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一位著名数学家曾经说过,恒等变形是解决问题的有力杠杆!在一元二次方程这一部分,课本上第一次比较集中地出现条件等式值的求法,它有一定的难度,解题方法也比较灵活。我们应以此为契机,紧紧抓住一元二次方程根与系数的关系,介绍一些代数式恒等变形的方法、技巧,渗透某些数学思想方法,开发学生智力,培养学生的能力。
A famous mathematician once said that constant deformation is a powerful lever to solve the problem! In this part of the quadratic equation, the first time the textbook is more concentrated on the conditional equation, it has a certain degree of difficulty. The method is also more flexible. We should use this as an opportunity to firmly grasp the relationship between the root and coefficient of the quadratic equation, introduce some methods and techniques of algebraic equal deformation, penetrate certain mathematical thinking methods, develop student intelligence, and cultivate students’ abilities.