diff --git a/工具/寻找阶段末尾空闲题号.ipynb b/工具/寻找阶段末尾空闲题号.ipynb index 4a9b537b..da4dc8e5 100644 --- a/工具/寻找阶段末尾空闲题号.ipynb +++ b/工具/寻找阶段末尾空闲题号.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 14, + "execution_count": 1, "metadata": {}, "outputs": [ { diff --git a/工具/添加题目到数据库.ipynb b/工具/添加题目到数据库.ipynb index 41a8aa28..2b1421ad 100644 --- a/工具/添加题目到数据库.ipynb +++ b/工具/添加题目到数据库.ipynb @@ -2,14 +2,14 @@ "cells": [ { "cell_type": "code", - "execution_count": 19, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "#修改起始id,出处,文件名\n", - "starting_id = 21365\n", - "origin = \"2024届高二校本作业选择性必修第五章\"\n", - "filename = r\"C:\\Users\\weiye\\Documents\\wwy sync\\临时工作区\\高二选必第五章.tex\"\n", + "starting_id = 30515\n", + "origin = \"空中课堂选择性必修分布与成对数据补充习题\"\n", + "filename = r\"C:\\Users\\weiye\\Documents\\wwy sync\\临时工作区\\自拟题目.tex\"\n", "editor = \"20230101\\t王伟叶\"" ] }, diff --git a/工具/识别题库中尚未标注的题目类型.ipynb b/工具/识别题库中尚未标注的题目类型.ipynb index aa78cc61..62ce38c6 100644 --- a/工具/识别题库中尚未标注的题目类型.ipynb +++ b/工具/识别题库中尚未标注的题目类型.ipynb @@ -2,423 +2,32 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "021031 解答题\n", - "021032 解答题\n", - "021033 解答题\n", - "021034 解答题\n", - "021035 解答题\n", - "021036 解答题\n", - "021037 解答题\n", - "021038 解答题\n", - "021039 解答题\n", - "021040 解答题\n", - "021041 解答题\n", - "021042 解答题\n", - "021043 解答题\n", - "021044 解答题\n", - "021045 解答题\n", - "021046 解答题\n", - "021047 解答题\n", - "021048 解答题\n", - "021049 解答题\n", - "021050 解答题\n", - "021051 解答题\n", - "021052 解答题\n", - "021053 解答题\n", - "021054 解答题\n", - "021055 解答题\n", - "021056 填空题\n", - "021057 解答题\n", - "021058 填空题\n", - "021059 解答题\n", - "021060 解答题\n", - "021061 解答题\n", - "021062 解答题\n", - "021063 解答题\n", - "021064 解答题\n", - "021065 解答题\n", - "021066 解答题\n", - "021067 解答题\n", - "021068 解答题\n", - "021069 解答题\n", - "021070 解答题\n", - "021071 解答题\n", - "021072 解答题\n", - "021073 解答题\n", - "021074 解答题\n", - "021075 解答题\n", - "021076 解答题\n", - "021077 填空题\n", - "021078 解答题\n", - "021079 解答题\n", - "021080 解答题\n", - "021081 解答题\n", - "021082 解答题\n", - "021083 解答题\n", - "021084 解答题\n", - "021085 解答题\n", - "021086 解答题\n", - "021087 解答题\n", - "021088 解答题\n", - "021089 解答题\n", - "021090 解答题\n", - "021091 解答题\n", - "021092 解答题\n", - "021093 解答题\n", - "021094 解答题\n", - "021095 解答题\n", - "021096 解答题\n", - "021097 解答题\n", - "021098 解答题\n", - "021099 解答题\n", - "021100 解答题\n", - "021101 解答题\n", - "021102 解答题\n", - "021103 解答题\n", - "021104 解答题\n", - "021105 解答题\n", - "021106 解答题\n", - "021107 解答题\n", - "021108 解答题\n", - "021109 选择题\n", - "021110 解答题\n", - "021111 解答题\n", - "021112 解答题\n", - "021113 解答题\n", - "021114 解答题\n", - "021115 解答题\n", - "021116 解答题\n", - "021117 解答题\n", - "021118 填空题\n", - "021119 解答题\n", - "021120 解答题\n", - "021121 解答题\n", - "021122 解答题\n", - "021123 解答题\n", - "021124 解答题\n", - "021125 解答题\n", - "021126 解答题\n", - "021127 解答题\n", - "021128 解答题\n", - "021129 解答题\n", - "021130 解答题\n", - "021131 解答题\n", - "021132 解答题\n", - "021133 解答题\n", - "021134 选择题\n", - "021135 解答题\n", - "021136 解答题\n", - "021137 解答题\n", - "021138 解答题\n", - "021139 解答题\n", - "021140 解答题\n", - "021141 选择题\n", - "021142 选择题\n", - "021143 选择题\n", - "021144 选择题\n", - "021145 填空题\n", - "021146 解答题\n", - "021147 填空题\n", - "021148 解答题\n", - "021149 填空题\n", - "021150 填空题\n", - "021151 填空题\n", - "021152 解答题\n", - "021153 解答题\n", - "021154 填空题\n", - "021155 选择题\n", - "021156 填空题\n", - "021157 选择题\n", - "021158 填空题\n", - "021159 解答题\n", - "021160 解答题\n", - "021161 解答题\n", - "021162 解答题\n", - "021163 解答题\n", - "021164 选择题\n", - "021165 填空题\n", - "021166 填空题\n", - "021167 填空题\n", - "021168 填空题\n", - "021169 解答题\n", - "021170 解答题\n", - "021171 解答题\n", - "021172 选择题\n", - "021173 填空题\n", - "021174 填空题\n", - "021175 解答题\n", - "021176 解答题\n", - "021177 选择题\n", - "021178 解答题\n", - "021179 填空题\n", - "021180 选择题\n", - "021181 解答题\n", - "021182 解答题\n", - "021183 选择题\n", - "021184 填空题\n", - "021185 填空题\n", - "021186 填空题\n", - "021187 填空题\n", - "021188 填空题\n", - "021189 解答题\n", - "021190 解答题\n", - "021191 解答题\n", - 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"021360 解答题\n", - "021361 解答题\n", - "021362 解答题\n", - "021363 解答题\n", - "021364 解答题\n", - "021365 填空题\n", - "021366 填空题\n", - "021367 填空题\n", - "021368 填空题\n", - "021369 选择题\n", - "021370 解答题\n", - "021371 解答题\n", - "021372 解答题\n", - "021373 解答题\n", - "021374 解答题\n", - "021375 填空题\n", - "021376 填空题\n", - "021377 解答题\n", - "021378 解答题\n", - "021379 解答题\n", - "021380 解答题\n", - "021381 解答题\n", - "021382 解答题\n", - "021383 解答题\n", - "021384 填空题\n", - "021385 填空题\n", - "021386 填空题\n", - "021387 填空题\n", - "021388 选择题\n", - "021389 解答题\n", - "021390 解答题\n", - "021391 解答题\n", - "021392 解答题\n", - "021393 填空题\n", - "021394 填空题\n", - "021395 填空题\n", - "021396 填空题\n", - "021397 填空题\n", - "021398 解答题\n", - "021399 解答题\n", - "021400 解答题\n", - "021401 解答题\n", - "021402 填空题\n", - "021403 填空题\n", - "021404 解答题\n", - "021405 解答题\n", - "021406 解答题\n", - "021407 解答题\n", - "021408 解答题\n", - "021409 解答题\n", - "021410 解答题\n", - "021411 解答题\n", - "021412 解答题\n", - "021413 解答题\n", - "021414 解答题\n", - "021415 解答题\n", - "021416 解答题\n", - "021417 解答题\n", - "021418 填空题\n", - "021419 填空题\n", - "021420 填空题\n", - "021421 填空题\n", - "021422 解答题\n", - "021423 解答题\n", - "021424 解答题\n", - "021425 解答题\n", - "021426 解答题\n", - "021427 解答题\n", - "021428 解答题\n", - "021429 解答题\n", - "021430 填空题\n", - "021431 填空题\n", - "021432 解答题\n", - "021433 解答题\n", - "021434 解答题\n", - "021435 解答题\n", - "021436 解答题\n", - "021437 解答题\n", - "021438 解答题\n", - "021439 解答题\n", - "021440 解答题\n" + "030515 选择题\n", + "030516 选择题\n", + "030517 解答题\n", + "030518 解答题\n", + "030519 解答题\n", + "030520 解答题\n", + "030521 解答题\n", + "030522 解答题\n", + "030523 解答题\n", + "030524 解答题\n", + "030525 解答题\n", + "030526 解答题\n", + "030527 填空题\n", + "030528 填空题\n", + "030529 解答题\n", + "030530 解答题\n", + "030531 解答题\n", + "030532 解答题\n", + "030533 解答题\n" ] } ], diff --git a/文本处理工具/表格整理.ipynb b/文本处理工具/表格整理.ipynb index c13373f1..d5b5d97b 100644 --- a/文本处理工具/表格整理.ipynb +++ b/文本处理工具/表格整理.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -18,7 +18,7 @@ "\n", "\n", "with open(\"临时文件/textfile.txt\", \"r\", encoding = \"utf8\") as textfile:\n", - " data = textfile.read()\n", + " data = textfile.read().strip()\n", "\n", "data1 = \"\"\n", "for c in data:\n", @@ -68,7 +68,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 ('base')", + "display_name": "mathdept", "language": "python", "name": "python3" }, @@ -82,12 +82,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.8" + "version": "3.9.15" }, "orig_nbformat": 4, "vscode": { "interpreter": { - "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac" + "hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc" } } }, diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 9b8e4463..7b735586 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -356895,5 +356895,366 @@ "related": [], "remark": "", "space": "12ex" + }, + "030515": { + "id": "030515", + "content": "已知随机变量$X$服从正态分布$N(\\mu, \\sigma^2)$($\\sigma>0$), 且$P(X \\leq c)=P(X>c)$, 则$c$的值为\\bracket{20}.\n\\fourch{$0$}{$\\sigma$}{$-\\mu$}{$\\mu$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030516": { + "id": "030516", + "content": "设两个正态分布$N(\\mu_1, \\sigma_1^2)$($\\sigma_1>0$)和$N(\\mu_2, \\sigma_2^2)$($\\sigma_2>0$)的正态密度函数图像如图所示, 则\\bracket{20}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,0) -- (0,2.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -4:4,samples = 300] plot (\\x,{1/0.2/sqrt(2)/sqrt(pi)*exp(-pow(\\x+1,2)/2/0.2/0.2)});\n\\draw (-1,2) node [above] {$N(\\mu_1,\\sigma_1^2)$};\n\\draw [domain = -4:4,samples = 300] plot (\\x,{1/0.5/sqrt(2)/sqrt(pi)*exp(-pow(\\x-0.5,2)/2/0.5/0.5)});\n\\draw (0.5,1) node [above,fill = white] {$N(\\mu_2,\\sigma_2^2)$};\n\\end{tikzpicture}\n\\end{center}\n\\fourch{$\\mu_1<\\mu_2$, $\\sigma_1<\\sigma_2$}{$\\mu_1<\\mu_2$, $\\sigma_1>\\sigma_2$}{$\\mu_1>\\mu_2$, $\\sigma_1<\\sigma_2$}{$\\mu_1>\\mu_2$, $\\sigma_1>\\sigma_2$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030517": { + "id": "030517", + "content": "已知随机变量$X$服从正态分布$N(\\mu, \\sigma^2)$($\\sigma>0$), 求$P(\\mu \\leq X<\\mu+\\sigma)$的值. (结果精确到$0.1 \\%$)", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030518": { + "id": "030518", + "content": "已知某批零件的长度误差(单位: 毫米)服从正态分布$N(0,3^2)$, 从中随机取一件, 求长度误差落在区间$(3,6)$内的概率. (结果精确到$0.1 \\%$)", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030519": { + "id": "030519", + "content": "已知随机变量$X$服从正态分布$N(2, \\sigma^2)$($\\sigma>0$), 且$P(X<4)=a$, 求$P(X<0)$. (用$a$表示)", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030520": { + "id": "030520", + "content": "某批待出口的水果罐头每罐净重$X$(单位: $\\text{g}$)服从正态分布$N(184,2.5^2)$, 求:\\\\\n(1) 随机抽取一罐, 其净重不小于$191.5 \\text{g}$的概率;\\\\\n(2) 随机抽取一罐, 其净重在$179 \\text{g}$与$189 \\text{g}$之间的概率.(结果精确到$0.1 \\%$)", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030521": { + "id": "030521", + "content": "下表给出了一些地区鸟的种类数与该地区的海拔高度的数据, 试绘制散点图, 并通过观察散点图大致判断鸟的种类数与海拔高度之间的相关性.\n\\begin{center}\n\\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|}\n\\hline 地区 & A & B & C & D & E & F & G & H & I & J & K \\\\\n\\hline 海拔高度 /m & 1250 & 1158 & 1067 & 457 & 701 & 731 & 610 & 670 & 1493 & 762 & 549 \\\\\n\\hline 鸟的种类 / 种 & 36 & 30 & 37 & 11 & 11 & 13 & 17 & 13 & 29 & 4 & 15 \\\\\n\\hline\n\\end{tabular}\n\\end{center}", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030522": { + "id": "030522", + "content": "随机抽取某地区的 7 家超市, 得到其广告支出与销售额数据如下:\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|c|c|c|}\n\\hline 超市 & A & B & C & D & E & F & G \\\\\n\\hline 广告支出/万 & 1 & 2 & 4 & 6 & 10 & 14 & 20 \\\\\n\\hline 销售额 /万元 & 19 & 32 & 44 & 40 & 52 & 53 & 54 \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n请推断该地区超市的销售额与广告支出之间是否存在线性相关关系.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030523": { + "id": "030523", + "content": "随机抽取 10 家航空公司, 对其最近一年的航班正点率顾客投诉次数进行调查, 所得数据如下:\n\\begin{center}\n\\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|}\n\\hline 航空公司编 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\\\n\\hline 航班正点率/\\% &$81.8$&$76.8$&$76.6$&$75.7$&$73.8$&$72.2$&$71.2$&$70.8$&$91.4$&$68.5$\\\\\n\\hline 顾客投诉/次 & 21 & 58 & 85 & 68 & 74 & 93 & 72 & 122 & 18 & 125 \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n试判断航班正点率与顾客投诉次数之间是否存在线性相关关系.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030524": { + "id": "030524", + "content": "某地区的环境条件适合天鹅栖息繁衍. 有人发现了一个有趣的现象, 该地区有 5 个村庄, 其中 3 个村庄附近栖息的天鹅较多, 婴儿出生率也较高; 2 个村庄附近栖息的天鹅较少, 婴儿出生率也较低. 有人认为婴儿出生率和天㧴数之间存在相关关系, 并得出一个结论: 天鹅能够带来孩子. 你同意这个结论吗?", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030525": { + "id": "030525", + "content": "有人收集了某城市居民年收入(所有居民在一年内收入的总和)与$A$商品销售额的$10$年数据, 如下表所示:\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|}\n\\hline\n第$n$年 &$1$&$2$&$3$&$4$&$5$&$6$&$7$&$8$&$9$&$10$\\\\ \\hline\n居民收入/亿元 &$32.2$&$31.1$&$32.9$&$35.8$&$37.1$&$38.0$&$39.0$&$43.0$&$44.6$&$46.0$\\\\ \\hline\n$A$商品销售额/万元 &$25.0$&$30.0$&$34.0$&$37.0$&$39.0$&$41.0$&$42.0$&$44.0$&$48.0$&$51.0$\\\\ \\hline\n\\end{tabular}\n\\end{center}\n请画出散点图, 观察成对数据是否线性相关, 并通过计算相关系数判断``居民年收入'' 和``$A$商品销售额''的相关程度.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030526": { + "id": "030526", + "content": "对下面两组数据\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|c|c|}\n\\hline $x$ & 1 & 2 & 3 & 4 & 10 & 10 \\\\\n\\hline $y$ & 1 & 3 & 3 & 5 & 1 & 11 \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n计算相关系数, 大概在$0.5$左右. 通过观察散点图, 发现对这两组大部分数据来说, 变量$x$与$y$有很强的线性相关关系, 是什么因素导致相关系数只存$0.5$左右?", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030527": { + "id": "030527", + "content": "已知根据某样本数据可得到回归方程为$y=4 x+\\hat{b}$, 且$\\overline x=3$, $\\overline y=6$, 则$\\hat{b}=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030528": { + "id": "030528", + "content": "某小吃店的日盈利$y$(单位: 百元)与当天平均气温$x$(单位:$^{\\circ} \\text{C}$) 之间有如下数据:\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|c|}\n\\hline $x/^{\\circ} \\text{C}$&$-2$&$-1$& 0 & 1 & 2 \\\\\n\\hline $y$/百元 & 5 & 4 & 2 & 2 & 1 \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n甲、乙、丙$3$位同学对上述数据进行了分析, 发现$y$与$x$之间具有线性相关关系, 他们通过计算分别得到$3$个线性回归方程:\\\\\n\\textcircled{1} $y=-x+2.8$; \\textcircled{2} $y=-x+3$; \\textcircled{3} $y=-1.2 x+2.6$. 使得拟合误差$Q$取到最小值的方程是\\blank{50}(填序号).", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030529": { + "id": "030529", + "content": "气象部门由每天的最高气温的数据, 得到每月最高气温的平均数, 简称平均高温.表格是$2017$年$31$个城市$1$月和$7$月的平均高温数据(单位: $^\\circ\\text{C}$).\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|c|c|c|c|}\n\\hline\n城市 & 1月 & 7月 & 城市 & 1月& 7月& 城市 & 1月& 7月\\\\ \\hline\n北京 &$3$&$32$& 南京 &$9$&$35$& 成都 &$12$&$32$\\\\ \\hline\n南宁 &$20$&$33$& 重庆 &$12$&$36$& 上海 &$10$&$36$\\\\ \\hline\n福州 &$17$&$36$& 沈阳 &$-3$&$31$& 广州 &$21$&$33$\\\\ \\hline\n石家庄 &$3$&$33$& 贵阳 &$9$&$28$& 太原 &$3$&$32$\\\\ \\hline\n哈尔滨 &$-11$&$30$& 天津 &$3$&$33$& 海口 &$22$&$32$\\\\ \\hline\n乌鲁木齐 &$-3$&$32$& 杭州 &$11$&$36$& 武汉 &$10$&$34$\\\\ \\hline\n合肥 &$9$&$35$& 西安 &$8$&$36$& 呼和浩特 &$-3$&$30$\\\\ \\hline\n西宁 &$4$&$27$& 济南 &$6$&$33$& 银川 &$2$&$32$\\\\ \\hline\n昆明 &$17$&$24$& 长春 &$-8$&$29$& 拉萨 &$8$&$23$\\\\ \\hline\n长沙 &$11$&$35$& 兰州 &$5$&$33$& 郑州 &$7$&$34$\\\\ \\hline\n南昌 &$13$&$35$& & & & & & \\\\ \\hline\n\\end{tabular}\n\\end{center}\n(1)画出并观察各城市 1 月与 7 月的平均高温的散点图, 你认为 1 月平均高温$(x)$与 7 月的平均高温$(y)$有线性关系吅? 描述散点图的特点;\\\\\n(2) 结合地理知识并用统计方法分析表中的数据, 解释这两个月平均高温的关系.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030530": { + "id": "030530", + "content": "为了解小麦种子是否灭菌与小麦发生黑穗病的关系, 经试验观察, 得到如下数据. 根据这组数据, 能否认为发生黑穗病与种子是否灭菌有关?\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|}\n\\hline & 种子灭菌 & 种子未灭菌 & 总计 \\\\\n\\hline 有黑穗病 & 26 & 184 & 210 \\\\\n\\hline 无黑穗病 & 50 & 200 & 250 \\\\\n\\hline 总计 & 76 & 384 & 460 \\\\\n\\hline\n\\end{tabular}\n\\end{center}", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030531": { + "id": "030531", + "content": "一医疗团队为研究某地的一种地方性疾病与当地居民的卫生习惯 (卫生习惯分为良好与不够良好两类) 的关系, 在已患该疾病的病例中随机调查了 100 例 (称为病例组), 同时在未患该疾病的人群中随机调查了 100 人 (称为对照组), 得到如下数据:\n\\begin{center}\n\\begin{tabular}{|c|c|c|}\n\\hline\n& 不够良好 & 良好 \\\\ \\hline\n 病例组 & $40$&$60$\\\\ \\hline\n 对照组 & $10$&$90$ \\\\ \\hline\n\\end{tabular}\n\\end{center}\n试问: 能否认为患该疾病群体与未患该疾病群体的卫生习惯有差异?", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030532": { + "id": "030532", + "content": "一个随机抽样的样本包括 110 位女士和 90 位男士, 女士中约有$9 \\%$是左利手 (又称左撇子), 男士中约有$11 \\%$是左利手. 基于这些数据, 你认为左利手与性别有关吗? 为什么?", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" + }, + "030533": { + "id": "030533", + "content": "某儿童医院用甲、乙两种疗法治疗小儿消化不良. 采用简单随机抽样的方法对治疗情况进行检查, 得到了如下数据: 抽到接受甲种疗法的患儿$67$名, 其中未治愈$15$ 名, 治愈$52$名; 抽到接受乙种疗法的患儿$69$名, 其中未治愈$6$名, 治愈$63$名. 试分析甲、乙两种疗法的效果是否有差异.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂选择性必修分布与成对数据补充习题", + "edit": [ + "20230101\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "12ex" } } \ No newline at end of file