diff --git a/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb b/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb index dd3ff2ef..7e949403 100644 --- a/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb +++ b/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 9, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -74,11 +74,18 @@ "zf.close()\n", "\n" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 ('base')", + "display_name": "Python 3.9.7 ('base')", "language": "python", "name": "python3" }, @@ -92,12 +99,12 @@ "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/工具/批量添加题库字段数据.ipynb b/工具/批量添加题库字段数据.ipynb index 95216e46..af83dcb6 100644 --- a/工具/批量添加题库字段数据.ipynb +++ b/工具/批量添加题库字段数据.ipynb @@ -2,497 +2,128 @@ "cells": [ { "cell_type": "code", - "execution_count": 14, + "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "题号: 000334 , 字段: objs 中已添加数据: K0708003X\n", - "题号: 000513 , 字段: objs 中已添加数据: K0701001X\n", - "题号: 000513 , 字段: objs 中已添加数据: K0701003X\n", - "题号: 000522 , 字段: objs 中已添加数据: K0708001X\n", - "题号: 000530 , 字段: objs 中已添加数据: K0705001X\n", - "题号: 000530 , 字段: objs 中已添加数据: K0701001X\n", - "题号: 000643 , 字段: objs 中已添加数据: K0705002X\n", - "题号: 000643 , 字段: objs 中已添加数据: K0704003X\n", - "题号: 000747 , 字段: objs 中已添加数据: K0706002X\n", - "题号: 000775 , 字段: objs 中已添加数据: K0706002X\n", - "题号: 000775 , 字段: objs 中已添加数据: K0706001X\n", - "题号: 000880 , 字段: objs 中已添加数据: KNONE\n", - "题号: 000946 , 字段: objs 中已添加数据: K0707004X\n", - "题号: 000960 , 字段: objs 中已添加数据: K0701001X\n", - "题号: 002107 , 字段: objs 中已添加数据: K0708003X\n", - "题号: 002125 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002126 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002127 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002128 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002129 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002130 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002131 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002132 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002133 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002134 , 字段: objs 中已添加数据: K0702003X\n", - "题号: 002136 , 字段: objs 中已添加数据: K0705002X\n", - "题号: 002137 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002138 , 字段: objs 中已添加数据: K0705002X\n", - "题号: 002139 , 字段: objs 中已添加数据: K0705001X\n", - "题号: 002140 , 字段: objs 中已添加数据: K0705001X\n", - "题号: 002141 , 字段: objs 中已添加数据: K0705001X\n", - "题号: 002142 , 字段: objs 中已添加数据: K0705003X\n", - "题号: 002143 , 字段: objs 中已添加数据: K0705003X\n", - "题号: 002144 , 字段: objs 中已添加数据: K0705003X\n", - "题号: 002145 , 字段: objs 中已添加数据: K0705003X\n", - "题号: 002145 , 字段: objs 中已添加数据: K0706001X\n", - "题号: 002146 , 字段: objs 中已添加数据: K0705003X\n", - "题号: 002147 , 字段: objs 中已添加数据: K0702003X\n", - "题号: 002148 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002149 , 字段: objs 中已添加数据: K0703002X\n", - "题号: 002149 , 字段: objs 中已添加数据: K0702005X\n", - "题号: 002150 , 字段: objs 中已添加数据: K0703002X\n", - "题号: 002150 , 字段: objs 中已添加数据: K0702001X\n", - "题号: 002151 , 字段: objs 中已添加数据: K0702003X\n", - "题号: 002152 , 字段: objs 中已添加数据: K0702001X\n", - "题号: 002152 , 字段: objs 中已添加数据: K0702005X\n", - "题号: 002155 , 字段: objs 中已添加数据: K0702003X\n", - "题号: 002156 , 字段: objs 中已添加数据: K0703002X\n", - "题号: 002156 , 字段: objs 中已添加数据: K0705003X\n", - "题号: 002156 , 字段: objs 中已添加数据: K0706001X\n", - "题号: 002156 , 字段: objs 中已添加数据: K0702003X\n", - "题号: 002157 , 字段: objs 中已添加数据: K0703002X\n", - "题号: 002158 , 字段: objs 中已添加数据: K0703002X\n", - "题号: 002159 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002160 , 字段: objs 中已添加数据: K0701004X\n", - "题号: 002161 , 字段: objs 中已添加数据: K0701004X\n", - "题号: 002161 , 字段: objs 中已添加数据: K0701002X\n", - "题号: 002162 , 字段: objs 中已添加数据: K0701001X\n", - "题号: 002162 , 字段: objs 中已添加数据: K0701002X\n", - "题号: 002163 , 字段: objs 中已添加数据: K0701001X\n", - "题号: 002163 , 字段: objs 中已添加数据: K0701002X\n", - "题号: 002163 , 字段: objs 中已添加数据: K0701004X\n", - "题号: 002164 , 字段: objs 中已添加数据: K0701003X\n", - "题号: 002164 , 字段: objs 中已添加数据: K0701002X\n", - "题号: 002164 , 字段: objs 中已添加数据: K0702003X\n", - "题号: 002165 , 字段: objs 中已添加数据: K0702004X\n", - "题号: 002165 , 字段: objs 中已添加数据: K0701002X\n", - "题号: 002166 , 字段: objs 中已添加数据: K0701001X\n", - "题号: 002166 , 字段: objs 中已添加数据: K0701002X\n", - "题号: 002167 , 字段: objs 中已添加数据: K0701003X\n", - "题号: 002167 , 字段: objs 中已添加数据: K0701002X\n", - "题号: 002168 , 字段: objs 中已添加数据: K0701001X\n", - "题号: 002168 , 字段: objs 中已添加数据: K0701003X\n", - "题号: 002169 , 字段: objs 中已添加数据: K0701003X\n", - "题号: 002169 , 字段: objs 中已添加数据: K0701002X\n", - "题号: 002170 , 字段: objs 中已添加数据: K0701001X\n", - "题号: 002170 , 字段: objs 中已添加数据: K0701002X\n", - "题号: 002171 , 字段: objs 中已添加数据: K0702003X\n", - "题号: 002172 , 字段: objs 中已添加数据: K0704003X\n", - "题号: 002173 , 字段: objs 中已添加数据: K0704003X\n", - "题号: 002173 , 字段: objs 中已添加数据: K0701002X\n", - "题号: 002174 , 字段: objs 中已添加数据: K0704003X\n", - "题号: 002174 , 字段: objs 中已添加数据: K0701002X\n", - "题号: 002175 , 字段: objs 中已添加数据: K0706003X\n", - "题号: 002175 , 字段: objs 中已添加数据: K0705003X\n", - "题号: 002176 , 字段: objs 中已添加数据: K0707001X\n", - "题号: 002176 , 字段: objs 中已添加数据: K0705003X\n", - "题号: 002177 , 字段: objs 中已添加数据: K0705003X\n", - "题号: 002178 , 字段: objs 中已添加数据: K0702003X\n", - "题号: 002179 , 字段: objs 中已添加数据: K0703002X\n", - "题号: 002180 , 字段: objs 中已添加数据: K0706001X\n", - "题号: 002180 , 字段: objs 中已添加数据: K0701004X\n", - "题号: 002180 , 字段: objs 中已添加数据: K0702003X\n", - "题号: 002182 , 字段: objs 中已添加数据: KNONE\n", - "题号: 002183 , 字段: objs 中已添加数据: K0708003X\n", - "题号: 002184 , 字段: objs 中已添加数据: K0702003X\n", - "题号: 002185 , 字段: objs 中已添加数据: K0706002X\n", - "题号: 002186 , 字段: objs 中已添加数据: K0706001X\n", - "题号: 002186 , 字段: objs 中已添加数据: K0707001X\n", - "题号: 002186 , 字段: objs 中已添加数据: K0705003X\n", - "题号: 002187 , 字段: objs 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"\n", + "32_空间向量的概念与性质及立体几何中的证明问题.tex\n", + "课前练习\n", + "(009860)\n", + "(001966)\n", + "(001969)\n", + "(010715)\n", + "(001956)\n", + "(030464)\n", + "(030457)\n", + "(010733)\n", + "(001949)\n", + "(001957)\n", + "(010714)\n", + "(001958)\n", + "课后练习\n", + "(001965)\n", + "(003679)\n", + "(030470)\n", + "(030454)\n", + "(009858)\n", + "(001980)\n", + "(001968)\n", + "(001976)\n", + "(001954)\n", + "(030479)\n", + "\n", + "\n", + "\n", + "33_立体几何中的定量计算.tex\n", + "课前练习\n", + "(000293)\n", + "(000304)\n", + "(010721)\n", + "(000294)\n", + "(030462)\n", + "(000305)\n", + "(000299)\n", + "(004096)\n", + "课后练习\n", + "(010730)\n", + "(004348)\n", + "(004698)\n", + "(030472)\n", + "(004243)\n", + "(000296)\n", + "(030468)\n", + "\n", + "\n", + "\n", + "example.tex\n", + "课前练习\n", + "课后练习\n", "\n", "\n", "\n" @@ -41,7 +1158,7 @@ "source": [ "import os,re\n", "\"---此处输入文件夹名---\"\n", - "directory = r\"C:\\Users\\wang weiye\\Documents\\wwy sync\\23届\\易错题\"\n", + "directory = r\"C:\\Users\\wang weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\"\n", "\"---文件夹名输入结束---\"\n", "\n", "filelist = [filename for filename in os.listdir(directory) if \".tex\" in filename]\n", diff --git a/工具/讲义生成.ipynb b/工具/讲义生成.ipynb index f1ae0ff9..d6372089 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": 1, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -15,9 +15,9 @@ "题块 2 处理完毕.\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/基础考_教师_20221112.tex\n", + "开始编译教师版本pdf文件: 临时文件/周末卷09_教师_20221115.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/基础考_学生_20221112.tex\n", + "开始编译学生版本pdf文件: 临时文件/周末卷09_学生_20221115.tex\n", "0\n" ] } @@ -51,15 +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/基础考\"\n", + "destination_file = \"临时文件/周末卷09\"\n", "\"\"\"---设置目标文件名结束---\"\"\"\n", "\n", "\n", "\"\"\"---设置题号数据---\"\"\"\n", "problems = [\n", - "\"12033:12044\",\n", - "\"12045:12048\",\n", - "\"12049:12053\"\n", + "\"11049:11060\",\n", + "\"11061:11064\",\n", + "\"11065:11069\"\n", "\n", "]\n", "\"\"\"---设置题号数据结束---\"\"\"\n", diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index f0c6373b..46477395 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -8085,7 +8085,16 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t0.913", + "20221115\t2023届高三03班\t0.913", + "20221115\t2023届高三06班\t0.162", + "20221115\t2023届高三12班\t0.950", + "20221115\t2023届高三02班\t0.800", + "20221115\t2023届高三05班\t1.000", + "20221115\t2023届高三08班\t0.828", + "20221115\t2023届高三09班\t0.800" + ], "origin": "教材复习题", "edit": [ "20220624\t王伟叶, 余利成" @@ -8308,7 +8317,16 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t0.391", + "20221115\t2023届高三03班\t0.739", + "20221115\t2023届高三06班\t0.649", + "20221115\t2023届高三12班\t0.600", + "20221115\t2023届高三02班\t0.633", + "20221115\t2023届高三05班\t0.806", + "20221115\t2023届高三08班\t0.724", + "20221115\t2023届高三09班\t0.480" + ], "origin": "教材复习题", "edit": [ "20220624\t王伟叶, 余利成" @@ -46555,7 +46573,15 @@ "duration": -1, "usages": [ "2016届11班\t0.949", - "2016届12班\t1.000" + "2016届12班\t1.000", + "20221115\t2023届高三11班\t0.913\t0.870", + "20221115\t2023届高三03班\t0.913\t0.913", + "20221115\t2023届高三06班\t0.973\t0.919", + "20221115\t2023届高三12班\t0.950\t0.850", + "20221115\t2023届高三02班\t1.000\t0.967", + "20221115\t2023届高三05班\t0.972\t0.917", + "20221115\t2023届高三08班\t0.966\t0.931", + "20221115\t2023届高三09班\t1.000\t1.000" ], "origin": "2016届创新班作业\t3102-等差数列及其通项", "edit": [ @@ -47043,7 +47069,15 @@ "duration": -1, "usages": [ "2016届11班\t1.000", - "2016届12班\t0.947" + "2016届12班\t0.947", + "20221115\t2023届高三11班\t0.957", + "20221115\t2023届高三03班\t0.957", + "20221115\t2023届高三06班\t0.973", + "20221115\t2023届高三12班\t0.950", + "20221115\t2023届高三02班\t0.933", + "20221115\t2023届高三05班\t0.944", + "20221115\t2023届高三08班\t0.897", + "20221115\t2023届高三09班\t0.960" ], "origin": 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"20221115\t2023届高三06班\t0.784", + "20221115\t2023届高三12班\t0.850", + "20221115\t2023届高三02班\t0.833", + "20221115\t2023届高三05班\t0.944", + "20221115\t2023届高三08班\t1.000", + "20221115\t2023届高三09班\t0.760" ], "origin": "2016届创新班作业\t3106-特殊数列部分和的典型求法[1]", "edit": [ @@ -48970,7 +49044,15 @@ "duration": -1, "usages": [ "2016届11班\t1.000\t0.641", - "2016届12班\t1.000\t0.811" + "2016届12班\t1.000\t0.811", + "20221115\t2023届高三11班\t0.870\t0.000", + "20221115\t2023届高三03班\t0.913\t0.348", + "20221115\t2023届高三06班\t0.919\t0.757", + "20221115\t2023届高三12班\t0.850\t0.350", + "20221115\t2023届高三02班\t1.000\t0.400", + "20221115\t2023届高三05班\t0.972\t0.556", + "20221115\t2023届高三08班\t0.828\t0.138", + "20221115\t2023届高三09班\t1.000\t0.160" ], "origin": "2016届创新班作业\t3114-无穷递缩等比数列的和与循环小数", "edit": [ @@ -84550,7 +84632,16 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t0.174", + "20221115\t2023届高三03班\t0.304", + "20221115\t2023届高三06班\t0.081", + "20221115\t2023届高三12班\t0.100", + "20221115\t2023届高三02班\t0.200", + "20221115\t2023届高三05班\t0.417", + "20221115\t2023届高三08班\t0.241", + "20221115\t2023届高三09班\t0.120" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -84763,7 +84854,16 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t1.000", + "20221115\t2023届高三03班\t1.000", + "20221115\t2023届高三06班\t1.000", + "20221115\t2023届高三12班\t1.000", + "20221115\t2023届高三02班\t0.967", + "20221115\t2023届高三05班\t0.972", + "20221115\t2023届高三08班\t1.000", + "20221115\t2023届高三09班\t0.920" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -85067,7 +85167,16 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t0.913", + "20221115\t2023届高三03班\t0.957", + "20221115\t2023届高三06班\t0.919", + "20221115\t2023届高三12班\t0.950", + "20221115\t2023届高三02班\t1.000", + "20221115\t2023届高三05班\t0.917", + "20221115\t2023届高三08班\t0.897", + "20221115\t2023届高三09班\t0.840" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -85184,7 +85293,16 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t0.913", + "20221115\t2023届高三03班\t0.913", + "20221115\t2023届高三06班\t0.811", + "20221115\t2023届高三12班\t0.950", + "20221115\t2023届高三02班\t0.900", + "20221115\t2023届高三05班\t0.917", + "20221115\t2023届高三08班\t0.897", + "20221115\t2023届高三09班\t0.920" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -85207,7 +85325,16 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t0.913\t0.913", + "20221115\t2023届高三03班\t1.000\t1.000", + "20221115\t2023届高三06班\t0.946\t0.946", + "20221115\t2023届高三12班\t1.000\t0.950", + "20221115\t2023届高三02班\t1.000\t1.000", + "20221115\t2023届高三05班\t1.000\t1.000", + "20221115\t2023届高三08班\t1.000\t1.000", + "20221115\t2023届高三09班\t1.000\t1.000" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -85416,7 +85543,16 @@ "ans": "D", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t0.826", + "20221115\t2023届高三03班\t0.870", + "20221115\t2023届高三06班\t0.838", + "20221115\t2023届高三12班\t0.800", + "20221115\t2023届高三02班\t0.700", + "20221115\t2023届高三05班\t0.889", + "20221115\t2023届高三08班\t0.897", + "20221115\t2023届高三09班\t0.840" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶", @@ -115730,7 +115866,7 @@ }, "004472": { "id": "004472", - "content": "数列$\\{a_n\\}$的通项公式是$a_n=(\\dfrac 23)^n$, $n\\in \\mathbf{N}^*$, 则数列$\\{a_n\\}$所有项的和为\\blank{50}.", + "content": "无穷数列$\\{a_n\\}$的通项公式是$a_n=(\\dfrac 23)^n$, $n\\in \\mathbf{N}$, $n\\ge 1$ 则数列$\\{a_n\\}$所有项的和为\\blank{50}.", "objs": [ "K0405003X" ], @@ -115881,7 +116017,7 @@ }, "004478": { "id": "004478", - "content": "如果一个数列由有限个连续的正整数组成(数列的项数大于$2$), 且所有项之和为$N$, 那么称该数列为$N$型标准数列, 例如, 数列$2, 3, 4, 5, 6$为$20$型标准数列, 则$2668$型标准数列的个数为\\blank{50}.", + "content": "如果一个递增数列由有限个连续的正整数组成(数列的项数大于$2$), 且所有项之和为$N$, 那么称该数列为$N$型标准数列, 例如, 数列$2, 3, 4, 5, 6$为$20$型标准数列, 则$2668$型标准数列的个数为\\blank{50}.", "objs": [], "tags": [ "第八单元" @@ -170465,7 +170601,16 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t0.348", + "20221115\t2023届高三03班\t0.522", + "20221115\t2023届高三06班\t0.324", + "20221115\t2023届高三12班\t0.750", + "20221115\t2023届高三02班\t0.533", + "20221115\t2023届高三05班\t0.583", + "20221115\t2023届高三08班\t0.379", + "20221115\t2023届高三09班\t0.800" + ], "origin": "代数精编第七章数列", "edit": [ "20220720\t王伟叶" @@ -172784,7 +172929,16 @@ "ans": "C", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t0.826", + "20221115\t2023届高三03班\t1.000", + "20221115\t2023届高三06班\t0.919", + "20221115\t2023届高三12班\t1.000", + "20221115\t2023届高三02班\t0.933", + "20221115\t2023届高三05班\t1.000", + "20221115\t2023届高三08班\t0.966", + "20221115\t2023届高三09班\t0.920" + ], "origin": "代数精编第七章数列", "edit": [ "20220720\t王伟叶", @@ -207501,7 +207655,16 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t0.870", + "20221115\t2023届高三03班\t0.783", + "20221115\t2023届高三06班\t0.973", + "20221115\t2023届高三12班\t0.850", + "20221115\t2023届高三02班\t0.967", + "20221115\t2023届高三05班\t0.889", + "20221115\t2023届高三08班\t0.862", + "20221115\t2023届高三09班\t1.000" + ], "origin": "二期课改练习册高二第一学期", "edit": [ "20220726\t王伟叶" @@ -208440,7 +208603,16 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t0.217", + "20221115\t2023届高三03班\t0.565", + "20221115\t2023届高三06班\t0.540", + "20221115\t2023届高三12班\t0.750", + "20221115\t2023届高三02班\t0.600", + "20221115\t2023届高三05班\t0.917", + "20221115\t2023届高三08班\t0.586", + "20221115\t2023届高三09班\t0.360" + ], "origin": "二期课改练习册高二第一学期", "edit": [ "20220726\t王伟叶" @@ -240635,7 +240807,16 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t1.000\t0.826\t1.000", + "20221115\t2023届高三03班\t1.000\t0.957\t0.913", + "20221115\t2023届高三06班\t1.000\t0.973\t0.973", + "20221115\t2023届高三12班\t1.000\t0.850\t0.950", + "20221115\t2023届高三02班\t1.000\t0.967\t0.900", + "20221115\t2023届高三05班\t1.000\t0.972\t0.944", + "20221115\t2023届高三08班\t1.000\t0.897\t0.966", + "20221115\t2023届高三09班\t1.000\t0.960\t0.880" + ], "origin": "新教材选择性必修第一册课堂练习", "edit": [ "20220730\t王伟叶" @@ -240901,7 +241082,16 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三11班\t0.565", + "20221115\t2023届高三03班\t0.913", + "20221115\t2023届高三06班\t0.919", + "20221115\t2023届高三12班\t0.850", + "20221115\t2023届高三02班\t0.867", + "20221115\t2023届高三05班\t0.806", + "20221115\t2023届高三08班\t0.621", + "20221115\t2023届高三09班\t0.760" + ], "origin": "新教材选择性必修第一册课堂练习", "edit": [ "20220730\t王伟叶" @@ -241349,7 +241539,18 @@ "ans": "(1) $2\\pi$; (2) $2\\pi$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三10班\t0.946\t0.946", + "20221115\t2023届高三11班\t0.905\t0.905", + "20221115\t2023届高三12班\t1.000\t0.947", + "20221115\t2023届高三02班\t0.968\t1.000", + "20221115\t2023届高三03班\t0.966\t0.931", + "20221115\t2023届高三04班\t0.968\t0.548", + "20221115\t2023届高三06班\t0.972\t0.972", + "20221115\t2023届高三07班\t0.897\t0.552", + "20221115\t2023届高三08班\t0.793\t0.793", + "20221115\t2023届高三09班\t1.000\t1.000" + ], "origin": "新教材选择性必修第二册课堂练习", "edit": [ "20220730\t王伟叶" @@ -262128,7 +262329,18 @@ "ans": "$f(1)=1$, $f'(1)=4$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三10班\t0.973", + "20221115\t2023届高三11班\t0.857", + "20221115\t2023届高三12班\t1.000", + "20221115\t2023届高三02班\t0.935", + "20221115\t2023届高三03班\t0.966", + "20221115\t2023届高三04班\t0.968", + "20221115\t2023届高三06班\t0.972", + "20221115\t2023届高三07班\t0.966", + "20221115\t2023届高三08班\t0.931", + "20221115\t2023届高三09班\t0.967" + ], "origin": "新教材选择性必修第二册习题", "edit": [ "20220806\t王伟叶" @@ -262491,7 +262703,18 @@ "ans": "(1) 不是, 导数$\\dfrac 1x$不会等于$-1$; (2) $b=2$或$-2$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三10班\t0.946\t0.784", + "20221115\t2023届高三11班\t0.809\t0.714", + "20221115\t2023届高三12班\t0.947\t0.842", + "20221115\t2023届高三02班\t0.935\t0.774", + "20221115\t2023届高三03班\t1.000\t0.931", + "20221115\t2023届高三04班\t1.000\t0.774", + "20221115\t2023届高三06班\t0.944\t0.750", + "20221115\t2023届高三07班\t0.966\t0.759", + "20221115\t2023届高三08班\t0.897\t0.690", + "20221115\t2023届高三09班\t0.900\t0.967" + ], "origin": "新教材选择性必修第二册习题", "edit": [ "20220806\t王伟叶" @@ -262612,7 +262835,18 @@ "ans": "(1) $f'(x)=2x\\sin 3x+3x^2\\cos 3x+\\dfrac 1{\\sqrt{x^3}}$; (2) $f'(x)=\\dfrac{4}{\\mathrm{e}^{2x}+\\mathrm{e}^{-2x}+2}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221115\t2023届高三10班\t0.540\t0.730", + "20221115\t2023届高三11班\t0.619\t0.762", + "20221115\t2023届高三12班\t0.579\t0.579", + "20221115\t2023届高三02班\t0.839\t0.806", + "20221115\t2023届高三03班\t0.862\t0.793", + "20221115\t2023届高三04班\t0.871\t0.548", + "20221115\t2023届高三06班\t0.500\t0.583", + "20221115\t2023届高三07班\t0.759\t0.828", + "20221115\t2023届高三08班\t0.759\t0.690", + "20221115\t2023届高三09班\t0.500\t0.800" + ], "origin": "新教材选择性必修第二册习题", "edit": [ "20220806\t王伟叶" @@ -268523,7 +268757,7 @@ }, "011068": { "id": "011068", - "content": "已知$F_1$、$F_2$分别为椭圆$\\Gamma :\\dfrac{x^2}4+y^2=1$的左、右焦点, $M$为$\\Gamma$上的一点.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\r{0.75}\n\\draw [->] (-2.5,0) -- (2.5,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,2) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [name path = ellipse] (0,0) ellipse (2 and 1);\n\\filldraw ({2*cos(75)},{sin(75)}) circle (0.03) node [above] {$M$} coordinate (M);\n\\draw (M) circle (\\r);\n\\draw [name path = tangent1] ($(O)!2.2!{-asin(\\r/sqrt(4*pow(cos(75),2)+pow(sin(75),2)))}:(M)$) -- (O);\n\\draw [name path = tangent2] ($(O)!1.5!{asin(\\r/sqrt(4*pow(cos(75),2)+pow(sin(75),2)))}:(M)$) -- (O);\n\\draw [name intersections = {of = tangent1 and ellipse, by = P}];\n\\draw [name intersections = {of = tangent2 and ellipse, by = Q}];\n\\draw (P) node [above] {$P$};\n\\draw (Q) node [below left] {$Q$};\n\\end{tikzpicture}\n\\end{center}\n(1) 若点$M$的坐标为$(1,m)$($m>0$), 求$\\triangle F_1MF_2$的面积;\\\\\n(2) 若点$M$的坐标为$(0,1)$, 且直线$y=kx-\\dfrac 35$($k\\in \\mathbf{R}$)与$\\Gamma$交于两不同点$A$、$B$, 求证: $\\overrightarrow{MA}\\cdot \\overrightarrow{MB}$为定值, 并求出该定值;\\\\\n(3)如图, 设点$M$的坐标为$(s,t)$, 过坐标原点$O$作圆$M:(x-s)^2+(y-t)^2=r^2$(其中$r$为定值, $0=latex]\n\\def\\r{0.75}\n\\draw [->] (-2.5,0) -- (2.5,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,2) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$} coordinate (O);\n\\draw [name path = ellipse] (0,0) ellipse (2 and 1);\n\\filldraw ({2*cos(75)},{sin(75)}) circle (0.03) node [above] {$M$} coordinate (M);\n\\draw (M) circle (\\r);\n\\draw [name path = tangent1] ($(O)!2.2!{-asin(\\r/sqrt(4*pow(cos(75),2)+pow(sin(75),2)))}:(M)$) -- (O);\n\\draw [name path = tangent2] ($(O)!1.5!{asin(\\r/sqrt(4*pow(cos(75),2)+pow(sin(75),2)))}:(M)$) -- (O);\n\\draw [name intersections = {of = tangent1 and ellipse, by = P}];\n\\draw [name intersections = {of = tangent2 and ellipse, by = Q}];\n\\draw (P) node [above] {$P$};\n\\draw (Q) node [below left] {$Q$};\n\\end{tikzpicture}\n\\end{center}\n(1) 若点$M$的坐标为$(1,m)$($m>0$), 求$\\triangle F_1MF_2$的面积;\\\\\n(2) 若点$M$的坐标为$(0,1)$, 且直线$y=kx-\\dfrac 35$($k\\in \\mathbf{R}$)与$\\Gamma$交于两不同点$A$、$B$, 求证: $\\overrightarrow{MA}\\cdot \\overrightarrow{MB}$为定值, 并求出该定值;\\\\\n(3)如图, 设点$M$的坐标为$(s,t)$, 过坐标原点$O$作圆$M:(x-s)^2+(y-t)^2=r^2$(其中$r$为定值, $0