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利用投影变换法求解几何元素之间的度量问题和定位问题是比较简便的一种方法,在度量问题中有求几何图形的实形,求直线与直线、平面与平面、直线与平面之间的倾角,求点与直线、直线与直线、平面与平面、直线与平面之间的距离,在定位问题中有求直线与平面的交点、平面与平面的交线等。以上求实形,倾角、距离,交点、交线,启用投影变换法比利用点、线、面综合解题法简便得多。换面法是投影变换中最常用的一种方法,也是画法几何课程重点内容之一,下面谈谈换面法的一般解题方法。
The use of projection transformation method to solve the problem of geometric elements between the measurement and positioning problems is a relatively simple method, there are geometric problems in the measurement of the shape, seeking straight and straight, plane and plane, between the line and the plane Obliquity, seeking points and straight lines, straight lines and straight lines, plane and plane, straight line and the distance between the plane, in the positioning problem there is a straight line and the intersection of the plane, the intersection of plane and plane and so on. The above real, inclination, distance, intersection, intersection, enable projection transformation method than the use of point, line, surface comprehensive solution is much simpler. Face change method is the most commonly used method of projection transformation, but also one of the key elements of the painting geometry course, let’s talk about the general solution to the problem of face change method.