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新课标指出,数学能力的核心是思维能力,类比思维能力是思维能力的具体体现.在平时的学习中,我们用类比的思想可以轻松地发现新的结论或命题,圆锥曲线的学习就是一个很好的例子.本文以圆锥曲线为例浅谈类比思维能力的培养.数学教育家波利亚说:“类比是一个伟大的引路人”.数学史上有许多数学家通过类比发现了许多重要的数学结论.在数学教学与研究中,类比是进行合情推理的一种非常重要的思维方法,高中数学新课程也已经将类
The new curriculum pointed out that the core of mathematical ability is thinking ability, the ability of analogical thinking is a concrete manifestation of thinking ability.In normal learning, we can easily find new conclusions or propositions by the analogy thought, and the study of conic curve is a A good example of this paper, the conic curve as an example to talk about the cultivation of analogical thinking ability. Math educator Polia said: “Analogy is a great guide.” Many mathematical mathematicians in the history of the analogy found many Important mathematical conclusion.In mathematics teaching and research, analogy is a very important method of reasoning reasoning, high school mathematics curriculum has also been a class