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平面Ⅱ上的点之间的一个一一变换,若满足以下条件:1.任何共线点的象仍是共线点;2.任何共线三点的简单比不变.则此一一变换叫做平面Ⅱ上的仿射变换.更为简单的定义为:平面Ⅱ上的点之间的一个一一变换,叫做平面Ⅱ上的仿射变换.由仿射变换的定义可知,仿射变换是可逆的,且它的逆变换也是仿射变换.垂直伸压变换是特殊的仿射变换,因此它具备仿射变换的不变性和可变性的两个性质.利用这两条性质不但可以解某些椭圆问题,也可以拟制相关椭圆试题.
If the following conditions are satisfied: 1. Any collinear point is still a collinear point; 2. Any simple ratio of three collinear points is not changed. Is called the affine transformation on plane II.A simpler definition is that the transformations between points on plane II are called affine transformations on plane II.It is known from the definition of affine transformation that affine transformations are Reversible, and its inverse transformation is also affine transformation.Vertical stretching transformation is a special affine transformation, so it has two properties of invariance and variability of affine transformation.Using these two properties not only can solve some Some elliptical problems, but also can be prepared related to the elliptical test questions.