20 14 what should I do with 24 math questions in the senior high school entrance examination in Shanxi province? I don't understand at all. Please advise. Synthesis and exploration: For example, in the plane rectangular coordinate system xOy, This problem is the finale of quadratic function, which is very difficult. The problem (1) examines the properties of undetermined coefficient method and quadratic function. Question (2) Examine the translation transformation, parallelogram, similar triangles, the maximum of quadratic function and other knowledge points. The key to solve the problem is to determine that the overlapping part is a parallelogram; Question (3) Investigate the knowledge points such as parallelogram, congruent triangles and the coordinate characteristics of points on parabola. The key to solve the problem is the judgment condition of parallelogram. The answer is/exercise/math /7989 1 1, which is so detailed, please adopt it.

Synthesis and exploration: As shown in the figure, in the plane rectangular coordinate system xOy, quadrilateral O, A and C are parallelograms, the coordinates of two points A and C are (4,0) and (-2,3) respectively, the parabola passes through three points O, A and C, and D is the vertex of parabola W. 。

(1) Find the analytical formula of parabola W and the coordinates of vertex D;

(2) Parabola W and parallelogram OABC are first translated by 4 units to the right, and then translated by m (0

(3) Under the condition of (2), when S takes the maximum value, let the vertex of parabola W' be F, if point M is the moving point on the X axis and point N is the moving point on parabola W', try to judge whether there are such points M and N, and make the quadrilateral with vertices D, F, M and N a parallelogram. If it exists, please write the coordinates of point M directly; If it does not exist, please explain why.