KY THI HQC SlNH GTOTTHANH P H -~LOP NAM HQC 2012 - 2013 S& GL&ODVC VA DAO TqO HA NO1 - DC C H ~ N HTHOC -. -"* -4N- Man: Toan NgAy thi: 05/4/2013 Thlri gian Iirm bai: 150 phiit ( ~ ethi ' g&n OI trang) a) Tim c i c s8 thuc a, b cho da thuc 4x4 - Ix3 - 2ax2+ 5bn - chia h i t cho triciia P v6i a = + & vB b = - & Bai (5 diem) a) Giai h$ phumg trinh: ~6~~-~'-.ry+5~+5y 6=0 ~-' y - ~ + = b) Tim c l c s6 nguygn x, y th6a m2n: l L Bli ( dikm) Cho ba s8 thqc a , ~dumg thda m5n - + - + - = C h h g minh: a b c Bhi (7 diin) Cho tam gihc AAC co ba g6c nhgn, noi tiip dubng trbn ( ) va AB < AC Cac duhg cao AD, BE, CF clia tarn giac ABC gap tai H Gpi I la giao diem hai dubng thing EF vB CB D u h g t h b g A I tit ( ) tai M ( M khhc A) a) C h h g minh n5m diem A, M , F , H , E cung nim t r h rn+t d u h g tron b) Goi N Il trung didm cua BC Chirmg,minhba di&m M , H , N t h k g Mng c) C h h g minh BM.AC + AM.BC = AB.MC Bhi (1 dikm) Cho 2013 diem 4,4, ,A,, v8 d u h g trbn (0;l)tcy c h g n k n mat p h h g Chirng minh tren duimg trbn ( ;1) do, ta lu6n c6 the tim duuc mat diim M cho MX, + MA, + + hQ,,, 20 13 * f & ~ - - - DeThiMau.vn