数形结合作为一种重要的数学思想方法,被解析几何予以了完美地体现.这是因为借助于直角坐标系,我们可以将有序实数对(x,y)与平面上的点建立起对应;有序实数对所满足的等量关系 f(x,y)与平面上的曲线建立起对应.在此基础上,我们就可以运用代数的方法来研究平面图形的形状、大小及其位置 The combination of number and shape is an important method of mathematics and it is perfectly represented by analytic geometry. This is because with the Cartesian coordinate system, we can associate the ordered real number pair (x,y) with the point on the plane. An ordered real number corresponds to a satisfying equivalent relationship f(x,y) to a curve on a plane. On this basis, we can use algebraic methods to study the shape, size, and position of a planar figure.