函数y=sin2x+2√3sin^2x的最小正周期T为

y=sin(2x)+2√3sin²x
=sin(2x)+√3[1-cos(2x)]
=sin(2x)-√3cos(2x) +√3
=2[(1/2)sin(2x)-(√3/2)cos(2x)]+√3
=2sin(2x -π/3) +√3
最小正周期T=2π/2=π