f(x)=（1/2）2sinx*cosx+√3*cosx^2
=1/2sin2x+√3/2（2cos^2-1)+√3/2
=1/2sin2x+√3/2cos2x+√3/2
=cos60sin2x+cos2xsin60+√3/2
=sin(2x+π/3))+√3/2
T=2π/w=2π/2=π
所以最小正周期是π