| 一个划分四面体体积的问题 |
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| 引用本文： | 杨学枝. 一个划分四面体体积的问题[J]. 成都大学学报(自然科学版), 1991, 10(1): 45-48 |
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| 作者姓名： | 杨学枝 |
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| 摘 要： | 文(1)应用“重心坐标”这一工具,讨论了“一个三角形面积的划分问题”,本文先用初等方法给出这一问题的另一解答,然后将它推广到三维空间,得到了四面体体积划分的一个结果。
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| 关 键 词： | 四面体 体积 划分 |
A Problem of Dividing The Volume of Atetrahedron |
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| Yang Xuezi. A Problem of Dividing The Volume of Atetrahedron[J]. Journal of Chengdu University (Natural Science), 1991, 10(1): 45-48 |
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| Authors: | Yang Xuezi |
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| Abstract: | In this article we investigate by means of elementary methods the problemof determining a line(plane) through a fixed point within a triangle(tetrahe-dron) to divide the triangle(tetrahedron) into two parts so that one of theparts obtained take minimum area(volme) .We give the method of divisionand minium area(volume) requisite. The results can be gen eralized to spacesof timension. |
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| Keywords: | area of triangle volume of tetrahedron |
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