Based on the requirement analysis of a telemedicine education system, the paper proposes the construction of the extensible telemedicine education system and the specific system architecture, makes a detailed analysis of the system's extendibility on the front end, application layer and database layer, analyzes the system's deployment model in the layered method, and explains the network selection of two training patterns (courseware on demand and real-time interaction). In the end, it states the use and social benefits of the extensible telemedicine education system.