Abstract
本文介紹解實系數二次方程的幾何作圖法，還用幾何法導出以下三個有關二次方程的重要結果：根和系數的關係、判別式和實根數目的關係、求根公式。
In this article, we introduce the method for solving quadratic equations by geometric constructions. We also deduce by geometric arguments the following important results on the theory of quadratic equations: relation between roots and coefficients, relation between the discriminant and the number of real roots, the quadratic formula. Copyright © 2011 Department of Mathematics and Information Technology, The Hong Kong Institute of Education.
In this article, we introduce the method for solving quadratic equations by geometric constructions. We also deduce by geometric arguments the following important results on the theory of quadratic equations: relation between roots and coefficients, relation between the discriminant and the number of real roots, the quadratic formula. Copyright © 2011 Department of Mathematics and Information Technology, The Hong Kong Institute of Education.
| Original language | Chinese (Traditional) |
|---|---|
| Pages (from-to) | 95-99 |
| Journal | 數學教育期刊 |
| Volume | 45 |
| Publication status | Published - Jun 2011 |
Citation
梁景信(2011)：解二次方程的「規矩」，《數學教育期刊》，45，頁95-99。Keywords
- 判別式
- 二次方程
- 幾何作圖
- Alt. title: Solving quadratics equations by geometric constructions