ax~2+bx+c是一个x的二次三项式(a、b、c为常数,且a≠0)。若ax~2+bx+c=0(a≠0)则表示一个x的二次方程。本人在数学复习的教学实践中,把二次三项式、二次方程的一些常用结论与因式分解,不等式的证明,解三角问题以及处理一些解几问题结合起来,引导学生学活ax~2+bx+c,启发学生注重“双基”训练,收到了较好的效果。一因式分解对于含几个字母的多项式的因式分解,往往需要通过恰当的分组。而如何分得恰当又无一般规律,因而学生较难把握。我选了以下三个例题 Ax~2+bx+c is a quadratic trinomial of x (a, b, c are constants, and a ≠ 0). If ax~2+bx+c=0 (a≠0), it means a quadratic equation of x. In the teaching practice of mathematics review, I combine some common conclusions of quadruple and quadratic equations with factorization, proof of inequalities, solution of trigonometric problems, and handling of several problems to guide students in learning ax~. 2+bx+c, inspired students to focus on “double-base” training and received good results. A factorization often requires proper grouping for factorization of polynomials containing a few letters. There is no general rule as to how to divide properly, so students are more difficult to grasp. I chose the following three examples