-1,2),\s\up11(→(→)=(-1,0,2),故\s\up11(→(→)与\s\up11(→(→)所成角θ的余弦值cos θ=\s\up11(→(BM,\s\up11(→)==.
答案:C
3.在正四棱柱ABCD-A1B1C1D1中,AA1=2AB,则CD与平面BDC1所成角的正弦值为( )
A. B. C. D.
解析:如图建立空间直角坐标系,设AA1=2AB=2,
则B(1,1,0),C(0,1,0),
D(0,0,0),C1(0,1,2),
故\s\up6(→(→)=(1,1,0),\s\up6(→(→)=(0,1,2),
\s\up6(→(→)=(0,1,0),
设平面BDC1的法向量为n=(x,y,z),