| 椭圆域与矩形域的平均弦长 |
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| 引用本文： | 赵静.椭圆域与矩形域的平均弦长[J].武汉科技大学学报(自然科学版),2007,30(4):441-443. |
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| 作者姓名： | 赵静 |
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| 作者单位： | 安徽科技学院,安徽,凤阳,233100 |
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| 摘 要： | 主要利用广义支持函数和凸域内弦的平均长度的一个普遍公式，得到椭圆域内弦的平均长度，并对矩形域内弦的平均长度的极值作了研究，得出当为正方形域时，弦的平均长度最大。
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| 关 键 词： | 凸域 平均弦长 广义支持函数 椭圆域 矩形域 |
| 文章编号： | 1672-3090（2007）04-0441-03 |
| 修稿时间： | 2006-11-02 |
The mean length of the chords of the ellipse and the rectangle |
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| Zhao Jing.The mean length of the chords of the ellipse and the rectangle[J].Journal of Wuhan University of Science and Technology(Natural Science Edition),2007,30(4):441-443. |
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| Authors: | Zhao Jing |
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| Institution: | Anhui Science and Technology University, Fengyang 233100, China |
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| Abstract: | Using a universal formula for the mean length of a convex set and the generalized support function, this paper has arrived at the mean length of the ellipse. Besides, it has studied the maximum value of the mean length inside the rectangle area, and found that the mean length of the square is the maximum. |
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| Keywords: | convex domain the mean length of the chords the generalized support function ellipse rectangle |
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