编辑23316题面(加图)
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"023316": {
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"023316": {
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"id": "023316",
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"id": "023316",
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"content": "如图, 用半径为 $10 \\sqrt{2}\\mathrm{cm}$, 面积为 $100 \\sqrt{2}\\pi \\mathrm{cm}^2$ 的扇形铁皮制作一个无盖的圆锥形容器 (衔接部分忽略不计), 该容器最多盛水多少? (结果精确到 $0.1 \\mathrm{cm}^3$)",
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"content": "如图, 用半径为 $10 \\sqrt{2}\\mathrm{cm}$, 面积为 $100 \\sqrt{2}\\pi \\mathrm{cm}^2$ 的扇形铁皮制作一个无盖的圆锥形容器 (衔接部分忽略不计), 该容器最多盛水多少? (结果精确到 $0.1 \\mathrm{cm}^3$)\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw ({-sqrt(2)/2*180+90}:1) arc ({-sqrt(2)/2*180+90}:{sqrt(2)/2*180+90}:1) -- (0,0) -- cycle;\n\\end{tikzpicture}\n\\hspace*{3em}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) --++ ({sqrt(3)/3},{sqrt(6)/3}) coordinate (S) (0,0) --++ ({-sqrt(3)/3},{sqrt(6)/3});\n\\draw (S) arc (0:360:{sqrt(3)/3} and {sqrt(3)/12});\n\\end{tikzpicture}\n\\end{center}",
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"objs": [],
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"objs": [],
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"tags": [],
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"tags": [],
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"genre": "解答题",
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"genre": "解答题",
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"usages": [],
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"usages": [],
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"origin": "25届周末卷补充题目",
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"origin": "25届周末卷补充题目",
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"edit": [
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"edit": [
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"20240107\t杨懿荔"
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"20240107\t杨懿荔",
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"20240110\t王伟叶"
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],
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],
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"same": [],
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"same": [],
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"related": [],
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"related": [],
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