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在初中数学中,反比例函数的应用问题占有一定的地位,也往往是历年中考中必考且易出错的题目.笔者在初三复习时,与学生共同探讨一道错解题的过程中,发现了一个关于直线与双曲线相交所成线段之间的等量关系,使我们对函数知识有了更深层次的理解,也使解题教学有了创造性的收获.原题再现如图1,已知函数y=-x+1的图象与x轴,y轴分别交于点C,B,与双曲线
In junior high school mathematics, the application of inverse proportion function occupies a certain position, but also often over the years in the test will be the test and error-prone topic.I review the third day, together with the students to explore a wrong solution in the process, found A straight line and hyperbolic intersection of the same line between the segments, so that we have a deeper understanding of the function of knowledge, but also to make the problem-solving teaching a creative harvest of the original title reproduced in Figure 1, the known function The image with y = -x + 1 intersects the x-axis and the y-axis respectively at points C, B, and hyperbolic