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三角形内角平分线与陪位中线的一个不等式
An inequality for the internal angle-bisectors and the symmedians of a triangle
【摘要】 采用三角形不等式的R-r-s方法,给出了有关内角平分线与陪位中线的一个不等式,并应用计算机验证提出了三个猜想不等式.
【Abstract】 The R-r-s method is used to establish an inequality for the internal angle-bisectors and the sysmmedians of a triangle,three conjectures verified by a computer are proposed.
【关键词】 三角形;
内角平分线;
陪位中线;
Euler不等式;
Gerretsen不等式;
【Key words】 triangle; internal angle-bisector; symmedian; Euler′s inequality; Gerretsen′s inequality.;
【Key words】 triangle; internal angle-bisector; symmedian; Euler′s inequality; Gerretsen′s inequality.;
- 【文献出处】 湖南理工学院学报(自然科学版) ,Journal of Hunan Institute of Science and Technology(Natural Sciences) , 编辑部邮箱 ,2007年04期
- 【分类号】O178
- 【下载频次】101