Tài liệu Đề ôn thi CĐ ĐH môn Toán có đáp án pdf

ĐỀ ÔN 1
I. PHẦN CHUNG
Câu 1
 

x
y
x
+
=
−

C


 !"!#
y x m= +
$%&&&'(&)*+,!&
-*,#&)./!
 
0&-1!23
Câu 24&&)'5!67

8  
9
1! 1! 9: 8
1! 
8 ; 9: 8
xy
y
x

x x xy x x y

+ = −



+ + = +

4&&'5!67


9  
    8 
&<
c x
x x
x
−
+ + =

Câu 3=..'(>

  &<?<
dx
I
π
π
=
+
∫

=7'5!67>!&)
9 : ; 9 : ;
:
x m
x x x x
+
+ + − + + − − =
Câu 4a7'!&@*,+6!
( )
SA ABC⊥
+@A*,1!&>B!(C+
!&D!!&E&F'"!@,*,/!
α
=..G&'@*,H
α
=7
α

.%!&610I
b=6!F'"!23-<J+ !6K
( ) ( )
 
9  Lx y− + − =
MN''5!67 !"!#
&O>!23$%&&&*+,*,A8
Câu 5 PQ#5!<+J+RST
9x y z+ + =
=U
V
!&6SIW&>X


( ) ( ) ( )
  
x y z y z x z x y
P
yz zx xy
+ + +
= + +
II. PHẦN TỰ CHỌN
1.Theo chương trình chuẩn.Câu VI a9Y=6!F'"!0&)23-<J+&Z9[& !
"!#
9
<\JA]+#

<^JA]=7&*6_-<+,6_#
9
6_#

!&*,>B!
(%&*! &,&<X!0&>O>&Z
Y=6!GB!!&0&)23-<JR+ !"!#

9
9
9

+
=
−
=

zyx
&F'"!
]+]`
=++−=+−+
zyxzyx
βα
MN''5!67Fa>@(6_#&b'<c0&&F
'"!T
Câu VI a.4&&'5!67>6!N''X
]9]8`

=−−+−+ iziziz
2. Theo chương trình nâng cao
Câu VI b9Y!&*,(%&'5!67%*,1<?J^99A]+'5!67%
*<^`J?98A]%,&O>&d[?eTJ&b'5!67%,
Y=6!GB!!&0&)23-<JR+& !"!#
9






=
=
−=
tz
y
tx



#


9
9
9
 zyx
=
−
=
−
f&b'5!67 !"!#!!0&-R$#
9
#


Câu VII b9&4&&)'5!67



=+−+
=−
91!1!



yxyx
yx
ĐÁP ÁN ĐỀ THI THỬ ĐH LẦN MÔN TOÁN LỚP 12 NĂM HỌC 2008-2009

Câu Hướng dẫn Điểm Câu Hướng dẫn Điểm
Câu
1a
Câu
1b
^=ghAi
^=.jJk+MG!5&)>+
&Q6+&)N
^,,=
^g
^l=3!&&
2
( 4) 2 3 0x m x m+ − − − =
m&
!&)l=
⇔
2
28 0m m R
+ > ⇔ ∈
^42&*<
9
[<
9
^+,<

[<

^+0&
<
9

+<

1!&)l=m
^
2
1
( ; ). . 28
2 2
OAB
m
S d O d AB m
= = +
]`
]`
]`
]`
]`
]`
Câu
4a
Câu
4b
:\<Al=!&)
⇔
19 28m< ≤

^M
77 100m
≤ ≤
F

19 28m
< ≤
^
f7c!
^
3
2
1
V= . sin .(1 sin )
3 3
ABC
a
SA S
α α
= −
^PY 
2
.(1 )y t t
= −
 >J6f
<
 A
2
2
G&
0
45
α
=
^g !6KZ9[+iA

g !"!
( )∆
a7JAG<
]`
]`
]`
]`
]`
Câu
2a
Câu
2b
Câu
3a
Câu
3b
^
2
2 3 . 28 2 3
2
OAB
m
S m
= ⇔ + =
208 14m
⇔ = ± −
^g
> > ≠ ≠
0, 0, 1, 1x y xy y
^=nl=9<JA8

^=b<

\8<^9A]
2 3x⇔ = ±
^Me)!&)1
4 4
2 3; ; 2 3;
2 3 2 3
   
+ −
 ÷  ÷
+ −
   
^g&8<
≠
]
^l=
3
cot 4 4 cot 4 3 0x x⇔ − − =
cot 4 1
1 13
cot 4
2
x
x
=


⇔
±


=


^4&&c!2!&)
^Mb1>Nc!
^
π
π
π
π
 
+
 ÷
 
=
 
+
 ÷
 
∫
2
3
1
2 6
8
cos
2 6
x
d

I
x
^
= −
3
4
I
^g
≥
8x
^l=
+
⇔ − + + − − =
8 3 8 3
6
x m
x x
^ob>
17x
≥
+l=6p
12 8x x m+ − =
l=!&)
17x ≥

⇔
77 100m≤ ≤

^ob>
8 17x

≤ <
+l=6p
]`
]`
]`
]`
]`
]`
]`
]`
]`
]`
]`^]+`
]`
]`
]`
Câu
5a
Câu
5b
^q,=
⇔
( , ) 5d I ∆ =
2
2
1
5
2
1
k

k
k
−
⇔ = ⇔ = −
+
^
(3; 1;2), (1;3; 1)
P d
n u= − = −
uur uur

4&&W#l1&
*9`[;[?L
^g !"!#ka7O>*
N
, ( 4;5;10)
P d
n u
 
= −
 
uur uur
1f=l
( ') :d⇒

15 28 9
4 5 10
x y z
− − +
= =

−
^=
( )
( )

 
9 9 8
+
 
= + + ≥
 ÷
+ +
 
x y z
x x
y z
yz y z y z y z
h
2 2 2
4
x y z
P
y z z x x y
 
≥ + +
 ÷
+ + +
 
^*r'#s!,g=,@
2

( )x y z+ + =
2
. . .
x y z
y z z x x y
y z z x x y
 
+ + + + +
 ÷
 ÷
+ + +
 
2 2 2
(2 2 2 )
x y z
x y z
y z z x x y
 
≤ + + + +
 ÷
+ + +
 

2 2 2
1
2 2
x y z x y z
y z z x x y
+ +
⇒ + + ≥ =

+ + +
=n
2P ≥
hI>tAu<J6G&
1
3
x y z= = =
KL&PA+G&
1
3
x y z= = =
Hết
]v`
]`
]`
]`
]`
]`