关于最大值的两个定理  

Two Theorems of Maxium

作　　者：柳俊婷 于兴江[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《聊城大学学报（自然科学版）》2015年第2期34-37,共4页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金资助项目(61403178)资助

摘　　要：利用几何画板工具探究了椭圆中的三角形面积的最大值问题,给出了过坐标轴上一定点的直线交椭圆的两点和原点构成的三角形.证明了当该定点到原点的距离超过某值时,该三角形面积的最大值仅与椭圆的长半轴、短半轴有关的两个定理.This paper is intended to explore the max area of a triangle of ellipse by useing The Geometer＇s Sketchpad tool.It gives a triangle which is made of origin of coordinates and the point P and Q,which are the point of intersection by a line l and a ellipse.The line l passed one point A which is on the coordinate axis.It proves the max of the triangle is a immovable figure which is related to the semi-major axis and the semi-minor axis of the ellipse when the longth of OA is big than a figure.

关 键 词：椭圆 三角形 面积 最大值 

分 类 号：O123.1[理学—数学]