Đang tải... (xem toàn văn)
Ket qua cua nhung phep tinh gdn dung thi sinh lay chinh xdc den 4 chit so thap phdn.. Bai 1; Tinh gia tri cua bieu thuc:..[r]
(1)PHONG GD&DT HUYEN TRAN VAN THCfl DE THI CHQN HQC SINH GIOI LCfP THCS NAM HQC 2012 -2013 Ngaythi : 11 -11-2012 Mon thi : GIAITOAN TREN MTBT CASIO Thcfi gian : 150 phut (khong ke thcfi gian giao de) DE CHINH THUC SO PHACH (Do CM tich hoi dong cham thi ghi) CAC GIAM KHAO (Ho ten va chu ky) DIEM CUA TOAN BAI THI Bang chfi- Bang so Quy dinh; De thi co 10 bai, moi bai diem Thi sinh lam bai true tiep vdo ban cte thi r > -\ Neu bai todn khongyeu cdu, thi sinh chi can trlnh bay each gidi khong r r ^^ ^^ cdnphdi viet quy trlnh bdmphim cu the Ket qua cua nhung phep tinh gdn dung thi sinh lay chinh xdc den chit so thap phdn Bai 1; Tinh gia tri cua bieu thuc: l + A/2 A/2+A/3 A/3+A/4 '" A/2011+A/2012 A/2012 + A/2013 Trlnh bay each sidi: , 1-V2 V2-A/3 V3-V4 V2011-V2012 A/2012-A/2013 M = + + + + +3-4 2-3 2011-2012 2012-2013 1-2 t, M = l-A/2 •1 Ket qua; A/2-A/3 A/3-A/4 -1 M = 43,8665 -1 H H A/2011-A/2012 -1 h- A/2012 -A/2013 -1 (2) Trang Bai 2; Tinh gia tri cua bieu thuc: x +l = x + —=- : —= V:c-l ) (xjx-l =— voijc = 169,78 Kit qua; B = -2833,6466 Bai 3; b) Tinh ket qua dung (khong sai so) cua tong: 223 223 223 E = ; -H ; -+• 0,(2007) 0,0(2007) 0,00(2007) Trinh bay each gidi: 223 223 223 _ 223x9999 223x99990 223x999900 " 2007+"200T+ 2007 " 2007 + 2007 + 2007 9999 99990 999900 223(9999 + 99990 + 999900) 2007 Ket qua; E=123321 r r r r > Bai 4; Tim so tu nhien N Ion nhat co chu so biet rang chia N cho 317, 247, 101 deu co cung so du la 31 Trinh bay each gidi: Goi x la so chia cho cac so 317; 247 va 101 deu cho so du la 31 Khi do: x - 31GBC(317, 247 , 101) Do BCNN(317, 247, 101) = 7908199 Nen: x - 31 =k 7908199 => x = k 7908199 + 31 Theo gia thiet ta co: x< 99999999 Hay k 7908199 + 31 < 99999999 Dodo: k < Vay: N= 12 7908199 + 31 = 94898419 Ket qua; N= 94.898.419 f > \i 5; Mot nguoi bat dau di lam vai muc luang khai diem la trieu dong mot than _ > Cu sau nam nguai duac tang luang them 8% luang cu Tinh tien luang thang cua nguoi a nam cong tac thu 31 (ket qua lam tron den 100 d6ng) (3) Trang Trmh bay each gidi: Goi Tn la tien luong mot thang nguoi co dugc sau dot tang luong Sau 31 nam thi nguoi co 10 dot tang luong Goi T0 la luong khai diem Khi ta thay: To = 000 000 Voi n = thi TI = T0 + T0XO,08 = T0(l + 0,08) Vai n = thi T2 = T! + TjXO,08 = T0(l + 0,08)2 Vai n = thi T3 = T2 + T2XO,08 = T0(l + 0,08)3 Vai n = 10 thi T10 = T9 + T9XO,08 = T0(l + 0,08)10 Thay so ta dugc ket qua Ket qua; 4317800 (dong) Bai6; Cho P(x) = x4 + 5x3 - 4x2 + 3x + m va Q(x) = x4 + 4x3 - 3x2 + 2x + n a) Tim cac gia tri cua m va n de P(x) va Q(x) cung chia het cho x - b)Vai gia tri cua m va n tim dugc , chung to rang R(x) = P(x) - Q(x) chi co mot nghiem nhat Trlnh bay each gidi: a, P(2) = 46 + m => P(2) = O m = - 46 Q(2) = 40 + n => Q(2) = O n = - 40 b, R(x) - P(x) - Q(x) = x -x + x - = ( x - ) vai moi x nen R(x) chi co 01 nghiem la x = M, =1,M =2 Bail: Cho day s: a) Vilt quy trinh bam phim tren may tinh gia tri cua un b) Ap dung tinh u45, u46 Trlnh bay each gidi: Quy trinh: An SHIFT STO D SHIFT STO A SHIFT STO B Ghi vao man hinh: D = D + : A = A + B:D = D + : B = B + an = nhieu Ian cho den hien D = 45; D = 46 thi A la gia tri can tim (4) ^ Trang Ket qua; OH = 1.836.311.903: u46 = 2.971.215.073 Bai8; Tim chu so thap phan thu 13,2012 sau dau phay phep chia 250000 cho 19 Trmh bay each gidi: Taco = 13157 + — Vay chi can tim chu so thap phan thu 132012 sau dau phay phep chia 17:19 Buac 1: An 17: 19 = 0,8947368421 Ta dugc chu so dau tien sau dau phay la 894736842 + Lay'l7 - 0, 894736842 * 19= 10'9 Buac 2: Lay 2: 19 = 0,1052631579 Chin so a hang thap phan tiep theo la: 105263157 + Lay 2-0,105263157* 19=1,7 10' =17 10'9 Buac 3: Lay 17: 19 = 0,8947368421 Chin so a hang thap phan tiep theo la + Lay 17 - 0,0894736842 * 19 = 10'9 Buac 4: Lay 2: 19 = 0,1052631579 Chin so a hang thap phan tiep theo la: 105263157 f r ••• Vay 17 :19 = 0, 894736842105263157894736842105263157 = 0,(894736842105263157) Chu ky gom 18 chu sd Taco 133 = l(modl8)^132012 =(l3 ) 67 °xl3 sM69(modl8) = 7(modl8) /• ^ r \ Ket qua so du la 7, suy so can tim la so dung a vi tri thu chu ky gom 18 chu so thap phan Ket qua : so Ket qua; so Bai9; Cho tarn giac ABC vai AB = 6cm; AC = 8cm; BC = 10cm va G la tarn cua tarn giac Tinh GA + GB + GC? Trmh bay each gidi: Tom tat each gidi: + Tarn giac ABC co: AB2 + AC2 = BC2( Do 62 + 82 = 102) nen AABC vuong tai A + TinhAM=—= (cm) v } + Tinh BN = VAB2 + AN2 = >/62 + 42 = V52 ; 7,21110 (cm) (5) Trang + Tinh CP= VAP2 + AC2 = ^32 + 82 = V73 ; 8,54400 (cm) + Do GA+ GB+ GC= -(AM+ BN+ CP) Ket qua: GA+GB+GC ^ 13,8367 (cm) Bai 10; Cho tarn giac ABC vuong tai A, AB = cm, BC = cm Tinh dai duong trung tuyen BM va duong cao AH cua tarn giac ABC (Me AC, HeBC) Trlnh bay each gidi: B, + Tinh duoc: AM = -^BC2-AB2 + Tinh duoc: BM = AAB2 +-(BC2 -AB2) =-V#C +3AB + Tinh duac: AH = AB.AC Ket qua: BM« 5,5678 cm; AB^BC2-AB2 BC AH « 3,4993 (Can bo coi thi khong gi thick gi them) (6)