y=sinxcosx+根号3cos²x-根号3
=1/2sin2x+√3/2(cos2x+1)-√3
=1/2sin2x+√3/2cos2x-√3/2
=sin(2x+π/3)-√3/2
令2x+π/3=kπ x=kπ/2-π/6
图像的对称中心(kπ/2-π/6,-√3/2)
k取整数
y=sinxcosx+根号3cos²x-根号3
=1/2sin2x+√3/2(cos2x+1)-√3
=1/2sin2x+√3/2cos2x-√3/2
=sin(2x+π/3)-√3/2
令2x+π/3=kπ x=kπ/2-π/6
图像的对称中心(kπ/2-π/6,-√3/2)
k取整数