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20220922 afternoon

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Wang Weiye 2022-09-22 15:29:33 +08:00
parent 4ffd724333
commit cc7752c6b4
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2
工具/分年级专用工具/小闲平台作业测验数据导入.ipynb
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@ -2,7 +2,7 @@
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工具/在讲义tex文件中提取题号.ipynb
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@ -36,7 +36,7 @@
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@ -50,12 +50,12 @@
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6
工具/寻找tex文件中未赋答案的题目.ipynb
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@ -106,7 +106,7 @@
], ],
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@ -120,12 +120,12 @@
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工具/批量添加题库字段数据.ipynb
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@ -2,265 +2,205 @@
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] ]
} }
], ],

212
工具/批量题号选题pdf生成.ipynb
View File

@ -2,40 +2,152 @@
"cells": [ "cells": [
{ {
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"metadata": {}, "metadata": {},
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{ {
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"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0310002B_教师用_20220912.tex\n", "开始编译教师版本pdf文件: 临时文件/批量生成题目/K0501004B_教师用_20220922.tex\n",
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"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0310002B_学生用_20220912.tex\n", "开始编译学生版本pdf文件: 临时文件/批量生成题目/K0501004B_学生用_20220922.tex\n",
"0\n", "0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0311002B_教师用_20220912.tex\n", "开始编译教师版本pdf文件: 临时文件/批量生成题目/K0501005B_教师用_20220922.tex\n",
"0\n", "0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0311002B_学生用_20220912.tex\n", "开始编译学生版本pdf文件: 临时文件/批量生成题目/K0501005B_学生用_20220922.tex\n",
"0\n", "0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0312003B_教师用_20220912.tex\n", "开始编译教师版本pdf文件: 临时文件/批量生成题目/K0501006B_教师用_20220922.tex\n",
"0\n", "0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0312003B_学生用_20220912.tex\n", "开始编译学生版本pdf文件: 临时文件/批量生成题目/K0501006B_学生用_20220922.tex\n",
"0\n", "0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0313002B_教师用_20220912.tex\n", "开始编译教师版本pdf文件: 临时文件/批量生成题目/K0502001B_教师用_20220922.tex\n",
"0\n", "0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0313002B_学生用_20220912.tex\n", "开始编译学生版本pdf文件: 临时文件/批量生成题目/K0502001B_学生用_20220922.tex\n",
"0\n", "0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0313003B_教师用_20220912.tex\n", "开始编译教师版本pdf文件: 临时文件/批量生成题目/K0502002B_教师用_20220922.tex\n",
"0\n", "0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0313003B_学生用_20220912.tex\n", "开始编译学生版本pdf文件: 临时文件/批量生成题目/K0502002B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0502004B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0502004B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0502006B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0502006B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0502007B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0502007B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0503001B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0503001B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0503002B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0503002B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0503003B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0503003B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0503005B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0503005B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0506001B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0506001B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0506003B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0506003B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0507007B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0507007B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0507009B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0507009B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0509001B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0509001B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0509002B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0509002B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0509003B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0509003B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0504002B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0504002B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0504003B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0504003B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0504006B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0504006B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0504007B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0504007B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0505001B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0505001B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0505003B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0505003B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0505004B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0505004B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0505005B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0505005B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0508003B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0508003B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0508004B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0508004B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0508005B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0508005B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0509004B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0509004B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0510001B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0510001B_学生用_20220922.tex\n",
"0\n",
"开始编译教师版本pdf文件: 临时文件/批量生成题目/K0510003B_教师用_20220922.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/批量生成题目/K0510003B_学生用_20220922.tex\n",
"0\n" "0\n"
] ]
} }
@ -50,13 +162,43 @@
"\"\"\"---设置题目列表---\"\"\"\n", "\"\"\"---设置题目列表---\"\"\"\n",
"#字典字段为文件名, 之后为内容的题号\n", "#字典字段为文件名, 之后为内容的题号\n",
"problems_dict = {\n", "problems_dict = {\n",
"\"K0309001B\":\"4548\",\n", "\"K0501001B\" : \"3327,139,1851,1848\",\n",
"\"K0309003B\":\"3092,3094,3101,3102,6100,6115,6116,6117,6120,6123,6125,6126,6128,6138,6145\",\n", "\"K0501003B\" : \"3352,138,139,515,1847,1854\",\n",
"\"K0310002B\":\"3095,3096,3097,3098,3099,3100,3103,3104,3105,3107,3108,6101,6104,6124,6129,6138,6145,6146,6147,6148,6149,6152,6153,6154,6155,6156,6157,6158,6159,6162,6163,6164,6165,6166,6167,6168,6169,6170,6171,6172,6173,6174,6175,6176,6191,6232,6257,8176\",\n", "\"K0501004B\" : \"3346,1871,1915,3327,139,140,1846,1851,1856,1857\",\n",
"\"K0311002B\":\"3093,4681,5086,6177,8169,8170,10251,9572\",\n", "\"K0501005B\" : \"1857\",\n",
"\"K0312003B\":\"3112,3113,3114,3115,3117,3125,3126,3127,6190,6214,8385\",\n", "\"K0501006B\" : \"3327,1847,1851\",\n",
"\"K0313002B\":\"8168\",\n", "\"K0502001B\" : \"919\",\n",
"\"K0313003B\":\"6286,6288\"\n", "\"K0502002B\" : \"3326,3331,3332\",\n",
"\"K0502004B\" : \"1850,1852,1856\",\n",
"\"K0502006B\" : \"1852\",\n",
"\"K0502007B\" : \"3326,3343,515,1856\",\n",
"\"K0503001B\" : \"3328,3346,140,883,1856\",\n",
"\"K0503002B\" : \"3343,3347,1888,1889,1857\",\n",
"\"K0503003B\" : \"3329,1858\",\n",
"\"K0503005B\" : \"1869,1873\",\n",
"\"K0506001B\" : \"1861\",\n",
"\"K0506003B\" : \"1870,1868,3355,3361,1867,1904,1910,3333,3337,145,535,785,930,1860,1866\",\n",
"\"K0507007B\" : \"3343,1888,1889,143,144,146,155,156\",\n",
"\"K0507009B\" : \"143,144\",\n",
"\"K0509001B\" : \"3351,1894,1907,143,150,155,1865,1874\",\n",
"\"K0509002B\" : \"3344,3353,3358,1895,148,151,1859,1864\",\n",
"\"K0509003B\" : \"3348,3336,1862,1863,1872\",\n",
"\"K0504002B\" : \"481,894\",\n",
"\"K0504003B\" : \"3347,1912,3334\",\n",
"\"K0504006B\" : \"3339,3352,1878,1897,1914,1917,3328,3330,973,947,153,154,871,1877\",\n",
"\"K0504007B\" : \"3356,1901,1878,947,414,481,760,894\",\n",
"\"K0505001B\" : \"1882,1883,792,819,1849\",\n",
"\"K0505003B\" : \"1885,141,142,919,936,1853,1880\",\n",
"\"K0505004B\" : \"3338,1900,154,1879\",\n",
"\"K0505005B\" : \"3340,3341,3342,3349,3354,1884,1897,1900,1906,3330,3334,139,142,152,699,792,919,936,1849,1853\",\n",
"\"K0508003B\" : \"3349,3335,1890,1892,1893,1896,1899,1908,1913,855,141,144,152,156,554,699\",\n",
"\"K0508004B\" : \"3340,3347,3360,1916,1886,1889,1891,1898,1903,152,147,157,819\",\n",
"\"K0508005B\" : \"3345,3350,3357,3360,1916,1887,1898,149\",\n",
"\"K0509004B\" : \"3358,3359,1881,1905,1909,1911,1875,147,158,160,161,955,1876\",\n",
"\"K0510001B\" : \"1902\",\n",
"\"K0510003B\" : \"159\"\n",
"\n",
"\n",
"}\n", "}\n",
"\n", "\n",
"\"\"\"---设置题目列表结束---\"\"\"\n", "\"\"\"---设置题目列表结束---\"\"\"\n",
@ -183,6 +325,26 @@
" print(os.system(\"xelatex -interaction=batchmode -output-directory=\" + directory + \" \"+ students_latex_file))\n" " print(os.system(\"xelatex -interaction=batchmode -output-directory=\" + directory + \" \"+ students_latex_file))\n"
] ]
}, },
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"['3327', '139', '1851', '1848']"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"problems"
]
},
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": null,
@ -193,7 +355,7 @@
], ],
"metadata": { "metadata": {
"kernelspec": { "kernelspec": {
"display_name": "Python 3.8.8 ('base')", "display_name": "Python 3.9.7 ('base')",
"language": "python", "language": "python",
"name": "python3" "name": "python3"
}, },
@ -207,12 +369,12 @@
"name": "python", "name": "python",
"nbconvert_exporter": "python", "nbconvert_exporter": "python",
"pygments_lexer": "ipython3", "pygments_lexer": "ipython3",
"version": "3.8.8" "version": "3.9.7"
}, },
"orig_nbformat": 4, "orig_nbformat": 4,
"vscode": { "vscode": {
"interpreter": { "interpreter": {
"hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac" "hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba"
} }
} }
}, },

6
工具/添加关联题目.ipynb
View File

@ -2,15 +2,15 @@
"cells": [ "cells": [
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 5, "execution_count": 4,
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
"source": [ "source": [
"import os,re,json,time\n", "import os,re,json,time\n",
"\n", "\n",
"\"\"\"---设置原题目id与新题目id---\"\"\"\n", "\"\"\"---设置原题目id与新题目id---\"\"\"\n",
"old_id = \"1166\"\n", "old_id = \"8191\"\n",
"new_id = \"30025\"\n", "new_id = \"30028\"\n",
"\"\"\"---设置完毕---\"\"\"\n", "\"\"\"---设置完毕---\"\"\"\n",
"\n", "\n",
"old_id = old_id.zfill(6)\n", "old_id = old_id.zfill(6)\n",

27
工具/讲义生成.ipynb
View File

@ -2,7 +2,7 @@
"cells": [ "cells": [
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 7, "execution_count": 11,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -13,9 +13,11 @@
"题块 1 处理完毕.\n", "题块 1 处理完毕.\n",
"正在处理题块 2 .\n", "正在处理题块 2 .\n",
"题块 2 处理完毕.\n", "题块 2 处理完毕.\n",
"开始编译教师版本pdf文件: 临时文件/15_周期性与其他三角函数_教师_20220919.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03_教师_20220922.tex\n",
"0\n", "0\n",
"开始编译学生版本pdf文件: 临时文件/15_周期性与其他三角函数_学生_20220919.tex\n", "开始编译学生版本pdf文件: 临时文件/周末卷03_学生_20220922.tex\n",
"0\n" "0\n"
] ]
} }
@ -28,29 +30,30 @@
"\"\"\"---设置模式结束---\"\"\"\n", "\"\"\"---设置模式结束---\"\"\"\n",
"\n", "\n",
"\"\"\"---设置模板文件名---\"\"\"\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/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/测验周末卷模板.tex\"\n",
"\"\"\"---设置模板文件名结束---\"\"\"\n", "\"\"\"---设置模板文件名结束---\"\"\"\n",
"\n", "\n",
"\"\"\"---设置其他预处理替换命令---\"\"\"\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", "#2023届第一轮讲义更换标题\n",
"exec_list = [(\"标题数字待处理\",\"15\"),(\"标题文字待处理\",\"周期性与其他三角函数\")] \n", "# exec_list = [(\"标题数字待处理\",\"16\"),(\"标题文字待处理\",\"平面向量的概念及线性运算\")] \n",
"enumi_mode = 0\n", "# enumi_mode = 0\n",
"\n", "\n",
"#2023届测验卷与周末卷\n", "#2023届测验卷与周末卷\n",
"# exec_list = [(\"标题替换\",\"周末卷03\")]\n", "exec_list = [(\"标题替换\",\"周末卷03\")]\n",
"# enumi_mode = 1\n", "enumi_mode = 1\n",
"\"\"\"---其他预处理替换命令结束---\"\"\"\n", "\"\"\"---其他预处理替换命令结束---\"\"\"\n",
"\n", "\n",
"\"\"\"---设置目标文件名---\"\"\"\n", "\"\"\"---设置目标文件名---\"\"\"\n",
"destination_file = \"临时文件/15_周期性与其他三角函数\"\n", "destination_file = \"临时文件/周末卷03\"\n",
"\"\"\"---设置目标文件名结束---\"\"\"\n", "\"\"\"---设置目标文件名结束---\"\"\"\n",
"\n", "\n",
"\n", "\n",
"\"\"\"---设置题号数据---\"\"\"\n", "\"\"\"---设置题号数据---\"\"\"\n",
"problems = [\n", "problems = [\n",
"\"1496,1497,136,3154,6096,3179,1535,3172,9612,3152,10109\",\n", "\"3115,6264,3096,1472,6604,30027,30028\",\n",
"\"1492,1498,1513,9597,1495,1538,3177,1537,6225,6062,6097\"\n", "\"6305\",\n",
"\"6460,6463\"\n",
"]\n", "]\n",
"\"\"\"---设置题号数据结束---\"\"\"\n", "\"\"\"---设置题号数据结束---\"\"\"\n",
"\n", "\n",

11
工具/题号选题pdf生成.ipynb
View File

File diff suppressed because one or more lines are too long

568
题库0.3/Problems.json
View File

@ -8091,7 +8091,9 @@
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@ -77049,7 +77168,20 @@
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@ -77288,7 +77420,20 @@
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@ -81695,7 +81840,7 @@
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"003327": { "003327": {
"id": "003327", "id": "003327",
"content": "已知$\\overrightarrow a$、$\\overrightarrow b$、$\\overrightarrow c$为非零向量, 下列命题中假命题是\\blank{50}.\\\\\n(1) $\\overrightarrow a+(-\\overrightarrow a)=0$;\\\\\n(2) 若$| \\overrightarrow a|=|\\overrightarrow b|$, 则$\\overrightarrow a=\\overrightarrow b$或$\\overrightarrow a=-\\overrightarrow b$;\\\\\n(3) $\\overrightarrow a\\parallel \\overrightarrow b$是$| \\overrightarrow a+\\overrightarrow b|=|\\overrightarrow a|+|\\overrightarrow b|$成立的充分非必要条件;\\\\\n(4) $\\overrightarrow a+\\overrightarrow b+\\overrightarrow c=\\overrightarrow 0$是$\\overrightarrow a$、$\\overrightarrow b$、$\\overrightarrow c$可以首尾相接构成三角形的必要非充分条件.", "content": "已知$\\overrightarrow a$、$\\overrightarrow b$、$\\overrightarrow c$为非零向量, 下列命题中假命题是\\blank{50}.\\\\\n\\textcircled{1} $\\overrightarrow a+(-\\overrightarrow a)=0$;\\\\\n\\textcircled{2} 若$| \\overrightarrow a|=|\\overrightarrow b|$, 则$\\overrightarrow a=\\overrightarrow b$或$\\overrightarrow a=-\\overrightarrow b$;\\\\\n\\textcircled{3} $\\overrightarrow a\\parallel \\overrightarrow b$是$| \\overrightarrow a+\\overrightarrow b|=|\\overrightarrow a|+|\\overrightarrow b|$成立的充分非必要条件;\\\\\n\\textcircled{4} $\\overrightarrow a+\\overrightarrow b+\\overrightarrow c=\\overrightarrow 0$是$\\overrightarrow a$、$\\overrightarrow b$、$\\overrightarrow c$可以首尾相接构成三角形的必要非充分条件.",
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"tags": [ "tags": [
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@ -110050,7 +110195,19 @@
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"20220922\t2023届高三12班\t0.958",
"20220922\t2023届高三11班\t0.955",
"20220922\t2023届高三01班\t0.933",
"20220922\t2023届高三02班\t1.000",
"20220922\t2023届高三03班\t0.933",
"20220922\t2023届高三04班\t0.969",
"20220922\t2023届高三05班\t0.927",
"20220922\t2023届高三06班\t0.872",
"20220922\t2023届高三07班\t0.938",
"20220922\t2023届高三08班\t0.897",
"20220922\t2023届高三09班\t0.938"
],
"origin": "代数精编第五章三角恒等式与解三角形", "origin": "代数精编第五章三角恒等式与解三角形",
"edit": [ "edit": [
"20220720\t王伟叶" "20220720\t王伟叶"
@ -147375,7 +147596,7 @@
}, },
"006126": { "006126": {
"id": "006126", "id": "006126",
"content": "已知$8\\cos (2\\alpha +\\beta)+5\\cos \\beta =0$, 求$\\tan (\\alpha +\\beta)\\cdot \\tan \\alpha$的值.", "content": "已知$8\\cos (2\\alpha +\\beta)+5\\cos \\beta =0$, 且$\\cos(\\alpha+\\beta)\\cos\\alpha \\ne 0$, 求$\\tan (\\alpha +\\beta)\\cdot \\tan \\alpha$的值.",
"objs": [ "objs": [
"K0309003B" "K0309003B"
], ],
@ -147846,7 +148067,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20220922\t2023届高三10班\t0.703",
"20220922\t2023届高三12班\t0.625",
"20220922\t2023届高三11班\t0.455",
"20220922\t2023届高三01班\t0.867",
"20220922\t2023届高三02班\t0.531",
"20220922\t2023届高三03班\t0.500",
"20220922\t2023届高三04班\t0.438",
"20220922\t2023届高三05班\t0.780",
"20220922\t2023届高三06班\t0.641",
"20220922\t2023届高三07班\t0.719",
"20220922\t2023届高三08班\t0.690",
"20220922\t2023届高三09班\t0.500"
],
"origin": "代数精编第五章三角恒等式与解三角形", "origin": "代数精编第五章三角恒等式与解三角形",
"edit": [ "edit": [
"20220720\t王伟叶" "20220720\t王伟叶"
@ -150855,7 +151089,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20220922\t2023届高三10班\t0.649",
"20220922\t2023届高三12班\t0.708",
"20220922\t2023届高三11班\t0.636",
"20220922\t2023届高三01班\t0.900",
"20220922\t2023届高三02班\t0.656",
"20220922\t2023届高三03班\t0.600",
"20220922\t2023届高三04班\t0.562",
"20220922\t2023届高三05班\t0.805",
"20220922\t2023届高三06班\t0.795",
"20220922\t2023届高三07班\t0.812",
"20220922\t2023届高三08班\t0.828",
"20220922\t2023届高三09班\t0.688"
],
"origin": "代数精编第五章三角恒等式与解三角形", "origin": "代数精编第五章三角恒等式与解三角形",
"edit": [ "edit": [
"20220720\t王伟叶" "20220720\t王伟叶"
@ -151559,7 +151806,8 @@
], ],
"same": [], "same": [],
"related": [ "related": [
"008175" "008175",
"030027"
], ],
"remark": "", "remark": "",
"space": "12ex" "space": "12ex"
@ -154603,7 +154851,7 @@
}, },
"006463": { "006463": {
"id": "006463", "id": "006463",
"content": "若$x\\ne k\\pi$($k\\in \\mathbf{N}$), 求证: $\\dfrac 1{\\sin 2x}+\\dfrac 1{\\sin 2^2x}+\\cdots +\\dfrac 1{\\sin 2^nx}=\\cot x-\\cot 2^nx$.", "content": "证明下列恒等式: $\\dfrac 1{\\sin 2x}+\\dfrac 1{\\sin 2^2x}+\\cdots +\\dfrac 1{\\sin 2^nx}=\\cot x-\\cot 2^nx$.",
"objs": [], "objs": [],
"tags": [ "tags": [
"第三单元" "第三单元"
@ -157168,7 +157416,20 @@
"ans": "", "ans": "",
"solution": "原方程即$\\sin x\\cdot \\dfrac 2{\\sqrt 5}-\\cos x\\cdot \\dfrac 1{\\sqrt 5}=\\dfrac 1{\\sqrt 5}$, 即$\\sin (x-\\varphi)=\\dfrac 1{\\sqrt 5}$(其中$\\varphi =\\arctan \\dfrac 12$),\n所以$x=k\\pi +(-1)^k\\arcsin \\dfrac 1{\\sqrt 5}+\\arctan \\dfrac 12$($k\\in \\mathbf{Z}$).", "solution": "原方程即$\\sin x\\cdot \\dfrac 2{\\sqrt 5}-\\cos x\\cdot \\dfrac 1{\\sqrt 5}=\\dfrac 1{\\sqrt 5}$, 即$\\sin (x-\\varphi)=\\dfrac 1{\\sqrt 5}$(其中$\\varphi =\\arctan \\dfrac 12$),\n所以$x=k\\pi +(-1)^k\\arcsin \\dfrac 1{\\sqrt 5}+\\arctan \\dfrac 12$($k\\in \\mathbf{Z}$).",
"duration": -1, "duration": -1,
"usages": [], "usages": [
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"20220922\t2023届高三11班\t0.261",
"20220922\t2023届高三12班\t0.292",
"20220922\t2023届高三01班\t0.741",
"20220922\t2023届高三02班\t0.567",
"20220922\t2023届高三03班\t0.448",
"20220922\t2023届高三04班\t0.469",
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"20220922\t2023届高三07班\t0.441",
"20220922\t2023届高三08班\t0.241",
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],
"origin": "代数精编第六章反三角与三角方程", "origin": "代数精编第六章反三角与三角方程",
"edit": [ "edit": [
"20220720\t王伟叶" "20220720\t王伟叶"
@ -191058,7 +191319,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20220922\t2023届高三10班\t0.947",
"20220922\t2023届高三11班\t0.870",
"20220922\t2023届高三12班\t1.000",
"20220922\t2023届高三01班\t0.926",
"20220922\t2023届高三02班\t0.900",
"20220922\t2023届高三03班\t0.862",
"20220922\t2023届高三04班\t0.906",
"20220922\t2023届高三05班\t0.872",
"20220922\t2023届高三06班\t1.000",
"20220922\t2023届高三07班\t0.853",
"20220922\t2023届高三08班\t1.000",
"20220922\t2023届高三09班\t0.939"
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"origin": "二期课改练习册高一第二学期", "origin": "二期课改练习册高一第二学期",
"edit": [ "edit": [
"20220726\t王伟叶" "20220726\t王伟叶"
@ -192473,7 +192747,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20220922\t2023届高三10班\t0.892",
"20220922\t2023届高三12班\t1.000",
"20220922\t2023届高三11班\t0.818",
"20220922\t2023届高三01班\t1.000",
"20220922\t2023届高三02班\t0.938",
"20220922\t2023届高三03班\t0.967",
"20220922\t2023届高三04班\t1.000",
"20220922\t2023届高三05班\t0.976",
"20220922\t2023届高三06班\t1.000",
"20220922\t2023届高三07班\t1.000",
"20220922\t2023届高三08班\t0.966",
"20220922\t2023届高三09班\t0.906"
],
"origin": "二期课改练习册高一第二学期", "origin": "二期课改练习册高一第二学期",
"edit": [ "edit": [
"20220726\t王伟叶" "20220726\t王伟叶"
@ -192994,7 +193281,9 @@
"20220726\t王伟叶" "20220726\t王伟叶"
], ],
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"remark": "", "remark": "",
"space": "12ex" "space": "12ex"
}, },
@ -193514,7 +193803,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20220922\t2023届高三10班\t0.895",
"20220922\t2023届高三11班\t0.913",
"20220922\t2023届高三12班\t0.917",
"20220922\t2023届高三01班\t1.000",
"20220922\t2023届高三02班\t0.933",
"20220922\t2023届高三03班\t0.931",
"20220922\t2023届高三04班\t0.938",
"20220922\t2023届高三05班\t0.949",
"20220922\t2023届高三06班\t0.917",
"20220922\t2023届高三07班\t0.941",
"20220922\t2023届高三08班\t0.862",
"20220922\t2023届高三09班\t0.939"
],
"origin": "二期课改练习册高一第二学期", "origin": "二期课改练习册高一第二学期",
"edit": [ "edit": [
"20220726\t王伟叶" "20220726\t王伟叶"
@ -195725,7 +196027,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20220922\t2023届高三10班\t0.842",
"20220922\t2023届高三11班\t0.870",
"20220922\t2023届高三12班\t0.958",
"20220922\t2023届高三01班\t0.926",
"20220922\t2023届高三02班\t0.967",
"20220922\t2023届高三03班\t0.793",
"20220922\t2023届高三04班\t0.969",
"20220922\t2023届高三05班\t0.821",
"20220922\t2023届高三06班\t0.972",
"20220922\t2023届高三07班\t0.941",
"20220922\t2023届高三08班\t0.828",
"20220922\t2023届高三09班\t0.970"
],
"origin": "二期课改练习册高一第二学期", "origin": "二期课改练习册高一第二学期",
"edit": [ "edit": [
"20220726\t王伟叶" "20220726\t王伟叶"
@ -222535,7 +222850,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20220922\t2023届高三10班\t1.000",
"20220922\t2023届高三11班\t1.000",
"20220922\t2023届高三12班\t0.917",
"20220922\t2023届高三01班\t1.000",
"20220922\t2023届高三02班\t0.967",
"20220922\t2023届高三03班\t1.000",
"20220922\t2023届高三04班\t0.969",
"20220922\t2023届高三05班\t0.949",
"20220922\t2023届高三06班\t0.889",
"20220922\t2023届高三07班\t0.941",
"20220922\t2023届高三08班\t0.931",
"20220922\t2023届高三09班\t0.970"
],
"origin": "新教材必修第二册课堂练习", "origin": "新教材必修第二册课堂练习",
"edit": [ "edit": [
"20220730\t王伟叶" "20220730\t王伟叶"
@ -237394,7 +237722,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20220922\t2023届高三10班\t1.000\t0.947\t1.000",
"20220922\t2023届高三11班\t0.913\t0.870\t0.957",
"20220922\t2023届高三12班\t0.875\t0.917\t0.958",
"20220922\t2023届高三01班\t1.000\t0.926\t0.963",
"20220922\t2023届高三02班\t1.000\t0.933\t0.967",
"20220922\t2023届高三03班\t1.000\t1.000\t0.897",
"20220922\t2023届高三04班\t1.000\t1.000\t1.000",
"20220922\t2023届高三05班\t1.000\t0.974\t0.949",
"20220922\t2023届高三06班\t1.000\t1.000\t0.972",
"20220922\t2023届高三07班\t1.000\t0.912\t0.971",
"20220922\t2023届高三08班\t1.000\t0.897\t0.931",
"20220922\t2023届高三09班\t0.970\t0.879\t0.788"
],
"origin": "新教材必修第二册习题", "origin": "新教材必修第二册习题",
"edit": [ "edit": [
"20220806\t王伟叶" "20220806\t王伟叶"
@ -237482,7 +237823,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20220922\t2023届高三10班\t0.447",
"20220922\t2023届高三11班\t0.739",
"20220922\t2023届高三12班\t0.958",
"20220922\t2023届高三01班\t0.889",
"20220922\t2023届高三02班\t1.000",
"20220922\t2023届高三03班\t0.897",
"20220922\t2023届高三04班\t0.969",
"20220922\t2023届高三05班\t0.872",
"20220922\t2023届高三06班\t0.944",
"20220922\t2023届高三07班\t1.000",
"20220922\t2023届高三08班\t0.897",
"20220922\t2023届高三09班\t0.818"
],
"origin": "新教材必修第二册习题", "origin": "新教材必修第二册习题",
"edit": [ "edit": [
"20220806\t王伟叶" "20220806\t王伟叶"
@ -237621,7 +237975,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20220922\t2023届高三10班\t0.947\t0.895\t0.974\t0.895",
"20220922\t2023届高三11班\t0.913\t0.870\t0.870\t0.739",
"20220922\t2023届高三12班\t0.833\t0.958\t0.958\t0.625",
"20220922\t2023届高三01班\t1.000\t0.963\t0.963\t0.963",
"20220922\t2023届高三02班\t0.833\t0.867\t0.900\t0.800",
"20220922\t2023届高三03班\t0.828\t0.828\t1.000\t0.724",
"20220922\t2023届高三04班\t0.875\t0.781\t0.938\t0.719",
"20220922\t2023届高三05班\t0.923\t0.846\t1.000\t0.795",
"20220922\t2023届高三06班\t0.917\t0.972\t0.972\t0.861",
"20220922\t2023届高三07班\t0.971\t0.853\t0.853\t0.706",
"20220922\t2023届高三08班\t0.897\t0.862\t0.966\t0.897",
"20220922\t2023届高三09班\t0.879\t0.849\t0.879\t0.727"
],
"origin": "新教材必修第二册习题", "origin": "新教材必修第二册习题",
"edit": [ "edit": [
"20220806\t王伟叶" "20220806\t王伟叶"
@ -237772,7 +238139,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
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"20220922\t2023届高三12班\t0.708",
"20220922\t2023届高三01班\t0.963",
"20220922\t2023届高三02班\t0.800",
"20220922\t2023届高三03班\t0.690",
"20220922\t2023届高三04班\t0.844",
"20220922\t2023届高三05班\t0.718",
"20220922\t2023届高三06班\t0.639",
"20220922\t2023届高三07班\t0.735",
"20220922\t2023届高三08班\t0.586",
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"origin": "新教材必修第二册习题", "origin": "新教材必修第二册习题",
"edit": [ "edit": [
"20220806\t王伟叶" "20220806\t王伟叶"
@ -237921,7 +238301,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
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"20220922\t2023届高三01班\t0.926",
"20220922\t2023届高三02班\t0.800",
"20220922\t2023届高三03班\t0.724",
"20220922\t2023届高三04班\t0.781",
"20220922\t2023届高三05班\t0.872",
"20220922\t2023届高三06班\t0.917",
"20220922\t2023届高三07班\t0.941",
"20220922\t2023届高三08班\t0.828",
"20220922\t2023届高三09班\t0.788"
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"origin": "新教材必修第二册习题", "origin": "新教材必修第二册习题",
"edit": [ "edit": [
"20220806\t王伟叶" "20220806\t王伟叶"
@ -238711,7 +239104,20 @@
"ans": "", "ans": "",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
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"20220922\t2023届高三12班\t0.667\t0.625\t0.750",
"20220922\t2023届高三01班\t0.963\t0.889\t0.889",
"20220922\t2023届高三02班\t0.867\t0.867\t0.867",
"20220922\t2023届高三03班\t0.828\t0.724\t0.897",
"20220922\t2023届高三04班\t0.844\t0.531\t0.781",
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"20220922\t2023届高三06班\t0.806\t0.778\t0.806",
"20220922\t2023届高三07班\t0.735\t0.294\t0.794",
"20220922\t2023届高三08班\t0.655\t0.483\t0.552",
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"origin": "新教材必修第二册习题", "origin": "新教材必修第二册习题",
"edit": [ "edit": [
"20220806\t王伟叶" "20220806\t王伟叶"
@ -282075,7 +282481,20 @@
"ans": "证明略", "ans": "证明略",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
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"20220922\t2023届高三12班\t1.000",
"20220922\t2023届高三01班\t0.963",
"20220922\t2023届高三02班\t0.967",
"20220922\t2023届高三03班\t0.966",
"20220922\t2023届高三04班\t0.812",
"20220922\t2023届高三05班\t0.872",
"20220922\t2023届高三06班\t1.000",
"20220922\t2023届高三07班\t0.824",
"20220922\t2023届高三08班\t0.828",
"20220922\t2023届高三09班\t0.667"
],
"origin": "新教材必修第二册教材例题", "origin": "新教材必修第二册教材例题",
"edit": [ "edit": [
"20220912\t王伟叶\t朱敏慧" "20220912\t王伟叶\t朱敏慧"
@ -282324,5 +282743,78 @@
], ],
"remark": "", "remark": "",
"space": "" "space": ""
},
"030026": {
"id": "030026",
"content": "已知直线$l$经过点$(-\\sqrt{5},0)$且法向量为$(1,2)$, 则原点$O$到直线$l$的距离为\\blank{50}.",
"objs": [],
"tags": [
"第七单元"
],
"genre": "填空题",
"ans": "$1$",
"solution": "",
"duration": -1,
"usages": [],
"origin": "赋能练习-20220922修改",
"edit": [
"20220624\t朱敏慧, 王伟叶",
"20220922\t吴惠群"
],
"same": [],
"related": [
"000334"
],
"remark": "",
"space": ""
},
"030027": {
"id": "030027",
"content": "已知$\\sin \\alpha +\\sin \\beta =\\dfrac 35$, $\\cos \\alpha +\\cos \\beta =\\dfrac 45$, 则$\\cos \\alpha \\cdot \\cos \\beta$的值为\\blank{50}.",
"objs": [],
"tags": [
"第三单元"
],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "代数精编第五章三角恒等式与解三角形-20220922修改",
"edit": [
"20220720\t王伟叶",
"20220922\t王伟叶"
],
"same": [],
"related": [
"008175",
"006319"
],
"remark": "",
"space": ""
},
"030028": {
"id": "030028",
"content": "已知$\\tan (\\alpha -\\beta)=\\dfrac 12$, $\\tan \\beta =-\\dfrac 17$, 且$\\alpha,\\beta \\in (0,\\pi)$, 则$2\\alpha -\\beta$的值为\\blank{50}.",
"objs": [],
"tags": [
"第三单元"
],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "二期课改练习册高一第二学期-20220922修改",
"edit": [
"20220726\t王伟叶",
"20220922\t王伟叶"
],
"same": [],
"related": [
"008191"
],
"remark": "",
"space": ""
} }
} }