《整式的乘法课件PPT》.pptx

《整式的乘法课件PPT》.pptx

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时间:2020-04-04

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1、整式的乘法人教版数学八年级上册问题:三家连锁店以相同的价格m(单位:元/瓶)销售某种商品,它们在一个月内的销售量(单位:瓶)分别是a,b,c.你能用不同的方法计算它们在这个月内销售这种商品的总收入吗?解法(一):先求三家连锁店的总销量,再求总收入,即总收入(单位:元)为:m(a+b+c)①解法(二):先分别求三家连锁店的收入,再求它们的和,即总收入(单位:元)为:ma+mb+mc②由于①和②表示同一个量,所以:m(a+b+c)=ma+mb+mc你能根据分配律得到这个等式吗?乘法分配律:(a+b)c=ac+bc单项式与多项式相乘的方法:单项式与多项式相乘,就是用单项式去乘多项

2、式的每一项,再把所得的积相加.由乘法公式可知:m(a+b+c)=ma+mb+mc例5计算:(1)(-4)·(3+1),(2)(a-2ab)·ab解:(1)(-4)(3+1)=(-4)·(3)+(-4)·1=-12-4(2)(a-2ab)·ab=a·ab+(-2ab)·ab=-单项式与多项式相乘的结果是一个多项式,其项数与因式中的项数相同巩固练习:1.计算:(1)3a(5a-2b)(2)(x-3y)·(-6x)解(1)3a(5a-2b)=3a·5a+3a·(-2b)=15a-6ab(2)(x-3y)·(-6x)=x·(-6x)+(-3y)·(-6x)=-6x+18xy单项式与

3、多项式相乘时可先确定积的符号例:计算(1)2a·(3a-5b)(2)(-2b)(-4a+b)解(1)2a·(3a-5b)=2a·3a-2a·5b=6a-10ab(2)(-2b)(-4a+b)=2a·4a-2b·b=8a-2bshop.99114.com/50648237shop.99114.com/47869049shop.99114.com/48919163shop.99114.com/50666040shop.99114.com/48208512shop.99114.com/50644192shop.99114.com/50670170shop.99114.com/49

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