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在生活中我们可以观察到很多拉伸变换的现象,比如弹簧的拉伸等.这让我们数学探究小组联想到了能否借用“拉伸”来帮助我们解决正在学习的圆锥曲线相关问题,这引起了我们的积极讨论.在几何图形中,长与短、圆与椭圆都可以经过拉伸(伸缩)来相互转换,而这个转换的代数本质就是换元.我们小组把这个转换方式称为拉伸原理.现在就让我们来具体谈谈什么是拉伸原理,以及它的妙用和展望.
In life, we can observe a lot of stretching transformation phenomenon, such as the spring stretch, etc. This makes our mathematical inquiry team think of the possibility of borrowing “stretch ” to help us to solve the conic related problem is being studied, This led to our active discussion.In geometry, long, short, circle and ellipse can be stretched (telescopic) to convert each other, and the conversion of the nature of the algebra is the commutator.Our group called the conversion method Tensile principle Now let us talk about what is the principle of stretching, as well as its magical effect and outlook.