nt rnr rcrAo sAr crruytN prt r,AN rr TRUd}vG TIIPT T"f XOEY xAu Hec 2oro - 2o1r lvtoN roAN LOP IO-BAN KHTN Thli gian: 150 pMt (kh6trg t6 ttroi gian giao d6) Ciu I1Z Oi6m; t Giai b6t phucng o,no, €F2x+5 < I (x e.R) [z,laa2t.gy +3x=s,tto-x-+y' 2.GiaihQphuongtrinh:1.' , ; r3' ++ , -\ (x,yeR) lx"+xY'=x'Y+6Yj CAu II (2.0 tli6m) Cho phuong trinh: x2 phdn bi6t CAu III +Zmx-ilm(m+t)-Sl=0 (l) Tim lzd€ phuong trinh (llc6 nghiQm thgc 4,x, thoi mdn +2x, =3 1}.0 aieml Trong m[t phing tqa dQ Orycho MBCvhi ,l(-t;t), hai tli6m B,C thir tg nim tr€n dudng thing L,:x-y+4=0, Lr:3x-y-8=0, trung di€m Mctn c4nh ABnim tr€n cluong thang t Lr:2x+3y-4= Tim to4 ctQ c6c iti6m B,C cho MBCvudng tai l Trong mft phing tea dQ Orycho tluong tron phuong trinh dudng thing A qua M vit ti}p xric (C):(x-l)'+(7-15)'=3vd dii:n M(-l;3) Lgp vdi (C) Cfiu IV (2.0 di6m) l Cho MBCthatmin mo=g ghfng minh ring sinl = Zsin(A+2c) Cho cdc s6 a,pthda mdn h€ *.i [r'"1, oreu Kten' +2otor)=1,o.(-*,*) l"or1r* z',n) =|, Tinh sin (a +2P) o.("r+) Cflu V (1.0 tli€m) Cho s6 thgc duong x,y,zthbamdn di€u ki€n D - - x' 'i- r+y * z =3 Tim gi6 tr!nh6 nh6t cria bi6u thric: v' ! -L- z' r i x+Zya'y+Zza'z+2xa **:-Het-'- H9 vi t6n thi sinh: Cdn bQ coi thi khdng giii thich gi th0m , S0 b6o danh: - oAp An vA rHANcnErr lAx u-mOx IOAN ro,mAu rnec 2010.2011 criArr,rrg*c En rrrlcrriosAr Lrru f: + nS hn tlwacacht;hdc cl,ingvdn cho.dftmtiit tla + Ddp dn gon 04 trang EA.U NOI'UN6 TBINTISAY v I ciei b& phuong trinh' &;fi1l EET+ 1.0 < I (x e n) s l-,6 Il +.rS'-+ ol.t 23+J.5n l:) - LZ I 0.25 ; tii; xz -3x+132x+5 I |{e, -zt+JrsT ' I e I t.2s x'-3x+l0*l r _',_6.,,i31 _ rS- L -B+JigT tiu}ra o - oXdt 0.25 o t,/ -3-& tVi -Srs- -rkti*# Ol coc+hy+ Q 4=y vfi (c) = d\r, )= R c+ lq'I n 4i 111?- l'1 +b' ^: = n,1 JaT e> 3(a2 + b2) = (2a + Chon +llb)' b=l= a=-24t c> az + Jqii5 Vay co rtuong thing can rim : a +l"i!b2 = c) a =, -b[b t b-j $s 4gb^a '(-z+tGl.,)"*Jr,*(- zl*-las)-e =o tlho A4Stlthoi nrdn ffio = c " Clirmg minh rnng sin ,{ = ls:ip 'ra c6 :;in sin = {r + ci = : sin (r - c} r,= sin (tr - B+ zr} | , + P> (x+ y + z)-|t,* = (x + y + z) Ki5t lufln: -|b *, * r)' = minP= -?r(zu* *') 0.25 0.2s 0.25 r, +2yz + z2 +Zzx + xr) - Z= I Diu ding thric xiy 0.25 x = ! = z = | -l -H Ikhi 16= y - s Wnh tudng, 08 tfuing 05 ndm 201I Td trudng chuydn m6n thim dlnh vi Gi6o vi€n it€ Iflp ildp 6n {f Nguy6n Thi HSnh Bni Hii Quang ... fro=ce4nf =4e ,2 l;92b2 +2c2 -4, =4cz c>o, =- '2( b, -"ti(1.) 'Iheo DL sin c6 (*) e2(sint B- sin'C) = *in' ;t