正四棱柱
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(底面是正方形,側(cè)棱垂直底面的四棱柱)中,
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,則異面直線
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與
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所成角的余弦值為( )
本試題主要是考查了異面直線的所成的角的求解問題。
因為連接B
1C,AC,由正方體的幾何特征,可得AB
1∥B
1C,則∠AB
1C即為直線AB
1與DA
1所成角,∵長方體ABCD-A
1B
1C
1D
1的高為4,底面ABCD是邊長為2的正方形,,則AB
1=B
1C=2
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,AC=2
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,故選A.
解決該試題的關(guān)鍵是能理解通過平移法,作出異面直線所成的角,然后在三角形中求解。
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