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 f2e521be..e980626b 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": 1,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
@@ -11,7 +11,7 @@
      "text": [
       "首个空闲id: 12075 , 直至 020000\n",
       "首个空闲id: 20227 , 直至 030000\n",
-      "首个空闲id: 30481 , 直至 999999\n"
+      "首个空闲id: 30483 , 直至 999999\n"
      ]
     }
    ],
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 fd32d3c1..3d332420 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 = 30481\n",
-    "origin = \"自拟题目\"\n",
+    "starting_id = 12075\n",
+    "origin = \"2023届华东师范大学一附中高三上学期期中考试\"\n",
     "filename = r\"C:\\Users\\Weiye\\Documents\\wwy sync\\临时工作区\\自拟题目4.tex\"\n",
-    "editor = \"20221120\\t朱敏慧\""
+    "editor = \"20221121\\t王伟叶\""
    ]
   },
   {
diff --git a/工具/生成文件夹下的题号清单.ipynb b/工具/生成文件夹下的题号清单.ipynb
index e8f99641..3c697d15 100644
--- a/工具/生成文件夹下的题号清单.ipynb
+++ b/工具/生成文件夹下的题号清单.ipynb
@@ -2,145 +2,343 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "赋能01.tex\n",
-      "0.95}{赋能01答题纸.png\n",
-      "(000326)\n",
-      "(000327)\n",
-      "(000328)\n",
-      "(000329)\n",
-      "(030021)\n",
-      "(000331)\n",
-      "(000332)\n",
-      "(030022)\n",
-      "(030026)\n",
-      "(000335)\n",
+      "周末卷01.tex\n",
+      "填空题\n",
+      "(010923)\n",
+      "(010924)\n",
+      "(010925)\n",
+      "(010926)\n",
+      "(030013)\n",
+      "(010928)\n",
+      "(010929)\n",
+      "(010930)\n",
+      "(030014)\n",
+      "(010932)\n",
+      "(010933)\n",
+      "(010934)\n",
+      "选择题\n",
+      "(010935)\n",
+      "(010936)\n",
+      "(010937)\n",
+      "(010938)\n",
+      "解答题\n",
+      "(010939)\n",
+      "(010940)\n",
+      "(010941)\n",
+      "(010942)\n",
+      "(010943)\n",
       "\n",
       "\n",
       "\n",
-      "赋能02.tex\n",
-      "0.95}{赋能02答题纸.png\n",
-      "(001750)\n",
-      "(000337)\n",
-      "(002675)\n",
-      "(000339)\n",
-      "(000340)\n",
-      "(000341)\n",
-      "(000342)\n",
-      "(000343)\n",
-      "(000344)\n",
-      "(000345)\n",
+      "周末卷02.tex\n",
+      "填空题\n",
+      "(010944)\n",
+      "(030017)\n",
+      "(010946)\n",
+      "(010947)\n",
+      "(010948)\n",
+      "(010949)\n",
+      "(010950)\n",
+      "(010951)\n",
+      "(010952)\n",
+      "(010953)\n",
+      "(010954)\n",
+      "(010955)\n",
+      "选择题\n",
+      "(010956)\n",
+      "(002874)\n",
+      "(010958)\n",
+      "(010959)\n",
+      "解答题\n",
+      "(010960)\n",
+      "(010961)\n",
+      "(010962)\n",
+      "(010963)\n",
+      "(010964)\n",
       "\n",
       "\n",
       "\n",
-      "赋能03.tex\n",
-      "0.95}{赋能03答题纸.png\n",
-      "(000346)\n",
-      "(000347)\n",
-      "(000348)\n",
-      "(000349)\n",
-      "(030071)\n",
-      "(000351)\n",
-      "(000352)\n",
-      "(030072)\n",
-      "(000354)\n",
-      "(030073)\n",
+      "周末卷03.tex\n",
+      "填空题\n",
+      "(003115)\n",
+      "(006264)\n",
+      "(003096)\n",
+      "(001472)\n",
+      "(006604)\n",
+      "(030027)\n",
+      "(030028)\n",
+      "选择题\n",
+      "(006305)\n",
+      "解答题\n",
+      "(006460)\n",
+      "(006463)\n",
       "\n",
       "\n",
       "\n",
-      "赋能04.tex\n",
-      "0.95}{赋能04答题纸.png\n",
-      "(000356)\n",
-      "(000357)\n",
-      "(030074)\n",
-      "(000359)\n",
-      "(000360)\n",
-      "(000361)\n",
-      "(000362)\n",
-      "(000363)\n",
-      "(000364)\n",
-      "(030075)\n",
+      "周末卷03_暂未使用.tex\n",
+      "填空题\n",
+      "(010965)\n",
+      "(010966)\n",
+      "(030023)\n",
+      "(010968)\n",
+      "(010969)\n",
+      "(010970)\n",
+      "(030025)\n",
+      "(010972)\n",
+      "(030024)\n",
+      "(010974)\n",
+      "(010975)\n",
+      "(010976)\n",
+      "选择题\n",
+      "(010977)\n",
+      "(002745)\n",
+      "(010979)\n",
+      "(010980)\n",
+      "解答题\n",
+      "(010981)\n",
+      "(010982)\n",
+      "(010983)\n",
+      "(010984)\n",
+      "(010985)\n",
       "\n",
       "\n",
       "\n",
-      "赋能05.tex\n",
-      "0.95}{赋能05答题纸.png\n",
-      "(000366)\n",
-      "(000367)\n",
-      "(000368)\n",
-      "(000369)\n",
-      "(030281)\n",
-      "(000371)\n",
-      "(000372)\n",
-      "(000373)\n",
-      "(000374)\n",
-      "(000375)\n",
+      "周末卷04.tex\n",
+      "填空题\n",
+      "(001853)\n",
+      "(030108)\n",
+      "(003355)\n",
+      "(000655)\n",
+      "(000724)\n",
+      "(001860)\n",
+      "(002038)\n",
+      "(030106)\n",
+      "(030107)\n",
+      "(003621)\n",
+      "选择题\n",
+      "(001846)\n",
+      "(002013)\n",
+      "(003703)\n",
+      "解答题\n",
+      "(001557)\n",
+      "(004702)\n",
       "\n",
       "\n",
       "\n",
-      "赋能06.tex\n",
-      "0.95}{赋能06答题纸.png\n",
-      "(001772)\n",
-      "(000377)\n",
-      "(000378)\n",
-      "(008356)\n",
-      "(008334)\n",
-      "(008080)\n",
-      "(000382)\n",
-      "(000383)\n",
-      "(000384)\n",
-      "(000385)\n",
+      "周末卷05.tex\n",
+      "填空题\n",
+      "(030169)\n",
+      "(030273)\n",
+      "(001677)\n",
+      "(003531)\n",
+      "(003533)\n",
+      "(003455)\n",
+      "选择题\n",
+      "(004092)\n",
+      "(003891)\n",
+      "(001643)\n",
+      "解答题\n",
+      "(000182)\n",
+      "(000187)\n",
+      "(000298)\n",
+      "(003495)\n",
+      "(004180)\n",
+      "(003500)\n",
+      "(003462)\n",
       "\n",
       "\n",
       "\n",
-      "赋能07.tex\n",
-      "0.95}{赋能07答题纸.png\n",
-      "(000386)\n",
-      "(000387)\n",
-      "(000388)\n",
-      "(000389)\n",
-      "(000390)\n",
-      "(000391)\n",
-      "(000392)\n",
-      "(000393)\n",
-      "(000394)\n",
-      "(000395)\n",
+      "周末卷06.tex\n",
+      "填空题\n",
+      "(010497)\n",
+      "(010501)\n",
+      "(001726)\n",
+      "(030279)\n",
+      "(030280)\n",
+      "(030278)\n",
+      "(001631)\n",
+      "(001668)\n",
+      "(001724)\n",
+      "选择题\n",
+      "(001676)\n",
+      "(010487)\n",
+      "(009998)\n",
+      "(010491)\n",
+      "解答题\n",
+      "(010470)\n",
+      "(010533)\n",
+      "(010508)\n",
+      "(010000)\n",
       "\n",
       "\n",
       "\n",
-      "赋能08.tex\n",
-      "0.95}{赋能08答题纸.png\n",
-      "(000396)\n",
-      "(000397)\n",
-      "(000398)\n",
-      "(000399)\n",
-      "(011012)\n",
-      "(000401)\n",
-      "(000402)\n",
-      "(000403)\n",
-      "(000404)\n",
-      "(000405)\n",
+      "周末卷07.tex\n",
+      "填空题\n",
+      "(004446)\n",
+      "(004447)\n",
+      "(004448)\n",
+      "(004449)\n",
+      "(004450)\n",
+      "(004451)\n",
+      "(004453)\n",
+      "(004454)\n",
+      "(004455)\n",
+      "(004456)\n",
+      "(004457)\n",
+      "选择题\n",
+      "(004458)\n",
+      "解答题\n",
+      "(004462)\n",
+      "(004463)\n",
+      "(004464)\n",
       "\n",
       "\n",
       "\n",
-      "赋能09.tex\n",
-      "0.95}{赋能09答题纸.png\n",
-      "(000406)\n",
-      "(000407)\n",
-      "(000408)\n",
-      "(011585)\n",
-      "(000410)\n",
-      "(000411)\n",
-      "(000412)\n",
-      "(000413)\n",
-      "(000414)\n",
-      "(000415)\n",
+      "周末卷08.tex\n",
+      "填空题\n",
+      "(011133)\n",
+      "(011134)\n",
+      "(011135)\n",
+      "(011136)\n",
+      "(011137)\n",
+      "(011138)\n",
+      "(011139)\n",
+      "(011140)\n",
+      "(011141)\n",
+      "(011142)\n",
+      "(011143)\n",
+      "(011144)\n",
+      "选择题\n",
+      "(011145)\n",
+      "(011146)\n",
+      "(011147)\n",
+      "(011148)\n",
+      "解答题\n",
+      "(011149)\n",
+      "(011150)\n",
+      "(011151)\n",
+      "(011152)\n",
+      "(011153)\n",
+      "\n",
+      "\n",
+      "\n",
+      "周末卷09.tex\n",
+      "填空题\n",
+      "(011049)\n",
+      "(011051)\n",
+      "(011052)\n",
+      "(011053)\n",
+      "(011054)\n",
+      "(011056)\n",
+      "(011057)\n",
+      "(011059)\n",
+      "(011060)\n",
+      "选择题\n",
+      "(011062)\n",
+      "(011063)\n",
+      "(011064)\n",
+      "解答题\n",
+      "(011065)\n",
+      "(011066)\n",
+      "(011067)\n",
+      "\n",
+      "\n",
+      "\n",
+      "周末卷10.tex\n",
+      "填空题\n",
+      "(011070)\n",
+      "(011072)\n",
+      "(011073)\n",
+      "(011074)\n",
+      "(011075)\n",
+      "(011076)\n",
+      "(011078)\n",
+      "(011079)\n",
+      "(011081)\n",
+      "选择题\n",
+      "(011082)\n",
+      "(011083)\n",
+      "(011084)\n",
+      "解答题\n",
+      "(011086)\n",
+      "(011087)\n",
+      "(011088)\n",
+      "(011090)\n",
+      "\n",
+      "\n",
+      "\n",
+      "周末卷11备选.tex\n",
+      "enumerate\n",
+      "(011091)\n",
+      "(011092)\n",
+      "(011094)\n",
+      "(011095)\n",
+      "(011096)\n",
+      "(011097)\n",
+      "(011098)\n",
+      "(011099)\n",
+      "(011100)\n",
+      "(011102)\n",
+      "(011103)\n",
+      "(011104)\n",
+      "(011105)\n",
+      "(011106)\n",
+      "(011107)\n",
+      "(011108)\n",
+      "(011109)\n",
+      "(011110)\n",
+      "\n",
+      "\n",
+      "\n",
+      "国庆卷.tex\n",
+      "课前练习\n",
+      "(030033)\n",
+      "(030030)\n",
+      "(030032)\n",
+      "(030031)\n",
+      "(030029)\n",
+      "(030034)\n",
+      "(030076)\n",
+      "(030036)\n",
+      "(030037)\n",
+      "(030039)\n",
+      "(030044)\n",
+      "(030038)\n",
+      "(030040)\n",
+      "(030041)\n",
+      "(030045)\n",
+      "(030042)\n",
+      "(030048)\n",
+      "(030046)\n",
+      "(030047)\n",
+      "(030051)\n",
+      "(030043)\n",
+      "(030052)\n",
+      "(030050)\n",
+      "(030049)\n",
+      "(030053)\n",
+      "(030054)\n",
+      "(030055)\n",
+      "(030059)\n",
+      "(030058)\n",
+      "(030056)\n",
+      "(030057)\n",
+      "(030060)\n",
+      "(030061)\n",
+      "(030063)\n",
+      "(030062)\n",
+      "(030065)\n",
+      "(030067)\n",
+      "(030066)\n",
+      "(030064)\n",
+      "(030068)\n",
       "\n",
       "\n",
       "\n"
@@ -150,7 +348,7 @@
    "source": [
     "import os,re\n",
     "\"---此处输入文件夹名---\"\n",
-    "directory = r\"C:\\Users\\wang weiye\\Documents\\wwy sync\\23届\\赋能\"\n",
+    "directory = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\上学期周末卷\"\n",
     "\"---文件夹名输入结束---\"\n",
     "\n",
     "filelist = [filename for filename in os.listdir(directory) if \".tex\" in filename]\n",
@@ -199,7 +397,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.9.7 ('base')",
+   "display_name": "Python 3.8.8 ('base')",
    "language": "python",
    "name": "python3"
   },
@@ -213,12 +411,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.7"
+   "version": "3.8.8"
   },
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba"
+    "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
    }
   }
  },
diff --git a/工具/讲义生成.ipynb b/工具/讲义生成.ipynb
index 3413c910..c36c131c 100644
--- a/工具/讲义生成.ipynb
+++ b/工具/讲义生成.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
@@ -15,9 +15,9 @@
       "题块 2 处理完毕.\n",
       "正在处理题块 3 .\n",
       "题块 3 处理完毕.\n",
-      "开始编译教师版本pdf文件:  临时文件/测验08_教师_20221121.tex\n",
+      "开始编译教师版本pdf文件:  临时文件/测验09_教师_20221121.tex\n",
       "0\n",
-      "开始编译学生版本pdf文件:  临时文件/测验08_学生_20221121.tex\n",
+      "开始编译学生版本pdf文件:  临时文件/测验09_学生_20221121.tex\n",
       "0\n"
      ]
     }
@@ -41,7 +41,7 @@
     "# enumi_mode = 0\n",
     "\n",
     "#2023届测验卷与周末卷\n",
-    "exec_list = [(\"标题替换\",\"测验08\")]\n",
+    "exec_list = [(\"标题替换\",\"测验09\")]\n",
     "enumi_mode = 1\n",
     "\n",
     "# 日常选题讲义\n",
@@ -51,15 +51,15 @@
     "\"\"\"---其他预处理替换命令结束---\"\"\"\n",
     "\n",
     "\"\"\"---设置目标文件名---\"\"\"\n",
-    "destination_file = \"临时文件/测验08\"\n",
+    "destination_file = \"临时文件/测验09\"\n",
     "\"\"\"---设置目标文件名结束---\"\"\"\n",
     "\n",
     "\n",
     "\"\"\"---设置题号数据---\"\"\"\n",
     "problems = [\n",
-    "\"12054:12065\",\n",
-    "\"12066:12069\",\n",
-    "\"12070:12074\"\n",
+    "\"12075:12086\",\n",
+    "\"12087:12090\",\n",
+    "\"12091:12095\"\n",
     "\n",
     "]\n",
     "\"\"\"---设置题号数据结束---\"\"\"\n",
@@ -211,7 +211,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.9.7 ('base')",
+   "display_name": "Python 3.8.8 ('base')",
    "language": "python",
    "name": "python3"
   },
@@ -225,12 +225,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.7"
+   "version": "3.8.8"
   },
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba"
+    "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
    }
   }
  },
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 6161170a..0721b1ac 100644
--- a/工具/题号选题pdf生成.ipynb
+++ b/工具/题号选题pdf生成.ipynb
@@ -2,16 +2,16 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "开始编译教师版本pdf文件:  临时文件/赋能06_教师用_20221121.tex\n",
+      "开始编译教师版本pdf文件:  临时文件/周末卷10_教师用_20221121.tex\n",
       "0\n",
-      "开始编译学生版本pdf文件:  临时文件/赋能06_学生用_20221121.tex\n",
+      "开始编译学生版本pdf文件:  临时文件/周末卷10_学生用_20221121.tex\n",
       "0\n"
      ]
     }
@@ -26,8 +26,7 @@
     "\"\"\"---设置题目列表---\"\"\"\n",
     "#留空为编译全题库, a为读取临时文件中的题号筛选.txt文件生成题库\n",
     "problems = r\"\"\"\n",
-    "001772,000377,000378,008356,008334,008080,000382,000383,000384,000385\n",
-    "\n",
+    "11091:11111\n",
     "\n",
     "\n",
     "\"\"\"\n",
@@ -35,7 +34,7 @@
     "\n",
     "\"\"\"---设置文件名---\"\"\"\n",
     "#目录和文件的分隔务必用/\n",
-    "filename = \"临时文件/赋能06\"\n",
+    "filename = \"临时文件/周末卷10\"\n",
     "\"\"\"---设置文件名结束---\"\"\"\n",
     "\n",
     "\n",
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 5595bb7a..2919f562 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -270594,7 +270594,7 @@
     },
     "011072": {
         "id": "011072",
-        "content": "设$a\\in \\mathbf{R}$, $a^2-a-2+(a+1)\\mathrm{i}$为纯虚数($i$为虚数单位), 则$a=$\\blank{50}.",
+        "content": "设$a\\in \\mathbf{R}$, $a^2-a-2+(a+1)\\mathrm{i}$为纯虚数($\\mathrm{i}$为虚数单位), 则$a=$\\blank{50}.",
         "objs": [],
         "tags": [
             "第五单元"
@@ -270682,7 +270682,7 @@
     },
     "011076": {
         "id": "011076",
-        "content": "已知数列$\\{a_n\\}$的通项公式为$a_n=\\begin{cases}  n, & n\\le 2,  \\\\ (\\dfrac 12)^{n-1}, &  n\\ge 3  \\end{cases}$($n\\in \\mathbf{N}^*$). $S_n$是数列$\\{a_n\\}$的前$n$项和. 则$\\displaystyle\\lim_{n\\to \\infty}S_n=$\\blank{50}.",
+        "content": "已知数列$\\{a_n\\}$的通项公式为$a_n=\\begin{cases}  n, & n\\le 2,  \\\\ (\\dfrac 12)^{n-1}, &  n\\ge 3  \\end{cases}$($n\\in \\mathbf{N}$, $n\\ge 1$). $S_n$是数列$\\{a_n\\}$的前$n$项和. 则$\\displaystyle\\lim_{n\\to \\infty}S_n=$\\blank{50}.",
         "objs": [],
         "tags": [
             "第四单元"
@@ -270977,7 +270977,7 @@
     },
     "011090": {
         "id": "011090",
-        "content": "已知无穷数列$\\{a_n\\}$的前$n$项和为$S_n$, 若对于任意的正整数$n$, 均有$S_{2n-1}\\ge 0$, $S_{2n}\\le 0$, 则称数列$\\{a_n\\}$具有性质$P$.\\\\\n(1) 判断首项为$1$, 公比为$-2$的无穷等比数列$\\{a_n\\}$是否具有性质$P$, 并说明理由;\\\\\n(2) 已知无穷数列$\\{a_n\\}$具有性质$P$, 且任意相邻四项之和都相等, 求证: $S_4=0$;\\\\\n(3) 已知$b_n=2n-1$($n\\in \\mathbf{N}^*$), 数列$\\{c_n\\}$是等差数列, $a_n=\\begin{cases}   b_{\\frac{n+1}2}, & n\\text{为奇数},  \\\\c_{\\frac n2}, &  n\\text{为偶数}.  \\end{cases}$ 若无穷数列$\\{a_n\\}$具有性质$P$, 求$c_{2021}$的取值范围.",
+        "content": "已知无穷数列$\\{a_n\\}$的前$n$项和为$S_n$, 若对于任意的正整数$n$, 均有$S_{2n-1}\\ge 0$, $S_{2n}\\le 0$, 则称数列$\\{a_n\\}$具有性质$P$.\\\\\n(1) 判断首项为$1$, 公比为$-2$的无穷等比数列$\\{a_n\\}$是否具有性质$P$, 并说明理由;\\\\\n(2) 已知无穷数列$\\{a_n\\}$具有性质$P$, 且任意相邻四项之和都相等, 求证: $S_4=0$;\\\\\n(3) 已知$b_n=2n-1$($n\\in \\mathbf{N}$, $n\\ge 1$), 数列$\\{c_n\\}$是等差数列, $a_n=\\begin{cases}   b_{\\frac{n+1}2}, & n\\text{为奇数},  \\\\c_{\\frac n2}, &  n\\text{为偶数}.  \\end{cases}$ 若无穷数列$\\{a_n\\}$具有性质$P$, 求$c_{2021}$的取值范围.",
         "objs": [],
         "tags": [
             "第四单元"
@@ -292899,6 +292899,405 @@
         "remark": "",
         "space": "12ex"
     },
+    "012075": {
+        "id": "012075",
+        "content": "设集合$A=\\{x|(x-1)(x-4)<0\\}$, 集合$B=\\mathbf{Z}$, 则$A\\cap B=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题1",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012076": {
+        "id": "012076",
+        "content": "已知$\\mathrm{i}$为虚数单位, 则复数$z=\\dfrac{3+\\mathrm{i}}{2+\\mathrm{i}}$的模$|z|=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题2",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012077": {
+        "id": "012077",
+        "content": "方程$\\log_2(3x+4)=3$的解为$x=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题3",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012078": {
+        "id": "012078",
+        "content": "在二项式$(x+\\dfrac2x)^6$的展开式中, 常数项是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题4",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012079": {
+        "id": "012079",
+        "content": "若圆锥侧面积为$20\\pi$, 且母线与底面所成角为$\\arccos \\dfrac 4\n5$, 则该圆锥的侧面积为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题5",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012080": {
+        "id": "012080",
+        "content": "设点$H(2,3)$, 若直线$l$经过点$H$, 且与直线$OH$垂直($O$为坐标原点), 则直线$l$的方程为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题6",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012081": {
+        "id": "012081",
+        "content": "函数$y=2\\cos\\left(x+\\dfrac{\\pi}{4}\\right)\\cos\\left(x-\\dfrac{\\pi}{4}\\right)+\\sqrt{3}\\sin 2x$的值域为\\blank{80}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题7",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012082": {
+        "id": "012082",
+        "content": "函数$y=\\dfrac{x}{x+1}$的图像是一个中心对称图形, 其对称中心的坐标为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题8",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012083": {
+        "id": "012083",
+        "content": "已知随机变量$X$的分布列为$\\begin{pmatrix}\n        -1 & 0 & 1 \\\\\n        \\dfrac 12 & \\dfrac 13 & \\dfrac 16      \n    \\end{pmatrix}$, 另一个随机变量$Y$满足$X+2Y=4$, 则$Y$的方差$D[Y]=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题9",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012084": {
+        "id": "012084",
+        "content": "在由数字$1, 2, 3, 4, 5$组成的数字不重复的五位数中, 小于$50000$的奇数有\\blank{50}个.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题10",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012085": {
+        "id": "012085",
+        "content": "平面上的三个单位向量$\\overrightarrow{a}$, $\\overrightarrow{b}$, $\\overrightarrow{c}$满足$2\\overrightarrow{c}=3\\overrightarrow{a}+4\\overrightarrow{b}$, 则$\\overrightarrow{a}$, $\\overrightarrow{b}$, $\\overrightarrow{c}$两两间的夹角中, 最小的角的大小为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题11",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012086": {
+        "id": "012086",
+        "content": "设区间$(m,n)$($m<n$)的长度为$n-m$. 若$a,b\\in (0,+\\infty)$, 且不等式$(x^2-a)(x^2-b)$的解集是若干个长度之和为$4$的区间的并集, 则$\\dfrac{a+5}{b}$的最小值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题12",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012087": {
+        "id": "012087",
+        "content": "已知$a,b$是实数, 则``$a>b$''是``$a^3+1>b^3+1$的\\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件}{充要条件}{既非充分又非必要条件}",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题13",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012088": {
+        "id": "012088",
+        "content": "演讲比赛共有$9$位评委分别给出某选手的原始评分, 评定该选手的成绩时, 从$9$个原始评分中去掉$1$个最高分、$1$个最低分, 得到$7$个有效评分. $7$个有效评分与$9$个原始评分相比, 不变的数字特征是\\bracket{20}.\n\\fourch{中位数}{平均数}{方差}{极差}",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题14",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012089": {
+        "id": "012089",
+        "content": "已知$\\omega$是常数, 若函数$y=|\\sin (\\omega x+\\dfrac \\pi 3)|$图像的一条对称轴是直线$x=\\dfrac\\pi 6$. 则$\\omega$的值不可能在区间\\bracket{20}中.\n\\fourch{$(0,2)$}{$(2,4)$}{$(4,6)$}{$(6,8)$}",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题15",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012090": {
+        "id": "012090",
+        "content": "对于两个定义在$\\mathbf{R}$上的函数$y=f(x)$与$y=g(x)$, 构造新的函数$y=h(x)$如下: 对任意$x_0\\in \\mathbf{R}$, $h(x_0)=f(x_0)+g(x_0)$. 现已知$y=h(x)$是严格增函数, 对于以下两个命题: \n\\textcircled{1} $y=f(x)$与$y=g(x)$中至少有一个是严格增函数;\n\\textcircled{2} $y=f(x)$与$y=g(x)$中至少有一个无最大值.\n其中\\bracket{20}.\n\\fourch{\\textcircled{1}和\\textcircled{2}都是真命题}{只有\\textcircled{1}是真命题}{只有\\textcircled{2}是真命题}{没有真命题}",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题16",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012091": {
+        "id": "012091",
+        "content": "如图, 设$P-ABCD$是底面为矩形的四棱锥, $PA\\perp$平面$ABCD$. $PA=AB=2$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0,0) node [left] {$A$} coordinate (A);\n\\draw (0,0,2) node [left] {$B$} coordinate (B);\n\\draw (3,0,2) node [right] {$C$} coordinate (C);\n\\draw (3,0,0) node [right] {$D$} coordinate (D);\n\\draw (0,2,0) node [left] {$P$} coordinate (P);\n\\draw (P) -- (B) -- (C) -- (D) -- (P) (P) -- (C);\n\\draw [dashed] (A) -- (P) (A) -- (B) (A) -- (D);\n\\end{tikzpicture}\n\\end{center}\n(1) 若$PC\\perp BD$, 求四棱锥$P-ABCD$的体积;\\\\\n(2) 若直线$PD$与平面$PAB$所成的角的大小为$\\arctan 2$, 求直线$PC$与平面$ABCD$所成的角的大小.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题17",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012092": {
+        "id": "012092",
+        "content": "设$a$是实常数, 并记$f(x)=x^3+ax^2+2x$.\\\\\n(1) 当$a=-\\dfrac{5}{2}$时, 求函数$y=(x)$的单调减区间;\\\\ \n(2) 是否存在$a$, 使得函数$y=f(x)$有且三个零点, 且三个零点可按某种顺序排列后成等差数列? 若存在, 求所有满足条件的$a$的值; 若不存在, 说明理由.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题18",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012093": {
+        "id": "012093",
+        "content": "如图, 某市郊外景区内一条笔直的公路$a$经过三个景点$A$、$B$、$C$. 景区管委会又开发了风景优美的景点$D$.经测量景点$D$位于景点$A$的北偏东$30^\\circ$方向$8$千米处, 且位于景点$B$的正北方向, 还位于景点$C$的北偏西$75^\\circ$方向上.已知$AB=5$千米.\n\\begin{center}\n    \\begin{tikzpicture}[>=latex,scale = 0.25]\n        \\draw [->] (6,8) -- (10,8) node [right] {东};\n        \\draw [->] (6,8) -- (6,12) node [above] {北};\n        \\draw [->] (0,0) node [below] {$A$} coordinate (A) -- (0,8) node [left] {$N$} coordinate (N);\n        \\draw (A) --++ (60:8) node [above] {$D$} coordinate (D);\n        \\draw (4,3) node [below] {$B$} coordinate (B) -- (D);\n        \\draw [name path = linea] (A) -- ($(A)!2.2!(B)$) node [right] {$a$} coordinate (a);\n        \\path [name path = DC] (D) --++ (-15:4);\n        \\path [name intersections = {of = linea and DC, by = C}];\n        \\draw (D) -- (C) node [below] {$C$};\n        \\draw (60:2) arc (60:90:2);\n        \\draw (75:4) node {$30^\\circ$};\n    \\end{tikzpicture}\n\\end{center}\n(1) 景区管委会准备由景点$D$向景点$B$修一条笔直的公路, 不考虑其他因素, 求出这条公路的长(结果精确到$0.1$千米);\\\\\n(2) 求景点$C$与景点$D$之间的距离(结果精确到$0.1$千米).",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题19",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012094": {
+        "id": "012094",
+        "content": "已知数列$\\{a_n\\}$的通项公式为$a_n=2^n+\\lambda n$, 其中常数$\\lambda\\in \\mathbf{R}$.\\\\\n(1) 若$a_3=4a_2$, 求$\\lambda$的值;\\\\\n(2) 若$\\{a_n\\}$前$10$项的和为$1551$, 试分析$\\{a_n\\}$的单调性;\\\\\n(3) 若不小于$2$的正整数$p,q$满足$p<q$, 且$a_p=a_q$, 试比较$a_{p-1}$与$a_{q+1}$的大小, 并说明理由.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题20",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012095": {
+        "id": "012095",
+        "content": "已知椭圆$E$的方程为$\\dfrac{x^2}{12}+\\dfrac{y^2}{4}=1$, $F_1(-2\\sqrt{2},0)$与$F_2(2\\sqrt{2},0)$是$E$的两个焦点, $A(0,-2)$是$E$的下顶点.\\\\\n(1) 设斜率为$1$的直线$l$过点$F_1$, 且与$E$交于$M,N$两点, 求弦$MN$的长;\\\\\n(2) 若$E$上一点$P$满足$|F_1P|=3|F_2P|$, 求$\\triangle F_1F_2P$的面积;\\\\\n(3) 是否存在椭圆$E$上, 且位于第一象限的点$Q$, 使得射线$QA$平分$\\angle F_1QF_2$? 若存在, 请写出一个满足条件的点$Q$的坐标并加以验证; 若不存在, 说明理由.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届华东师范大学一附中高三上学期期中考试试题21",
+        "edit": [
+            "20221121\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
     "020001": {
         "id": "020001",
         "content": "判断下列各组对象能否组成集合, 若能组成集合, 指出是有限集还是无限集.\\\\\n(1) 上海市控江中学$2022$年入学的全体高一年级新生;\\\\\n(2) 中国现有各省的名称;\\\\\n(3) 太阳、$2$、上海市;\\\\\n(4) 大于$10$且小于$15$的有理数;\\\\\n(5) 末位是$3$的自然数;\\\\\n(6) 影响力比较大的中国数学家;\\\\\n(7) 方程$x^2+x-3=0$的所有实数解;\\\\ \n(8) 函数$y=\\dfrac 1x$图像上所有的点;\\\\ \n(9) 在平面直角坐标系中, 到定点$(0, 0)$的距离等于$1$的所有点;\\\\\n(10) 不等式$3x-10<0$的所有正整数解;\\\\\n(11) 所有的平面四边形.",
@@ -311695,7 +312094,7 @@
     },
     "030481": {
         "id": "030481",
-        "content": "已知和实数$x,y$满足$y=\\sqrt{3-(x-2)^2}$, 则$\\dfrac{y}{x}$的取值范围为\\blank{50}.",
+        "content": "已知实数$x,y$满足$y=\\sqrt{3-(x-2)^2}$, 则$\\dfrac{y}{x}$的取值范围为\\blank{50}.",
         "objs": [],
         "tags": [
             "第七单元",