对于一个含参数的一元二次方程竞赛题来说,要判断它是否有整数根或有理根,常用方法有因式分解、求根公式、判别式及韦达定理、主元法等,当然,还要用到一些整除性的性质．下面结合例题来谈一些主要的方法． For a single element quadratic equation game with parameters, to determine whether it has integer roots or rational roots, the commonly used methods are factorization, rooting formulas, discriminants, and Vedic theorem, principal component method, etc. Also use some divisive nature. Here are some of the main ways to talk about examples.