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录入一些赋能题目

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wangweiye7840 2024-01-31 16:04:37 +08:00
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commit 1f64349ffb
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6
工具v2/文本文件/新题收录列表.txt
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@ -289,3 +289,9 @@
20240131-155337
030618,024352:024353,031095,024354,031069,024355:024357,030944
20240131-155912
024358:024359,011243,024360:024362,011248:011249,011254,024363
20240131-160317
030605,030965,024364:024367,011628,024368,030644,024369

311
题库0.3/Problems.json
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@ -22338,7 +22338,9 @@
"20220624\t朱敏慧, 王伟叶"
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@ -296462,7 +296464,9 @@
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@ -340735,7 +340739,9 @@
"20221209\t王伟叶"
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@ -376937,7 +376943,9 @@
"20230123\t王伟叶"
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@ -424168,7 +424176,9 @@
"20230414\t王伟叶"
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@ -465868,7 +465878,9 @@
"20230503\t王伟叶"
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@ -471544,7 +471556,9 @@
"030884",
"040488"
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@ -524109,7 +524123,9 @@
"20230730\t王伟叶"
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@ -572582,7 +572598,9 @@
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@ -660240,6 +660258,265 @@
"space": "",
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},
"024358": {
"id": "024358",
"content": "已知集合 $A=\\{-1,0,1,2\\}$, $B=\\{x | x^2 \\leq 1\\}$, 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": [],
"remark": "",
"space": "",
"unrelated": []
},
"024359": {
"id": "024359",
"content": "已知复数 $z$ 满足 $\\dfrac{1}{z-1}=\\mathrm{i}$ ($\\mathrm{i}$ 为虚数单位), 则 $|\\overline{z}|=$\\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": []
},
"024360": {
"id": "024360",
"content": "函数 $f(x)=\\dfrac{1}{3}x^3+x^2-2$ 在区间 $(-\\infty,-1]$ 上的最大值为\\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": [
"040630"
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"remark": "",
"space": "",
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},
"024361": {
"id": "024361",
"content": "若 $(x+\\dfrac{1}{x})^n$ 展开式的系数之和为 64 , 则展开式的常数项的值为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
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"20240131\t毛培菁"
],
"same": [],
"related": [
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"000593",
"016978"
],
"remark": "",
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},
"024362": {
"id": "024362",
"content": "设随机变量 $X$ 服从二项分布 $B(6, p)$, 且 $E[X]=2$, 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"
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"same": [],
"related": [
"013411"
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"remark": "",
"space": "",
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},
"024363": {
"id": "024363",
"content": "以圆 $x^2+y^2+4 x+3=0$ 的圆心为焦点的拋物线标准方程为\\bracket{20}.\n\\fourch{$y^2=4 x$}{$y^2=-4 x$}{$y^2=-8 x$}{$y^2=8 x$}",
"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": []
},
"024364": {
"id": "024364",
"content": "函数 $f(x)=x-\\ln x$ 的最小值是\\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": [],
"remark": "",
"space": "",
"unrelated": []
},
"024365": {
"id": "024365",
"content": "设随机变量 $X \\sim N(30,6^2)$, 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": "",
"space": "",
"unrelated": []
},
"024366": {
"id": "024366",
"content": "如果一个圆柱的底面积和侧面积分别为 $9 \\pi$ 和 $15 \\pi$, 则该圆柱的体积为\\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": [
"015167",
"019550"
],
"remark": "",
"space": "",
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},
"024367": {
"id": "024367",
"content": "首项为 $1$, 公比为 $-\\dfrac{1}{2}$ 的无穷等比数列 $\\{a_n\\}$ 的前 $n$ 和的极限为\\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": [
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"030884",
"040488"
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},
"024368": {
"id": "024368",
"content": "甲乙两射手独立地射击同一目标, 他们的命中率分别为 0.8 和 0.9 , 则目标被击中的概率为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
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"20240131\t毛培菁"
],
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"021136",
"032025"
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"remark": "",
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"024369": {
"id": "024369",
"content": "甲乙两工厂生产某种产品, 抽取连续 5 个月的产品生产产量 (单位: 件) 情况如下:\n甲: $80$、$70$、$100$、$50$、$90$;\n乙: $60$、$70$、$80$、$55$、$95$,\n则下列说法中正确的是\\bracket{20}.\n\\twoch{甲平均产量高, 甲产量稳定}{甲平均产量高, 乙产量稳定}{乙平均产量高, 甲产量稳定}{乙平均产量高, 乙产量稳定}",
"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": []
},
"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.",
@ -686448,7 +686725,9 @@
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"017229"
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@ -714703,7 +714982,9 @@
"20231223\t王伟叶, 毛培菁"
],
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"024368"
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@ -729273,7 +729554,9 @@
"030884",
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@ -732921,7 +733204,9 @@
"20230423\t王伟叶"
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"024360"
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