弧长概念与弧微分公式的教学探讨

Exploration of Teaching Methods on Concept of Arc length and Formula of Arc Differential

我们基于穷举法的思想介绍一种光滑曲线的弧长的严格定义并由此推导出弧微分公式,从而帮助学生更好地理解并掌握相关的知识点.

Based on the method of exhaustion, we introduce a rigorous definition of the arc length for smooth curves and then deduce the formula of arc differential, to help students understand and learn related knowledge points better.