已知正四棱锥
的侧棱长为
,且二面角
的正切值为
,则它的外接球表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d294d69caac577339f11f477b2047e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2024-05-08 20:25:57
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相似题推荐
单选题
|
较难
(0.4)
名校
解题方法
【推荐1】已知三棱锥
中,
,
,
三点在以
为球心的球面上,若
,
,且三棱锥
的体积为
,则球
的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e918b70b02a73685e3c536c7f380e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】平行四边形
中,
,沿
将四边形折起成直二面角
,且
,则三棱锥
的外接球的表面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b0c4c783dd55685bd3e88bb31c6696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44b646951e22466337ba7ceb5c72da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccdaa0ce95c0c22db19fe7f5110d7818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c390503f214dfdbd5a9b6cb1455e30aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d52bca3223eb0a0beec9eaf594c497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfda732214cce8003b3d0900aa4a8b50.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】如图,棱长为2的正方体
中,P为线段
上动点(包括端点).则以下结论正确的为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/a5efef69-8452-47f8-9267-86c994b3aa62.png?resizew=168)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7ddbb49c644bf06ccbad885ba2c84a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db26fcb4380a58ac02012e836e47d0a1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/a5efef69-8452-47f8-9267-86c994b3aa62.png?resizew=168)
A.三棱锥![]() ![]() ![]() |
B.过点P平行于面![]() ![]() ![]() |
C.当点P为![]() ![]() ![]() |
D.直线![]() ![]() ![]() |
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解题方法
【推荐2】在平面四边形
中,
是边长为2的等边三角形,
为等腰三角形,且
,以
为折痕,将四边形折成一个
的二面角
,并且这个二面角的顶点
,
,
,
在同一个球面上,则这个球的球面面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2036191be2322003aaee6bb411868327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6037bba27008abc96a6dba99753549ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1854ba6cc92481d7a616bd2788a47e.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)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】过正四面体
的顶点
作截面,若满足①截面是等腰三角形;②截面与底面
成75°的二面角,这样的截面个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
A.6 | B.12 | C.18 | D.24 |
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【推荐2】边长为2的等边
和有一内角为
的直角
所在半平面构成
的二面角,则下列不可能是线段
的取值的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5429cc5aea77720f040ea5feb21f04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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