判断空间中若干几何图形位置关系的教学设计

On Teaching Design of Determination of Position Relationships among Some Geometric Figures in Space

线性代数有着非常广泛的应用.判断空间中几何图形的位置关系是空间解析几何的重要内容,同时也是线性代数的一种重要应用.这些知识点与线性代数中矩阵的秩、线性方程组等内容相互关联,形成了一个有机整体.探讨利用线性代数的相关理论判断空间中若干几何图形位置关系的教学设计.

Linear algebra has very wide applications in the fields of the theory and practice.It is a main part of space analytic geometry to determine the position relationships of geometric figures,and it is a kind of important application of linear algebra.These knowledge points are related to the rank of matrix and system of linear equations in linear algebra,and they form an organic whole.In this paper,We＇ve made use of the theory of linear algebra to discuss the teaching design of determination the position relationships among some geometric figures.