20231019两题题面修订MAO
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"000203": {
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"id": "000203",
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"content": "已知用通过圆锥的轴的平面去截一个圆锥, 得到的截面是面积为$9\\sqrt 3\\text{cm}^2$的正三角形. 求此圆锥内接球的半径.",
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"content": "已知用通过圆锥的轴的平面去截一个圆锥, 得到的截面是面积为$9\\sqrt 3\\text{cm}^2$的正三角形. 求此圆锥内切球的半径.",
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"objs": [
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"K0618005B",
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"K0622001B"
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},
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"030158": {
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"id": "030158",
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"content": "在底面边长为$1$的正三棱锥$P-ABC$中, 二面角$P-AB-C$为$\\dfrac{\\pi}{3}$, $G$是侧面$PAB$的重心, $H$是侧面$PAC$的重心, 则$GH$的长为\\blank{80}.",
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"content": "在底面边长为$1$的正三棱锥$P-ABC$中, $G$是侧面$PAB$的重心, $H$是侧面$PAC$的重心, 则$GH$的长为\\blank{80}.",
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"objs": [],
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"tags": [
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"第六单元",
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