A linkage mechanism includes: a base member; a first link rotatably connected to the base member, the first link defining a first arc-shaped guide groove centered on a pivot axis about which the first link rotates relative to the base member; a second link rotatably connected to the first link; a connecting member rotatably connected to the base member and the second link; an actuating mechanism including a linear actuator and a transmission member that is driven by the linear actuator, the transmission member having a first end rotatably connected to the output shaft, and a second end slidably received in the first arc-shaped guide groove. When the linear actuator drives the connecting member to extend and move, the second end of the transmission member abuts against one end of the first arc-shaped guide groove, which drives the first link to rotate relative to the base member.