关于高等代数教学中若干问题几何意义的探索

Teaching Exploration on Geometric Meaning of Some Questions in Higher Algebra

文章对向量组的线性相关概念、欧氏空间中的正交变换概念、线性方程组的通解与其导出组的通解之间的关系、Cramer法则四类高等代数问题的几何意义进行了教学探索,从几何角度解释了相应的代数问题,使学生更容易理解和接受相关的基本内容.

This paper integrates higher algebra and geometric knowledge, which explains the meaning of linear correlation of vector groups, the orthogonal transformation of Euclidean space, the relationship between the general solution of linear equations and it＇s derived one as well as Cramer＇s Rule from geometric angle, makes it easier for students to understand and accept.