1) angle-bisector
内角平分线
1.
we have ∑PAw2b+w2c≥2(where wa,wb,wc are the corresponding angle-bisectors of △ABC),and several corollaries are given.
根据一个已知的几何不等式,应用差分代换方法并借助于Maple软件进行计算,证明了下述几何不等式:对△ABC与任意一点P有∑PAw2b+w2c≥2(其中wa,wb,wc为△ABC的内角平分线),给出了它的几个推论,提出并应用计算机验证了两个猜想。
2.
In this paper,the important method of R-r-s is used to establish two inequalities for the medians and angle-bisectors of acute triangles,and two inequalities conjectured are proposed and verified with the computer.
应用三角形不等式中重要的R-r-s方法,证明了锐角三角形的中线与内角平分线的两个不等式,提出了两个未解决的猜想不等式。
2) inner angular bisector
内角平分线
1.
An important basic inequality for triangles is employed to prove a conjectured inequality for the sum of triangle s inner angular bisector:Let wa,wb,wc,s,r,R be the three inner angular bisectors semi-cirumference inradius and circumradius respectively,then(w++wb+wc)2≤s2+102Rr/5+66r2/5.
应用三角形一个重要的基本不等式,证明了有关三角形内角平分线之和的一个猜想不等式:设wa,wb,wc与s分别是三角形三条内角平分线和半周长,R,r分别为三角形的外接圆半径,则(wa+wb+wc)2s2+102Rr/5+66r2/5。
2.
The important method of R-r-s is employed to derive two beautiful inequalities for triangle s inner angular bisector and median.
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。
3) angular bisector
角平分线
1.
Study on two inequalities concerning angular bisectors of triangle;
关于两个角平分线不等式的探讨
2.
Achieve unity in making two supposed inequalities concerning angular bisector and central line of triangle careful.
对涉及三角形内角平分线和中线的两个猜想不等式统一进行加
3.
The paper introduces an inverse form of an angular bisector inequality and several similar inequalities.
建立一个角平分线不等式的逆向形式以及几个类似不等
4) angle bisector
角平分线
1.
the analysis and summarization, the projection character of angle bisector is proved on theory.
通过对角平分线投影特性的分析、总结，从理论上证明了角平分线投影特性。
5) angular bisector
平分角线
6) angle bisector
角平分线;分角线
补充资料：内角角平分线定理
在三角形abc中，当ad是顶角a的角平分线交底边于d时，bd/cd=ab/ac
角平分线上的点到角的两边的距离相等.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条