(1) 　　f(x)=sin²(ωx)+√3sin(ωx)sin(ωx+π/2)=sin²(ωx)+√3sin(ωx)cos(ωx) 　　=2[(1/2)sin(ωx)+(√3/2)cos(ωx)]sin(ωx) 　　=2[cos(π/3)sin(ωx)+sin(π/3)cos(ωx)]sin(ωx) 　　=2sin(ωx+π/3)sin(ωx) 　　=2*(1/2)[cos(ωx+π/3-ωx)-cos(ωx+π/3+ωx)] 　　=-cos(2ωx+π/3)+cos(π/3) 　　=-cos(2ωx+π/3)+1/2 　　=cos(2ωx+π/3-π)+1/2 　　=cos(2ωx-2π/3)+1/2 　　最小正周期为π=2π/(2ω),ω=1 　　f(x)=cos(2x-2π/3)+1/2 　　(2) 　　x∈[-π/12,π/2]: 　　f(π/3)=cos(2π/3-2π/3)+1/2=1+1/2=3/2,此为最大值 　　x=π/3为f(x)最大值处的对称轴 　　π/3-(-π/12)=5π/12 　　π/2-π/3=2π/12