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20220928 evening

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Wang Weiye 2022-09-28 20:40:37 +08:00
parent b1adcff80a
commit d24ad6df19
3 changed files with 49 additions and 56 deletions
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62
工具/分年级专用工具/讲义题目分类按顺序梳理_制答题卡用.ipynb
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@ -2,61 +2,51 @@
"cells": [ "cells": [
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 2,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
"output_type": "stream", "output_type": "stream",
"text": [ "text": [
"1 填空题 3\n", "1 填空题 1\n",
"2 解答题 5\n",
"3 解答题 2\n",
"4 填空题 1\n",
"5 填空题 1\n",
"6 填空题 1\n",
"7 解答题 4\n",
"8 解答题 1\n",
"9 选择题 2\n",
"10 填空题 1\n",
"11 解答题 1\n",
"12 解答题 1\n",
"13 填空题 1\n",
"14 解答题 1\n",
"15 解答题 2\n",
"16 解答题 1\n",
"1 填空题 1\n",
"2 填空题 1\n", "2 填空题 1\n",
"3 填空题 1\n", "3 填空题 1\n",
"4 选择题 1\n", "4 填空题 1\n",
"5 解答题 1\n", "5 填空题 1\n",
"6 解答题 1\n", "6 填空题 1\n",
"7 填空题 1\n", "7 填空题 1\n",
"8 填空题 1\n", "8 填空题 1\n",
"9 解答题 1\n", "9 解答题 1\n",
"10 填空题 1\n", "10 填空题 1\n",
"11 填空题 1\n", "11 填空题 1\n",
"12 填空题 1\n", "12 选择题 1\n",
"13 填空题 1\n", "13 解答题 1\n",
"14 填空题 1\n", "14 解答题 3\n"
"15 填空题 1\n",
"16 填空题 1\n",
"17 填空题 1\n",
"18 解答题 1\n",
"19 解答题 1\n",
"20 填空题 2\n",
"21 填空题 1\n",
"22 解答题 1\n",
"23 填空题 1\n",
"24 解答题 1\n",
"25 填空题 1\n",
"26 填空题 1\n",
"27 填空题 1\n",
"28 填空题 1\n",
"29 解答题 1\n",
"30 填空题 1\n",
"31 填空题 2\n",
"32 解答题 1\n",
"33 选择题 1\n",
"34 填空题 3\n",
"35 填空题 1\n",
"36 解答题 1\n",
"37 解答题 1\n",
"38 解答题 1\n",
"39 填空题 1\n",
"40 填空题 1\n"
] ]
} }
], ],
"source": [ "source": [
"import os,re\n", "import os,re\n",
"#修改文件名\n", "#修改文件名\n",
"# filename = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\\17_平面向量的投影及数量积.tex\"\n", "filename = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\\18_复数的代数运算与性质.tex\"\n",
"filename = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\23届\\上学期周末卷\\国庆卷.tex\"\n", "# filename = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\23届\\上学期周末卷\\国庆卷.tex\"\n",
"outputfile = \"临时文件/题目状态.txt\"\n", "outputfile = \"临时文件/题目状态.txt\"\n",
"\n", "\n",
"outputstr = \"\"\n", "outputstr = \"\"\n",

25
工具/讲义生成.ipynb
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@ -2,7 +2,7 @@
"cells": [ "cells": [
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 1, "execution_count": 2,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -11,9 +11,11 @@
"text": [ "text": [
"正在处理题块 1 .\n", "正在处理题块 1 .\n",
"题块 1 处理完毕.\n", "题块 1 处理完毕.\n",
"开始编译教师版本pdf文件: 临时文件/国庆卷_教师_20220928.tex\n", "正在处理题块 2 .\n",
"题块 2 处理完毕.\n",
"开始编译教师版本pdf文件: 临时文件/18_复数的代数运算与性质_教师_20220928.tex\n",
"0\n", "0\n",
"开始编译学生版本pdf文件: 临时文件/国庆卷_学生_20220928.tex\n", "开始编译学生版本pdf文件: 临时文件/18_复数的代数运算与性质_学生_20220928.tex\n",
"0\n" "0\n"
] ]
} }
@ -26,34 +28,35 @@
"\"\"\"---设置模式结束---\"\"\"\n", "\"\"\"---设置模式结束---\"\"\"\n",
"\n", "\n",
"\"\"\"---设置模板文件名---\"\"\"\n", "\"\"\"---设置模板文件名---\"\"\"\n",
"# template_file = \"模板文件/第一轮复习讲义模板.tex\"\n", "template_file = \"模板文件/第一轮复习讲义模板.tex\"\n",
"# template_file = \"模板文件/测验周末卷模板.tex\"\n", "# template_file = \"模板文件/测验周末卷模板.tex\"\n",
"template_file = \"模板文件/日常选题讲义模板.tex\"\n", "# template_file = \"模板文件/日常选题讲义模板.tex\"\n",
"\"\"\"---设置模板文件名结束---\"\"\"\n", "\"\"\"---设置模板文件名结束---\"\"\"\n",
"\n", "\n",
"\"\"\"---设置其他预处理替换命令---\"\"\"\n", "\"\"\"---设置其他预处理替换命令---\"\"\"\n",
"#2023届第一轮讲义更换标题\n", "#2023届第一轮讲义更换标题\n",
"# exec_list = [(\"标题数字待处理\",\"17\"),(\"标题文字待处理\",\"平面向量的投影及数量积\")] \n", "exec_list = [(\"标题数字待处理\",\"18\"),(\"标题文字待处理\",\"复数的代数运算与性质\")] \n",
"# enumi_mode = 0\n", "enumi_mode = 0\n",
"\n", "\n",
"#2023届测验卷与周末卷\n", "#2023届测验卷与周末卷\n",
"# exec_list = [(\"标题替换\",\"周末卷03\")]\n", "# exec_list = [(\"标题替换\",\"周末卷03\")]\n",
"# enumi_mode = 1\n", "# enumi_mode = 1\n",
"\n", "\n",
"#日常选题讲义\n", "#日常选题讲义\n",
"exec_list = [(\"标题文字待处理\",\"2022年国庆卷(易错题订正)\")] \n", "# exec_list = [(\"标题文字待处理\",\"2022年国庆卷(易错题订正)\")] \n",
"enumi_mode = 0\n", "# enumi_mode = 0\n",
"\n", "\n",
"\"\"\"---其他预处理替换命令结束---\"\"\"\n", "\"\"\"---其他预处理替换命令结束---\"\"\"\n",
"\n", "\n",
"\"\"\"---设置目标文件名---\"\"\"\n", "\"\"\"---设置目标文件名---\"\"\"\n",
"destination_file = \"临时文件/国庆卷\"\n", "destination_file = \"临时文件/18_复数的代数运算与性质\"\n",
"\"\"\"---设置目标文件名结束---\"\"\"\n", "\"\"\"---设置目标文件名结束---\"\"\"\n",
"\n", "\n",
"\n", "\n",
"\"\"\"---设置题号数据---\"\"\"\n", "\"\"\"---设置题号数据---\"\"\"\n",
"problems = [\n", "problems = [\n",
"\"30033,30030,30032,30031,30029,30034,30076,30036,30037,30039,30044,30038,30040,30041,30045,30042,30048,30046,30047,30051,30043,30052,30050,30049,30053,30054,30055,30059,30058,30056,30057,30060,30061,30063,30062,30065,30067,30066,30064,30068\"\n", "\"1992,166,2001,477,557,3538,2000,165,169,2026,174,170,892,2032,2008,3510\",\n",
"\"387,2025,2003,858,3550,3514,3502,3505,3508,2088,1999,2004,2007,3517\"\n",
"]\n", "]\n",
"\"\"\"---设置题号数据结束---\"\"\"\n", "\"\"\"---设置题号数据结束---\"\"\"\n",
"\n", "\n",

18
题库0.3/Problems.json
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@ -50578,7 +50578,7 @@
}, },
"001992": { "001992": {
"id": "001992", "id": "001992",
"content": "用集合的关系符号``$\\subsetneqq$''表示复数集$\\mathbf{C}$, 实数集$\\mathbf{R}$, 有理数集$\\mathbf{Q}$,\n整数集$\\mathbf{Z}$和自然数集$\\mathbf{N}$的关系为\\blank{100}.", "content": "用集合的关系符号``$\\subset$''表示复数集$\\mathbf{C}$, 实数集$\\mathbf{R}$, 有理数集$\\mathbf{Q}$,\n整数集$\\mathbf{Z}$和自然数集$\\mathbf{N}$的关系为\\blank{100}.",
"objs": [ "objs": [
"K0511003B" "K0511003B"
], ],
@ -50759,7 +50759,7 @@
}, },
"001999": { "001999": {
"id": "001999", "id": "001999",
"content": "[选做]\n若复数$z$满足$z^{10}+z^5+1=0$, 则$z^{30}+z^{40}+z^{50}=$\\blank{50}.", "content": "若复数$z$满足$z^{10}+z^5+1=0$, 则$z^{30}+z^{40}+z^{50}=$\\blank{50}.",
"objs": [ "objs": [
"K0511005B", "K0511005B",
"K0511008B" "K0511008B"
@ -50814,7 +50814,7 @@
}, },
"002001": { "002001": {
"id": "002001", "id": "002001",
"content": "计算: $\\dfrac{1+\\mathrm{i}}{3-\\mathrm{i}}+7\\mathrm{i}$与$\\dfrac{1-\\mathrm{i}}{3+\\mathrm{i}}-7\\mathrm{i}$.", "content": "计算:\\\\\n(1) $\\dfrac{1+\\mathrm{i}}{3-\\mathrm{i}}+7\\mathrm{i}$;\\\\\n(2) $\\dfrac{1-\\mathrm{i}}{3+\\mathrm{i}}-7\\mathrm{i}$.",
"objs": [ "objs": [
"K0511005B", "K0511005B",
"K0511006B" "K0511006B"
@ -51459,7 +51459,7 @@
}, },
"002025": { "002025": {
"id": "002025", "id": "002025",
"content": "以下各命题:\\\\ \n(1) $a,b,c,d\\in \\mathbf{C}$, 若$a+b\\mathrm{i}=c+d\\mathrm{i}$, 则$a=c$且$b=d$.\\\\ \n(2) $3+\\mathrm{i}>1+\\mathrm{i}$.\\\\ \n(3) 若$z\\in\\mathbf{C}$, 则$z+\\bar{z}$一定是实数.\\\\ \n(4) 若$z\\in \\mathbf{C}$, 则$z-\\bar{z}$一定是纯虚数.\\\\ \n(5) 若$|z|=1$, 则$z=1$, $z=-1$, $z=\\mathrm{i}$或$z=-\\mathrm{i}$.\\\\ \n中, 是真命题的有\\blank{80}.", "content": "以下各命题:\\\\ \n\\textcircled{1} $a,b,c,d\\in \\mathbf{C}$, 若$a+b\\mathrm{i}=c+d\\mathrm{i}$, 则$a=c$且$b=d$.\\\\ \n\\textcircled{2} $3+\\mathrm{i}>1+\\mathrm{i}$.\\\\ \n\\textcircled{3} 若$z\\in\\mathbf{C}$, 则$z+\\bar{z}$一定是实数.\\\\ \n\\textcircled{4} 若$z\\in \\mathbf{C}$, 则$z-\\bar{z}$一定是纯虚数.\\\\ \n\\textcircled{5} 若$|z|=1$, 则$z=1$, $z=-1$, $z=\\mathrm{i}$或$z=-\\mathrm{i}$.\\\\ \n中, 是真命题的有\\blank{80}.",
"objs": [ "objs": [
"K0511004B", "K0511004B",
"K0512003B", "K0512003B",
@ -51487,7 +51487,7 @@
}, },
"002026": { "002026": {
"id": "002026", "id": "002026",
"content": "以下各命题:\\\\ \n(1) $\\sqrt{z^2}=|z|$.\\\\ \n(2) $|z|=|\\bar{z}|$.\\\\ \n(3) $|z|^2=z^2$.\\\\ \n(4) $\\overline{z_1+2\\bar{z_2}}=\\bar{z_1}+2z_2$.\\\\ \n(5) $\\overline{z_1+\\mathrm{i}\\bar{z_2}}=\\bar{z_1}+\\mathrm{i} z_2$.\\\\ \n中, 是真命题的有\\blank{80}.", "content": "以下各命题:\\\\ \n\\textcircled{1} $\\sqrt{z^2}=|z|$.\\\\ \n\\textcircled{2} $|z|=|\\bar{z}|$.\\\\ \n\\textcircled{3} $|z|^2=z^2$.\\\\ \n\\textcircled{4} $\\overline{z_1+2\\bar{z_2}}=\\bar{z_1}+2z_2$.\\\\ \n\\textcircled{5} $\\overline{z_1+\\mathrm{i}\\bar{z_2}}=\\bar{z_1}+\\mathrm{i} z_2$.\\\\ \n中, 是真命题的有\\blank{80}.",
"objs": [ "objs": [
"K0511008B", "K0511008B",
"K0512005B", "K0512005B",
@ -86602,7 +86602,7 @@
"tags": [ "tags": [
"第五单元" "第五单元"
], ],
"genre": "解答题", "genre": "填空题",
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
@ -86614,7 +86614,7 @@
"same": [], "same": [],
"related": [], "related": [],
"remark": "", "remark": "",
"space": "12ex" "space": ""
}, },
"003509": { "003509": {
"id": "003509", "id": "003509",
@ -87406,7 +87406,7 @@
}, },
"003542": { "003542": {
"id": "003542", "id": "003542",
"content": "已知关于$x$的实系数一元二次方程$ax^2+bx+c=0\\ (a\\ne 0)$在复数集中的两个根为$\\alpha,\\beta$, 下列命题中正确的有\\blank{50}.\\\\\n\\textcircled{1} $\\alpha$和$\\beta$互为共轭复数;\\\\\n\\textcircled{2} $\\alpha +\\beta =-\\dfrac ba$, $\\alpha \\beta =\\dfrac ca$;\\\\\n\\textcircled{3} $\\alpha$和$\\beta$分别为$\\dfrac{-b\\pm \\sqrt{b^2}-4ac}{2a}$;\\\\\n\\textcircled{4} $|\\alpha -\\beta|^2=(\\alpha-\\beta)^2$;\\\\\n\\textcircled{5} $ax^2+bx+c=a(x-\\alpha)(x-\\beta)$.", "content": "已知关于$x$的实系数一元二次方程$ax^2+bx+c=0\\ (a\\ne 0)$在复数集中的两个根为$\\alpha,\\beta$, 下列命题中正确的有\\blank{50}.\\\\\n\\textcircled{1} $\\alpha$和$\\beta$互为共轭复数;\\\\\n\\textcircled{2} $\\alpha +\\beta =-\\dfrac ba$, $\\alpha \\beta =\\dfrac ca$;\\\\\n\\textcircled{3} $\\alpha$和$\\beta$分别为$\\dfrac{-b\\pm \\sqrt{b^2-4ac}}{2a}$;\\\\\n\\textcircled{4} $|\\alpha -\\beta|^2=(\\alpha-\\beta)^2$;\\\\\n\\textcircled{5} $ax^2+bx+c=a(x-\\alpha)(x-\\beta)$.",
"objs": [ "objs": [
"K0515002B", "K0515002B",
"K0515003B", "K0515003B",
@ -103728,7 +103728,7 @@
}, },
"004247": { "004247": {
"id": "004247", "id": "004247",
"content": "设函数$f(x)$在$[1,+\\infty)$上有定义, 实数$a$和$b$满足$1\\le a<b$, 若$f(x)$在区间$(a,b]$上不存在最小值, 则称$f(x)$在区间$(a,b]$上具有性质$P$.\\\\\n(1) 当$f(x)=x^2+cx$, 且$f(x)$在区间$(1,2]$上具有性质$P$, 求实数$c$的取值范围;\\\\\n(2) 已知$f(x+1)=f(x)+1$($x\\ge 1$), 且当$1\\le x<2$时, $f(x)=1-x$, 判别$f(x)$在区间$(1,4]$ 上是否具有性质$P$;\\\\\n(3) 若对于满足$1\\le a<b$的任意实数$a$和$b$, $f(x)$在区间$(a,b]$上具有性质$P$, 且对于任意$n\\in \\mathbf{N}^*$, 当$x\\in (n,n+1)$时, 有$|f(n)-f(x)|+|f(x)-f(n+1)|=|f(n)-f(n+1)|$, 证明: 当$x\\ge 1$时, $f(2x)>f(x)$.", "content": "设函数$f(x)$在$[1,+\\infty)$上有定义, 实数$a$和$b$满足$1\\le a<b$, 若$f(x)$在区间$(a,b]$上不存在最小值, 则称$f(x)$在区间$(a,b]$上具有性质$P$.\\\\\n(1) 当$f(x)=x^2+cx$, 且$f(x)$在区间$(1,2]$上具有性质$P$, 求实数$c$的取值范围;\\\\\n(2) 已知$f(x+1)=f(x)+1$($x\\ge 1$), 且当$1\\le x<2$时, $f(x)=1-x$, 判别$f(x)$在区间$(1,4]$ 上是否具有性质$P$;\\\\\n(3) 若对于满足$1\\le a<b$的任意实数$a$和$b$, $f(x)$在区间$(a,b]$上具有性质$P$, 且对于任意$n\\in \\mathbf{N}$, $n\\ge 1$, 当$x\\in (n,n+1)$时, 有$|f(n)-f(x)|+|f(x)-f(n+1)|=|f(n)-f(n+1)|$, 证明: 当$x\\ge 1$时, $f(2x)>f(x)$.",
"objs": [ "objs": [
"K0215001B", "K0215001B",
"K0221001B", "K0221001B",