一元二次方程是中学代数中最重要的内容之一,也是学习其他方程、函数、不等式的重要基础.尤其,关于一元二次方程的公共根、有理根、整数根等问题,蕴含着丰富的数学思想,成为各类数学竞赛中的重要考点之一,近几年的中考试卷中,也逐渐渗透了类似题型及数学思想,值得关注. One-quadratic quadratic equation is one of the most important contents of algebra in middle school, and it is also an important basis for learning other equations, functions, and inequalities. In particular, there are rich issues concerning the common roots, rational roots, and integer roots of a one-dimensional quadratic equation. Mathematical thinking has become one of the important test points in various types of math competitions. In the examination papers of recent years, it has gradually infiltrated similar questions and mathematics thinking. It is worth paying attention to.