无心二次曲线位置的确定

Determine the Position of Conic Center

无心二次曲线(即抛物线)位置的确定目前大多数教科书上和长期从事这方面研究的同志撰写的论文中都是通过探讨方程的系数来实现的,本文由文[1]中所给的方法,借助点到直线的离差给出了另一种确定无心二次曲线位置的方法.值得指出的是:这种方法可以直接确定抛物线的对称轴、顶点、开口方向,并且写出其标准方程和画出图形.

Up till now, the position of conic without center (Para-curve) is determined by means of making an inquiry into equation's coefficient. It is common whether in textbooks or in research papers whose authors have been working in this field for years, but in my paper. I'll give a new method to determine conic without center, it is with the help of deviation occurred from point to straight line. It is also worthwhile to point out that using this method, one may determine parabola's symmetry axis, apex and open direction directly; write out its standard equation and draw up its graph.