反比例函数y=k/x(k≠0)中k的几何意义:若P(x,y)是双曲线y=k/x(k≠0)上的任意一点,过P作PM⊥x轴于M,作PN⊥y轴于N,则|k|=S矩形OMPN。这是一个重要的知识点,我们常常利用k的几何意义解题。现举例如下: 例1 (江苏扬州市中考题)已知P是反比例函数y=-k/x上一点,若图中阴影部分的矩形面积是 The geometric meaning of k in the inverse proportional function y=k/x(k≠0): If P(x,y) is any point on the hyperbole y=k/x(k≠0), P is the PM⊥x axis. In M, for PN y axis in N, then |k|=S rectangular OMPN. This is an important point of knowledge. We often use the geometric meaning of k to solve problems. Examples are as follows: Example 1 (in the examination question in Yangzhou City, Jiangsu Province) It is known that P is an inverse function y=-k/x, if the area of ​​the rectangle in the shaded part is