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在高中数学学习中,我们对于函数y=±|x-a|的图象与性质都很熟悉,但对于函数y=|x-a|±|x-b|的图象与性质却有些生疏,而这类函数在求函数图象的对称轴、对称点,最值,解绝对值问题中常常会考查到.本文介绍函数y=|x-a|±|x-b|的图象与性质及其应用.
In high school mathematics learning, we are familiar with the image and property of the function y = ± | xa |, but the images and properties of the function y = | xa | ± | xb | Obtaining the symmetry axis, the symmetry point, the most value and solving the absolute value of the function image are often examined.In this paper, the image and its properties of the function y = | xa | ± | xb | and its application are introduced.