二次曲线方程的分类与化简  

Classification and Simplification of the Quadratic Curve Equation

作　　者：席高文[1] 

机构地区：[1]洛阳师范学院数学与信息科学系,河南洛阳471022

出　　处：《大学数学》2006年第6期157-162,共6页College Mathematics

摘　　要：通过对二次曲线方程配方变形,利用直线与二次曲线相交时参数t的几何意义,以及仿射变换的性质,得到了二次曲线方程分类与化简的一种新方法,从而解决了二次曲线方程通过坐标系的平移、旋转进行分类、化简运算复杂,通过不变量进行化简,无法画出图形的具体位置等问题.This paper pass to complete square and deformation of equation curves of second order. By the geometric significance of parameter t as straight line and curves of second order intersection, the property of affine transformation. Getting a new method to classification and simplification of the quadratic curve equation. Thus resolved by translation and rotation of the coordinate system to classification and Simplification of the quadratic curve equation operation sophisticated, and by the invariant simplification can＇t draw the concrete position of a sketch etc problem.

关 键 词：二次曲线方程 椭圆 双曲线 抛物线 参数 轴 

分 类 号：O182.1[理学—数学]