基于二阶曲线束理论的二元二次方程组的简捷解法  

Simple Solution on Binary Quadric Equations Based on the Theory of Pencil of Conics

作　　者：周明旺[1] 

机构地区：[1]连云港师范高等专科学校数学与信息工程学院,江苏连云港222006

出　　处：《宜春学院学报》2017年第3期4-6,共3页Journal of Yichun University

基　　金：国家自然科学基金资助项目(10771182)

摘　　要：针对一般二元二次方程组求解的困难,以二次曲线束相关理论为基础,采用特征值法确定二次曲线束中的退化二次曲线,将一般情形下的二元二次方程组的求解转化为求含退化二阶曲线的交点坐标问题,该方法对于求解一般二元二次方程组具有通用性,而且是一种简捷有效的方法。For the difficult of solving on the general binary quadric equations, by using eigenvalue method to deter- mine degenerate conic in pencil of conics base on the theory of pencil of Conics, we turn the solutions of the general or hinary quadric equations into seeking the intersection coordinates problem of the degenerate conic. The method is versatility for obtaining the solutions of the general of binary quadric equations, it is simple and effective.

关 键 词：二阶曲线束 退化 特征值 二元二次方程组 

分 类 号：O151.21[理学—数学]