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)
=

¥.
=
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 """"'" .........