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,且
(Ⅰ)求tanA的值;
(Ⅱ)求函数R)的值域.
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xR,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
························· 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xR,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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