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因式分解的概念是作为乘法运算的逆运算而引进的,课本上用“反过来”三字强调了因式分解和乘法运算的互逆关系。这一点往往不被学生重视,教师要抓住它牢牢不放,以此展开因式分解的教学。一、讲清常用的因式分解方法的由来因式分解的方法是在乘法运算的基础上推演而得的。因为有乘法分配律,所以有提取公因式法。因为有乘法公式,所以就有应用公式法。那么分组分解法是怎样得来的?怎么会想到“分组”的呢?
The concept of factorization is introduced as an inverse of multiplication. The word “vice versa” in textbooks emphasizes the reciprocal relationship between factorization and multiplication. This is often not taken seriously by students, teachers should hold it firmly, in order to start factoring teaching. First, to clarify the origin of the commonly used factorization method Factorization method is based on the multiplication of the deduction derived. Because of the law of multiplication distribution, so there is a common factor extraction method. Because there are multiplicative formulas, so there is a formula method. So what is the method of group decomposition? How do you think of “grouping”?