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The condition that m is a moving point can be ignored when solving problems, because it has been said that it moves towards OM=OA.

If a, b, m and h are isosceles trapezoid, then BM=AH and AB are parallel to MH, then the line where MH is located can be considered as

Y = 4/3x+x0。 When x=0, y=x0. That is, OM=x0.

Because OM=OA, we can get OA=6 and OB=8 from the function Y = 4/3x+8. That is to say, the straight line where MH is located is Y = 4/3x+6. And BM=OB-OM=OB-OA=2, then AH=2.

Suppose point H is (x 1, 4/3x 1+6), then AH=(2-x 1)? +(4/3x 1+6)?

Solve the equation (2-x 1)? +(4/3x 1+6)? =2, you can get x 1, and then the coordinates of point h come out.