| 五边形的一个面积划分问题 |
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| 引用本文： | 李庆芹,杨晓惠,许彦.五边形的一个面积划分问题[J].昆明师范高等专科学校学报,2000,22(4):102-104. |
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| 作者姓名： | 李庆芹 杨晓惠 许彦 |
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| 作者单位： | [1]临沧地区技工学校，云南临沧677000 [2]临沧地区中学，云南临沧677000 |
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| 摘 要： | 五条对角线把凸五边形分为一个小五边形及含原五边形一个顶点和含原五边形两个顶点的两类三角形。若小五边形的面积已知，则当已知上述两类三角形中一类之面积时，可确定另一类三角形面积，于是，原凸五边形面积也随之确定。
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| 关 键 词： | 五边形 对角线 面积 三角形 辅助线 数学教学 |
| 文章编号： | 1008-7958(2000)04-0102-03 |
| 修稿时间： | 2000年5月15日 |
An Area Theorem of a Pentagon |
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| Li Qingqin,Yang Xiaohui,Xu Yan.An Area Theorem of a Pentagon[J].Journal of Kunming Teachers College,2000,22(4):102-104. |
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| Authors: | Li Qingqin Yang Xiaohui Xu Yan |
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| Abstract: | It is known that a vertex pentagon is divided into a smaller pentagon and two groups of triangles by its five diagonals,the member in the first group sharing one vertex with the original pentagon and the member in the second group sharing two vertexes with the original pentagon.In this paper,we have proved that given the area of the smaller pentagon,the areas of any group of triangles are fully determined by the areas of the triangles of the other group. |
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| Keywords: | convex pentagon diagonal partition area calculation |
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