节点文献
椭圆上距离任意已知点最远或最近的点分析
The Analyse for the Farthest Points and the Proximate Points on the Ellipse to a Random Known Point
【摘要】 采用微分几何与函数极值分析相结合的方法 ,利用椭圆星形线的特性 ,确定了椭圆上的几何切点与距离函数极值点的对应关系 ,指出了距离函数极值点存在的几何区域 (或条件 ) ,建立了最远点及最近点的准确数值计算方法 .
【Abstract】 By adopting the method which combines differential coefficient geometry method and function extremum analyse method,and by making use of the characteristic of the astroid,it ascertains the corresponding relation between the geometry tangent points of the Ellipse and the function extremum points of the distance function,points out the geometry region(or condition) for presence of the function extremum points,sets up the nicety method of numerical value computing for the farthest points and the proximate points on the ellipse to a random known point.
【关键词】 椭圆;
极值;
星形线;
最远点;
最近点;
【Key words】 ellipse; extremum; astroid; farthest point; proximate point;
【Key words】 ellipse; extremum; astroid; farthest point; proximate point;
- 【文献出处】 数学的实践与认识 ,Mathematics In Practice and Theory , 编辑部邮箱 ,2004年08期
- 【分类号】O186.1
- 【被引频次】4
- 【下载频次】121