From 0eb4bcfc2040966204fa2039c758d632fe9e09a2 Mon Sep 17 00:00:00 2001 From: Wang Weiye Date: Thu, 20 Oct 2022 11:37:58 +0800 Subject: [PATCH] 20221020 noon --- 工具/寻找阶段末尾空闲题号.ipynb | 2 +- 工具/添加关联题目.ipynb | 4 +-- 工具/讲义生成.ipynb | 31 +++++++++++---------- 题库0.3/Problems.json | 48 +++++++++++++++++++++++++-------- 4 files changed, 57 insertions(+), 28 deletions(-) diff --git a/工具/寻找阶段末尾空闲题号.ipynb b/工具/寻找阶段末尾空闲题号.ipynb index 1fee40e3..1dadd6da 100644 --- a/工具/寻找阶段末尾空闲题号.ipynb +++ b/工具/寻找阶段末尾空闲题号.ipynb @@ -11,7 +11,7 @@ "text": [ "首个空闲id: 11988 , 直至 020000\n", "首个空闲id: 20227 , 直至 030000\n", - "首个空闲id: 30170 , 直至 999999\n" + "首个空闲id: 30217 , 直至 999999\n" ] } ], diff --git a/工具/添加关联题目.ipynb b/工具/添加关联题目.ipynb index e44b98f5..b02f06c7 100644 --- a/工具/添加关联题目.ipynb +++ b/工具/添加关联题目.ipynb @@ -9,8 +9,8 @@ "import os,re,json,time\n", "\n", "\"\"\"---设置原题目id与新题目id---\"\"\"\n", - "old_id = \"167\"\n", - "new_id = \"30169\"\n", + "old_id = \"173\"\n", + "new_id = \"30217\"\n", "\"\"\"---设置完毕---\"\"\"\n", "\n", "old_id = old_id.zfill(6)\n", diff --git a/工具/讲义生成.ipynb b/工具/讲义生成.ipynb index ad191652..4e49673c 100644 --- a/工具/讲义生成.ipynb +++ b/工具/讲义生成.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -13,9 +13,11 @@ "题块 1 处理完毕.\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/24_体积及表面积的计算_教师_20221018.tex\n", + "正在处理题块 3 .\n", + "题块 3 处理完毕.\n", + "开始编译教师版本pdf文件: 临时文件/周末卷05_教师_20221020.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/24_体积及表面积的计算_学生_20221018.tex\n", + "开始编译学生版本pdf文件: 临时文件/周末卷05_学生_20221020.tex\n", "0\n" ] } @@ -28,19 +30,19 @@ "\"\"\"---设置模式结束---\"\"\"\n", "\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/测验周末卷模板.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/日常选题讲义模板.tex\"\n", "\"\"\"---设置模板文件名结束---\"\"\"\n", "\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", - "exec_list = [(\"标题数字待处理\",\"24\"),(\"标题文字待处理\",\"体积及表面积的计算\")] \n", + "# exec_list = [(\"标题数字待处理\",\"24\"),(\"标题文字待处理\",\"体积及表面积的计算\")] \n", "# enumi_mode = 0\n", "\n", "#2023届测验卷与周末卷\n", - "# exec_list = [(\"标题替换\",\"线上测验01\")]\n", - "# enumi_mode = 1\n", + "exec_list = [(\"标题替换\",\"周末卷05\")]\n", + "enumi_mode = 1\n", "\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", @@ -49,14 +51,15 @@ "\"\"\"---其他预处理替换命令结束---\"\"\"\n", "\n", "\"\"\"---设置目标文件名---\"\"\"\n", - "destination_file = \"临时文件/24_体积及表面积的计算\"\n", + "destination_file = \"临时文件/周末卷05\"\n", "\"\"\"---设置目标文件名结束---\"\"\"\n", "\n", "\n", "\"\"\"---设置题号数据---\"\"\"\n", "problems = [\n", - "\"10500,3475,30160,30161,30162,30163,30164,4994,9868,10524,9210,9720,202,30165,4196\",\n", - "\"10498,4084,215,411,11332,212,10499,30166,30167,30168,10515,201,10521\"\n", + "\"30169,30217,1677,3531,3533,4092,3891,3455\",\n", + "\"1643\",\n", + "\"182,187,298,3495,4180,3500,3462\"\n", "]\n", "\"\"\"---设置题号数据结束---\"\"\"\n", "\n", @@ -207,7 +210,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 ('base')", + "display_name": "Python 3.9.7 ('base')", "language": "python", "name": "python3" }, @@ -221,12 +224,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.8" + "version": "3.9.7" }, "orig_nbformat": 4, "vscode": { "interpreter": { - "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac" + "hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba" } } }, diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 92c59f96..57a7beed 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -4490,7 +4490,9 @@ "20220624\t王伟叶, 余利成" ], "same": [], - "related": [], + "related": [ + "030217" + ], "remark": "", "space": "12ex" }, @@ -42791,7 +42793,7 @@ }, "001643": { "id": "001643", - "content": "在正方体$ABCD-A'B'C'D'$中, 已知$P,Q$分别是棱$AA'$, $CC'$的中点, 则过点$B,P,Q$的截面是\\bracket{20}.\\\\ \n\\twoch{邻边不等的平行四边形}{菱形但不是正方形}{邻边不等的矩形}{正方形}", + "content": "在正方体$ABCD-A'B'C'D'$中, 已知$P,Q$分别是棱$AA'$, $CC'$的中点, 则过点$B,P,Q$的截面是\\bracket{20}.\n\\twoch{邻边不等的平行四边形}{菱形但不是正方形}{邻边不等的矩形}{正方形}", "objs": [], "tags": [ "第六单元" @@ -42815,7 +42817,7 @@ }, "001644": { "id": "001644", - "content": "在正方体$ABCD-A'B'C'D'$中, 已知$E,F$分别是棱$BB'$, $B'C'$的中点, 则过$A,E,F$的截面是\\bracket{20}.\\\\ \n\\twoch{五边形}{平行四边形}{梯形}{六边形}", + "content": "在正方体$ABCD-A'B'C'D'$中, 已知$E,F$分别是棱$BB'$, $B'C'$的中点, 则过$A,E,F$的截面是\\bracket{20}. \n\\twoch{五边形}{平行四边形}{梯形}{六边形}", "objs": [], "tags": [ "第六单元" @@ -42915,7 +42917,7 @@ }, "001648": { "id": "001648", - "content": "有下列四个命题: (1) 分别在两个平行平面内的两条直线平行; (2) 若两个平面平行, 则其中一个平面内的直线必平行于另一个平面; (3) 如果一个平面内的两条直线平行于另一个平面, 则这两个平面平行; (4) 如果一个平面内的任何一条直线都平行于另一个平面, 则这两个平面平行.\\\\ \n其中正确命题的个数是\\bracket{20}.\\\\ \n\\fourch{1}{2}{3}{4}", + "content": "有下列四个命题: (1) 分别在两个平行平面内的两条直线平行; (2) 若两个平面平行, 则其中一个平面内的直线必平行于另一个平面; (3) 如果一个平面内的两条直线平行于另一个平面, 则这两个平面平行; (4) 如果一个平面内的任何一条直线都平行于另一个平面, 则这两个平面平行.\\\\ \n其中正确命题的个数是\\bracket{20}.\n\\fourch{1}{2}{3}{4}", "objs": [], "tags": [ "第六单元" @@ -42965,7 +42967,7 @@ }, "001650": { "id": "001650", - "content": "有下列四个命题: (1) 若直线$a\\parallel$直线$b$, 则$a$和$b$与平面$\\alpha$所成的角相等; (2) 若直线$a$和$b$与平面$\\alpha$所成的角相等, 则$a\\parallel b$; (3) 若$\\alpha\\parallel \\beta$, 则直线$a$与平面$\\alpha$, 平面$\\beta$所成的角相等; (4) 若平面$\\alpha$, 平面$\\beta$都与直线$a$平行, 则$\\alpha\\parallel \\beta$.\\\\ \n其中正确的命题是\\bracket{20}.\\\\ \n\\fourch{(1)(3)}{(1)(3)(4)}{(1)(2)(3)}{(1)(2)(3)(4)}", + "content": "有下列四个命题: (1) 若直线$a\\parallel$直线$b$, 则$a$和$b$与平面$\\alpha$所成的角相等; (2) 若直线$a$和$b$与平面$\\alpha$所成的角相等, 则$a\\parallel b$; (3) 若$\\alpha\\parallel \\beta$, 则直线$a$与平面$\\alpha$, 平面$\\beta$所成的角相等; (4) 若平面$\\alpha$, 平面$\\beta$都与直线$a$平行, 则$\\alpha\\parallel \\beta$.\\\\ \n其中正确的命题是\\bracket{20}.\n\\fourch{(1)(3)}{(1)(3)(4)}{(1)(2)(3)}{(1)(2)(3)(4)}", "objs": [], "tags": [ "第六单元" @@ -42989,7 +42991,7 @@ }, "001651": { "id": "001651", - "content": "若平面$\\alpha\\parallel$平面$\\beta$, 直线$l\\subsetneqq \\alpha$, 且$\\alpha,\\beta$间的距离为$d$, 有下列四个命题: (1) $\\beta$内有且只有一条直线与$l$的距离等于$d$; (2) $\\beta$内所有直线与$l$的距离都等于$d$; (3) $\\beta$内有无数条直线与$l$的距离等于$d$; (4) $\\beta$内所有直线与$\\alpha$的距离都等于$d$.\\\\ \n其中正确的命题是\\bracket{20}.\\\\ \n\\fourch{(1)}{(2)}{(1)(4)}{(3)(4)}", + "content": "若平面$\\alpha\\parallel$平面$\\beta$, 直线$l\\subsetneqq \\alpha$, 且$\\alpha,\\beta$间的距离为$d$, 有下列四个命题: (1) $\\beta$内有且只有一条直线与$l$的距离等于$d$; (2) $\\beta$内所有直线与$l$的距离都等于$d$; (3) $\\beta$内有无数条直线与$l$的距离等于$d$; (4) $\\beta$内所有直线与$\\alpha$的距离都等于$d$.\\\\ \n其中正确的命题是\\bracket{20}.\n\\fourch{(1)}{(2)}{(1)(4)}{(3)(4)}", "objs": [], "tags": [ "第六单元" @@ -43529,7 +43531,7 @@ }, "001673": { "id": "001673", - "content": "已知平面$\\alpha$与平面$\\beta$互相垂直, $\\alpha\\cap \\beta=l$, 点$P\\in l$, 给出以下四个结论:\\\\ \n(1) 过$P$和$l$垂直的直线在$\\alpha$内;\\\\ \n(2) 过$P$和$\\beta$垂直的直线在$\\alpha$内;\\\\ \n(3) 过$P$和$l$垂直的直线也和$\\beta$垂直;\\\\ \n(4) 过$P$和$\\beta$垂直的平面也和$l$垂直.\\\\ \n其中真命题的个数是\\bracket{20}\\\\ \n\\fourch{$1$}{$2$}{$3$}{$4$}", + "content": "已知平面$\\alpha$与平面$\\beta$互相垂直, $\\alpha\\cap \\beta=l$, 点$P\\in l$, 给出以下四个结论:\\\\ \n(1) 过$P$和$l$垂直的直线在$\\alpha$内;\\\\ \n(2) 过$P$和$\\beta$垂直的直线在$\\alpha$内;\\\\ \n(3) 过$P$和$l$垂直的直线也和$\\beta$垂直;\\\\ \n(4) 过$P$和$\\beta$垂直的平面也和$l$垂直.\\\\ \n其中真命题的个数是\\bracket{20}.\n\\fourch{$1$}{$2$}{$3$}{$4$}", "objs": [], "tags": [ "第六单元" @@ -201450,7 +201452,7 @@ }, "008331": { "id": "008331", - "content": "下列函数是奇函数的是\\bracket{20}.\\\\\n\\textcircled{1} $y=\\sin|x|$; \\textcircled{2} $y=x\\sin x$; \\textcircled{3} $y=x\\cos x$; \\textcircled{4} $y=x|\\sin x|$.\n\\fourch{\\textcircled{1}\\textcircled{2}}{\\textcircled{1}\\textcircled{3}}{\\textcircled{2}\\textcircled{4}}{\\textcircled{3}\\textcircled{4}}", + "content": "下列函数是奇函数的是\\bracket{20}.\n\\textcircled{1} $y=\\sin|x|$; \\textcircled{2} $y=x\\sin x$; \\textcircled{3} $y=x\\cos x$; \\textcircled{4} $y=x|\\sin x|$.\n\\fourch{\\textcircled{1}\\textcircled{2}}{\\textcircled{1}\\textcircled{3}}{\\textcircled{2}\\textcircled{4}}{\\textcircled{3}\\textcircled{4}}", "objs": [], "tags": [ "第三单元" @@ -263930,7 +263932,7 @@ }, "011126": { "id": "011126", - "content": "符号$[x]$表示不超过$x$的最大整数, 如$[\\pi]=3$, $[-1.08]=-2$, 定义函数$\\{x\\}=x-[x]$, 那么下列命题中正确的序号是\\bracket{20}.\\\\\n\\textcircled{1} 函数$\\{x\\}$的定义域为$\\mathbf{R}$, 值域为$[0,1]$; \\textcircled{2} 方程$\\{x\\}=\\dfrac 12$有无数解; \\textcircled{3} 函数$\\{x\\}$是周期函数; \\textcircled{4} 函数$\\{x\\}$是增函数.\n\\fourch{\\textcircled{1}\\textcircled{2}}{\\textcircled{3}\\textcircled{3}}{\\textcircled{3}\\textcircled{4}}{\\textcircled{4}\\textcircled{1}}", + "content": "符号$[x]$表示不超过$x$的最大整数, 如$[\\pi]=3$, $[-1.08]=-2$, 定义函数$\\{x\\}=x-[x]$, 那么下列命题中正确的序号是\\bracket{20}.\n\\textcircled{1} 函数$\\{x\\}$的定义域为$\\mathbf{R}$, 值域为$[0,1]$; \\textcircled{2} 方程$\\{x\\}=\\dfrac 12$有无数解; \\textcircled{3} 函数$\\{x\\}$是周期函数; \\textcircled{4} 函数$\\{x\\}$是增函数.\n\\fourch{\\textcircled{1}\\textcircled{2}}{\\textcircled{3}\\textcircled{3}}{\\textcircled{3}\\textcircled{4}}{\\textcircled{4}\\textcircled{1}}", "objs": [ "K0216006B" ], @@ -266737,7 +266739,7 @@ }, "011256": { "id": "011256", - "content": "已知函数$f(x)$($x\\in D$), 若对任意的$x\\in D$, 都存在$t\\in D$, 使$f(t)=-f(x)$成立, 称$f(x)$是``拟奇函数''. 下列函数是``拟奇函数''的个数是\\bracket{20}.\\\\\n\\textcircled{1} $f(x)=x^2$; \\textcircled{2} $f(x)=\\ln x$; \\textcircled{3} $f(x)=x+\\dfrac 1x$; \\textcircled{4} $f(x)=\\cos x$\n\\fourch{$1$个}{$2$个}{$3$个}{$4$个}", + "content": "已知函数$f(x)$($x\\in D$), 若对任意的$x\\in D$, 都存在$t\\in D$, 使$f(t)=-f(x)$成立, 称$f(x)$是``拟奇函数''. 下列函数是``拟奇函数''的个数是\\bracket{20}.\n\\textcircled{1} $f(x)=x^2$; \\textcircled{2} $f(x)=\\ln x$; \\textcircled{3} $f(x)=x+\\dfrac 1x$; \\textcircled{4} $f(x)=\\cos x$\n\\fourch{$1$个}{$2$个}{$3$个}{$4$个}", "objs": [], "tags": [ "" @@ -272790,7 +272792,7 @@ }, "011530": { "id": "011530", - "content": "在正三棱柱$ABC-A_1B_1C_1$中, $AB=AA_1=1$, 点$P$满足$\\overrightarrow{BP}=\\lambda \\overrightarrow{BC}+\\mu \\overrightarrow{BB_1}$, 其中$\\lambda \\in [0,1]$, $\\mu \\in [0,1]$, 则下列命题为真命题的个数为\\bracket{20}.\\\\\n\\textcircled{1} 当$\\lambda =1$时, $\\triangle AB_1P$的周长为定值;\\\\\n\\textcircled{2} 当$\\mu =1$时, 三棱锥$P-A_1BC$的体积为定值;\\\\\n\\textcircled{3} 当$\\lambda =\\dfrac 12$时, 有且仅有一个点$P$, 使得$A_1P\\perp BP$;\\\\\n\\textcircled{4} 当$\\mu =\\dfrac 12$时, 有且仅有一个点$P$, 使得$A_1B\\perp$平面$AB_1P$.\n\\fourch{$1$}{$2$}{$3$}{$4$}", + "content": "在正三棱柱$ABC-A_1B_1C_1$中, $AB=AA_1=1$, 点$P$满足$\\overrightarrow{BP}=\\lambda \\overrightarrow{BC}+\\mu \\overrightarrow{BB_1}$, 其中$\\lambda \\in [0,1]$, $\\mu \\in [0,1]$, 则下列命题为真命题的个数为\\bracket{20}.\n\\textcircled{1} 当$\\lambda =1$时, $\\triangle AB_1P$的周长为定值;\\\\\n\\textcircled{2} 当$\\mu =1$时, 三棱锥$P-A_1BC$的体积为定值;\\\\\n\\textcircled{3} 当$\\lambda =\\dfrac 12$时, 有且仅有一个点$P$, 使得$A_1P\\perp BP$;\\\\\n\\textcircled{4} 当$\\mu =\\dfrac 12$时, 有且仅有一个点$P$, 使得$A_1B\\perp$平面$AB_1P$.\n\\fourch{$1$}{$2$}{$3$}{$4$}", "objs": [], "tags": [ "" @@ -293674,5 +293676,29 @@ "related": [], "remark": "", "space": "12ex" + }, + "030217": { + "id": "030217", + "content": "已知复数$z_1$和复数$z_2$满足$|z_1|=3$, $|z_2|=4$, $|z_1+z_2|=5$, 则$|z_1-z_2|=$\\blank{50}.", + "objs": [], + "tags": [ + "第五单元" + ], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "教材复习题-20221020修改", + "edit": [ + "20220624\t王伟叶, 余利成", + "20221020\t刘亚东" + ], + "same": [], + "related": [ + "000173" + ], + "remark": "", + "space": "" } } \ No newline at end of file