20221017 night
This commit is contained in:
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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": 1,
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"metadata": {},
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"outputs": [
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{
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@ -13,11 +13,9 @@
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"题块 1 处理完毕.\n",
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"正在处理题块 2 .\n",
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"题块 2 处理完毕.\n",
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"正在处理题块 3 .\n",
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"题块 3 处理完毕.\n",
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"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",
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"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",
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"0\n",
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"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",
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"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",
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"0\n"
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]
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}
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@ -30,19 +28,19 @@
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"\"\"\"---设置模式结束---\"\"\"\n",
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"\n",
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"\"\"\"---设置模板文件名---\"\"\"\n",
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"# template_file = \"模板文件/第一轮复习讲义模板.tex\"\n",
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"template_file = \"模板文件/测验周末卷模板.tex\"\n",
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"template_file = \"模板文件/第一轮复习讲义模板.tex\"\n",
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"# template_file = \"模板文件/测验周末卷模板.tex\"\n",
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"# template_file = \"模板文件/日常选题讲义模板.tex\"\n",
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"\"\"\"---设置模板文件名结束---\"\"\"\n",
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"\n",
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"\"\"\"---设置其他预处理替换命令---\"\"\"\n",
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"#2023届第一轮讲义更换标题\n",
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"# 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",
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"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",
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"# enumi_mode = 0\n",
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"\n",
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"#2023届测验卷与周末卷\n",
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"exec_list = [(\"标题替换\",\"线上测验01\")]\n",
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"enumi_mode = 1\n",
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"# exec_list = [(\"标题替换\",\"线上测验01\")]\n",
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"# enumi_mode = 1\n",
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"\n",
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"#日常选题讲义\n",
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"# exec_list = [(\"标题文字待处理\",\"2022年国庆卷(易错题订正)\")] \n",
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@ -51,15 +49,14 @@
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"\"\"\"---其他预处理替换命令结束---\"\"\"\n",
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"\n",
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"\"\"\"---设置目标文件名---\"\"\"\n",
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"destination_file = \"临时文件/线上测验01_ver2\"\n",
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"destination_file = \"临时文件/24_体积及表面积的计算\"\n",
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"\"\"\"---设置目标文件名结束---\"\"\"\n",
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"\n",
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"\n",
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"\"\"\"---设置题号数据---\"\"\"\n",
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"problems = [\n",
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"\"382,1997,2011,2081,7042,30157,3841,30155,30154,3702\",\n",
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"\"7065,2024\",\n",
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"\"1884,1915,30156\"\n",
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"\"10500,3475,9207,9211,9731,9400,9399,4994,9868,10524,9210,9720,202,10517,4196\",\n",
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"\"10498,4084,215,411,11332,212,10499,10519,10522,9209,10515,201,10521\"\n",
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"]\n",
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"\"\"\"---设置题号数据结束---\"\"\"\n",
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"\n",
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@ -5481,7 +5481,7 @@
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},
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"000215": {
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"id": "000215",
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"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}",
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"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}",
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"objs": [
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"K0619003B",
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"K0623002B"
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@ -5494,9 +5494,10 @@
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"solution": "",
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"duration": -1,
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"usages": [],
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"origin": "教材复习题",
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"origin": "教材复习题--20221017修改",
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"edit": [
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"20220624\t王伟叶, 余利成"
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"20220624\t王伟叶, 余利成",
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"20221017\t周双"
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],
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"same": [],
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"related": [],
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@ -220739,7 +220740,7 @@
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},
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"009210": {
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"id": "009210",
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"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}",
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"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}",
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"objs": [
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"K0617006B"
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],
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@ -220751,9 +220752,10 @@
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"solution": "",
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"duration": -1,
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"usages": [],
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"origin": "二期课改练习册高三",
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"origin": "二期课改练习册高三-20221017修改",
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"edit": [
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"20220726\t王伟叶"
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"20220726\t王伟叶",
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"20221017\t周双"
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],
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"same": [],
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"related": [],
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@ -224821,7 +224823,7 @@
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},
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"009399": {
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"id": "009399",
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"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.",
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"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.",
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"objs": [
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"K0622005B",
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"K0623002B",
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@ -224835,9 +224837,10 @@
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"solution": "",
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"duration": -1,
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"usages": [],
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"origin": "二期课改练习册高三",
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"origin": "二期课改练习册高三--20221017修改",
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"edit": [
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"20220726\t王伟叶"
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"20220726\t王伟叶",
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"20221017\t周双"
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],
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"same": [],
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"related": [],
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@ -224846,7 +224849,7 @@
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},
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"009400": {
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"id": "009400",
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"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.",
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"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.",
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"objs": [
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"K0617006B",
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"K0619003B"
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@ -224859,9 +224862,10 @@
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"solution": "",
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"duration": -1,
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"usages": [],
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"origin": "二期课改练习册高三",
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"origin": "二期课改练习册高三--20221017修改",
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"edit": [
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"20220726\t王伟叶"
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"20220726\t王伟叶",
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"20221017\t周双"
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],
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"same": [],
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"related": [],
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@ -235292,7 +235296,7 @@
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},
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"009868": {
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"id": "009868",
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"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.",
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"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.",
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"objs": [
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"K0619004B"
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],
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@ -250069,7 +250073,7 @@
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},
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"010515": {
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"id": "010515",
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"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.",
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"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.",
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"objs": [
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"K0619004B"
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],
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