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arXiv 2607.10121math.GM

三角函数的OFFER(一图展现所有关系)

OFFER (One-Figure-Facilitates-Every-Relationship)for Trigonometric Functions

Samuel S. P. Shen

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中文总结 AI 辅助

介绍用单个图形展示三角函数等内容的OFFER方法及SPORT学习法,方便数学教学,助于有效数学学习。

中文摘要 AI 辅助

本文介绍一种用单个图形说明所有六个三角函数、其基本恒等式及余弦定律的方法,将此方法命名为OFFER以方便数学教学。文章还描述了有效数学学习的SPORT(故事-图片-观察-回顾-讲述)方法。

英文摘要

This article describes an approach that uses a single figure to illustrate all six trigonometric functions, their fundamental identities, and the law of cosines. We name this method OFFER (one-figure-facilitates-every-relationship) for the convenience of mathematics teaching. The article also describes the SPORT (story-picture-observe-review-tell) approach to effective mathematics learning.

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