Given that a, b, and n are three collinear points, and the relationship ab+bn=an holds, we can determine which point lies between the other two.
In geometry, if three points X, Y, and Z are collinear, and XY+YZ=XZ, then point Y must lie between points X and Z. This is a fundamental property of distances on a line segment.
Applying this principle to the given equation ab+bn=an:
- ab represents the distance between point a and point b.
- bn represents the distance between point b and point n.
- an represents the distance between point a and point n.
Since the sum of the distances from a to b and from b to n equals the distance from a to n, point b must be located between points a and n.
Therefore, the point that lies between the other two points is b.
اذا كان لديك إجابة افضل او هناك خطأ في الإجابة علي سؤال إذا كانت a n b ،بثلاث نقاط على استقامة واحدة، وكان ab + bn = an ، فأي نقطة تقع بين النقطتين الاخرين اترك تعليق فورآ.