二次曲线局部与整体的关系 |
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引用本文: | 周建伟.二次曲线局部与整体的关系[J].大学数学,2013(5):113-117. |
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作者姓名: | 周建伟 |
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作者单位: | 苏州大学数学科学学院,江苏苏州215006 |
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摘 要: | 用射影几何知识讨论欧氏平面上二次曲线局部与整体的关系,讨论如何通过二次曲线的一些已知点与切线判断它的类型,作出它的对称轴,渐近线,焦点与准线.
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关 键 词: | 二次曲线 对称轴 渐近线 焦点与准线 |
The Relation between Local and Global Properties of Conic |
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Institution: | ZHOU J ian-wei (School of Mathematic Science, Suzhou University, Suzhou 215006, China) |
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Abstract: | We study the relation between the local and global properties of conic. Show that we can determine the type of a quadric curve from some given points and tangent lines, and we can draw its principal axis, rectilinear asymptote, focus and directrix. |
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Keywords: | conic principal axis rectilinear asymptote focus directrix |
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