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1、七年级数学培优专题讲解绝对值培优一、绝对值的意义:(1)几何意义:一般地,数轴上表示数a的点到原点的距离叫做数a的绝对值,记作
2、a
3、。(2)代数意义:①正数的绝对值是它的本身;②负数的绝对值是它的相反数;③零的绝对值是零。说明:(Ⅰ)
4、a
5、≥0即
6、a
7、是一个非负数;(Ⅱ)
8、a
9、概念中蕴含分类讨论思想。也可以写成:二、典型例题例1.已知a、b、c在数轴上位置如图:则代数式
10、a
11、+
12、a+b
13、+
14、c-a
15、-
16、b-c
17、的值等于()A.-3aB.2c-aC.2a-2bD.b例2.已知:,,且,那么的值()A.是正数 B.是负数 C.是零 D.不能确定符
18、号例3.已知甲数的绝对值是乙数绝对值的3倍,且在数轴上表示这两数的点位于原点的两侧,两点之间的距离为8,求这两个数;若数轴上表示这两数的点位于原点同侧呢?例4.方程的解的个数是()A.1个B.2个C.3个D.无穷多个例5.已知
19、ab-2
20、与
21、a-1
22、互为相互数,试求下式的值:清水混凝土的配合比设计中,要针对当地水泥、砂石、外掺料及外加剂等原材料影响混凝土质量的多种因素进行分析,确定主要控制因素,并从经济性和使用要求综合考虑,优选出符合生产条件的最优方案组合。obstacles,correctingmisunderstandings,advocategood
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