20221111 afternoon
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 2,
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"execution_count": 3,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"1 解答题 1\n",
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"2 填空题 2\n",
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"3 解答题 2\n",
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"4 选择题 1\n",
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"5 解答题 3\n",
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"6 选择题 1\n",
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"7 解答题 3\n",
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"8 解答题 1\n",
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"9 解答题 1\n",
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"10 解答题 4\n",
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"11 解答题 1\n",
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"12 解答题 2\n",
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"13 解答题 1\n",
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"14 填空题 1\n",
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"15 选择题 1\n",
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"16 解答题 9\n",
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"17 填空题 1\n",
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"18 解答题 6\n",
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"1 解答题 2\n",
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"2 解答题 2\n",
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"3 解答题 2\n",
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"2 解答题 3\n",
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"3 解答题 3\n",
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"4 解答题 2\n",
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"5 解答题 2\n",
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"6 解答题 1\n",
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"7 解答题 1\n",
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"8 解答题 1\n",
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"9 解答题 1\n",
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"10 填空题 1\n",
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"11 解答题 2\n",
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"12 解答题 2\n",
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"13 解答题 3\n"
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"6 解答题 2\n",
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"7 解答题 2\n",
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"8 解答题 2\n",
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"1 解答题 1\n",
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"2 解答题 2\n",
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"3 解答题 2\n",
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"4 解答题 3\n",
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"5 解答题 2\n",
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"6 解答题 2\n",
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"7 选择题 1\n"
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]
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}
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],
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"source": [
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"import os,re\n",
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"#修改文件名\n",
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"filename = r\"C:\\Users\\Weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\\28_导数的概念及常用公式.tex\"\n",
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"filename = r\"C:\\Users\\wang Weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\\33_.tex\"\n",
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"# filename = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\23届\\上学期周末卷\\国庆卷.tex\"\n",
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"outputfile = \"临时文件/题目状态.txt\"\n",
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"\n",
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@ -89,7 +73,7 @@
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],
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"metadata": {
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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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"name": "python3"
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},
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@ -103,12 +87,12 @@
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"name": "python",
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"nbconvert_exporter": "python",
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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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"orig_nbformat": 4,
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"vscode": {
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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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@ -2,15 +2,15 @@
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 6,
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import os,re,json,time\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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"old_id = \"1805\"\n",
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"new_id = \"30478\"\n",
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"old_id = \"30456\"\n",
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"new_id = \"30479\"\n",
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"\"\"\"---设置完毕---\"\"\"\n",
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"\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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{
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"cell_type": "code",
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"execution_count": 2,
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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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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"正在处理题块 2 .\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/33_立体几何中的定量计算_教师_20221109.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/测验卷07_教师_20221111.tex\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/33_立体几何中的定量计算_学生_20221109.tex\n",
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"开始编译学生版本pdf文件: 临时文件/测验卷07_学生_20221111.tex\n",
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"0\n"
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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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"\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/测验周末卷模板.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/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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"\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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"exec_list = [(\"标题数字待处理\",\"33\"),(\"标题文字待处理\",\"立体几何中的定量计算\")] \n",
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"enumi_mode = 0\n",
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"# exec_list = [(\"标题数字待处理\",\"32\"),(\"标题文字待处理\",\"空间向量的概念与性质及立体几何中的证明问题\")] \n",
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"# enumi_mode = 0\n",
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"\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02\")]\n",
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"# enumi_mode = 1\n",
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"exec_list = [(\"标题替换\",\"测验07\")]\n",
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"enumi_mode = 1\n",
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"\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\",\"三角向量复数立几易错题\")] \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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"\n",
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"\"\"\"---设置目标文件名---\"\"\"\n",
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"destination_file = \"临时文件/33_立体几何中的定量计算\"\n",
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"destination_file = \"临时文件/测验卷07\"\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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"\"\"\"---设置题号数据---\"\"\"\n",
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"problems = [\n",
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"\"293,304,10721,294,30462,305,299,4096\",\n",
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"\"10730,4348,4698,30472,4243,296,30468\"\n",
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"\"11028:11029,11032:11033,11035:11039\",\n",
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"\"11040:11041,11043\",\n",
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"\"11046\"\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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@ -52403,7 +52403,7 @@
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},
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"001954": {
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"id": "001954",
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"content": "已知$\\overrightarrow{a},\\overrightarrow{b},\\overrightarrow{c}$是三个不共面的向量, 向量$\\overrightarrow{AB}=\\overrightarrow{a}$, $\\overrightarrow{AC}=\\overrightarrow{b}$, $\\overrightarrow{AD}=\\overrightarrow{c}$, 若$D$点在平面$ABC$内的射影为$P$, 且$\\overrightarrow{AP}=x\\overrightarrow{a}+y\\overrightarrow{b}$, 则$x=$\\blank{180}.(用$\\overrightarrow{a},\\overrightarrow{b},\\overrightarrow{c}$之间的内积来表示)",
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"content": "已知$\\overrightarrow{a},\\overrightarrow{b},\\overrightarrow{c}$是三个不共面的向量, 向量$\\overrightarrow{AB}=\\overrightarrow{a}$, $\\overrightarrow{AC}=\\overrightarrow{b}$, $\\overrightarrow{AD}=\\overrightarrow{c}$, 若$D$点在平面$ABC$内的射影为$P$, 且$\\overrightarrow{AP}=x\\overrightarrow{a}+y\\overrightarrow{b}$, 则$x=$\\blank{180}.(用$\\overrightarrow{a},\\overrightarrow{b},\\overrightarrow{c}$之间的数量积来表示)",
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"objs": [
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"K0625003X"
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],
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@ -52421,7 +52421,8 @@
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],
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"origin": "2016届创新班作业\t3127-空间向量的分解定理",
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"edit": [
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"20220625\t王伟叶"
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"20220625\t王伟叶",
|
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"20221111\t周双"
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],
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"same": [],
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"related": [],
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@ -260102,7 +260103,7 @@
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},
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"010715": {
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"id": "010715",
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"content": "如图, 在平行六面体$ABCD-A_1B_1C_1D_1$中, 设$\\overrightarrow{D_1A}=\\overrightarrow a$, $\\overrightarrow{D_1B_1}=\\overrightarrow b$, $\\overrightarrow{D_1C}=\\overrightarrow c$. 试用$\\overrightarrow a$、$\\overrightarrow b$、$\\overrightarrow c$表示$\\overrightarrow{D_1B}$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [below left] {$A$} coordinate (A) --++ (2,0) node [below right] {$B$} coordinate (B) --++ (45:{2/2}) node [right] {$C$} coordinate (C)\n--++ (0.2,1.5) node [above right] {$C_1$} coordinate (C1)\n--++ (-2,0) node [above left] {$D_1$} coordinate (D1) --++ (225:{2/2}) node [left] {$A_1$} coordinate (A1) -- cycle;\n\\draw (A) ++ (2.2,1.5) node [right] {$B_1$} coordinate (B1) -- (B) (B1) --++ (45:{2/2}) (B1) --++ (-2,0);\n\\draw [dashed] (A) --++ (45:{2/2}) node [left] {$D$} coordinate (D) --++ (2,0) (D) --++ (0.2,1.5);\n\\draw [dashed] (D1) -- (A) (D1) -- (B) (D1) -- (C) (D1) -- (B1);\n\\end{tikzpicture}\n\\end{center}",
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"content": "如图, 在平行六面体$ABCD-A_1B_1C_1D_1$中, 设$\\overrightarrow{D_1A}=\\overrightarrow a$, $\\overrightarrow{D_1B_1}=\\overrightarrow b$, $\\overrightarrow{D_1C}=\\overrightarrow c$. 试用$\\overrightarrow a$、$\\overrightarrow b$、$\\overrightarrow c$表示$\\overrightarrow{D_1B}$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [below left] {$A$} coordinate (A) --++ (2,0) node [below right] {$B$} coordinate (B) --++ (45:{2/2}) node [right] {$C$} coordinate (C)\n--++ (0.2,1.5) node [above right] {$C_1$} coordinate (C1)\n--++ (-2,0) node [above left] {$D_1$} coordinate (D1) --++ (225:{2/2}) node [left] {$A_1$} coordinate (A1) -- cycle;\n\\draw (A) ++ (2.2,1.5) node [right] {$B_1$} coordinate (B1) -- (B) (B1) --++ (45:{2/2}) (B1) --++ (-2,0) (D1) -- (B1);\n\\draw [dashed] (A) --++ (45:{2/2}) node [left] {$D$} coordinate (D) --++ (2,0) (D) --++ (0.2,1.5);\n\\draw [dashed] (D1) -- (A) (D1) -- (B) (D1) -- (C);\n\\end{tikzpicture}\n\\end{center}",
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"objs": [
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"K0624003X"
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],
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@ -260117,7 +260118,8 @@
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"usages": [],
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"origin": "新教材选择性必修第一册习题",
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"edit": [
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"20220806\t王伟叶"
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"20220806\t王伟叶",
|
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"20221111\t周双"
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],
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||||
"same": [],
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"related": [],
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@ -260537,7 +260539,7 @@
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},
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"010733": {
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"id": "010733",
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"content": "如图, 已知正三棱柱$ABC-A_1B_1C_1$的各条棱长均为$a$, $D$是棱$CC_1$的中点. 求证: 平面$AB_1D\\perp$平面$ABB_1A_1$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 1.3]\n\\draw (0,0,0) node [left] {$A$} coordinate (A);\n\\draw (1,0,{sqrt(3)}) node [below] {$B$} coordinate (B);\n\\draw (2,0,0) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,2,0) node [left] {$A_1$} coordinate (A1);\n\\draw (B) ++ (0,2,0) node [above] {$B_1$} coordinate (B1);\n\\draw (C) ++ (0,2,0) node [right] {$C_1$} coordinate (C1);\n\\draw (B) -- (B1) -- (A1) (B1) -- (C1);\n\\draw (A) -- (B1) -- ($(C)!0.5!(C1)$) node [right] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C) -- (C1) -- (A1) -- cycle;\n\\draw [dashed] (A) -- (D) (A) -- (C);\n\\end{tikzpicture}\n\\end{center}",
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"content": "如图, 已知正三棱柱$ABC-A_1B_1C_1$的各条棱长均为$a$, $D$是棱$CC_1$的中点. 用向量法证明: 平面$AB_1D\\perp$平面$ABB_1A_1$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 1.3]\n\\draw (0,0,0) node [left] {$A$} coordinate (A);\n\\draw (1,0,{sqrt(3)}) node [below] {$B$} coordinate (B);\n\\draw (2,0,0) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,2,0) node [left] {$A_1$} coordinate (A1);\n\\draw (B) ++ (0,2,0) node [above] {$B_1$} coordinate (B1);\n\\draw (C) ++ (0,2,0) node [right] {$C_1$} coordinate (C1);\n\\draw (B) -- (B1) -- (A1) (B1) -- (C1);\n\\draw (A) -- (B1) -- ($(C)!0.5!(C1)$) node [right] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C) -- (C1) -- (A1) -- cycle;\n\\draw [dashed] (A) -- (D) (A) -- (C);\n\\end{tikzpicture}\n\\end{center}",
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"objs": [
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"K0628005X"
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],
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@ -260552,7 +260554,8 @@
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"usages": [],
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||||
"origin": "新教材选择性必修第一册习题",
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"edit": [
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"20220806\t王伟叶"
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"20220806\t王伟叶",
|
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"20221111\t周双"
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],
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"same": [],
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"related": [],
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@ -267800,7 +267803,7 @@
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},
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"011036": {
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"id": "011036",
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"content": "若偶函数$y=f(x)$($x\\in \\mathbf{R}$)满足$f(x+2)=f(x-2)$, 当$x\\in [-2,0]$时, $f(x)=(\\dfrac 12)^x-1$, 若$g(x)=f(x)-\\log_a(x+2)$($a>1$)在区间$(-2,6]$上恰有$3$个不同的零点, 则实数$a$的取值范是\\blank{50}",
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"content": "若偶函数$y=f(x)$($x\\in \\mathbf{R}$)满足$f(x+2)=f(x-2)$, 当$x\\in [-2,0]$时, $f(x)=(\\dfrac 12)^x-1$, 若$g(x)=f(x)-\\log_a(x+2)$($a>1$)在区间$(-2,6]$上恰有$3$个不同的零点, 则实数$a$的取值范围是\\blank{50}",
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"objs": [],
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"tags": [
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"第二单元"
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@ -267812,7 +267815,8 @@
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"usages": [],
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||||
"origin": "2022届高三上学期周末卷9试题9",
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"edit": [
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"20220817\t王伟叶"
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"20220817\t王伟叶",
|
||||
"20221111\t王伟叶"
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||||
],
|
||||
"same": [],
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"related": [],
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@ -267906,7 +267910,7 @@
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},
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"011041": {
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"id": "011041",
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"content": "若$f(x)$是$\\mathbf{R}$上的奇函数, 且$f(x)$在$[0,+\\infty)$上单调递增, 则下列结论:\\\\\n\\textcircled{1} $y=|f(x)|$是偶函数;\\\\\n\\textcircled{2} 对任意$x\\in \\mathbf{R}$都有$f(-x)+|f(x)|=0$;\\\\\n\\textcircled{3} $y=f(x)f(-x)$在$(-\\infty ,0]$上单调递增;\\\\\n\\textcircled{4} 反函数$y=f^{-1}(x)$存在且在$(-\\infty ,0]$上单调递增.\\\\\n其中正确结论的个数为\\bracket{20}.\n\\fourch{$1$}{$2$}{$3$}{$4$}",
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"content": "若$f(x)$是$\\mathbf{R}$上的奇函数, 且$f(x)$在$[0,+\\infty)$上严格递增, 则下列结论:\\\\\n\\textcircled{1} $y=|f(x)|$是偶函数;\\\\\n\\textcircled{2} 对任意$x\\in \\mathbf{R}$都有$f(-x)+|f(x)|=0$;\\\\\n\\textcircled{3} $y=f(x)f(-x)$在$(-\\infty ,0]$上严格递增;\\\\\n\\textcircled{4} 反函数$y=f^{-1}(x)$存在且在$(-\\infty ,0]$上严格递增.\\\\\n其中正确结论的个数为\\bracket{20}.\n\\fourch{$1$}{$2$}{$3$}{$4$}",
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"objs": [],
|
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"tags": [
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"第二单元"
|
||||
|
|
@ -267918,7 +267922,8 @@
|
|||
"usages": [],
|
||||
"origin": "2022届高三上学期周末卷9试题14",
|
||||
"edit": [
|
||||
"20220817\t王伟叶"
|
||||
"20220817\t王伟叶",
|
||||
"20221111\t王伟叶"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
|
|
@ -308257,7 +308262,9 @@
|
|||
"20221104\t王伟叶"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"related": [
|
||||
"030479"
|
||||
],
|
||||
"remark": "",
|
||||
"space": "12ex"
|
||||
},
|
||||
|
|
@ -308813,5 +308820,33 @@
|
|||
],
|
||||
"remark": "",
|
||||
"space": "12ex"
|
||||
},
|
||||
"030479": {
|
||||
"id": "030479",
|
||||
"content": "以正方体$ABCD-A_1B_1C_1D_1$的对角线的交点为坐标原点$O$建立空间直角坐标系$O-xyz$, 其中$A(1,\\sqrt{2},0)$, $B(-1,\\sqrt{2},0)$, 求点$A_1$的坐标.",
|
||||
"objs": [
|
||||
"K0624003X",
|
||||
"K0627005X"
|
||||
],
|
||||
"tags": [
|
||||
"第六单元",
|
||||
"空间向量"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "高中数学教与学例题与习题-20221111修改",
|
||||
"edit": [
|
||||
"20221104\t王伟叶",
|
||||
"20221111\t"
|
||||
],
|
||||
"same": [],
|
||||
"related": [
|
||||
"030456"
|
||||
],
|
||||
"remark": "",
|
||||
"space": "12ex"
|
||||
}
|
||||
}
|
||||
Reference in New Issue