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我们知道函数y=k/x(k≠0的常数)叫做反比例函数,k叫做比例系数.特别要注意理解以下几点:1.自变量x的次数是-l,自变量x的取值范围是x≠0.函数的图象是双曲线,两个分支无限接近但永远不能达到x轴和y轴.2.反比例函数的性质:k>0图象的分支分别在第一、三象限.y随x的增大而减小,k<0,图象在二、四象限,y随x的增大而增大.
We know that the function y=k/x (constant of k ≠ 0) is called an inverse proportional function and k is called a proportional coefficient. Special attention must be paid to understanding the following points: 1. The number of independent variables x is -l, and the range of the independent variable x It is x≠0. The image of the function is hyperbolic, the two branches are infinitely close but never reach the x-axis and y-axis. 2. The properties of the inverse-proportional function: The branches of the k>0 image are in the first and third quadrants, respectively. y decreases with the increase of x, k<0, the image is in the second and fourth quadrants, and y increases with the increase of x.