As shown in the figure, it is known that there are two points a (- 2,0), B (4,0) in the plane rectangular coordinate system, the point P in the first-order function y = 2 / 1 x + 2 / 5, and △ ABP is a right triangle Find the coordinates of point P

As shown in the figure, it is known that there are two points a (- 2,0), B (4,0) in the plane rectangular coordinate system, the point P in the first-order function y = 2 / 1 x + 2 / 5, and △ ABP is a right triangle Find the coordinates of point P

According to the graph, the coordinates of a and B are determined. To find P so that △ ABP is a right triangle, there are several kinds: A is the right vertex, B is the right vertex, C is the right vertex, 1. A is the right vertex, P (- 2,3 / 2) 2. B is the right vertex, P (4,9 / 2) 3. P is the right vertex