已知函数f(x)=sin^2wx+根号3sinwxsin(wx+π/2)的最小正周期为π,

f(x)=sin^2wx+√3sinwxsin(wx+π/2)=sin^2wx+√3sinwxcoswx=1/2(1-cos2wx)+√3/2sin2wx=√3/2sin2wx-1/2cos2wx+1/2=sin(2wx-π/6)+1/2∵f(x)最小正周期T=π∴2π/(2w)=π,w=1f(x)=sin(2x-π/6)+1/2∵x∈(-π/12,π/2...