论文部分内容阅读
在日常生活、生产劳动与科学技术中,常常遇到下面三种特殊的函数关系: 1.当自变量x扩大(或縮小)某一倍数时,函数y也随着扩大(或縮小)同样的倍数。例如当車床工作效率一定时,加工零件的数量(y)与工作时間(x)的关系就是这样。这种关系就是正比例关系。 2.当自变量x扩大(或縮小)某一倍数时,函数y反而縮小(或扩大)同样的倍数。例如面积一定时,矩形的长(y)与寬(x)的关系就是这样。这种关系就是反比例关系。 3.設z是两个独立变量x与y的函数。当x不变时,y扩大(或縮小)某一倍数,z也随着扩大(或縮小)同样的倍数;而当y不变时,x扩大(或縮小)另一倍数,z也随着扩大(或縮小)同样的倍数。例如距离
In daily life, production labor and science and technology, the following three special functional relationships are often encountered: 1. When the independent variable x expands (or shrinks) by a certain multiple, the function y also increases (or decreases) as the same multiple. For example, when the lathe work efficiency is certain, the relationship between the number of machined parts (y) and the working time (x) is such. This relationship is proportional. 2. When the argument x expands (or shrinks) by a certain multiple, the function y instead shrinks (or enlarges) the same multiple. For example, when the area is constant, the relationship between the length (y) and the width (x) of the rectangle is as follows. This relationship is inversely proportional. 3. Let z be a function of two independent variables x and y. When x is constant, y expands (or shrinks) a certain multiple, z also increases (or shrinks) by the same multiple; when y is constant, x expands (or shrinks) another multiple, and z follows. Expand (or reduce) the same multiple. For example distance