- 學位論文
高中教甄之二次曲線問題探討
High school Teach Validation Test in the Questions of Quadratic Curves
摘要
本研究旨在探討高中教師甄試二次曲線相關問題，本研究以高中教甄題目為基礎，收集、分類與二次曲線相關的試題。進一步歸納解題技法與多種解題方法以引導資優學生在遇到此單元時，能夠有系統式的解題思維模式，並刺激學生進行多元思考。 本研究經文獻探討與分析試題得到以下結論: 一、藉由幾何思考可以減少代數解題的計算量 二、利用光學原理能夠有效處理錐線與切線問題 三、結合微積分能夠有效的處理問題
關鍵字
二次曲線並列摘要
The purpose of this study is to explore the issues related to the quadratic curve of senior high school teachers. This study is based on the subject of high school education and collects and classifies the questions related to the quadratic curve. Further introducing problem-solving techniques and a variety of problem-solving methods to guide gifted students in the encounter with this unit, they can have a systematic problem-solving mode of thinking, and stimulate students to think in multiple ways. This study has reached the following conclusions through literature review and analysis questions: 1) Geometry can reduce the amount of calculations for algebraic problem solving 2) Using optical principles to effectively deal with cone and tangent problems 3) Combining Calculus with Effective Problems