英语翻译Given a set of 148 points in a square with side length one,show that there is always a set of four of these points which lie interior to a circular disc of radius 1/9
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 05:35:44
英语翻译Given a set of 148 points in a square with side length one,show that there is always a set of four of these points which lie interior to a circular disc of radius 1/9
英语翻译
Given a set of 148 points in a square with side length one,show that there is always a set of four of these points which lie interior to a circular disc of radius 1/9
英语翻译Given a set of 148 points in a square with side length one,show that there is always a set of four of these points which lie interior to a circular disc of radius 1/9
已知一个边长为1的正方体的一个侧面有148个点,证明以其中4个点为圆的圆形边长一定小于1/9.
假设一个单位正方形内有148个点组成一个集合,证明:在其内一个半径为1/9的圆内总能找到四个该集合的元素。
已知一个边长为1的正方体的一个侧面有148个点,证明以其中4个点为圆的圆形边长一定小于1/9.
证明:因为正方体顶点为4,所以内部点共有148-4=144个
所以148个点把正方形均匀分布成13*13个小正方形,且每个正方形边长为1/13,所以对应的圈半径为1/13*根号2<1/9,原题得证。...
全部展开
已知一个边长为1的正方体的一个侧面有148个点,证明以其中4个点为圆的圆形边长一定小于1/9.
证明:因为正方体顶点为4,所以内部点共有148-4=144个
所以148个点把正方形均匀分布成13*13个小正方形,且每个正方形边长为1/13,所以对应的圈半径为1/13*根号2<1/9,原题得证。
收起