名校
解题方法
1 . 在三棱锥
中,
,
是正三角形,
为
中点,有以下四个结论:
①若
,则三棱锥
的体积为
;
②若
,且三棱锥
的四个顶点都在球O的球面上,则球O的体积为
;
③若
,则三棱锥
的体积为
;
④若
,且三棱锥
的四个顶点都在球O的球面上,则球O的表面积为
.
其中结论正确的序号为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b4c1ae9c57d51e27bbdb001122d3bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dce1a3daf9869bc76cf3cb8815185c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c14ff9b66f21c05e52dc3c8908c2df.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dce1a3daf9869bc76cf3cb8815185c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246fffc9041c2b970076b4a564683a83.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985905ab3559ed7ec54e745a493629af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985905ab3559ed7ec54e745a493629af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9c018281fcaaf52863e1f83d9dad0.png)
其中结论正确的序号为
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2020-12-16更新
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