数学分析在高等代数与解析几何解题中的应用

Some Applications of Mathematical Analysis in Higher Algebra and Analytic Geometry

数学分析是集科学性、严密性、连贯性于一体,其丰富的内容和精深的思想为后续各学科理论学习提供了坚实的基础。本文利用数学分析思想和方法解答高等代数和解析几何中的一些典型例题,对比求解方法的难易程度,探讨不同的解题方法和思维方式。这样不仅有利于提高教师的教学和研究水平,而且能够提高学生综合解题能力。

Mathematical analysis has scientific, rigour and coherence. Its rich contents and profound thinking provide a solid foundation for the follow-up theoretical study of various disciplines. In this paper, we will focus on the applications of mathematical analysis method in higher algebra and analytic geometry and compare different methods in order to explore the thinking way. It can help improve teachers’ teaching level and increase students’ ability to solve problems.