If the left and right focus of ellipse (x ^ 2) / A ^ 2 + (y ^ 2) / b ^ 2 = 1 (a > b > 0) are F1 and F2 respectively, the segment F1F2 is divided into two parts of 5:3 by the focus of parabola y ^ 2 = 2bx

If the left and right focus of ellipse (x ^ 2) / A ^ 2 + (y ^ 2) / b ^ 2 = 1 (a > b > 0) are F1 and F2 respectively, the segment F1F2 is divided into two parts of 5:3 by the focus of parabola y ^ 2 = 2bx


Segment F1F2 is incomplete by the focus (B / 2,0) [C-B / 2]: [C + B / 2] = 3:5 2C = 3b of parabola y ^ 2 = 2bx



If the left and right focus of the ellipse x2a2 + y2b2 = 1 (a > b > 0) are F1 and F2 respectively, and the segment F1F2 is divided into 5:3 segments by the focus of the parabola y2 = 2bx, then the eccentricity of the ellipse is ()
A. 1617B. 41717C. 45D. 255


∵ C + b2c-b2 = 53, A2-B2 = C2, C = 2B ∵ 5c2 = 4a2 ∵ e = CA = 25 = 255



F1 and F2 are the left and right focal points of the ellipse C: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1, the point P is on the parabola C, and the line segment PF2 and the circle x ^ 2 + y ^ 2 = B ^ 2 are tangent to the point Q,
And Q is the midpoint of the line PF2, what is the eccentricity of the ellipse v?