我国古代数学名著《九章算术》对立体几何也有深入的研究,从其中的一些数学用语可见,譬如“堑堵”意指底面为直角三角形,且侧棱垂直于底面的三棱柱,“阳马”指底面是矩形且有一侧棱垂直于底面的四棱锥,“鳖臑”指的是四个面都是直角三角形的三棱锥,现有一如图所示的“堑堵”即三棱柱
,其中
若
,当“阳马”即四棱锥
的体积最大时,“堑堵”即三棱柱
的外接球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
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更新时间:2022-08-19 16:51:51
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【推荐1】在空间直角坐标系
中,已知圆
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