1 . 四棱锥
的三视图如图所示,平面
过点
且与侧棱
垂直,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/258d163a-7625-42b8-8255-b8df8f1cc70e.png?resizew=164)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/258d163a-7625-42b8-8255-b8df8f1cc70e.png?resizew=164)
A.该四棱锥的表面积为![]() |
B.该四棱锥的侧面与底面所成角的余弦值为![]() |
C.平面![]() ![]() |
D.平面![]() ![]() |
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2 . 三棱锥
的三视图如图,图中所示顶点为棱锥对应顶点的投影,正视图与侧视图是全等的等腰直角三角形,俯视图是边长为
的正方形,则( )
![](https://img.xkw.com/dksih/QBM/2021/4/15/2700566208012288/2700827360698368/STEM/2f0a7092-7822-4dc9-b7d8-fbd2b3eee898.png?resizew=254)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://img.xkw.com/dksih/QBM/2021/4/15/2700566208012288/2700827360698368/STEM/2f0a7092-7822-4dc9-b7d8-fbd2b3eee898.png?resizew=254)
A.该棱锥各面都是直角三角形 | B.直线![]() ![]() ![]() |
C.点![]() ![]() ![]() | D.该棱锥的外接球的表面积为![]() |
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解题方法
3 . 已知某三棱锥的三视图如图所示,则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/2020/8/14/2527905669095424/2540450545754112/STEM/62d5678f4884464d9774adbce6c57be9.png?resizew=176)
![](https://img.xkw.com/dksih/QBM/2020/8/14/2527905669095424/2540450545754112/STEM/62d5678f4884464d9774adbce6c57be9.png?resizew=176)
A.该三棱锥的所有棱长都相等 |
B.该三棱锥的体积为![]() |
C.该三棱锥的外接球表面积为![]() |
D.该三棱锥内任意一点到各个面的距离之和等于它的高 |
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