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关于三角形中线与内角平分线的两个不等式
Two Inequalities for Triangle’s Median and Inner Angular Bisector
【摘要】 应用三角形不等式中强有力的R-r-s方法,建立了仅涉及内角平分线与中线的两个优美不等式,提出了一个求最小指数值的问题,应用计算机验证了两个有关的猜想不等式.
【Abstract】 The important method of R-r-s is employed to derive two beautiful inequalities for triangle’s inner angular bisector and median.Then a question about gaining the minimum exponent is put forward.Two relevant conjectured inequalities are proposed and calculated with the computer.
【关键词】 三角形;
中线;
内角平分线;
不等式;
猜想;
【Key words】 triangle; median; inner angular bisector; inequality; conjecture;
【Key words】 triangle; median; inner angular bisector; inequality; conjecture;
- 【文献出处】 曲靖师范学院学报 ,Journal of Qujing Normal University , 编辑部邮箱 ,2006年06期
- 【分类号】O123
- 【被引频次】1
- 【下载频次】140