diff --git a/工具/添加关联题目.ipynb b/工具/添加关联题目.ipynb index d4e7b6da..03750eb9 100644 --- a/工具/添加关联题目.ipynb +++ b/工具/添加关联题目.ipynb @@ -2,15 +2,15 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import os,re,json,time\n", "\n", "\"\"\"---设置原题目id与新题目id---\"\"\"\n", - "old_id = \"2364\"\n", - "new_id = \"30484\"\n", + "old_id = \"12026\"\n", + "new_id = \"30495\"\n", "\"\"\"---设置完毕---\"\"\"\n", "\n", "old_id = old_id.zfill(6)\n", diff --git a/工具/讲义生成.ipynb b/工具/讲义生成.ipynb index 10546d20..83fafb32 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": 2, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -13,9 +13,9 @@ "题块 1 处理完毕.\n", "正在处理题块 2 .\n", "题块 2 处理完毕.\n", - "开始编译教师版本pdf文件: 临时文件/38_计数原理与排列组合_教师_20221129.tex\n", + "开始编译教师版本pdf文件: 临时文件/39_二项式定理_教师_20221130.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/38_计数原理与排列组合_学生_20221129.tex\n", + "开始编译学生版本pdf文件: 临时文件/39_二项式定理_学生_20221130.tex\n", "0\n" ] } @@ -35,7 +35,7 @@ "\n", "\"\"\"---设置其他预处理替换命令---\"\"\"\n", "#2023届第一轮讲义更换标题\n", - "exec_list = [(\"标题数字待处理\",\"38\"),(\"标题文字待处理\",\"计数原理与排列组合\")] \n", + "exec_list = [(\"标题数字待处理\",\"39\"),(\"标题文字待处理\",\"二项式定理\")] \n", "enumi_mode = 0\n", "\n", "#2023届测验卷与周末卷\n", @@ -49,14 +49,14 @@ "\"\"\"---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/38_计数原理与排列组合\"\n", + "destination_file = \"临时文件/39_二项式定理\"\n", "\"\"\"---设置目标文件名结束---\"\"\"\n", "\n", "\n", "\"\"\"---设置题号数据---\"\"\"\n", "problems = [\n", - "\"7366,7371,7376,7368,7501,9254,2605,3567,2602,3581,7423,9274,2550,9935,9285,7361,7506,10868,11229,7447,7450,11679,9355\",\n", - "\"7380,7673,7455,7502,3666,2586,2537,7432,2563,2549,9262,7521,9333,10861,7494,7476,3640,9351,3574\"\n", + "\"2623,3764,7575,7528,12026,7630,4342,7535,7539,7643,4030\",\n", + "\"11369,7527,7631,7580,9948,7641,7645,7582,7660\"\n", "\n", "]\n", "\"\"\"---设置题号数据结束---\"\"\"\n", @@ -208,7 +208,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 ('base')", + "display_name": "Python 3.9.7 ('base')", "language": "python", "name": "python3" }, @@ -222,12 +222,12 @@ "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/题库0.3/Problems.json b/题库0.3/Problems.json index 3af29600..1fc277a4 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -71417,7 +71417,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "030494" + ], "remark": "", "space": "" }, @@ -189864,7 +189866,7 @@ }, "007527": { "id": "007527", - "content": "求$(1+x)+(1+x)^2+(1+x)^3+\\cdots +(1+x)^{2n}$($n\\in \\mathbf{N}$)的展开式中念$x^n$项的系数.", + "content": "求$(1+x)+(1+x)^2+(1+x)^3+\\cdots +(1+x)^{2n}$($n\\in \\mathbf{N}$)的展开式中含$x^n$项的系数.", "objs": [ "K0819005X" ], @@ -190170,7 +190172,7 @@ "第八单元", "二项式定理" ], - "genre": "填空题", + "genre": "解答题", "ans": "", "solution": "因为$53^{53}=(54-1)^{53}$\n\\blank{50}$=54^{53}-\\mathrm{C}_{53}^1\\cdot 54^{52}+\\mathrm{C}_{53}^2\\cdot 54^{51}-\\mathrm{C}_{53}^3\\cdot 54^{50}+\\cdots +\\mathrm{C}_{53}^{52}\\cdot 54-1$\n\\blank{50}$=9A-1=9A-9+8=9B+8$($A,B\\in \\mathbf{Z}$),\n所以所求余数为8.", "duration": -1, @@ -190182,7 +190184,7 @@ "same": [], "related": [], "remark": "", - "space": "" + "space": "12ex" }, "007540": { "id": "007540", @@ -192378,7 +192380,7 @@ }, "007630": { "id": "007630", - "content": "已知$x$为实数, $i$为虚数单位, 则$(1+ix)^{50}$展开式中实系数项的系数和为\\blank{50}.", + "content": "已知$x$为实数, $\\mathrm{i}$为虚数单位, 则$(1+x\\mathrm{i})^{50}$展开式中实系数项的系数和为\\blank{50}.", "objs": [ "K0820001X" ], @@ -192393,7 +192395,8 @@ "usages": [], "origin": "代数精编第九章排列组合", "edit": [ - "20220720\t王伟叶" + "20220720\t王伟叶", + "20221130\t王伟叶" ], "same": [], "related": [], @@ -294910,7 +294913,9 @@ "20221027\t王伟叶" ], "same": [], - "related": [], + "related": [ + "030495" + ], "remark": "", "space": "12ex" }, @@ -315928,5 +315933,61 @@ "related": [], "remark": "", "space": "12ex" + }, + "030494": { + "id": "030494", + "content": "$(1+2x+x^2)^{10}(1-x)^5$的展开式中, 各项系数的和为\\blank{30}, 常数项为\\blank{30}.", + "objs": [ + "K0820001X", + "K0819005X" + ], + "tags": [ + "第八单元", + "二项式定理" + ], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2016届创新班作业\t4120-二项式定理[3]-20221130修改", + "edit": [ + "20220625\t王伟叶", + "20221130\t吴惠群" + ], + "same": [], + "related": [ + "002634" + ], + "remark": "", + "space": "" + }, + "030495": { + "id": "030495", + "content": "已知$m>0$. 若$(\\dfrac 2m+\\dfrac mx)^{10}=a_0+\\dfrac{a_1}x+\\dfrac{a_2}{x^2}+\\cdots +\\dfrac{a_{10}}{x^{10}}$, 且$a_2=180$, 求$a_i$($0\\le i \\le 10$, $i\\in \\mathbf{N}$)的最大值.", + "objs": [ + "K0819005X", + "K0820003X" + ], + "tags": [ + "第八单元", + "二项式定理" + ], + "genre": "解答题", + "ans": "$15360$", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2022届杨浦高三基础考试题18-20221130修改", + "edit": [ + "20221027\t王伟叶", + "20221130\t吴惠群" + ], + "same": [], + "related": [ + "012026" + ], + "remark": "", + "space": "12ex" } } \ No newline at end of file