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分
因为cosA≠0, ···························· 3分
所以tanA=1. ····························· 4分
(Ⅱ)由(Ⅰ)知tanA=1得
······················· 5分
=
························ 6分
=
····················· 7分
因为x
R,所以
.······················ 8分
当
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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