As shown in the figure, in the plane rectangular coordinate system xoy, the circle e with a diameter of 10 intersects the x-axis at points a and B, and intersects the y-axis at points c and D. the coordinates of points a and B are as follows: A (- 2,0), B (4,0). Try to find the coordinates of center E and points c, D Thank you)

As shown in the figure, in the plane rectangular coordinate system xoy, the circle e with a diameter of 10 intersects the x-axis at points a and B, and intersects the y-axis at points c and D. the coordinates of points a and B are as follows: A (- 2,0), B (4,0). Try to find the coordinates of center E and points c, D Thank you)

(1) Make ef ⊥ X axis, intersect X axis at point F, connect EA, the coordinates of (1 min) ∵ A and B are (- 4,0), (2,0), (1 min) ∵ AB = 6, OA = 4, (2 min) ∵ AF = 3, ∵ of = 1, (3 min) ∵ E has a diameter of 10, a radius of EA = 5, EF = 4, and the coordinates of E are (- 1,4). (5 min) (2) similarly, make eg