It is known that F1F2 is the left and right focus of hyperbola x2 / a2-y2 / B2 = 1 (a > 0, b > 0), the line passing through point F1 and perpendicular to the real axis and the two asymptotes of hyperbola If the coordinate origin o is just the vertical center of △ abf2 (the intersection of the three high lines of the triangle), then the eccentricity of the hyperbola is

It is known that F1F2 is the left and right focus of hyperbola x2 / a2-y2 / B2 = 1 (a > 0, b > 0), the line passing through point F1 and perpendicular to the real axis and the two asymptotes of hyperbola If the coordinate origin o is just the vertical center of △ abf2 (the intersection of the three high lines of the triangle), then the eccentricity of the hyperbola is

Because MF2 is perpendicular to the X axis, MF2 is the length of half path, and the path length of hyperbola is 2B ^ 2 / A, so MF2 = B ^ 2 / A. in the right triangle f1f2m, tan30 ° is MF2 / F1F2, so (b ^ 2 / a) / 2C = radical 3 / 3
The result is: root 3 (C ^ 2-A ^ 2) - 2Ac = 0, if both sides divide by a ^ 2 at the same time, there is: root 3E ^ 2-2e-root 3 = 0, the solution is: e = root 3