Width-adjustable cooling type slitting device and cloth slitting machine

The utility model discloses a width-adjustable cooling type slitting device and a cloth slitting machine. The width-adjustable cooling type slitting device comprises a mounting shaft; the mounting plates are sequentially arranged at intervals in the axis direction of the mounting shaft, the mounting plates are arranged on the mounting shaft in a sliding mode, mounting areas are arranged on the mounting plates, first cooling water channels are formed in the mounting plates, and the first cooling water channels are arranged by passing through the mounting areas and can take away heat in the mounting areas; the first cooling water channels between every two adjacent mounting plates in the axial direction of the mounting shaft communicate with each other, and the first cooling water channels are used for communicating with a cooling device; the cutter is arranged in the mounting area in a transmission mode, the cutter point faces the side where the mounting shaft is located, and the cutter is used for being in tr