Trung Tâm Luyện Thi Vĩnh Viễn
Lưu Nam Phát

Câu I (2 

2x 4
x1


(C)
1. 
2.  
ang c
Câu II (2 
1. 
2sin4x 3 3sin2x 3cos2x  

2. 
 
22
3 3 2
x y 1
x 6y 2x y 3y xy 1




   








Câu VI. ( 2 
1. 
67 4
;
99





2. 
x 1 y 6 z 4
1 3 2
  


, mp(): x + 2y  3z  
 qua I = d
Câu VII. (1 

 
2
2
z z 4

ÑEÀ SOÁ 1



  


Câu III (1 
Tính tích phân I =
 
2
3
0
sin xdx
sin x 3cosx




Câu IV (1 

tích 
Câu V (1 

        
3 3 3
x y z
1 y 1 z 1 z 1 x 1 x 1 y

     

Câu VI. (2 


Nguyễn Văn Hòa
Câu I: 
 (1)
1. -2
2. Tìm 

2
.
Câu II: 
1. 


2


) + cotx + 4cos2
()
4
x


= 0
Câu III: (1  Tính tích phân:

Câu IV:(1 

6
2
a

33
1 sin cos , ( 3 )
55
z i z i

    

  =
12
zz ÑEÀ SOÁ 3

Trung Tâm Luyện Thi Vĩnh Viễn

Nguyễn Văn Hòa

Câu I: 

1. 
1
4


2. 
32
2
.


Câu VI: 

1. 

3
6
4
4
2
2






 zyx
và MN =
29

-
 C là 2x-y-

Câu VII: (1  
5
12
33
1 sin cos , ( 3 )
55
z i z i

=
2
)12(
2
x
(x

R).
) =



3
2
1
3
.
22x
xdx

)



MC

=

(





 zyx
và d
2
:





.0766
013665
zyx
zyx


1
và d
2
. 
1
, d
2


42
41
.

2. = mx (1).
)
1
.
2
2
4
sin
4
2sin 















xx


.
1


.
)
Cho
a
,
b

22
1 1 1
1
(1 ) (1 )
ab
ab
+³
+
++

Câu VI)

1. (P) : 2x + 3y  3z + 1 =
1
5
92
3
:


 zyx
d

x
x
x ÑEÀ SOÁ 6

Trung Tâm Luyện Thi Vĩnh Viễn

Trần Văn Tòan

Câu I : 
y = x
4
 2mx
2
+ m + m 
m = 1.

1
, x
2
, x
3
, x
4


.
Câu III : (1 
Tính tích phân
4
2
0
sin4x
I dx
1 cos x




.
Câu IV : (1
) , cho tam giác cân AOB có OA = OB = 2a ,
0
AOB 120



Câu V : (1 

3
23
x 1 x x 2   
.
Câu VI : 
1. 3 ; 




32
2
3 1 sin x
x
3tan x tanx 8cos 0
42
cos x
.

 
3
4
x 8 x 1 y (1)
x 1 y (2)

   






Câu III : (1 
Tính tích phân
3
1
0
2

2 3 5
  


,
2
x 1 y 4 z 4
d:
3 2 1
  


.

1
, d
2

1
và
d
2

1
và d
2
.
Câu VII: (1 
 2i)
3

x
+ + -
=+
-
.

22
4( 1) (2 10)(1 3 2 )x x x+ < + - +
.


Tính tích phân
4
2
0
tan
cos 3 2cos
x
I dx
xx
p
=
-
ò
.






==
   
2 5 0x y z+ - + =
      

1
, d
2



2zi
z
+

ÑEÀ SOÁ 9

Trung Tâm Luyện Thi Vĩnh Viễn

Lê Ngô Thiện
Câu I (2 )

32
(2 1) (3 1) 1y x m x m x m= - + + + - +

1. 
2. 
3yx=-







6a b c+ + ³

3 3 3
6
a b c
b c c a a b
+ + ³
+ + +Câu VI (2 
1. 
22
6 2 2 0x y x y+ - - + =


góc nhau.
2. Trong không gian 
2 3 0xy+ + =


Câu VII (1 

9 3 3 9 3
log (log ) log (log ) 2 log 36 ( )x x x R+ + = Î


2
0
ln( 1)x x x dx
Câu IV. (1 m)
S.ABCD SA G 
SACABG) SC MSD NMNABCD 
SA=AB=a AN và mp(ABCD) 
0
30
.

Câu V. (1 m) 
2
+ y
2
+ z
2
= 2.
 P = x
3
+ y
3
+ z
3
 3xyz.

Câu VI m)


Câu VII (1 m)

10)2)(3)((
2
 zzzz
,
z
C.
ÑEÀ SOÁ 11

Trung Tâm Luyện Thi Vĩnh Viễn
Trần Minh Thịnh
Câu I. (m) Ch
24
1
x
x




 
C

dAk. Tìm k sao cho (dC M,
N và

Câu IV. (1 m)
 

 .Tìm sin 

Câu V. (1 m) Cho tam giác nhn ABC,tìm GTNN ca S = cos3A + 2cosA + cos2B + cos2C

Câu VI. m)
1. 
)5;2(,)1;1( BA


04 x

0632  yx

giác ABC.

2
:
1 1 1
x y z
d





Trương Quang Ngọc

Câu I (2 ):
Cho hàm 
   
3
(2 1)y x m x

1
2

CâuII (2  ):

   
88
2(cos sin ) 1 cos4 0x x x



     
22
2 1 1
log (2 3 1) log (4 4 1) 4
xx
x x x xCâu III ( ) : Tính
 
xx


22
2 2 2 2 4
1 1 4 32( )
()
ab
a b a b a b

  


Câu VI ( 1  ):
-
CM: x+y-
-


()


Câu VII (  ):

3
1
.0
1
32
log
2


(2sin 1)(2cos 2sin 3) 4cos 3x x x xCâu III  ) : Tính




2
6
3
sin cos
dx
I
xxCâu IV  
1abc =

2 2 2
3
1 1 1 2
a b c
b c a
+ + ³
+ + +Câu V  ): 
Câu VI 
1.--
tâm

72
( ; )
33
G
 
2. Trong không gian Oxyz cho
   ( ) : 3 0P x y z
và
   ( ) : 1 0Q x y z

)(



()P
và
()Q

)(



Câu VII  
1. 


2
( 1)( 2) ( 1) 2 0
1
x
x x x
xCâu III  ) : Tính
8
8
cos cos8 cos7
1 2cos5
x x x x
I dx
x






Câu IV  ) : 
/
B
/

Câu VI 
           -1; 0), B(2; 0; -    


14
.
            
22
( 1) ( 2) 9xy   
 
-


Câu VII Tính
2011
()
1
i
i
ÑEÀ SOÁ 15

Trung Tâm Luyện Thi Vĩnh Viễn

Hà Văn Chương

CâuI  Cho
   


Câu III  Tính I =



2
4
0
tan
cos 1 cos
x
dx
xx

Câu IV ) :  chóp S.ABCD D là hình vuông 

0
60


Câu V  
3ab bc ca+ + =
. C
3 3 3
2 2 2
3
4
3 3 3
a b c
b c a

2
M
sao cho tam giác
12
OM M
vuông cân

O
.
ên khi
1m
.

Câu II ( 2 ):
1. 
   
2
3sin2 2sin 4cos 7 0x x x

2. 





2
1
1
11
log ( 1)

Câu VI ( 2  ):
1. 




=
6
5

2. Trong  ABCD có B(-2; 0), D( 4; 4 ). 


Câu VII (  ): 
0 1 2 2 2011 2011
2011 2011 2011 2011
C C i C i C i   

ÑEÀ SOÁ 17

Trung Tâm Luyện Thi Vĩnh Viễn

Hòang Hữu Vinh

CâuI ( 2 i ): 
   
32
31y x x mx

1

Câu IV ( 1  )

0
45SAB SAC
, SA=
2a





Câu V ( 1  ): 
22
24
cos cos
3(1 ) 3(1 )
xx
y
xx


Câu VI ( 2  ):
1. 
: 0 : (1 ) 0x mz m m x my

     



Trung Tâm Luyện Thi Vĩnh Viễn

Hòang Hữu Vinh

CâuI (2  ): 
x3
x1



1. 
2. Tìm M  (C) sao cho 

CâuII (2  ):

  
2
cot tan 4sin2
sin2
x x x
x






  


và M
/
( , )OR


Câu V ( 1  ):  :
2 4 2
x 3x 1 x x 1 0     
.

Câu VI 
1. 
2 2 2 2
( ): 2 4 13 0S x y z my z m      
và
15
:2
34
xt
yt
zt



  


  



nn
C C C C



    

ÑEÀ SOÁ 19

Trung Tâm Luyện Thi Vĩnh Viễn

Hòang Hữu Vinh

CâuI (2  ): 
    
4 2 2
22y x mx m m

1có ba  
2
2m
.
CâuII (2  ):


   
44
2sin( )(cos 3 sin 3 ) sin2 1
4
x x x x


       


2. 
(0;5), ( 2; 1), (4;2)A B C

M
l
BC
sao cho

ABM

ACM

AM BCCâu VII  àng 
 


ÑEÀ SOÁ 20