原文地址:自由颂希腊不等式欣赏作者:sqing551. 已知 , 求证: greece tst 1998 q1 2. 已知 是非负数.求证 greece national olympiad 1998 3. find the maxim m val e of s ch that holds for all positive n mbers and greek national m.o. 2000, final ro nd, problem 3 4. 求证 greece national olympiad 2002 5. 已知 是满足 和 的实数, 求证 greece national olympiad 2002 , seniors , problem 1. 6. 已知 . 求证 : greece 2002 7.已知 是满足 的正数, 求证 greek national m.o. 2003, final ro nd,problem 1 8. find the greatest val e of s ch that the following ineq ality is tr e . greek national m.o. 2004, final ro nd,problem 1 9. if show that there does not exist positive integers s ch that greek national m.o. 2004, final ro nd,problem 2 10. the seq ence is defined by and for (a) prove that for all (b) given , find the smallest nat ral n mber s ch that for all 22nd hellenic senior mo , 2005 , prb2. 11.已知 是三角形的三边, 求证 greek mo 2007 12.if are positive integers and , , prove the ineq ality when does eq ality hold? greek national mathematical olympiad 2008 - p4 13.已知 是满足 的非负数. 求证 . when does the eq ality occ r? greek mathematical olympiad 2009 14. if are positive real n mbers with s m , prove that : when does eq ality hold ? greek olympiad - 2010, senior , today, problem - 2 15. let be positive real n mbers with s m . find the maxim m val e of greek mathematical olympiad 2011 - p3 16. 已知 是满足 的正数 . 求证 greece . determine the maxim m val e of m s ch that holds for all are positive real n mbers s ch that greece tst 2013 ineq ality i warn yo : it is harder than it looks at first sight (this is the very next problem in the packet, it is from greece i believe) greece a,b, c positive reals with a+b integer, c integer. if and a+b+c=13 and ac+bc=12 prove the ineq ality. strange ineq ality . show that no calc l s pls thx for yo r nice sol tion credit : problem from greece s observer a at 50th imo 我从你的剑的 令人敬畏的边缘识别你... 在地球寻找我们的憧憬, 将随著无畏的精神统领... 问题240:证明2012年希腊数学奥林匹克不等式 参考文献;sqing55.自由颂-希腊不等式欣赏.