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最近,文[1]引入了与三角形高线、内角平分线和中线平行的一个新概念——三角形的外心线.结合这个新概念,文[1,2]中通过类比三角形中与高线、内角平分线和中线相关的不等式,建立了与三角形外心线长相关的不等式如下.定理1[2]在锐角△ABC中,设三条外心线长为ea,eb,ec,外接圆半径为R,若λ≥1则
Recently, [1] introduced a new concept called “triangle” which is parallel to the triangular high line, the internal bisector bisector and the middle line. Combining with this new concept, in [1,2] , The inner angle bisector and the midline related inequality, established the inequalities related to the length of the outer triangle of the triangle as follows: Theorem 1 [2] In acute angle △ ABC, let the length of three outer lines be ea, eb, ec, circumcircle radius For R, if λ ≥ 1 then