If there is a point on the right branch of hyperbola x2a2 − y2b2 = 1 (a > 0, b > 0), and the distance from it to the right focus and the left quasilinear is equal, then the value range of eccentricity of hyperbola is () A. (1,2]B. [2,+∞)C. (1,2+1]D. [2+1,+∞)

If there is a point on the right branch of hyperbola x2a2 − y2b2 = 1 (a > 0, b > 0), and the distance from it to the right focus and the left quasilinear is equal, then the value range of eccentricity of hyperbola is () A. (1,2]B. [2,+∞)C. (1,2+1]D. [2+1,+∞)

∵ ex0 − a = x0 + A2C {(E − 1) x0 = A2C + a {A2C + a ≥ (E − 1) a, ∵ e − 1 ≤ 1 + AC = 1 + 1E, ∵ e2-2e-1 ≤ 0, 1 − 2 ≤ e ≤ 1 + 2, and the eccentricity of hyperbola e e > 1, ∵ e ∈ (1, 2 + 1], so select C