用线性代数的知识讲解线性电路定理

Teaching of Linear Circuit Theorem with Linear Algebra Knowledge

电路定理是"电路"课程教学中的重要部分,而部分定理仅适用于线性电路,为何只适用于线性电路,本质上说是数学问题。本文探讨如何用线性代数的思维讲解"电路"课程中的齐性定理、叠加定理和戴维宁定理,让学习者能够从数学的本质上理解电路定理的含义及这些定理的适用条件。

Circuit theorems are very important in the Circuit course, but some theorems are only valid for linear cir- cuits. Why these theorems are only valid for linear circuits is a mathematical problem in essence. This paper discusses how to teach homogeneity theorem, superposition theorem, and Thevenin＇s theorem using linear algebraic knowledge, so that students can understand these theorems and their applicable conditions more clearly.