Thi sinh kh6ng duac sir dung tai lieu Gidm thi khong gidi thich gi them... va may tinh cc1mtay..[r]
Trang 1BOGIAO DlJC vA DAo T~O
I fJij I HI CHiN)H 1HUC
KY THI CHQN HQC SINH GI(~)louoc GIA THPT
NAM
2013-Mon: ToAN Thai gian : 180 phut tkhong ki (hoi gfan giao eM)
Bai 5 (7,0 diim) Tim t~t cit cac ham sa f: lR )' lR thoa man: f(O) =0, f(1) =2013 va
(x - y)(f(f2(x) - f(f2(y))) = (f(x) - f(y))(f2(x) - f2(y))
dung voi moi x,YEIR,trongd6 f2(X) = (f(x»)2.
Bili 6 (7,0 diim) Cho tam giac nhon ABC nQitiep dirong trim (0) va di€mD thuoc cung
Be khong chua diem A Duong thing t:.thay d6i di qua tnrc HimH cua tam giac ABC e~t
a) Xac dinh vi tri cua dirong thing t:.d€dien tieh tam giac AMN Ian nh~t
b) Ki hieu d, la duong thing di qua Mva vuong goc voi DB, d 2 la duong thing di qua
N va vuong goc voi DC. Chtrng minh ring giao diem P cua d 1 vad 2 luon thuoc mot dirong tron e6 dinh
Bai 7 (6,0 diim) Tim s6 cac bQ s~ptlnr tu (a, b, c, a', b', c') thea man:
voi a, b, c, a', b', c' E{O, 1, , 14~