原文地址:国际rioplatense数学奥林匹克不等式题欣赏作者:sqing55 international competitions rioplatense mathematical olympiad 1. 已知 求证 irrational ineq ality (5) |2002| 2. 已知 , , 是满足的正数. 求证: xii rioplatense mathematical olympiad (2003), level 3 3. in a convex hexagon , triangles and have the same circ mradi s . if triangle has inradi s , prove that xiii rioplatense mathematical olympiad (2004), level 3 4. let be a point inside triangle and let denote the circ mradi s of triangle . prove that xiv rioplatense mathematical olympiad (2005), level 3 5. 已知 是满足 的正数. 求证 . rioplatense olympiad 2013, level 3, problem 1 "拔士巴"(bathsheba),作者杰洛姆(jean-leon geoe,1824-1904)."拔士巴与大卫",作者不详:大卫正在后面的窗户里,偷窥拔士巴洗澡. 作于1654年,"拔士巴收到大卫的信件"(bathsheba receiving david s letter),作者willem drost(1633-1659).这幅作品现藏于卢浮宫. "所罗门与示巴女王"(solomon and the q een of sheba),作者giovanni demin(1789-1859). it s a regional competition that several latin american co ntries participate in. so perhaps a new category called "rioplatense mathematical olympiad" in international competitions in the right place.