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In existing network teaching systems, deficiencies of the resource sharing and management are analyzed. An intelligent network teaching system based on knowledge grid is constructed to provide a uniform platform of intelligent information for teaching. The global sharing of knowledge resource will be realized by this platform. A course domain knowledge representation method based on the topic map in grid environment was put forward. Meanwhile, the domain knowledge model was built. Aiming at the problem about the knowledge resource deficiency in the present answering systems, an intelligent answering subsystem based on knowledge grid was studied and designed. By expanding the answering resource base to the Internet, this subsystem will fully mine the Internet knowledge resources by use of knowledge mining technology to complete the answering task. Details are provided about the architecture's design and main techniques of the system in this paper, including the constructing of domain knowledge structure model, intelligent answering, personalized knowledge service and so on.