随着信息技术的日益普及和发展,离散数学的应用越来越广泛.差分和差分方程是描述离散变量变化的重要工具,在理论上是十分重要的,并且有广泛的应用.新课程中的选修系列4-3就是数列与差分专题.本文试图借助几何画板对该专题中的一阶非线性差分方程展开研究性学习.人类社会进人20世纪以来,在科学技术与生产力飞速发展的同时,世界人口也以空前的规模增长,统 With the popularization and development of information technology, discrete mathematics is more and more widely used.Difference and difference equations are important tools to describe the variation of discrete variables, which are very important in theory and have a wide range of applications.In the new curriculum Elective series 4-3 is the series of numbers and differential topics.This paper attempts to use Geometry Sketchpad to study the first-order nonlinear difference equation in this topic.Human society entered the 20th century, while the rapid development of science and technology and productivity, The world’s population is also growing at an unprecedented scale