··As shown in the figure, it is known that m.n is the two real roots of the equation x ＾ - 6x + 5 = 0, m ∠ n, and the image of parabola y = - x ＾ + BX + C passes through point a (m, O). B (O, n) P is a point on the line OC, passing through the point P as the pH ⊥ X axis, intersecting with the parabola at point h and BC at point E. if the straight line BC divides △ PCH into two parts with an area ratio of 2:3, the coordinates of point P are requested Picture in my space

··As shown in the figure, it is known that m.n is the two real roots of the equation x ＾ - 6x + 5 = 0, m ∠ n, and the image of parabola y = - x ＾ + BX + C passes through point a (m, O). B (O, n) P is a point on the line OC, passing through the point P as the pH ⊥ X axis, intersecting with the parabola at point h and BC at point E. if the straight line BC divides △ PCH into two parts with an area ratio of 2:3, the coordinates of point P are requested Picture in my space

M. N is the two real roots of the equation x ＾ - 6x + 5 = 0, m ∠ n is m = 1, n = 5
The image of parabola y = - x ＾ + BX + C passes through a (m, O). B (O, n)
Then C = n = 5 - 1 + B + 5 = 0, B = - 4
If y = - x-4x + 5, then C (- 5,0)
The analytical formula of BC is y = x + 5
BC divides △ PCH into two parts with the area ratio of 2:3
He: EP = 2:3 or 3:2
Let P (Z, 0) then H (Z, - z-4z + 5) e (Z, Z + 5) - 5

It is known that m, n are two real roots of the equation x & sup2; - 6x + 5 = 0, and m < n, the image of parabola y = - X & sup2; + BX + C passes through points a (m, 0), B (0, n)
(1) Find the analytical expression of this parabola
(2) Let the other intersection of the parabola and the x-axis in (1) be C, and the vertex of the parabola be d. try to find out the coordinates of points c and D and the area of △ ACD
(3) P is a point on the line OC, passing through the point P as the pH ⊥ X axis, intersecting with the parabola at the H point. If the straight line BC divides △ PCH into two parts with the area ratio of 2:3, the coordinates of P point are requested
The key is the third step, t t

1) Two real roots X1 = 1, X2 = 5, m of the equation x & sup2; - 6x + 5 = 0