The parabola y2 = 2px (P > 0) and the ellipse x ^ 2 / 9 + y ^ 2 / 8 = 1 have the same focus F 2, and the two curves intersect at P and Q. F 1 is another focus of the ellipse Solving: 1) parabolic equation; 2) coordinates of P and Q; 3) area of △ pf1f2

1) The focus of the ellipse is F1 (- C, 0), F2 (C, 0). According to the elliptic equation, C ^ 2 = a ^ 2-B ^ 2 = 9-8 = 1 = > C = 1, the parabola opens to the right, passes through the origin, the focus of the parabola is (P / 2,0), and the parabola has the same focus as the ellipse. F2,... C = P / 2 = 1 = > P = 2, the parabola equation is: y ^ 2 = 2px = 4x2) substitute y ^ 2 = 4x into the elliptic equation

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