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Mathematical m-drawing
Because the distance of MN is constant, it is enough to find the minimum value of PM+PN.

Yi AB

Let the symmetry point N 1 with the symmetry axis n connect MN 1, AB intersects at point P, and point P is the demand.

Because PN=PN 1 (easy to prove). MN 1=PM+PN (the shortest straight line between two points).