Ho vh t6n thi Chfr ky girlm thi s 1: Sii Ueo danh: RAr rY rnr CHQN HSG Lop e VONG THJ pHoNG GD&DT THI XA GrA NAM HQC 20ts - 2016 ON CTTINH THTIC * Mdn thi: TOAN * Ngiry thi: 27 1121201.5 (GOm 01 trang) * Thoi gian: 150 phrit (Kh6ng k€ thdt gian giao di) EE Cffu 1: (5 tli6m) a) Tim sO tg nhi6n a, biSt o + 10 vd a - 79 liL c6c s6 chinh phucrng b) Cho: B = a3 + 5a;Y a e Z Chung minh: Bi6 Cdu 2z (5 tli6m) a) Gi6i phucrng trinh: (z* b) Giei hQ *r)G = r' + phucrng trinh: {@,' - +')(zo -') lu' -2Y = -r =3 Ciu 3: (5 tli6m) rCho bieu thuc: A a) Rrit ggn bi6u = "l';3 r-24r -3 ,(J; -3) Ji +t -Gi-1-G thtc A b) Tinh gia tri cua bieu thlc A voir - - 2J; c) Tim giatrinho nh6t ciua A C6u4: (5 tli6m) Cho dulng trdn (O; R), dubng kinh AB = 2R Gqi C ld trung diiSm cira OA, qua C kA ddy MN vu6ng.g6c v6i OA Ldy di6m K ld m6t diOm y tr6n cung nhb BM, gAi H ld giao di6m crta AK vit MIt{ Chimg minh: a) Tri giSc AMOAI ld hinh thoi b) Tf fiac ACTN n6i ti6p dugc c) Tinh AH AK theo R d) X6c dinh vi tri oiua di6m K dc (*u + tinh gi6 tri l6n nh6t d6 - nnr - KI{ + Na) dg giStri lcrn nh6t vd- PHONG GD&ET THI XA GIA #on cniNn rntlc , ' RAI KV THI CHQN HSG LOP VONG THI NANi*nq.2ots-zor6 *M6nthi:TOAN (G6m 05 trang) TIUONG OAN CTTAVT NQi dung Cflu S6 tIi6m (5 tli6m) Ta c6: o + 10 vd a - 79 lil c6c s6 chinh phucrng DAt: ' [a+10 =m2 , \Ym,n e N -79 = n' { [a o(*-")(*+n) Md: 0,25d -n'=89 avnz a) 0,5d 0,25d =3e rn-n0 0,25d (5 rli6m) a) *r)G = r' + o *J-,(l; -r)-(J; - z) = o Ta c6: (z* 0,5d .= (G - r)( 1; el el -') = o 0,5d le-2=o ' lrlr-1=0 0,5d fr=l 0,5d l*=4 0,25d VQy: S = {r;+} [t'-+r)(za-*)=z lu'-2v-r=3 qa)(za -,) = It,, or)*(rr-,)=3 L(,, Ta c6: ( D6t: )v 0,25d '-4a=* 0,25d y-tr=n 12 Ta c6 hQ phucrng lm,.n = trinh:] 0,25d =J lrn+n I rn=l b)