透视仿射对应在画法几何中的应用与研究

Application and research of perspective affine correspondence in geometry

在画法几何中,求作一般位置平面与立体表面的截交线以及圆、曲面立体截交线的轴测投影等问题时,往往作图比较复杂,且不能保证作图的准确性,而灵活运用透视仿射对应法,则能使此类问题得到简化。本文简要阐述了透视仿射对应的基本理论和性质,并通过实例说明了透视仿射对应在画法几何中的应用。

In geometry,it is complex to draw and without guaranteeing the accuracy of the intersecting lines between general position plane and solid surface and of the axonometric projection to three-dimensional intersection lines between circles and curved,but the flexible application of perspective arlene correspondence can simplify the issue.The paper briefly elaborates the basic theory and the nature of perspective affine correspondence and illustrates its applicafion in geometry.