Let p be a point on the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) Given that point P is a point on the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0), F1 and F2 are the two focuses of the ellipse, and there is a point P on the ellipse, which makes ∠ f1pf2 = 60 degree 1. Calculate the value range of ellipse eccentricity 2. Calculate the area of △ pf1f2

Let p be a point on the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) Given that point P is a point on the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0), F1 and F2 are the two focuses of the ellipse, and there is a point P on the ellipse, which makes ∠ f1pf2 = 60 degree 1. Calculate the value range of ellipse eccentricity 2. Calculate the area of △ pf1f2

1…… Here is a solution for reference: let the ellipse half focal length C, let P (x0, Y0) from the focal radius knowledge, have | Pf1 | = ex0 + A, | PF2 | = a-ex0. (provided that F1, F2 are its left and right focus.)