解二次方程的「規矩」

Research output: Contribution to journalArticle

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.
Original languageChinese
Pages (from-to)95-99
Journal數學教育期刊
Volume45
Publication statusPublished - 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