反比例函数y=k/x(k为常数,k≠0)的图像是双曲线.当k>0时,双曲线的两支分别在第一、三象限,在每个象限内,y随x增大而减小,如图1;当k<0时,双曲线的两支分别在第二、四象限,在每一个象限内,y随x增大而增大,如图2,双曲线的渐近线是两坐标轴. The image of the inverse proportional function y=k/x (k is a constant, k≠0) is a hyperbola. When k>0, the two branches of the hyperbola are in the first and third quadrants respectively. In each quadrant, y is related to x. Increase and decrease, as shown in Figure 1. When k<0, the two branches of the hyperbola are in the second and fourth quadrants. In each quadrant, y increases with x, as shown in Figure 2. Hyperbola The asymptotes are two axes.