正四棱柱ABCD-A1B1C1D1中,AA1=2AB,求异面直线A1B与AD1所成角的余弦.
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人气:240 ℃ 时间:2020-02-20 15:03:13
解答
五分之四
BC1//AD1,则BC1与A1B夹角为所求.连结A1C1.不妨设AB=1,则AA1=2,从而A1B=根号5,BC1=根号5,A1C1=根号2,利用余弦定理可得
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