【摘要】 一题多解对基本概念基本技巧的把握是有效的甚至是不可替代的途径.众多方法中到底谁优谁劣呢?该文引入了效率指数,复习指数,技巧指数等定量指标,并以一个简单几何向量问题的多种证明方法为例,介绍了如何通过这些定量指标来评判不同方法的优缺点.指出了每一种方法其实都有其长处,应根据教学目的的不同,采用不同的方法.更多还原

【Abstract】 Multi-solutions to one problem is an irreplaceable way to master elementary conceptions and techniques.Which in such multi-solutions is better? In order to answer this question,it is introduced efficient index, reviewing index and skillful index,which presented a quantity evaluation technique.it is present several solutions to a famous vector problem.By using these conceptions to analyze the solutions,it is showed that each solution has its own character.A different method should be adopted according to different teaching and learning purpose.更多还原