初等超越函数超越性的证明

摘要

在中学数学里，仅研究初等超越函数，但对其证明没有涉及，作为教师，应该掌握初等函数超越性的证明。文章首先介绍了初等函数的定义及其分类，进而分析了各类初等函数的定义，接着探讨了指数函数的超越性、三角函数、反三角函数的超越性等问题。%In the middle school mathematics, only to study elementary transcendental function, but did not involve the show, as teachers, we should grasp the elementary function transcendental proof. This paper firstly introduces the definition and the classification of elementary function, and then analyzes all kinds of the definition of elementary function, and then discusses the transcendence of the exponential function, trigonometric function, the transcendence of inverse trigonometric function.