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求异思维是人类高级的心理活动,它是一种不依常规,寻求变异,沿着不同方向思考问题,从多方面寻求答案的思维形式.其突出特点是创新的.“创新是不断进步的灵魂.创新,很根本的一条是靠教育,靠人才.”开发学生的创新潜能,主要靠教师的激励和引导,靠学生从事创造性活动的锻炼.本文介绍笔者在执教中的几个实例. 例 1 已知 a2+3a-7=0,b2+3b-7=0,求a2/b+b2/a的值. 这是笔者发表在一家公开刊物上的例子.原解答应用韦达定理,通过设而不求的解题策略,用整体代换的方法求得结论为12 6/7.一位学生就提出,本解答只注意到a≠b的情况,而
Differentiating thinking is a high-level mental activity of mankind. It is a thinking form that does not follow convention, seeks variation, considers problems in different directions, and seeks answers in many ways. Its outstanding feature is innovation. “Innovation is the soul of continuous improvement. Innovation, a very fundamental one is to rely on education, relying on talent. "Development of students’ innovative potential, mainly rely on the incentive and guidance of teachers, rely on students to engage in the exercise of creative activities. This article describes the author’s several examples in coaching. Example 1 Knowing that a2+3a-7=0 and b2+3b-7=0, find the value of a2/b+b2/a. This is an example published by the author in a public journal. The original answer applies the Weida theorem. Instead of seeking a problem-solving strategy, a total substitution method was used to obtain a conclusion of 12 6/7. One student proposed that this solution only notices the situation of a≠b.