若三棱锥
的所有顶点都在球O的球面上,
平面
,且
,则球O的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf46cea78eb47a265abf1c2bc45d858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/693275b16fdb369d5aa5eb89a49a1b12.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
更新时间:2022-04-22 09:27:53
|
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【推荐1】已知一个三棱锥的三视图如图所示,其中三视图的长、宽、高分别为2,1,
,则此三棱锥外接球的表面积为
![](https://img.xkw.com/dksih/QBM/2018/5/30/1956543625879552/2021663913754624/STEM/5e090f68e4f4414fa54ebe892fec8de5.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/2018/5/30/1956543625879552/2021663913754624/STEM/5e090f68e4f4414fa54ebe892fec8de5.png?resizew=175)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】在
中,
分别为
三边中点,将
分别沿
向上折起,使
重合,记为
,则三棱锥
的外接球表面积的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f97083ea34380f66432a3c99c8f7ab84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0e08a39c6619123557148d195abfbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f7cd36dcd7b1c956070e63b0875550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf039ea0a4cd5bf14a33238956567602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b546177a1e3f9b5372e5971e1797fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c7667bc8f2910bca0ff13e494a4ab9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】如图,已知四棱柱
的底面为平行四边形,E,F,G分别为棱
的中点,则( )
![](https://img.xkw.com/dksih/QBM/2022/4/13/2957149219020800/2962482072272896/STEM/71220d2d-6e77-4bd8-b58f-f69da76c6141.png?resizew=218)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ef92425dcb553a585721522c904739c.png)
![](https://img.xkw.com/dksih/QBM/2022/4/13/2957149219020800/2962482072272896/STEM/71220d2d-6e77-4bd8-b58f-f69da76c6141.png?resizew=218)
A.直线![]() ![]() |
B.直线![]() ![]() |
C.直线![]() ![]() ![]() ![]() |
D.直线![]() ![]() ![]() ![]() |
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【推荐2】如图,已知正方体
的棱长为1,点M为棱
的中点,点P在正方形
的边界及其内部运动.给出以下四个结论:
①存在点P满足
;
②存在点P满足
;
③满足
的点P的轨迹长度为
;
④满足
的点P的轨迹长度为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/4ab3570d-dc10-4b47-8c55-9040da19f652.png?resizew=166)
其中正确的结论的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
①存在点P满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0aace589f614b7cfe067ba6f4b8aaa0.png)
②存在点P满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675d866087fa3fa7e069697fd1709b6.png)
③满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c16991a5a5fbe682091e2d7438ddc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
④满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c963323f3132ca62ba5b0b3aac66bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821309f088a175c00dc0f4828334503d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/4ab3570d-dc10-4b47-8c55-9040da19f652.png?resizew=166)
其中正确的结论的个数为( )
A.1 | B.2 | C.3 | D.4 |
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