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棱台体积公式推导过程

更新时间： 2021-05-07 04:41:21

1、体积公式推导由相似三角形可得b/h1=a/(h1+h2)，所以h1=bh2/(a-b)。

2、V台=a^2(h1+h2)/3-b^2*h1/3=h1(a^2-b^2)/3+h2*a^2/3=(a+b)*b*h2/3+a^2*h2/3=（a^2+b^2+ab）*h2/3。

3、得出正四棱台体积公式V=H/3[S1+S2+√(S1S2)]。

关键词：棱台体积公式推导过程

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