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This commit is contained in:
weiye.wang 2023-04-03 23:23:58 +08:00
parent f0271c1d72
commit 02dbbe10d9
4 changed files with 510 additions and 39 deletions
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8
工具/批量收录题目.py
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@ -1,9 +1,9 @@
#修改起始id,出处,文件名
starting_id = 40506
starting_id = 40527
raworigin = ""
filename = r"C:\Users\weiye\Documents\wwy sync\临时工作区\自拟题目10.tex"
editor = "20230402\t王伟叶"
indexed = True
filename = r"C:\Users\weiye\Documents\wwy sync\临时工作区\自拟题目9.tex"
editor = "20230403\t王伟叶"
indexed = False
import os,re,json

64
工具/批量生成题目pdf.py
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@ -18,42 +18,38 @@ filename = "测试"
#字典字段为文件名, 之后为内容的题号
problems_dict = {
"函数1":"778,1253,1262,1325,1339,1352,2918,2968,3747,4009,4157,4435,4721,5123,5650,7939,10197,10938,11148,12179,12277,12543,12859,12902,13721,30060,30398,30406,10796,12104,30051,30327,30337,30356,31321",
"函数2":"87,342,655,1277,1329,2831,2851,2859,2905,2959,3648,4153,4320,4359,11066,11079,11144,11999,12063,12064,12178,12192,12842,12856,12903,13747,13840,14191,30410,12549,12717,30377,30381,30411,30416,30420,30424,30426",
"数列":"321,403,1781,1788,1810,3210,3219,3283,3309,3310,3312,4472,4476,6793,10777,10942,12067,12112,12239,12933,12979,13921,13925,30072,30473,30499",
"解析几何":"248,282,363,625,960,2162,2252,2268,2278,2372,2418,3421,3437,3438,4246,8760,8866,8912,9784,10951,10958,12199,12213,12255,12548,13060,13063,13069,13097,13118,13134,13982,14505,31229,31233,31323",
"概率统计":"332,340,401,412,654,2586,2605,2664,3574,3585,3640,4575,4584,7361,7423,7502,7630,10868,11993,14091,30227,30275,30495,30520,30540,31158,31196,31320"
# "2024届高二下学期周末卷01":"40001:40017",
# "2025届高一下学期周末卷01":"40018:40036",
# "2024届高二下学期周末卷02":"40037:40056",
# "2025届高一下学期周末卷02":"40057:40082",
# "2025届高一下学期周末卷03":"40083:40104",
# "2025届高一下学期周末卷03小测":"40105:40112",
# "2025届高一下学期周末卷04旧版":"40113:40130",
# "2025届高一下学期周末卷04小测":"40131:40139",
# "2024届高二下学期周末卷03":"40140:40160",
# "2024届高二上学期期末考试":"31267:31287",
# "2025届高一上学期期末考试":"31288:31308",
# "2024届高二下学期周末卷04":"40161:40180",
# "2025届高一下学期周末卷04":"40181:40201",
# "2024届高二下学期周末卷05":"40202:40225",
# "2025届高一下学期周末卷05":"40226:40245",
# "2024届空间向量校本作业":"22048:22083",
# "2024届二项式定理校本作业":"22084:22105",
# "2025届高一下学期周末卷05小测":"40246:40255",
# "2025届高一下学期周末卷06":"40256:40273",
# "2025届高一下学期周末卷06小测":"40274:40282",
# "2025届高一下学期期中复习一(集合逻辑不等式)":"40283:40298",
# "2024届高二下学期周末卷06":"40299:40316",
# "2024届高二下学期周末卷07":"40317:40335",
# "2025届高一下学期测验01":"40336:40349",
# "2025届高一下学期测验02":"40350:40367",
# "2025届高一下学期期中复习二(幂指对函数)":"40368:40386",
# "2025届高一下学期周末卷02小测":"40387:40395",
# "2025届高一下学期周末卷07":"40396:40413",
# "2025届高一下学期周末卷07小测":"40414:40421"
"2024届高二下学期周末卷01":"40001:40017",
"2025届高一下学期周末卷01":"40018:40036",
"2024届高二下学期周末卷02":"40037:40056",
"2025届高一下学期周末卷02":"40057:40082",
"2025届高一下学期周末卷03":"40083:40104",
"2025届高一下学期周末卷03小测":"40105:40112",
"2025届高一下学期周末卷04旧版":"40113:40130",
"2025届高一下学期周末卷04小测":"40131:40139",
"2024届高二下学期周末卷03":"40140:40160",
"2024届高二上学期期末考试":"31267:31287",
"2025届高一上学期期末考试":"31288:31308",
"2024届高二下学期周末卷04":"40161:40180",
"2025届高一下学期周末卷04":"40181:40201",
"2024届高二下学期周末卷05":"40202:40225",
"2025届高一下学期周末卷05":"40226:40245",
"2024届空间向量校本作业":"22048:22083",
"2024届二项式定理校本作业":"22084:22105",
"2025届高一下学期周末卷05小测":"40246:40255",
"2025届高一下学期周末卷06":"40256:40273",
"2025届高一下学期周末卷06小测":"40274:40282",
"2025届高一下学期期中复习一(集合逻辑不等式)":"40283:40298",
"2024届高二下学期周末卷06":"40299:40316",
"2024届高二下学期周末卷07":"40317:40335",
"2025届高一下学期测验01":"40336:40349",
"2025届高一下学期测验02":"40350:40367",
"2025届高一下学期期中复习二(幂指对函数)":"40368:40386",
"2025届高一下学期周末卷02小测":"40387:40395",
"2025届高一下学期周末卷07":"40396:40413",
"2025届高一下学期周末卷07小测":"40414:40421",
"2025届高一下学期周末卷08":"40527:40551"
}

2
工具/新题相似相同比对.py
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@ -1,7 +1,7 @@
import os,re,difflib,Levenshtein,time,json
# 重要!!! 范围
old_problems_range = "1:30000"
old_problems_range = "1:50000"
threshold = 0.85
# 待比对的文件

475
题库0.3/Problems.json
View File

@ -458650,5 +458650,480 @@
"related": [],
"remark": "",
"space": ""
},
"040527": {
"id": "040527",
"content": "$-2023^{\\circ}$是第\\blank{50}象限角.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040528": {
"id": "040528",
"content": "已知$\\alpha$满足$\\tan \\alpha=\\sqrt{2}$, 那么$2 \\sin ^2 \\alpha-\\cos ^2 \\alpha=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040529": {
"id": "040529",
"content": "若函数$y=\\tan (\\omega x+\\dfrac{\\pi}{3})$(其中常数$\\omega \\in \\mathbf{R}$)的最小正周期为$\\pi$, 则常数$\\omega$取值集合的元素个数为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040530": {
"id": "040530",
"content": "函数$y=\\sin (x+\\dfrac{\\pi}{6})$, $x \\in[-\\dfrac{\\pi}{3}, \\dfrac{\\pi}{2}]$的最大值为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040531": {
"id": "040531",
"content": "函数$y=\\sin (\\dfrac{\\pi}{2}(x+\\varphi))$($0<\\varphi<2 \\pi$)是奇函数, 那么常数$\\varphi$的最大值为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040532": {
"id": "040532",
"content": "以$y=\\sin x$和$y=\\cos x$的图像的连续三个交点$A$、$B$、$C$作为$\\triangle ABC$的三个顶点, 则$\\triangle ABC$的面积为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040533": {
"id": "040533",
"content": "设$\\omega>0$, 若函数$y=\\sin \\omega x$在区间$[0,2 \\pi]$上恰有两个零点, 则$\\omega$的取值范围是\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040534": {
"id": "040534",
"content": "函数$y=\\sin ^2 x+2 \\cos x$的定义域为$[-\\dfrac{2 \\pi}{3}, \\alpha]$, 值域为$[-\\dfrac{1}{4}, 2]$, 则$\\alpha$的取值范围是\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040535": {
"id": "040535",
"content": "为了得到函数$y=4 \\sin (2 x+\\dfrac{\\pi}{3})$的图像, 只需将函数$y=4\\sin 2x$的图像向\\blank{20}平移\\blank{50}个单位.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040536": {
"id": "040536",
"content": "函数$y=\\sin (\\dfrac{\\pi}{6}-x)$的单调递减区间为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040537": {
"id": "040537",
"content": "如果函数$y=\\sin 2 x+a \\cdot \\cos 2 x$的图象关于直线$x=-\\dfrac{\\pi}{8}$对称, 则$a=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040538": {
"id": "040538",
"content": "下列说法正确的是\\bracket{20}.\n\\twoch{函数$y=\\sin x$在第一象限内是严格增函数}{函数$y=\\cos x$的图像是中心对称图像}{函数$y=\\tan x$在其定义域内是严格增函数}{函数$y=\\dfrac{\\sin x}{x}$是周期函数}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040539": {
"id": "040539",
"content": "下列函数中, 以$\\dfrac{\\pi}{2}$为周期且单调增区间为$[\\dfrac{\\pi}{4}, \\dfrac{\\pi}{2}]$的函数是\\bracket{20}.\n\\fourch{$|\\cos 2 x|$}{$|\\sin 2 x|$}{$\\sin 4 x$}{$\\cos 2 x$}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040540": {
"id": "040540",
"content": "$C$、$S$分别表示一个扇形的周长和面积, 下列能作为有序数对$(C,S)$的取值的是\\bracket{20}.\n\\fourch{$(3,1)$}{$(5,1)$}{$(4,2)$}{$(4,3)$}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040541": {
"id": "040541",
"content": "对于函数$f(x)=\\max \\{\\sin x, \\cos x\\}$, 下列说法中不正确的是\\blank{50}. (填上符合要求的全部序号)\\\\\n\\textcircled{1} $f(x)$的定义域是$\\mathbf{R}$; \\textcircled{2} $f(x)$的值域是$[-1,1]$; \\textcircled{3} $f(x)$是一个奇函数; \\textcircled{4} $x=2 k \\pi$或$2 k \\pi+\\dfrac{\\pi}{2}$, $k \\in \\mathbf{Z}$时$f(x)$的最大值是$1$; \\textcircled{5} $f(x)$的最小正周期是$2 \\pi$; \\textcircled{6} $f(x)$的递增区间是$[2 k \\pi+\\dfrac{\\pi}{4}, 2 k \\pi+\\dfrac{\\pi}{2}] \\cup[2 k \\pi+\\dfrac{5 \\pi}{4}, 2 k \\pi+2 \\pi]$, $k \\in \\mathbf{Z}$.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040542": {
"id": "040542",
"content": "在$\\triangle ABC$中, 下列结论正确的是\\blank{50}.\\\\\n\\textcircled{1} $\\sin (A+B)+\\sin C=0$;\n\\textcircled{2} $\\cos (A+B)+\\cos C=0$;\n\\textcircled{3} $\\sin (2A+2B)+\\sin 2C=0$;\n\\textcircled{4} $\\cos (2A+2B)+\\cos 2C=0$.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040543": {
"id": "040543",
"content": "在$\\triangle ABC$中, 有$A>B$, 下列结论正确的是\\blank{50}.\\\\\n\\textcircled{1} $\\sin A>\\sin B$;\n\\textcircled{2} $\\cos A<\\cos B$;\n\\textcircled{3} $\\sin A>\\cos B$;\n\\textcircled{4} $\\cot A<\\cot B$.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040544": {
"id": "040544",
"content": "已知函数$f(x)=\\sin (2 x+\\pi)$, 则有\\blank{50}.\\\\\n\\textcircled{1} 函数$f(x)$的图像关于直线$x=\\dfrac{3 \\pi}{4}$对称;\n\\textcircled{2} 函数$f(x)$的图像关于点$(\\pi, 0)$对称;\n\\textcircled{3} 函数$f(x)$在区间$[\\dfrac{\\pi}{4}, \\dfrac{3 \\pi}{4}]$上为严格增函数;\n\\textcircled{4} 函数$f(x)$是偶函数.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040545": {
"id": "040545",
"content": "已知函数$f(x)=|\\cos x|+\\cos |2 x|$, 下列结论正确的是\\blank{50}.\\\\\n\\textcircled{1} 函数$f(x)$是偶函数;\n\\textcircled{2} 函数$f(x)$的最小正周期是$\\pi$;\n\\textcircled{3} 函数$f(x)$在区间$[\\dfrac{3 \\pi}{4}, \\dfrac{5 \\pi}{4}]$上为严格增函数;\n\\textcircled{4} 当$x \\in[\\dfrac{3 \\pi}{4}, \\dfrac{5 \\pi}{4}]$时, 函数$f(x)$的最大值是$2$.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040546": {
"id": "040546",
"content": "在$\\triangle ABC$中, 角$A$、$B$、$C$的对边分别是$a$、$b$、$c$, $a^2+c^2-b^2=a c$, $b=\\sqrt{3}$, 求$2 a+c$的取值范围.",
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040547": {
"id": "040547",
"content": "判断下列函数的奇偶性:\\\\\n(1) $\\sin (2 x+\\varphi)$;\\\\ \n(2) $\\dfrac{1+\\sin x-\\cos x}{1+\\sin x+\\cos x}$.",
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040548": {
"id": "040548",
"content": "讨论关于实数$x$的方程解的个数:\\\\\n(1) $\\sin x+\\cos x=k$, $x \\in[0, \\pi]$;\\\\\n(2) $\\sin ^2 x+\\cos x=k$, $x \\in[0, \\pi]$.",
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
"edit": [
"20230403\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": ""
},
"040549": {
"id": "040549",
"content": "如图, 某城市有一矩形街心广场$ABCD$, 其中$AB=4$百米, $BC=3$百米. 现将挖掘一个三角形水池$DMN$种植荷花, 其中$M$点在$BC$边上, $N$点在$AB$边上, 且必须满足要求: $\\angle MDN=\\dfrac{\\pi}{4}$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, scale = 0.7]\n\\draw (0,0) node [below] {$A$} coordinate (A);\n\\draw (4,0) node [below] {$B$} coordinate (B);\n\\draw (4,3) node [above] {$C$} coordinate (C);\n\\draw (0,3) node [above] {$D$} coordinate (D);\n\\draw ($(A)!0.5!(B)$) node [below] {$N$} coordinate (N);\n\\draw (C) ++ (0,{-4/3}) node [right] {$M$} coordinate (M);\n\\draw (A)--(B)--(C)--(D)--cycle(D)--(N)--(M)--cycle;\n\\end{tikzpicture}\n\\end{center}\n(1) 若$AN=CM=2$百米, 判断$\\triangle DMN$是否符合要求, 并说明理由;\\\\\n(2) 设$\\angle CDM=\\theta$, 求$\\triangle DMN$的面积$S$关于$\\theta$的函数关系式, 并求出$S$的最小值.",
"objs": [],
"tags": [],
"genre": "解答题",
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"duration": -1,
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"origin": "2025届高一下学期周末卷08",
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"20230403\t王伟叶"
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"040550": {
"id": "040550",
"content": "已知函数$y=f(x)$, $x \\in \\mathbf{R}$是周期为$\\pi$的周期函数, 当$x \\in[-\\dfrac{\\pi}{2}, \\dfrac{\\pi}{2})$时, $f(x)=\\sin \\dfrac{x}{2}$.\\\\\n(1) 求$f(\\dfrac{365 \\pi}{3})$的值;\\\\\n(2) 当$x \\in[-\\dfrac{5 \\pi}{2},-\\dfrac{\\pi}{2})$时, 求$f(x)$的表达式;\\\\\n(3) 设$g(x)=f(x)+2|f(x)|$, 求方程$g(x)=\\dfrac{1}{2}$的解集.",
"objs": [],
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"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
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"origin": "2025届高一下学期周末卷08",
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"20230403\t王伟叶"
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"040551": {
"id": "040551",
"content": "已知函数$f(x)=4 \\sin x \\cos (x+\\dfrac{\\pi}{3})+\\sqrt{3}$, $x \\in \\mathbf{R}$.\\\\\n(1) 将函数$f(x)$化简为$y=A \\sin (\\omega x+\\varphi)+B$的形式, 写出其振幅、初相与最小正周期;\\\\\n(2) 求函数$f(x)$的单调增区间、最小值及此时所有$x$的取值;\\\\\n(3) 将函数$f(x)$的图像向右平移$\\dfrac{\\pi}{6}$个单位, 再将所得图像上各点的横坐标缩短为原来的$a$($0<a<1$)倍, 得到$g(x)$的图像, 如果$g(x)$在区间$[-1,1]$上至少取到$100$次最小值, 求$a$的取值范围.",
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷08",
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}
}