在三棱锥
中,
,
,则该三棱锥的外接球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd566cdad7f77b7fcda2c558679233a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2574b6b77481c7b1c0be9148f6905dce.png)
A.![]() | B.![]() | C.![]() | D.![]() |
2024·陕西商洛·模拟预测 查看更多[3]
更新时间:2024-06-02 18:15:41
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解题方法
【推荐1】已知
,
,
在球
的球面上,
,
,
,直线
与截面
所成的角为
,则球
的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fffa3d9c32da53b0ea0c338012ea20c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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【推荐2】在如图所示的空间几何体中,下面的长方体
的三条棱长
,
,上面的四棱锥
中
,
,
,则过五点
、
、
、
、
的外接球的表面积为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/d79308e4-c1c7-43d7-9819-187106662264.png?resizew=235)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5441d73845911db1993bf903c4d8700f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724625d4f91f0e48712d6d143a6389b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd89f6119678693bfbcf5131a48e5c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084b8492826b93a75b1392d70597c371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79012f04b8cc315d382edf4f953c06f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/d79308e4-c1c7-43d7-9819-187106662264.png?resizew=235)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】已知平面四边形ABCD,连接对角线BD,得到等边三角形ABD和直角三角形BCD,且
,
,
,将平面四边形ABCD沿对角线BD翻折,得到四面体
,则当四面体
的体积最大时,该四面体的外接球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1287090703aac6d26361c4212862bcb9.png)
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A.12π | B.18π | C.21π | D.28π |
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【推荐2】已知四棱锥
的底面是边长为2的正方形,侧棱长都等于2,则该四棱锥的内切球的表面积为( )
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A.![]() | B.![]() | C.![]() | D.![]() |
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