Difference between revisions of "1991 APMO Problems/Problem 2"
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| − | 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 == |
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| + | 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? | ||
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| + | == See Also == | ||
| + | |||
| + | * [[APMO]] | ||
| + | * [[APMO Problems and Solutions]] | ||
| + | * [[1991 APMO Problems]] | ||
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| + | {{stub}} | ||
Latest 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.
