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What is the last question of mathematics in Harbin senior high school entrance examination?
28. (This question 10)

As shown in the figure, in the plane rectangular coordinate system, the straight line Y = intersects the X axis and the Y axis at point A and point B respectively, and rotates △ABO clockwise around the origin O to get △A? 0? 7B? 0? 7O, and do OA? 0? 7⊥AB, vertical foot is D, straight line AB and line segment A? 0? 7B? 0? 7 intersects at the G point, and the moving point E starts from the origin O and moves along the positive direction of the X axis at the speed of 1 unit/second. Let the moving time of the moving point e be t seconds.

(1) Find the coordinates of point D;

(2) Connect DE when DE and segment OB? 0? 7 intersect, the intersection point is f, quadrilateral DFB? 0? When 7G is a parallelogram, (as shown in Figure 2) find the analytical formula of the straight line where the line segment DE is located at this time;

(3) If the fixed point is the center of E and the radius is ⊙E, then connect A? 0? 7E, when is t? Tan∠EA? 0? 7B? 0? 7= ? And judge the straight line a at this time? 0? Please explain the positional relationship between 7O and ⊙ E.