Given that the focus F of the parabola y2 = 2px (P > 0) is exactly the right focus of the hyperbola x2a2-y2b2 = 1 (a > 0, b > 0), and the hyperbola passes through the point (3a2p, B2P), then the asymptote equation of the hyperbola is () A. y=±2xB. y=±xC. y=±5xD. y=±153x

Given that the focus F of the parabola y2 = 2px (P > 0) is exactly the right focus of the hyperbola x2a2-y2b2 = 1 (a > 0, b > 0), and the hyperbola passes through the point (3a2p, B2P), then the asymptote equation of the hyperbola is () A. y=±2xB. y=±xC. y=±5xD. y=±153x

∵ the focus F of the parabola y2 = 2px (P > 0) is just the right focus of the hyperbola x2a2-y2b2 = 1 (a > 0, b > 0) ∵ C = P2, P = 2C. ∵ the hyperbola passes through the point (3a2p, B2P), ∵ 9a4p2a2 − b4p2b2 = 1,