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引言与空間概念有关的許多性貭之一是空間中的每两点都可以定义距离。距离这一概念也同样具有許多性质,下面就是其中最簡单的性貭: 1) 两不同点间的距离是一正数;两重合点间的距离为零; 2) 从点a到点b的距离等于从点b到点a的距离; 3) 若a,b,c是空間中的任意三点,則从a到c的距离不超过从a到b的距离及从b到c的距离的和。在初等几何学中,空間中两点間距离的概念定义为連接这两点間綫段的长度,如此定义的距离概念滿足这里的所有条件。这时,由于有三角形中任一边小于其他两边之
Introduction One of the many attributes associated with the concept of space is that distance can be defined at every two points in space. The concept of distance also has many properties. The following is the simplest of these: 1) The distance between two different points is a positive number; the distance between two coincident points is zero; 2) From point a to point b The distance is equal to the distance from point b to point a; 3) If a, b, c are any three points in space, the distance from a to c does not exceed the distance from a to b and the distance from b to c. The sum of. In elementary geometry, the concept of the distance between two points in space is defined as the length of the line connecting the two points. The concept of such a defined distance satisfies all the conditions here. At this time, since there are any sides of the triangle that are smaller than the other two sides