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在曲线的参数方程中,对于参数t的每一个允许值,由参数方程所确定的点(x,y)都在这条曲线上;另一方面,对于曲线上的任一点M(x_0,y_0),在t的允许取值范围内,都至少存在一个t_0,满足。因而,我们在运用参数方程解题时,必须充分注意这个关系,可是,在现行的一些数学书刊、资料中,却往往忽视了这种关系。本文想从两个方面来说明。 一、要充分注意参数的取值范围
In the parametric equation of the curve, for each allowable value of the parameter t, the point (x, y) determined by the parametric equation is on this curve; on the other hand, for any point M on the curve (x_0, y_0 In the allowable value range of t, there is at least one t_0, satisfying. Therefore, when we use parametric equations to solve problems, we must pay full attention to this relationship. However, in some current mathematics publications and materials, we often overlook this relationship. This article wants to explain from two aspects. First, pay attention to the value range of the parameters