f(x)=sin(2x+α)+根号3cos(2x+α)
=2sin(2x+α+π/3)
∵f(x)图像过（π/12,1)
∴f(π/12)=2sin(π/6+π/3+α)=2sin(π/2+α)=2cosα=1
∴cosα=1/2
∵0