f(x)=2sinx/4cosx/4-2√3sin2x/4(中间那个2是平方的意思吧)+√3 =sinx/2+√3(cosx/2-1)+√3 =sinx/2+√3cosx/2 =2(1/2sinx/2+√3/2cosx/2) =2(sinx/2cosπ/3+cosx/2sinπ/3) =2sin(x/2+π/3)所以最小正周期为2π/0.5=4π最大值为2,最小值为-2