1991 APMO Problems/Problem 2: Difference between revisions
Created page with "There are 997 points in the plane. Show that they have at least 1991 distinct midpoints. Is it possible to have exactly 1991 midpoints?" |
Formatting |
||
| Line 1: | Line 1: | ||
There are 997 points in the plane. Show that they have at least 1991 distinct midpoints. Is it possible to have exactly 1991 midpoints? | == Problem == | ||
There are <math>997</math> points in the plane. Show that they have at least <math>1991</math> distinct midpoints. Is it possible to have exactly <math>1991</math> midpoints? | |||
== See Also == | |||
* [[APMO]] | |||
* [[APMO Problems and Solutions]] | |||
* [[1991 APMO Problems]] | |||
{{stub}} | |||
Revision as of 13:46, 19 March 2025
Problem
There are 
points in the plane. Show that they have at least 
distinct midpoints. Is it possible to have exactly midpoints?
See Also
This article is a stub. Help us out by expanding it.
