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| 关于过三角形中任意一点作线段平分三角形面积问题 | |
| 引用本文： | 王小勇,李一兵. 关于过三角形中任意一点作线段平分三角形面积问题[J]. 长沙理工大学学报(社会科学版), 1988, 0(3) |
| 作者姓名： | 王小勇 李一兵 |
| 作者单位： | 长沙水电师院数学系 1984级学生(王小勇)，长沙水电师院数学系 1984级学生(李一兵) |
| 摘 要： | 本文分析了过三角形中任意一点作线段平分三角形面积问题。发现在三角形中存在一个曲边三角形,过此曲边三角形内部每一点,可作三条线段平分三角形的面积;过曲边三角形边界上每点有两条;过曲边三角形之外每点有一条。文中给出了所求线段的公式,根据公式即可以用直尺,圆规作出所求的线段。 |
| 关 键 词： | 线段 三角形 面积 曲边三角形 |
THE PROBLEM ABOUT MAKING SEGMENTS CROSSING ANY POINT OF A TRIANGLE TO BISECT THE TRIANGLE |
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| Wang Xhiaoyong,Li Yibing Mathematics Department. THE PROBLEM ABOUT MAKING SEGMENTS CROSSING ANY POINT OF A TRIANGLE TO BISECT THE TRIANGLE[J]. Journal of Changsha University of Science & Technology, 1988, 0(3) | |
| Authors: | Wang Xhiaoyong Li Yibing Mathematics Department |
| Affiliation: | Wang Xhiaoyong;Li Yibing Mathematics Department |
| Abstract: | This article analyzes the problem about making segments crossing any pointof a triangle to bisect the area of the triangle. It is discovered that in the triangle there is a curve side triangle, acrossany interior point of which three segments can be made to bisect the area ofthe triangle, across any boundary point of which two segments can be made tocut the triangle into two equal parts and across any point outside which onlyone segment can be made. In this paper a formula is given, according to which, with a ruler and apair of compasses the required segments can be made. |
| Keywords: | segment triangle area curve side triangle |
| 本文献已被 CNKI 等数据库收录！ | |