It is known that the image of inverse scale function y & # 8321; = m / X passes through point a (- 2,1), and the image of linear function y & # 8322; = KX + B (K ≠ 0) passes through point C (0,3) and point a, and intersects with the image of inverse scale function at another point B (1) The analytic expressions of inverse proportion function and linear function are obtained respectively; (2) Find the area of triangle OAB; (3) There is a point P on the x-axis to make the triangle OAP isosceles triangle and write its coordinates

It is known that the image of inverse scale function y & # 8321; = m / X passes through point a (- 2,1), and the image of linear function y & # 8322; = KX + B (K ≠ 0) passes through point C (0,3) and point a, and intersects with the image of inverse scale function at another point B (1) The analytic expressions of inverse proportion function and linear function are obtained respectively; (2) Find the area of triangle OAB; (3) There is a point P on the x-axis to make the triangle OAP isosceles triangle and write its coordinates

Tips:
(1) the image with inverse scale function y & # 8321; = m / X passes through point a (- 2,1),
∴y₁＝﹣2/x,
Another function y & # 8322; = KX + B (K ≠ 0) passes through C (0,3) and a (- 2,1),
∴y₂=x＋3,
(2) it is easy to know that Y & # 8322; = x + 3
The coordinate of the other intersection point B with Y & # 8321; = - 2 / X is B (- 1,2),
S⊿OAB＝… ＝3/2；
(3) there are three situations
① O is the vertex angle,
② A is the vertex angle,
③ P is the vertex angle