建立一个含指数参数的三角形不等式。
很容易构造一个不服从三角形不等式的例子。
It is easy to construct an example which disproves the property of triangle inequality.
建立两个含角参数的三角形不等式，加强了三角形基本不等式。
This paper established two triangle inequalities containing angular parameter and the fundamental inequality of triangle was strengthened.
给出了大加权三角形不等式的一个简单推论，由之简捷地推导出一些新的涉及三角形内部任一点的三元二次型不等式。
This paper presents a simple deduction of an inequality for heavy weighted triangles, and with it some new quadratic inequalities of three variants at any point within a triangle.
本文首先使用初等方法导出三角形与四边形的等周不等式，进而用富里埃级数方法解决了一般等周问题。
We deduced equal perimeter inequality of triangle and quadrangle by elementary mathematical methods first and solved general equal perimeter problems by using methods of Fourier series.
给出两个新的三角不等式，并将其应用于讨论角成等比的三角形形状。
In this paper, two new trigonometrical inequalities are given, and applied to discuss triangle shapes.
利用三角形的重心坐标，证明涉及三角形平面上一动点的一些不等式。
Prove some inequalities involving a moving-point on the plane of triangle with it′s distance coordinates.
运用不同的方法，证明了一组三角形轮换对称不等式。
The paper established a group of inequalities of rotating symmetry in a triangle with different methods.
利用三角形重心坐标证明涉及三角形内部一动点的若干几何不等式猜想。
We apply the method of bargcentric coordinates to give the proof of some geometric inequality conjectures about a motion point that is the triangle in sids.
利用三角形重心坐标证明涉及三角形内部一动点的若干几何不等式猜想。
We apply the method of bargcentric coordinates to give the proof of some geometric inequality conjectures about a motion point that is the triangle in sids.
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