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 71dd8a91..d14c5f84 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": 11,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [
     {
@@ -11,7 +11,7 @@
        "0"
       ]
      },
-     "execution_count": 11,
+     "execution_count": 13,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -19,7 +19,7 @@
    "source": [
     "import os,re,json\n",
     "\"\"\"这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭, 随后运行第二个代码块\"\"\"\n",
-    "problems = \"12263\"\n",
+    "problems = \"12527\"\n",
     "\n",
     "def generate_number_set(string,dict):\n",
     "    string = re.sub(r\"[\\n\\s]\",\"\",string)\n",
@@ -51,7 +51,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [],
    "source": [
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 ae07aab2..ece65ff1 100644
--- a/工具/关键字筛选题号.ipynb
+++ b/工具/关键字筛选题号.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
@@ -11,7 +11,7 @@
        "0"
       ]
      },
-     "execution_count": 2,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -21,7 +21,7 @@
     "\n",
     "\"\"\"---设置关键字, 同一field下不同选项为or关系, 同一字典中不同字段间为and关系, 不同字典间为or关系, _not表示列表中的关键字都不含, 同一字典中的数字用来供应同一字段不同的条件之间的and---\"\"\"\n",
     "keywords_dict_table = [\n",
-    "    {\"origin\":[\"2023\"],\"origin2\":[\"松江\"]}\n",
+    "    {\"origin\":[\"2023\"],\"origin2\":[\"虹口\"]}\n",
     "]\n",
     "\"\"\"---关键字设置完毕---\"\"\"\n",
     "# 示例： keywords_dict_table = [\n",
@@ -89,7 +89,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.9.15 ('pythontest')",
+   "display_name": "mathdept",
    "language": "python",
    "name": "python3"
   },
@@ -108,7 +108,7 @@
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "91219a98e0e9be72efb992f647fe78b593124968b75db0b865552d6787c8db93"
+    "hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc"
    }
   }
  },
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 b9ae1c76..28cc3821 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
@@ -9,7 +9,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "首个空闲id: 12655 , 直至 020000\n",
+      "首个空闲id: 12676 , 直至 020000\n",
       "首个空闲id: 20227 , 直至 030000\n",
       "首个空闲id: 30503 , 直至 999999\n"
      ]
diff --git a/工具/文本文件/题号筛选.txt b/工具/文本文件/题号筛选.txt
index d433f2bb..a1102190 100644
--- a/工具/文本文件/题号筛选.txt
+++ b/工具/文本文件/题号筛选.txt
@@ -1 +1 @@
-012287,012288,012289,012290,012291,012292,012293,012294,012295,012296,012297,012298,012299,012300,012301,012302,012303,012304,012305,012306,012307
\ No newline at end of file
+012508,012509,012510,012511,012512,012513,012514,012515,012516,012517,012518,012519,012520,012521,012522,012523,012524,012525,012526,012527,012528
\ No newline at end of file
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 b44c9773..c762e7dd 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 = 12655\n",
-    "origin = \"2023届宝山区一模\"\n",
-    "filename = r\"C:\\Users\\weiye\\Documents\\wwy sync\\临时工作区\\自拟题目3.tex\"\n",
-    "editor = \"20221217\\t王伟叶\""
+    "starting_id = 12676\n",
+    "origin = \"2023届浦东新区一模\"\n",
+    "filename = r\"C:\\Users\\weiye\\Documents\\wwy sync\\临时工作区\\temp.tex\"\n",
+    "editor = \"20221220\\t王伟叶\""
    ]
   },
   {
diff --git a/工具/讲义生成.ipynb b/工具/讲义生成.ipynb
index 7e11827c..be461e94 100644
--- a/工具/讲义生成.ipynb
+++ b/工具/讲义生成.ipynb
@@ -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/2023届青浦区一模_教师_20221219.tex\n",
+      "开始编译教师版本pdf文件:  临时文件/2023届虹口区一模_教师_20221220.tex\n",
       "0\n",
-      "开始编译学生版本pdf文件:  临时文件/2023届青浦区一模_学生_20221219.tex\n",
+      "开始编译学生版本pdf文件:  临时文件/2023届虹口区一模_学生_20221220.tex\n",
       "0\n"
      ]
     }
@@ -51,13 +51,13 @@
     "\"\"\"---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/2023届青浦区一模\"\n",
+    "destination_file = \"临时文件/2023届虹口区一模\"\n",
     "\"\"\"---设置目标文件名结束---\"\"\"\n",
     "\n",
     "\n",
     "\"\"\"---设置题号数据---\"\"\"\n",
     "problems = [\n",
-    "\"012529,012530,012531,012532,012533,012534,012535,012536,012537,012538,012539,012540\",\"012541,012542,012543,012544\",\"012545,012546,012547,012548,012549\"\n",
+    "\"012508,012509,012510,012511,012512,012513,012514,012515,012516,012517,012518,012519\",\"012520,012521,012522,012523\",\"012524,012525,012526,012527,012528\"\n",
     "\n",
     "\n",
     "]\n",
@@ -210,7 +210,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.9.15 ('pythontest')",
+   "display_name": "mathdept",
    "language": "python",
    "name": "python3"
   },
@@ -229,7 +229,7 @@
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "91219a98e0e9be72efb992f647fe78b593124968b75db0b865552d6787c8db93"
+    "hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc"
    }
   }
  },
diff --git a/工具/识别题库中尚未标注的题目类型.ipynb b/工具/识别题库中尚未标注的题目类型.ipynb
index c5966489..425c85cf 100644
--- a/工具/识别题库中尚未标注的题目类型.ipynb
+++ b/工具/识别题库中尚未标注的题目类型.ipynb
@@ -2,34 +2,34 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "012655 填空题\n",
-      "012656 填空题\n",
-      "012657 填空题\n",
-      "012658 填空题\n",
-      "012659 填空题\n",
-      "012660 填空题\n",
-      "012661 填空题\n",
-      "012662 填空题\n",
-      "012663 填空题\n",
-      "012664 填空题\n",
-      "012665 填空题\n",
-      "012666 填空题\n",
-      "012667 选择题\n",
-      "012668 选择题\n",
-      "012669 选择题\n",
-      "012670 选择题\n",
-      "012671 解答题\n",
-      "012672 解答题\n",
-      "012673 解答题\n",
-      "012674 解答题\n",
-      "012675 解答题\n"
+      "012676 填空题\n",
+      "012677 填空题\n",
+      "012678 填空题\n",
+      "012679 填空题\n",
+      "012680 填空题\n",
+      "012681 填空题\n",
+      "012682 填空题\n",
+      "012683 填空题\n",
+      "012684 填空题\n",
+      "012685 填空题\n",
+      "012686 填空题\n",
+      "012687 填空题\n",
+      "012688 选择题\n",
+      "012689 选择题\n",
+      "012690 选择题\n",
+      "012691 选择题\n",
+      "012692 解答题\n",
+      "012693 解答题\n",
+      "012694 解答题\n",
+      "012695 解答题\n",
+      "012696 解答题\n"
      ]
     }
    ],
@@ -71,7 +71,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.9.15 ('pythontest')",
+   "display_name": "mathdept",
    "language": "python",
    "name": "python3"
   },
@@ -90,7 +90,7 @@
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "91219a98e0e9be72efb992f647fe78b593124968b75db0b865552d6787c8db93"
+    "hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc"
    }
   }
  },
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 208ab3ad..c7e4bedb 100644
--- a/工具/题号选题pdf生成.ipynb
+++ b/工具/题号选题pdf生成.ipynb
@@ -2,16 +2,16 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "开始编译教师版本pdf文件:  临时文件/松江_教师用_20221220.tex\n",
+      "开始编译教师版本pdf文件:  临时文件/虹口一模待校对_教师用_20221220.tex\n",
       "0\n",
-      "开始编译学生版本pdf文件:  临时文件/松江_学生用_20221220.tex\n",
+      "开始编译学生版本pdf文件:  临时文件/虹口一模待校对_学生用_20221220.tex\n",
       "0\n"
      ]
     }
@@ -33,7 +33,7 @@
     "\n",
     "\"\"\"---设置文件名---\"\"\"\n",
     "#目录和文件的分隔务必用/\n",
-    "filename = \"临时文件/松江\"\n",
+    "filename = \"临时文件/虹口一模待校对\"\n",
     "\"\"\"---设置文件名结束---\"\"\"\n",
     "\n",
     "\n",
@@ -174,7 +174,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.8.15 ('mathdept')",
+   "display_name": "mathdept",
    "language": "python",
    "name": "python3"
   },
@@ -188,12 +188,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.15"
+   "version": "3.9.15"
   },
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "42dd566da87765ddbe9b5c5b483063747fec4aacc5469ad554706e4b742e67b2"
+    "hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc"
    }
   }
  },
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 28b2379d..b8f105a9 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -309280,7 +309280,7 @@
     },
     "012527": {
         "id": "012527",
-        "content": "本市某区对全区高中生的身高(单位: 厘米)进行统计, 得到如下的频率分布直方图.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, xscale = 0.6, yscale = 100]\n\\draw [->] (-0,0) -- (0.1,0) -- (0.2,0.0008) -- (0.4,-0.0008) -- (0.5,0) -- (10,0) node [below] {身高/厘米};\n\\draw [->] (0,-0) -- (0,0.035) node [left] {$\\dfrac{\\text{频率}}{\\text{组距}}$};\n\\draw (0,0) node [below left] {$O$};\n\\foreach \\i/\\j in {150/0.022,160/0.027,170/0.025,180/0.015,190/0.01,200/0.001} \n{\\draw ({(\\i-130)/10},0) node [below] {\\small $\\i$} --++ (0,\\j) --++ (1,0) --++ (0,{-\\j});\n\\draw [dashed] (0,\\j) node [left] {\\small $\\j$} -- ({(\\i-130)/10},\\j);};\n\\draw (8,0) node [below] {\\small $210$};\n\\end{tikzpicture}\n\\end{center}\n(1) 若数据分布均匀, 记随机变量$X$为各区间中点所代表的身高, 写出$X$的分布及期望;\\\\\n(2) 已知本市身高在区间$[180,210]$的市民人数约占全市总人数的$10 \\%$, 且全市高中生约占全市总人数的$1.2 \\%$. 现在要以该区本次统计数据估算全市高中生身高情况, 从本市市民中任取$1$人, 若此人的身高位于区间$[180,210]$, 试估计此人是高中生的概率;\\\\\n(3) 现从身高在区间$[170,190)$的高中生中分层抽样抽取一个$80$人的样本. 若身高在区间$[170,180)$中样本的均值为$176$厘米, 方差为$10$; 身高在区间$[180,190)$中样本的均值为$184$厘米, 方差为$16$, 试求这$80$人的方差.",
+        "content": "本市某区对全区高中生的身高(单位: 厘米)进行统计, 得到如下的频率分布直方图.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, xscale = 0.6, yscale = 100]\n\\draw [->] (-0,0) -- (0.1,0) -- (0.2,0.0008) -- (0.4,-0.0008) -- (0.5,0) -- (10,0) node [below] {身高/厘米};\n\\draw [->] (0,-0) -- (0,0.035) node [left] {$\\dfrac{\\text{频率}}{\\text{组距}}$};\n\\draw (0,0) node [below left] {$O$};\n\\foreach \\i/\\j/\\k in {150/0.022/0.022,160/0.027/0.027,170/0.025/0.025,180/0.015/x,190/0.01/0.01,200/0.001/0.001} \n{\\draw ({(\\i-130)/10},0) node [below] {\\small $\\i$} --++ (0,\\j) --++ (1,0) --++ (0,{-\\j});\n\\draw [dashed] (0,\\j) node [left] {\\small $\\k$} -- ({(\\i-130)/10},\\j);};\n\\draw (8,0) node [below] {\\small $210$};\n\\end{tikzpicture}\n\\end{center}\n(1) 若数据分布均匀, 记随机变量$X$为各区间中点所代表的身高, 写出$X$的分布及期望;\\\\\n(2) 已知本市身高在区间$[180,210]$的市民人数约占全市总人数的$10 \\%$, 且全市高中生约占全市总人数的$1.2 \\%$. 现在要以该区本次统计数据估算全市高中生身高情况, 从本市市民中任取$1$人, 若此人的身高位于区间$[180,210]$, 试估计此人是高中生的概率;\\\\\n(3) 现从身高在区间$[170,190)$的高中生中分层抽样抽取一个$80$人的样本. 若身高在区间$[170,180)$中样本的均值为$176$厘米, 方差为$10$; 身高在区间$[180,190)$中样本的均值为$184$厘米, 方差为$16$, 试求这$80$人的方差.",
         "objs": [],
         "tags": [
             "第八单元",
@@ -312161,6 +312161,405 @@
         "remark": "",
         "space": "12ex"
     },
+    "012676": {
+        "id": "012676",
+        "content": "设集合$A=(-2,2)$, $B=(-3,1)$, 则$A \\cap B=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题1",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012677": {
+        "id": "012677",
+        "content": "若幂函数$y=x^a$的图像经过点$(\\sqrt[4]3, 3)$, 则实数$a=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题2",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012678": {
+        "id": "012678",
+        "content": "函数$y=\\log_2(2-x)$的定义域为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题3",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012679": {
+        "id": "012679",
+        "content": "$(x+2)^5$的二项展开式中$x^2$的系数为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题4",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012680": {
+        "id": "012680",
+        "content": "若圆锥的轴截面是边长为$1$的正三角形, 则圆锥的侧面积是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题5",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012681": {
+        "id": "012681",
+        "content": "已知$\\alpha$为锐角, 若$\\sin (\\alpha+\\dfrac{\\pi}2)=\\dfrac 35$, 则$\\tan (\\alpha+\\dfrac{\\pi}4)=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题6",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012682": {
+        "id": "012682",
+        "content": "已知某射击爱好者的打靶成绩(单位: 环)的茎叶图如图所示, 其中整数部分为 ``茎'', 小数部分为``叶'', 则这组数据的方差为\\blank{50}(精确到0.01).\n\\begin{center}\n\\begin{tabular}{r|l}\n5 & 6 \\ 8\\\\\n6 & 2 \\ 3 \\ 6 \\ 6\\\\\n7 & 3 \\ 4\n\\end{tabular}\n\\end{center}",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题7",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012683": {
+        "id": "012683",
+        "content": "已知拋物线$C: y^2=16 x$的焦点为$F$, 在$C$上有一点$P$满足$|PF|=13$, 则点$P$到$x$轴的距离为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题8",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012684": {
+        "id": "012684",
+        "content": "某医院需要从$4$名男医生和$3$名女医生中选出$3$名医生去担任``中国进博会''三个不同区域的核酸检测服务工作, 则选出的$3$名医生中, 恰有$1$名女医生的概率是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题9",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012685": {
+        "id": "012685",
+        "content": "如图, 在$\\triangle ABC$中, 点$D$、$E$是线段$BC$上两个动点, 且$\\overrightarrow{AD}+\\overrightarrow{AE}=x \\overrightarrow{AB}+y \\overrightarrow{AC}$, 则$\\dfrac 1x+\\dfrac 9y$的最小值为\\blank{50}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [above] {$A$} coordinate (A);\n\\draw (-1,-2) node [left] {$B$} coordinate (B);\n\\draw (2,-2) node [right] {$C$} coordinate (C);\n\\draw ($(B)!0.3!(C)$) node [below] {$D$} coordinate (D);\n\\draw ($(B)!0.55!(C)$) node [below] {$E$} coordinate (E);\n\\draw [->] (A) -- (B);\n\\draw [->] (A) -- (C);\n\\draw [->] (A) -- (D);\n\\draw [->] (A) -- (E);\n\\draw (B) -- (C);\n\\end{tikzpicture}\n\\end{center}",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题10",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012686": {
+        "id": "012686",
+        "content": "已知定义在$(-\\pi, \\pi)$上的函数$f(x)=x \\cos (x+\\varphi)-\\cos x$($0<\\varphi<\\pi$)为偶函数, 则$f(x)$的严格递减区间为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题11",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012687": {
+        "id": "012687",
+        "content": "已知项数为$m$的有限数列$\\{a_n\\}$($m \\in \\mathbf{N}$, $m \\geq 2$)是$1,2,3, \\ldots, m$的一个排列. 若$|a_1-a_2|\\leq|a_2-a_3|\\leq \\ldots \\leq|a_{m-1}-a_m|$, 且$\\displaystyle\\sum_{k=1}^{m-1}|a_k-a_{k+1}|=m+2$, 则所有可能的$m$值之和为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题12",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012688": {
+        "id": "012688",
+        "content": "已知实数$a$、$b$, 那么``$|a+b|=|a|+|b|$''是``$a b>0$''的\\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件}{充要条件}{既非充分也非必要条件}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题13",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012689": {
+        "id": "012689",
+        "content": "虚数的平方一定是\\bracket{20}.\n\\fourch{正实数}{负实数}{虚数}{虚数或负实数}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题14",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012690": {
+        "id": "012690",
+        "content": "已知直线$l$与平面$\\alpha$相交, 则下列命题中, 正确的个数为\\bracket{20}.\\\\\n\\textcircled{1} 平面$\\alpha$内的所有直线均与直线$l$异面;\\\\\n\\textcircled{2} 平面$\\alpha$内存在与直线$l$垂直的直线;\\\\\n\\textcircled{3} 平面$\\alpha$内不存在直线与直线$l$平行;\\\\\n\\textcircled{4} 平面$\\alpha$内所有直线均与直线$l$相交.\n\\fourch{1}{2}{3}{4}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题15",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012691": {
+        "id": "012691",
+        "content": "已知平面直角坐标系中的直线$l_1: y=3 x$、$l_2: y=-3 x$. 设到$l_1$、$l_2$距离之和为$2 p_1$的点的轨迹是曲线$C_1$, 到$l_1$、$l_2$距离平方和为$2 p_2$的点的轨迹是曲线$C_2$, 其中$p_1$、$p_2>0$. 则$C_1$、$C_2$公共点的个数不可能为\\bracket{20}.\n\\fourch{$0$个}{$4$个}{$8$个}{$12$个}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题16",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012692": {
+        "id": "012692",
+        "content": "已知数列$\\{a_n\\}$是公差不为$0$的等差数列, $a_1=4$, 且$a_1$、$a_3$、$a_4$成等比数列.\\\\\n(1) 求数列$\\{a_n\\}$的通项公式;\\\\\n(2) 求当$n$为何值时, 数列$\\{a_n\\}$的前$n$项和$S_n$取得最大值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题17",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "012693": {
+        "id": "012693",
+        "content": "如图, 三棱锥$P-ABC$中, 侧面$PAB$垂直于底面$ABC$, $PA=PB$, 底面$ABC$是斜边为$AB$的直角三角形, 且$\\angle ABC=30^{\\circ}$, 记$O$为$AB$的中点, $E$为$OC$的中点.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0,0) node [above] {$O$} coordinate (O);\n\\draw (-1,0,0) node [left] {$B$} coordinate (B);\n\\draw (1,0,0) node [right] {$A$} coordinate (A);\n\\draw (0.5,0,{sqrt(3)/2}) node [below] {$C$} coordinate (C);\n\\draw ($(O)!0.5!(C)$) node [left] {$E$} coordinate (E);\n\\draw (0,{sqrt(3)},0) node [above] {$P$} coordinate (P);\n\\draw (B) -- (C) -- (A) -- (P) -- cycle (P) -- (C);\n\\draw [dashed] (A) -- (B) (O) -- (C) (A) -- (E);\n\\end{tikzpicture}\n\\end{center}\n(1) 求证: $PC \\perp AE$;\\\\\n(2) 若$AB=2$, 直线$PC$与底面$ABC$所成角的大小为$60^{\\circ}$, 求四面体$PAOC$的体积.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题18",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "012694": {
+        "id": "012694",
+        "content": "在临港滴水湖畔拟建造一个四边形的露营基地, 如图$ABCD$所示. 为考虑露营客人娱乐休闲的需求, 在四边形$ABCD$区域中, 将$\\triangle ABD$区域设立成花卉观赏区, $\\triangle BCD$区域设立成烧烤区, 边$AB$、$BC$、$CD$、$DA$修建成观赏步道, 边$BD$修建隔离防护栏. 其中$CD=100$米, $BC=200$米, $\\angle A=\\dfrac{\\pi}3$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 1.7]\n\\draw (0,0) node [right] {$C$} coordinate (C);\n\\draw (-1,0) node [left] {$D$} coordinate (D);\n\\draw (-80:2) node [right] {$B$} coordinate (B);\n\\draw ($(B)!{1/sqrt(3)}!30:(D)$) coordinate (O);\n\\draw ($(O)!1!100:(D)$) node [left] {$A$} coordinate (A);\n\\draw (A) -- (B) -- (C) -- (D) -- cycle (D) -- (B);\n\\draw (barycentric cs:A=1,B=1,D=1) node {花卉观赏区};\n\\draw (barycentric cs:B=1,C=1,D=1) node {烧烤区};\n\\end{tikzpicture}\n\\end{center}\n(1) 如果烧烤区是一个占地面积为$9600$平方米的钝角三角形, 那么需要修建多长的隔离防护栏(精确到$0.1$米)?\\\\\n(2) 考虑到烧烤区的安全性, 在规划四边形$ABCD$区域时, 首先保证烧烤区的占地面积最大时, 再使得花卉观赏区的面积尽可能大, 则应如何设计观赏步道?",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题19",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "012695": {
+        "id": "012695",
+        "content": "已知$F_1$、$F_2$分别为椭圆$C_1: \\dfrac{x^2}4+y^2=1$的左、右焦点, 直线$l_1$交椭圆$C_1$于$A$、$B$两点.\\\\\n(1) 求焦点$F_1$、$F_2$的坐标与椭圆$C_1$的离心率$e_1$的值;\\\\\n(2) 若直线$l_1$过点$F_2$且与圆$x^2+y^2=1$相切, 求弦长$|AB|$的值;\\\\\n(3) 若双曲线$C_2$与椭圆共焦点, 离心率为$e_2$, 满足$e_2=2 e_1$, 过点$F_2$作斜率为$k$($k \\neq 0$)的直线$l_2$交$C_2$的渐近线于$C$、$D$两点, 过$C$、$D$的中点$M$分别作两条渐近线的平行线交$C_2$于$P$、$Q$两点, 证明: 直线$PQ$平行于$l_2$.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题20",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "012696": {
+        "id": "012696",
+        "content": "已知定义域为$\\mathbf{R}$的函数$y=f(x)$. 当$a \\in \\mathbf{R}$时, 若$g(x)=\\dfrac{f(x)-f(a)}{x-a}$($x>a$)是严格增函数, 则称$f(x)$是一个``$T(a)$函数''.\\\\\n(1) 分别判断函数$f_1(x)=5 x+3$、$f_2(x)=2 x^2+x+2$是否为$T(1)$函数;\\\\\n(2) 是否存在实数$b$, 使得函数$h(x)=\\begin{cases}\\mathrm{e}^x,& x<0, \\\\b x+1,& x \\geq 0\\end{cases}$是$T(-1)$函数? 若存在, 求实数$b$的取值范围; 否则, 证明你的结论;\\\\\n(3) 已知$J(x)=\\mathrm{e}^x(q x^2+1)$, 其中$q \\in \\mathbf{R}$. 证明: 若$J'(x)$是$\\mathbf{R}$上的严格增函数, 则对任意$n \\in \\mathbf{Z}, J(x)$都是$T(n)$函数.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届浦东新区一模试题21",
+        "edit": [
+            "20221220\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
     "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.",