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已知向量,, 设函数,. (Ⅰ)求函数的最小正周期; (Ⅱ)若,求函数值域.

已知向量6ec8aac122bd4f6e6ec8aac122bd4f6e

设函数6ec8aac122bd4f6e6ec8aac122bd4f6e

(Ⅰ)求函数6ec8aac122bd4f6e的最小正周期;

(Ⅱ)若6ec8aac122bd4f6e,求函数6ec8aac122bd4f6e值域.

 

(Ⅰ).(Ⅱ)函数的值域为。 【解析】由数量积的坐标运算整理函数,根据正弦函数的周期性和单调性可求得函数的周期和值域. (Ⅰ) .································································································· 4分 所以其最小正周期为.········································································· 6分 (Ⅱ)由(Ⅰ)知, 又, .······················································································· 10分 所以函数的值域为.        12分
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