A method applied in a mobile terminal for operating a task management, the method comprising: receiving a first trigger signal configured to trigger display of a task management interface; acquiring n application programs running in the mobile terminal triggered by the first trigger signal, where n is an integer greater than 1; acquiring a preview interface corresponding to each of the n application programs by: clipping a display area of a third size from the display interface of the application program; and scaling down the display area of the third size to a fourth size, to generate the preview interface corresponding to the application program; or, scaling down the display interface of the application program from a first size to a second size; and clipping a display area of a fourth size from the scaled-down display interface of the application program, to generate the preview interface corresponding to the application program; and displaying the task management interface including preview interfaces respectively corresponding to the n application programs and arranged in a lattice, wherein the preview interfaces respectively corresponding to the n application programs do not overlap with each other, the method further comprises: displaying a preview interface corresponding to an application program running in a foreground at a most front of the task management interface before the mobile terminal displays the task management interface, and determining, according to a number of times of simultaneous running of other application programs and the application program corresponding to the preview interface displayed at the most front of the task management interface, display positions of the preview interfaces corresponding to the other application programs in the task management interface. receiving a first trigger signal configured to trigger display of a task management interface; acquiring n application programs running in the mobile terminal triggered by the first trigger signal, where n is an integer greater than 1; acquiring a preview interface corresponding to each of the n application programs by: clipping a display area of a third size from the display interface of the application program; and scaling down the display area of the third size to a fourth size, to generate the preview interface corresponding to the application program; or, scaling down the display interface of the application program from a first size to a second size; and clipping a display area of a fourth size from the scaled-down display interface of the application program, to generate the preview interface corresponding to the application program; and displaying the task management interface including preview interfaces respectively corresponding to the n application programs and arranged in a lattice, wherein the preview interfaces respectively corresponding to the n application programs do not overlap with each other, the method further comprises: displaying a preview interface corresponding to an application program running in a foreground at a most front of the task management interface before the mobile terminal displays the task management interface, and determining, according to a number of times of simultaneous running of other application programs and the application program corresponding to the preview interface displayed at the most front of the task management interface, display positions of the preview interfaces corresponding to the other application programs in the task management interface.