用类比法探究圆锥曲线切线的性质 |
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引用本文: | 李伟强.用类比法探究圆锥曲线切线的性质[J].科教文汇,2014(6):142-142,144. |
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作者姓名: | 李伟强 |
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作者单位: | [1]浙江师范大学,浙江金华321004 [2]宜兴中等专业学校,江苏宜兴214206 |
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摘 要: | 1)双当线约任意一条切线与切点处的两一条焦半径所成的角相等。2)在圆锥曲线中,从一个焦点出发的一束光线经圆性曲线反刘后总经过另一个焦点(或双曲线中是反射光线的反向延长线经过另一个焦点)。
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关 键 词: | 类比启发 圆维曲线 切线 |
An Inquiry into the Properties of Conic Curve Tangent by Analogy |
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Authors: | Li Weiqiang |
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Institution: | Li Weiqiang |
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Abstract: | 1) The angles formed by any tangent of a conic curve and the two focal radii at the point of tangency are equal. 2) In a conic curve, a beam of light starting from a focus, after being re- flected by the conic, always goes through the other focus (or in a conic curve, the reverse extension line of the reflection light goes through the other focus). |
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Keywords: | analogy inspiration conic curve tangent |
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