几何对偶在电路分析课程中的应用探索
Exploration on Application of Geometric Duality in the Circuit Analysis Course
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摘要: 电路分析课程中的知识点较多且显得离散,课程知识点的融会贯通是学习的难点。为了提高学生学习的主观能动性并达到举一反三的学习效果,几何对偶的知识被引入教学中,并形成了知识闭环自证讲解方式。该讲解方式结合了对偶电路构造方法中的几何对偶构造法和对偶方程转换法。实践表明,学生在掌握了几何对偶之后,更加能够将离散的课程知识在对偶性中统一起来,利用对偶性不仅节约了教学工作量,对培养学生探索知识奥妙的主观能动性亦有重要价值。Abstract: The knowledge points in the circuit analysis course are more and discrete, and the integration of the course knowledge points is the difficulty of learning. In order to improve the subjective initiative of students’ learning and achieve the opposite effect, the knowledge of geometric duality is introduced into the teaching, and a closed-loop self-certification method of knowledge is formed. This explanation combines the geometric duality construction method and the dual equation conversion method in the dual circuit construction method. Practice shows that after mastering the geometric duality, students can more effectively unify the discrete curriculum knowledge in duality. The use of duality not only saves the teaching workload, but also has important value for cultivating the subjective initiative of students to explore the mystery of knowledge.