(1) When the vertical line of the X axis intersects with point B, the angle BOE=45 degrees and OB= root number 2, so OE=BE= 1, and the analytical formula of the inverse proportional function is y =1/X.

(2) The image of the inverse proportional function of the median line of OC is located at point M. Since the analytical formula of OC is y=x, the analytical formula of the median line of OC is y=-x, which is combined with the analytical formula of inverse proportional function y= 1/x to get-x 2 =1. The equation has no solution, so there is no point m on the inverse proportional function image, which makes Mo. (3) When the angle P=90 degrees, the quadrilateral AGPC is a right trapezoid;

When the angle F=90 degrees, the point p does not exist;

When the angle C=90 degrees, the quadrilateral AGPC is a diamond.

Just draw it and you will know.