已知函数f (x)=(sin^4x+cos^4x+sin^2cos^2)/(2-sin2x)最小正周期.最大值.最小值.sin^2cos^2改为sin^2xcos^2x

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已知函数f (x)=(sin^4x+cos^4x+sin^2cos^2)/(2-sin2x)最小正周期.最大值.最小值.sin^2cos^2改为sin^2xcos^2x

已知函数f (x)=(sin^4x+cos^4x+sin^2cos^2)/(2-sin2x)最小正周期.最大值.最小值.sin^2cos^2改为sin^2xcos^2x
已知函数f (x)=(sin^4x+cos^4x+sin^2cos^2)/(2-sin2x)最小正周期.最大值.最小值.
sin^2cos^2改为sin^2xcos^2x

已知函数f (x)=(sin^4x+cos^4x+sin^2cos^2)/(2-sin2x)最小正周期.最大值.最小值.sin^2cos^2改为sin^2xcos^2x
f (x)=(sin^4x+cos^4x+sin^2cos^2)/(2-sin2x)
=(1-sin^2cos^2)/(2-2sinxcosx)
=(1-sinxcosx)(1+sinxcosx)/2(1-sinxcosx)
=1/2+1/4sin2x
T=2pai/2=pai
最大值为 3/4 最小值为 1/4

sin^2cos^2?打错了吧?