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已知函数+cos2x+a(a∈R,a为常数).(I)求函数的最小正周期;(II)求函数的单...
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已知函数
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALIAAAAjCAYAAAAwsFCOAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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==
)
+cos2x+a(a∈R,a为常数).
(I)求函数的最小正周期;
(II)求函数的单调递减区间;
(III)若
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEAAAAAjCAYAAAAkCQwqAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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=
)
时,f(x)的最小值为-2,求a的值.
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