Based on the conical double-liquid variable-focus lens, by taking infinite objects as example, detailed calculations are presented to predict how the parameters for the variable-focus optical system without mechanical movements are related to meet the basic requirements of zoom lenses, i.e., changed focal length and unchanged image plane for the system, and the relational expressions are given. With the method of digital approximation, the zoom range of this optical system which meets two basic requirements is calculated out. The zoom range of this variable-focus optical system without mechanical movement is large and its focal length can be adjusted by choosing fixed lenses with different focal lengths.