2012 USAMO Problems真題及答案
2012 USAMO Problems真題及答案 完整版真題免費下載 +答案解析請參考文末 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真題及答案
2013 USAMO Problems真題及答案 完整版真題免費下載 +答案解析請參考文末 Day 1 Problem 1 In triangle?, points??lie on sides??respectively. Let?,?,??denote the circumcircles of triangles?,?,?, respectiv...
2012 USAJMO Problems真題及答案
2012 USAJMO Problems真題及答案 完整版真題免費下載 +答案解析請參考文末 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真題及答案
2014 USAMO Problems真題及答案 完整版真題免費下載 +答案解析請參考文末 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真題及答案
2013 USAJMO Problems真題及答案 完整版真題免費下載 +答案解析請參考文末 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真題及答案
2015 USAMO Problems真題及答案 完整版真題免費下載 +答案解析請參考文末 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真題及答案
2014 USAJMO Problems真題及答案 完整版真題免費下載 +答案解析請參考文末 Day 1 Problem 1 Let?,?,??be real numbers greater than or equal to?. Prove that Problem 2 Let??be a non-equilateral, acute trian...
2016 USAMO Problems真題及答案
2016 USAMO Problems真題及答案 完整版真題免費下載 +答案解析請參考文末 Day 1 Problem 1 Let??be a sequence of mutually distinct nonempty subsets of a set?. Any two sets??and??are disjoint and their un...
2015 USAJMO Problems真題及答案
2015 USAJMO Problems真題及答案 完整版真題免費下載 +答案解析請參考文末 Day 1 Problem 1 Given a sequence of real numbers, a move consists of choosing two terms and replacing each with their arithmeti...
