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数學中的基本概念、性质、法則、定理和公式,是解題和推理的根据,也是整个数学的基本內容,对于这些基本知識,应使学生有清晰的认識,透彻的理解,牢固的记。为了确实达到这一目的,教师必須认真的钻研教材,挖掘教材的內在联系,掌握知識的規律。只有这样在教学中才能有系統地前后連貫地完整地把真正的科学知識传授給学生,使学生知識不断的累积扩大与加深;才能发展学生的认識能力和創造才能,进一步掌握知識的发展規律性并把学过的知識运用于实际中。所以我认为这是教学工作中最重要的一环。这里阐述笔者根据現行三角課本并遵循教学大綱(修訂草案)重点研究各部分教材內在联系的体会。一、关于三角函数的基本概念和基本性貭三角課本的前三章絕大部分是研究三角函数的基本概念和基本性貭的,这些概念和性质,是学习三角的重要部分,如果能通过函数图象进行耕授,学生不但能获得新知識,且又能复习和巩固旧知識,使知识系統化,易理解,易于掌握,便于应用。
The basic concepts, properties, laws, theorems, and formulas in mathematics are the basis for problem solving and reasoning, as well as the basic content of the entire mathematics. For these basic knowledge, students should have a clear understanding, a thorough understanding, and a firm record. . In order to really achieve this goal, teachers must carefully study teaching materials, tap the internal links of the teaching materials, and master the laws of knowledge. Only in this way can we systematically and consistently deliver true scientific knowledge to students in a consistent and complete manner, so that students’ knowledge can be continuously expanded and deepened. Only in this way can students develop their cognitive abilities and creative talents, and further develop the rules of knowledge development. Sex and apply the learned knowledge to practice. So I think this is the most important part of teaching work. Here I describe the author’s experience of focusing on the internal links of the various teaching materials based on the current triangle textbooks and following the syllabus (revision draft). I. Basic Concepts and Basicities of Trigonometric Functions The first three chapters of textbooks are mostly basic concepts and basic concepts for the study of trigonometric functions. These concepts and properties are important parts of learning triangles. With the images being given, students can not only acquire new knowledge, but also can review and consolidate old knowledge, make knowledge systematic, easy to understand, easy to master, and easy to apply.