1 . 如图,等腰直角三角形
的斜边
为正四面体
的侧棱,
直角边
绕斜边
旋转一周,在旋转的过程中,有下列说法:
![](https://img.xkw.com/dksih/QBM/2021/11/1/2841770020675584/2841804122144768/STEM/2b9e5747-b018-4859-8a58-e36efc41b097.png?resizew=223)
①三棱锥
体积的最大值为
,
②三棱锥
体积的最小值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345d4d7d64d96f835e88b3de3bb0ec91.png)
③存在某个位置,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c51c25b65a37b676ae3c3b71c29f9b.png)
④设二面角
的平面角为
,且
,则
.
其中所有正确说法的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbb48c435c1ea5452cd9c9dd05e53ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/2021/11/1/2841770020675584/2841804122144768/STEM/2b9e5747-b018-4859-8a58-e36efc41b097.png?resizew=223)
①三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42020cfacd62b300cad053981bab9e0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99790fada481e8b0a4b114b823542a78.png)
②三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42020cfacd62b300cad053981bab9e0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345d4d7d64d96f835e88b3de3bb0ec91.png)
③存在某个位置,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c51c25b65a37b676ae3c3b71c29f9b.png)
④设二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d87b527147cb8dbb475bcefc0da2e6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dcadd1781ee9177e9bc76ce48afdd0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8abb81a7b51de6e6293064ecf98e0759.png)
其中所有正确说法的序号是( )
A.①③ | B.①④ | C.②③ | D.②④ |
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