| 中心二次曲线的一个轨迹特征 |
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| 引用本文： | 张会凌. 中心二次曲线的一个轨迹特征[J]. 甘肃联合大学学报(自然科学版), 2011, 25(4): 22-24 |
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| 作者姓名： | 张会凌 |
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| 作者单位： | 甘肃联合大学电子信息工程学院,甘肃兰州,730000 |
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| 摘 要： | 证明了平面曲线c是中心二次曲线的充要条件为:c是到两定点连线的斜率之积为一非零常数的点的轨迹,并就此常数的变化与轨迹类型和图形形状的关系进行了讨论.
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| 关 键 词： | 中心二次曲线 新轨迹特征 动点与两定点 连线斜率之积 非零常数 |
A Locus Characteristic of Central Quadratic Curves |
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| ZHANG Hui-ling. A Locus Characteristic of Central Quadratic Curves[J]. Journal of Gansu Lianhe University :Natural Sciences, 2011, 25(4): 22-24 |
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| Authors: | ZHANG Hui-ling |
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| Affiliation: | ZHANG Hui-ling(School of Electronics and Information Engineering,Gansu Lianhe University,Lanzhou 730000,China) |
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| Abstract: | A plain curve is a central quadric curve,and only,the curve is a locus of moving point P with nonzero constant product of gradients of two straight lines connecting P and two fixed points.This is the main result of this paper.In addition,the relation between the transforming of the constant,the types and shapes of the locus is also discussed. |
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| Keywords: | central quadric curve a new locus character moving point and two fixed points product of two gradients of connected straight lines nonzero constant |
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