Difference between revisions of "Balkan MO Problems and Solutions, with authors"
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* [[1984 BMO Problems/Problem 3 | Problem 3]] | * [[1984 BMO Problems/Problem 3 | Problem 3]] | ||
* [[1984 BMO Problems/Problem 4 | Problem 4]] | * [[1984 BMO Problems/Problem 4 | Problem 4]] | ||
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== 1985 == | == 1985 == | ||
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* [[1985 BMO Problems/Problem 3 | Problem 3]] | * [[1985 BMO Problems/Problem 3 | Problem 3]] | ||
* [[1985 BMO Problems/Problem 4 | Problem 4]] | * [[1985 BMO Problems/Problem 4 | Problem 4]] | ||
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== 1986 == | == 1986 == | ||
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== 1995 == | == 1995 == | ||
+ | Problem 1: | ||
+ | Triangle ABC has a right angle at C. The internal bisectors of angles BAC and ABC meet | ||
+ | BC and CA at P and Q respectively. The points M and N are the feet of the perpendiculars from P and Q | ||
+ | to AB. Find angle MCN. | ||
== 1996 == | == 1996 == | ||
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* [[1997 BMO Problems/Problem 3 | Problem 3]] | * [[1997 BMO Problems/Problem 3 | Problem 3]] | ||
* [[1997 BMO Problems/Problem 4 | Problem 4]] | * [[1997 BMO Problems/Problem 4 | Problem 4]] | ||
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== 1998 == | == 1998 == | ||
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* [[1998 BMO Problems/Problem 3 | Problem 3]] | * [[1998 BMO Problems/Problem 3 | Problem 3]] | ||
* [[1998 BMO Problems/Problem 4 | Problem 4]] | * [[1998 BMO Problems/Problem 4 | Problem 4]] | ||
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== 1999 == | == 1999 == | ||
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* [[1999 BMO Problems/Problem 3 | Problem 3]] | * [[1999 BMO Problems/Problem 3 | Problem 3]] | ||
* [[1999 BMO Problems/Problem 4 | Problem 4]] | * [[1999 BMO Problems/Problem 4 | Problem 4]] | ||
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== 2000 == | == 2000 == | ||
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* [[2000 BMO Problems/Problem 3 | Problem 3]] | * [[2000 BMO Problems/Problem 3 | Problem 3]] | ||
* [[2000 BMO Problems/Problem 4 | Problem 4]] | * [[2000 BMO Problems/Problem 4 | Problem 4]] | ||
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== 2001 == | == 2001 == | ||
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* [[2001 BMO Problems/Problem 3 | Problem 3]] | * [[2001 BMO Problems/Problem 3 | Problem 3]] | ||
* [[2001 BMO Problems/Problem 4 | Problem 4]] | * [[2001 BMO Problems/Problem 4 | Problem 4]] | ||
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== 2002 == | == 2002 == | ||
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* [[2002 BMO Problems/Problem 3 | Problem 3]] | * [[2002 BMO Problems/Problem 3 | Problem 3]] | ||
* [[2002 BMO Problems/Problem 4 | Problem 4]] | * [[2002 BMO Problems/Problem 4 | Problem 4]] | ||
− | + | ||
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== 2003 == | == 2003 == | ||
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* [[2003 BMO Problems/Problem 3 | Problem 3]] | * [[2003 BMO Problems/Problem 3 | Problem 3]] | ||
* [[2003 BMO Problems/Problem 4 | Problem 4]] | * [[2003 BMO Problems/Problem 4 | Problem 4]] | ||
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== 2004 == | == 2004 == | ||
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* [[2004 BMO Problems/Problem 3 | Problem 3]] | * [[2004 BMO Problems/Problem 3 | Problem 3]] | ||
* [[2004 BMO Problems/Problem 4 | Problem 4]] | * [[2004 BMO Problems/Problem 4 | Problem 4]] | ||
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== 2005 == | == 2005 == | ||
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* [[2005 BMO Problems/Problem 3 | Problem 3]] | * [[2005 BMO Problems/Problem 3 | Problem 3]] | ||
* [[2005 BMO Problems/Problem 4 | Problem 4]] | * [[2005 BMO Problems/Problem 4 | Problem 4]] | ||
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== 2006 == | == 2006 == | ||
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* [[2006 BMO Problems/Problem 3 | Problem 3]] | * [[2006 BMO Problems/Problem 3 | Problem 3]] | ||
* [[2006 BMO Problems/Problem 4 | Problem 4]] | * [[2006 BMO Problems/Problem 4 | Problem 4]] | ||
− | * [[ | + | |
− | * [[ | + | == 2007 == |
+ | |||
+ | * [[2007 BMO]] | ||
+ | * [[2007 BMO Problems]] | ||
+ | * [[2007 BMO Problems/Problem 1 | Problem 1]] | ||
+ | * [[2007 BMO Problems/Problem 2 | Problem 2]] | ||
+ | * [[2007 BMO Problems/Problem 3 | Problem 3]] | ||
+ | * [[2007 BMO Problems/Problem 4 | Problem 4]] | ||
+ | |||
+ | == 2008 == | ||
+ | |||
+ | |||
+ | == 2009 == | ||
+ | |||
+ | |||
+ | == 2010 == | ||
+ | |||
+ | |||
+ | == 2011 == | ||
+ | |||
+ | |||
+ | == 2012 == | ||
+ | |||
+ | * [[2012 BMO]] | ||
+ | * [[2012 BMO Problems]] | ||
+ | * [[2012 BMO Problems/Problem 1 | Problem 1]] | ||
+ | * [[2012 BMO Problems/Problem 2 | Problem 2]] | ||
+ | * [[2012 BMO Problems/Problem 3 | Problem 3]] | ||
+ | * [[2012 BMO Problems/Problem 4 | Problem 4]] | ||
+ | |||
+ | == 2013 == | ||
+ | |||
+ | |||
+ | == 2014 == | ||
+ | |||
+ | |||
+ | == 2015 == | ||
+ | |||
+ | |||
+ | == 2016 == | ||
+ | |||
+ | |||
+ | == 2017 == | ||
+ | |||
+ | * [[2017 BMO]] | ||
+ | * [[2017 BMO Problems]] | ||
+ | * [[2017 BMO Problems/Problem 1 | Problem 1]] | ||
+ | * [[2017 BMO Problems/Problem 2 | Problem 2]] | ||
+ | * [[2017 BMO Problems/Problem 3 | Problem 3]] | ||
+ | * [[2017 BMO Problems/Problem 4 | Problem 4]] | ||
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* [[Academic Olympiads]] | * [[Academic Olympiads]] | ||
* [[Mathematics competition resources]] | * [[Mathematics competition resources]] | ||
+ | |||
+ | |||
+ | [[Category:Math Contest Problems]] |
Latest revision as of 16:41, 1 January 2024
This page lists the authors of the problems of the BMO.
Contents
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
Problem 1: Triangle ABC has a right angle at C. The internal bisectors of angles BAC and ABC meet BC and CA at P and Q respectively. The points M and N are the feet of the perpendiculars from P and Q to AB. Find angle MCN.
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017