高中数学向量,求答案和过程
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答案为A,
∵向量AF=向量AB+向量BF
=AB+1/2BF
=AB+1/2AB+1/2BC
=3/2AB+1/2BC
∴AF·AB
=AB·(3/2AB+1/2BC)
=3/2AB²+1/2AB·BC
=3/2+1/2X1X1Xcos120²
=3/2-1/4
=5/4
∵向量AF=向量AB+向量BF
=AB+1/2BF
=AB+1/2AB+1/2BC
=3/2AB+1/2BC
∴AF·AB
=AB·(3/2AB+1/2BC)
=3/2AB²+1/2AB·BC
=3/2+1/2X1X1Xcos120²
=3/2-1/4
=5/4
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