From c43b618059058ea05a83a17979accda194ebcbca Mon Sep 17 00:00:00 2001 From: Wang Weiye Date: Mon, 10 Oct 2022 18:26:56 +0800 Subject: [PATCH] 20221010evening --- 工具/关键字筛选题号.ipynb | 7 +- .../讲义题目分类按顺序梳理_制答题卡用.ipynb | 52 +++++------ 工具/模板文件/日常选题讲义模板.tex | 10 +-- 工具/模板文件/测验周末卷模板.tex | 10 +-- 工具/模板文件/第一轮复习讲义模板.tex | 10 +-- 工具/模板文件/课时划分.tex | 10 +-- 工具/模板文件/课时目标及单元目标.tex | 14 +-- 工具/模板文件/题目清单.tex | 10 +-- 工具/模板文件/题目编辑.tex | 10 +-- 工具/添加关联题目.ipynb | 4 +- 工具/讲义生成.ipynb | 27 +++--- 工具/题号选题pdf生成.ipynb | 11 +-- 题库0.3/Problems.json | 90 +++++++++++++++---- 13 files changed, 163 insertions(+), 102 deletions(-) diff --git a/工具/关键字筛选题号.ipynb b/工具/关键字筛选题号.ipynb index 2105d4ff..85e70d38 100644 --- a/工具/关键字筛选题号.ipynb +++ b/工具/关键字筛选题号.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -11,7 +11,7 @@ "0" ] }, - "execution_count": 1, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -21,7 +21,8 @@ "\n", "\"\"\"---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---\"\"\"\n", "keywords_dict_table = [\n", - " {\"tags\":[\"第五单元\"]}\n", + " {\"content\":[\"棱柱\",\"圆柱\",\"棱锥\",\"圆锥\",\"棱台\",\"圆台\",\"球\",\"多面体\",\"旋转体\"], \"content_not\":[\"体积\",\"表面积\",\"侧面积\"], \"tags\":[\"第五单元\"]},\n", + " {\"objs\":[\"K0615\",\"K0618\",\"K0621\",\"K0622\"]}\n", "]\n", "\"\"\"---关键字设置完毕---\"\"\"\n", "# 示例： keywords_dict_table = [\n", diff --git a/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 b/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 index 75df7a52..9bc3ef85 100644 --- a/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 +++ b/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 @@ -2,50 +2,52 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "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", + "1 解答题 1\n", + "2 解答题 1\n", + "3 解答题 1\n", + "4 解答题 1\n", + "5 填空题 2\n", + "6 解答题 2\n", + "7 填空题 10\n", "8 解答题 1\n", - "9 选择题 2\n", - "10 填空题 1\n", + "9 解答题 1\n", + "10 解答题 1\n", "11 解答题 1\n", "12 解答题 1\n", - "13 填空题 1\n", + "13 填空题 6\n", "14 解答题 1\n", - "15 解答题 2\n", + "15 填空题 1\n", "16 解答题 1\n", - "1 填空题 1\n", - "2 填空题 1\n", - "3 填空题 1\n", + "17 填空题 3\n", + "18 填空题 1\n", + "19 填空题 1\n", + "1 解答题 2\n", + "2 解答题 1\n", + "3 填空题 6\n", "4 填空题 1\n", - "5 填空题 1\n", - "6 填空题 1\n", - "7 填空题 1\n", - "8 填空题 1\n", + "5 选择题 1\n", + "6 选择题 1\n", + "7 填空题 2\n", + "8 解答题 1\n", "9 解答题 1\n", - "10 填空题 1\n", - "11 填空题 1\n", - "12 选择题 1\n", - "13 解答题 1\n", - "14 解答题 3\n" + "10 解答题 1\n", + "11 解答题 1\n", + "12 解答题 2\n", + "13 解答题 1\n" ] } ], "source": [ "import os,re\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\\18_复数的代数运算与性质.tex\"\n", + "filename = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\\20_描述空间位置关系的公理.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", "\n", diff --git a/工具/模板文件/日常选题讲义模板.tex b/工具/模板文件/日常选题讲义模板.tex index 1e38f089..45ca0db0 100644 --- a/工具/模板文件/日常选题讲义模板.tex +++ b/工具/模板文件/日常选题讲义模板.tex @@ -33,24 +33,24 @@ number=\chinese{section}, \newtheorem{prop}{性质~} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} diff --git a/工具/模板文件/测验周末卷模板.tex b/工具/模板文件/测验周末卷模板.tex index 4ec8e640..bccee5e8 100644 --- a/工具/模板文件/测验周末卷模板.tex +++ b/工具/模板文件/测验周末卷模板.tex @@ -33,24 +33,24 @@ number=\chinese{section}, \newtheorem{prop}{性质~} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} diff --git a/工具/模板文件/第一轮复习讲义模板.tex b/工具/模板文件/第一轮复习讲义模板.tex index da8883e7..5813b0eb 100644 --- a/工具/模板文件/第一轮复习讲义模板.tex +++ b/工具/模板文件/第一轮复习讲义模板.tex @@ -33,24 +33,24 @@ number=\chinese{section}, \newtheorem{prop}{性质~} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} diff --git a/工具/模板文件/课时划分.tex b/工具/模板文件/课时划分.tex index 43f0531e..a025a8e5 100644 --- a/工具/模板文件/课时划分.tex +++ b/工具/模板文件/课时划分.tex @@ -21,24 +21,24 @@ \newtheorem{prop}{性质~} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} \begin{document} diff --git a/工具/模板文件/课时目标及单元目标.tex b/工具/模板文件/课时目标及单元目标.tex index d134c7ae..37b31e8d 100644 --- a/工具/模板文件/课时目标及单元目标.tex +++ b/工具/模板文件/课时目标及单元目标.tex @@ -19,29 +19,29 @@ \renewcommand{\baselinestretch}{2} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} \begin{document} -\begin{longtable}{|p{.15\textwidth}|p{.15\textwidth}|p{.65\textwidth}|} +\begin{longtable}{|p{.15\linewidth}|p{.15\linewidth}|p{.65\linewidth}|} \hline 课时目标 & 对应单元目标 & 目标内容 \\ \hline 课时目标待替换 @@ -50,7 +50,7 @@ A.~#1 &B.~#2& C.~#3& D.~#4 \newpage -\begin{longtable}{|p{.15\textwidth}|p{.75\textwidth}|} +\begin{longtable}{|p{.15\linewidth}|p{.75\linewidth}|} \hline 单元目标 & 目标内容 \\ \hline 单元目标待替换 diff --git a/工具/模板文件/题目清单.tex b/工具/模板文件/题目清单.tex index bf1ef353..4a0f3bdd 100644 --- a/工具/模板文件/题目清单.tex +++ b/工具/模板文件/题目清单.tex @@ -21,24 +21,24 @@ \newtheorem{prop}{性质~} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} \begin{document} diff --git a/工具/模板文件/题目编辑.tex b/工具/模板文件/题目编辑.tex index 999ebc17..d6bff5df 100644 --- a/工具/模板文件/题目编辑.tex +++ b/工具/模板文件/题目编辑.tex @@ -22,24 +22,24 @@ \newtheorem{prop}{性质~} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} \begin{document} diff --git a/工具/添加关联题目.ipynb b/工具/添加关联题目.ipynb index 39c998b3..4ee73481 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 = \"3541\"\n", - "new_id = \"30110\"\n", + "old_id = \"1598\"\n", + "new_id = \"30112\"\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 9127281b..9b36b4ca 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": 5, + "execution_count": 3, "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/22_空间两平面的位置关系_预选_教师_20221009.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04_教师_20221010.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/22_空间两平面的位置关系_预选_学生_20221009.tex\n", + "开始编译学生版本pdf文件: 临时文件/周末卷04_学生_20221010.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\",\"22\"),(\"标题文字待处理\",\"空间两平面的位置关系\")] \n", - "enumi_mode = 0\n", + "# exec_list = [(\"标题数字待处理\",\"20\"),(\"标题文字待处理\",\"描述空间位置关系的公理\")] \n", + "# enumi_mode = 0\n", "\n", "#2023届测验卷与周末卷\n", - "# exec_list = [(\"标题替换\",\"测验03\")]\n", - "# enumi_mode = 1\n", + "exec_list = [(\"标题替换\",\"周末卷04\")]\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/22_空间两平面的位置关系_预选\"\n", + "destination_file = \"临时文件/周末卷04\"\n", "\"\"\"---设置目标文件名结束---\"\"\"\n", "\n", "\n", "\"\"\"---设置题号数据---\"\"\"\n", "problems = [\n", - "\"30095,1649,9163,9164,30096,30100,9698,3499,1665,303,1659,1677,30096,9701,188,30097,9702\",\n", - "\"9156,1645,1646,9158,9697,9697,1670,1704,9154,294,9700,189\"\n", + "\"1853,30108,3355,655,724,1860,2038,30106,30107,3621\",\n", + "\"1846,2013,3703\",\n", + "\"1557,4702\"\n", "]\n", "\"\"\"---设置题号数据结束---\"\"\"\n", "\n", diff --git a/工具/题号选题pdf生成.ipynb b/工具/题号选题pdf生成.ipynb index 2289d638..778544fb 100644 --- a/工具/题号选题pdf生成.ipynb +++ b/工具/题号选题pdf生成.ipynb @@ -2,16 +2,16 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "开始编译教师版本pdf文件: 临时文件/测试_教师用_20221009.tex\n", + "开始编译教师版本pdf文件: 临时文件/多面体选题_教师用_20221010.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/测试_学生用_20221009.tex\n", + "开始编译学生版本pdf文件: 临时文件/多面体选题_学生用_20221010.tex\n", "0\n" ] } @@ -26,14 +26,14 @@ "\"\"\"---设置题目列表---\"\"\"\n", "#留空为编译全题库, a为读取临时文件中的题号筛选.txt文件生成题库\n", "problems = r\"\"\"\n", - "2026\n", + "a\n", "\n", "\"\"\"\n", "\"\"\"---设置题目列表结束---\"\"\"\n", "\n", "\"\"\"---设置文件名---\"\"\"\n", "#目录和文件的分隔务必用/\n", - "filename = \"临时文件/测试\"\n", + "filename = \"临时文件/多面体选题\"\n", "\"\"\"---设置文件名结束---\"\"\"\n", "\n", "\n", @@ -90,6 +90,7 @@ "elif problems.strip()[0] == \"a\":\n", " with open(\"临时文件/题号筛选.txt\",\"r\",encoding = \"utf8\") as f:\n", " problems = f.read()\n", + " problem_list = [id for id in generate_number_set(problems.strip(),pro_dict) if id in pro_dict]\n", "else:\n", " problem_list = [id for id in generate_number_set(problems.strip(),pro_dict) if id in pro_dict]\n", "\n", diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 6c622e81..58265ff8 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -41117,7 +41117,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "030111" + ], "remark": "", "space": "" }, @@ -41151,7 +41153,7 @@ }, "001597": { "id": "001597", - "content": "指出图中正方体各线段所在直线的位置关系(相交, 平行或异面):\n\\begin{center}\n\\begin{tikzpicture}\n \\draw (0,0) node [below left] {$A$} coordinate (A) --++ (3,0) node [below right] {$B$} coordinate (B) --++ (45:{3/2}) node [right] {$C$} coordinate (C)\n --++ (0,3) node [above right] {$C'$} coordinate (C1)\n --++ (-3,0) node [above left] {$D'$} coordinate (D1) --++ (225:{3/2}) node [left] {$A'$} coordinate (A1) -- cycle;\n \\draw (A) ++ (3,3) node [right] {$B'$} coordinate (B1) -- (B) (B1) --++ (45:{3/2}) (B1) --++ (-3,0);\n \\draw [dashed] (A) --++ (45:{3/2}) node [left] {$D$} coordinate (D) --++ (3,0) (D) --++ (0,3);\n \\draw [dashed] (D1) -- (B) (A1) -- (C);\n \\draw (C) -- (B1) (A1) -- (C1);\n\\end{tikzpicture}\n\\end{center}\n\\begin{enumerate}[\\blank{50}(1)]\n\\item $AB$和$CC'$;\\\\ \n\\item $A'C$和$BD'$;\\\\ \n\\item $AA'$和$CB'$;\\\\ \n\\item $A'C'$和$CB'$;\\\\ \n\\item $A'B'$和$DC$;\\\\ \n\\item $BD'$和$DC$.\\\\ \n\\end{enumerate}", + "content": "指出图中正方体各线段所在直线的位置关系(相交, 平行或异面):\n\\begin{center}\n\\begin{tikzpicture}[scale = 0.5]\n \\draw (0,0) node [below left] {$A$} coordinate (A) --++ (3,0) node [below right] {$B$} coordinate (B) --++ (45:{3/2}) node [right] {$C$} coordinate (C)\n --++ (0,3) node [above right] {$C'$} coordinate (C1)\n --++ (-3,0) node [above left] {$D'$} coordinate (D1) --++ (225:{3/2}) node [left] {$A'$} coordinate (A1) -- cycle;\n \\draw (A) ++ (3,3) node [right] {$B'$} coordinate (B1) -- (B) (B1) --++ (45:{3/2}) (B1) --++ (-3,0);\n \\draw [dashed] (A) --++ (45:{3/2}) node [left] {$D$} coordinate (D) --++ (3,0) (D) --++ (0,3);\n \\draw [dashed] (D1) -- (B) (A1) -- (C);\n \\draw (C) -- (B1) (A1) -- (C1);\n\\end{tikzpicture}\n\\end{center}\n(1) $AB$和$CC'$\\blank{20};\n(2) $A'C$和$BD'$\\blank{20};\n(3) $AA'$和$CB'$\\blank{20};\n(4) $A'C'$和$CB'$\\blank{20};\n(5) $A'B'$和$DC$\\blank{20};\n(6) $BD'$和$DC$\\blank{20}.", "objs": [ "K0606001B" ], @@ -41199,7 +41201,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "030112" + ], "remark": "", "space": "" }, @@ -41305,7 +41309,7 @@ }, "001603": { "id": "001603", - "content": "如图, 在正方体$ABCD-A_1B_1C_1D_1$中, $E,F$分别是棱$A_1B_1$和棱$B_1C_1$的中点.\\\\ \n(1) 求异面直线$A_1D$和$BC_1$所成角的大小;\\\\ \n(2) 求异面直线$BE$和$CF$所成角的余弦值.\n\\begin{center}\n\\begin{tikzpicture}\n \\draw (0,0) node [below left] {$A$} coordinate (A) --++ (3,0) node [below right] {$B$} coordinate (B) --++ (45:{3/2}) node [right] {$C$} coordinate (C)\n --++ (0,3) node [above right] {$C_1$} coordinate (C1)\n --++ (-3,0) node [above left] {$D_1$} coordinate (D1) --++ (225:{3/2}) node [left] {$A_1$} coordinate (A1) -- cycle;\n \\draw (A) ++ (3,3) node [right] {$B_1$} coordinate (B1) -- (B) (B1) --++ (45:{3/2}) (B1) --++ (-3,0);\n \\draw [dashed] (A) --++ (45:{3/2}) node [left] {$D$} coordinate (D) --++ (3,0) (D) --++ (0,3);\n \\draw [dashed] (A1) -- (D);\n \\draw (C1) -- (B) -- ($(A1)!0.5!(B1)$) node [above] {$E$};\n \\draw (C) -- ($(C1)!0.5!(B1)$) node [above left] {$F$};\n\\end{tikzpicture}\n\\end{center}", + "content": "如图, 在正方体$ABCD-A_1B_1C_1D_1$中, $E,F$分别是棱$A_1B_1$和棱$B_1C_1$的中点.\\\\ \n(1) 求异面直线$A_1D$和$BC_1$所成角的大小;\\\\ \n(2) 求异面直线$BE$和$CF$所成角的余弦值.\n\\begin{center}\n\\begin{tikzpicture}[scale = 0.6]\n \\draw (0,0) node [below left] {$A$} coordinate (A) --++ (3,0) node [below right] {$B$} coordinate (B) --++ (45:{3/2}) node [right] {$C$} coordinate (C)\n --++ (0,3) node [above right] {$C_1$} coordinate (C1)\n --++ (-3,0) node [above left] {$D_1$} coordinate (D1) --++ (225:{3/2}) node [left] {$A_1$} coordinate (A1) -- cycle;\n \\draw (A) ++ (3,3) node [right] {$B_1$} coordinate (B1) -- (B) (B1) --++ (45:{3/2}) (B1) --++ (-3,0);\n \\draw [dashed] (A) --++ (45:{3/2}) node [left] {$D$} coordinate (D) --++ (3,0) (D) --++ (0,3);\n \\draw [dashed] (A1) -- (D);\n \\draw (C1) -- (B) -- ($(A1)!0.5!(B1)$) node [above] {$E$};\n \\draw (C) -- ($(C1)!0.5!(B1)$) node [above left] {$F$};\n\\end{tikzpicture}\n\\end{center}", "objs": [ "K0607004B" ], @@ -49108,7 +49112,7 @@ }, "001910": { "id": "001910", - "content": "已知$\\overrightarrow{a}=(1,-2),\\overrightarrow{b}=(2,3),\\overrightarrow{c}=(1,1)$, 将$\\overrightarrow{a}$表示为$\\overrightarrow{b_1}+\\overrightarrow{c_1}$的形式,\n其中$\\overrightarrow{b_1},\\overrightarrow{c_1}$分别为$\\overrightarrow{b},\\overrightarrow{c}$的单位向量, 结果为$\\overrightarrow{a}=$\\blank{30}$\\overrightarrow{b_1}+$\\blank{30}$\\overrightarrow{c_1}$.", + "content": "已知$\\overrightarrow{a}=(1,-2),\\overrightarrow{b}=(2,3),\\overrightarrow{c}=(1,1)$, 将$\\overrightarrow{a}$表示为$\\overrightarrow{b_1},\\overrightarrow{c_1}$的线性组合, 其中$\\overrightarrow{b_1},\\overrightarrow{c_1}$分别为$\\overrightarrow{b},\\overrightarrow{c}$的单位向量, 结果为$\\overrightarrow{a}=$\\blank{30}$\\overrightarrow{b_1}+$\\blank{30}$\\overrightarrow{c_1}$.", "objs": [ "K0506003B" ], @@ -86798,7 +86802,7 @@ }, "003466": { "id": "003466", - "content": "对于分别与两条异面直线都相交的两条直线, 下列结论中, 真命题有\\blank{50}(填入序号).\\\\\n(1) 一定是异面直线; (2) 不可能是平行直线; (3) 不可能是相交直线.", + "content": "对于分别与两条异面直线都相交的两条直线, 下列结论中, 真命题有\\blank{50}(填入序号).\\\\\n\\textcircled{1} 一定是异面直线; \\textcircled{2} 不可能是平行直线; \\textcircled{3} 不可能是相交直线.", "objs": [], "tags": [ "第六单元" @@ -90341,7 +90345,7 @@ }, "003621": { "id": "003621", - "content": "已知$\\overrightarrow{a_1}, \\overrightarrow{a_2}, \\overrightarrow{b_1}, \\overrightarrow{b_2},\\cdots,\\overrightarrow{b_k}\\ (k\\in \\mathbf{N}^*)$是平面内两两互不相等的向量, 满足$|\\overrightarrow{a_1}-\\overrightarrow{a_2}|=1$, 且$|\\overrightarrow{a_i}-\\overrightarrow{b_j}|\\in \\{1,2\\}$(其中$i=1,2$, $j=1,2,\\cdots,k$), 则$k$的最大值为\\blank{50}.", + "content": "已知$\\overrightarrow{a_1}, \\overrightarrow{a_2}, \\overrightarrow{b_1}, \\overrightarrow{b_2},\\cdots,\\overrightarrow{b_k}$($k\\in \\mathbf{N}$, $k\\ge 1$)是平面内两两互不相等的向量, 满足$|\\overrightarrow{a_1}-\\overrightarrow{a_2}|=1$, 且$|\\overrightarrow{a_i}-\\overrightarrow{b_j}|\\in \\{1,2\\}$(其中$i=1,2$, $j=1,2,\\cdots,k$), 则$k$的最大值为\\blank{50}.", "objs": [], "tags": [ "第五单元" @@ -92258,7 +92262,7 @@ }, "003703": { "id": "003703", - "content": "如图, 在平面内, $l_1,l_2$是两条平行直线, 它们之间的距离为$2$, 点$P$位于$l_1,l_2$的下方, 它到$l_1$的距离为$1$, 动点$N,M$分别在$l_1,l_2$上, 满足$|\\overrightarrow{PM}+\\overrightarrow{PN}|=6$, 则$\\overrightarrow{PM}\\cdot \\overrightarrow{PN}$的最大值为\\bracket{20}.\n\\fourch{$6$}{$8$}{$12$}{$15$}\n\\begin{center}\n \\begin{tikzpicture}[>=latex]\n \\draw (0,0) -- (5,0) node [right] {$l_1$} (0,2) -- (5,2) node [right] {$l_2$};\n \\draw [->] (4.5,-1) node [below right] {$P$} -- (2,0) node [below] {$N$};\n \\draw [->] (4.5,-1) -- (2.5,2) node [below] {$M$};\n \\end{tikzpicture}\n\\end{center}", + "content": "如图, 在平面内, $l_1,l_2$是两条平行直线, 它们之间的距离为$2$, 点$P$位于$l_1,l_2$的下方, 动点$N,M$分别在$l_1,l_2$上, 满足$|\\overrightarrow{PM}+\\overrightarrow{PN}|=6$, 则$\\overrightarrow{PM}\\cdot \\overrightarrow{PN}$的最大值为\\bracket{20}.\n\\fourch{$6$}{$8$}{$12$}{$15$}\n\\begin{center}\n \\begin{tikzpicture}[>=latex]\n \\draw (0,0) -- (5,0) node [right] {$l_1$} (0,2) -- (5,2) node [right] {$l_2$};\n \\draw [->] (4.5,-1) node [below right] {$P$} -- (2,0) node [below] {$N$};\n \\draw [->] (4.5,-1) -- (2.5,2) node [below] {$M$};\n \\end{tikzpicture}\n\\end{center}", "objs": [], "tags": [ "第五单元" @@ -112418,7 +112422,7 @@ }, "004539": { "id": "004539", - "content": "如图是正四面体的平面展开图, $M,N,G$分别为$DE,BE,FE$的中点, 则在这个四面体中, 异面直线$MN$与$CG$所成的角的大小为\\blank{50}.\n\\begin{center}\n \\begin{tikzpicture}[scale = 1.5]\n \\draw (0,0) node [below] {$E$} coordinate (E);\n \\draw (1,0) node [below right] {$C$} coordinate (C);\n \\draw (-1,0) node [below left] {$B$} coordinate (B);\n \\draw (0,{sqrt(3)}) node [above] {$A$} coordinate (A);\n \\draw ($(A)!0.5!(B)$) node [left] {$D$} coordinate (D);\n \\draw ($(A)!0.5!(C)$) node [right] {$F$} coordinate (F);\n \\draw ($(E)!0.5!(F)$) node [above] {$G$} coordinate (G);\n \\draw ($(D)!0.5!(E)$) node [above] {$M$} coordinate (M);\n \\draw ($(B)!0.5!(E)$) node [below] {$N$} coordinate (N);\n \\draw (A) -- (B) -- (C) -- cycle (D) -- (E) -- (F) -- cycle;\n \\draw (M) -- (N) (C) -- (G);\n \\end{tikzpicture}\n\\end{center}", + "content": "如图是正四面体的平面展开图, $M,N,G$分别为$DE,BE,FE$的中点, 则在这个四面体中, 异面直线$MN$与$CG$所成的角的大小为\\blank{50}.\n\\begin{center}\n \\begin{tikzpicture}[scale = 1]\n \\draw (0,0) node [below] {$E$} coordinate (E);\n \\draw (1,0) node [below right] {$C$} coordinate (C);\n \\draw (-1,0) node [below left] {$B$} coordinate (B);\n \\draw (0,{sqrt(3)}) node [above] {$A$} coordinate (A);\n \\draw ($(A)!0.5!(B)$) node [left] {$D$} coordinate (D);\n \\draw ($(A)!0.5!(C)$) node [right] {$F$} coordinate (F);\n \\draw ($(E)!0.5!(F)$) node [above] {$G$} coordinate (G);\n \\draw ($(D)!0.5!(E)$) node [above] {$M$} coordinate (M);\n \\draw ($(B)!0.5!(E)$) node [below] {$N$} coordinate (N);\n \\draw (A) -- (B) -- (C) -- cycle (D) -- (E) -- (F) -- cycle;\n \\draw (M) -- (N) (C) -- (G);\n \\end{tikzpicture}\n\\end{center}", "objs": [ "K0607004B" ], @@ -228608,7 +228612,7 @@ }, "009671": { "id": "009671", - "content": "如图, 在长方体$ABCD-A_1B_1C_1D_1$中,\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [below left] {$A$} coordinate (A) --++ (3,0) node [below right] {$B$} coordinate (B) --++ (45:{3/2}) node [right] {$C$} coordinate (C)\n--++ (0,2) node [above right] {$C_1$} coordinate (C1)\n--++ (-3,0) node [above left] {$D_1$} coordinate (D1) --++ (225:{3/2}) node [left] {$A_1$} coordinate (A1) -- cycle;\n\\draw (A) ++ (3,2) node [right] {$B_1$} coordinate (B1) -- (B) (B1) --++ (45:{3/2}) (B1) --++ (-3,0);\n\\draw [dashed] (A) --++ (45:{3/2}) node [left] {$D$} coordinate (D) --++ (3,0) (D) --++ (0,2);\n\\end{tikzpicture}\n\\end{center}\n(1) 设$AC$与$BD$的交点为$O$, $O$必为平面\\blank{50}与平面\\blank{50}的公共点(答案不唯一);\\\\\n(2) 画出平面$A_1BCD_1$与平面$B_1BDD_1$的交线.", + "content": "如图, 在长方体$ABCD-A_1B_1C_1D_1$中,\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 0.6]\n\\draw (0,0) node [below left] {$A$} coordinate (A) --++ (3,0) node [below right] {$B$} coordinate (B) --++ (45:{3/2}) node [right] {$C$} coordinate (C)\n--++ (0,2) node [above right] {$C_1$} coordinate (C1)\n--++ (-3,0) node [above left] {$D_1$} coordinate (D1) --++ (225:{3/2}) node [left] {$A_1$} coordinate (A1) -- cycle;\n\\draw (A) ++ (3,2) node [right] {$B_1$} coordinate (B1) -- (B) (B1) --++ (45:{3/2}) (B1) --++ (-3,0);\n\\draw [dashed] (A) --++ (45:{3/2}) node [left] {$D$} coordinate (D) --++ (3,0) (D) --++ (0,2);\n\\end{tikzpicture}\n\\end{center}\n(1) 设$AC$与$BD$的交点为$O$, $O$必为平面\\blank{50}与平面\\blank{50}的公共点(答案不唯一);\\\\\n(2) 画出平面$A_1BCD_1$与平面$B_1BDD_1$的交线.", "objs": [], "tags": [ "第六单元" @@ -228669,7 +228673,7 @@ "same": [], "related": [], "remark": "", - "space": "12ex" + "space": "0ex" }, "009674": { "id": "009674", @@ -246192,7 +246196,7 @@ }, "010454": { "id": "010454", - "content": "如图, 在四面体$ABCD$中, $AC=8$, $BD=6$, $M$、$N$分别为$AB$、$CD$的中点, 并且异面直线$AC$与$BD$所成的角为$90^\\circ$. 求$MN$的长.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [left] {$D$} coordinate (D);\n\\draw (3,0) node [right] {$B$} coordinate (B);\n\\draw (1.4,2.3) node [above] {$A$} coordinate (A);\n\\draw (2,-0.8) node [below] {$C$} coordinate (C);\n\\draw ($(B)!0.5!(C)$) node [below right] {$N$} coordinate (N);\n\\draw ($(A)!0.5!(D)$) node [above left] {$M$} coordinate (M);\n\\draw (A) -- (C) (B) -- (C) -- (D) (D) -- (A) -- (B);\n\\draw [dashed] (M) -- (N) (B) -- (D);\n\\end{tikzpicture}\n\\end{center}", + "content": "如图, 在四面体$ABCD$中, $AC=8$, $BD=6$, $M$、$N$分别为$AB$、$CD$的中点, 并且异面直线$AC$与$BD$所成的角为$90^\\circ$. 求$MN$的长.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [left] {$B$} coordinate (B);\n\\draw (3,0) node [right] {$D$} coordinate (D);\n\\draw (1.4,2.3) node [above] {$A$} coordinate (A);\n\\draw (2,-0.8) node [below] {$C$} coordinate (C);\n\\draw ($(D)!0.5!(C)$) node [below right] {$N$} coordinate (N);\n\\draw ($(A)!0.5!(B)$) node [above left] {$M$} coordinate (M);\n\\draw (A) -- (C) (B) -- (C) -- (D) (D) -- (A) -- (B);\n\\draw [dashed] (M) -- (N) (B) -- (D);\n\\end{tikzpicture}\n\\end{center}", "objs": [ "K0607001B" ], @@ -287811,7 +287815,7 @@ }, "030080": { "id": "030080", - "content": "已知三条直线$l_1$, $l_2$和$l_3$两两相交, 且不交于同一个点. 求证: 直线$l_1l_2$和$l_3$在同一个平面上.", + "content": "已知三条直线$l_1$, $l_2$和$l_3$两两相交, 且不交于同一个点. 求证: 直线$l_1$, $l_2$和$l_3$在同一个平面上.", "objs": [], "tags": [], "genre": "解答题", @@ -287826,11 +287830,11 @@ "same": [], "related": [], "remark": "", - "space": "" + "space": "12ex" }, "030081": { "id": "030081", - "content": "已知$E$、$F$分别是正方体$ABCD-A_1B_1C_1D_1$的棱$A_1B_1$、$B_1C_1$的中点. 画出由$D$、$E$、$F$确定的平面与正方体表面的交线.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\l{3}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\l) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-\\l) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,\\l,0) node [left] {$A_1$} coordinate (A1);\n\\draw (B) ++ (0,\\l,0) node [right] {$B_1$} coordinate (B1);\n\\draw (C) ++ (0,\\l,0) node [above right] {$C_1$} coordinate (C1);\n\\draw (D) ++ (0,\\l,0) node [above left] {$D_1$} coordinate (D1);\n\\draw (A1) -- (B1) -- (C1) -- (D1) -- cycle;\n\\draw (A) -- (A1) (B) -- (B1) (C) -- (C1);\n\\draw [dashed] (D) -- (D1);\n\\draw ($(A1)!0.5!(B1)$) node [above] {$E$} coordinate (E);\n\\draw ($(B1)!0.5!(C1)$) node [above] {$F$} coordinate (F);\n\\filldraw (D) circle (0.03) (E) circle (0.03) (F) circle (0.03);\n\\end{tikzpicture}\n\\end{center}", + "content": "已知$E$、$F$分别是正方体$ABCD-A_1B_1C_1D_1$的棱$A_1B_1$、$B_1C_1$的中点. 画出由$D$、$E$、$F$确定的平面与正方体表面的交线.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\l{2}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\l) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-\\l) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,\\l,0) node [left] {$A_1$} coordinate (A1);\n\\draw (B) ++ (0,\\l,0) node [right] {$B_1$} coordinate (B1);\n\\draw (C) ++ (0,\\l,0) node [above right] {$C_1$} coordinate (C1);\n\\draw (D) ++ (0,\\l,0) node [above left] {$D_1$} coordinate (D1);\n\\draw (A1) -- (B1) -- (C1) -- (D1) -- cycle;\n\\draw (A) -- (A1) (B) -- (B1) (C) -- (C1);\n\\draw [dashed] (D) -- (D1);\n\\draw ($(A1)!0.5!(B1)$) node [above] {$E$} coordinate (E);\n\\draw ($(B1)!0.5!(C1)$) node [above] {$F$} coordinate (F);\n\\filldraw (D) circle (0.03) (E) circle (0.03) (F) circle (0.03);\n\\end{tikzpicture}\n\\end{center}", "objs": [ "K0603003B", "K0603005B" @@ -287852,7 +287856,7 @@ }, "030082": { "id": "030082", - "content": "如图, 已知$E$、$F$分别是正方体$ABCD-A_1B_1C_1D_1$的棱$A_1A$、$C_1C$的中点. 求证: 四边形$BED_1F$是平行四边形.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\l{2}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\l) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-\\l) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,\\l,0) node [left] {$A_1$} coordinate (A1);\n\\draw (B) ++ (0,\\l,0) node [right] {$B_1$} coordinate (B1);\n\\draw (C) ++ (0,\\l,0) node [above right] {$C_1$} coordinate (C1);\n\\draw (D) ++ (0,\\l,0) node [above left] {$D_1$} coordinate (D1);\n\\draw (A1) -- (B1) -- (C1) -- (D1) -- cycle;\n\\draw (A) -- (A1) (B) -- (B1) (C) -- (C1);\n\\draw [dashed] (D) -- (D1);\n\\draw ($(A)!0.5!(A1)$) node [left] {$E$} coordinate (E);\n\\draw ($(C)!0.5!(C1)$) node [right] {$F$} coordinate (F);\n\\draw (E) -- (B) -- (F);\n\\draw [dashed] (E) -- (D1) -- (F);\n\\end{tikzpicture}\n\\end{center}", + "content": "如图, 已知$E$、$F$分别是正方体$ABCD-A_1B_1C_1D_1$的棱$A_1A$、$C_1C$的中点. 求证: 四边形$BED_1F$是平行四边形.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\l{1.5}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\l) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-\\l) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,\\l,0) node [left] {$A_1$} coordinate (A1);\n\\draw (B) ++ (0,\\l,0) node [right] {$B_1$} coordinate (B1);\n\\draw (C) ++ (0,\\l,0) node [above right] {$C_1$} coordinate (C1);\n\\draw (D) ++ (0,\\l,0) node [above left] {$D_1$} coordinate (D1);\n\\draw (A1) -- (B1) -- (C1) -- (D1) -- cycle;\n\\draw (A) -- (A1) (B) -- (B1) (C) -- (C1);\n\\draw [dashed] (D) -- (D1);\n\\draw ($(A)!0.5!(A1)$) node [left] {$E$} coordinate (E);\n\\draw ($(C)!0.5!(C1)$) node [right] {$F$} coordinate (F);\n\\draw (E) -- (B) -- (F);\n\\draw [dashed] (E) -- (D1) -- (F);\n\\end{tikzpicture}\n\\end{center}", "objs": [], "tags": [], "genre": "解答题", @@ -287894,7 +287898,7 @@ }, "030084": { "id": "030084", - "content": "如图, 在四面体$A-BCD$中, $E,F,G$分别为$AB,AC,AD$上的点. 若$EF\\parallel BC$, $FG\\parallel CD$, 则$\\triangle EFG$和$\\triangle BCD$有什么关系? 为什么?\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [above] {$A$} coordinate (A);\n\\draw (-0.5,-1) node [left] {$E$} coordinate (E);\n\\draw (0.5,-1) node [right] {$G$} coordinate (G);\n\\draw (0.2,-1.4) node [below left] {$F$} coordinate (F);\n\\draw ($(A)!2!(E)$) node [left] {$B$} coordinate (B);\n\\draw ($(A)!2!(F)$) node [below] {$C$} coordinate (C);\n\\draw ($(A)!2!(G)$) node [right] {$D$} coordinate (D);\n\\draw (A) -- (B) (A) -- (C) (A) -- (D) (B) -- (C) -- (D) (E) -- (F) -- (G);\n\\draw [dashed] (E) -- (G) (B) -- (D);\n\\end{tikzpicture}\n\\end{center}", + "content": "如图, 在四面体$A-BCD$中, $E,F,G$分别为$AB,AC,AD$上的点. 若$EF\\parallel BC$, $FG\\parallel CD$, 则$\\triangle EFG$和$\\triangle BCD$有什么关系? 为什么?\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 0.7]\n\\draw (0,0) node [above] {$A$} coordinate (A);\n\\draw (-0.5,-1) node [left] {$E$} coordinate (E);\n\\draw (0.5,-1) node [right] {$G$} coordinate (G);\n\\draw (0.2,-1.4) node [below left] {$F$} coordinate (F);\n\\draw ($(A)!2!(E)$) node [left] {$B$} coordinate (B);\n\\draw ($(A)!2!(F)$) node [below] {$C$} coordinate (C);\n\\draw ($(A)!2!(G)$) node [right] {$D$} coordinate (D);\n\\draw (A) -- (B) (A) -- (C) (A) -- (D) (B) -- (C) -- (D) (E) -- (F) -- (G);\n\\draw [dashed] (E) -- (G) (B) -- (D);\n\\end{tikzpicture}\n\\end{center}", "objs": [], "tags": [], "genre": "解答题", @@ -287930,7 +287934,7 @@ "same": [], "related": [], "remark": "", - "space": "" + "space": "18ex" }, "030086": { "id": "030086", @@ -288490,5 +288494,55 @@ ], "remark": "", "space": "" + }, + "030111": { + "id": "030111", + "content": "判断下列命题的真假, 在横线上用``T''或``F''表示.\\\\\n\\blank{20}(1) 空间任意三点确定一个平面;\\\\ \n\\blank{20}(2) 空间任意两条直线确定一个平面;\\\\ \n\\blank{20}(3) 空间两条平行直线确定一个平面;\\\\ \n\\blank{20}(4) 空间一条直线和不在该直线上的一个点确定一个平面;\\\\ \n\\blank{20}(5) 空间两条没有交点的直线必平行;\\\\ \n\\blank{20}(6) 若空间四边形$ABCD$若满足$AB=BC=CD=DA$, 则它一定是菱形;\\\\ \n\\blank{20}(7) 若空间的一条直线如果和一对平行直线之一相交, 则一定与另一条也相交;\\\\ \n\\blank{20}(8) 若空间三点$A,B,C$若满足$AB^2+BC^2=CA^2$, 则$\\triangle ABC$是以$B$为直角顶点的直角三角形;\\\\ \n\\blank{20}(9) 若空间三条直线两两相交, 则通过它们中至少两条的平面有且仅有$1$个;\\\\ \n\\blank{20}(10) 若空间三条直线两两相交, 则通过它们中至少两条的平面有且仅有$3$个.", + "objs": [], + "tags": [ + "第一单元", + "第六单元" + ], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2016届创新班作业\t2201-点线面与立体几何三公理-20221010修改", + "edit": [ + "20220625\t王伟叶", + "20221010\t谈荣" + ], + "same": [], + "related": [ + "001595" + ], + "remark": "", + "space": "" + }, + "030112": { + "id": "030112", + "content": "判断下列命题的真假, 在横线上用``T''或``F''表示.\\\\\n\\blank{20}(1) 已知$\\alpha$, $\\beta$是两个平面, $l,m$是两条直线, 若$l\\subset \\alpha$, $m\\subset \\beta$, 则$l,m$异面;\\\\ \n\\blank{20}(2) 已知平面$\\alpha,\\beta$相交于直线$l$. 若直线$m\\subset \\alpha$, $l \\parallel m$, 直线$n\\subset \\beta$, $l$与$n$相交, 则$m$与$n$异面;\\\\ \n\\blank{20}(3) 已知$l,m$是异面直线, 若直线$n\\parallel l$, 则$m,n$异面;\\\\ \n\\blank{20}(4) 已知$l,m$是异面直线, 若直线$n$和$l$异面, 则$m,n$异面;\\\\ \n\\blank{20}(5) 已知$l,m$是异面直线, 若直线$n$和$l$异面, 则$m,n$共面;\\\\ \n\\blank{20}(6) 正方体的任意两条对角线(对角线指连接不在同一表面上的两顶点的线段)相交.", + "objs": [], + "tags": [ + "第一单元", + "第六单元" + ], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2016届创新班作业\t2202-平行相交与异面-20221010修改", + "edit": [ + "20220625\t王伟叶", + "20221010\t谈荣" + ], + "same": [], + "related": [ + "001598" + ], + "remark": "", + "space": "" } } \ No newline at end of file