $14400$; (4) $6720$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.706\t0.941\t0.794\t0.824",
+            "20221208\t2023届高三11班\t0.800\t1.000\t0.850\t0.800",
+            "20221208\t2023届高三12班\t0.652\t1.000\t0.826\t0.696",
+            "20221208\t2023届高三01班\t0.793\t1.000\t0.897\t1.000",
+            "20221208\t2023届高三02班\t0.533\t0.933\t0.633\t0.667",
+            "20221208\t2023届高三03班\t0.731\t1.000\t0.808\t0.885",
+            "20221208\t2023届高三04班\t0.778\t0.963\t0.741\t0.741",
+            "20221208\t2023届高三05班\t0.816\t1.000\t0.763\t0.789",
+            "20221208\t2023届高三06班\t0.737\t1.000\t0.658\t0.842",
+            "20221208\t2023届高三07班\t0.692\t0.885\t0.692\t0.577",
+            "20221208\t2023届高三08班\t0.700\t0.900\t0.600\t0.700",
+            "20221208\t2023届高三09班\t0.800\t1.000\t0.733\t0.600"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -188553,7 +188870,7 @@
             "排列"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $72$; (2) $72$; (3) $72$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -188887,7 +189204,20 @@
         "ans": "$0$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.941",
+            "20221208\t2023届高三11班\t0.900",
+            "20221208\t2023届高三12班\t0.870",
+            "20221208\t2023届高三01班\t0.966",
+            "20221208\t2023届高三02班\t0.867",
+            "20221208\t2023届高三03班\t1.000",
+            "20221208\t2023届高三04班\t0.926",
+            "20221208\t2023届高三05班\t0.921",
+            "20221208\t2023届高三06班\t0.868",
+            "20221208\t2023届高三07班\t0.885",
+            "20221208\t2023届高三08班\t0.867",
+            "20221208\t2023届高三09班\t0.867"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -188960,7 +189290,20 @@
         "ans": "$5985$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.882",
+            "20221208\t2023届高三11班\t0.650",
+            "20221208\t2023届高三12班\t0.739",
+            "20221208\t2023届高三01班\t0.931",
+            "20221208\t2023届高三02班\t0.900",
+            "20221208\t2023届高三03班\t0.808",
+            "20221208\t2023届高三04班\t0.630",
+            "20221208\t2023届高三05班\t0.842",
+            "20221208\t2023届高三06班\t0.789",
+            "20221208\t2023届高三07班\t0.923",
+            "20221208\t2023届高三08班\t0.867",
+            "20221208\t2023届高三09班\t0.867"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -189075,7 +189418,7 @@
             "加法原理与乘法原理"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$120$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -189555,7 +189898,7 @@
             "组合"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$或$6$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -189961,7 +190304,7 @@
             "组合"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -190144,7 +190487,7 @@
             "加法原理与乘法原理"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$20$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -190236,7 +190579,20 @@
         "ans": "$120$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.706",
+            "20221208\t2023届高三11班\t0.550",
+            "20221208\t2023届高三12班\t0.696",
+            "20221208\t2023届高三01班\t0.862",
+            "20221208\t2023届高三02班\t0.700",
+            "20221208\t2023届高三03班\t0.692",
+            "20221208\t2023届高三04班\t0.444",
+            "20221208\t2023届高三05班\t0.632",
+            "20221208\t2023届高三06班\t0.553",
+            "20221208\t2023届高三07班\t0.692",
+            "20221208\t2023届高三08班\t0.633",
+            "20221208\t2023届高三09班\t0.633"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -190572,7 +190928,7 @@
             "组合"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$2520$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -190742,7 +191098,20 @@
         "ans": "有$17$项是有理项",
         "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": [
+            "20221208\t2023届高三02班\t0.742",
+            "20221208\t2023届高三10班\t0.714",
+            "20221208\t2023届高三11班\t0.773",
+            "20221208\t2023届高三12班\t0.792",
+            "20221208\t2023届高三01班\t0.960",
+            "20221208\t2023届高三03班\t0.885",
+            "20221208\t2023届高三04班\t0.538",
+            "20221208\t2023届高三05班\t0.744",
+            "20221208\t2023届高三06班\t0.692",
+            "20221208\t2023届高三07班\t0.679",
+            "20221208\t2023届高三08班\t0.750",
+            "20221208\t2023届高三09班\t0.679"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -190916,7 +191285,20 @@
         "ans": "证明略",
         "solution": "记$S_n=0\\mathrm{C}_n^0+1\\cdot \\mathrm{C}_n^1+2\\mathrm{C}_n^2+3\\mathrm{C}_n^3+\\cdots +(n-1)\\mathrm{C}_n^{n-1}+n\\mathrm{C}_n^n$,\n又$S_n=n\\mathrm{C}_n^n+(n-1)\\mathrm{C}_n^{n-1}+\\cdots +1\\cdot \\mathrm{C}_n^1+0\\mathrm{C}_n^0$,\n两式相加, 并利用$\\mathrm{C}_n^m=\\mathrm{C}_n^{n-m}$, 得$2S_n=n(\\mathrm{C}_n^0+\\mathrm{C}_n^1+\\mathrm{C}_n^2+\\cdots +\\mathrm{C}_n^n)=n\\cdot 2^n$,\n所以$S_n=n\\cdot 2^{n-1}$($n\\in \\mathbf{N}$).",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三02班\t0.710",
+            "20221208\t2023届高三10班\t0.629",
+            "20221208\t2023届高三11班\t0.409",
+            "20221208\t2023届高三12班\t0.750",
+            "20221208\t2023届高三01班\t0.880",
+            "20221208\t2023届高三03班\t0.846",
+            "20221208\t2023届高三04班\t0.808",
+            "20221208\t2023届高三05班\t0.795",
+            "20221208\t2023届高三06班\t0.795",
+            "20221208\t2023届高三07班\t0.714",
+            "20221208\t2023届高三08班\t0.536",
+            "20221208\t2023届高三09班\t0.429"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -191014,7 +191396,20 @@
         "ans": "余数为$8$",
         "solution": "因为$53^{53}=(54-1)^{53}$\n\\blank{50}$=54^{53}-\\mathrm{C}_{53}^1\\cdot 54^{52}+\\mathrm{C}_{53}^2\\cdot 54^{51}-\\mathrm{C}_{53}^3\\cdot 54^{50}+\\cdots +\\mathrm{C}_{53}^{52}\\cdot 54-1$\n\\blank{50}$=9A-1=9A-9+8=9B+8$($A,B\\in \\mathbf{Z}$),\n所以所求余数为8.",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三02班\t0.774",
+            "20221208\t2023届高三10班\t0.829",
+            "20221208\t2023届高三11班\t0.727",
+            "20221208\t2023届高三12班\t0.792",
+            "20221208\t2023届高三01班\t0.920",
+            "20221208\t2023届高三03班\t0.808",
+            "20221208\t2023届高三04班\t0.654",
+            "20221208\t2023届高三05班\t0.846",
+            "20221208\t2023届高三06班\t0.846",
+            "20221208\t2023届高三07班\t0.750",
+            "20221208\t2023届高三08班\t0.893",
+            "20221208\t2023届高三09班\t0.714"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -191891,7 +192286,20 @@
         "ans": "D",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三02班\t0.839",
+            "20221208\t2023届高三10班\t0.800",
+            "20221208\t2023届高三11班\t0.727",
+            "20221208\t2023届高三12班\t0.833",
+            "20221208\t2023届高三01班\t1.000",
+            "20221208\t2023届高三03班\t0.846",
+            "20221208\t2023届高三04班\t0.885",
+            "20221208\t2023届高三05班\t0.872",
+            "20221208\t2023届高三06班\t0.795",
+            "20221208\t2023届高三07班\t0.929",
+            "20221208\t2023届高三08班\t0.929",
+            "20221208\t2023届高三09班\t0.821"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -193230,7 +193638,20 @@
         "ans": "0",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三02班\t0.742",
+            "20221208\t2023届高三10班\t0.971",
+            "20221208\t2023届高三11班\t0.818",
+            "20221208\t2023届高三12班\t0.917",
+            "20221208\t2023届高三01班\t0.920",
+            "20221208\t2023届高三03班\t0.731",
+            "20221208\t2023届高三04班\t0.654",
+            "20221208\t2023届高三05班\t0.949",
+            "20221208\t2023届高三06班\t0.923",
+            "20221208\t2023届高三07班\t0.857",
+            "20221208\t2023届高三08班\t0.714",
+            "20221208\t2023届高三09班\t0.893"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶",
@@ -193543,7 +193964,20 @@
         "ans": "$a$的最小正值为$4$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三02班\t0.677",
+            "20221208\t2023届高三10班\t0.771",
+            "20221208\t2023届高三11班\t0.409",
+            "20221208\t2023届高三12班\t0.500",
+            "20221208\t2023届高三01班\t0.800",
+            "20221208\t2023届高三03班\t0.615",
+            "20221208\t2023届高三04班\t0.115",
+            "20221208\t2023届高三05班\t0.769",
+            "20221208\t2023届高三06班\t0.872",
+            "20221208\t2023届高三07班\t0.107",
+            "20221208\t2023届高三08班\t0.500",
+            "20221208\t2023届高三09班\t0.464"
+        ],
         "origin": "代数精编第九章排列组合",
         "edit": [
             "20220720\t王伟叶"
@@ -194251,7 +194685,7 @@
             "加法原理与乘法原理"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$78120$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -222789,10 +223223,23 @@
             "椭圆"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{x^2}{100}+\\dfrac{y^2}{64}=1$; (2) $\\dfrac{x^2}{6}+\\dfrac{y^2}{4}=1$; (3) $\\dfrac{x^2}8+\\dfrac{y^2}4=1$或$\\dfrac{y^2}8+\\dfrac{x^2}4=1$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.946\t0.946\t0.892",
+            "20221208\t2023届高三11班\t0.952\t0.762\t0.619",
+            "20221208\t2023届高三12班\t0.950\t0.700\t0.800",
+            "20221208\t2023届高三01班\t0.967\t0.900\t0.867",
+            "20221208\t2023届高三02班\t0.900\t0.867\t0.767",
+            "20221208\t2023届高三03班\t0.923\t1.000\t0.692",
+            "20221208\t2023届高三04班\t0.926\t0.963\t0.778",
+            "20221208\t2023届高三05班\t0.923\t0.846\t0.692",
+            "20221208\t2023届高三06班\t0.889\t0.972\t0.806",
+            "20221208\t2023届高三07班\t0.960\t0.960\t0.680",
+            "20221208\t2023届高三08班\t0.852\t0.889\t0.815",
+            "20221208\t2023届高三09班\t0.960\t0.880\t0.680"
+        ],
         "origin": "二期课改练习册高二第二学期",
         "edit": [
             "20220726\t王伟叶"
@@ -224815,10 +225262,23 @@
             "双曲线"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "斜率为$2$, 但是判别式小于零, 故直线不存在.",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.351",
+            "20221208\t2023届高三11班\t0.381",
+            "20221208\t2023届高三12班\t0.500",
+            "20221208\t2023届高三01班\t0.833",
+            "20221208\t2023届高三02班\t0.567",
+            "20221208\t2023届高三03班\t0.577",
+            "20221208\t2023届高三04班\t0.444",
+            "20221208\t2023届高三05班\t0.692",
+            "20221208\t2023届高三06班\t0.611",
+            "20221208\t2023届高三07班\t0.520",
+            "20221208\t2023届高三08班\t0.370",
+            "20221208\t2023届高三09班\t0.400"
+        ],
         "origin": "二期课改练习册高二第二学期",
         "edit": [
             "20220726\t王伟叶"
@@ -231595,7 +232055,20 @@
         "ans": "$100$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.941",
+            "20221208\t2023届高三11班\t1.000",
+            "20221208\t2023届高三12班\t1.000",
+            "20221208\t2023届高三01班\t0.931",
+            "20221208\t2023届高三02班\t1.000",
+            "20221208\t2023届高三03班\t0.962",
+            "20221208\t2023届高三04班\t1.000",
+            "20221208\t2023届高三05班\t0.947",
+            "20221208\t2023届高三06班\t0.868",
+            "20221208\t2023届高三07班\t0.923",
+            "20221208\t2023届高三08班\t0.933",
+            "20221208\t2023届高三09班\t0.967"
+        ],
         "origin": "二期课改练习册高三",
         "edit": [
             "20220726\t王伟叶"
@@ -231774,7 +232247,7 @@
             "排列"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $6$; (2) $5$; (3) $4$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -233401,7 +233874,7 @@
             "组合"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$375$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -233821,7 +234294,7 @@
             "概率"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{11}{21}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -233918,7 +234391,20 @@
         "ans": "$\\dfrac{3439}{10000}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.559",
+            "20221208\t2023届高三11班\t0.450",
+            "20221208\t2023届高三12班\t0.652",
+            "20221208\t2023届高三01班\t0.931",
+            "20221208\t2023届高三02班\t0.533",
+            "20221208\t2023届高三03班\t0.692",
+            "20221208\t2023届高三04班\t0.593",
+            "20221208\t2023届高三05班\t0.789",
+            "20221208\t2023届高三06班\t0.553",
+            "20221208\t2023届高三07班\t0.615",
+            "20221208\t2023届高三08班\t0.467",
+            "20221208\t2023届高三09班\t0.600"
+        ],
         "origin": "二期课改练习册高三",
         "edit": [
             "20220726\t王伟叶"
@@ -244981,10 +245467,23 @@
             "双曲线"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t1.000",
+            "20221208\t2023届高三11班\t1.000",
+            "20221208\t2023届高三12班\t1.000",
+            "20221208\t2023届高三01班\t1.000",
+            "20221208\t2023届高三02班\t0.967",
+            "20221208\t2023届高三03班\t0.962",
+            "20221208\t2023届高三04班\t0.889",
+            "20221208\t2023届高三05班\t0.974",
+            "20221208\t2023届高三06班\t1.000",
+            "20221208\t2023届高三07班\t0.880",
+            "20221208\t2023届高三08班\t0.926",
+            "20221208\t2023届高三09班\t0.960"
+        ],
         "origin": "新教材选择性必修第一册课堂练习",
         "edit": [
             "20220730\t王伟叶"
@@ -245032,10 +245531,23 @@
             "双曲线"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{x^2}{25}-\\dfrac{y^2}{3}=1$; (2) $\\dfrac{x^2}{16}-\\dfrac{y^2}9=1$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.973\t0.946",
+            "20221208\t2023届高三11班\t0.952\t0.809",
+            "20221208\t2023届高三12班\t0.900\t0.900",
+            "20221208\t2023届高三01班\t0.967\t0.967",
+            "20221208\t2023届高三02班\t0.933\t0.833",
+            "20221208\t2023届高三03班\t0.885\t0.808",
+            "20221208\t2023届高三04班\t0.926\t0.852",
+            "20221208\t2023届高三05班\t0.949\t0.974",
+            "20221208\t2023届高三06班\t1.000\t0.972",
+            "20221208\t2023届高三07班\t0.840\t0.760",
+            "20221208\t2023届高三08班\t0.963\t0.852",
+            "20221208\t2023届高三09班\t1.000\t0.880"
+        ],
         "origin": "新教材选择性必修第一册课堂练习",
         "edit": [
             "20220730\t王伟叶"
@@ -247550,7 +248062,20 @@
         "ans": "$15$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.853",
+            "20221208\t2023届高三11班\t0.700",
+            "20221208\t2023届高三12班\t0.739",
+            "20221208\t2023届高三01班\t0.966",
+            "20221208\t2023届高三02班\t0.933",
+            "20221208\t2023届高三03班\t0.923",
+            "20221208\t2023届高三04班\t0.852",
+            "20221208\t2023届高三05班\t0.789",
+            "20221208\t2023届高三06班\t0.974",
+            "20221208\t2023届高三07班\t0.808",
+            "20221208\t2023届高三08班\t0.800",
+            "20221208\t2023届高三09班\t0.767"
+        ],
         "origin": "新教材选择性必修第二册课堂练习",
         "edit": [
             "20220730\t王伟叶"
@@ -248648,10 +249173,23 @@
             "双曲线"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$6$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.946",
+            "20221208\t2023届高三11班\t1.000",
+            "20221208\t2023届高三12班\t1.000",
+            "20221208\t2023届高三01班\t0.933",
+            "20221208\t2023届高三02班\t0.933",
+            "20221208\t2023届高三03班\t0.962",
+            "20221208\t2023届高三04班\t1.000",
+            "20221208\t2023届高三05班\t0.974",
+            "20221208\t2023届高三06班\t1.000",
+            "20221208\t2023届高三07班\t0.920",
+            "20221208\t2023届高三08班\t0.963",
+            "20221208\t2023届高三09班\t0.960"
+        ],
         "origin": "上海2022年秋季高考试题2",
         "edit": [
             "20220730\t王伟叶"
@@ -264913,10 +265451,23 @@
             "椭圆"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{x^2}{5.9^2}+\\dfrac{y^2}{5.8^2}=1$(以$1\\times 10^8\\text{km}$为单位)",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.568",
+            "20221208\t2023届高三11班\t0.143",
+            "20221208\t2023届高三12班\t0.750",
+            "20221208\t2023届高三01班\t0.667",
+            "20221208\t2023届高三02班\t0.400",
+            "20221208\t2023届高三03班\t0.462",
+            "20221208\t2023届高三04班\t0.630",
+            "20221208\t2023届高三05班\t0.333",
+            "20221208\t2023届高三06班\t0.806",
+            "20221208\t2023届高三07班\t0.680",
+            "20221208\t2023届高三08班\t0.667",
+            "20221208\t2023届高三09班\t0.480"
+        ],
         "origin": "新教材选择性必修第一册习题",
         "edit": [
             "20220806\t王伟叶"
@@ -269505,7 +270056,7 @@
             "组合"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$24$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269662,7 +270213,20 @@
         "ans": "$2174$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.559",
+            "20221208\t2023届高三11班\t0.100",
+            "20221208\t2023届高三12班\t0.174",
+            "20221208\t2023届高三01班\t0.552",
+            "20221208\t2023届高三02班\t0.467",
+            "20221208\t2023届高三03班\t0.308",
+            "20221208\t2023届高三04班\t0.333",
+            "20221208\t2023届高三05班\t0.368",
+            "20221208\t2023届高三06班\t0.210",
+            "20221208\t2023届高三07班\t0.269",
+            "20221208\t2023届高三08班\t0.333",
+            "20221208\t2023届高三09班\t0.200"
+        ],
         "origin": "新教材选择性必修第二册习题",
         "edit": [
             "20220806\t王伟叶"
@@ -278849,7 +279413,20 @@
         "ans": "$48$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.706",
+            "20221208\t2023届高三11班\t0.500",
+            "20221208\t2023届高三12班\t0.609",
+            "20221208\t2023届高三01班\t0.931",
+            "20221208\t2023届高三02班\t0.500",
+            "20221208\t2023届高三03班\t0.692",
+            "20221208\t2023届高三04班\t0.741",
+            "20221208\t2023届高三05班\t0.737",
+            "20221208\t2023届高三06班\t0.632",
+            "20221208\t2023届高三07班\t0.692",
+            "20221208\t2023届高三08班\t0.600",
+            "20221208\t2023届高三09班\t0.700"
+        ],
         "origin": "2022届高三上学期国庆卷4试题9",
         "edit": [
             "20220817\t王伟叶"
@@ -288908,7 +289485,20 @@
         "ans": "$\\dfrac 1{15}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三10班\t0.912",
+            "20221208\t2023届高三11班\t0.900",
+            "20221208\t2023届高三12班\t0.957",
+            "20221208\t2023届高三01班\t0.966",
+            "20221208\t2023届高三02班\t1.000",
+            "20221208\t2023届高三03班\t0.923",
+            "20221208\t2023届高三04班\t1.000",
+            "20221208\t2023届高三05班\t0.947",
+            "20221208\t2023届高三06班\t0.921",
+            "20221208\t2023届高三07班\t0.923",
+            "20221208\t2023届高三08班\t0.933",
+            "20221208\t2023届高三09班\t0.900"
+        ],
         "origin": "上海2014年秋季高考试题10",
         "edit": [
             "20220819\t王伟叶"
@@ -299322,7 +299912,7 @@
     },
     "012123": {
         "id": "012123",
-        "content": "已知$(x+\\dfrac 2x)^n$的二项展开式中, 所有系数的和为$256$, 则展开式中的常数项为\\blank{50}(结果用数值表示).",
+        "content": "已知$(x+\\dfrac 2x)^n$的二项展开式中, 所有系数的和为$6561$, 则展开式中的常数项为\\blank{50}(结果用数值表示).",
         "objs": [],
         "tags": [],
         "genre": "填空题",
@@ -299332,7 +299922,8 @@
         "usages": [],
         "origin": "2021届杨浦区一模试题7",
         "edit": [
-            "20221206\t王伟叶"
+            "20221206\t王伟叶",
+            "20221208\t徐慧"
         ],
         "same": [],
         "related": [],
@@ -319482,7 +320073,20 @@
         "ans": "$15360$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20221208\t2023届高三02班\t0.323",
+            "20221208\t2023届高三10班\t0.629",
+            "20221208\t2023届高三11班\t0.591",
+            "20221208\t2023届高三12班\t0.750",
+            "20221208\t2023届高三01班\t0.480",
+            "20221208\t2023届高三03班\t0.577",
+            "20221208\t2023届高三04班\t0.308",
+            "20221208\t2023届高三05班\t0.821",
+            "20221208\t2023届高三06班\t0.538",
+            "20221208\t2023届高三07班\t0.179",
+            "20221208\t2023届高三08班\t0.286",
+            "20221208\t2023届高三09班\t0.536"
+        ],
         "origin": "2022届杨浦高三基础考试题18-20221130修改",
         "edit": [
             "20221027\t王伟叶",