Difference between revisions of "2010 IMO Problems/Problem 2"
(Created page with '== Problem == Given a triangle <math>ABC</math>, with <math>I</math> as its incenter and <math>\Gamma</math> as its circumcircle, <math>AI</math> intersects <math>\Gamma</math> …') |
(formatted, added solution tag) |
||
| Line 4: | Line 4: | ||
''Authors: Tai Wai Ming and Wang Chongli, Hong Kong'' | ''Authors: Tai Wai Ming and Wang Chongli, Hong Kong'' | ||
| + | |||
| + | == Solution == | ||
| + | {{solution}} | ||
| + | == See Also == | ||
| + | {{IMO box|year=2010|num-b=1|num-a=3}} | ||
| + | |||
| + | [[Category:Olympiad Geometry Problems]] | ||
Revision as of 17:49, 3 April 2012
Problem
Given a triangle 
, with 
as its incenter and 
as its circumcircle, 
intersects again at 
. Let 
be a point on arc 
, and 
a point on the segment 
, such that 
. If 
is the midpoint of 
, prove that the intersection of lines 
and 
lies on .
Authors: Tai Wai Ming and Wang Chongli, Hong Kong
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 2010 IMO (Problems) • Resources | ||
| Preceded by Problem 1 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 3 |
| All IMO Problems and Solutions | ||
