一元二次方程根的分布是二次函数中的重要内容,这部分知识在初中代数中虽有所涉及,但不够系统和完整,解决的方法偏向于二次方程根的判别式和根与系数关系定理(韦达定理)的运用。本文将主要结合二次函数图像的性质介绍一元二次方程实根分布的一些运用。 The distribution of roots of quadratic equations is an important part of the quadratic function. Although this part of knowledge is involved in junior high school algebra, it is not systematic or complete enough. The solution method is biased toward the discriminant and the root of the quadratic root equation Relationship Theorem (Vedic Theorem). In this paper, some applications of the real root distribution of quadratic equations will be introduced based on the properties of quadratic function images.