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This article discusses the importance of computer graphics, points out the existing problems in its course teaching, and gives an analysis. On this basis, the idea is proposed that "organizing teaching, experiments and course-design based on the application cases". Furthermore, the triune teaching system of "case teachingrarrcase experimentsrarrcase course-design" has been preliminarily formed. Especially, in the aspect of case course-design, the paper expounds aim, principle, key problems and concrete implementing scheme. It also includes an analysis of the knowledge structure of computer graphics and cases for course-design. Practice shows that students' practical ability and comprehensive ability are improved through developing the case teaching system.