高中數學三角函數教材之研究

本研究旨在探討普通高中生數學的學習需求。以高中數學領域課綱範圍為基礎。以搜集、整理、分類、解析相關題目，藉由教材讓學生對數學問題有不同的思考方向，了解其實質意義上的多樣化，活化並激勵學生的學習。大綱如下： 1、高中數學之三角函數的教材，能讓學生不斷思考解題技巧，在驗證答案的過程中，培養其分析圖形與多元化思考的能力。 2、研究者就「銳角三角函數、三角函數的基本關係、廣義角的三角函數、正弦定理與餘弦定理、內插法及三角測量、三角函數的圖形、和角公式、倍角、半角與三倍角公式、積化和差與和差化積、正弦與餘弦函數的疊合」來做整合。

關鍵字

三角函數；高中數學

並列摘要

The main purpose of this study is solving learning requirement of mathematical in senior high school. Based on Mathematics Learning Area in Grade 1-9 Curriculum, writing teaching materials of Trigonometric in Senior High School. And we serve variety problem solving to make student think. The outline is on the following: 1. Using teaching materials of trigonometric in senior high school can make student think about problem solving skills. In the process of checking answers, we can try to train students abilities by analysing graphs and variety thoughts. 2. The researchers finish this project as 〝Acute Trigonometric, Identities of Trigonometric, The Trigonometric Functions of a Generalized Angle, Sin Law and Cos Law, Interpolation and Triangulation, The Graphs of Trigonometric, Half-Angle Formula, Double-Angle Formula, Triple-Angle Formula, Product-To-Sum and Sum-To- Product Identities, Composite of Sin and Cos.〞