关于平面曲线渐近线的几个注记

Remarks on Asymptotes of Plane Curves

针对学生在学习渐近线中出现的问题,本文对渐近线的概念、几何意义和求解思路进行了整理,并通过实例总结了求渐近线的方法与技巧,给出了无穷远处线性化方法求水平和斜渐近线方程的原理和方法.

Based on the problems appeared in student learning, the concept, geometric meaning, and solving methods for asymptotes of plane curves are revisited. Methods and skills for seeking asymptotes are summarized with examples, and a principle and method of finding horizontal or oblique asymptotes by linearization at infinity is presented.