iNH aAC NINI-{ of xrtnn rna NANG LVc cnuvtN na0N ctAo vltll UBND TiNH BAC NINI-{ sO clAo DUC vA DAo rAo oE cniNu rHfc NAnn Hec zotz -zot3 Mdn: Toin - THCS Thdi gian ldm bdi:/5 0 philt (hhdng kd thdt gianphdt di) Ngny ki6m tra !4 thdng 4 ndm 20i3 Cflu I (1.5 tli6m): l)Tfnhgi6tricriabi6uthrlc P=x2(x +y)-2y'(x+y) +2013x2-4026y2+2(x+y)+4036,bii6t rang x+y+ 2013:0. 2) Tim sO qu nhien n biiSt r[ng khi chia 147 vi 193 cho n thi c6 sO du l6n luqt ld 17 vi 1 1. Cflu 2 (2,0 tli6m): l)Tim x,y,z biiit: x : 4y : * vdx* y+z : 2A29. " 125 2) Cho c6c don thrlc: M: xy2z3; N : yzzt3; P : zt?x3; Q : ft't'. Chtlng t6 r6ng vdi gi6 tri cria c6c biSn hm 2 trong 4 tlon thrtc tr0n c6 gi6 tri kh6c d6u thi 2 dsathtc cdn l4i cfing c6 gi6 tri kh6c d6u. C6u 3 (2.0 di6m): 1) Phan tich da thrlc sau thanh nhdn tt: x2 +Zxy -15y' . 2) ChoA: 13 + 23 +33 + + 1003 vdB : L + 2 +3 + + 100. ChfmgminhrdngA chia htit cho B. 3) Giai phucrng trinh: Bf **1)' ++(*'*+)' -+(*'+.1 \r I \2 t I x./ ( x' ) ( P,J{,".*J =(x+4)'' Cflu 4 (3"0 di6m): Tt m$t eli€m D nim ngodi dudrng trdn (O; R) kE hai tii5p tuyi5n DA vd DB di5n dudng trdn (A vd B Ii c6c ti6p di6m). K6 tia Di nim gita hai tia DAvi DO, tia Dx c6t dudng trdn t4i hai di€m C vi E (E nim gita C vi D). Doan thing OD cft ctoan thdng AB tai M. Chung minh reng: l) DC.DE : DO.DM vi trt gi6c OMEC nQi tii5p. 2)m[:Em ^, (N,B)' DE " Ino.J :nc' Cf,u 5 (1.5 tliSm): 1) Vdi a, b li c6c si5 nguy€n. Ch{mg minh rang n6u 4a2+3ab-11b2chia hiit cho 5 thi ao - bo chia hiSt cho 5. 2)Chfngminhring: 4*-L*-L*4* *, 1 =, <l,vdineN[*. 3Jt sJ3 7^ls gJt (2n+ L)Jzn-l nEr Th[ sinh kh6ng tttrgc srb dyng tdi liQu Cdn b$ coi thi khdng girti fiich gi thdm. . DAo rAo oE cniNu rHfc NAnn Hec zotz -zot3 Mdn: Toin - THCS Thdi gian ldm bdi:/5 0 philt (hhdng kd thdt gianphdt di) Ngny ki6m tra !4 thdng 4 ndm 20i3 Cflu I (1.5 tli6m): l)Tfnhgi6tricriabi6uthrlc