| 透视对应诱导初等几何解题的原理和方法 |
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| 引用本文： | 白运明. 透视对应诱导初等几何解题的原理和方法[J]. 重庆工商大学学报(自然科学版), 2004, 21(6): 636-638 |
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| 作者姓名： | 白运明 |
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| 作者单位： | 重庆工商大学,理学院,重庆,400067 |
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| 摘 要： | 根据射影几何的透视对应理论和交比性质，以点列与线束形成的平面几何图形为基础，寻求出它们成透视对应的点列与线束中交比相等的4点和4直线，再借助有关对应的点和直线构成的三角形，将交比相等转换成三角形面积相等，从而诱导出用初等几何的逻辑和方法解决几何中难解的问题．
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| 关 键 词： | 透视对应 初等几何 交比 相等 射影几何 解题 三角形面积 直线 平面几何图形 方法 |
| 文章编号： | 1672-058X(2004)06-0636-03 |
Solution principle and method of perspectivity induced elementary geometry |
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| BAI Yun-min. Solution principle and method of perspectivity induced elementary geometry[J]. Journal of Chongqing Technology and Business University:Natural Science Edition, 2004, 21(6): 636-638 |
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| Authors: | BAI Yun-min |
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| Abstract: | According to perspectivity theory and crossratio property of projective geometry and on the basis of plane geometry figure formed by point range and line pencil,four points and four straight lines of crossratio equeal in point rage and line pencil of perspectivity were solved.Crossratio equa was transformed into triangle area equa and difficult problems in geometry was settled by using logic and method of elementary geometry. |
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| Keywords: | projective correspondence perspectivity crossratio triangle area |
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