解题方法
1 . 《九章算术》作为中国古代数学专著之一,在其“商功”篇内记载:“斜解立方,得两堑堵.斜解堑堵,其一为阳马,一为鳖臑.”鳖臑是我国古代数学对四个面均为直角三角形的四面体的统称.如图所示,
是长方体.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/6a84f643-7a0a-48be-a06e-2c4d86274256.png?resizew=133)
(1)求证:三棱锥
为鳖臑;
(2)若
,
,
,求三棱锥
的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/6a84f643-7a0a-48be-a06e-2c4d86274256.png?resizew=133)
(1)求证:三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d38593653bedb845ecfa820806a29a1e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d38593653bedb845ecfa820806a29a1e.png)
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