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收录高三寒假作业第二份新题

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wangweiye7840 2024-01-24 16:25:03 +08:00
parent c7ef22bf4e
commit 37cfe17492
3 changed files with 126 additions and 3 deletions
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6
工具v2/批量收录题目.py
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@ -1,8 +1,8 @@
#修改起始id,出处,文件名
starting_id = 23638 #起始id设置, 来自"寻找空闲题号"功能
raworigin = "测试题目" #题目来源的前缀(中缀在.tex文件中)
starting_id = 23660 #起始id设置, 来自"寻找空闲题号"功能
raworigin = "自拟题目" #题目来源的前缀(中缀在.tex文件中)
filename = r"临时文件\新题比对.tex" #题目的来源.tex文件
editor = "王伟叶" #编辑者姓名
editor = "毛培菁" #编辑者姓名
IndexDescription = "" #设置是否使用后缀, 留空("")则不用后缀, 不留空则以所设字符串作为后缀起始词, 按.tex文件中的顺序编号
idlistpath = r"文本文件\新题收录列表.txt"

3
工具v2/文本文件/新题收录列表.txt
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@ -4,3 +4,6 @@
20240124-161545
023652:023659
20240124-162441
023660:023664,040325,023665

120
题库0.3/Problems.json
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@ -639396,6 +639396,126 @@
"space": "4em",
"unrelated": []
},
"023660": {
"id": "023660",
"content": "若函数 $f(x)=x^3+a x^2-a x$ 在 $\\mathbf{R}$ 上是严格增函数, 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": [
"20240124\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"023661": {
"id": "023661",
"content": "若函数 $f(x)=-\\dfrac{1}{3}x^3+a x$ 有三个单调区间, 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": [
"20240124\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"023662": {
"id": "023662",
"content": "若函数 $f(x)=\\dfrac{1}{2}x^2-16 \\ln 2 x$ 在区间 $[a-\\dfrac{1}{2}, a+\\dfrac{1}{2}]$ 上严格减, 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": [
"20240124\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"023663": {
"id": "023663",
"content": "若函数 $f(x)=\\dfrac{x-1}{x}-\\ln x$, 则 $f(x)$ 的单调增区间为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240124\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"023664": {
"id": "023664",
"content": "已知函数 $f(x)=\\mathrm{e}^{2 x}-a(x+2)$. 当 $a=2$ 时, $f(x)$ 的单调增区间为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240124\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"023665": {
"id": "023665",
"content": "已知函数 $f(x)=k x^3+3(k-1) x^2-k^2+1$($k>0$).\\\\\n(1) 若 $f(x)$ 的单调减区间是 $(0,4)$, 求实数 $k$ 的值;\\\\\n(2) 若 $f(x)$ 在 $(0,4)$ 上为严格减函数, 求实数 $k$ 的取值范围.",
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240124\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "4em",
"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.",