美國的數學競賽難不難看看這道題就知道了
今天的題目是排列組合問題,來自美國的一次數學競賽,解題所用知識不超過小學5年級. 題目(5星難度):有一個九邊形的各邊長...
2008-1972USAMO美國數學奧賽歷年真題打包下載
翰林國際教育整理了1972-2008 USAMO全部真題 供學生免費下載使用
2009 USAMO Problems真題及答案
2009 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 真題下載請前往【純真題】小程序 Day 1 Problem 1 Given circles??and??intersecting at points??and?, let??be a line through the cent...
2010 USAMO Problems真題及答案
2010 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 convex pentagon inscribed in a semicircle of diameter?. Denote by?,?,?,??the feet of the perpendicular...
2011 USAMO Problems真題及答案
2011 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 positive real numbers such that?. Prove that Problem 2 An integer is assigned to each vertex ...
2010 USAJMO Problems真題及答案
2010 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 A permutation of the set of positive integers??is a sequence??such that each element of??appears precisely one ...
2011 USAJMO Problems真題及答案
2011 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 Find, with proof, all positive integers??for which??is a perfect square. Problem 2 Let?,?,??be positive real nu...
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...
