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...
2016 USAMO Problems真题及答案
2016 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 a sequence of mutually distinct nonempty subsets of a set . Any two sets and are disjoint and their un...
2015 USAJMO Problems真题及答案
2015 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 sequence of real numbers, a move consists of choosing two terms and replacing each with their arithmeti...
