To address the drag acceleration profile design challenge during the gliding trajectory guidance of hypersonic vehicles， this paper proposes an improved method for designing the drag acceleration profile. To enhance the gliding range of the aircraft and improve flight state parameters， the paper designs a novel drag acceleration profile in the form of a quadratic function with the reciprocal of energy as the independent variable. The profile shape is adjusted by changing the drag acceleration values at the midpoint， satisfying various constraints of hypersonic flight. Simulation results indicate that， in comparison to the traditional quadratic drag acceleration profile， the proposed profile significantly increases the maximum gliding distance and improves flight state parameters， enabling the aircraft to complete flying missions around no-fly zones.