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在直角坐标系中,坐标平面上的点和它的坐标之间是一一对应关系,而在极坐标系中,如果对极径ρ和极角θ不作限制,点和其坐标之间就不是一一对应,而是一对无穷多。这样,在极坐标系中讨论点和曲线时,就和在直角坐标系中不尽相同,学生在这方面也最容易产生错误。本文拟对几个常见的问题,提出几个处理方法,供同志们参考。一、关于点的坐标在直角坐标系中,点的坐标是唯一的。而在极坐标系中,点的坐标有无穷多个表达
In a Cartesian coordinate system, there is a one-to-one relationship between the point on the coordinate plane and its coordinates. In the polar coordinate system, if the polar diameter ρ and the polar angle θ are not limited, the point and its coordinates are not One to one correspondence, but one pair is infinite. In this way, when discussing points and curves in polar coordinates, it is not the same as in Cartesian coordinates. Students are also most likely to make mistakes in this respect. This article proposes several processing methods for several common problems for reference by comrades. First, about the coordinates of the point In the Cartesian coordinate system, the coordinates of the point are unique. In the polar coordinate system, the coordinates of the point have infinitely many expressions.