A Gold in CWMO!!!
Yeah! Unbelievable! I get a Gold in CWMO with 87/120 (Now I am in China, so I can type English only...)
Prize List of Hong Kong:
WCW: 120/120 Gold (Champion!!)
COY: 105/120 Gold (1st runner up!!)
YCH2: 87/120 Gold (15+15+6+15+15+0+6+15)
YCH1, FPW, LCH, LCT: Silver
CPN: Bronze
Cutting are 78/57/(30+X), -1<X<10
Also, Hong Kong team one(with WCW, COY, FPW,YCH1) win the overall champion in this event.
The best group result(HK team one), highest individual score(WCW), youngest Gold medalist(YCH2) ever in Hong Kong. XD
(Also the first Gold in MO competition from DBS?)
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http://www.mathlinks.ro/Forum/viewtopic.php?t=118048
Q.1 Inequality (Just some A.M.-G.M. or Power Mean)
Q.2 Quad. equation...(Discriminant and root formula)
Q.3 Geometry (Trigonometry)
Q.4
Algebra, which have to prove all terms in a sequence with Gauss
function are all irrational. (Most of us use binomial theorem but WCW
use some polynomial method)
Q.5 Number theory (Trivial)
Q.6 Geometry (Very hard one)
Q.7
Algebra, which have to prove there are exist some positive integer
n>k which cos(nx) and cos(n-1)x are rational, given that cos(kx) and
cos(k-1)x are rational. (Something look likes Chebysev polynomial, but
I don't have enough time to finish it)
Q.8 Set theory (Many China contestants claim this is the hardest one but I think using induction is not that hard) |