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[几何] 求几何体的体积

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hyperbola98 posted 2016-5-11 13:22 |Read mode
棱长为2的正方体ABCD-A1B1C1D1,E为DD1的中点,求几何体C1EABCD的体积。请问是8/3还是10/3,要考虑几何体的凹凸吗?

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realnumber posted 2016-5-11 13:51
觉得题目没说清楚

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kuing posted 2016-5-11 14:22
嗯,仅用顶点来表示的话,确实不能很好地描述一个几何体。
下面两种几何体如果仅用顶点表示则都是 $C_1EABCD$,不难判断前者凹后者凸。

QQ截图20160511142235.png

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original poster hyperbola98 posted 2016-5-12 07:42
谢谢,所以我发现高考出到这一类题都画出了图形,我现在可以告诉我的学生两个都对。

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