1.. P is a point on the ellipse x ^ 2 / 25 + y ^ 2 / 16 = 1, F1, F2 are the focus, if ∠ f1pf2 = 30 °, then the area of △ f1pf2 is________ 2. Given that P is the point on the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0), F1 and F2 are the two focal points on the left and right of the ellipse. If ∠ f1pf2 = 60 ° and the area of △ f1pf2 is [(radical 3) / 9] · a ^ 2, (1) calculate the eccentricity of the ellipse (2) If the line X - (radical 6) · y = 0 intersects the ellipse at two points a and B, and the vector F1A · vector F1B = - 1, the equation of the ellipse is obtained 3. The left and right focus of the ellipse x ^ / 9 + y ^ 2 / 5 = 1 are F1 and F2 respectively. Point a (1,1) is inside the ellipse and point P is on the ellipse. Find the maximum value of (1) | PF2 | - | PA | (2) find the minimum value of | PA | + | Pf1 |

1.. P is a point on the ellipse x ^ 2 / 25 + y ^ 2 / 16 = 1, F1, F2 are the focus, if ∠ f1pf2 = 30 °, then the area of △ f1pf2 is________ 2. Given that P is the point on the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0), F1 and F2 are the two focal points on the left and right of the ellipse. If ∠ f1pf2 = 60 ° and the area of △ f1pf2 is [(radical 3) / 9] · a ^ 2, (1) calculate the eccentricity of the ellipse (2) If the line X - (radical 6) · y = 0 intersects the ellipse at two points a and B, and the vector F1A · vector F1B = - 1, the equation of the ellipse is obtained 3. The left and right focus of the ellipse x ^ / 9 + y ^ 2 / 5 = 1 are F1 and F2 respectively. Point a (1,1) is inside the ellipse and point P is on the ellipse. Find the maximum value of (1) | PF2 | - | PA | (2) find the minimum value of | PA | + | Pf1 |

According to s = B ^ 2tan Θ / 2, the area of triangle f1pf2 is 16tan 15 & ordm;
When the tangent value of 15 & ordm; is 2 minus root sign 3, the triangle area is 16 times of 2 minus root sign 3