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已知0<=x<=π/2,则函数Y=2sinxcos+cos2x的值域是?
人气:321 ℃ 时间:2019-12-08 11:05:18
解答
Y=2sinxcos+cos2x=sin2x+cos2x=根号2sin(2x+π/4),(化间方法根据课本和角公式例题)设2x+π/4=t,则Y=根号2sint因为0<=x<=π/2,所以0<=2x<=π,得π/4<=2x+π/4<=5π/4,即π/4<=t<=5π/4取Y=根号2sin...
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