方程与解方程是中学数学的重要内容,中学数学的各类考试都比较注重对方程思想的考查,而判定方程的根的个数是考查方程思想的一个重要方面.如何判定方程根的个数呢?本文主要以“希望杯”全国数学竞赛试题为例对方程根的个数的主要判定方法进行一些归纳整理,希望对教与学有所帮助 The equations and solution equations are important contents of middle school mathematics. The examinations of middle school mathematics all pay more attention to the examination of equations. The number of roots of the judgment equations is an important aspect of the examination of the equations. How to determine the number of equation roots In this paper, we mainly use the “Hope Cup” national mathematics competition as an example to summarize the main methods for determining the number of equation roots, hoping to help teaching and learning.