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我们知道,数a的绝对值为|a|,若要去掉绝对值的符号,应知道数a的正负大小值,当a≥0时,|a|=a;当a≤0时,|a|=-a.同时,还须理解绝对值的几何意义,即数a的绝对值|a|是指在数轴上表示数a的点到原点的距离.解含有绝对值的相关问题时,首先应去掉绝对值符号,这又须知道绝对值内的代数式的大小,当难以判断其大小时,常常须将该代数式进行分类讨论.现举几例求解有关含绝对值的最值问题,供参考.
We know that the absolute value of the number a | | |, to remove the sign of absolute value, you should know the number of positive and negative values of a, when a ≥ 0, | a | = a; a | = -a. At the same time, it is also necessary to understand the geometric meanings of absolute values, that is, the absolute value of the number a | a | is the distance from the point of origin that represents the number a on the number axis to the origin. First of all, we should remove the absolute value of the symbol, which in turn must know the absolute value of the algebraic size, when it is difficult to judge the size, often need to classify the algebraic discussion.Considering several examples of solving the absolute value of the most value problems for reference.