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曲线与方程是在轨迹概念和直线方程概念之后的解析几何的基本概念,在充分讨论曲线方程概念后,了解了坐标法和解析几何的思想,以及解析几何的基本问题。即由曲线的已知条件,求曲线方程;通过曲线方程还可以研究曲线性质。曲线方程的概念和求曲线方程的问题有着内在的逻辑顺序。前者回答什么是曲线方程,后者解决如何求出曲线方程。曲线与方程都是建立在一定的平面直角坐标系中的,因此,如何建立恰当的坐标系,对建立方程和了解曲线至关重要。
Curves and equations are the basic concepts of analytic geometry after the concept of trajectory and the concept of linear equations. After fully discussing the concept of the equation of the curvilinear, the idea of coordinate and analytic geometry and the basic problems of analytic geometry are studied. That is, from the known conditions of the curve, find the curve equation; through the curve equation can also study the nature of the curve. The concept of a curve equation and the problem of finding a curve equation have an inherent logical order. The former answers what is the equation of the curve and the latter solves the problem of how to find the equation of the curve. Curves and equations are based on a certain plane rectangular coordinate system, so how to set up the proper coordinate system is very important for establishing equations and understanding curves.