ChfmgminhrdngA chia htit cho B.. Doan thing OD cft ctoan thdng AB tai M.
Trang 1iNH 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$t eli€m D nim ngodi dudrng trdn (O; R) kE hai tii5p tuyi5n DA vd DB di5n dudng trdn (A vd B Ii c6c ti6p di6m) K6 tia Di nim gita hai tia DAvi DO, tia Dx c6t dudng trdn t4i hai di€m C vi E (E nim gita C vi D) Doan thing OD cft ctoan thdng AB tai M Chung minh reng:
l) DC.DE : DO.DM vi trt gi6c OMEC nQi tii5p.
2)m[:Em
^, (N,B)' DE
" Ino.J :nc'
Cf,u 5 (1.5 tliSm):
1) Vdi a, b li c6c si5 nguy€n Ch{mg minh rang n6u 4a2+3ab-11b2chia hiit cho 5 thi
ao - bo chia hiSt cho 5.
2)Chfngminhring: 4*-L*-L*4* *, 3Jt sJ3 7^ls gJt (2n+ L)Jzn-l -.1 =, <l,vdineN[*.
nEr
Th[ sinh kh6ng tttrgc srb dyng tdi liQu Cdn b$ coi thi khdng girti fiich gi thdm