| 圆内接与外切三角形中的某些极值问题 |
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| 引用本文： | 朱鸣轩.圆内接与外切三角形中的某些极值问题[J].邵阳学院学报(自然科学版),2004,1(2):135-136. |
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| 作者姓名： | 朱鸣轩 |
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| 作者单位： | 双峰县甘棠中学,湖南,双峰,417003 |
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| 摘 要： | 求内接于定圆的最大面积的三角形，或求外切于定圆的最小面积的三角形这类极值问题，是初等几何中常常遇到，但用纯初等几何方法又无法解决的问题，在本文中，运用局部对称与迭代等方法，使这类问题迎刃而解．
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| 关 键 词： | 三角形 极值 局部对称 迭代法 递增数列 递减数列 极限 |
| 文章编号： | 1672-7010(2004)02-0135-02 |
| 修稿时间： | 2003年10月26 |
Some Extreme Value Problems for Inscribed and Circumscribed Triangles in a Circle |
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| ZHU Ming-xuan.Some Extreme Value Problems for Inscribed and Circumscribed Triangles in a Circle[J].Journal of Shaoyang University:Science and Technology,2004,1(2):135-136. |
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| Authors: | ZHU Ming-xuan |
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| Abstract: | Some problems of extreme value of area of triangle which is inscribed or circumscribed a identical circle, are often seen in elementary geometry but can not be solved by the method of single elementary geometry. In this paper, by using locally symmetric or successive method and etc. these problems are readily solved. |
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| Keywords: | Triangle extreme value locall symmetry successive method increasing sequence of numbers decreasing sequenee of numbers limit |
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