因式分解是中学代数重要的基础知识和基本技能之一。这不仅因为它的“足迹”几乎遍及到代数,几何、三角等许多知识领域;同时,它还具体为进一步研究代数式和三角函数式的恒等变形,提供了有用的工具。但由于因式分解的方法灵活多变,初一学生的思维 Factoring is one of the basic basic knowledge and basic skills of algebra in middle school. This is not only because its “footprint” is almost spread over many knowledge fields such as algebra, geometry, triangles, etc. At the same time, it also provides useful tools for further studying the algebraic and trigonometric functional transformations. However, due to the flexible method of factorization, the students’ thinking