在学习不等式时,有些问题要涉及分人、分物,按一种方案分配有剩余,按另一种方案分配则不够,我国古代称这类问题为“盈不足”问题,《九章算术》对此有详细的介绍.下面我们就来看看这类题的解法.人教版数学教科书七年级下册习题9.3第6题:把一些书分给几名同学,如果每人分3本,那么余8本;如果前面的每名同学分5本,那么最后一人就分不到3本.这些书有多少本?共有多少人?分析:设共有x人,则书有(3x+8)本.由 In studying inequality, some problems involve the separation of people and things, the distribution of surplus by one plan and the distribution by another plan. In ancient China, this type of problem was called “insufficient profit”. “Chapter Nine Arithmetic ”a detailed introduction to this. Here we take a look at the solution to these problems. PEP mathematics textbooks under the seventh grade Exercises 9.3 sixth question: a number of books assigned to several students, each divided into 3 If there are 5 students in front of each class, then the last one is less than 3. The number of these books? How many people? Analysis: Suppose there are x people, the book has (3x + 8) this. From