%0 Journal Article
%T 中学基本初等函数导数的高观点证明<br>A High View Proof of the Derivative of Basic Elementary Functions in Middle School
%A 刁玉存
%A 徐苏苏
%A 徐志恒
%A 蒋依夏
%J Pure Mathematics
%P 1629-1635
%@ 2160-7605
%D 2022
%I Hans Publishing
%R 10.12677/PM.2022.1210176
%X 初等数学作为高等数学层面上的特例，往往不一定对所有数学概念、命题和数学系统满足逻辑和结果的无矛盾性。本文以高等数学范畴的两个重要极限给出对指数函数、对数函数、正弦函数和余弦函数的导数的证明，提高和拓宽学生的思维视角和逻辑起点，并利用高观点的数学思想方法来审视中学教学。<br />
As a special case of higher mathematics, elementary mathematics often does not necessarily satisfy the contradiction-free logic and results for all mathematical concepts, propositions and mathemati-cal systems. This paper gives the proof of the derivative of exponential function, logarithmic func-tion, sine function and cosine function with two important limits of the category of higher mathe-matics, so as to improve and broaden the students’ thinking perspective and logical starting point, and use the mathematical thinking method of high point of view to examine middle school teaching.
%K 初等数学，高等数学，特例，重要极限，高观点<br>Elementary Mathematics
%K Advanced Mathematics
%K Exceptions
%K Important Limit
%K High Opinion
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=56832