(本小题满分13分)
已知,函数.
(1)求函数的最小正周期;
(2)求函数的单调减区间;
(3)当时,求函数的值域.
解:
··················································· 2分
································································· 5分
·············································································· 6分
······················································································· 7分
(1) 的最小正周期···································································· 8分
(2) 由得
∴的单调减区间为··············································· 10分
(3)
∵
∴
∴
∴
即的值域为··············································································· 12分
解析
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