【摘要】 本文以坐标系为媒介， 投影为方法、将解析几何， 线性代数， 画法几何做了横向地联系， 研究了四维坐标空间的几何元素， 得出线性方程组的代数消元可以解释为几何元素的迹元素或是几何元素的投影． 两对偶几何元素对于同一个坐标空间， 其中一个的迹元素与另一个的投影仍然对偶， 称为“相关联”． 由此， 用形数结合的方法对两对偶几何元素进行了分析、研究．更多还原

【Abstract】 Some connections among Analytic Geometry . Linear Algebra. Descriptive Geomety are studied through the medium ofcoordinate space and by means of projection . Geometric elementsin four - dimen sion space are analysed . Algebraic elimination oflinear equationsis explained asthe trace element of geom rtry element orthe projection of geometry element.It was concluded that one’s trace element of a pair of dual geometric elements with the other’s projection are dualin the same coordinate space . They are called interrelation .By using the method of combining graph with algebra a pair of dual geometric elements are analysed and researched .更多还原