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weiye.wang 2022-10-27 22:24:31 +08:00
parent ce43c5c84a
commit 4f7b1897ff
5 changed files with 157 additions and 94 deletions
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14
工具/寻找tex文件中未赋答案的题目.ipynb
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@ -2,14 +2,14 @@
"cells": [ "cells": [
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 30, "execution_count": 10,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
"output_type": "stream", "output_type": "stream",
"text": [ "text": [
"国庆卷.tex\n" "周末卷05.tex\n"
] ]
} }
], ],
@ -17,9 +17,9 @@
"import os,json,re\n", "import os,json,re\n",
"\n", "\n",
"#这里需要修改, 设定路径与选择文件\n", "#这里需要修改, 设定路径与选择文件\n",
"fileind = 7\n", "fileind = 6\n",
"# path = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\"\n", "# path = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\"\n",
"path = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\23届\\上学期周末卷\"\n", "path = r\"C:\\Users\\Weiye\\Documents\\wwy sync\\23届\\上学期周末卷\"\n",
"\n", "\n",
"fileind = fileind - 1\n", "fileind = fileind - 1\n",
"with open(\"../题库0.3/Problems.json\",\"r\",encoding = \"utf8\") as f:\n", "with open(\"../题库0.3/Problems.json\",\"r\",encoding = \"utf8\") as f:\n",
@ -47,7 +47,7 @@
], ],
"metadata": { "metadata": {
"kernelspec": { "kernelspec": {
"display_name": "Python 3.9.7 ('base')", "display_name": "Python 3.8.8 ('base')",
"language": "python", "language": "python",
"name": "python3" "name": "python3"
}, },
@ -61,12 +61,12 @@
"name": "python", "name": "python",
"nbconvert_exporter": "python", "nbconvert_exporter": "python",
"pygments_lexer": "ipython3", "pygments_lexer": "ipython3",
"version": "3.9.7" "version": "3.8.8"
}, },
"orig_nbformat": 4, "orig_nbformat": 4,
"vscode": { "vscode": {
"interpreter": { "interpreter": {
"hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba" "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
} }
} }
}, },

60
工具/批量添加题库字段数据.ipynb
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@ -2,34 +2,50 @@
"cells": [ "cells": [
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 1,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
"output_type": "stream", "output_type": "stream",
"text": [ "text": [
"题号: 001506 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t1.000\n", "题号: 030169 , 字段: ans 中已修改数据: $2$\n",
"题号: 004125 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.970\n", "题号: 030273 , 字段: ans 中已修改数据: $5$\n",
"题号: 002027 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.970\n", "题号: 001677 , 字段: ans 中已修改数据: $\\dfrac\\pi 3$\n",
"题号: 030152 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.970\n", "题号: 003531 , 字段: ans 中已修改数据: 以$(1,0)$为圆心, $3$为半径的圆\n",
"题号: 004414 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.909\n", "题号: 003533 , 字段: ans 中已修改数据: $\\{4\\mathrm{i}\\}$\n",
"题号: 001013 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.939\n", "题号: 003455 , 字段: ans 中已修改数据: $\\dfrac\\pi 3$\n",
"题号: 003798 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.939\n", "题号: 004092 , 字段: ans 中已修改数据: B\n",
"题号: 001253 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.515\n", "题号: 003891 , 字段: ans 中已修改数据: D\n",
"题号: 001510 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t1.000\n", "题号: 001643 , 字段: ans 中已修改数据: B\n",
"题号: 001515 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.606\n", "题号: 000182 , 字段: ans 中已修改数据: $\\dfrac{\\sqrt{6}}6$\n",
"题号: 004111 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.333\n", "题号: 000187 , 字段: ans 中已修改数据: (1) 证明略; (2) 证明略\n",
"题号: 030153 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.606\n", "题号: 000298 , 字段: ans 中已修改数据: (1) $\\dfrac\\pi 3$; (2) $\\dfrac 56$\n",
"题号: 001993 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t1.000\n", "题号: 003495 , 字段: ans 中已修改数据: (1) $\\arctan\\sqrt{2}$; (2) $\\dfrac\\pi 4$; (3) $\\sqrt{2}$\n",
"题号: 004240 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.909\n", "题号: 004180 , 字段: ans 中已修改数据: (1) $\\dfrac\\pi 3$; (2) $\\dfrac{\\sqrt{2}}2$\n",
"题号: 003645 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.909\n", "题号: 003500 , 字段: ans 中已修改数据: (1) $2$; (2) $\\arccos \\dfrac{\\sqrt{2}}4$\n",
"题号: 004116 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.879\n", "题号: 003462 , 字段: ans 中已修改数据: (1) 证明略; (2) 当且仅当$\\theta=\\arcsin\\dfrac{\\sqrt{3}}3$时, 三角形$AEF$的面积最大, 最大值为$\\dfrac 12$\n",
"题号: 004636 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.808\t0.886\n", "题号: 001506 , 字段: ans 中已修改数据: $-1$\n",
"题号: 001494 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.990\t0.682\n", "题号: 004125 , 字段: ans 中已修改数据: $(0,1)$\n",
"题号: 004098 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.909\t0.629\n", "题号: 002027 , 字段: ans 中已修改数据: $\\dfrac 8{25}$\n",
"题号: 004424 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.849\t0.364\t0.434\n", "题号: 030152 , 字段: ans 中已修改数据: $\\dfrac 12\\pm \\dfrac 12\\mathrm{i}$\n",
"题号: 004509 , 字段: usages 中已添加数据: 20221027\t2023届高三03班\t0.485\t0.748\t0.159\n" "题号: 004414 , 字段: ans 中已修改数据: $(3,+\\infty)$\n",
"题号: 001013 , 字段: ans 中已修改数据: $\\{(\\dfrac{3+\\sqrt{5}}2,\\dfrac{5+\\sqrt{5}}2),(\\dfrac{3-\\sqrt{5}}2,\\dfrac{5-\\sqrt{5}}2)\\}$\n",
"题号: 003798 , 字段: ans 中已修改数据: $\\dfrac\\pi 3$\n",
"题号: 001253 , 字段: ans 中已修改数据: $[0,\\dfrac 43]$\n",
"题号: 001510 , 字段: ans 中已修改数据: $4\\pi$\n",
"题号: 001515 , 字段: ans 中已修改数据: $-4$或$2$\n",
"题号: 004111 , 字段: ans 中已修改数据: $[\\dfrac 73,\\dfrac{13}3)$\n",
"题号: 030153 , 字段: ans 中已修改数据: $3.985\\overrightarrow{OA}+1.690\\overrightarrow{OB}$\n",
"题号: 001993 , 字段: ans 中已修改数据: C\n",
"题号: 004240 , 字段: ans 中已修改数据: D\n",
"题号: 003645 , 字段: ans 中已修改数据: C\n",
"题号: 004116 , 字段: ans 中已修改数据: A\n",
"题号: 004636 , 字段: ans 中已修改数据: (1) 当$a>2$时, 解集为$(-\\infty,-2)\\cup (0,+\\infty)$; 当$a=2$时, 解集为$\\varnothing$; 当$a<2$时, 解集为$(-2,0)$; (2) $(-\\infty,\\dfrac {34}{15})$\n",
"题号: 001494 , 字段: ans 中已修改数据: (1) 证明略; (2) $f(x)=98-x$\n",
"题号: 004098 , 字段: ans 中已修改数据: (1) $AC=\\sqrt{7}\\text{km}$, $S_{ABCD}=2\\sqrt{3}\\text{km}^2$; (2) 当且仅当$P$位于弧$\\overset\\frown{ABC}$的中点时, 改造后的新建筑用地面积最大, 最大面积为$\\dfrac{9\\sqrt{3}}4\\text{km}^2$\n",
"题号: 004424 , 字段: ans 中已修改数据: (1) $(3,4]$; (2) $(0,1]$上的值域为$\\{1\\}$, $(1,2]$上的值域为$\\{3,4\\}$, $(2,3]$上的值域为$\\{7,8,9\\}$, $(0,n]$上的值域中含有的元素个数为$\\dfrac{n(n+1)}2$; (3) $(3,+\\infty)$\n",
"题号: 004509 , 字段: ans 中已修改数据: (1) $[\\dfrac 12,+\\infty)$; (2) 不是, 证明略; (3) 证明略\n"
] ]
} }
], ],

93
工具/文本文件/metadata.txt
View File

@ -1,65 +1,112 @@
usages ans
030169
$2$
030273
$5$
001677
$\dfrac\pi 3$
003531
以$(1,0)$为圆心, $3$为半径的圆
003533
$\{4\mathrm{i}\}$
003455
$\dfrac\pi 3$
004092
B
003891
D
001643
B
000182
$\dfrac{\sqrt{6}}6$
000187
(1) 证明略; (2) 证明略
000298
(1) $\dfrac\pi 3$; (2) $\dfrac 56$
003495
(1) $\arctan\sqrt{2}$; (2) $\dfrac\pi 4$; (3) $\sqrt{2}$
004180
(1) $\dfrac\pi 3$; (2) $\dfrac{\sqrt{2}}2$
003500
(1) $2$; (2) $\arccos \dfrac{\sqrt{2}}4$
003462
(1) 证明略; (2) 当且仅当$\theta=\arcsin\dfrac{\sqrt{3}}3$时, 三角形$AEF$的面积最大, 最大值为$\dfrac 12$
001506 001506
20221027 2023届高三03班 1.000 $-1$
004125 004125
20221027 2023届高三03班 0.970 $(0,1)$
002027 002027
20221027 2023届高三03班 0.970 $\dfrac 8{25}$
030152 030152
20221027 2023届高三03班 0.970 $\dfrac 12\pm \dfrac 12\mathrm{i}$
004414 004414
20221027 2023届高三03班 0.909 $(3,+\infty)$
001013 001013
20221027 2023届高三03班 0.939 $\{(\dfrac{3+\sqrt{5}}2,\dfrac{5+\sqrt{5}}2),(\dfrac{3-\sqrt{5}}2,\dfrac{5-\sqrt{5}}2)\}$
003798 003798
20221027 2023届高三03班 0.939 $\dfrac\pi 3$
001253 001253
20221027 2023届高三03班 0.515 $[0,\dfrac 43]$
001510 001510
20221027 2023届高三03班 1.000 $4\pi$
001515 001515
20221027 2023届高三03班 0.606 $-4$或$2$
004111 004111
20221027 2023届高三03班 0.333 $[\dfrac 73,\dfrac{13}3)$
030153 030153
20221027 2023届高三03班 0.606 $3.985\overrightarrow{OA}+1.690\overrightarrow{OB}$
001993 001993
20221027 2023届高三03班 1.000 C
004240 004240
20221027 2023届高三03班 0.909 D
003645 003645
20221027 2023届高三03班 0.909 C
004116 004116
20221027 2023届高三03班 0.879 A
004636 004636
20221027 2023届高三03班 0.808 0.886 (1) 当$a>2$时, 解集为$(-\infty,-2)\cup (0,+\infty)$; 当$a=2$时, 解集为$\varnothing$; 当$a<2$时, 解集为$(-2,0)$; (2) $(-\infty,\dfrac {34}{15})$
001494 001494
20221027 2023届高三03班 0.990 0.682 (1) 证明略; (2) $f(x)=98-x$
004098 004098
20221027 2023届高三03班 0.909 0.629 (1) $AC=\sqrt{7}\text{km}$, $S_{ABCD}=2\sqrt{3}\text{km}^2$; (2) 当且仅当$P$位于弧$\overset\frown{ABC}$的中点时, 改造后的新建筑用地面积最大, 最大面积为$\dfrac{9\sqrt{3}}4\text{km}^2$
004424 004424
20221027 2023届高三03班 0.849 0.364 0.434 (1) $(3,4]$; (2) $(0,1]$上的值域为$\{1\}$, $(1,2]$上的值域为$\{3,4\}$, $(2,3]$上的值域为$\{7,8,9\}$, $(0,n]$上的值域中含有的元素个数为$\dfrac{n(n+1)}2$; (3) $(3,+\infty)$
004509 004509
20221027 2023届高三03班 0.485 0.748 0.159 (1) $[\dfrac 12,+\infty)$; (2) 不是, 证明略; (3) 证明略

10
工具/题号选题pdf生成.ipynb
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@ -2,16 +2,16 @@
"cells": [ "cells": [
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 3,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
"output_type": "stream", "output_type": "stream",
"text": [ "text": [
"开始编译教师版本pdf文件: 临时文件/简单题3_教师用_20221027.tex\n", "开始编译教师版本pdf文件: 临时文件/测验04统计_教师用_20221027.tex\n",
"0\n", "0\n",
"开始编译学生版本pdf文件: 临时文件/简单题3_学生用_20221027.tex\n", "开始编译学生版本pdf文件: 临时文件/测验04统计_学生用_20221027.tex\n",
"0\n" "0\n"
] ]
} }
@ -26,14 +26,14 @@
"\"\"\"---设置题目列表---\"\"\"\n", "\"\"\"---设置题目列表---\"\"\"\n",
"#留空为编译全题库, a为读取临时文件中的题号筛选.txt文件生成题库\n", "#留空为编译全题库, a为读取临时文件中的题号筛选.txt文件生成题库\n",
"problems = r\"\"\"\n", "problems = r\"\"\"\n",
"a\n", "001506,004125,002027,030152,004414,001013,003798,001253,001510,001515,004111,030153,001993,004240,003645,004116,004636,001494,004098,004424,004509\n",
"\n", "\n",
"\"\"\"\n", "\"\"\"\n",
"\"\"\"---设置题目列表结束---\"\"\"\n", "\"\"\"---设置题目列表结束---\"\"\"\n",
"\n", "\n",
"\"\"\"---设置文件名---\"\"\"\n", "\"\"\"---设置文件名---\"\"\"\n",
"#目录和文件的分隔务必用/\n", "#目录和文件的分隔务必用/\n",
"filename = \"临时文件/简单题3\"\n", "filename = \"临时文件/测验04统计\"\n",
"\"\"\"---设置文件名结束---\"\"\"\n", "\"\"\"---设置文件名结束---\"\"\"\n",
"\n", "\n",
"\n", "\n",

74
题库0.3/Problems.json
View File

@ -4744,7 +4744,7 @@
"第六单元" "第六单元"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{\\sqrt{6}}6$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -4868,7 +4868,7 @@
"第六单元" "第六单元"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) 证明略; (2) 证明略",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -7561,7 +7561,7 @@
"第六单元" "第六单元"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $\\dfrac\\pi 3$; (2) $\\dfrac 56$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -26553,7 +26553,7 @@
"第一单元" "第一单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\{(\\dfrac{3+\\sqrt{5}}2,\\dfrac{5+\\sqrt{5}}2),(\\dfrac{3-\\sqrt{5}}2,\\dfrac{5-\\sqrt{5}}2)\\}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -32977,7 +32977,7 @@
"第二单元" "第二单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$[0,\\dfrac 43]$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -39331,7 +39331,7 @@
"第三单元" "第三单元"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) 证明略; (2) $f(x)=98-x$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -39691,7 +39691,7 @@
"第三单元" "第三单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$-1$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -39805,7 +39805,7 @@
"第三单元" "第三单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$4\\pi$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -39955,7 +39955,7 @@
"第三单元" "第三单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$-4$或$2$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -43295,7 +43295,7 @@
"第六单元" "第六单元"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "B",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -44154,7 +44154,7 @@
"第六单元" "第六单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac\\pi 3$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -52770,7 +52770,7 @@
"第五单元" "第五单元"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "C",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -53883,7 +53883,7 @@
"第五单元" "第五单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac 8{25}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -88824,7 +88824,7 @@
"第六单元" "第六单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac\\pi 3$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -88979,7 +88979,7 @@
"第六单元" "第六单元"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) 证明略; (2) 当且仅当$\\theta=\\arcsin\\dfrac{\\sqrt{3}}3$时, 三角形$AEF$的面积最大, 最大值为$\\dfrac 12$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -89697,7 +89697,7 @@
"第六单元" "第六单元"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $\\arctan\\sqrt{2}$; (2) $\\dfrac\\pi 4$; (3) $\\sqrt{2}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -89815,7 +89815,7 @@
"第六单元" "第六单元"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $2$; (2) $\\arccos \\dfrac{\\sqrt{2}}4$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -90725,7 +90725,7 @@
"第五单元" "第五单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "以$(1,0)$为圆心, $3$为半径的圆",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -90777,7 +90777,7 @@
"第五单元" "第五单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\{4\\mathrm{i}\\}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -93498,7 +93498,7 @@
"第三单元" "第三单元"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "C",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -97065,7 +97065,7 @@
"第五单元" "第五单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac\\pi 3$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -99128,7 +99128,7 @@
"第六单元" "第六单元"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "D",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -103859,7 +103859,7 @@
"第六单元" "第六单元"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "B",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -104013,7 +104013,7 @@
"第三单元" "第三单元"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $AC=\\sqrt{7}\\text{km}$, $S_{ABCD}=2\\sqrt{3}\\text{km}^2$; (2) 当且仅当$P$位于弧$\\overset\\frown{ABC}$的中点时, 改造后的新建筑用地面积最大, 最大面积为$\\dfrac{9\\sqrt{3}}4\\text{km}^2$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -104353,7 +104353,7 @@
"第三单元" "第三单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$[\\dfrac 73,\\dfrac{13}3)$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -104496,7 +104496,7 @@
"第五单元" "第五单元"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "A",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -104740,7 +104740,7 @@
"第一单元" "第一单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$(0,1)$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -106163,7 +106163,7 @@
"第六单元" "第六单元"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $\\dfrac\\pi 3$; (2) $\\dfrac{\\sqrt{2}}2$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -107644,7 +107644,7 @@
"第三单元" "第三单元"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "D",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -112150,7 +112150,7 @@
"第一单元" "第一单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$(3,+\\infty)$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -112414,7 +112414,7 @@
"第二单元" "第二单元"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $(3,4]$; (2) $(0,1]$上的值域为$\\{1\\}$, $(1,2]$上的值域为$\\{3,4\\}$, $(2,3]$上的值域为$\\{7,8,9\\}$, $(0,n]$上的值域中含有的元素个数为$\\dfrac{n(n+1)}2$; (3) $(3,+\\infty)$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -114600,7 +114600,7 @@
"第二单元" "第二单元"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $[\\dfrac 12,+\\infty)$; (2) 不是, 证明略; (3) 证明略",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -117834,7 +117834,7 @@
"第二单元" "第二单元"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) 当$a>2$时, 解集为$(-\\infty,-2)\\cup (0,+\\infty)$; 当$a=2$时, 解集为$\\varnothing$; 当$a<2$时, 解集为$(-2,0)$; (2) $(-\\infty,\\dfrac {34}{15})$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -294896,7 +294896,7 @@
"第五单元" "第五单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac 12\\pm \\dfrac 12\\mathrm{i}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -294932,7 +294932,7 @@
"第五单元" "第五单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$3.985\\overrightarrow{OA}+1.690\\overrightarrow{OB}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -295399,7 +295399,7 @@
"第五单元" "第五单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$2$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -297824,7 +297824,7 @@
"第五单元" "第五单元"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$5$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [