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录入一些赋能题目

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wangweiye7840 2024-01-31 15:54:09 +08:00
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12
工具v2/文本文件/新题收录列表.txt
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@ -277,3 +277,15 @@
20240131-153325
030615,030966,030760,024332:024334,031000,024335,030674,013417
20240131-153954
015017,030637,030839,024336:024338,030888,024339,030979,030652
20240131-154406
024340:024348,004177
20240131-154704
030597,030973,030850,024349,030999,024350:024351,030775,031106,030991
20240131-155337
030618,024352:024353,031095,024354,031069,024355:024357,030944

537
题库0.3/Problems.json
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@ -114239,7 +114239,9 @@
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"20230503\t王伟叶"
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@ -533358,7 +533377,9 @@
"20231028\t毛培菁"
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@ -535289,7 +535310,8 @@
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@ -659745,6 +659769,475 @@
"space": "",
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"024336": {
"id": "024336",
"content": "函数 $f(x)=\\dfrac{1}{3}x^3-x$ 的单调增区间为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
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"origin": "自拟题目",
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"unrelated": []
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"024337": {
"id": "024337",
"content": "在 $(2 x+1)^6$ 的展开式中, $x^2$ 的系数为\\blank{50}. (结果用数值表示)",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
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"015042",
"014746"
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"024338": {
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"content": "将两枚质地均匀的骰子各掷一次, 设事件 $A$ 表示两个点数互不相同, 事件 $B$ 表示至少出现一个 $4$ 点, 则 $P(B | A)=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
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"edit": [
"20240131\t毛培菁"
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"related": [
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"004575"
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"024339": {
"id": "024339",
"content": "从 $1 \\sim 9$ 这 $9$ 个数中任取 $4$ 个不同的数, 则这 $4$ 个不同的数的中位数为 $6$ 的概率为\\blank{50}.(结果用最简分数表示)",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240131\t毛培菁"
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"same": [],
"related": [
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"remark": "",
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"024340": {
"id": "024340",
"content": "已知集合 $A=\\{1,2,3,4\\}$, 集合 $B=\\{2,3, m\\}$, 若 $A \\cap B=\\{2,3,4\\}$, 则 $m=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
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"024341": {
"id": "024341",
"content": "已知 $X$ 的分布是伯努利分布, 且 $P(X=1)-P(X=0)=0.2$, 则 $P(X=1)=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
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"remark": "",
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"unrelated": []
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"024342": {
"id": "024342",
"content": "不等式 $\\dfrac{x}{1-x}\\geq 0$ 的解集为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
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"remark": "",
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"024343": {
"id": "024343",
"content": "函数 $f(x)=x^2 \\mathrm{e}^x$ 在 $[-1,1]$ 上的极小值为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
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"024344": {
"id": "024344",
"content": "若 $\\dfrac{a+2 \\mathrm{i}}{\\mathrm{i}}=b+\\mathrm{i}$($a, b \\in \\mathbf{R}$, $\\mathrm{i}$ 为虚数单位 ), 则 $a+b=$\\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": [],
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"remark": "",
"space": "",
"unrelated": []
},
"024345": {
"id": "024345",
"content": "某圆锥的底面积为 $4 \\pi$, 侧面积为 $8 \\pi$, 则该圆锥的母线与底面所成角的大小为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
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"edit": [
"20240131\t毛培菁"
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"same": [],
"related": [
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],
"remark": "",
"space": "",
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},
"024346": {
"id": "024346",
"content": "若正方形 $ABCD$ 的边长为 1 , 记 $\\overrightarrow{AB}=\\overrightarrow{a}$, $\\overrightarrow{BC}=\\overrightarrow{b}$, $\\overrightarrow{AC}=\\overrightarrow{c}$, 则 $|\\overrightarrow{a}+2 \\overrightarrow{b}-3 \\overrightarrow{c}|=$\\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": "",
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},
"024347": {
"id": "024347",
"content": "一个不透明的袋中装有 $5$ 个白球、$4$ 个红球 ($9$个球除颜色外其余完全相同), 经充分混合后, 从袋中随机摸出 $3$ 个球, 则摸出的 $3$ 个球中至少有一个是白球的概率为\\blank{50}. (结果用最简分数表示)",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240131\t毛培菁"
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"same": [],
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"remark": "",
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},
"024348": {
"id": "024348",
"content": "函数 $y=2 \\cos 2 x$($x \\in \\mathbf{R}$) 的最小正周期为\\bracket{20}.\n\\fourch{$\\dfrac{\\pi}{2}$}{$\\pi$}{$2 \\pi$}{$4 \\pi$}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
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],
"same": [],
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"remark": "",
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},
"024349": {
"id": "024349",
"content": "$(1-2 x)^4$ 的二项展开式中 $x^3$ 项的系数为\\blank{50}. (结果用数字作答)",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
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"011415",
"019960"
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"024350": {
"id": "024350",
"content": "函数 $f(x)=x-\\ln x$ 的极小值点为\\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": "",
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"024351": {
"id": "024351",
"content": "随机变量 $X$ 的取值为 $0,1,2$, 若 $P(X=0)=\\dfrac{1}{5}$, $E[X]=1$, 则 $P(X=1)=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240131\t毛培菁"
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"related": [
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"remark": "",
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"024352": {
"id": "024352",
"content": "直线 $l$ 的一个法向量 $\\overrightarrow{n}=(1,-1)$, 且经过圆 $(x-2)^2+(y-4)^2=4$ 的圆心, 则直线 $l$ 的方程为\\blank{50}.",
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"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": "",
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},
"024353": {
"id": "024353",
"content": "函数 $y=x^3-3 x$ 的单调减区间是\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240131\t毛培菁"
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"same": [],
"related": [
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"031589"
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"remark": "",
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"024354": {
"id": "024354",
"content": "指数方程 $2^{x+3}=8^{x^2-9}$ 的解为\\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": "",
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},
"024355": {
"id": "024355",
"content": "将一枚骰子先后抛两次, 则向上的点数之积为 12 的概率为\\blank{50}. (结果用最简分数表示)",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240131\t毛培菁"
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"same": [],
"related": [
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"remark": "",
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"024356": {
"id": "024356",
"content": "已知随机变量 $X$ 的分布为 $\\begin{pmatrix}0 & 1 & m \\\\ 0.2 & n & 0.3\\end{pmatrix}$, 且 $E[X]=1.1$, 则 $D[X]=$\\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": [],
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"remark": "",
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"024357": {
"id": "024357",
"content": "2022 年 2 月 4 日至 2 月 20 日春节期间,第 24 届冬奥会在北京市和张家口市联合举行. 共有 3 个冬奥村供运动员和代表队官员入住, 其中北京冬奥村的容量约为 $2250$ 人, 延庆冬奥村的容量约 $1440$ 人, 张家口冬奥村的容量约 $2610$ 人. 为了解各冬奥村服务质量, 现共准备了 $140$ 份调查问卷, 采用分层抽样的方法, 则需在延庆冬奥村投放的问卷数量是\\bracket{20}.\n\\fourch{$58$ 份}{$50$ 份}{$32$ 份}{$19$ 份}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
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"duration": -1,
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"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.",
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@ -689106,7 +689601,9 @@
"20230108\t王伟叶"
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@ -704312,7 +704809,9 @@
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