As shown in the figure, in the rectangular coordinate system, let a (3,2) B (4,1) C (m, 0) d (n, n) be the four vertices of the quadrilateral. When the perimeter of the quadrilateral ABCD is the shortest, the value of M, n is the same

According to the principle of light reflection, the mirror point of point a about the straight line y = x is (2,3), and the mirror point of point B about the X axis is (4, - 1)
The intersection of the line connecting the two mirror points and the line y = x and X axis is the calculated C (7 / 2,0), D (7 / 3,7 / 3)

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