Thi sinh kh6ng duac sir dung tai lieu Gidm thi khong gidi thich gi them... va may tinh cc1mtay..[r]
(1)BO GIAO I I vA DAo DlJC KY T~O fJij I HI CHiN)H HUC BANCHINH Mon: ToAN Thai gian : 180 phut tkhong ki (hoi gfan giao eM) Ngay thi thir hai: 12/0112013 I Bai (7,0 diim) Tim t~t cit cac ham (x - y)(f(f2(x) dung voi moi x,YEIR,trongd6 THI CHQN HQC SINH GI(~)l ouoc GIA THPT NAM 2013- sa f: - f(f2(y))) f2(X) lR )' lR thoa man: f(O) = 0, f(1) = (f(x) - f(y))(f2(x) = 2013 va - f2(y)) = (f(x»)2 Bili (7,0 diim) Cho tam giac nhon ABC nQi tiep dirong trim (0) va di€m D thuoc cung Be khong chua diem A Duong thing t: thay d6i cac duong tron ngoai ti~p tam giac ABH (M*H, di qua tnrc Him H cua tam giac ABC e~t va tam giac ACH l~n hrot t~i·M va N N*H) 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, d2 la duong thing di qua N va vuong goc voi DC Chtrng minh ring giao diem P cua d1 va d2 luon thuoc mot dirong tron e6 dinh Bai (6,0 diim) Tim s6 cac bQ s~p tlnr tu (a, b, c, a', b', c') ab+a'b'::l ac { voi a, b, c, a', b', c' E thea man: (mod 15) + a'c':: (mod 15) bc+b'c':: (mod 15) {O, 1, , 14~ -tI~1r -• • Thi sinh kh6ng duac sir dung tai lieu Gidm thi khong gidi thich gi them va may tinh cc1mtay (2)