关键词: 根轨迹, 分离点, 数值解法, 二分迭代法

Abstract: Through some-years teaching experience，a used for solving breakaway points in root-locus is presented in this article.This method is helpful for students to understand the nature of root-locus.Otherwise，a contrastive analysis between the tentative dichotomy and the classical Newton remainder axiom both from theoretical and emulational results is worked out.The result of analysis shows that the tentative dichotomy has the merits of more operation speed and more easily controllable precision.

Key words: root-locus, breakaway point, numerical methods, dichotomy