2010 USAJMO Problems真题及答案
2010 USAJMO Problems真题及答案 完整版真题免费下载 +答案解析请参考文末 Day 1 Problem 1 A permutation of the set of positive integers??is a sequence??such that each element of??appears precisely one ...
2011 USAJMO Problems真题及答案
2011 USAJMO Problems真题及答案 完整版真题免费下载 +答案解析请参考文末 Day 1 Problem 1 Find, with proof, all positive integers??for which??is a perfect square. Problem 2 Let?,?,??be positive real nu...
2012 USAMO Problems真题及答案
2012 USAMO Problems真题及答案 完整版真题免费下载 +答案解析请参考文末 Day 1 Problem 1 Find all integers??such that among any??positive real numbers?,?,?,??withthere exist three that are the side len...
2013 USAMO Problems真题及答案
2013 USAMO Problems真题及答案 完整版真题免费下载 +答案解析请参考文末 Day 1 Problem 1 In triangle?, points??lie on sides??respectively. Let?,?,??denote the circumcircles of triangles?,?,?, respectiv...
2012 USAJMO Problems真题及答案
2012 USAJMO Problems真题及答案 完整版真题免费下载 +答案解析请参考文末 Day 1 Problem 1 Given a triangle?, let??and??be points on segments??and?, respectively, such that?. Let??and??be distinct point...
2014 USAMO Problems真题及答案
2014 USAMO Problems真题及答案 完整版真题免费下载 +答案解析请参考文末 Day 1 Problem 1 Let??be real numbers such that??and all zeros??and??of the polynomial??are real. Find the smallest value the pro...
2013 USAJMO Problems真题及答案
2013 USAJMO Problems真题及答案 完整版真题免费下载 +答案解析请参考文末 Day 1 Problem 1 Are there integers??and??such that??and??are both perfect cubes of integers? Problem 2 Each cell of an??board i...
2015 USAMO Problems真题及答案
2015 USAMO Problems真题及答案 完整版真题免费下载 +答案解析请参考文末 Day 1 Problem 1 Solve in integers the equation? Problem 2 Quadrilateral??is inscribed in circle??with??and?. Let??be a variable ...
2014 USAJMO Problems真题及答案
2014 USAJMO Problems真题及答案 完整版真题免费下载 +答案解析请参考文末 Day 1 Problem 1 Let?,?,??be real numbers greater than or equal to?. Prove that Problem 2 Let??be a non-equilateral, acute trian...
