反比例函数涉及比例系数的几何意义的题目能有效考查同学们运用数形结合思想综合解决问题的能力,也是近几年中考常考考点之一.大家知道,根据反比例函数的意义可知:两个变量x与y的乘积是一个常数k(k≠0).因而过双曲线上任意一点P(x,y)作x轴、y轴的垂线,两垂线与坐标轴围成的矩形PQOR的面积(如图1)为:OR· The inverse proportion function involves the geometric meaning of the proportionality coefficient of the topic can effectively check the students to use the combination of the number of ideological ability to comprehensively solve the problem is also one of the common test sites in recent years.As we all know, according to the significance of the inverse proportion function: two variables The product of x and y is a constant k (k ≠ 0). Thus, P (x, y) at any point on the hyperbola is taken as the vertical line of x axis and y axis, and the rectangle PQOR Area (Figure 1): OR ·