内容正文:
11.3公式法
学习目标
①进一步理解因式分解的概念,会运用平方差公式对比较简单的多项式进行因式分解.进一步体验“整体”的思想,培养“换元”的意识.
②对不同多项式进行因式分解的同时培养学生的观察、比较和判断能力以及运算能力,用不同的方法分解因式可以提高综合运用知识的能力.
复习引入
1.对于等式x2-x = (x+1)
(1)如果从左到右看,是一种什么变形?
什么叫因式分解?这种因式分解的方法叫什么?
(2)如果从右往左看,即x(x+1) = x2-x,是一种什么变形?
所以因式分解与整式乘法是两种互为相反的变形.
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2.因式分解
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4
探究新知
两个数的平方差,等于这两个数的和与这两个数的差的积。
例1 试用平方差公式对下列多项式