涉及一元二次方程的有关数学问题,不少同学往往热衷于应用根与系数关系(也称韦达定理)来解决,从而淡化了根的定义的应用.事实上,此类问题,若从根的定义入手,常能收到较好的解题效果,且有不少的解法还非常巧妙,颇具新意.本文结合近几年的中考题和竞赛题 Concerning mathematical problems involving a quadratic equation, many students are often keen to apply the root-coefficient relationship (also known as the Vedic theorem) to solve the application of the root definition. In fact, such problems, if from the root Starting with the definition, you can often receive good results, and many solutions are very clever and quite innovative. This paper combines the mid-term exam questions and competition questions in recent years.