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反比例函数y=k/x是初中数学中的一类重要的函数,它的图像双曲线的本质特点是:1.图像上任意一点P(x,y)的横、纵坐标之积为k;即xy=k.2.图像上任意一点向坐标轴引垂线与坐标轴所构成的矩形AOBP面积为|k|(如图1).这就使得矩形在解决有关双曲线的问题时有了特殊作用.笔
The inverse proportion function y = k / x is an important class of functions in junior high school mathematics. The essential features of the image hyperbola are as follows: 1. The product of the horizontal and vertical coordinates of any point P (x, y) on the image is k; That is, xy = k.2. Any point on the image is drawn perpendicular to the coordinate axis and the rectangular AOBP area formed by the coordinate axis is | k | (as shown in Figure 1). This makes the rectangle solve the hyperbolic problem Special effect