GeoGebra软件在条件极值问题求解中的应用举例

Application Examples of GeoGebra Software in Solving the Conditional Extremum Problem

随着科学技术飞速发展,数学在各个学科、各个领域中的应用越来越广泛,已日益成为重要研究应用的手段和工具。高等数学中条件极值问题的教学中,学生较难理解驻点与极值点的选取标准,并对极大、极小值点的判断较为困惑。文章通过将条件极值问题的四个实例用高等数学知识和GeoGebra软件相结合的求解方法,直观地帮助学生理解、掌握相关知识,以激发学生学习数学的兴趣和提高学生应用数学解决实际问题的能力。

With the rapid development of science and technology,mathematics is more and more widely used in various disciplines and fields,and has increasingly become an important means and tool for research and application.When explaining the solution of conditional extreme value problems in higher mathematics,it is difficult for students to understand the selection criteria of stationary point and extreme point,and they are confused about the judgment of maximum and minimum points.Four examples of conditional extreme value problems are combined with advanced mathematics knowledge and Geo Gebra software to help students understand and master relevant knowledge in an intuitive way,so as to stimulate students’interest in learning mathematics and improve students’ability to apply mathematics to solve practical problems.