In the following functions, where the minimum positive period is π and the image is axisymmetric with respect to the line x = π 3 () A. y=sin（2x-π3）B. y=sin（2x+π6）C. y=sin（2x-π6）D. y=sin（12x+π6）

In the following functions, where the minimum positive period is π and the image is axisymmetric with respect to the line x = π 3 () A. y=sin（2x-π3）B. y=sin（2x+π6）C. y=sin（2x-π6）D. y=sin（12x+π6）

For y = sin (2x - π 3), its period is π. When x = π 3, the function y = sin (2x - π 3) = 32 is not the maximum value, so the image of the function is not axisymmetric about the line x = π 3, so a is excluded. For y = sin (2x + π 6), its period is π. When x = π 3, the function y = sin (2x - π 3) = 12 is not the maximum value, so the image of the function is not axisymmetric about the line x = π 3, so B is excluded Because the period of the function y = SinSin (2x - π 6) is 2 π 2 = π, when x = π 3, the function y = sin (2x - π 6) = 2 gets the maximum, so the image of the function y = sin (2x - π 6) is axisymmetric with respect to the straight line x = π 3, so C satisfies the condition. For y = sin (12x + π 6), because the period of the function is 2 π 12 = 4 π, D is excluded