题目内容

(本小题满分12分)

已知向量,且

(Ⅰ)求tanA的值;

(Ⅱ)求函数R)的值域.

 

【答案】

tanA=1,

【解析】(Ⅰ)由题意得

························· 2

 

因为cosA≠0, ···························· 3分

 

所以tanA=1. ····························· 4分

(Ⅱ)由(Ⅰ)知tanA=1得

······················· 5

=························ 6

=····················· 7

因为xR,所以.······················ 8分

时,f(x)有最大值,··················· 10分

当sinx=-1时,f(x)有最小值-2,··················· 11分

所以所求函数f(x)的值域是··················   13分

 

 

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