| 用Lagrange乘数研究二次曲线的几何性质 |
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| 引用本文： | 方文波. 用Lagrange乘数研究二次曲线的几何性质[J]. 大学数学, 2005, 21(2): 120-123 |
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| 作者姓名： | 方文波 |
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| 作者单位： | 武汉科技学院,数理系,武汉,430074 |
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| 摘 要： | 文中把二次曲线的几何性质的研究转化成条件极值问题,但又不关心问题的解,而是利用Lagrange乘数来研究二次曲线的几何性质,找到了用Lagrange 乘数判别二次曲线形状的方法,给出了用Lagrange乘数计算二次曲线的对称轴和轴长的公式.
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| 关 键 词： | Lagrange乘数 二次曲线 几何性质 |
| 文章编号： | 1672-1454(2005)02-0120-04 |
| 修稿时间： | 2004-02-17 |
Study on Geometric Properties of Curves of Second Order with Lagrange Multiplicator |
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| FANG Wen-bo. Study on Geometric Properties of Curves of Second Order with Lagrange Multiplicator[J]. College Mathematics, 2005, 21(2): 120-123 |
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| Authors: | FANG Wen-bo |
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| Abstract: | The study on the geometric properties of curves of second order is transformed into the problem of finding the conditional extremum for the purpose of plotting the shape of the curves, instead of calculating the solutions. Methods to differentiate the shapes of curves of second order are proposed, equations to calculate the symmetric axes and the lengths of the axes are also presented. |
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| Keywords: | Lagrange multiplicator curves of second order geometric property |
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