It is known that the image of the first-order function y = (m-2) x + 3-m passes through the first, second and fourth quadrants, and the result of simplifying M2 − 4m + 4 + 9 − 6m + M2 is______ ．

It is known that the image of the first-order function y = (m-2) x + 3-m passes through the first, second and fourth quadrants, and the result of simplifying M2 − 4m + 4 + 9 − 6m + M2 is______ ．

∵ the image of the first-order function y = (m-2) x + 3-m passes through the first, second and fourth quadrants, ∵ m − 2 < 03 − m > 0 ∵ M2 − 4m + 4 + 9 − 6m + M2 = (m − 2) 2 + (3 − m) 2 = 2-m + 3-m = 5-2m

As shown in the figure, in the plane rectangular coordinate system, the line y = x + 1 intersects with the Y axis at point a, and intersects with the X axis at point B, and point C and point B are symmetrical about the Y axis. (1) find the radius of the inscribed circle of △ ABC; (2) make ⊙ m through O and a, and intersect the lines AB and AC at points D and e respectively. Verify that AD + AE is a fixed value, and find its value

(1) The analytic solution of ∵ line AB is: y = x + 1, ∵ a (0,1), B (- 1,0), ∵ point C and point B are symmetric about y axis. ∵ point C (1,0), ∵ OA = ob = OC = 1, ∵△ ABC is RT ∵ AB = AC = 2, BC = 2,