27. As shown in the figure, in the rectangular coordinate system, the coordinates of point A are (1 0), OA is the edge, and a square OABC is made in the first quadrant, point D is a point on the positive semi-axis of X axis, and the coordinates of point D are (m, 0) (m >; 2) Make a square ODEF. The fourth quadrant with OD as the edge. It is known that the coordinate of H point is (0,2-m), the straight line L passes through H point and is parallel to the line segment OB, the inscribed circle connecting OB, OE and BE is ⊙G, the center of the circle is g, and the radius ⊙G is R. 。

(1) Find the analytical formula of straight line BE;

(2) the radius r of ⊙G is expressed by an algebraic expression containing m;

(3) the coordinates of the center g of the Δ OBE inscribed circle;

(4) If m=2, ask: Is there a point P on the straight line L, and make a circle with this point P as the center so that ⊙P is tangent to ⊙G and X axis at the same time? If not, explain the reasons; If it exists, find the P coordinates of all points that meet the conditions.