BỘ GIÁO DỤC VÀ ĐÀO TẠO
ĐỀ CHÍNH THỨC
ĐỀ THI TUYỂN SINH ĐẠI HỌC, CAO ĐẲNG NĂM 2009
Môn thi: TOÁN, khối A

PHẦN CHUNG CHO TẤT CẢ THÍ SINH
Câu I !"

 #
x
y
x
+
=
+
$% !!&'())*+, !"
/'0123'45' +,!"''45'6-728- 28-4
90:;<=>?)-@>?-<;"-AB@
Câu II 
C%0123
 !D- !D
 #
 !D !D
−
=
+ −
C%0123
#
 #D  # E FD   D G− + − − = ∈
Câu III HH-<



Z5

ZW

aDac5aEWaNV2RPQb-7P-94KU
B02de-,AB<)HH 02d6
Câu VII.a CAW

)W

=V- 0123
W

ZWZNH2, 4V-
 
 
> W  W= +

B. Theo chương trình Nâng Cao
Câu VI.b 
2 PQ)T=AB@D5- 02dDZ5ZcDZc5ZEN)
0Q
∆
DZ5aZ#N)T!"&-CAI< 02d
3
∆
-7;<=>)?! - J=H-
∆
I>?Tf

=


gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Cán bộ coi thi không giải thích gì thêm!
iA(H!jjjjjjjjjjjjjjjjjjK?Ljjjjjjjjj
class="bi x0 y52 wb h13"
class="bi x0 y53 wc h14"
Đáp án đề toán khối D - 2009
Câu I.
 )TN5ND
c
aD

Ze^LNGM
Z5kNcD
#
acD
5kN
⇔
DNMDN
±
Z^-&-;M-&-l4gMg)Mg
Zi!"+'2(gM)
M+∞
Mi!",-'2(
 M MM−∞ −

Z?%'(
Z^+,

⇔ ⇒ < + < + ≠

= +


− < <

⇒


≠

Câu II.
C%0123
# - !F ! # - ! ! x x x x− − =
# - !F !F !  !  # - !F ! F !
# 
- !F ! F ! ! F !
  #
F 
#  #
 
F 
# E 
x x x x x x x
x x x x x
x x k x k
k Z
x x k x k
π


+ − + =


^$
x
≠
-1-1
x
0
-
∞
+∞
-
0
+∞
0
y'
y
-1
1
+∞
- +
0
0
0

 

# #

⇔ + + = ⇔

 ÷
 

= −


= − = −


⇔

= − =

Câu III.
# # # #
   
# 
# 
 
     
#
   
   

x x
x
x x x x x x x
x

= =
CAp24>
O MN AC= ∩
i;
 IH AC IH ABC⊥ ⇒ ⊥
6
 

o o
c
a
AM AA A M= + =
#


M #


 c
# #
  c c
 
# # # q
ABC
IK IM OM
AC a
IH IA AN
IH IK
a
IH HK

c
t≤ ≤
0:-


c


c
F 
  s s 
 
q  #  #
  s s  
E c c
t
t
MaxS Maxf t khi x y
MinS Minf t khi x y
≤ ≤
≤ ≤
= = = = =
±
= = = = =
m
Câu VIa.
A
B
C
A’

L _24>?(!452?#Mg

ME
    E q 
#M 
d
n u
BC PT BC x y
B

= =

⇒ + + =

−


r uur


t  # 

E q 
#
M 

x y
N d BC
x y
N


=

uuur
/3
 M M   M M D AB D t t t CD t t t∈ ⇒ − + ⇒ −
uuur
^L! ! )Tb3
P
CD n⊥
uuur r
-6
MM
P
n
r
 # 
 M M 
  
P P
CD n CD n t D
 
⊥ ⇔ ⇔ = − ⇒ − −
 ÷
 
uuur r uuur r
<4/II
 
w # c w 
w #  c w 

OM d k ptOM y x⊥ ⇒ = ⇒ =
 ;B _  @_)
 

# #
M
#
 
  
y x
M
x y

=
 

⇒
 ÷

 ÷
 

− + =

Z
# k =
J
#  # #y x x= − = −

/3

MM M MM #
P
u n
∆
= − = −
r r

  MM
d
P
u u n
∆
 
⇒ = = −
 
r r uur
CA_  
∆
)b-6_g#MM(_4B-J
/\5J
#
 

x t
y t
z t
= − −


= +


M   
 E
A B
I I
x x m
x x m TM
+ −
= = = ⇒ =

C)29_;Saibx01'/gip
p45{/|4a^ip=ip
ĐÁP ÁN THI TUYỂN SINH ĐẠI HỌC, CAO ĐẲNG NĂM 2009
Môn thi: TOÁN, khối A
class="bi x0 y1e w3c h32"
class="bi x0 y9 w3c h33"
class="bi x0 y79 w3d h34"
class="bi x0 y9b w3e h35"
class="bi x0 yba w3f h36"