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录入一些赋能题目

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wangweiye7840 2024-01-31 15:02:28 +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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@ -244,3 +244,15 @@
20240131-143522
024281:024284,019976,014717,024285:024288
20240131-144016
004164,004166:004168,023054,024289,004170,040657,024290,004176
20240131-144355
030621,024291,030974,024292,030929,024293:024294,030641,024295,030993
20240131-145820
030972,030624,030838,030743,030762,024296,014713,031123,030990,024297
20240131-150152
004724,004726:004728,024298,004106,024299:024300,004736:004737

258
题库0.3/Problems.json
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@ -126618,7 +126618,9 @@
"20220705\t王伟叶"
],
"same": [],
"related": [],
"related": [
"024300"
],
"remark": "",
"space": "",
"unrelated": []
@ -412154,7 +412156,9 @@
"20230314\t王伟叶"
],
"same": [],
"related": [],
"related": [
"024292"
],
"remark": "",
"space": "",
"unrelated": []
@ -419047,7 +419051,9 @@
"20230413\t王伟叶"
],
"same": [],
"related": [],
"related": [
"024298"
],
"remark": "",
"space": "",
"unrelated": []
@ -658739,6 +658745,252 @@
"space": "",
"unrelated": []
},
"024289": {
"id": "024289",
"content": "曲线 $y=\\dfrac{\\cos x}{x}$ 在 $(\\dfrac{\\pi}{2}, 0)$ 处的切线的斜率为\\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": []
},
"024290": {
"id": "024290",
"content": "设 $\\alpha: x>1$ 且 $y>2$, $\\beta: x+y>3$, 则 $\\alpha$ 是 $\\beta$ 成立的\\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件}{充要条件}{既非充分又非必要条件}",
"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": []
},
"024291": {
"id": "024291",
"content": "已知四个数 $1,2,4, a$ 的平均数为 4 , 则这四个数的中位数是\\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": [],
"remark": "",
"space": "",
"unrelated": []
},
"024292": {
"id": "024292",
"content": "已知随机事件 $A$、$B$ 互相独立, 且 $P(A)=0.7$, $P(B)=0.4$, 则 $P(A \\cap \\overline{B})=$\\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": [
"014748"
],
"remark": "",
"space": "",
"unrelated": []
},
"024293": {
"id": "024293",
"content": "若函数 $f(x)=\\mathrm{e}^x-(a-1) x+1$ 在 $(0,1)$ 上是严格减函数, 则实数 $a$ 的取值范围是\\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": []
},
"024294": {
"id": "024294",
"content": "将编号为 $1,2,3,4$ 的 4 个小球放入 3 个不同的盒子中, 每个盒子不空, 若放在同一盒子里的 2 个小球编号不相邻, 则共有\\blank{50}种不同的放法.",
"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": []
},
"024295": {
"id": "024295",
"content": "甲乙两人分别独立参加某高校自主招生考试, 若甲、乙能通过面试的概率都是 $\\dfrac{2}{3}$, 则面试结束后通过的人数 $X$ 的期望是\\bracket{20}.\n\\fourch{$\\dfrac{4}{3}$}{$\\dfrac{2}{3}$}{$\\dfrac{10}{9}$}{$\\dfrac{8}{9}$}",
"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": []
},
"024296": {
"id": "024296",
"content": "若 $f(x)=x^2-2 x-4 \\ln x$, 则 $f'(x)>0$ 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": [],
"remark": "",
"space": "",
"unrelated": []
},
"024297": {
"id": "024297",
"content": "函数 $f(x)=(\\dfrac{2}{1+\\mathrm{e}^x}-1) \\sin x$ 图像的大致形状是\\bracket{20}.\n\\fourch{\\begin{tikzpicture}[>=latex, xscale = 0.23, yscale = 0.5]\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -4:4, samples = 100] plot (\\x,{-(2/(1+exp(\\x))-1)*sin(\\x/pi*180)});\n\\end{tikzpicture}}{\\begin{tikzpicture}[>=latex, xscale = 0.23, yscale = 0.5]\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -4:4, samples = 100] plot (\\x,{-(2/(1+exp(\\x))-1)*cos(\\x/pi*180)});\n\\end{tikzpicture}}{\\begin{tikzpicture}[>=latex, xscale = 0.23, yscale = 0.5]\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -4:4, samples = 100] plot (\\x,{(2/(1+exp(\\x))-1)*sin(\\x/pi*180)});\n\\end{tikzpicture}}{\\begin{tikzpicture}[>=latex, xscale = 0.23, yscale = 0.5]\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -4:4, samples = 100] plot (\\x,{(2/(1+exp(\\x))-1)*cos(\\x/pi*180)});\n\\end{tikzpicture}}",
"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": []
},
"024298": {
"id": "024298",
"content": "已知随机变量 $X$ 服从正态分布 $N(0, \\sigma^2)$, 且 $P(X<-1)=0.1$, 则 $P(0<X<1)=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240131\t毛培菁"
],
"same": [],
"related": [
"015000"
],
"remark": "",
"space": "",
"unrelated": []
},
"024299": {
"id": "024299",
"content": "若函数 $f(x)=x^2+\\ln x+m x-1$ 在 $(1,2)$ 上是严格增函数, 则实数 $m$ 的取值范围是\\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": []
},
"024300": {
"id": "024300",
"content": "已知函数 $f(x)=g(x)+|2 x-1|$ 为奇函数, 若 $g(-1)=7$, 则 $g(1)=$\\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": [
"004108"
],
"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.",