In the rectangular coordinate system, if the coordinates of a and B are known as a (0,1) and B (2,3) respectively, M is a point on the x-axis, and Ma + MB is the smallest, then the coordinates of M are______ ．

In the rectangular coordinate system, if the coordinates of a and B are known as a (0,1) and B (2,3) respectively, M is a point on the x-axis, and Ma + MB is the smallest, then the coordinates of M are______ ．

As shown in the figure, take the symmetric point a '(0, - 1) of point a (0,1) about X axis, and connect a' B. let the analytic formula of the line a 'B be y = KX + B, ∵ a' (0, - 1), B (2,3), B = − 12K + B = 3, and the solution is k = 2B = − 1. The analytic formula of the line a 'B is y = 2x-1. When y = 0, the coordinates of x = 12, ∵ m are (12,0). So the answer is (12,0)