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20221109 afternoon

This commit is contained in:
Wang Weiye 2022-11-09 16:51:32 +08:00
parent a09a49ec77
commit d9cc8c8a9e
3 changed files with 168 additions and 23 deletions
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12
工具/添加关联题目.ipynb
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@ -2,15 +2,15 @@
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"import os,re,json,time\n",
"\n",
"\"\"\"---设置原题目id与新题目id---\"\"\"\n",
"old_id = \"8438\"\n",
"new_id = \"30473\"\n",
"old_id = \"1805\"\n",
"new_id = \"30478\"\n",
"\"\"\"---设置完毕---\"\"\"\n",
"\n",
"old_id = old_id.zfill(6)\n",
@ -50,7 +50,7 @@
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.8.8 ('base')",
"display_name": "Python 3.9.7 ('base')",
"language": "python",
"name": "python3"
},
@ -64,12 +64,12 @@
"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"
}
}
},

19
工具/讲义生成.ipynb
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@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"execution_count": 2,
"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/33_立体几何中的定量计算_预选_教师_20221105.tex\n",
"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",
"0\n",
"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_预选_学生_20221105.tex\n",
"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",
"0\n"
]
}
@ -49,14 +49,15 @@
"\"\"\"---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/33_立体几何中的定量计算_预选\"\n",
"destination_file = \"临时文件/33_立体几何中的定量计算\"\n",
"\"\"\"---设置目标文件名结束---\"\"\"\n",
"\n",
"\n",
"\"\"\"---设置题号数据---\"\"\"\n",
"problems = [\n",
"\"293,10740,304,10721,294,3647,30462,305,9873,299,4096\",\n",
"\"30465,4348,10730,10735,4698,30472,4243,10739,296,30468\"\n",
"\"293,304,10721,294,30462,305,299,4096\",\n",
"\"10730,4348,4698,30472,4243,296,30468\"\n",
"\n",
"]\n",
"\"\"\"---设置题号数据结束---\"\"\"\n",
"\n",
@ -207,7 +208,7 @@
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.8.8 ('base')",
"display_name": "Python 3.9.7 ('base')",
"language": "python",
"name": "python3"
},
@ -221,12 +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"
}
}
},

160
题库0.3/Problems.json
View File

@ -48041,7 +48041,8 @@
],
"same": [],
"related": [
"001815"
"001815",
"030478"
],
"remark": "",
"space": "12ex"
@ -48131,7 +48132,7 @@
},
"001809": {
"id": "001809",
"content": "[选做]\n五只猴子得到了一堆桃子, 它们发现那堆桃子不能被均分成$5$份, 于是猴子们决定先去睡觉, 明天再讨论如何分配. 夜里猴子甲偷偷起来, 吃掉了一个桃子后, 它发现余下的桃子正好可以平均分成$5$份, 于是它拿走了一份; 接着猴子乙也起来先偷吃了一个, 结果它也发现余下的桃子恰好可以被平均分成$5$份, 于是它也拿走了一份; 后面的猴子丙, 丁, 戊如法炮制, 先偷吃一个, 然后将余下的桃子平均分成$5$份并拿出了自己的一份, 问: 这一堆桃子至少有几个?",
"content": "五只猴子得到了一堆桃子, 它们发现那堆桃子不能被均分成$5$份, 于是猴子们决定先去睡觉, 明天再讨论如何分配. 夜里猴子甲偷偷起来, 吃掉了一个桃子后, 它发现余下的桃子正好可以平均分成$5$份, 于是它拿走了一份; 接着猴子乙也起来先偷吃了一个, 结果它也发现余下的桃子恰好可以被平均分成$5$份, 于是它也拿走了一份; 后面的猴子丙, 丁, 戊如法炮制, 先偷吃一个, 然后将余下的桃子平均分成$5$份并拿出了自己的一份, 问: 这一堆桃子至少有几个?",
"objs": [
"K0407004X",
"K0407003X"
@ -48368,7 +48369,9 @@
"20220625\t王伟叶"
],
"same": [],
"related": [],
"related": [
"030476"
],
"remark": "",
"space": "12ex"
},
@ -48473,7 +48476,9 @@
"20220625\t王伟叶"
],
"same": [],
"related": [],
"related": [
"030475"
],
"remark": "",
"space": ""
},
@ -84320,7 +84325,7 @@
},
"003219": {
"id": "003219",
"content": "已知正项数列$\\{a_n\\}$满足$a_n-\\dfrac 1a_n=-2n$, 求证: 数列$\\{a_n\\}$是递减数列.",
"content": "已知正项数列$\\{a_n\\}$满足$a_n-\\dfrac 1{a_n}=-2n$, 求证: 数列$\\{a_n\\}$是递减数列.",
"objs": [
"K0406004X"
],
@ -206674,7 +206679,9 @@
"20220726\t王伟叶"
],
"same": [],
"related": [],
"related": [
"030477"
],
"remark": "",
"space": "12ex"
},
@ -206766,7 +206773,9 @@
"20220726\t王伟叶"
],
"same": [],
"related": [],
"related": [
"030477"
],
"remark": "",
"space": "12ex"
},
@ -260517,7 +260526,9 @@
"20220806\t王伟叶"
],
"same": [],
"related": [],
"related": [
"030474"
],
"remark": "",
"space": "12ex"
},
@ -306857,5 +306868,138 @@
],
"remark": "",
"space": ""
},
"030474": {
"id": "030474",
"content": "已知数列$\\{a_n\\}$的通项公式为$a_n=\\dfrac{n^2+n-1}3$($n$是正整数), 问: $79\\dfrac 23$是否是该数列中的项? 若是, 是第几项? 若否, 请说明理由.",
"objs": [
"K0406002X"
],
"tags": [
"第四单元"
],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "新教材选择性必修第一册习题-20221109修改",
"edit": [
"20220806\t王伟叶",
"20221109\t吴惠群"
],
"same": [],
"related": [
"010771"
],
"remark": "",
"space": "12ex"
},
"030475": {
"id": "030475",
"content": "已知无穷数列$\\{a_n\\}$满足$(a_{n+1}+a_n)(a_{n+1}-a_n-1)=0 \\ (n\\ge 1)$, $a_1=0$.\n这个的数列的前$5$项之和的所有可能值为\\blank{150}.",
"objs": [
"K0407001X"
],
"tags": [
"第四单元"
],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2016届创新班作业\t3111-利用部分和与通项的关系确定数列-20221109修改",
"edit": [
"20220625\t王伟叶",
"20221109\t吴惠群"
],
"same": [],
"related": [
"001821"
],
"remark": "",
"space": ""
},
"030476": {
"id": "030476",
"content": "在数列$\\{a_n\\}$中, 已知$a_1=\\dfrac{4}{3}$, $a_{n+1}=\\dfrac{2}{3-a_n} \\ (n\\ge 1)$.\\\\\n(1) 计算$a_2,a_3,a_4$, 并猜测$a_n$的一般形式;\\\\\n(2) 用数学归纳法证明你的猜想.",
"objs": [
"K0409001X"
],
"tags": [
"第四单元"
],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2016届创新班作业\t3110-递推数列求通项[3]-20221109修改",
"edit": [
"20220625\t王伟叶",
"20221109\t吴惠群"
],
"same": [],
"related": [
"001817"
],
"remark": "",
"space": "12ex"
},
"030477": {
"id": "030477",
"content": "写出下列数列的一个通项公式, 使它的前$4$项分别是下列各数:\\\\\n(1) $4, 8, 12, 16$;\\\\\n(2) $\\dfrac 12,\\dfrac 38,\\dfrac 5{18},\\dfrac 7{32}$;\\\\\n(3) $-\\dfrac 1{2\\times 1},\\dfrac 1{2\\times 2},-\\dfrac 1{2\\times 3},\\dfrac 1{2\\times 4}$;\\\\\n(4) $1,-\\sqrt[3]2,\\sqrt[3]3,-\\sqrt[3]4$.",
"objs": [
"K0406003X"
],
"tags": [
"第四单元"
],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "二期课改练习册高二第一学期-20221109修改",
"edit": [
"20220726\t王伟叶",
"20221109\t吴惠群"
],
"same": [],
"related": [
"008402",
"008406"
],
"remark": "",
"space": "12ex"
},
"030478": {
"id": "030478",
"content": "在数列$\\{a_n\\}$中, 已知$a_1=1$, $a_{n+1}=2a_n-3\\cdot2^n \\ (n\\ge 1)$. 求数列的通项.",
"objs": [
"K0407002X",
"K0407003X"
],
"tags": [
"第四单元"
],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2016届创新班作业\t3108-递推数列求通项[1]-20221109修改",
"edit": [
"20220625\t王伟叶",
"20221109\t吴惠群"
],
"same": [],
"related": [
"001815",
"001805"
],
"remark": "",
"space": "12ex"
}
}