介值定理在中学数学中的应用

The Applying of the Interposed Values Theory

文章主要讨论介值定理在中学数学中的应用。在中学数学中介值定理主要应用在下列三类问题:(1)方程根的分布;(2)解不等式;(3)反函数的存在性与定义。

In this paper, we will foucs on the applying of the Interposed Values theory in High-School mathematics. In general, the applying of the theory is associated with the following question: a) The distribution of the solution of an algebraic equation. b) The solution of the inequality. c) The existent value and concept of the inverse function.