Tài liệu ,Đề thi toán vô địch thế giới,2002 pdf
Tài liệu Đề thi toán khu vực 1999-2009 pdf
... moves on Γ 1 . {[Moderator edit: This problem was also discussed on http://www.mathlinks.ro/Forum/viewtopic.php?t=21414 .] http://www.artofproblemsolving.com/ This file was downloaded from the ... 2005. Compare with [url=http://www.mathlinks.ro/Forum/topic-15091.html]this problem.[/url] http://www.artofproblemsolving.com/ This file was downloaded from the AoPS − MathLinks Math Olympiad Resource...
Ngày tải lên: 24/12/2013, 09:17
Tài liệu Đề thi toán bằng tiếng anh 2012 pdf
... Now that 16x + 1 = (x 2 − y 2 ) 2 = (x −y) 2 (x + y) 2 ≥ x 2 . From this we obtain the inequality, x 2 − 16x − 1 < 0. Solving this inequality gives x ∈ {0, 1, ··· ,16}. In addition, 16x + 1 is ... y) = |x − y| + |x 3 − y 3 | when x, y vary satisfying the restriction x 2 + y 2 = 1. Rewriting this as f(x, y) = |x − y|(1 + x 2 + xy + y 2 ) = |x − y|(2 + xy). from which we square to arrive ......
Ngày tải lên: 18/02/2014, 11:20
