Sorting machine track based on easement curve and sorting machine

The invention discloses a sorting machine track based on an easement curve and a sorting machine. The sorting machine track comprises a bent track used for changing the moving direction of the sorting trolley. Transition sections are arranged at the two ends of the bent track. The track of the transition section conforms to an easement curve. The type of the easement curve is a cycloid, a multiple parabola or a lemniscate. The type of the easement curve is determined according to the design distance between the two ends of the bent track; the design spacing is from large to small, and a convolute line, a lemniscate and a multiple parabola are selected in sequence. The transition section conforming to the transition curve enables the sorting trolley not to have sudden acceleration change at the joint of the straight track and the bent track of the track (so that the sorting trolley is free of rigid impact and flexible impact when turning), and the problem that the sorting trolley is impacted at the joint of th