文章阐述了求有理函数曲线的渐近线，不仅可用常规的通过求极限值的方法来确定，还可用初等方法来确定。

This article elaborates the solution of asymptote of rational function curve, pointing out both the common way of finding limit value and the elementary way.

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双曲线逐渐接近它的渐近线但不相交。

A hyperbola approaches but does not meet its asymptote.

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以无穷远直线为基础讨论二阶曲线的中心、直径、渐近线等几个仿射概念，并联系解析几何中的有关性质，深入讨论它们之间的一致性。

Based on the infinitely straight line, this thesis discusses the concepts of curve of second orders center, diameter, advance gradually in the line.

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