The distance between two fixed points is 6, and the sum of the square of the distance between M and the two fixed points is 26

Let two fixed points be a and B respectively, take the straight line where AB is located as the X axis, and the vertical bisector of AB as the Y axis to establish the rectangular coordinate system, as shown in the figure: ∵ ab | = 6, then a (- 3,0), B (3,0), and m (x, y), then | Ma | 2 + | MB | 2 = 26, that is ((x + 3) 2 + Y2) 2 + ((x-3) 2 + Y2) 2 = 26

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