作　　者： ; ; ;

机构地区： 华南师范大学

出　　处： 《大学物理实验》 2011年第1期73-76,共4页

摘　　要： 实验教学中存在带有非线性函数规律的验证实验,利用传统方法作图处理再确定函数关系比较困难,而且计算量大,效率低。本文提供一种便捷的方法,通过先把非线性函数进行线性化处理再利用Microsoft origin作图软件处理分析实验数据,让处理分析数据及确定非线性函数关系式更直观,更简易。本文以验证纯电阻焦耳定律和测定放射性元素的平均寿命两个实验为例,分析幂函数及指数函数两类常见非线性函数线性拟合,介绍这种线性化与origin处理合一方法的便利性。本方法适合实验教学中学生处理和分析非线性函数的实验中的应用。 There are many confirmatory experiments with nonlinear function in the experimental results in experiment teaching.It is difficult to use the traditional method to determine the function relation after drawing process,and it leads to a large amount of calculation and poor efficiency.This paper provides a convenient method,which transforms the nonlinear function into the linear one before analyzing the experimental data by Microsoft origin,to make the analysis of data and the certainty of the relationship of nonlinear function simpler and more intuitive.Take the verification of joule law of pure resistance and the determination of average life of two radioactive elements as an example,this paper analyzes the straight line fitting of two common nonlinear function which is the power function and exponential function,and introduces the convenience of the method which integrates the straight linear fitting and origin.This method can be applied in processing and analyzing nonlinear function by students in experiment teaching.

关 键 词： 非线性函数 线性化 线性拟合

领　　域： [理学] [理学]