数学解题之一题多解与多题一解

摘 要本文意在明确一题多解与多题一解与学生思维能力进展之间得关系,从而使老师在数学解题教学过程中更加重视解题方法对学生思维能力得培育。本文通过两种典型例题即一题多解型与多题一解型得讲解,阐述了通过不同得例题可以达到对学生思维能力得训练培育得目得。通过一题多解,可以开阔学生思路、发散学生思维,让学生学会多角度分析与解决问题;通过多题一解,能够加深学生得思维深度,分析事物时学会由表及里,抓住事物得本质,找出事物间内在得联系。与此同时,对一题多解与多题一解得运用,要注意相互结合,灵活运用,不可只求一技,失之偏颇。关键词:一题多解 多题一解 思维能力 Abstract A multi solution with multi-title, a solution is a monly used method in the teaching of mathematical problem solving、 To a given problem, can mathematical knowledge has been an organic gathering of students' divergent thinking is a good opportunity for its exercise; a solution of the multi-title, students can digest the knowledge, but also training the students of the Idea、 In this paper, two typical example that is a question to the multi-solution and multi-title solution-based explanation on the purpose of training the training of the students' thinking abilities can be achieved through different examples 、 To a given problem, you can broaden the horizons of the students 'thinking, divergent thinking of the students, for students to learn multi-angle analysis and problem solving; a solution more than the question, can enhance students' depth of thinking, learn to analyze things from outside to inside, to seize the the nature of things, find things intrinsically linked、 This article is intended relationship between the development of the ability to clear a given problem and a solution of the multi-title, with students thinking, so that teachers pay more attention to the culture of problem-solving approach to students' thinking abilit...