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 5207a0e8..4b782657 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": 21,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [
     {
@@ -11,7 +11,7 @@
        "0"
       ]
      },
-     "execution_count": 21,
+     "execution_count": 6,
      "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 = \"30504\"\n",
+    "problems = \"30505\"\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": 20,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [],
    "source": [
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 03e6bfae..d81e603f 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
@@ -2,16 +2,16 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "首个空闲id: 12718 , 直至 020000\n",
+      "首个空闲id: 12739 , 直至 020000\n",
       "首个空闲id: 20227 , 直至 030000\n",
-      "首个空闲id: 30503 , 直至 999999\n"
+      "首个空闲id: 30505 , 直至 999999\n"
      ]
     }
    ],
@@ -45,7 +45,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "mathdept",
+   "display_name": "Python 3.8.15 ('mathdept')",
    "language": "python",
    "name": "python3"
   },
@@ -59,12 +59,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.15 (main, Nov 24 2022, 14:39:17) [MSC v.1916 64 bit (AMD64)]"
+   "version": "3.8.15"
   },
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc"
+    "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 d130902c..ecb4dd49 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
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
@@ -51,27 +51,48 @@
       "题号: 012694 , 字段: ans 中已有该数据: (1) $247.4$米; (2) $AB=AD=100\\sqrt{5}$米, $\\angle C=\\dfrac\\pi 2$\n",
       "题号: 012695 , 字段: ans 中已有该数据: (1) $F_1(-\\sqrt{3},0)$, $F_2(\\sqrt{3},0)$, $e_1=\\dfrac{\\sqrt{3}}2$; (2) $2$; (3) 证明略\n",
       "题号: 012696 , 字段: ans 中已有该数据: (1) $f_1(x)$不是$T(1)$函数, $f_2(x)$是$T(1)$函数; (2) 存在, $b$的取值范围为$(1-\\dfrac 1{\\mathrm{e}},+\\infty)$; (3) 证明略\n",
-      "题号: 012697 , 字段: ans 中已修改数据: $\\{0,1\\}$\n",
-      "题号: 012698 , 字段: ans 中已修改数据: $-3$\n",
-      "题号: 012699 , 字段: ans 中已修改数据: $-3$\n",
-      "题号: 012700 , 字段: ans 中已修改数据: $14$\n",
-      "题号: 012701 , 字段: ans 中已修改数据: $\\sqrt{5}$\n",
-      "题号: 012702 , 字段: ans 中已修改数据: $1$\n",
-      "题号: 012703 , 字段: ans 中已修改数据: $462$\n",
-      "题号: 012704 , 字段: ans 中已修改数据: $4.8$\n",
-      "题号: 012705 , 字段: ans 中已修改数据: $\\dfrac 6{35}$\n",
-      "题号: 012706 , 字段: ans 中已修改数据: $2$\n",
-      "题号: 012707 , 字段: ans 中已修改数据: $\\dfrac{\\sqrt{5}-1}2$\n",
-      "题号: 012708 , 字段: ans 中已修改数据: $200$\n",
-      "题号: 012709 , 字段: ans 中已修改数据: D\n",
-      "题号: 012710 , 字段: ans 中已修改数据: B\n",
-      "题号: 012711 , 字段: ans 中已修改数据: A\n",
-      "题号: 012712 , 字段: ans 中已修改数据: B\n",
-      "题号: 012713 , 字段: ans 中已修改数据: (1) 最小正周期为$\\pi$, $f(x)=-\\sin 2x$; (2) $\\dfrac{4-3\\sqrt{3}}{10}$\n",
-      "题号: 012714 , 字段: ans 中已修改数据: (1) 证明略; (2) 图略, $\\dfrac{3\\sqrt{17}}{17}$\n",
-      "题号: 012715 , 字段: ans 中已修改数据: (1) 大约$9.46\\times 10^5\\text{hm}^2$; (2) 到$2021$年底这个地区的沙漠面积首次小于$8\\times 10^5\\text{hm}^2$\n",
-      "题号: 012716 , 字段: ans 中已修改数据: (1) $\\dfrac{x^2}{4}+y^2=1$; (2) $M(\\dfrac 65,\\dfrac 45)$; (3) $(0,1)$\n",
-      "题号: 012717 , 字段: ans 中已修改数据: (1) $y=x-1$; (2) 存在极小值点$x=\\sqrt{m}$, 无极大值点; (3) $[\\dfrac 12,+\\infty)$\n"
+      "题号: 012697 , 字段: ans 中已有该数据: $\\{0,1\\}$\n",
+      "题号: 012698 , 字段: ans 中已有该数据: $-3$\n",
+      "题号: 012699 , 字段: ans 中已有该数据: $-3$\n",
+      "题号: 012700 , 字段: ans 中已有该数据: $14$\n",
+      "题号: 012701 , 字段: ans 中已有该数据: $\\sqrt{5}$\n",
+      "题号: 012702 , 字段: ans 中已有该数据: $1$\n",
+      "题号: 012703 , 字段: ans 中已有该数据: $462$\n",
+      "题号: 012704 , 字段: ans 中已有该数据: $4.8$\n",
+      "题号: 012705 , 字段: ans 中已有该数据: $\\dfrac 6{35}$\n",
+      "题号: 012706 , 字段: ans 中已有该数据: $2$\n",
+      "题号: 012707 , 字段: ans 中已有该数据: $\\dfrac{\\sqrt{5}-1}2$\n",
+      "题号: 012708 , 字段: ans 中已有该数据: $200$\n",
+      "题号: 012709 , 字段: ans 中已有该数据: D\n",
+      "题号: 012710 , 字段: ans 中已有该数据: B\n",
+      "题号: 012711 , 字段: ans 中已有该数据: A\n",
+      "题号: 012712 , 字段: ans 中已有该数据: B\n",
+      "题号: 012713 , 字段: ans 中已有该数据: (1) 最小正周期为$\\pi$, $f(x)=-\\sin 2x$; (2) $\\dfrac{4-3\\sqrt{3}}{10}$\n",
+      "题号: 012714 , 字段: ans 中已有该数据: (1) 证明略; (2) 图略, $\\dfrac{3\\sqrt{17}}{17}$\n",
+      "题号: 012715 , 字段: ans 中已有该数据: (1) 大约$9.46\\times 10^5\\text{hm}^2$; (2) 到$2021$年底这个地区的沙漠面积首次小于$8\\times 10^5\\text{hm}^2$\n",
+      "题号: 012716 , 字段: ans 中已有该数据: (1) $\\dfrac{x^2}{4}+y^2=1$; (2) $M(\\dfrac 65,\\dfrac 45)$; (3) $(0,1)$\n",
+      "题号: 012717 , 字段: ans 中已有该数据: (1) $y=x-1$; (2) 存在极小值点$x=\\sqrt{m}$, 无极大值点; (3) $[\\dfrac 12,+\\infty)$\n",
+      "题号: 012718 , 字段: ans 中已修改数据: $\\pi$\n",
+      "题号: 012719 , 字段: ans 中已修改数据: $\\{1,2\\}$\n",
+      "题号: 012720 , 字段: ans 中已修改数据: $2\\sqrt{2}$\n",
+      "题号: 012721 , 字段: ans 中已修改数据: $4$\n",
+      "题号: 012722 , 字段: ans 中已修改数据: $15\\pi$\n",
+      "题号: 012723 , 字段: ans 中已修改数据: $x-y=0$\n",
+      "题号: 012724 , 字段: ans 中已修改数据: $m>2$或$m<-2$\n",
+      "题号: 012725 , 字段: ans 中已修改数据: $2\\sqrt{2}$\n",
+      "题号: 012726 , 字段: ans 中已修改数据: $420$\n",
+      "题号: 012727 , 字段: ans 中已修改数据: $[1,4]$\n",
+      "题号: 012728 , 字段: ans 中已修改数据: $[-\\dfrac{11}7,-1]$\n",
+      "题号: 012729 , 字段: ans 中已修改数据: $5454$\n",
+      "题号: 012730 , 字段: ans 中已修改数据: C\n",
+      "题号: 012731 , 字段: ans 中已修改数据: D\n",
+      "题号: 012732 , 字段: ans 中已修改数据: C\n",
+      "题号: 012733 , 字段: ans 中已修改数据: B\n",
+      "题号: 012734 , 字段: ans 中已修改数据: (1) 证明略; (2) $\\arcsin \\dfrac 13$\n",
+      "题号: 012735 , 字段: ans 中已修改数据: (1) $936$万元; (2) $46.8$万元\n",
+      "题号: 012736 , 字段: ans 中已修改数据: (1) $\\dfrac 14$; (2) $\\dfrac{6\\sqrt{10}}5$\n",
+      "题号: 012737 , 字段: ans 中已修改数据: (1) $\\dfrac 12$; (2) $(0,4)$, $(-\\dfrac 53, \\dfrac{8\\sqrt{2}}3)$或$(\\dfrac 53, \\dfrac{8\\sqrt{2}}3)$; (3) 存在, $x_0=4$\n",
+      "题号: 012738 , 字段: ans 中已修改数据: (1) 是``弱增函数'', 理由略; (2) $1$; (3) $-1$和$-2$\n"
      ]
     }
    ],
diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt
index 68bfb288..715c7798 100644
--- a/工具/文本文件/metadata.txt
+++ b/工具/文本文件/metadata.txt
@@ -189,3 +189,85 @@ B
 12717
 (1) $y=x-1$; (2) 存在极小值点$x=\sqrt{m}$, 无极大值点; (3) $[\dfrac 12,+\infty)$
 
+012718
+$\pi$
+
+
+012719
+$\{1,2\}$
+
+
+012720
+$2\sqrt{2}$
+
+
+012721
+$4$
+
+
+012722
+$15\pi$
+
+
+012723
+$x-y=0$
+
+
+012724
+$m>2$或$m<-2$
+
+
+012725
+$2\sqrt{2}$
+
+
+012726
+$420$
+
+
+012727
+$[1,4]$
+
+
+012728
+$[-\dfrac{11}7,-1]$
+
+
+012729
+$5454$
+
+
+012730
+C
+
+
+012731
+D
+
+
+012732
+C
+
+
+012733
+B
+
+
+012734
+(1) 证明略; (2) $\arcsin \dfrac 13$
+
+
+012735
+(1) $936$万元; (2) $46.8$万元
+
+
+012736
+(1) $\dfrac 14$; (2) $\dfrac{6\sqrt{10}}5$
+
+
+012737
+(1) $\dfrac 12$; (2) $(0,4)$, $(-\dfrac 53, \dfrac{8\sqrt{2}}3)$或$(\dfrac 53, \dfrac{8\sqrt{2}}3)$; (3) 存在, $x_0=4$
+
+
+012738
+(1) 是``弱增函数'', 理由略; (2) $1$; (3) $-1$和$-2$
\ No newline at end of file
diff --git a/工具/添加关联题目.ipynb b/工具/添加关联题目.ipynb
index c705a5b2..69582b38 100644
--- a/工具/添加关联题目.ipynb
+++ b/工具/添加关联题目.ipynb
@@ -2,15 +2,15 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
     "import os,re,json,time\n",
     "\n",
     "\"\"\"---设置原题目id与新题目id---\"\"\"\n",
-    "old_id = \"12201\"\n",
-    "new_id = \"30504\"\n",
+    "old_id = \"12281\"\n",
+    "new_id = \"30505\"\n",
     "\"\"\"---设置完毕---\"\"\"\n",
     "\n",
     "old_id = old_id.zfill(6)\n",
@@ -50,7 +50,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "mathdept",
+   "display_name": "Python 3.8.15 ('mathdept')",
    "language": "python",
    "name": "python3"
   },
@@ -64,12 +64,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.15"
+   "version": "3.8.15"
   },
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc"
+    "hash": "42dd566da87765ddbe9b5c5b483063747fec4aacc5469ad554706e4b742e67b2"
    }
   }
  },
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 9c5430a5..2389689f 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
@@ -2,15 +2,15 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
     "#修改起始id,出处,文件名\n",
-    "starting_id = 12697\n",
-    "origin = \"2023届奉贤区一模\"\n",
+    "starting_id = 12718\n",
+    "origin = \"2023届金山区一模\"\n",
     "filename = r\"C:\\Users\\weiye\\Documents\\wwy sync\\临时工作区\\temp.tex\"\n",
-    "editor = \"20221221\\t王伟叶\""
+    "editor = \"20221222\\t王伟叶\""
    ]
   },
   {
@@ -101,7 +101,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "mathdept",
+   "display_name": "Python 3.9.15 ('pythontest')",
    "language": "python",
    "name": "python3"
   },
@@ -120,7 +120,7 @@
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc"
+    "hash": "91219a98e0e9be72efb992f647fe78b593124968b75db0b865552d6787c8db93"
    }
   }
  },
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 4a8ae948..6dc660d4 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": 3,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "012697 填空题\n",
-      "012698 填空题\n",
-      "012699 填空题\n",
-      "012700 填空题\n",
-      "012701 填空题\n",
-      "012702 填空题\n",
-      "012703 填空题\n",
-      "012704 填空题\n",
-      "012705 填空题\n",
-      "012706 填空题\n",
-      "012707 填空题\n",
-      "012708 填空题\n",
-      "012709 选择题\n",
-      "012710 选择题\n",
-      "012711 选择题\n",
-      "012712 选择题\n",
-      "012713 解答题\n",
-      "012714 解答题\n",
-      "012715 解答题\n",
-      "012716 解答题\n",
-      "012717 解答题\n"
+      "012718 填空题\n",
+      "012719 填空题\n",
+      "012720 填空题\n",
+      "012721 填空题\n",
+      "012722 填空题\n",
+      "012723 填空题\n",
+      "012724 填空题\n",
+      "012725 填空题\n",
+      "012726 填空题\n",
+      "012727 填空题\n",
+      "012728 填空题\n",
+      "012729 填空题\n",
+      "012730 选择题\n",
+      "012731 选择题\n",
+      "012732 选择题\n",
+      "012733 选择题\n",
+      "012734 解答题\n",
+      "012735 解答题\n",
+      "012736 解答题\n",
+      "012737 解答题\n",
+      "012738 解答题\n"
      ]
     }
    ],
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 a38df7a1..c96e0293 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": 7,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "开始编译教师版本pdf文件:  临时文件/奉贤一模待校对_教师用_20221221.tex\n",
+      "开始编译教师版本pdf文件:  临时文件/奉贤一模待校对_教师用_20221222.tex\n",
       "0\n",
-      "开始编译学生版本pdf文件:  临时文件/奉贤一模待校对_学生用_20221221.tex\n",
+      "开始编译学生版本pdf文件:  临时文件/奉贤一模待校对_学生用_20221222.tex\n",
       "0\n"
      ]
     }
@@ -26,7 +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",
-    "a\n",
+    "12182:12202\n",
     "\n",
     "\"\"\"\n",
     "\"\"\"---设置题目列表结束---\"\"\"\n",
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 84894072..c5f13e02 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -304040,7 +304040,7 @@
     },
     "012278": {
         "id": "012278",
-        "content": "下列函数定义域为$\\mathbf{R}$的是\\bracket{20}.\n\\fourch{$y=x^{-\\frac 12}$}{$y=x^{-1}$}{$y=x^{\\dfrac 13}$}{$y=x^{\\dfrac 12}$}",
+        "content": "下列函数定义域为$\\mathbf{R}$的是\\bracket{20}.\n\\fourch{$y=x^{-\\frac 12}$}{$y=x^{-1}$}{$y=x^{\\frac 13}$}{$y=x^{\\frac 12}$}",
         "objs": [],
         "tags": [
             "第二单元"
@@ -304118,7 +304118,9 @@
             "20221209\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "030505"
+        ],
         "remark": "",
         "space": ""
     },
@@ -312963,6 +312965,405 @@
         "remark": "",
         "space": "12ex"
     },
+    "012718": {
+        "id": "012718",
+        "content": "函数$y=\\sin (2x-\\dfrac \\pi 4)$的最小正周期$T=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$\\pi$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题1",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012719": {
+        "id": "012719",
+        "content": "已加集合$A=\\{-1,0,1,2\\}$, $B=\\{x | 0<x<3\\}$, 则$A \\cap B=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$\\{1,2\\}$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题2",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012720": {
+        "id": "012720",
+        "content": "已知$x>0$, 则$x+\\dfrac 2x$的最小值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$2\\sqrt{2}$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题3",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012721": {
+        "id": "012721",
+        "content": "已知抛物线$y^2=2px$($p>0$)的焦点坐标为$(2,0)$, 则$p$的值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$4$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题4",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012722": {
+        "id": "012722",
+        "content": "已知圆锥的底面半径为$3$, 高为$4$, 则该圆锥的侧面积为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$15\\pi$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题5",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012723": {
+        "id": "012723",
+        "content": "已知$f(x)=x^2+x$, 则曲线$y=f(x)$在$x=0$处的切线方程是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$x-y=0$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题6",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012724": {
+        "id": "012724",
+        "content": "若$x>0$时, 指数函数$y=(m^2-3)^x$的值总大于$1$, 则实数$m$的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$m>2$或$m<-2$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题7",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012725": {
+        "id": "012725",
+        "content": "已知$m$是实数, $\\mathrm{i}$是虚数单位, 若复数$z=\\dfrac{6+m \\mathrm{i}}{1+2 \\mathrm{i}}$的实部和虚部互为相反数, 则$|z|=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$2\\sqrt{2}$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题8",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012726": {
+        "id": "012726",
+        "content": "从$7$个人中选$4$人负责元旦三天假期的值班工作, 其中第一天安排$2$人, 第二天和第三天均安排$1$人, 且人员不重复, 则一共有种\\blank{50}种安排方式(结果用数值表示).",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$420$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题9",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012727": {
+        "id": "012727",
+        "content": "函数$y=3 \\sin ^2 x+2 \\sqrt 3 \\sin x \\cos x+\\cos ^2 x$, $x \\in[0, \\dfrac{\\pi}2]$的值域为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$[1,4]$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题10",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012728": {
+        "id": "012728",
+        "content": "若集合$A=\\{(x, y) |(x+y)^2+x+y-2 \\leq 0\\}, B=\\{(x, y) |(x-a)^2+(y-2 a-1)^2 \\leq a^2-1\\}$, 且$A \\cap B \\neq \\varnothing$, 则实数$a$的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$[-\\dfrac{11}7,-1]$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题11",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012729": {
+        "id": "012729",
+        "content": "设$\\{a_n\\}$是由正整数组成且项数为$m$的增数列, 已知$a_1=1$, $a_m=100$, 数列$\\{a_n\\}$任意相邻两项的差的绝对值不超过$1$, 若对于$\\{a_n\\}$中任意序数不同的两项$a_s$和$a_t$, 在剩下的项中总存在序数不同的两项$a_p$和$a_q$, 使得$a_s+a_t=a_p+a_q$, 则$\\displaystyle\\sum_{i=1}^{m+1} a_i$的最小值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$5454$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题12",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012730": {
+        "id": "012730",
+        "content": "已知直线$l_1: 3 x-(a+2) y+6=0$, 直线$l_2: a x+(2 a-3) y+2=0$, 则``$a=-9$''是``$l_1\\parallel l_2$''的\\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件}{主要条件}{既非充分又非必要条件}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "C",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题13",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012731": {
+        "id": "012731",
+        "content": "已知角$\\alpha$的终边不在坐标轴上, 则下列一定成等比数列的是\\bracket{20}.\n\\fourch{$\\sin \\alpha, \\cos \\alpha, \\tan \\alpha$}{$\\sin \\alpha, \\tan \\alpha, \\cos \\alpha$}{$\\sin ^2 \\alpha, \\cos \\alpha, \\tan ^2 \\alpha$}{$\\cos ^2 \\alpha, \\sin \\alpha, \\tan ^2 \\alpha$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "D",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题14",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012732": {
+        "id": "012732",
+        "content": "已知正四面体$ABCD$的棱长为$6$, 设集合$\\Omega=\\{P||AP | \\leq 2 \\sqrt 7$, 点$P \\in$平面$BCD\\}$, 则$\\Omega$表示的区域的面积为 \\bracket{20}.\n\\fourch{$\\pi$}{$3 \\pi$}{$4 \\pi$}{$6 \\pi$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "C",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题15",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012733": {
+        "id": "012733",
+        "content": "对于函数$y=f(x)$, 若自变量$x$在区间$[a, b]$上变化时, 函数值$f(x)$的取值范围也恰为$[a, b]$, 则称区问$[a, b]$是函数$y=f(x)$的保值区间, 区间长度为$b-a$. 已知定义域为$\\mathbf{R}$的函数$y=g(x)$的表达式为$g(x)=|x^2-1|$, 给出下列命题: \\textcircled{1} 函数$y=g(x)$有且仅有$4$个保值区间; \\textcircled{2} 函数$y=g(x)$的所有保值区间长度之和为$\\dfrac{3+\\sqrt 5}2$. 下列说法正确的是\\bracket{20}.\n\\twoch{结论\\textcircled{1}成立, 结论\\textcircled{2}不成立}{结论\\textcircled{1}不成立, 结论\\textcircled{2}成立}{两个结论都成立}{两个结论都不成立}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "B",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题16",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "012734": {
+        "id": "012734",
+        "content": "如图, 在四棱锥$P-ABCD$中, 已知$PA\\perp$底面$ABCD$, 底面$ABCD$是正方形, $PA=AB$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0,0) node [left] {$A$} coordinate (A);\n\\draw (2,0,0) node [right] {$D$} coordinate (D);\n\\draw (0,0,2) node [left] {$B$} coordinate (B);\n\\draw (2,0,2) node [right] {$C$} coordinate (C);\n\\draw (0,2,0) node [above] {$P$} coordinate (P);\n\\draw (P) -- (B) -- (C) -- (D) -- cycle (P) -- (C);\n\\draw [dashed] (P) -- (A) -- (B) (A) -- (D) (A) -- (C) (B) -- (D);\n\\end{tikzpicture}\n\\end{center}\n(1) 求证: 直线$BD \\perp$平面$PAC$;\\\\\n(2) 求直线$PC$与平面$PBD$所成的角的大小.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "(1) 证明略; (2) $\\arcsin \\dfrac 13$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题17",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "012735": {
+        "id": "012735",
+        "content": "近两年, 直播带货逐渐成为一种新兴的营销模式, 带来电商行业的新增长点. 某直播平台第$1$年初的启动资金为$500$万元, 由于一些知名主播加入, 平台资金的年平均增长率可达$40\\%$, 每年年底扣除运营成本$a$万元, 再将剩余资金继续投入直播平台.\\\\\n(1) 若 $a=100$, 在第$3$年年底扣除运营成本后, 直播平合的资金有多少万元?\\\\\n(2) 每年的运营成本最多控制在多少万元, 才能使得直播平合在第$6$年年底扣除运营成本后资金达到$3000$万元?(结果精确到$0.1$万元)",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "(1) $936$万元; (2) $46.8$万元",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题18",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "012736": {
+        "id": "012736",
+        "content": "在$\\triangle ABC$中, 设角$A$、$B$、$C$所对的边分别为$a$、$b$、$c$, 且$a \\cos B+(b-4 c) \\cos A=0$.\\\\\n(1) 求$\\cos A$;\\\\\n(2) 若$\\overrightarrow{BD}=2 \\overrightarrow{DC}$, $|\\overrightarrow{AD}|=1$, 求$c+2 b$的最大值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "(1) $\\dfrac 14$; (2) $\\dfrac{6\\sqrt{10}}5$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题19",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "012737": {
+        "id": "012737",
+        "content": "已知椭圆$\\Gamma:\\dfrac{x^2}{a^2}+\\dfrac{y^2}{b^2}=1$($a>b>0$)的左、右焦点分别为$F_1$、$F_2$.\\\\\n(1) 以$F_2$为圆心的圆经过椭圆的左焦点$F_1$和上顶点$B$, 求椭圆$\\Gamma$的离心率;\\\\\n(2) 已知$a=5$, $b=4$ 设点$P$是椭圆$\\Gamma$上一点, 且位于$x$轴的上方, 若$\\triangle PF_1F_2$是等腰三角形, 求点$P$的坐标;\\\\\n(3) 已知$a=2$, $b=\\sqrt{3}$, 过点$F_2$且倾斜角为$\\dfrac\\pi 2$的直线与椭圆$\\Gamma$在$x$轴上方的交点记作$A$, 若动直线$l$也过点$F_2$且与椭圆$\\Gamma$交于$M$、$N$两点(均不同于$A$), 是否存在定直线$l_0: x=x_0$, 使得动直线$l$与$l_0$的交点$C$满足直线$AM$、$AC$、$AN$的斜率总是成等差数列? 若存在, 求常数$x_0$的值; 若不存在, 请说明理由.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "(1) $\\dfrac 12$; (2) $(0,4)$, $(-\\dfrac 53, \\dfrac{8\\sqrt{2}}3)$或$(\\dfrac 53, \\dfrac{8\\sqrt{2}}3)$; (3) 存在, $x_0=4$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题20",
+        "edit": [
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "012738": {
+        "id": "012738",
+        "content": "若函数$y=f(x)$是其定义域内的区间$I$上的严格增函数, 而$y=\\dfrac{f(x)}{x}$是$I$上的严格减函数, 则称$y=f(x)$是$I$上的``弱增函数''. 若数列$\\{a_n\\}$是严格增数列, 而$\\{\\dfrac{a_n}{n}\\}$是严格减数列, 则称$\\{a_n\\}$是``弱增数列''.\\\\\n(1) 判断函数$y=\\ln x$是否为$(\\mathrm{e},+\\infty)$上的``弱增函数'', 并说明理由(其中$\\mathrm{e}$是自然对数的底数);\\\\\n(2) 已知函数$y=f(x)$与函数$y=-2 x^2-4 x-8$的图像关于坐标原点对称, 若$y=f(x)$是$[m, n]$上的``弱增函数\", 求$n-m$的最大值;\\\\\n(3) 已知等差数列$\\{a_n\\}$是首项为$4$的``弱增数列'', 且公差$d$是偶数. 记$\\{a_n\\}$的前$n$项和为$S_n$, 设$T_n=\\dfrac{S_n+2 \\lambda}{2^n}$($n$是正整数, 常数$\\lambda \\geq -2$), 若存在正整数$k$和$m$, 使得$k>m>1$且$T_k=T_m$, 求$\\lambda$所有可能的值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "(1) 是``弱增函数'', 理由略; (2) $1$; (3) $-1$和$-2$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023届金山区一模试题21",
+        "edit": [
+            "20221222\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.",
@@ -332700,5 +333101,29 @@
         ],
         "remark": "",
         "space": "12ex"
+    },
+    "030505": {
+        "id": "030505",
+        "content": "已知等比数列$\\{a_n\\}$的前$n$项和为$S_n$, 前$n$项积为$T_n$, 则下列选项判断正确的是\\bracket{20}.\n\\onech{若$S_{2022}>S_{2021}$, 则数列$\\{a_n\\}$是严格递增数列}{若$T_{2022}>T_{2021}$, 则数列$\\{a_n\\}$是严格递增数列}{若数列$\\{S_n\\}$是严格递增数列, 则$a_{2022} \\ge a_{2021}$}{若数列$\\{T_n\\}$是严格递增数列, 则$a_{2022} \\ge a_{2021}$}",
+        "objs": [],
+        "tags": [
+            "第四单元"
+        ],
+        "genre": "选择题",
+        "ans": "D",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2022届春季高考试题16-20221222修改",
+        "edit": [
+            "20221209\t王伟叶",
+            "20221222\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "012281"
+        ],
+        "remark": "",
+        "space": ""
     }
 }
\ No newline at end of file