著名的数学教育家波利亚曾说过:“当原问题看来不可解时,人类的高明之处就在于会迂回绕过不能直接克服的障碍,就在于能想出某个适当的辅助问题.”短短数语,导致了数学解题的关键所在.在解析几何中,这种迂回解题的思想——数形转换,更是屡见不鲜.今就巧用圆的几何性质解题,谈点感想,供同学参考. The famous mathematician educator Polya once said: “When the original problem seems irresolvable, the clever part of human beings is that they will circumvent obstacles that can’t be overcome directly. It is to think of an appropriate auxiliary problem. ”Several short words lead to the key to mathematical problem solving. In analytical geometry, this kind of circuitous problem-solving idea - the transformation of number forms, is more and more common. Now we use the geometric nature of the circle to solve the problem, to talk about Feelings, for students’ reference.