Another Shandong issue. Today, I saw one. Shandong problem is not easy to do. This question examines how to use the undetermined coefficient method to find the analytic formula of quadratic function, the application of resolution function, the application of similar triangles property, the application of parallelogram property and so on. Let's clear our minds and take it step by step. We must not be anxious. The more urgent we are, the more likely we are to make mistakes. You don't understand/exercise/math /798529.

The straight line y=2x+2 intersects the X axis at point A, intersects the Y axis at point B, rotates △AOB along the Y axis, and the point A falls to point C and passes through the parabola at point B..

Y =-x 2+bx+c intersects the straight line BC at point D.

(2) On the parabola of the first quadrant, is there any doubt about M, where MN is perpendicular to the X axis and the vertical foot is point N, so that the triangle with M, O and N as its vertices is similar to △BOC? If it exists, find the coordinates of point m; If it does not exist, please explain the reason;

(3) There is a moving point P on the parabola above the straight line BD, and the passing point P is the PH perpendicular to the X axis. When the quadrilateral BOHP is a parallelogram, try to find the coordinates of the moving point P.