diff --git a/工具/批量收录题目.py b/工具/批量收录题目.py
index 5cd40553..579bd530 100644
--- a/工具/批量收录题目.py
+++ b/工具/批量收录题目.py
@@ -1,5 +1,5 @@
 #修改起始id,出处,文件名
-starting_id = 40605
+starting_id = 40626
 raworigin = ""
 filename = r"C:\Users\weiye\Documents\wwy sync\临时工作区\自拟题目12.tex"
 editor = "20230423\t王伟叶"
diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt
index 84e3f980..9ee39cd1 100644
--- a/工具/文本文件/metadata.txt
+++ b/工具/文本文件/metadata.txt
@@ -1,65 +1,65 @@
 ans
 
-40605
-$6$
 
-40606
-$90$
+40626
+$3$
 
-40607
-$10$
+40627
+$462$
 
-40608
-$15$
+40628
+$1$
 
-40609
-$24$
+40629
+$240$
 
-40610
-$(0,\dfrac{9\sqrt{2}-2}4]$
+40630
+$\dfrac{31}3$
 
-40611
-$540$
+40631
+$2$或$3$
 
-40612
-$\dfrac{16\pi}3$
+40632
+$\mathrm{e}$
 
-40613
-$35$
+40633
+$2449440x^6$
 
-40614
-\textcircled{2}\textcircled{4}
+40634
+$\dfrac{15}{56}$
 
-40615
-$[6,+\infty)$
+40635
+$(-\infty,1)$
 
-40616
-$\log_2 \mathrm{e}$
+40636
+$6790$
 
-40617
-C
+40637
+$\dfrac{8\sqrt{3}}9$
 
-40618
+40638
 A
 
-40619
-D
-
-40620
+40639
 B
 
-40621
-(1) $\dfrac{\sqrt{10}}{10}$; (2) $\dfrac{3\sqrt{5}}{5}$
+40640
+C
 
-40622
-(1) $80$; (2) $1$或$-3$
+40641
+B
 
-40623
-(1) $\pm \sqrt{3}$; (2) 存在, 点$M$的坐标为$(-3,0)$
+40642
+(1) $y=-2x+2$; (2) $[3-\sqrt{6},3+\sqrt{6}]$
 
-40624
-(1) $\dfrac{x^2}4+y^2=1$; (2) $k=\pm 2$; (3) 定值为$\dfrac 23$, 证明略
+40643
+(1) $\dfrac 13$; (2) $\dfrac{17}{81}$
 
-40625
-(1) $y=-2$; (2) $k=0$或$4$; (3) $\dfrac 34-\ln 2$
+40644
+(1) $\theta=\dfrac\pi 4$时, $S=\dfrac{2-\sqrt{2}+\sqrt{3}}2R^2$, ``得地率''约为$74\%$; (2) $\theta = \arcsin\dfrac{1+\sqrt{33}}8$时, ``得地率''最大
 
+40645
+(1) $b=\sqrt{3}$; (2) $a=2$; (3) $C$的坐标为$(-\dfrac 43,-\dfrac 13)$或$(-\dfrac 43,\dfrac 13)$
+
+40646
+(1) $f(x)$是``线性控制函数'', $g(x)$不是``线性控制函数'', 理由略; (2) 是真命题, 理由略; (3) 证明略
\ No newline at end of file
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index be7f622d..0d759921 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -475468,5 +475468,404 @@
         "related": [],
         "remark": "",
         "space": "12ex"
+    },
+    "040626": {
+        "id": "040626",
+        "content": "已知$\\mathrm{C}_9^x=\\mathrm{C}_9^{2 x}$, 则正整数$x=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$3$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题1",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040627": {
+        "id": "040627",
+        "content": "$\\mathrm{C}_4^4+\\mathrm{C}_5^4+\\mathrm{C}_6^4+\\mathrm{C}_7^4+\\mathrm{C}_8^4+\\mathrm{C}_9^4+\\mathrm{C}_{10}^4=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$462$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题2",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040628": {
+        "id": "040628",
+        "content": "函数$f(x)=\\dfrac{1}{2} x^2-2 x+\\ln x$的驻点为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$1$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题3",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040629": {
+        "id": "040629",
+        "content": "$(x+\\dfrac{2}{\\sqrt{x}})^6$的二项展开式中常数项是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$240$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题4",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040630": {
+        "id": "040630",
+        "content": "函数$f(x)=\\dfrac{1}{3} x^3+3 x^2+5 x+2$的极大值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$\\dfrac{31}3$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题5",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040631": {
+        "id": "040631",
+        "content": "已知男、女学生共有$8$人, 若从男生中任选$2$人, 从女生中任选$1$人, 共有$30$种不同的选法, 则女生的总人数为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$2$或$3$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题6",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040632": {
+        "id": "040632",
+        "content": "已知函数$f(x)=(x-1) \\cdot \\mathrm{e}^x$, 则$\\displaystyle\\lim _{x \\to 1} \\dfrac{f(x)-f(1)}{x-1}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$\\mathrm{e}$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题7",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040633": {
+        "id": "040633",
+        "content": "$(2+3 x)^{10}$的二项展开式中系数最大的项为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$2449440x^6$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题8",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040634": {
+        "id": "040634",
+        "content": "一场晩会共有$5$个唱歌节目和$3$个舞蹈节目, 随机排序形成一个节目单, 则节目单中前$3$个节目有$2$个舞蹈节目的概率为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$\\dfrac{15}{56}$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题9",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040635": {
+        "id": "040635",
+        "content": "已知关于$x$的不等式$x-\\ln x-a>0$对任意$x \\in(0,+\\infty)$恒成立, 则实数$a$的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$(-\\infty,1)$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题10",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040636": {
+        "id": "040636",
+        "content": "若$(1+x)^8+(2+x)^8=a_0+a_1(1-x)^1+a_2(1-x)^2+\\cdots+a_8(1-x)^8$对任意$x \\in \\mathbf{R}$恒成立, 则$a_4=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$6790$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题11",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040637": {
+        "id": "040637",
+        "content": "已知$A(a, 1-a^2)$, $B(b, 1-b^2)$, 其中$a b<0$, 过$A$、$B$分别作二次函数$y=1-x^2$的切线, 则两条切线与$x$轴围成的三角形面积的最小值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "$\\dfrac{8\\sqrt{3}}9$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题12",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040638": {
+        "id": "040638",
+        "content": "在古典概率模型中, $\\Omega$是样本空间, $x$是样本点, $A$是随机事件, 则下列表述正确的\\bracket{20}.\n\\fourch{$x \\in \\Omega$}{$x \\subseteq \\Omega$}{$A \\in \\Omega$}{$\\Omega \\subseteq A$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "A",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题13",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040639": {
+        "id": "040639",
+        "content": "已知$A$、$B$为两个随机事件, 则``$A$、$B$为互斥事件''是``$A$、$B$为对立事件''的\\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件}{充要条件}{非充分非必要条件}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "B",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题14",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040640": {
+        "id": "040640",
+        "content": "下列关于排列数$\\mathrm{P}_n^{m-1}$和组合数$\\mathrm{C}_n^{m-1}$的计算中正确的是\\bracket{20}.\n\\twoch{$\\mathrm{P}_n^{m-1}=\\dfrac{n !}{(m-1) !}$}{$\\mathrm{P}_n^{m-1}=\\dfrac{n !}{(n-m-1) !}$}{$\\mathrm{C}_n^{m-1}=\\dfrac{n !}{(m-1) !(n-m+1) !}$}{$\\mathrm{C}_n^{m-1}=\\dfrac{n !}{(m-1) !(n-m-1) !}$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "C",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题15",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040641": {
+        "id": "040641",
+        "content": "已知$x \\in \\mathbf{N}$, $y \\in \\mathbf{N}$, $x<y$, 则方程$x^y=y^x$的解的组数为\\bracket{20}.\n\\fourch{$0$}{$1$}{$2$}{无穷多个}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "B",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题16",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040642": {
+        "id": "040642",
+        "content": "已知函数$f(x)=-x^3+a x^2+(1-2 a) x+a$.\\\\\n(1) 求函数$f(x)$在$x=1$处的切线方程;\\\\\n(2) 若函数$f(x)$在$\\mathbf{R}$上严格减, 求实数$a$的取值范围.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "(1) $y=-2x+2$; (2) $[3-\\sqrt{6},3+\\sqrt{6}]$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题17",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "040643": {
+        "id": "040643",
+        "content": "甲、乙两人进行乒乓球决赛, 采用五局三胜制, 对于每局比赛, 甲获胜的概率为$\\dfrac{2}{3}$, 乙获胜的概率为$\\dfrac{1}{3}$, 且每局比赛的结果互相独立.\\\\\n(1) 在乒乓球比赛中, 如果一方全胜最终获得比赛的胜利, 那么将其形象地称之为``剃光头''. 求甲、乙的这场乒兵球决赛``剃光头''的概率;\\\\\n(2) 在乒乓球比赛中, 如果实力较弱的一方最终获得比赛的胜利, 那么将其称之为``爆冷门'', 求甲、乙的这场乒乓球决赛``爆冷门''的概率.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "(1) $\\dfrac 13$; (2) $\\dfrac{17}{81}$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题18",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "040644": {
+        "id": "040644",
+        "content": "``得地率''是指可供人活动的区域的占地面积与总占地面积之比. ``得地率''越高, 也就意味着人们可活动的区域更大, 因此在设计活动场地时, 通常会将``得地率''作为一个重要的指标进行考虑. 上海某大型购物商场欲将地下一层的一块半圆形空地改建为亲子乐园, 建造一个供亲子游玩的海洋球池和两个供人们休息和娱乐, 且大小完全相同的休息区. 除海洋球池和休息区外的剩余空地全部用气垫筑起``高墙'', 以保护亲子乐园中的人们. 如图所示, 设半圆形空地的圆心为$O$, 半径为$R$, $MN$为直径, 矩形海洋球池$ABCD$的顶点$A$、$B$在$MN$上, 顶点$C$、$D$在半圆的圆周上, 矩形休息区$BEFG$和$AHIJ$的顶点$E$、$H$在$MN$上, 顶点$F$、$I$在半圆的圆周上, 顶点$G$、$J$分别在线段$BC$、$AD$上. 已知$\\angle EOF=\\dfrac{\\pi}{6}$, 设$\\angle BOC=\\theta$, 其中$\\theta \\in[\\dfrac{\\pi}{4}, \\dfrac{\\pi}{3}]$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\t{50}\n\\draw (3,0) node [below] {$N$} coordinate (N);\n\\draw (-3,0) node [below] {$M$} coordinate (M);\n\\filldraw (0,0) circle (0.03) node [below] {$O$} coordinate (O);\n\\draw (N) arc (0:180:3) -- cycle;\n\\draw (30:3) node [above right] {$F$} coordinate (F);\n\\draw (150:3) node [above left] {$I$} coordinate (I);\n\\draw (F) -- ($(M)!(F)!(N)$) node [below] {$E$} coordinate (E);\n\\draw (I) -- ($(M)!(I)!(N)$) node [below] {$H$} coordinate (H);\n\\draw (\\t:3) node [above right] {$C$} coordinate (C);\n\\draw ({180-\\t}:3) node [above left] {$D$} coordinate (D);\n\\draw (C) -- ($(M)!(C)!(N)$) node [below] {$B$} coordinate (B);\n\\draw (D) -- ($(M)!(D)!(N)$) node [below] {$A$} coordinate (A);\n\\draw (C)--(D);\n\\draw (I) -- ($(A)!(I)!(D)$) node [right] {$J$} coordinate (J);\n\\draw (F) -- ($(B)!(F)!(C)$) node [left] {$G$} coordinate (G);\n\\draw ($(A)!0.5!(C)$) node {海洋球池};\n\\draw ($(A)!0.5!(I)$) node {息};\n\\draw ($(A)!0.5!(I)$) ++ (0,0.4) node {休};\n\\draw ($(A)!0.5!(I)$) ++ (0,-0.4) node {区};\n\\draw ($(B)!0.5!(F)$) node {息};\n\\draw ($(B)!0.5!(F)$) ++ (0,0.4) node {休};\n\\draw ($(B)!0.5!(F)$) ++ (0,-0.4) node {区};\n\\end{tikzpicture}\n\\end{center}\n(1) 求当$\\theta=\\dfrac{\\pi}{4}$时该亲子乐园可供人活动的区域面积$S$, 并求出此时的``得地率''(结果精确到$1 \\%)$;\\\\\n(2) 求当$\\theta$为多大时, 该亲子乐园的``得地率''最大?",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "(1) $\\theta=\\dfrac\\pi 4$时, $S=\\dfrac{2-\\sqrt{2}+\\sqrt{3}}2R^2$, ``得地率''约为$74\\%$; (2) $\\theta = \\arcsin\\dfrac{1+\\sqrt{33}}8$时, ``得地率''最大",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题19",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "040645": {
+        "id": "040645",
+        "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$F_1$、$F_2$. 椭圆$\\Gamma$上有互异的且不在$x$轴上的三点$A$、$B$、$C$满足直线$AC$经过$F_1$, 直线$BC$经过$F_2$.\\\\\n(1) 若椭圆$\\Gamma$的长轴长为 $4$ , 离心率为$\\dfrac{1}{2}$, 求$b$的值;\\\\\n(2) 若点$C$的坐标为$(0,1)$, $\\triangle ABC$的面积$S=\\dfrac{64}{49} \\sqrt{3}$, 求$a$的值;\\\\\n(3) 若$a=\\sqrt{2}$, $b=1$, 直线$AB$经过点$(\\dfrac{3}{2}, 0)$, 求$C$的坐标.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "(1) $b=\\sqrt{3}$; (2) $a=2$; (3) $C$的坐标为$(-\\dfrac 43,-\\dfrac 13)$或$(-\\dfrac 43,\\dfrac 13)$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题20",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "040646": {
+        "id": "040646",
+        "content": "已知定义在$\\mathbf{R}$上的函数$f(x)$的导函数为$f'(x)$, 若$|f'(x)| \\leq 1$对任意$x \\in \\mathbf{R}$恒成立, 则称函数$f(x)$为``线性控制函数''.\\\\\n(1) 判断函数$f(x)=\\sin x$和$g(x)=\\mathrm{e}^x$是否为``线性控制函数'', 并说明理由;\\\\\n(2) 若函数$f(x)$为``线性控制函数'', 且$f(x)$在$\\mathbf{R}$上严格增, 设$A$、$B$为函数$f(x)$图像上互异的两点, 设直线$AB$的斜率为$k$, 判断命题``$0<k \\leq 1$''的真假, 并说明理由;\\\\\n(3) 若函数$f(x)$为``线性控制函数'', 且$f(x)$是以$T$($T>0$)为周期的周期函数, 证明: 对任意$x_1$、$x_2$都有$|f(x_1)-f(x_2)| \\leq T$.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "(1) $f(x)$是``线性控制函数'', $g(x)$不是``线性控制函数'', 理由略; (2) 是真命题, 理由略; (3) 证明略",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "202304建平高二期中考试试题21",
+        "edit": [
+            "20230423\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
     }
 }
\ No newline at end of file