《中小学数学》(初中版)2012年第5期毛立武的《给三角形全等补充一个判定定理》一文,充分说明了作者善于探索、研究,重视归纳整理,从不同角度寻求解决问题的方法,值得学习、借鉴.现本人给出另一种解法,算是对毛立武老师解法的补充.原题为:如图所示,一次函数y=kx-2(k>0)与双曲线y=k/x在第一象限内的交点为R,与x轴、y轴的交点分别为P、Q,过点R作RM⊥x轴于M点,若△OPQ与△MPR的面积相等,则k的值等于多少? Mao Liwu’s article “A Judgment Theorem for Supplementing Triangle Congruence” fully demonstrates that the author is good at exploring, researching, focusing on induction and collation, and seeking solutions to problems from different angles. It is worth learning from. Now I give another solution, be regarded as a supplement to the solution of the teacher Mao Liwu. Original title: As shown, a function y = kx-2 (k> 0) and hyperbolic y = k / x in the first quadrant of the intersection of R, and the x-axis, y-axis intersection points were P, Q, R point over the point for the RM ⊥ x axis at point M, if △ OPQ and △ MPR area equal, then k How much is the value?