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收录高一下学期周末卷14及增加相应的题号分类记录

This commit is contained in:
weiye.wang 2023-05-20 22:42:33 +08:00
parent df427c691d
commit e7ae3624e8
6 changed files with 387 additions and 6 deletions
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2
工具/关键字筛选题号.py
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@ -2,7 +2,7 @@ import os,re,json
"""---设置关键字, 同一field下不同选项为or关系, 同一字典中不同字段间为and关系, 不同字典间为or关系, _not表示列表中的关键字都不含, 同一字典中的数字用来供应同一字段不同的条件之间的and---"""
keywords_dict_table = [
{"origin":["月考"]}
{"content":["k"],"content2":["k_1"],"content3":["k_2"]}
]
"""---关键字设置完毕---"""
# 示例： keywords_dict_table = [

6
工具/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 = 40716
starting_id = 40753
raworigin = ""
filename = r"C:\Users\weiye\Documents\wwy sync\临时工作区\自拟题目12.tex"
editor = "20230516\t王伟叶"
filename = r"C:\Users\weiye\Documents\wwy sync\临时工作区\自拟题目13.tex"
editor = "20230520\t王伟叶"
indexed = False
IndexDescription = "试题"

1
工具/文本文件/批量题目分类号记录.txt
View File

@ -215,6 +215,7 @@ problems_dict = {
"2025届高一下学期周末卷11":"40687:40706",
"2025届高一下学期周末卷10与11小测":"40707:40715",
"2025届高一下学期周末卷13":"40716:40737",
"2025届高一下学期周末卷14":"40753:40771",
"2025届高一下学期期中复习一(集合逻辑不等式)":"40283:40298",
"2025届高一下学期期中复习二(幂指对函数)":"40368:40386",
"2025届高一下学期测验01":"40336:40349",

2
工具/文本文件/题号筛选.txt
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@ -1 +1 @@
004619:004660,004745:004765,017223:017243,030282,031220,040506:040526
000264,003704,008947,011068,011600,012611,012716,012937,014006,014762,015015,015031,015183,016594,016605,016610:016611,031081,031090,031110,031380,040052,040154,040441

2
工具/题号选题pdf生成.py
View File

@ -7,7 +7,7 @@ import os,re,time,json,sys
"""---设置题目列表---"""
#留空为编译全题库, a为读取文本文件中的题号筛选.txt文件生成题库
problems = r"""
017223:017243
a
"""
"""---设置题目列表结束---"""

380
题库0.3/Problems.json
View File

@ -549014,5 +549014,385 @@
"remark": "",
"space": "4em",
"unrelated": []
},
"040753": {
"id": "040753",
"content": "计算: $\\dfrac{1-\\mathrm{i}}{1+\\mathrm{i}}=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040754": {
"id": "040754",
"content": "复数$\\dfrac{5}{1+2 \\mathrm{i}}$的共牛复数是\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040755": {
"id": "040755",
"content": "求值: $\\dfrac{(1-4 \\mathrm{i})(1+\\mathrm{i})+2+4 \\mathrm{i}}{3+4 \\mathrm{i}}=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040756": {
"id": "040756",
"content": "已知$x$是实数, $y$是纯虚数且滿足$(2 x-1)+(3-y) \\mathrm{i}=y-\\mathrm{i}$, 则$x=$\\blank{50}, $y=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040757": {
"id": "040757",
"content": "已知复数$z_1=1+3 \\mathrm{i}$, $z_2=\\sqrt{3} \\cos \\alpha+\\mathrm{i} \\sin \\alpha$, $z=z_1 \\cdot z_2$, 则$\\text{Re} z$的取大值为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040758": {
"id": "040758",
"content": "复数$z=3+a \\mathrm{i}$满足条件$|z-2|<2$, 则实数$a$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14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040759": {
"id": "040759",
"content": "若$z=\\dfrac{(3-4 \\mathrm{i})^2 \\cdot(-\\dfrac{\\sqrt{3}}{2}-\\dfrac{1}{2} \\mathrm{i})^{10}}{(\\sqrt{2}-\\sqrt{3} \\mathrm{i})^4}$, 则$|z|=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040760": {
"id": "040760",
"content": "已知$z$、$w$为复数, $(1+3 \\mathrm{i}) z$为纯虚数, $w=\\dfrac{z}{2+\\mathrm{i}}$, 且$|w|=5 \\sqrt{2}$, 则$w=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040761": {
"id": "040761",
"content": "若 $3-\\mathrm{i}$ 是关于$x$的实系数一元二次方程$2 x^2+p x+q=0$的一个根, 则$p+q=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040762": {
"id": "040762",
"content": "复数$5-12 \\mathrm{i}$的平方根为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040763": {
"id": "040763",
"content": "在复数范围内分解因式: $x^4-y^4=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040764": {
"id": "040764",
"content": "若关于$x$的方程$x^2-(2 \\mathrm{i}-1) x+3 m-\\mathrm{i}=0$有实根, 则实数$m=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040765": {
"id": "040765",
"content": "$\\triangle ABC$三个顶点所对应的复数分别为$z_1, z_2, z_3$, 复数$z$满足$|z-z_1|=|z-z_2|=|z-z_3|$, 则$z$所对应的点是$\\triangle ABC$的\\blank{50}(填内心、外心、重心、垂心等).",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040766": {
"id": "040766",
"content": "设$z, z_1, z_2 \\in \\mathbf{C}$, 有下列命题: \\textcircled{1} $z+\\overline {z}=0$是$z$为纯虚数的充要条件; \\textcircled{2} $z^2 \\geq 0$是$z \\in \\mathbf{R}$的充要条件; \\textcircled{3} 若$z_1^2-z_2^2>0$, 则$z_1^2>z_2{ }^2$; \\textcircled{4} 总有$z_1 \\cdot \\overline{z_2}+\\overline{z_1} \\cdot z_2 \\in \\mathbf{R}$. 其中是真命题的有\\blank{50}. (写出所有正确序号)",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040767": {
"id": "040767",
"content": "设全体虚数组成的集合为$I$, 那么下列关系中不正确的是\\bracket{20}.\n\\fourch{$\\mathbf{R} \\cup I=\\mathbf{C}$}{$\\mathbf{R} \\cap I=\\varnothing$}{$\\mathbf{R} \\cup \\mathbf{C}=\\mathbf{C}$}{$\\mathbf{R} \\cap \\mathbf{C}=I$}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040768": {
"id": "040768",
"content": "若$(\\dfrac{1+\\mathrm{i}}{1-\\mathrm{i}})^n=\\mathrm{i}$, 则整数$n$等于\\bracket{20}.\n\\fourch{$4 k$($k \\in \\mathbf{Z}$)}{$4 k+1$($k \\in \\mathbf{Z}$)}{$4 k+2$($k \\in \\mathbf{Z}$)}{$4 k+3$($k \\in \\mathbf{Z}$)}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"040769": {
"id": "040769",
"content": "已知复数$z_1=a^2-3+(a+5) \\mathrm{i}$, $z_2=a-1+(a^2+2 a-1) \\mathrm{i}$($a \\in \\mathbf{R}$)分别对应向量$\\overrightarrow{OZ_1}$、$\\overrightarrow{OZ_2}$($O$为原点), 若向量$\\overrightarrow{Z_1Z_2}$对应的复数为纯虚数, 求$a$的值.",
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "4em",
"unrelated": []
},
"040770": {
"id": "040770",
"content": "已知$z$是虚数, $w=z+\\dfrac{1}{z}$, 且$-1<w<2$.\\\\\n(1) 求$z \\cdot \\overline {z}$的值, 以及$\\text{Re} z$的取值范围;\\\\\n(2) 设$u=\\dfrac{1-z}{1+z}$, 求证: $u$为纯虚数.",
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下学期周末卷14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "4em",
"unrelated": []
},
"040771": {
"id": "040771",
"content": "已知$z=1-2 \\mathrm{i}$, 求:\\\\\n(1) $\\dfrac{2}{z+\\mathrm{i}}-(\\overline {z}+1)$的值;\\\\\n(2) 求适合不等式$\\dfrac{|a z-\\mathrm{i}|}{\\sqrt{a+1}} \\geq \\dfrac{\\sqrt{2}}{2}$的实数$a$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14",
"edit": [
"20230520\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "4em",
"unrelated": []
}
}