TTBDVR TRANG LONG DE THI THU'DAI HOC DOT 2 NAM 2009 MON : ToAN ThOi gian Urn 00i : 180 ptUt Cilu1. Cho ham s6: y = mx3 - 3mx2+ 2(m - l)x - 1- m, (Cm). 1.Khaosatvaved6 thiv6i m = 1. 2. TIm m de d6 thi ham s6 co c,!c d~i, c,!c tieu. ChUngto dng hai diem c,!c tri lu6n cach d~uduang th~ngx = 1. Cilu2. 1. Giai phUC1Ilgtrinh: 2 COS4x + sin3x = sin2 (371" - ::). 4 2 . { X2 + y2 + 2(x + y) = 2 2. TIm m de h~ phUC1Ilgtrinh sau co nghi~m: xy(x + 2)(y + 2) = m Cilu 3. - 1 1. Tinh rich phan J[ln(3x4+ X2) - 2ln x]dx. 1 :I 2. Cho tu di~n OABC co cac dQdai OA = 4em,OB = 5em,OC = 6em vacocacgoc AOB = AOC = BOG = 60°.Tinh th~ rich tu dien 0 ABC. '" Cilu4. - 2 2 1. Cho Elip (E) : ~ + ~ = 1 vadi~m M thuQC(E). Gia sir (d) Ia duang th~ng tiep xuc v6i (E). t~i M va (d) dt tI1;1COx, Oy t~i A, B. TIm tQa dO di~m M d~ di~n tich tam giac AOB nho nhat. 2. Cho ba duang thang: (dd : x-I = ¥. = z - 3 (d2): :: = y - 2 ==z - 1 (d3): :. = y + 1 = z - 6. 211 12 3. 32 1 L~pphUC1Ilgtrinh duang thlmg(d)vu6ng goc v6i (d3),(d) cilt (dd t~i A, (d) cih (d2)t~i B saDcho AB = vTI. Cilu S. 1. Xet tat ca cac 86co 5 chii'86 t~o boi 5 86khac Mall. Hoi co baDnhieu 86 Ie ma lu6n co m~t hai chii'86 1 va 2 dUngc~nhnhau. 2. Cho x, y > 0 thoa man: X2 + y2 = 1.TImgia trt nho nhat cua bi~u thuc: 1 . 1 T = (1 + x)2(1 + _)2 + (1 + y)2(1 + _)2 Y X " Het """"'" . . phUC1Ilgtrinh: 2 COS4x + sin3x = sin2 (371" - ::). 4 2 . { X2 + y2 + 2( x + y) = 2 2. TIm m de h~ phUC1Ilgtrinh sau co nghi~m: xy(x + 2) (y + 2) = m Cilu 3. - 1. TTBDVR TRANG LONG DE THI THU'DAI HOC DOT 2 NAM 20 09 MON : ToAN ThOi gian Urn 00i : 180 ptUt Cilu1. Cho ham s6: y = mx3 - 3mx2+ 2( m - l)x - 1- m, (Cm).