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30 đề thi thử ĐH môn Toán

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ĐỀ 1

Câu I ( 3,0 điểm )

 
 = − + −xy x
 !"#$
%&'(#)*+,#-,../"#$
* 01,2"#$34( $,5678,2#9:,
%; !<,2,2=6>,*=#

 
 ?− + =xx k

Câu II ( 3,0 điểm )
%'678,2#9:,
 @
 
 A


=
x
x
*  


,
=y
x
 :,2;B-, C4


D%3*+#9E,2"#$ D%C4F;%
G
H
π
I?
:2(#9$,J,K# D%

= + +y x
x
.L4M?
Câu III ( 1,0 điểm )
:, !6 #%2(  N; ! O,*E,2 
H
 .
7P,2 %QRB#S,T=,#S  D%U# V;,2O
#+6:, !6

 S,W  78,2#9:,,#:X Y7Z X
6V,T,9-,2  78,2#9:,!
 Theo chương trình chuẩn[
Câu IV.a ( 2,0 điểm )[
9,25\,22%,.L=#W%]4B^3 7P,2
#_,2
 T  [ 
 
  
+ +
= =

x y z

 .  U#  6_,2    [
 ` ?
+ − − =
x y z

%a,2,9E,2T b##Oc:#W%]
c
*d+#678,2#9:,7P,2#_,2

F;%c3,E
#9,2..;\,22! .LT
Câu V.a ( 1,0 điểm )[S,T=,#S :,6_,22L
O,*e ( 7P,2[

X, 3 3= = =y x x x e
e
.#9f ,
 Theo chương trình nâng cao[
Câu IV.b ( 2,0 điểm )[
9,25\,22%,.L=#W%]4B^3 7P,2
#_,2
T[
 @
 

= +


= +



= − +

x t
y t
z t
.U#6_,2[
 ` ?
− + + + =
x y z

%a,2,9E,2T,E#9-,U#6_,2
*d+#678,2#9:,7P,2#_,2

,E#9,23
,2,2.LT. ( T]#5',2X
@

Câu V.b ( 1,0 điểm )[
: g,*h % D%6a 
@= −z i
ĐỀ 2

Câu I ( 3,0 điểm ) 
 

+

=
x

x
y
 !"#$

%&'(#)*+,#-,../"#$
*d+#678,2#9:,#+6#;B+,.L"#$F;%
GIi
Câu II ( 3,0 điểm )
%'*K#678,2#9:,

X2
, 
@
 

+
>
x
x
I*S,#S 6>,[
Q

?
   +

x
x dx
'678,2#9:,

@  ?

− + =
x x
#9-,#h66a 
Câu III ( 1,0 điểm )
G]#:,#9f !*(,5S,(BjQ3 N; %Q


G]#:,.;\,2 ! ( Y,,E#9-,%7P,2#9k,
(B%  !S#,K#]# O,5\,2,2,2.
5\,2.;\,22! .L#9f  D%:,#9fS, O, D%
:,.;\,2!
jl
Theo chương trình chuẩn[
Câu IV.a ( 2,0 điểm ) [
 9,2 5\,22%,.L =#W%] 4B^3  
GI?I`.%U#6_,2
[
   ?− + + =x y z
.m[
` ?+ − + =x y z

%S,5',2 ( #nG+,U#6_,2m
*d+#678,2#9:,U#6_,2jF;%2%#;B+,
T D%.m",2#P.;\,22! .LU#6_,2
[
  ?
− + =
x y

Câu V.a ( 1,0 điểm )[

  :, 6_,2    2L  O, *e ( 7P,2  B Q

− +x x
 . #9f ,S,##S  D%5#9k,
4%B#O#,5F;%B:,F;%,#9f ,
Theo chương trình nâng cao[
Câu IV.b ( 2,0 điểm )[
9,25\,22%,.L=#W%]4B^3 7P,2#_,2
T[
  
  
+ + −
= =
x y z
.
U#6_,2[
 ` ?
+ − + =
x y z

%:#W%]2% D%7P,2#_,2T.U#
6_,2
*S,2! 2o%7P,2#_,2T.U#6_,2
 d+#678,2#9:,7P,2#_,2

X:, +; D%
7P,2#_,2TX-,U#6_,2
Câu V.b ( 1,0 điểm )[
'=678,2#9:,%;[




@ X2 @
X2  @



=


+ =


y
y
x
x
ĐỀ 4
.[dpm; c, 
ĐỀ 3

Câu I ( 3,0 điểm )

@ 
 − −= x xy
 !"#$
%&'(#)*+,#-,../"#$
*01,2"#$3RB*=,X;h,#q,2=
#)  D%678,2#9:,
@ 

 ?− − =x x m
Câu II ( 3,0 điểm )
%'678,2#9:,
X2 X2  



X2 
 
π
π
− +

=
x
x
x
x
*S,#S 6>,[Q

?
 +

x
x x e dx
:2(#9$XL,,K#.2(#9$,J,K# D%BQ
 
   
+ − +
x x x

#9-,
r Is


Câu III ( 1,0 điểm )
#aT=,ct !*% O,c3t3.;\,22!
.L,%; #n,2\ ]#.L c Q  3t Q  Q
 u( $,#>,.#S,*(,5S, D%U# K;,2O
#+6#aT=,3#S,T=,#S  D%U# V;.##S  D%
5 V;!
jl
1. Theo chương trình chuẩn[
Câu IV.a ( 2,0 điểm ) :
9,25\,22%,.L=#W%]4B^3 @c

II

3t?II

3?II?0I?I
%d+#678,2#9:,7P,2#_,2t
 *a,2,9E,2@c3t3305\,2",2
6_,2
 S,##S #aT=,ct0
Câu V.a ( 1,0 điểm ) [ S,2(#9$ D%*;#a
 
     = − + +P i i

 Theo chương trình nâng cao[
Câu IV.b ( 2,0 điểm )[

9,25\,22%,.L=#W%]4B^ GI

I3%7P,2#_,2



  [
  @

∆ = =

x y z
3


  [ @ 

= −


∆ = +


=

x t
y t
z
.U#6_,2[
 ?+ =y z

%:X:, +;.;\,22!  D%GX-,
7P,2#_,2



 *d+#678,2#9:,7P,2#_,2 b# '%7P,2
#_,2
 
  3 ∆ ∆
.,E#9,2U#6_,2
Câu V.b ( 1,0 điểm )[
 :"#$ D% 

  [

− +
=

m
x x m
C y
x
 .L
?≠m
 b##9f ,#O%6>,*=#c3t% 
#;+6#;B+,.L"#$#O%c3t.;\,22! ,%;
ĐỀ 5

Câu I ( 3,0 điểm )



 − += x xy
 !"#$
%&'(#)*+,#-,../"#$
*d+#678,2#9:,#+6#;B+,.L"#$F;%
G
@
A
I



Câu II ( 3,0 điểm )
%     

− +
=
x x
y e
   '  678,2  #9:,
 ?
′′ ′
+ + =y y y
*S,#: 6>,[


?
, 
 , 
π

=
+

x
I dx
x
  :2(#9$XL,,K#.2(#9$,J,K# D%
 
,  @, = + − +y x x x

Câu III ( 1,0 điểm )
G]#:,,!, !Y,35',2 ( #n#> D%(B
+,T>B ;,2ct D%(B*E,2%3
·
?=
o
SAO
3
·
H?=
o
SAB

S,]T7P,2,#q%
jl
Theo chương trình chuẩn[
Câu IV.a ( 2,0 điểm ) :
9,25\,22%,.L=#W%]4B^3 %7P,2
#_,2


 
  [
  
− −
∆ = =
− −
x y z
3


 
  [ ` 
@
= −


∆ = − +


=

x t
y t
z

%a,2,9E,27P,2#_,2

 ∆
.7P,2#_,2


 ∆
 v,%;
 *d+#678,2#9:,U#6_,2 a% 7P,2
#_,2

 ∆
.,2,2.L7P,2#_,2

 ∆

Câu V.a ( 1,0 điểm ) :
'678,2#9:,

i ?+ =x
#9-,#h66a 
Theo chương trình nâng cao :
Câu IV.b ( 2,0 điểm )[
9,2  5\,2  2%,  .L  =  #W%  ]  4B^     
GII?3U#6_,2[
      
  ?
+ + + =
x y z
 .  U#  V;     [
  
 @ H i ?+ + − + − + =x y z x y z

%:X:, +; D%GX-,U#6_,2

*d+#678,2#9:,U#6_,2m,2,2.L

.#+64< .LU# V;
Câu V.b ( 1,0 điểm )[
t;Tw,6a ^Q


xT7LTO,2X7Z,22( 
ĐỀ 6

.[dpm; c, 

Câu I ( 3,0 điểm )





=
x
x
y
 !"#$
%&'(#)*+,#-,../"#$
*:#K# ' ( 2(#9$ D%#%7P,2#_,2
T[BQ4x b#"#$ D%R #O%
6>,*=#
Câu II ( 3,0 điểm )
%'*K#678,2#9:,
X,  , 




X2    ?
π
+
− + ≥e x x

*S,#: 6>,[Q

?
 ,  
 
π
+

x x
dx
:2(#9$XL,,K#.2(#9$,J,K# D%
=
+
x
x
e
y
e e
#9-,O,
rX,  I X, @s

Câu III ( 1,0 điểm )
:,Xg,2#9f#%2( N;ctcytyy !#K# 
(  O,N;*E,2%S,##S  D%:,Xg,2#9f.

T=,#S  D%U# V;,2O#+6:,Xg,2#9f#q%
jl
Theo chương trình chuẩn[
Câu IV.a ( 2,0 điểm )[
9,25\,22%,.L=#W%]4B^3 %7P,2
#_,2

 
  [ 

= −


=


=

x t
d y
z t
.

 
  [
  
− −
= =

x y z

d

%a,2,9E,2%7P,2#_,2 
 
 3 d d
.;\,2
2! ,%;,7,25\,2 b#,%;
 *d+#678,2#9:,7P,2.;\,22!  ;,2 D%
 
 3 d d

Câu V.a ( 1,0 điểm )[
:\;, D%6a 

 @  = + + −z i i

Theo chương trình nâng cao[
Câu IV.b ( 2,0 điểm ) :
9,25\,22%,.L=#W%]4B^3 U#6_,2

α
[
   ?
− + − =
x y z
.
% 7P,2 #_,2  

d
  [ 

@ 
  
− −
= =

x y z
 3  

d
   [
 ` 
  
+ + −
= =

x y z

%a,2#J7P,2#_,2

d
,2,2U#6_,2
α
.

d
 b#U#6_,2
α

*S,5',2 ( 2o%7P,2#_,2


d
.

d

 d+#678,2#9:,7P,2#_,2

,2,2.L
U#6_,2
α
3 b#7P,2#_,2

d
.

d
XV,
X7Z##OG.% GQ
Câu V.b ( 1,0 điểm )[
:,2= D%678,2#9:,

=z z
3#9,2!
z
X
6a X-,Z6 D%6a ^
ĐỀ 7

Câu I ( 3,0 điểm )
Câu I ( 3,0 điểm )


@ 
BQ 4 − + x
 !"#$
%&'(#)*+,#-,../"#$
*d+#678,2#9:,#+6#;B+,.L"#$F;%
G

I?
Câu II ( 3,0 điểm )
%
X2A 3  X2= =a b
S,X2.X2`#q%.*
*S,#: 6>,[Q


?
 , +

x
x e x dx
 :2(#9$XL,,K#.2(#9$,J,+; ! D%



+
=
+
x
y

x

Câu III ( 1,0 điểm )
S,#Y##S  D%:,Xh6678,2.##S  D%
:,#9f,2O#+6:,Xh6678,2!
jl
Theo chương trình chuẩn[
Câu IV.a ( 2,0 điểm )[
9,25\,22%,.L=#W%]4B^3 #%2(
ct.L ( Y,Xc?I
−
I3
t


II3I


I@
%d+#678,2#9:, S,#b  D%7P,2#9;,2#;B+,5z
#nY,c D%#%2( 
*d+#678,2#9:,#% D%7P,2#_,2F;%
..;\,22! .LU#
6_,2ct.LX2 #W%]
Câu V.a ( 1,0 điểm )[
  :,6_,2  2LO,*e ( 7P,2 [

 
=
+

y
x
3%7P,2#_,24Q?34Q.#9f ,
u( $,2(#9$ D%%T=,#S :,6_,2*E,2
X,%
 Theo chương trình nâng cao[
Câu IV.b ( 2,0 điểm )[
9,25\,22%,.L=#W%]4B^3 G
I@I−
.%U#6_,2


P
[
 H ?
− + − =
x y z
3

 [    ?+ − + =P x y z

%a,2#J9E,2%U#6_,2

P
.

P
 b#,%;
d+#678,2#9:,#% D%
2%#;B+,


 D%%U#6E,2!
*:X:, +;.;\,22!  D%G
#9-,2%#;B+,


Câu V.b ( 1,0 điểm )[
:,6_,22LO,*e ( 7P,2[BQ

x
.[BQ
x
S,##S  D%5#9k,4%B#O
#,5F;%B:,F;%,#9f ,
ĐỀ 8

Câu I ( 3,0 điểm )
.[dpm; c, 

 
 @+ −= x xy
 !"#$
%&'(#)*+,#-,../"#$
*W7P,2#_,2 
  [  H= − +
m
d y mx m
 .LX
#%a,2,9E,2
 

m
d
X;\, b#"#$#O
]# $,
Câu II ( 3,0 điểm )
%'*K#678,2#9:,



     


+
+ ≥ −
x
x
x
*

?
  =

f x dx
.L{XXzRB#S,#S 6>,
[Q
?

 



f x dx

:2(#9$XL,,K#.2(#9$,J,K#,+; ! D%


@ 

+
=
x
x
y

Câu III ( 1,0 điểm )
:,Xg,2#9fctcytyy !(BctX#%
2( N; O,*E,2%:, +;.;\,22!  D%cy
4;,2U#6_,2ctX#9;,2 D%ctGU#
*-,ccyy#O.L(B]#2! *E,2
@`
o
S,#
#S  D%5Xg,2#9f,B
jl
1.Theo chương trình chuẩn[
Câu IV.a ( 2,0 điểm )[
 9,25\,22%,.L=#W%]4B^d+#678,2
#9:,U#6_,2F;%3.;\,22! .LU#6_,2
m[
?+ + =x y z
. ( GII



]#5',2
*E,2


Câu V.a ( 1,0 điểm )[6a 



=
+
i
z
i
S,2(
#9$ D%
??
z

2.Theo chương trình nâng cao[
Câu IV.b ( 2,0 điểm )[
9,25\,22%,.L=#W%]4B^3 7P,2
#_,2     T    [ 
 


= +



=


= −

x t
y t
z
 .  U#  6_,2    [
   ?
+ − − =
x y z

%d+#678,2#9:,U# V; !#>,E#9-,T3*(,
5S,*E,2.#+64< 
*d+#678,2#9:,7P,2#_,2

F;%G?II?3
,E#9,2..;\,22! .L
7P,2#_,2T
Câu V.b ( 1,0 điểm )[
 9-,#h66a 3#:t678,2#9:,*h %

?+ + =z Bz i
 !#|,2*:,678,2%,2=*E,2
@− i

ĐỀ 9

Câu I ( 3,0 điểm )



 − += x xy
 !"#$



+

=
x
x
y
 !"#$
%&'(#)*+,#-,../"#$
*a,2,9E,27P,2#_,2T[BQ4

@


X;\,F;%]# $, D%7P,2 ,25
#%B|
Câu II ( 3,0 điểm )
%'678,2#9:,
 

X2  X2   
+
− − =
x x

*S,#S 6>,[Q
?

} 
, 
 , 
π

+

x
dx
x
d+#  678,2  #9:,  #+6  #;B+,  .L  "  #$

 
  [

− +
=

x x
C y
x
3*+#9E,2#+6#;B+,,B,2,2
.L7P,2#_,2T[
` @ @ ?− + =x y

Câu III ( 1,0 điểm )
:, !63ctWGX]##;]  O,

c% GQGcS,#Y##S  D%%
5 !6Gt.Gct
jl
Theo chương trình chuẩn[
Câu IV.a ( 2,0 điểm )[
9,25\,22%,.L=#W%]4B^3 #%2(
ct ! ( Y,c3t3 XV,X7Z# ,E #9-, (  #9f
43B3^. !#9W,2#>II


RB#S,T=,#S 
#%2( ct
Câu V.a ( 1,0 điểm )[
:,6_,22LO,*e ( 7P,2[BQ

x
3T[BQ
H − x
.#9f ,S,T=,#S  D%
:,6_,2
Theo chương trình nâng cao :
Câu IV.b ( 2,0 điểm )[
9,25\,22%,.L=#W%]4B^3 :,Xh6
678,2  ct0cytyy0y    t+#  cy?I?I?  3
ty%I?I?30y?I%I?3c?I?I%.L%M?WG3XV,
X7Z#X#9;,2 (  O,ct.tyy
%d+#678,2#9:,U#6_,2F;%G.,2
,2.L%7P,2#_,2c.
t0y
*S,2! .5',2 ( 2o%%7P,2#_,2c

.t0y
Câu V.b ( 1,0 điểm ) :
: ( =%3*% 6%9%*X[

= + +y x ax b
#+64< .LB6q*X

=y
x
OGI
ĐỀ SỐ 10

Câu I ( 3,0 điểm )[BQ~4

x4~ !
.[dpm; c, @
%&'(#)*+,#-,../"#$
*d+#678,2#9:,#+6#;B+,.L"#$F;%
G
@
A
I



Câu II ( 3,0 điểm )
%     

− +
=

x x
y e
   '  678,2  #9:,
 ?
′′ ′
+ + =y y y
*S,#S 6>,[


?
, 
 , 
π
=
+

x
I dx
x
 :2(#9$XL,,K#.2(#9$,J,K# D%
 
,  @, = + − +y x x x

Câu III ( 1,0 điểm )
G]#:,,!, !Y,35',2 ( #n#> D%(B
+,T>B ;,2ct D%(B*E,2%3
·
?=
o
SAO

3
·
H?=
o
SAB
S,]T7P,2,#q%
jl
1.Theo chương trình chuẩn[
Câu IV.a ( 2,0 điểm )[
9,25\,22%,.L=#W%]4B^3 %7P,2
#_,2

 
  [
  
− −
∆ = =
− −
x y z
3


 
  [ ` 
@
= −


∆ = − +



=

x t
y t
z

 %a,2,9E,2 7P,2#_,2 

 ∆
 .7P,2
#_,2

 ∆
 v,%;
 *d+#678,2#9:,U#6_,2 a% 7P,2
#_,2

 ∆
.,2,2.L7P,2#_,2

 ∆

Câu V.a ( 1,0 điểm )[
'678,2#9:,

i ?+ =x
#9-,#h66a 
2.Theo chương trình nâng cao[
Câu IV.b ( 2,0 điểm ) :

9,2 5\,2 2%,  .L =  #W%]  4B^    
GII?3U#6_,2
    [
  ?
+ + + =
x y z
 .  U#  V;     [
  
 @ H i ?+ + − + − + =x y z x y z

 %:X:, +; D%GX-, U#
6_,2
*d+#678,2#9:,U#6_,2m,2,2.L
.#+64< .LU# V;
Câu V.b ( 1,0 điểm )[
t;Tw,6a ^Q


xT7LTO,2X7Z,22( 
ĐỀ SỐ 11
        

Câu I ( 3,0 điểm )
BQ4

x4

x4x~X#%
"#$X



:O# ) #;#O4Q~
&'(#

a,2.LQ~
d+#678,2#9:,#+6#;B+,.L

*+##+6#;B+,
.;\,22! .L7P,2#_,2 !678,2#9:,

H
= +
x
y

Câu II ( 3,0 điểm )
'*K#678,2#9:,[

?3 ?3
X2 X2 H ?− − ≤x x
S,#S 6>,
@
?
# %,4


π
=

I dx

x
BQ
 


−x x
 !"#$XS,##S 
.h###9k,4%BT:,6_,22LO,*e. (
7P,2#_,2BQ?34Q?34QF;%BF;%,?4
Câu III ( 1,0 điểm )
:,.;\,2ct0 O,%c.;\,22! .LU#
6_,2ct03cQ%
%S,T=,#S U# V;,2O#+6:, !6ct0
*d/  c  .;\,2  2!  a,2  ,  ,g  
3c3t330,E#9-,]#U# V;
jl
1.Theo chương trình chuẩn :
Câu IV.a ( 2,0 điểm )
0•II.U#6_,2
α
F;%*%cI?I3
t?II?3IIi
d+#678,2#9:,#% D%7P,2#_,2c
d+#678,2#9:,#|,2F;(# D%U#6_,2
α

d+#  678,2  #9:,  U#  V;  #>  0  *(,  5S,  jQ
`a,2,U# V;,B b#
α


Câu V.a ( 1,0 điểm )
u( $,#h6Z6 ( *;T,6a €#9-,U#
6_,2#W%]#J%R,N;5=,[
 @+ + =Z Z
2.Theo chương trình nâng cao
Câu IVb/.
c333t33I33I033
%S,##S #aT=,ct0
*d+#678,2#9:,7P,2#_,2.;\,22!  ;,2 D%
ct.t
d+#  678,2 #9:, U# V;   ,2O #+6  #a T=,
ct0
CâuVb/.
%}%

-

678,2#9ƒ

,%;[
 
 
@ 
X2   X2   

− =


+ − − =



x y
x y x y
*}G-

,t2LO,*e"#

 D%
x 1
y
x 1

=
+
.%#9f #W%]ƒ

,T=,#ƒ

 D%-

,t
ƒ

,# #ƒ

5 #9k,4%B,9%5F;%Bt
F;%,#9f 43#9f B
ĐỀ SỐ 12

Câu I ( 3,0 điểm )

.[dpm; c, `
: ! ) O. ) #;
&'(#../"#$5Q
Câu II ( 3,0 điểm )
S,T=,#S :,6_,22LO,*e"#$ ( 
BQq
4
3BQ.7P,2#_,24Q
S,#S 6>,


?
, 
@ 
π
=


x
I dx
x
'*K#678,2#9:,X24

~4•†X2•4
Câu III ( 1,0 điểm )
:,,!, !*(,5S,(BXj3Y,! #O*e
7P,2 %.7P,2,XH?
?

RB#S,T=,#S #+#T=, b#:,,!,#q%

7P,2,.;\,22! ,%;
S,T=,#S 4;,2F;%, D%U#,!,.##S 
D%5,!,
jl
1.Theo chương trình chuẩn :
Câu IV.a ( 2,0 điểm ) :
9,25\,22%,.L=#W%]4B^ *%
[cI?I•ItIII?II?WX#9W,2#> D%
#%2( ct
d+#678,2#9:,7P,2#_,2
d+# 678,2 #9:,U# V;  F;%*,
3c3t3
d+#  678,2 #9:,  (  U# 6_,2.;\,2 2!  .L
7P,2#_,2.#+64< .LU# V;
Câu V.a ( 1,0 điểm )
:%6a *+##|,2 D% <,2*E,2.#S  D%
<,2*E,2
2.Theo chương trình nâng cao
Câu IVb/.
9,25\,22%,.L= #9f #W% ] 4B^ *,
  c3  t3  3  0  .L  cII3  t•II•3
H I H 
−−−−> −> −> −> −−−−> −> −> −>
= + − = − + +OC i j k OD i j k

a,2,9E,2ct0X:,#a T=,. 

 (
U6 O,*E,2,%;
ƒ


,5',2 ( 2o%%7P,2#_,2ct.0
d-

#678,2#9:,U# V;,2O#-

6:,#aT=,
ct0
Câu Vb/.
[
@

= +
+
y x
x

&'(#
d+#678,2#9:,#+6#;B+, D%"#$*+#
#+6#;B+,.;\,22! .L7P,2#_,2

??i

= +y x
§Ò sè 13
I. PHẦN CHUNG
Câu I

 
 = − + +y x x

 !"#$
BQ•4

x4


~32W"#$X

&'(#)*+,#-,../"#$ D%
d+#678,2#9:,#+6#;B+,.L"#$#O
!,]X,2=
D%678,2#9:,B
}}
Q?
Câu II ( 3,0 điểm )
:2(#9$XL,,K#.,J,K# D%
%
@
  

= − + −
+
f x x
x
 #9-, 
[ ]
I−
     *{4Q,4x
,4#9-,


?I

π
 
 
 
S,#S 6>,
( )

?
, 
π
= +

I x x xdx
Giaûi phöông trình :
@ i  `
 @  ?
+ +
− + =
x x
Câu III ( 1,0 điểm )
G]#:,#9f !T=,#S 4;,2F;%,X3T=,#S (B
*E,2T=,#S ]#U# V;*(,5S,*E,2%RB#S,
%#S  D%5#9f
*0=,#S #+#T=,F;%#9f :,#9f
jl
1.Theo chương trình chuẩn[
Câu IV.a ( 2,0 điểm )[
Trong 5\,22%,.L=#W%]4B^ U# V;[

4

xB

x^

~4xBx@^~Q?.%7P,2#_,2
( ) ( )
 
  ?

[ I [
 ?
  
+ − =


∆ ∆ = =

− =
− −

x y
x y z
x z
a,2,
( )


.

( )


 v,%;
d+#678,2#9:,#+6T=, D%U# V;*+##+6
T=,!,2,2.L%7P,2#_,2
( )


.
( )


Câu V.a ( 1,0 điểm ).
:##S  D%.h###9k,4%B#;7Z 5F;%B
:,6_,22LO,*e ( 7P,2BQ4


.BQ4

4;,2
F;%,#9f 4
2.Theo chương trình nâng cao
Câu IVb/.
9,25\,22%,.L= #9f #W% ] 4B^ U#
6_,2
  [  ?+ + − =P x y z
.%

7P,2#_,2T



 678,2  #9:,  X%

 2%  #;B-

,  ;

%  %  g

#  6g

,2[
 ?+ − =x z
.%

B•^Q?
d-

#678,2#9:,U#6_,2m a%GI?I•.
F;%T
d-

#678,2#9:, ƒ

,#b 7P,2#_,2TyX:,
-

;.;\,22


 D%TX-,U#6_,2
Câu Vb/.
ƒ

6>

,#7

.%

6>

,%

 ;

%\

67

%;[
x

••


§Ò sè1 4
I. PHẦN CHUNG
.[dpm; c, H

×