20221020 noon
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"text": [
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"text": [
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"首个空闲id: 11988 , 直至 020000\n",
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"首个空闲id: 11988 , 直至 020000\n",
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"首个空闲id: 20227 , 直至 030000\n",
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"首个空闲id: 20227 , 直至 030000\n",
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"首个空闲id: 30170 , 直至 999999\n"
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"首个空闲id: 30217 , 直至 999999\n"
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]
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]
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}
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}
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],
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],
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@ -9,8 +9,8 @@
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"import os,re,json,time\n",
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"import os,re,json,time\n",
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"\n",
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"\n",
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"\"\"\"---设置原题目id与新题目id---\"\"\"\n",
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"\"\"\"---设置原题目id与新题目id---\"\"\"\n",
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"old_id = \"167\"\n",
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"old_id = \"173\"\n",
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"new_id = \"30169\"\n",
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"new_id = \"30217\"\n",
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"\"\"\"---设置完毕---\"\"\"\n",
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"\"\"\"---设置完毕---\"\"\"\n",
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"\n",
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"\n",
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"old_id = old_id.zfill(6)\n",
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"old_id = old_id.zfill(6)\n",
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@ -2,7 +2,7 @@
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"cells": [
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"cells": [
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{
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{
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"cell_type": "code",
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"cell_type": "code",
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"execution_count": 2,
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"execution_count": 1,
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"metadata": {},
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"metadata": {},
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"outputs": [
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"outputs": [
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{
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{
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@ -13,9 +13,11 @@
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"题块 1 处理完毕.\n",
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"题块 1 处理完毕.\n",
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"正在处理题块 2 .\n",
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"正在处理题块 2 .\n",
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"题块 2 处理完毕.\n",
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"题块 2 处理完毕.\n",
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"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",
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"正在处理题块 3 .\n",
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"题块 3 处理完毕.\n",
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"开始编译教师版本pdf文件: 临时文件/周末卷05_教师_20221020.tex\n",
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"0\n",
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"0\n",
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"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",
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"开始编译学生版本pdf文件: 临时文件/周末卷05_学生_20221020.tex\n",
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"0\n"
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"0\n"
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]
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]
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}
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}
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@ -28,19 +30,19 @@
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"\"\"\"---设置模式结束---\"\"\"\n",
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"\"\"\"---设置模式结束---\"\"\"\n",
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"\n",
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"\n",
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"\"\"\"---设置模板文件名---\"\"\"\n",
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"\"\"\"---设置模板文件名---\"\"\"\n",
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"template_file = \"模板文件/第一轮复习讲义模板.tex\"\n",
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"# template_file = \"模板文件/第一轮复习讲义模板.tex\"\n",
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"# template_file = \"模板文件/测验周末卷模板.tex\"\n",
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"template_file = \"模板文件/测验周末卷模板.tex\"\n",
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"# template_file = \"模板文件/日常选题讲义模板.tex\"\n",
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"# template_file = \"模板文件/日常选题讲义模板.tex\"\n",
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"\"\"\"---设置模板文件名结束---\"\"\"\n",
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"\"\"\"---设置模板文件名结束---\"\"\"\n",
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"\n",
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"\n",
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"\"\"\"---设置其他预处理替换命令---\"\"\"\n",
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"\"\"\"---设置其他预处理替换命令---\"\"\"\n",
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"#2023届第一轮讲义更换标题\n",
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"#2023届第一轮讲义更换标题\n",
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"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",
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"# 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",
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"# enumi_mode = 0\n",
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"# enumi_mode = 0\n",
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"\n",
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"\n",
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"#2023届测验卷与周末卷\n",
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"#2023届测验卷与周末卷\n",
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"# exec_list = [(\"标题替换\",\"线上测验01\")]\n",
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"exec_list = [(\"标题替换\",\"周末卷05\")]\n",
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"# enumi_mode = 1\n",
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"enumi_mode = 1\n",
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"\n",
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"\n",
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"#日常选题讲义\n",
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"#日常选题讲义\n",
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"# exec_list = [(\"标题文字待处理\",\"2022年国庆卷(易错题订正)\")] \n",
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"# exec_list = [(\"标题文字待处理\",\"2022年国庆卷(易错题订正)\")] \n",
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@ -49,14 +51,15 @@
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"\"\"\"---其他预处理替换命令结束---\"\"\"\n",
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"\"\"\"---其他预处理替换命令结束---\"\"\"\n",
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"\n",
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"\n",
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"\"\"\"---设置目标文件名---\"\"\"\n",
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"\"\"\"---设置目标文件名---\"\"\"\n",
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"destination_file = \"临时文件/24_体积及表面积的计算\"\n",
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"destination_file = \"临时文件/周末卷05\"\n",
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"\"\"\"---设置目标文件名结束---\"\"\"\n",
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"\"\"\"---设置目标文件名结束---\"\"\"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\"\"\"---设置题号数据---\"\"\"\n",
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"\"\"\"---设置题号数据---\"\"\"\n",
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"problems = [\n",
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"problems = [\n",
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"\"10500,3475,30160,30161,30162,30163,30164,4994,9868,10524,9210,9720,202,30165,4196\",\n",
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"\"30169,30217,1677,3531,3533,4092,3891,3455\",\n",
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"\"10498,4084,215,411,11332,212,10499,30166,30167,30168,10515,201,10521\"\n",
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"\"1643\",\n",
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"\"182,187,298,3495,4180,3500,3462\"\n",
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"]\n",
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"]\n",
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"\"\"\"---设置题号数据结束---\"\"\"\n",
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"\"\"\"---设置题号数据结束---\"\"\"\n",
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"\n",
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"\n",
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@ -207,7 +210,7 @@
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],
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],
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"metadata": {
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"metadata": {
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"kernelspec": {
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"kernelspec": {
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"display_name": "Python 3.8.8 ('base')",
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"display_name": "Python 3.9.7 ('base')",
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"language": "python",
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"language": "python",
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"name": "python3"
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"name": "python3"
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},
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},
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@ -221,12 +224,12 @@
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"name": "python",
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"name": "python",
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"nbconvert_exporter": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"pygments_lexer": "ipython3",
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"version": "3.8.8"
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"version": "3.9.7"
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},
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},
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"orig_nbformat": 4,
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"orig_nbformat": 4,
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"vscode": {
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"vscode": {
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"interpreter": {
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"interpreter": {
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"hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
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"hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba"
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}
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}
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}
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}
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},
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},
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@ -4490,7 +4490,9 @@
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"20220624\t王伟叶, 余利成"
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"20220624\t王伟叶, 余利成"
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],
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],
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"same": [],
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"same": [],
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"related": [],
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"related": [
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"030217"
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],
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"remark": "",
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"remark": "",
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"space": "12ex"
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"space": "12ex"
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},
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},
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@ -42791,7 +42793,7 @@
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},
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},
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"001643": {
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"001643": {
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"id": "001643",
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"id": "001643",
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"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}",
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"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}",
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"objs": [],
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"objs": [],
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"tags": [
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"tags": [
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"第六单元"
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"第六单元"
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@ -42815,7 +42817,7 @@
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},
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},
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"001644": {
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"001644": {
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"id": "001644",
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"id": "001644",
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"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}",
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"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}",
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"objs": [],
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"objs": [],
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"tags": [
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"tags": [
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"第六单元"
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"第六单元"
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},
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},
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"001648": {
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"001648": {
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"id": "001648",
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"id": "001648",
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"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}",
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"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}",
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"objs": [],
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"objs": [],
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"tags": [
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"tags": [
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"第六单元"
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"第六单元"
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},
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},
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"001650": {
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"001650": {
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"id": "001650",
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"id": "001650",
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"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)}",
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"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)}",
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"objs": [],
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"objs": [],
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"tags": [
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"tags": [
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"第六单元"
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"第六单元"
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},
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},
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"001651": {
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"001651": {
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"id": "001651",
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"id": "001651",
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"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)}",
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"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)}",
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"objs": [],
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"objs": [],
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"tags": [
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"tags": [
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"第六单元"
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"第六单元"
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},
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},
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"001673": {
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"001673": {
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"id": "001673",
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"id": "001673",
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"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{$1$}{$2$}{$3$}{$4$}",
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"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{$1$}{$2$}{$3$}{$4$}",
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"objs": [],
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"objs": [],
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"tags": [
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"tags": [
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"第六单元"
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"第六单元"
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},
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},
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"008331": {
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"008331": {
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"id": "008331",
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"id": "008331",
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"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}}",
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"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}}",
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"objs": [],
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"objs": [],
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"tags": [
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"tags": [
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"第三单元"
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"第三单元"
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},
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},
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"011126": {
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"011126": {
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"id": "011126",
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"id": "011126",
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"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": [
|
"objs": [
|
||||||
"K0216006B"
|
"K0216006B"
|
||||||
],
|
],
|
||||||
|
|
@ -266737,7 +266739,7 @@
|
||||||
},
|
},
|
||||||
"011256": {
|
"011256": {
|
||||||
"id": "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": [],
|
"objs": [],
|
||||||
"tags": [
|
"tags": [
|
||||||
""
|
""
|
||||||
|
|
@ -272790,7 +272792,7 @@
|
||||||
},
|
},
|
||||||
"011530": {
|
"011530": {
|
||||||
"id": "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": [],
|
"objs": [],
|
||||||
"tags": [
|
"tags": [
|
||||||
""
|
""
|
||||||
|
|
@ -293674,5 +293676,29 @@
|
||||||
"related": [],
|
"related": [],
|
||||||
"remark": "",
|
"remark": "",
|
||||||
"space": "12ex"
|
"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": ""
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
Reference in New Issue