If the eccentricity of the ellipse is 12, a focal point is f (3,0) and the corresponding guide line is X-1 = 0, then the elliptic equation is______ ．

If the eccentricity of the ellipse is 12, a focal point is f (3,0) and the corresponding guide line is X-1 = 0, then the elliptic equation is______ ．

E = 12, a = 2c, let the center be (m, 0), and the guide line x = 1. Because the focus in the ellipse is closer to the center than the guide line, so the center is on the right side of (3, 0), so m > 3, then c = the distance from the focus to the center = M-3, and the distance from the guide line to the center = A2C = m − 1, so A2C − C = 2, so 4c2c − C = 2, ｜ C = 23, ｜ a = 43