| 关于"伴生圆锥曲线"的切线方程 |
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| 引用本文： | 郑芸.关于"伴生圆锥曲线"的切线方程[J].山西师范大学学报,2005,19(2):108-110. |
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| 作者姓名： | 郑芸 |
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| 作者单位： | 郑芸（浙江海洋学院信息学院,浙江,舟山,316000） |
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| 摘 要： | 直线被圆锥曲线截得弦的中点问题,是解析几何的重点和难点.常规解法,演算冗繁,计算量大,本文从理论上揭示圆锥曲线弦的中点本质特性出发,对"伴生圆锥曲线"的切线方程和"伴生圆锥曲线"与弦长关系进行探究从而为解这一类题提供统一、清晰、简捷的解法.
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| 关 键 词： | 圆锥曲线 伴生圆锥曲线 直线参数方程 切线方程 圆锥曲线弦长 |
| 文章编号： | 1009-4490(2005)02-0108-03 |
| 修稿时间： | 2004年9月21日 |
On the Tangent Equations of the "Companion Taper Curve" |
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| ZHENG Yun.On the Tangent Equations of the "Companion Taper Curve"[J].Journal of Shanxi Teachers University,2005,19(2):108-110. |
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| Authors: | ZHENG Yun |
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| Abstract: | The problems about the midpoints of the chords cut by the taper curve are the most critical and difficult in analytic geometry problems. Common solutions are full of complex mathematical calculations. This essay offers general, clear, simple and direct solutions to them by theoretically indicating the essential characteristics of the midpoints of the chords, and by studying the tangent equations of "companion taper curve" and the relationship between "the companion taper curve" and the length of chords. |
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| Keywords: | Taper curve Companion taper curve The parametric equation of the straight line Tangent equation Chord length of the taper curve |
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