Putian, Fujian) 26. (14 point) as shown in the figure: the parabola passes through three points: A (-3,0), B (0 0,4) and C (4 4,0). (1) Find the analytical formula of parabola. (2) It is known that AD = AB(D is on the AC line). At the same time, another moving point Q moves from point B along BC line at a certain speed. After moving for t seconds, divide the line PQ vertically by BD to find the value of t; (3) In the case of (2), is there a point m on the parabola axis of symmetry that minimizes the value of MQ+MC? If it exists, request the coordinates of point m; If it does not exist, please explain why. /7lswddw5 _ xn3otqbpnn2djv/sycg121/pic/item/1743c6a8521079c163d50. Two points B and P are moving points on the line segment OA, and the circle centered on point P is tangent to straight line AB and point M. Let the abscissa of point P be m and the radius of circle P be r. (1) Find the coordinates of point A and point B. (2) Write the functional relationship between R and m, point out the range of m, and find out whether the coordinate (3) of circle P exists when circle P is tangent to Y axis. If it exists, find the value of R and the coordinates of point P, if it does not exist, please explain the reason. (1) a (8,0) b (0,6) (process omitted) (2) When ⊙P is tangent to the Y axis, m=8-5r/3(4≤m≤8). 0) (the process is abbreviated) (3) Take AB as the diameter ⊙ C. In Rt△AOB, AB= radical sign (ao+bo) =10 ∴⊙ C. The radius is AB/2=5. As we know from the figure, P is always ⊙ C.