Gpi I la giao diem hai dubng thing EF vB CB.
Trang 1S& GL&O DVC VA DAO TqO KY THI HQC SlNH GTOT THANH P H ~ - LOP 9
- - - - - " * - - - 4 N -
1 DC C H ~ N H THOC 1 Man: Toan
NgAy thi: 05/4/2013 Thlri gian Iirm bai: 150 phiit
( ~ e ' thi g&n OI trang)
a) Tim c i c s8 thuc a, b sao cho da thuc 4x4 - 1 Ix3 - 2ax2 + 5bn - 6 chia h i t cho
triciia P v6i a = 4 + & vB b = 4 - &
Bai 2 (5 diem)
~ 6 ~ ~ - ~ ' - r y + 5 ~ + 5 y - - 6 = 0
a) Giai h$ phumg trinh:
1 2 0 ~ ' - y 2 - 2 8 ~ + 9 = 0
b) Tim c l c s6 nguygn x, y th6a m2n:
l L 3
B l i 3 ( 2 dikm) Cho ba s8 thqc a 6 , ~ dumg thda m5n - + - + - = 3 C h h g minh:
Bhi 4 ( 7 diin) Cho tam gihc AAC co ba g6c nhgn, noi tiip dubng trbn ( 0 ) va
AB < AC Cac duhg cao AD, B E , CF clia tarn giac ABC gap nhau tai H
Gpi I la giao diem hai dubng thing EF vB CB D u h g t h b g A I tit ( 0 )
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,minh ba di&m M , H , N t h k g Mng
c) C h h g minh BM.AC + AM.BC = AB.MC
Bhi 5 (1 dikm) Cho 2013 diem 4,4, ,A,, v8 d u h g trbn (0;l) tcy 9 c h g n k n
trong mat p h h g Chirng minh tren duimg trbn ( 0 ; 1) do, ta lu6n c6 the tim
duuc mat diim M sao cho MX, + MA, + + hQ,,, 2 20 13
-* f & ~ - - - - -