For the design of the topology and the operation of a wireless sensor network, many researchers are focusing on how to take advantage of all sensor nodes to collect information that covering the whole sense area. This strategy can be classified as complete coverage strategy. Although most of these studies try to lengthen the lifespan under the construction of wireless sensor network, they neglect the truth that the goal of lengthening lifespan is conflict with the complete coverage strategy due to the overlapping of sensor area among nodes result in unnecessary waste of energy. Based on the above observation, the paper proposes another proposition from the idea of partial coverage strategy. A near perfect coverage rate can be achieved by least nodes to save the energy of the whole network. The proposed topology is constructed by clustered structure. According to the simulation results that are made by comparing with the classic clustered topology, LEACH, and an improved method proposed recently. The study find that the method proposed in this paper can double the lifespan of a wireless sensor network under the same condition.