De Thi HSG Cap Truong Toan 7 Nam 20102011

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TRNG THCS NGC SN THI HSG CP TRNG V CHN DI TUYN HSG HUYNNM HC 2010-2011 MN THI: TON 7 (Thi gian lm bi 90 pht) Bi 1Thc hin php tnha, a..499532:43+|.|

\|b, B = 921213543 + +c,( )( )12 5 6 2 10 3 5 26 39 32 4 52 .3 4 .9 5 .7 25 .49A125.7 5 .142 .3 8 .3 = ++ Bi 2: Tm x bit:a) 2 5: x3 6 = b, 1 1 12 3 6x| | = |\ . c) 3 114 4x = d. 1 6015 1xx = Bi 3:a, Tm cc s a, b, c bit: a b c3 5 7= =v a + b c = 10 b. Tm x, y bit 2 1 3 2 2 3 15 7 6x y x yx+ + = = Bi 4: Trong hnh v cho bit d//d, gc 600, gc 1100, gc ABC = 300a, Tnh cc gc B1 v C1

b, Chng minh CB l phn gic ca gc ACD Bi 5 CMR : Vi mi s nguyn dng n th :2 23 2 3 2n n n n + + + chia ht cho 10 Ht./. Ghi ch : Hc sinh khng s dng my tnh b ti, cn b coi thi khng gii thch g thm M Ad d C B 300 600 1100 D 1 1