diff --git a/工具v2/文本文件/新题收录列表.txt b/工具v2/文本文件/新题收录列表.txt
index a5846a57..dbfefcbf 100644
--- a/工具v2/文本文件/新题收录列表.txt
+++ b/工具v2/文本文件/新题收录列表.txt
@@ -295,3 +295,21 @@
 20240131-160317
 030605,030965,024364:024367,011628,024368,030644,024369
 
+20240131-161031
+024370:024379
+
+20240131-162743
+024380,012226,024381:024383,031020,024384:024387
+
+20240131-163136
+024388:024389,030757,004230,024390:024395
+
+20240131-163638
+030599,024396:024401,030933,024402,031003
+
+20240131-164119
+024403:024409,031072,024410:024411
+
+20240131-164456
+024412,030659,000737,024413:024414,011267,024415:024417,017631
+
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index ee52bb5f..9e615ab3 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -22181,7 +22181,8 @@
         ],
         "related": [
             "003676",
-            "011560"
+            "011560",
+            "024406"
         ],
         "remark": "",
         "space": "",
@@ -30722,7 +30723,9 @@
             "20220624\t朱敏慧, 王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024396"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -90800,7 +90803,8 @@
         ],
         "same": [],
         "related": [
-            "002962"
+            "002962",
+            "024385"
         ],
         "remark": "",
         "space": "",
@@ -141355,7 +141359,8 @@
             "012205"
         ],
         "related": [
-            "002793"
+            "002793",
+            "024380"
         ],
         "remark": "",
         "space": "",
@@ -145700,7 +145705,8 @@
             "010990",
             "011415",
             "020312",
-            "024326"
+            "024326",
+            "024373"
         ],
         "remark": "",
         "space": "",
@@ -147489,7 +147495,8 @@
             "004727",
             "010990",
             "011415",
-            "024326"
+            "024326",
+            "024373"
         ],
         "remark": "",
         "space": "",
@@ -239649,7 +239656,9 @@
             "20220726\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024382"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -341124,7 +341133,9 @@
             "20221209\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024403"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -341844,7 +341855,9 @@
         "same": [
             "004554"
         ],
-        "related": [],
+        "related": [
+            "024380"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -343948,7 +343961,8 @@
         ],
         "same": [],
         "related": [
-            "024309"
+            "024309",
+            "024370"
         ],
         "remark": "",
         "space": "",
@@ -344812,7 +344826,9 @@
             "20221210\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024412"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -353827,7 +353843,9 @@
         "same": [
             "014459"
         ],
-        "related": [],
+        "related": [
+            "024417"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -376617,7 +376635,9 @@
             "20230123\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024376"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -378178,7 +378198,9 @@
             "20230123\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024384"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -404330,7 +404352,9 @@
         "same": [
             "012598"
         ],
-        "related": [],
+        "related": [
+            "024417"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -415021,7 +415045,9 @@
             "20230410\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024378"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -428717,7 +428743,8 @@
         ],
         "same": [],
         "related": [
-            "031210"
+            "031210",
+            "024396"
         ],
         "remark": "",
         "space": "",
@@ -487024,7 +487051,9 @@
             "20230606\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024397"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -488677,7 +488706,9 @@
             "20230606\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024414"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -526092,7 +526123,9 @@
             "20230730\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024399"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -563428,7 +563461,9 @@
             "20230101\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024410"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -628595,7 +628630,9 @@
         "edit": [
             "20240104\t毛培菁"
         ],
-        "same": [],
+        "same": [
+            "024404"
+        ],
         "related": [],
         "remark": "",
         "space": "",
@@ -628689,7 +628726,9 @@
             "20240104\t毛培菁"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024373"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -629788,7 +629827,8 @@
         ],
         "same": [],
         "related": [
-            "030607"
+            "030607",
+            "024388"
         ],
         "remark": "",
         "space": "",
@@ -630243,7 +630283,9 @@
             "20240105\t毛培菁"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024391"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -642516,7 +642558,9 @@
             "000589",
             "000419"
         ],
-        "related": [],
+        "related": [
+            "024406"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -647138,7 +647182,9 @@
             "20240125\t毛培菁"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024411"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -658048,7 +658094,8 @@
         "same": [],
         "related": [
             "004490",
-            "023028"
+            "023028",
+            "024383"
         ],
         "remark": "",
         "space": "",
@@ -659242,7 +659289,8 @@
         "same": [],
         "related": [
             "030618",
-            "012267"
+            "012267",
+            "024370"
         ],
         "remark": "",
         "space": "",
@@ -660517,6 +660565,1033 @@
         "space": "",
         "unrelated": []
     },
+    "024370": {
+        "id": "024370",
+        "content": "已知集合 $A=(-1,3)$, 集合 $B=(2,4)$, 则 $A \\cap B=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "012267",
+            "024309"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024371": {
+        "id": "024371",
+        "content": "若复数 $-1+\\sqrt{3}\\mathrm{i}$ ($\\mathrm{i}$ 为虚数单位) 是关于 $x$ 的一元二次方程 $x^2+b x+c=0$($b, c \\in\\mathbf{R}$) 的一个根, 则此方程的另一个根为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024372": {
+        "id": "024372",
+        "content": "已知抛物线 $C$ 的方程为 $y^2=6 x$, 则 $C$ 的焦点与准线的距离为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024373": {
+        "id": "024373",
+        "content": "在 $(1+x)^8$ 的二项展开式中, $x^7$ 项的系数为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "004686",
+            "004747",
+            "023012"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024374": {
+        "id": "024374",
+        "content": "甲、乙两人下棋, 若甲获胜的概率是 $\\dfrac{1}{3}$, 和棋的概率是 $\\dfrac{1}{4}$, 则甲输的概率为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024375": {
+        "id": "024375",
+        "content": "设 $f(x)=\\mathrm{e}^{-x}$, 则函数 $y=f(x)$($x \\in\\mathbf{R}$) 的导函数 $f'(x)=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024376": {
+        "id": "024376",
+        "content": "已知 $ABCD$ 是正方形, 将正方形 $ABCD$ 绕直线 $AD$ 旋转一周所得到的几何体体积记为 $V_1$, 直角三角形 $ABD$ 绕直线 $AD$ 旋转一周所得到的几何体体积记为 $V_2$, 则 $\\dfrac{V_1}{V_2}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "013398"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024377": {
+        "id": "024377",
+        "content": "设无穷等比数列 $\\{x_n\\}$ 的公比为 $q$, 若 $\\displaystyle\\lim _{n \\to \\infty}(a_2+a_3+a_4+\\cdots+a_{n+1})=a_1+a_2$, 则 $q=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024378": {
+        "id": "024378",
+        "content": "设 $x \\in\\mathbf{R}$, 则``$x<1$''是``$x^2<1$''的\\bracket{20} 条件\\bracket{20}.\n\\twoch{充分非必要}{必要非充分}{充要}{既非充分条件又非必要}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "014838"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024379": {
+        "id": "024379",
+        "content": "某工厂月产品的总成本 $y$ (单位: 万元) 与月产量 $x$ (单位: 万件)有如下一组数据, 从散点图分析可知 $y$ 与 $x$ 线性相关. 如果回归方程是 $y=x+3.5$, 那么表格中数据 $a$ 的值为 $\\bracket{20}$.\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|}\n\\hline$x /$ 万件 & 1 & 2 & 3 & 4 \\\\\n\\hline$y /$ 万元 & $3.8$ & $a$ & $6.4$ & $8.2$ \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n\\fourch{$4.4$}{$4.9$}{$5.4$}{$5.6$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "031196"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024380": {
+        "id": "024380",
+        "content": "不等式 $|x+1|<2$ 的解集为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "004554",
+            "012205",
+            "040422"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024381": {
+        "id": "024381",
+        "content": "若椭圆 $\\dfrac{x^2}{a^2}+y^2=1$($a>0$) 的右焦点的坐标为 $(1,0)$, 则 $a=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "031069"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024382": {
+        "id": "024382",
+        "content": "数列 $\\{a_n\\}$ 是等差数列, $a_2=2$, $a_4=6$, 则 $a_1=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "008414",
+            "040025"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024383": {
+        "id": "024383",
+        "content": "设 $k\\in \\mathbf{R}$, 向量 $\\overrightarrow{a}=(-k, 1)$, $\\overrightarrow{b}=(2,3 k-4)$. 若 $\\overrightarrow{a}\\perp \\overrightarrow{b}$, 则 $k=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "024254",
+            "030928"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024384": {
+        "id": "024384",
+        "content": "在 $(1-x^2)(1+x)^6$ 的展开式中, $x^5$ 的系数是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "013460"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024385": {
+        "id": "024385",
+        "content": "设 $a \\in \\mathbf{R}$, 若 $y=a x+\\ln (\\mathrm{e}^x+1)$ 是偶函数, 则 $a=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "002860"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024386": {
+        "id": "024386",
+        "content": "设 $a \\neq 0$, $a, b\\in \\mathbf{R}$, $\\mathrm{i}$ 是虚数单位, 则``$-1+\\mathrm{i}$ 是一元二次方程 $a x^2+b x+2 a=0$的一个根''是``$b=2 a$''的\\bracket{20}条件.\n\\fourch{充分非必要}{必要非充分}{充要}{既非充分又非必要}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "030983"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024387": {
+        "id": "024387",
+        "content": "设 $X \\sim N(\\mu_1, \\sigma_1^2), Y \\sim N(\\mu_2, \\sigma_2^2)$, 这两个正态分布密度曲线如图所示, 下列结论中正确的是\\bracket{20}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, xscale = 0.6, yscale = 2]\n\\draw [->] (-5,0) -- (5,0) node [below] {$x$};\n\\draw [->] (0,-0) -- (0,1.2) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\def\\s{0.4}\n\\def\\m{-0.5}\n\\draw [domain = -5:5, samples = 100, thick] plot (\\x,{1/sqrt(2)/sqrt(pi)/\\s*exp(-(\\x-\\m)*(\\x-\\m)/2/\\s/\\s)});\n\\def\\s{1}\n\\def\\m{0.3}\n\\draw [domain = -5:5, samples = 100, thin] plot (\\x,{1/sqrt(2)/sqrt(pi)/\\s*exp(-(\\x-\\m)*(\\x-\\m)/2/\\s/\\s)});\n\\draw (-5,0.5) node {$X$的正态分布密度曲线};\n\\draw (5,0.3) node {$Y$的正态分布密度曲线};\n\\end{tikzpicture}\n\\end{center}\n\\twoch{$P(Y \\geq \\mu_2) \\geq P$($Y \\geq \\mu_1$)}{$P(X \\leq \\sigma_2) \\leq P$($X \\leq \\sigma_1$)}{对任意正数 $t, P(X \\geq t) \\geq P$($Y \\geq t$)}{对任意正数 $t, P(X \\leq t) \\geq P$($Y \\leq t$)}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024388": {
+        "id": "024388",
+        "content": "已知集合 $A=\\{x |-1<x<2\\}$, $B=\\{-1,0,1\\}$, 则 $A \\cap B=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "023058",
+            "030607"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024389": {
+        "id": "024389",
+        "content": "设 $X$ 是一个随机变量. 若 $E[X]=2$, 则 $E[3X]=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024390": {
+        "id": "024390",
+        "content": "数列 $\\{a_n\\}$ 是等比数列, 公比为 $-\\dfrac{1}{2}$, $a_4=\\dfrac{9}{4}$, 则 $a_1=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024391": {
+        "id": "024391",
+        "content": "圆的方程为 $x^2+y^2+y=0$, 则该圆的面积为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "023077"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024392": {
+        "id": "024392",
+        "content": "已知 $\\overrightarrow{a}$、$\\overrightarrow{b}$ 是两个单位向量, 且 $\\overrightarrow{a}=(a_1, b_1)$, $\\overrightarrow{b}=(a_2, b_2)$. 若 $a_1 a_2+b_1 b_2=-\\dfrac{1}{2}$, 则 $\\langle\\overrightarrow{a}, \\overrightarrow{b}\\rangle=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024393": {
+        "id": "024393",
+        "content": "在 $(x-\\dfrac{2}{x^2})^{14}$ 的二项展开式中, 系数为负数的项的数目为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024394": {
+        "id": "024394",
+        "content": "复数 $z=\\mathrm{i}(1+\\mathrm{i})$ ($\\mathrm{i}$ 是虚数单位) 在复平面内所对应的点在第 $\\bracket{20}$ 象限.\n\\fourch{一}{二}{三}{四}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024395": {
+        "id": "024395",
+        "content": "下列函数中, 是 $(-\\infty,+\\infty)$ 上的严格增函数的是\\bracket{20}.\n\\fourch{$y=2 x+\\cos x$}{$y=3 x-\\mathrm{e}^x$}{$y=4 x \\cdot \\cos x$}{$y=\\dfrac{5 x}{\\mathrm{e}^x}$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024396": {
+        "id": "024396",
+        "content": "双曲线 $\\dfrac{x^2}{2}-y^2=1$ 的焦距为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "031210",
+            "015312",
+            "000848"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024397": {
+        "id": "024397",
+        "content": "在等比数列 $\\{a_n\\}$ 中, $a_2=8$, $a_4=2$, 则公比 $q=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "017911"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024398": {
+        "id": "024398",
+        "content": "函数 $y=2 \\sin x+\\cos x$, $x \\in \\mathbf{R}$ 的值域为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024399": {
+        "id": "024399",
+        "content": "已知 $P(B | A)=\\dfrac{1}{2}$, $P(A \\cap B)=\\dfrac{2}{7}$, 则 $P(A)=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "019637"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024400": {
+        "id": "024400",
+        "content": "曲线 $y=2 \\ln x$ 在 $x=1$ 处的切线方程为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "031641"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024401": {
+        "id": "024401",
+        "content": "已知 $\\alpha \\in\\{-2,-1,-\\dfrac{1}{2}, \\dfrac{1}{2}, 1,2,3\\}$. 若幂函数 $f(x)=x^\\alpha$ 在区间 $(-\\infty, 0)$ 上是严格增函数, 且其图像不过坐标原点, 则 $\\alpha=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [
+            "030694"
+        ],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024402": {
+        "id": "024402",
+        "content": "设 $x \\in \\mathbf{R}$, 则``$\\sin x=1$''是``$x=\\dfrac{\\pi}{2}$''的\\bracket{20}条件\\bracket{20}.\n\\twoch{充分非必要}{必要非充分}{充要}{既非充分条件又非必要}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024403": {
+        "id": "024403",
+        "content": "不等式 $|x-2|>1$ 的解集为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "012182"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024404": {
+        "id": "024404",
+        "content": "已知函数 $f(x)=x^{-1}$, 则 $y=f(x)$ 在 $x=2$ 处的导数 $f'(2)=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [
+            "023008"
+        ],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024405": {
+        "id": "024405",
+        "content": "已知复数 $z$ 的共轭复数为 $\\overline{z}$, 若 $\\mathrm{i}\\cdot \\overline{z}=3-4 \\mathrm{i}$ (其中 $\\mathrm{i}$ 为虚数单位), 则 $|z|=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024406": {
+        "id": "024406",
+        "content": "已知某球体的表面积为 $36 \\pi$, 则该球体的体积是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "000589",
+            "023581"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024407": {
+        "id": "024407",
+        "content": "双曲线 $\\dfrac{y^2}{m^2}-\\dfrac{x^2}{1-m^2}=1$ 的离心率为 2 , 则正实数 $m=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024408": {
+        "id": "024408",
+        "content": "若离散型随机变量 $X$ 的分布为 $\\begin{pmatrix}0 & 1 & 2 \\\\ a & 2 a & \\dfrac{1}{3}\\end{pmatrix}$, 则 $X$ 的数学期望 $E[X]=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024409": {
+        "id": "024409",
+        "content": "在 $(x-1)^7+(x+2)^6$ 的展开式中, $x^2$ 项的系数为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024410": {
+        "id": "024410",
+        "content": "已知空间直线 $l_1$ 和 $l_2$, 则``$l_1$、$l_2$ 无公共点''是``$l_1 \\parallel  l_2$''的\\bracket{20}条件.\n\\fourch{充分非必要}{必要非充分}{充要}{既非充分又非必要}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "020891"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024411": {
+        "id": "024411",
+        "content": "某公司去年上半年的月收入 $x$ (单位: 万元)与月支出 $y$ (单位: 万元)的统计资料如表所示: \n\\begin{center}\\begin{tabular}{|c|c|c|c|c|c|c|}\\hline 月份 & 1 & 2 & 3 & 4 & 5 & 6 \\\\\n\\hline 月收入 $x$ (万元) & 12.3 & 14.5 & 15.0 & 17.0 & 19.8 & 20.6 \\\\\n\\hline 月支出 $y($ 万元 $)$ & 5.75 & 5.63 & 5.82 & 5.89 & 6.11 & 6.18 \\\\\n\\hline\n\\end{tabular}\\end{center}根据上述统计资料, 则\\bracket{20}.\n\\twoch{月收入的中位数是 $15, x$ 与 $y$ 有正相关关系}{月收入的中位数是 $15, x$ 与 $y$ 有负相关关系}{月收入的中位数是 $16, x$ 与 $y$ 有正相关关系}{月收入的中位数是 $16, x$ 与 $y$ 有负相关关系}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "023774"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024412": {
+        "id": "024412",
+        "content": "已知集合 $A=(-3,1)$, 则 $A \\cap \\mathbf{Z}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "012287"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024413": {
+        "id": "024413",
+        "content": "由 $1,2,3,4$ 这四个数字所组成的(数字可重复)三位数共有\\blank{50}个.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024414": {
+        "id": "024414",
+        "content": "若某正四棱锥高为 $1$, 且侧棱与底面所成角为 $45^{\\circ}$, 则该四棱锥的体积为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "017985"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024415": {
+        "id": "024415",
+        "content": "若随机变量 $X \\sim N(\\mu, \\sigma^2)$, 且 $P(X>5)=P(X<-1)=0.2$, 则 $P(2<X<5)=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024416": {
+        "id": "024416",
+        "content": "设 $m \\in \\mathbf{N}$, 若 $z$ 是关于 $x$ 的方程 $x^2+m x+m^2-1=0$ 的一个虚根, 则使得 $|z|$ 最小的 $m$ 的值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024417": {
+        "id": "024417",
+        "content": "双曲线 $x^2-\\dfrac{y^2}{3}=1$ 的两条渐近线的夹角的大小等于\\bracket{20}.\n\\fourch{$\\dfrac{\\pi}{6}$}{$\\dfrac{\\pi}{3}$}{$\\dfrac{2 \\pi}{3}$}{$\\dfrac{5 \\pi}{6}$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240131\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "031268",
+            "014459",
+            "012598"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
     "030001": {
         "id": "030001",
         "content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",
@@ -680386,7 +681461,8 @@
         ],
         "same": [],
         "related": [
-            "023058"
+            "023058",
+            "024388"
         ],
         "remark": "",
         "space": "",
@@ -682384,7 +683460,9 @@
         "edit": [
             "20230107\t王伟叶"
         ],
-        "same": [],
+        "same": [
+            "024401"
+        ],
         "related": [],
         "remark": "",
         "space": "",
@@ -687703,7 +688781,8 @@
         ],
         "same": [],
         "related": [
-            "024325"
+            "024325",
+            "024383"
         ],
         "remark": "",
         "space": "",
@@ -688938,7 +690017,9 @@
             "20230108\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024386"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -690886,7 +691967,9 @@
             "20230108\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024381"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -693863,7 +694946,9 @@
             "20230110\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024379"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -694326,7 +695411,8 @@
         "same": [],
         "related": [
             "009985",
-            "015312"
+            "015312",
+            "024396"
         ],
         "remark": "",
         "space": "",
@@ -696266,7 +697352,9 @@
             "20230303\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024417"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -706280,7 +707368,9 @@
             "20230730\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024400"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -717471,7 +718561,9 @@
             "20230218\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024382"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -727664,7 +728756,9 @@
             "20230401\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024380"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []