đap an MTCT TIEN GIANG 09-10

 CỘNG HÒA XÃ HỘI CHỦ NGHĨA VIỆT NAM SỞ GIÁO DỤC& ĐÀO TẠO Độc lập – Tự do – Hạnh phúc THI VÒNG TỈNH GIẢI TOÁN TRÊN MÁY TÍNH CẦM TAY BẬC TRUNG HỌC NĂM HỌC 2009-2010 Lớp 9 (THCS) Ngày thi: 26/01/2010 Thời gian làm bài 150 phút (không kể thời gian giao đề)    ! " #$%& '() *+" ,-. , /0 /1 Qui định: 02-345678*92 126:;<=! >9866?:*'0@-.6:3-.:9!97A-.= :9!6?:9"2 B2-*CD-EFG3H9-:I-JKLM@@N JKLM@@O# JKLMP@O# JKLMP@Q# RLM@@O# RLMP@O#2 S2OTM*2 Chú ýI9<@B42 Bài 1I O; U ; U 94!-;4VW X K:;F X 0BM8 X CW U F X  YB2O; U 3A X  Z  ;: [  U 94!-;4VW X K:;F X 0@V8 X CW U F X VS2\ Z 8A U ; Z F X CW Z  ] 98 X 8A U ; Z ;! Z 8A U ; Z  A U : ] ;8 X 8A U ; Z F X CW Z  ] 94 ] 3A X 3 X ^ X :8 X ; *; ] "2 #W3CW U 3W X  ]  /! Z ?: ] K_93`3CD38a.;3bK:;Fc CDFc 0BM YB 0 0 V 1P 1P 0 0 0@V VS 10 V 10 x x y x y y x y   + = =   =    ⇔ =    =    = + =     dRa.Ce93I 1Pf10"I1gBh" dRa.;3I 1PfBg1Sh" Bài 2I 0h\ X ; U ! U A X *: Z *! Z BC [ -; Z A U 77A: ] 7CW4\ X  16 x x 8 0+ − = 3A Z 9! Z ?: ] 8W Z BC [ -; Z A U 77A"2 1h\ X -; Z   *! ] JK"g 3 2 ax bx c+ + ! Z Ki1"  X   2 x 1− "\ X FC3 X KiM"2 1 1,128 #W3CW U 3W X  ]  /! Z ?: ] B 1 1  1" @  0" " M V S @ 0 0 @ 0 M S f ax bx c x ax b x a b c a a b b c c − =   + + = − + + +  − + + = =     ⇔ − = ⇔ =     − + = =   g0 g0 gS Bài 3: \ X A Z  ]  Z -; Z  Z 0@C [ -; Z A U : X ^ X C [ -; Z S8 X 3 X 3:9 [ C X A U  M: ] ; U -; Z C U !2  Bài 4: \ Z \ Z K Z ; ] #g020ji121jiB2Bjiki0l20lj Bài 5: ! ] :C Z %g x x 1 x x 1 2(x 2 x 1) : x 1 x x x x   − + − + −  ÷  ÷ − − +   0h\ Z  Z 4 U : ] ! ] :C Z Kg1Y 1@0@3A Z 9! Z ?: ] 1C [ -; Z A U 7 7A"2 1h\ X K:9!*! ] % Z  Z 4 U :9!2 Bài 6: O; U * X Km ] W ] 1l@A Z K^; U ;4\ X KA9*A U 7:9 ] *! U 2 X Km Z MP! Z ; X 3 U  KmW ] BA Z  KmW ] MA Z 8 X KmW ] P M A Z 2! Z :F: X A Z  ] KmP MA Z W ] B:9! Z \ X *CW U -; Z K^^ X ; ] -; Z K^FKmMA Z W ] B:9! Z 8 X KmBA Z W ] 1:9! Z 2 ] -; Z Km;[3 U n #W3CW U 3W X  ]  /! Z ?: ] K_9_o3`3CD3-.KmpBq_Mq_P Mq_ MP MP 1@ B M P M 1l@ B M P M 1l@ 0l P M 2B M 2B B 21 1 M P M 2 @ 0V x y z x y z x x y z x y z y z y x x y z z + + = + + = =       + + = ⇔ + + = ⇔ =       = + + − = =    Ra9-.KmpBq< 1@6_KmpMq< 0l6_KmpP Mq <0V6 2 NhaKrI<S M g 2222222222S M M 0@@@@@@@@S S lllllllllS YB @l S ll ll222x x≤ ≤ ⇔ ≤ ≤ Ra9I { } S YS_PS_VS_lSx ∈ S = 2 432 902 008 296 639 999 1/ P = 1,49 2/ x { } @_S_l∈ Bài 7:  Z *! X :N Z  U ^ X Y@24! U 3A Z 9*! ] - g1@2CW X 4:4C U : ] * U N^ Z  U N8 X NmC Z C U W ] Q8 X s2\ Z :8 Z Qs2 3A Z 9! Z ?: ] 8W Z VC [ -; Z A U 77A"2 Bài 8: 3 X -; Z C U !*CW U 8! Z ^ X 11BC [ -; Z l2 [ 9\ Z ; ]  Z C [ -; Z : ] 8W Z g 2 a 2010+ 2 Bài 9: O; U ! Z Km Z  Z -:W Z 4CW Z 2/W^  Z Km-:  Z  Z \ Z 3W Z W Z \ Z  Z Km4CW Z 3 X 1M2/*4!* U *CW X F X  B0S\ X  Z Km4CW Z ?:9! X :W Z Km-:S@8 X 2\ Z  Z \ Z : ]   Z Km4CW Z 8 X  Z Km-:2tA Z 9 π gB 0S 3A Z 9! Z ?: ] 8W Z BC [ -; Z A U 77A"2 #W3CW U 3W X  ]  /! Z ?: ] 1M 1M B0S 1 1 2S@ 2S@ S@ 0 Bl s t s t s t s t s t s t R R R R R n R n R R R R R R π π − = − =   ⇔   = = =   − ⇒ = = u - g1M YS0 u  g@ YS0 Bài 10: 4^ U 7^ ]  U *; U vK9*CW X ^ ] I NISKfB9fYMg@ IPKf1S9iMMg@ NIBKiS9fMg@ 02 \ X  U *; U *! ] N  2 12 \ Z  Z \ Z *CW X 4 X ; U ! Z 7 Z N2 3 230,13244541 9 x 223 + 2 + 1 = 2010 1/T*)NI S B YM 00 B S M P x y x x y y − = =   ⇔   + = = −   T*)I S B YM 1B P 1S MM l x y x x y y − = =   ⇔   − = − =   T*)I B S M 0 P 1S MM 1 x y x x y y + = = −   ⇔   − = − =   2/ AB = 20; AC = 15 ; BC = 25 r =  " " " M@ p p a p b p c p − − − = LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLHếtLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL • Ghi chú I(;*CD=!2 4 . NĂM HỌC 2009-2010 Lớp 9 (THCS) Ngày thi: 26/01/2010 Thời gian làm bài 150 phút (không kể thời gian giao đề)    ! "