20230206 afternoon
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parent
107eb71099
commit
e75c918649
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@ -2,7 +2,7 @@
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 3,
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"execution_count": 12,
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"metadata": {},
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"outputs": [
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{
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@ -11,7 +11,7 @@
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"0"
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]
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},
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"execution_count": 3,
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"execution_count": 12,
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"metadata": {},
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"output_type": "execute_result"
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}
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@ -19,7 +19,7 @@
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"source": [
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"import os,re,json\n",
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"\"\"\"这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭, 随后运行第二个代码块\"\"\"\n",
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"problems = \"002314,002318,002320,002327,002328,002329,002330,002335,013711,013731,013752,013758,013781,013800,013819,013837,013844,013859,013874,013887,013898,013910,013917,013930,013943,013954,013960,013976,013991,014004,014015,014022,014038,014050,014056,014069,014080,014094,014122,014144,014165,014184,014203,014223,014243,014266,014306,014324,014342,014360,030012,030013,030014\"\n",
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"problems = \"12757\"\n",
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"\n",
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"def generate_number_set(string,dict):\n",
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" string = re.sub(r\"[\\n\\s]\",\"\",string)\n",
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@ -2,7 +2,7 @@
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 10,
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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@ -30,6 +30,7 @@
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"modified_data = re.sub(r\"\\((\\d)\\)\",lambda x: \"\\\\textcircled{\"+x.group(1)+\"}\",data)\n",
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"# print(modified_data)\n",
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"modified_data = re.sub(r\"\\$\\\\textcircled\\{\\\\scriptsize\\{(\\d)\\}\\}\",lambda x: \"\\\\textcircled{\"+x.group(1)+\"}$\",modified_data)\n",
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"modified_data = re.sub(r\"\\\\textcircled\\{\\\\scriptsize\\{(\\d)\\}\\}\",lambda x: \"\\\\textcircled{\"+x.group(1)+\"}\",modified_data)\n",
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"\n",
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"\n",
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"setCopy(modified_data)\n",
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@ -48,7 +49,7 @@
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],
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"metadata": {
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"kernelspec": {
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"display_name": "mathdept",
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"display_name": "pythontest",
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"language": "python",
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"name": "python3"
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},
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"orig_nbformat": 4,
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"vscode": {
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"interpreter": {
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"hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc"
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"hash": "91219a98e0e9be72efb992f647fe78b593124968b75db0b865552d6787c8db93"
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}
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}
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},
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@ -315026,7 +315026,7 @@
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},
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"012757": {
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"id": "012757",
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"content": "为了节能环保, 节约材料、定义建筑物的 ``体形系数'' 为$S=\\dfrac{F_0}{V_0}$, 其中$F_0$为建筑物暴露在空气中的面积 (单位: 平方米), $V_0$为建筑物的体积 (单位: 立方米).\\\\\n(1) 若有一圆柱形建筑物的底面半径为$R$, 高度为$H$, 求该建筑物的 ``体形系数'';(结果用含$R$、$H$的代数式表示)\\\\\n(2) 定义建筑物的 ``形状因子'' 为$f=\\dfrac{L^2}A$, 其中$A$为底面面积, $L$为建筑底面周长, 又定义$T$为总建筑面积, 即为每层建筑面积总和 (每层建筑面积为每一层的底面面积). 现有一垂直于地面的宿舍, 该宿舍的层高为$3$米, 有$n$层, 其 ``形状因子''$f=18$, 总建筑面积为$T=10000$平方米. 试求当该宿舍的层数$n$为多少时, ``体形系数''$S$最小.",
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"content": "为了节能环保, 节约材料、定义建筑物的 ``体形系数'' 为$S=\\dfrac{F_0}{V_0}$, 其中$F_0$为建筑物暴露在空气中的面积 (单位: 平方米), $V_0$为建筑物的体积 (单位: 立方米).\\\\\n(1) 若有一圆柱形建筑物的底面半径为$R$, 高度为$H$, 求该建筑物的 ``体形系数'';(结果用含$R$、$H$的代数式表示)\\\\\n(2) 定义建筑物的 ``形状因子'' 为$f=\\dfrac{L^2}A$, 其中$A$为底面面积, $L$为建筑底面周长, 又定义$T$为总建筑面积, 即为每层建筑面积总和 (每层建筑面积为每一层的底面面积). 现有一垂直于地面的宿舍, 该宿舍的层高为$3$米, 有$n$层, 其 ``形状因子''$f=18$, 总建筑面积为$T=10000$平方米. 已知该建筑的``体形系数''$S=\\sqrt{\\dfrac{f \\cdot n}{T}}+\\dfrac{1}{3n}$, 试求当该宿舍的层数$n$为多少时, ``体形系数''$S$最小.",
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"objs": [],
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"tags": [
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"第六单元",
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