Two mathematics problems about inverse proportion function in grade three of junior high school 1. Point P is any point of the function y = 4 / X in the image of the first quadrant. The symmetrical point of point P about the origin is p ', passing through point P as PA parallel to the Y axis, passing through point P' as p'a parallel to the X axis, PA and p'a intersect at point A. when point P moves on the image, what will happen to the area of triangle app '? Explain the reason 2. It is known that the image of inverse scale function y = 1 / X and primary function y = 2x-1 has an intersection point a (1, a). Is there a point P on the x-axis, so that the triangle POA is an isosceles triangle? If so, explore the coordinates of point p; if not, explain the reason

Two mathematics problems about inverse proportion function in grade three of junior high school 1. Point P is any point of the function y = 4 / X in the image of the first quadrant. The symmetrical point of point P about the origin is p ', passing through point P as PA parallel to the Y axis, passing through point P' as p'a parallel to the X axis, PA and p'a intersect at point A. when point P moves on the image, what will happen to the area of triangle app '? Explain the reason 2. It is known that the image of inverse scale function y = 1 / X and primary function y = 2x-1 has an intersection point a (1, a). Is there a point P on the x-axis, so that the triangle POA is an isosceles triangle? If so, explore the coordinates of point p; if not, explain the reason

Let P (x, y) triangle area s = 0.5 * (2x) * (2Y) = 2XY, because P is on the function y = 4 / x, so xy = 4, so s = 2 * 4 = 8, that is, no matter how P changes, triangle area is fixed 8.2, and there are multiple P1 (2,0) P2 (radical 2,0) P3 (1,0) P4 (- 1,0) based on two functions