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.
已知向量


(Ⅰ)求tanA的值;
(Ⅱ)求函数

tanA=1,

(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

因为cosA≠0, ···························· 3分
所以tanA="1." ····························· 4分
(Ⅱ)由(Ⅰ)知tanA=1得

=

=

因为x


当


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


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