so GD vA I>Ao TAO LAo CAl JC."" '? lit , cUQC THI CAP TINH GIAI TOAN TREN MTCT LOP THCS - N.AM HOC 2012-2013 MonTOAN Thai gian: 150 phut (khong kS thoi gian giao d@) Ngay thi: 17/0112013 D@thi g6m 10 Call, trang, mBi Call di6m (Chu y: Thi sinh lam bai tnrc tisp vao d@thi nay) DE cHiNH TmJC co Bang DIEM ToAN BAr Cac giam khao (H {J ten va chii ki) so Bang chfr SOPHACH (Do Truong Ban chlIm thi ghi) Qui dinh : -Thi sinh chi du{J'csir dung may tinh Casio fx- 500A, Casio fx- 500MS, Casio fx-570MS, Vinacal-570MS va cac /O{l; may t{nh co chu-c nang tuang duong, -Cac ba; khong noi gi them thi ghi kit quiz du cdc chii sa tren may -Cdc bai khong eo yeu cliu C!, thi thi phai trinh bay cdch gilli va ghi qui trinh ~~k Bfti 1(5 diSm ) Tinh gia tri bieu thirc (kSt qua lam trim dSn chi! s6 th~p phan ) rbi di~n k@tqua vao tr6ng A= - 13 12m+ 11~~ _ 9J8 + 1 7-16 - 514 + ,; 3-v2-1 sin ' a + sirr' (900 - a) cos" a - cos" (900 BZsin ' a + sin2(900 - a) + A= - a) biSt tann = 0,2345 B= Bai (5 diem): Di@nkSt qua vao tr6ng a) Tim lfCLN va BCNN cua ba s6 a = 680452, b IlfCLN(a,b,c) = 5953955, c = 1531017 I BCNN(a,b,c) = = b) Tim t~t ca cac c~p s6 (x,y) nguyen thoa man phirong trinh sau : , y 2x3 + x2 -llx + 2x-3 = voi - 25 ~ x, Y s 25 I (x,y) Cau 3(5 di~m): Cho day s6 voi s6 hang t6ng quat duQ'ccho boi cong thirc: +2,/5)"+e -2,/5)" - Un=( voi n = 1,2,3,4 a) Tinh UI, U2, U3, U4, U5 rBi diSn k8t qua vito tr6ng b) L~p cong thirc truy h6i tinh Un+2 thea Un+1 va U, L~p qui trinh fin phim lien tuc dS tinh Un+2 thea Un+1 va Un- C) Ap dung qui trinh dS tinh U20 va U22- Bai giai , " " " " 11 " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " to " " " " " " " " " " • " " • " " " " " " " " " " O)... tinh x thea a va b (v6i a>0, b>O) Ja +h-J1- x =1 + Ja - h-Jl- x Sau do, ap dung tinh x bi8t a=1 72013 va b=1 72012 Bai giai b) MQt s6 tv nhien co b6n chir s6, bi@tr~ng n@uviSt them chfr s6 vao