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20221130 afternoon

This commit is contained in:
Wang Weiye 2022-11-30 18:27:02 +08:00
parent 035a7d6399
commit f2b4e39391
3 changed files with 81 additions and 20 deletions
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6
工具/添加关联题目.ipynb
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@ -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",

20
工具/讲义生成.ipynb
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@ -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"
}
}
},

75
题库0.3/Problems.json
View File

@ -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"
}
}