介值定理在连续函数中的应用

On the Application of Intermediate Value Theorem to Continuous Function

《高等数学》中的介值定理在连续函数中具有广泛的应用性。比如,可以体现在推导、解不等式、判断方程根与反函数的存在性以及实际问题等五个方面。归纳介值定理的应用范围,可以使学生更好地了解和应用介值定理。

Intermediate value theorem can be applied to continuous function in Higher Mathematics, which is found in derivation, working out inequality, judging equation root, the existence of inverse function and practical application. The purpose of inducing intermediate value theorem＇s scope in application is to help students have a good command of this theorem.