题目求a/|a|+b/|b|+c/|c|的值(a,b,c为非零有理数)思路分析运用《有理数》一章所学的知识,我们可以发现以下特征:若a大于0,即a是正数时,则a/|a|=1;相反,若a小于0,即a是负数时,则a/|a|=-1.于是,我发现a/|a|、b/|b|和c/|c|的值都与a、b、c的正负有关,应分以下四种不同情况进行讨论:情况一:a、b、c同时为正,即a>0,b>0,c>0,所以, (A, b, c are non-zero rational numbers) Ideas Analysis Using the knowledge of the chapter “Rational Numbers,” we can find the following characteristics : A / | a | = 1 if a is greater than 0, ie a is a positive number; on the other hand, if a is less than 0, ie a is negative, a / | a | The values ​​of | a |, b / | b | and c / | c are all related to the positive and negative of a, b, c and should be discussed in four different situations: Case 1: a, b and c are positive at the same time , That is, a> 0, b> 0, c> 0, therefore,