题目
Problem
The equation of a curve is such that , where is a positive constant. The curve has a stationary point at .
(a) Find the value of .
[2]
(b) Determine the nature of this stationary point.
[2]
(c) Find the equation of the curve.
[3]
(d) Find the coordinates of any other stationary points on the curve.
[2]
题目中文翻译
一条曲线满足 ，其中 为正常数。该曲线在 处有一个驻点。
(a) 求 的值。
(b) 判断这个驻点的性质。
(c) 求该曲线的方程。
(d) 求该曲线上任何其他驻点的坐标。