论文部分内容阅读
本文在使“學生獲得關於函數之基本知識,和將來需要的技能”的目的之下,細緻地指岀在八九年級如何講解這個重要論题。著者為了說明自己的講法不厭煩地舉出相當的多例和圖形,本文前部着重指岀:1°函數定義域之確定;2°就圖形來研究函數;3°函数研究與具體問題之連系(尤其指岀佔有重要地位的極大極小問題);4°圖形觀察對於方程解答的幾何說明的應用。本文後部繼續指岀前部1°、2°如何可以應用到指數函數或對數函数的研究上;最後提及圖解方程以求其近似根的這件事。我們認為:目前我國正在進行教學改革,無論大,中,小學其教材和教法都是採用蘇聯的和學習蘇聯的。本文不只由於提岀“函数及其圖形”的教法,對中學教學教師有益;而且以目前大一學生數學程度參差不齊,高等数學不能不有適當的講法和補充的教材,所以本文對于高等學校数學教師也有重要的啟示。
This article, under the purpose of “students gaining basic knowledge of functions and skills needed in the future”, meticulously points out how to explain this important topic in grades eighty-nine. In order to illustrate his own method, the author does not tire of citing many examples and graphs. The front part of this article focuses on the definition of the 1° function definition domain; 2° on the graph to study the function; 3° function study and the specific problem. Department (especially the maximal minimal problem that 岀 occupies an important position); the application of the 4° graphical observation to the geometrical explanation of the equation solution. The remainder of this article continues to refer to how the frontal 1° and 2° can be applied to the study of an exponential function or logarithmic function; and finally, the matter of the graphical equations to find their approximate roots. We believe that at present China is carrying out teaching reforms. The teaching materials and teaching methods of major, middle and elementary schools all use the Soviet Union and the Soviet Union. This article is not only useful for teaching teachers in middle schools because of mentioning the teaching of “functions and graphs”; but also because the current level of mathematics among freshman students is not uniform, and advanced mathematics must not have appropriate teaching methods and supplementary materials. Mathematics teachers in colleges and universities also have important inspiration.