解答题-证明题 较难0.4 引用1 组卷2271
如图,已知正三棱柱ABC﹣A1B1C1的底面边长为2,侧棱长为3
,点E在侧棱AA1上,点F在侧棱BB1上,且AE=2
,BF=
.
![](https://img.xkw.com/dksih/QBM/2014/6/5/1571758950432768/1571758955798528/STEM/cf5c7152-9660-411b-b1d9-443a4cfd042c.png?resizew=126)
(I) 求证:CF⊥C1E;
(II) 求二面角E﹣CF﹣C1的大小
![](https://img.xkw.com/dksih/QBM/2014/6/5/1571758950432768/1571758955798528/STEM/98b692d740b7403bb6665276a0b11295.png)
![](https://img.xkw.com/dksih/QBM/2014/6/5/1571758950432768/1571758955798528/STEM/98b692d740b7403bb6665276a0b11295.png)
![](https://img.xkw.com/dksih/QBM/2014/6/5/1571758950432768/1571758955798528/STEM/98b692d740b7403bb6665276a0b11295.png)
![](https://img.xkw.com/dksih/QBM/2014/6/5/1571758950432768/1571758955798528/STEM/cf5c7152-9660-411b-b1d9-443a4cfd042c.png?resizew=126)
(I) 求证:CF⊥C1E;
(II) 求二面角E﹣CF﹣C1的大小
2011·湖北·高考真题
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