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230问答网 > y=2sinxcos2x的最小正周期是？是奇函数还是偶函数？要详细过程

y=2sinxcos2x的最小正周期是？是奇函数还是偶函数？要详细过程

2025-04-08 09:19:02

推荐回答（2个）

回答1：

最小正周期=2派/2=派
是奇函数(因为sinX是奇函数,cos2X是偶函数,奇X偶是奇函数)

回答2：

y=2sinxcos2x=2sinx(1-2sinx)=2sinx-4(sinx)^2=-4(sinx-1/4)^2+1/4 T=2π 是偶函数

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