The straight line y = - x + 1 intersects with X axis at point a, and intersects with y axis at point B. P (a, b) is a point on hyperbola y = 1 / 2x (x greater than 0). PM is perpendicular to X axis at m, AB at e, PN is perpendicular to y axis at n, AB at F 1. Directly write out the coordinates of E and F and the area of triangle EOF with algebraic expressions containing a and B 2. Prove that triangle AOF is similar to triangle BeO 3. When P moves on the curve, the OEF of the triangle changes. Are all the three internal angles of the OEF of the triangle also changing? If there is an angle with the same size, find out its size. If not, explain the reason Look at the title should be able to draw a picture 65765776756 why don't you answer it? Only when there is no answer can people come in=

The straight line y = - x + 1 intersects with X axis at point a, and intersects with y axis at point B. P (a, b) is a point on hyperbola y = 1 / 2x (x greater than 0). PM is perpendicular to X axis at m, AB at e, PN is perpendicular to y axis at n, AB at F 1. Directly write out the coordinates of E and F and the area of triangle EOF with algebraic expressions containing a and B 2. Prove that triangle AOF is similar to triangle BeO 3. When P moves on the curve, the OEF of the triangle changes. Are all the three internal angles of the OEF of the triangle also changing? If there is an angle with the same size, find out its size. If not, explain the reason Look at the title should be able to draw a picture 65765776756 why don't you answer it? Only when there is no answer can people come in=

It is easy to find a (1,0), B (0,1) ∵ P (a, b) on y = (1 / 2) x, ∵ 2Ab = 1, then (√ 2) B: 1 = 1: (√ 2) A1. Obviously, in E (a, 1-A), f (1-B, b) ∵ △ ABO, OA = ob = 1, ∠ AOB = 90 & ordm;, ab = √ 2, if OD ⊥ AB is taken as D, then od = (√ 2) / 2, and EF = (√ 2) (a + B +