1 . 已知四面体
中,
,
,
,
为其外接球球心,
与
所成的角分别为
.有下列结论:
①该四面体的外接球的表面积为
②该四面体的体积为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
③
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d2d0bb744bb77e6f18f37f7df0490a.png)
其中所有正确结论的编号为:( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b2a8172c82942f49aa9e7615b67639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2d2145aa8d0e19b9e119d9adf2d4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9fa7c2419b647ad4c166f62ecdb681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766565857d28617cc4c2a26ecf76ec24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96a16f588bb515f8966f37ee37b5d4a.png)
①该四面体的外接球的表面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df974afaeb5e77fe9f94354aee551cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5eb6961f9624efcbf1a4723545b0dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d2d0bb744bb77e6f18f37f7df0490a.png)
其中所有正确结论的编号为:( )
A.①④ | B.①② | C.②③ | D.③④ |
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2020-01-14更新
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3卷引用:湖南省岳阳市2019-2020学年高三上学期末数学理科试题
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