题干

在三棱柱ABC﹣A1B1C1中,CA=CB,侧面ABB1A1是边长为2的正方形,点E,F分别在线段AAl,A1B1上,且AE=
1
2
,A1F=
3
4
,CE⊥EF,M为AB中点

(Ⅰ)证明:EF⊥平面CME;

(Ⅱ)若CA⊥CB,求直线AC1与平面CEF所成角的正弦值.

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答案(点此获取答案解析)

证明:(Ⅰ)在正方形ABB1A1中,A1E= ,AM=1,

在Rt△EAM和Rt△FA1E中,

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