diff --git a/工具/讲义生成.ipynb b/工具/讲义生成.ipynb index 7e417769..3a031540 100644 --- a/工具/讲义生成.ipynb +++ b/工具/讲义生成.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -13,11 +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", - "正在处理题块 3 .\n", - "题块 3 处理完毕.\n", - "开始编译教师版本pdf文件: 临时文件/线上测验01_ver2_教师_20221016.tex\n", + "开始编译教师版本pdf文件: 临时文件/24_体积及表面积的计算_教师_20221017.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/线上测验01_ver2_学生_20221016.tex\n", + "开始编译学生版本pdf文件: 临时文件/24_体积及表面积的计算_学生_20221017.tex\n", "0\n" ] } @@ -30,19 +28,19 @@ "\"\"\"---设置模式结束---\"\"\"\n", "\n", "\"\"\"---设置模板文件名---\"\"\"\n", - "# template_file = \"模板文件/第一轮复习讲义模板.tex\"\n", - "template_file = \"模板文件/测验周末卷模板.tex\"\n", + "template_file = \"模板文件/第一轮复习讲义模板.tex\"\n", + "# template_file = \"模板文件/测验周末卷模板.tex\"\n", "# template_file = \"模板文件/日常选题讲义模板.tex\"\n", "\"\"\"---设置模板文件名结束---\"\"\"\n", "\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\",\"23\"),(\"标题文字待处理\",\"多面体及旋转体的概念与性质\")] \n", + "exec_list = [(\"标题数字待处理\",\"24\"),(\"标题文字待处理\",\"体积及表面积的计算\")] \n", "# enumi_mode = 0\n", "\n", "#2023届测验卷与周末卷\n", - "exec_list = [(\"标题替换\",\"线上测验01\")]\n", - "enumi_mode = 1\n", + "# exec_list = [(\"标题替换\",\"线上测验01\")]\n", + "# enumi_mode = 1\n", "\n", "#日常选题讲义\n", "# exec_list = [(\"标题文字待处理\",\"2022年国庆卷(易错题订正)\")] \n", @@ -51,15 +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/线上测验01_ver2\"\n", + "destination_file = \"临时文件/24_体积及表面积的计算\"\n", "\"\"\"---设置目标文件名结束---\"\"\"\n", "\n", "\n", "\"\"\"---设置题号数据---\"\"\"\n", "problems = [\n", - "\"382,1997,2011,2081,7042,30157,3841,30155,30154,3702\",\n", - "\"7065,2024\",\n", - "\"1884,1915,30156\"\n", + "\"10500,3475,9207,9211,9731,9400,9399,4994,9868,10524,9210,9720,202,10517,4196\",\n", + "\"10498,4084,215,411,11332,212,10499,10519,10522,9209,10515,201,10521\"\n", "]\n", "\"\"\"---设置题号数据结束---\"\"\"\n", "\n", diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index aab62dcb..9a14602f 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -5481,7 +5481,7 @@ }, "000215": { "id": "000215", - "content": "如图, 一个圆锥形的空杯子上放着一个半球形的冰激凌, 如果冰激凌融化了, 会溢出来吗?\n\\begin{center}\n \\begin{tikzpicture}[thick,>=latex]\n \\draw (-1,0) -- (0,-3) -- (1,0) arc (0:180:1) arc (180:360:1 and 0.25);\n \\draw [dashed] (0,-3) -- (0,1) (-1,0) -- (1,0) arc (0:180:1 and 0.25);\n \\draw [thin] (1,0) -- (1.6,0) (0,-3) -- (1.6,-3) (0,1) -- (1.6,1);\n \\draw [thin,<->] (1.3,0) -- (1.3,1);\n \\draw [thin,<->] (1.3,0) -- (1.3,-3);\n \\draw (1.5,0.5) node {\\rotatebox{90}{$4\\text{cm}$}};\n \\draw (1.5,-1.5) node {\\rotatebox{90}{$12\\text{cm}$}};\n \\end{tikzpicture}\n\\end{center}", + "content": "如图, 一个圆锥形的空杯子上放着一个半球形的冰激凌, 如果冰激凌融化了(不考虑融化带来的体积变化), 会溢出来吗?\n\\begin{center}\n \\begin{tikzpicture}[thick,>=latex]\n \\draw (-1,0) -- (0,-3) -- (1,0) arc (0:180:1) arc (180:360:1 and 0.25);\n \\draw [dashed] (0,-3) -- (0,1) (-1,0) -- (1,0) arc (0:180:1 and 0.25);\n \\draw [thin] (1,0) -- (1.6,0) (0,-3) -- (1.6,-3) (0,1) -- (1.6,1);\n \\draw [thin,<->] (1.3,0) -- (1.3,1);\n \\draw [thin,<->] (1.3,0) -- (1.3,-3);\n \\draw (1.5,0.5) node {\\rotatebox{90}{$4\\text{cm}$}};\n \\draw (1.5,-1.5) node {\\rotatebox{90}{$12\\text{cm}$}};\n \\end{tikzpicture}\n\\end{center}", "objs": [ "K0619003B", "K0623002B" @@ -5494,9 +5494,10 @@ "solution": "", "duration": -1, "usages": [], - "origin": "教材复习题", + "origin": "教材复习题--20221017修改", "edit": [ - "20220624\t王伟叶, 余利成" + "20220624\t王伟叶, 余利成", + "20221017\t周双" ], "same": [], "related": [], @@ -220739,7 +220740,7 @@ }, "009210": { "id": "009210", - "content": "如图, 已知一个圆锥的底面半径为$2$, 高为$2$, 且在这个圆锥中有一个高为$x$的圆柱.\\\\\n(1) 写出此圆柱的侧面积表达式;\\\\\n(2) 当$x$为何值时, 此圆柱的侧面积最大?\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\filldraw (0,0) circle (0.03);\n\\draw [dashed] (0,0) ellipse (1 and 0.25);\n\\draw [dashed] (0,1) ellipse (1 and 0.25);\n\\draw [dashed] (-1,0) -- (-1,1) (1,0) -- (1,1);\n\\draw [dashed] (-2,0) arc (180:0:2 and 0.5);\n\\draw (-2,0) arc (180:360:2 and 0.5);\n\\draw (-2,0) -- (0,2) -- (2,0);\n\\draw (1.1,0) -- (2.4,0) (1.1,1) -- (2.4,1);\n\\draw [->] (2.2,0.3) -- (2.2,0);\n\\draw [->] (2.2,0.7) -- (2.2,1);\n\\draw (2.2,0.5) node {$x$};\n\\draw (0,2.1) -- (0,2.5) (-2,2.1) -- (-2,2.5);\n\\draw [->] (-1.2,2.3) -- (-2,2.3);\n\\draw [->] (-0.8,2.3) -- (0,2.3);\n\\draw (-1,2.3) node {$2$};\n\\draw (-2.1,0) -- (-2.5,0) (-2.1,2) -- (-2.5,2);\n\\draw [->] (-2.3,1.2) -- (-2.3,2);\n\\draw [->] (-2.3,0.8) -- (-2.3,0);\n\\draw (-2.3,1) node {$2$};\n\\end{tikzpicture}\n\\end{center}", + "content": "如图, 已知一个圆锥的底面半径为$2$, 高为$2$, 且在这个圆锥中有一个高为$x$的圆柱, 圆柱的上底面与圆锥底面所在平面平行, 且上底面圆周上的点都在圆锥的的侧面上.\\\\\n(1) 写出此圆柱的侧面积表达式;\\\\\n(2) 当$x$为何值时, 此圆柱的侧面积最大?\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\filldraw (0,0) circle (0.03);\n\\draw [dashed] (0,0) ellipse (1 and 0.25);\n\\draw [dashed] (-1,1) arc (180:0:1 and 0.25);\n\\draw (-1,1) arc (180:360:1 and 0.25);\n\\draw [dashed] (-1,0) -- (-1,1) (1,0) -- (1,1);\n\\draw [dashed] (-2,0) arc (180:0:2 and 0.5);\n\\draw (-2,0) arc (180:360:2 and 0.5);\n\\draw (-2,0) -- (0,2) -- (2,0);\n\\draw (1.1,0) -- (2.4,0) (1.1,1) -- (2.4,1);\n\\draw [->] (2.2,0.3) -- (2.2,0);\n\\draw [->] (2.2,0.7) -- (2.2,1);\n\\draw (2.2,0.5) node {$x$};\n\\draw (0,2.1) -- (0,2.5) (-2,2.1) -- (-2,2.5);\n\\draw [->] (-1.2,2.3) -- (-2,2.3);\n\\draw [->] (-0.8,2.3) -- (0,2.3);\n\\draw (-1,2.3) node {$2$};\n\\draw (-2.1,0) -- (-2.5,0) (-2.1,2) -- (-2.5,2);\n\\draw [->] (-2.3,1.2) -- (-2.3,2);\n\\draw [->] (-2.3,0.8) -- (-2.3,0);\n\\draw (-2.3,1) node {$2$};\n\\end{tikzpicture}\n\\end{center}", "objs": [ "K0617006B" ], @@ -220751,9 +220752,10 @@ "solution": "", "duration": -1, "usages": [], - "origin": "二期课改练习册高三", + "origin": "二期课改练习册高三-20221017修改", "edit": [ - "20220726\t王伟叶" + "20220726\t王伟叶", + "20221017\t周双" ], "same": [], "related": [], @@ -224821,7 +224823,7 @@ }, "009399": { "id": "009399", - "content": "在球内有相距$9\\text{cm}$的两个平行的截面. 若两截面圆为球的小圆时, 其面积分别为$49\\pi \\text{cm}^2$、$400\\pi \\text{cm}^2$, 求此球的表面积及体积.", + "content": "在球内有相距$9$的两个平行的截面. 若两截面圆为球的小圆时, 其面积分别为$49\\pi$、$400\\pi$, 求此球的表面积及体积.", "objs": [ "K0622005B", "K0623002B", @@ -224835,9 +224837,10 @@ "solution": "", "duration": -1, "usages": [], - "origin": "二期课改练习册高三", + "origin": "二期课改练习册高三--20221017修改", "edit": [ - "20220726\t王伟叶" + "20220726\t王伟叶", + "20221017\t周双" ], "same": [], "related": [], @@ -224846,7 +224849,7 @@ }, "009400": { "id": "009400", - "content": "已知圆锥的母线$l$与底面成$45^\\circ$角, 这个圆锥的体积为$9\\pi \\text{cm}^3$, 求这个圆锥的高$h$及侧面积.", + "content": "已知圆锥的母线$l$与底面成$45^\\circ$角, 这个圆锥的体积为$9\\pi$, 求这个圆锥的高$h$及侧面积.", "objs": [ "K0617006B", "K0619003B" @@ -224859,9 +224862,10 @@ "solution": "", "duration": -1, "usages": [], - "origin": "二期课改练习册高三", + "origin": "二期课改练习册高三--20221017修改", "edit": [ - "20220726\t王伟叶" + "20220726\t王伟叶", + "20221017\t周双" ], "same": [], "related": [], @@ -235292,7 +235296,7 @@ }, "009868": { "id": "009868", - "content": "已知三棱锥$ABCD$的三条侧棱$AB$、$AC$、$AD$两两垂直, 且$|AB|=1$, $|AC|=2$, $|AD|=3$. 求顶点$A$到平面$BCD$的距离.", + "content": "已知三棱锥$A-BCD$的三条侧棱$AB$、$AC$、$AD$两两垂直, 且$|AB|=1$, $|AC|=2$, $|AD|=3$. 求顶点$A$到平面$BCD$的距离.", "objs": [ "K0619004B" ], @@ -250069,7 +250073,7 @@ }, "010515": { "id": "010515", - "content": "在三棱锥$PABC$中, 已知$PA=PB=PC=1$, $AB=\\sqrt 2$, $BC=1$, $AC=\\sqrt 3$. 求该三棱锥底面$ABC$上的高与三棱锥的体积.", + "content": "在三棱锥$P-ABC$中, 已知$PA=PB=PC=1$, $AB=\\sqrt 2$, $BC=1$, $AC=\\sqrt 3$. 求该三棱锥底面$ABC$上的高与三棱锥的体积.", "objs": [ "K0619004B" ],