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Senior high school math problem help
Solution:

Take AB side as X axis, establish rectangular coordinate system, point A is coordinate 0, point B is coordinate (4,0), and point C is coordinate (x, y), which is not on AB straight line. D is the midpoint of the BC side,

Then that coordinate of point d is (x+4/2, y/2),

Then AD=√[((x+4)/2)? +(y/2)? ]=3

Simplify,

(x+4)? +y? =36 is a circle with (-4,0) as the center and 6 as the radius.

And,(x,y)≦(2,0) and (- 10,0)。