变量代换法在数学中的应用.docVIP

word文档整理分享 参考资料 变量代换在数学中的应用 摘 要 变量代换法是研究和解决数学问题的方法之一，属于数学变换方法的一种，就是把将要解决而不易解决的问题先进行变量代换，使之转化。它在高等数学的学习过程中是一项非常重要的实用方法，不仅是一种重要的解题技巧，还是一种重要的数学思维方法，这种方法几乎贯穿了高等数学的全部内容，具有灵活性和多样性的特点。本文通过对变量代换法在高等数学各个章节中的运算中的应用进行了总结，对变量代换法在高等数学中某些方面的应用进行深入探讨，分析其特点和技巧，以求科学、准确地应用此方法来解决数学问题，同时使得学生能够在学习高等数学时充分把握并能够熟练、灵活运用好这种方法，提高学生的解题能力。 关键词：变量代换法；数学；运用 Abstract Variable substitution method is one way to study and solve math problems, a mathematical transformation method belongs, that is going to solve the problem is not easy to be the first variable substitution to make the conversion. Its in the process of learning mathematics is a very important practical methods, not only is an important problem-solving skills, mathematical thinking is an important approach that has permeated the entire contents of the higher mathematics, with flexible Features and diversity. Based on the method of calculation of variable substitution in various sections of higher mathematics are summarized in the application of variable substitution method in the application of certain aspects of higher mathematics in-depth discussion, analysis of the characteristics and skills, in order to science, accurately apply this method to solve math problems, while allowing students to fully grasp in learning mathematics and proficient, flexible use of this method is good to improve students problem-solving abilities. Keywords: Variable substitution method; Mathematics; Use 目 录 TOC \o 1-3 \h \z \u HYPERLINK \l _Toc384798775 1 引言 PAGEREF _Toc384798775 \h 1 HYPERLINK \l _Toc384798776 2 变量代换概述 PAGEREF _Toc384798776 \h 2 HYPERLINK \l _Toc384798777 2.1变量代换法的定义 PAGEREF _Toc384798777 \h 2 HYPERLINK \l _Toc384798778 2.2变量代换法的意义 PAGEREF _Toc384798778 \h 2 HYPERLINK \l _Toc384798779 2.3变量代换的分类 PAGEREF _Toc384798779 \h 3 HYPERLINK \l _Toc384798780 3 变量代换法的应用 PAGEREF _Toc384798780 \h 3 HYPERLINK \l _Toc384798781 3.1在函数部分的应用 PAGEREF _Toc384798781 \h 4 HYPERLINK \l _Toc384798782 3.2在极限部分的应用 PAGEREF _Toc3