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绝对值是中学数学中及其重要的概念,它的应用十分广泛.因此我们在学习绝对值时,不仅要正确理解概念,还要并灵活运用绝对值中蕴含的数学思想方法.一、整体代换思想例1若|a-2016|=2016-a,求a的取值范围.解根据已知条件等式的结构特征,我们把a-2016看作一个整体,那么原式变形为|a-2016|=-(a-2016),又由绝对值概念知a-2016≤0,故a的取值范
Absolute value is an important concept in middle school mathematics and its application is very wide, so when we study absolute value, we not only understand the concept correctly, but also make use of the mathematical thinking methods contained in the absolute value. Example 1 If | a-2016 | = 2016-a, find the range of a. Solution According to the structural characteristics of the known conditional equation, we regard a-2016 as a whole, and the original transformation is | a -2016 | = - (a-2016), by the absolute value of the concept that a-2016 ≤ 0, so the value of a