解析几何通过建立坐标系 ,用代数方法研究几何图形的形状、性质 .不论是求曲线的轨迹方程 ,或用解析法证明几何命题 ,还是研究曲线的性质 ,其坐标系往往是任意选取 .这种任意性会不会影响所得出的结论呢 ?即在同一问题中选取不同的坐标系 ,而使用同一形式的公式及判定条件 ,会 Analytic geometry establishes the coordinate system and uses algebraic methods to study the shape and nature of the geometry. Whether it is to find the trajectory equation of the curve, or to prove the geometric proposition by analytical method, or to study the nature of the curve, the coordinate system is often chosen arbitrarily. Will arbitrariness affect the conclusions drawn? That is, if different coordinate systems are selected in the same problem, using the same form of formula and determination conditions, will