Answer within 1 hour that you have wealth! As shown in the figure, the parabola intersects the x-axis at two points a and B (point a is on the left side of point B), and intersects the y-axis at point C. It is known that the area of B (8,0), △ ABC is 8 (1) Find the analytical formula of parabola; (2) If the moving line ef (EF / / X-axis) starts from point C and moves along the negative direction of y-axis at the speed of 1 unit of length per second, and intersects Y-axis and segment BC at two points E and F, the moving point P starts from point B at the same time and moves towards the origin o at the speed of 2 units per second on segment ob. Connect FP and set the movement time T seconds. When the value of T is, the value of T is the largest, and the maximum value is obtained; (3) If (2) is satisfied, is there a value of t such that the triangle with vertices P, B and F is similar to △ ABC. If it exists, try to find the value of T; if it does not exist, explain the reason.

Answer within 1 hour that you have wealth! As shown in the figure, the parabola intersects the x-axis at two points a and B (point a is on the left side of point B), and intersects the y-axis at point C. It is known that the area of B (8,0), △ ABC is 8 (1) Find the analytical formula of parabola; (2) If the moving line ef (EF / / X-axis) starts from point C and moves along the negative direction of y-axis at the speed of 1 unit of length per second, and intersects Y-axis and segment BC at two points E and F, the moving point P starts from point B at the same time and moves towards the origin o at the speed of 2 units per second on segment ob. Connect FP and set the movement time T seconds. When the value of T is, the value of T is the largest, and the maximum value is obtained; (3) If (2) is satisfied, is there a value of t such that the triangle with vertices P, B and F is similar to △ ABC. If it exists, try to find the value of T; if it does not exist, explain the reason.

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