已知四面体ABCD中,
,若四面体ABCD的外接球的表面积为7
,则四面体ABCD的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59102f6a07322ec488d98289131f0792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
A.1 | B.2 | C.![]() | D.![]() |
2024·重庆·模拟预测 查看更多[2]
更新时间:2024-06-06 12:48:40
|
相似题推荐
单选题
|
适中
(0.65)
解题方法
【推荐1】在三棱锥
中,
平面
,
,且
.若
,则当三棱锥
的体积最大时,
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846071242f981289741ad19f4e7190cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1371fe98a65d8ebd840c8d98346b6d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9da16aa4ed0069816323b188de404bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
单选题
|
适中
(0.65)
【推荐2】在三棱锥
中,
,
,
,则当该三棱锥的体积最大时,其外接球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc532cfe64300cb3da9e04a307c957a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8825d400f453c5c17a7beeb1cc9a9cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be41b05e11ba5eadaaed9a224b949774.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
单选题
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适中
(0.65)
名校
解题方法
【推荐1】在四面体
中,
,
,
,
,
,则四面体
外接球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a1f73190215b1c9d45a3dd9e6b66ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ebb33adb2310a6e03918761e68204a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edffb5733b26bab041a1e84927767398.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60bb2e3631f46fc8a24595efce01a92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
单选题
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适中
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名校
【推荐2】在边长为6的菱形
中,
,现将菱形
沿对角线BD折起,当
时,三棱锥
外接球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bbaccd578a43b2397c8bdd50592fa07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c740dab469d5f22fc798c7a2c4d009cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
单选题
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适中
(0.65)
名校
解题方法
【推荐1】在正三棱锥P-ABC中,PA,PB,PC两两垂直,
,点E在线段AB上,且
,过点E作该正三棱锥外接球的截面,则所得截面圆面积的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02c25b95e61557eec096de150ab873f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
单选题
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适中
(0.65)
解题方法
【推荐2】已知四面体ABCD的各顶点均在球
的球面上,平面
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11612cc1f5dd280e429a931fdbbbd09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1521f9ee2e0d2852a774327a9141f73.png)
,则球
的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11612cc1f5dd280e429a931fdbbbd09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1521f9ee2e0d2852a774327a9141f73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd6a2b112facda441f4e34bf5c145fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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