题目内容
向量a=(-1,1),且a与a+2b方向相同,则a·b的范围是( )
A.(1,+∞) |
B.(-1,1) |
C.(-1,+∞) |
D.(-∞,1) |
C
∵a与a+2b同向,
∴可设a+2b=λa(λ>0),
则有b=
a,又∵|a|=
=
,
∴a·b=
·|a|2=
,
∴a·b的范围是
,故应选C.
∴可设a+2b=λa(λ>0),
则有b=
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∴a·b=
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∴a·b的范围是
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