论文部分内容阅读
数学中充满矛盾,对立面常常在一定条件下可以互相转化,这是唯物辩证法在数学思想方法上的体现。转化的方向一般是把未知的问题朝已知的方向转化,把难的问题朝较易的方向转化,把繁杂的问题朝简单的方向转化,把生疏的问题朝熟悉的方向转化。我们把有待解决而未解决的问题,通过转化过程,归结为熟悉的规范性问题或能够解决的问题,从而求得问题解决的思想方法,称之为化归思想,它是解答数学问题最常见的思想方法之一。那么,如何用化归思想求解圆锥曲线问题呢?
Mathematics is full of contradictions, and opposites can often be transformed under certain conditions. This is the embodiment of materialist dialectics in mathematical thinking. The direction of transformation is generally to turn unknown problems in a known direction, to transform difficult problems in easier directions, to transform complex problems in simple directions, and to turn strange problems into familiar directions. We resolve the unresolved problems through the conversion process, and we come down to familiar normative problems or problems that can be solved, so as to obtain a solution to the problem. We call it the idea of return, which is the most common solution to math problems. One of the ways of thinking. So, how to solve the problem of conicity with the idea of transformation?