Tải bản đầy đủ (.doc) (87 trang)

Bài soạn 122 Đề thi Thử TN 2011

Bạn đang xem bản rút gọn của tài liệu. Xem và tải ngay bản đầy đủ của tài liệu tại đây (597 KB, 87 trang )


122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
ĐỀ 1
I.PHẦN CHUNG CHO TẤT CẢ THÍ SINH.(
Câu I
 

+




 !"!##$%&
' ()*!+,-! (. !%&/+&%&#0,1.!+
Câu II.
2()*!+,-!34+

5664+

56
78!9


:
 
π

 

;<!+ !#!+ !%&=5


65=
Câu III-!(>?@?@4&+#.A!+B!/@C

=
C>?
 ⊥ 
C++D&/!"!>@#E!+F:
:
78!8%&G(
II. PHẦN RIÊNG
1.Theo chương trình chuẩn.
Câu IVa7,!+GA!++&!#0HI&JK5LCMNN:#
O(P!+Q356RL6:
' ()*!+,-!OS.BM# (5T#0(Q
' ()*!+,-!)U!+P!+VW.&M##.A!++#0Q7-I&J
+&
Câu Va.78!V"!8-!(P!++0/!X)U!+#
5

R5
2. Theo chương trình nâng cao.
Câu IVb7,!+GA!++&!#0HI&JK5LCM=NN#
)U!+P!+V3
 
  
− +
= =

  


' ()*!+,-!OS.BM# (5T#0V
' ()*!+,-!O(P!+W.&M##.A!++#0V7-I&J+&

Câu Vb.  78!  VH! 8  -!  (P!+  +0  /!  X    )U!+     


Y

#




− + 
ĐỀ 2
I.PHẦN CHUNG CHO TÁT CẢ THÍ SINH
Câu I5

R5

6
 !"!##$%&
@H!4.Z![!+H%&()*!+,-!35

R5

R:
Câu II.
2()*!+,-!3
5

6
56
6
56
\
78!9

:
  +


  
])*!+@^._7`Q7!aB


122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
7-+,40!!#+,!b!c%&5
Y
R5

6,"!I&!
d=Ne
Câu III.78!8GfVH!g.>?@c/!g.E!+&
II. PHẦN RIÊNG
1.Theo chương trình chuẩn.
Câu IV a.7,!+GA!++&!#0HI&JK5LC?=NN:C
@=N:NCNNC]:NN=
' ()*!+,-!O(P!+?@#()*!+,-!)U!+P!+?]
78!VH!8&+?@#8fVH!?@]
Câu V a78!8G,h!5&V-!(P!++0/!X)U!+

&!5C:C5:C5
Y
π
W.&W.&!,1K5
2. Theo chương trình nâng cao
Câu IV b7,!+GA!++&!#0HI&JK5LC?=N:NC
@:N:NCN:N=C]\NN=
' ()*!+,-!O(P!+QW.&&?C@C## ()*!+,-!
)U!+P!+W.&]!+!+#0?@
78!8%&GfVH!?@]C.,&JV)U!+&%&fVH!#$i
j!]
Câu Vb78!8G,h!5&V-!(P!++0/!X)U!+





 
C:C5:C5W.&W.&!,1K5
ĐỀ 3
I.PHẦN CHUNG CHO ẤT CẢ THÍ SINH. (
Câu I.=5

65=
  !"!##$%&
' ()*!+,-! (. !%&/.%&
Câu II.(
2()*!+,-!3

F4+  4+ = +



78!9


:
 Y 
π

 
7-+,40!!c#+,!b!c%&
4! 

,"!/!dN
[

e
Câu III-!(&+g.>?@/!E!+&C/!
"!g./#0J+F:
:
78!8%&G(
II. PHẦN RIÊNG.
1.Theo chương trình chuẩn.
Câu IV a.(7,!+GA!++&!#0HI&JK5LCO(P!+
Q356RLRF:#MC=N
' ()*!+,-!O(P!+^W.&M#!+!+#0(Q78!
Gb&!+iM !(Q
7-I&J! .%&M4"!(Q
])*!+@^._7`Q7!aB



122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
Câu Va.2()*!+,-!35

R56\:,!+Z((f
2. Theo chương trình nâng cao.
Câu IV b7,!+GA!++&!#0HI&JK5LC&O(P!+
Q35R6LR\:C^3Y56\RL6:
78!++D&&O(P!+## ()*!+-!&%&+&. !%&
&O(P!+Q#^
' ()*!+,-!O(P!+kW.&+I&JK#.A!++#0Q#
^
Câu Vb.((fL565C
∈ 
7-(S!#(S!%&
(fL

RL6Y
ĐỀ 4
I.PHẦN CHUNG CHO TẤT CẢ THÍ SINH.
Câu I.

+



 !"!##$%&
' ()*!+,-! (. !%&/h&!J5=
Câu II
2()*!+,-!3

 
  :
+ −
+ =
 

78!9
&!
Y

:

π





7-+,40!!c#+,!b!c%&

− 

Câu III-!(f+g.>?@]/!E!+&C/!"!
l(#0J+F:
:

78!8G(>?@]
7-B#8!!G8!OS.!+I& (-!(
II. PHẦN RIÊNG.
1. Theo chương trình chuẩn

Câu IV a.7,!+GA!++&!#0HI&JK5LC]=NN#
O(P!+QW.&&?N:NC@:NN:CNNm
' ()*!+,-!)U!+P!+?@#()*!+,-!O(P!+Q
' ()*!+,-!OS.B]C!G8!k\f!+!,E!+OS.
!nO(P!+Q
Câu Va.78!VH!8-!(P!++0/!X)U!+4!5C:C5



C5[
2.Theo chương trình nâng cao
Câu IV b7,!+GA!++&!#0HI&JK5LCO(P!+Q356
6L6\:#OS.>35

6

6L

R5RY6YL:
7-B#!G8!%&OS.>
' ()*!+,-!O(P!+^!+!+#0Q# (5T#0>7-
I&J%& (
Câu Vb7-)U!+P!+V356n3



+




/&
(B!H
])*!+@^._7`Q7!aB


122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
ĐỀ 5
I.PHẦN CHUNG CHO TẤT CẢ THÍ SINH
Câu I.=5
Y
65

6
 !"!##$%&
]&#C-+,%&()*!+,-!5
Y
R5

6:
!!+H(B!H
Câu II.
2c()*!+,-!3
 Y
4+ 4+   − − = 
78!9
Y
:
! 
 
π

+







\
4+  +
78!o
Câu III.-!(>?@?@4&+#.A!+/@C/!
"!>?

?@C ?@&C@

C>?&
78!8G(>?@[&
2I94,.!+%&/!>C8!JV%&/!@9[&
II. PHẦN RIÊNG.
1.Theo chương trình chuẩn.
Câu IV a7,!+GA!++&!#0HI&JK5LC&?NYN:C
@:NNCN:N=Y
7-I&J]?@]4-!-!!#-I&JB%&-!
-!!
' ()*!+,-!)U!+P!+VW.&,I!+B%&&+?@#
#.A!++#0(?@
Câu V a.78!8%&G,h!5&/!GW.&W.&!,1
.!+-!(P!++0/!X)U!+4!5C,1.!+#&)U!+P!+:C


2. Theo chương trình nâng cao
Câu IV b7,!+GA!++&!#0HI&JK5LC&)U!+P!+V3
  
  
− − −
= =
− −
  
CVo3
 \
 
=


= − −


= − −

 
 
 
f!+!V#Vo<!&.
' ()*!+,-!O(P!+Qf&V#!+!+#0Vo78!Gb&!+
+D&V#Vo
Câu V b.78!8G,h!5&/!GW.&W.&!,1h&!
-!(P!++0/!X)U!+4!5C:C5
ĐỀ 6
I.PHẦN CHUNG CHO TẤT CẢ THÍ SINH
Câu I55R



])*!+@^._7`Q7!aB
Y

122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
 !"!##$%&
' ()*!+,-!)U!+P!+W.&&,%&
Câu II
2c()*!+,-!3
 
 
4+ \ 4++ ≤ 

78!9


:
!  
π

 

7-+,40!!c#+,!b!c%&5

[
5
,"!!p&G!+
=


N:e
Câu III-!(>?@?@4&+#.A!+/?@ 
?@&C@&C>&#/!"!>?#.A!++#078!8G(
>?@[&
II. PHẦN RIÊNG.
1.Theo chương trình chuẩn.
Câu IV a.7,!+GA!++&!K5LC!?N=NC@N:N:C
:NN:C]:N:N
' ()*!+,-!O(P!+@]>.,&?@]4JfVH!
7-?o&(@]4O(P!+,.!+,%&I&!??o
Câu V a.78!8G,h!5&/!GW.&W.&!,1h&!
-!(P!++0/!X)U!+!55C:C5:C5

π

2. Theo chương trình nâng cao.
Câu IV b7,!+GA!++&!#0HI&JK5LC)U!+P!+V3
 
  
− +
= =
  
#&O(P!+Q

356RL6\:CQ

35R6L6:
78!++D&(Q

#(Q


C++D&)U!+P!+V#(Q


' ()*!+,-!OS.B9.JV# (5T#0(Q

#(Q


Câu Vb.78!8G,h!5&/!GW.&W.&!,1.!+
-!(P!++0/!X)U!+5

#F=q5q
ĐỀ 7
I.PHẦN CHUNG CHO TẤT CẢ THÍ SINH.(
Câu I.
−


4
 !"!##$%&
7-)U!+P!+V3=56n/&(B!H
Câu II
2()*!+,-!3Y
5
6:
5
\
5


78!9
r

Y
 −


 
7-+,40!!c#+,!b!c%&
4! 
,"!
I&!dN[e
Câu III-!(>?@]?@]4-!#.A!+/!&C/!
"!>?&

##.A!++#0
78!8G(>?@]
])*!+@^._7`Q7!aB
\

122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
f!+!,.!+9%&/!>4B%&OS.!+I& (-!
(>?@]
II. PHẦN RIÊNG
1. Theo chương trình chuẩn.
Câu IV a7,!+GA!++&!#0HI&JK5LC&?NNC
@N=N\
' ()*!+,-!OS.>)U!+G8!?@
7-M,"!)U!+P!+?@&&+MK?#.A!+/K
Câu V a. 2()*!+,-!&.,"!Z((f3L

Y
R:
2. Theo chương trình nâng cao
Câu IV b.7,!+GA!++&!#0HI&JK5LCOS.>35

6

6
L

R5RYRFL:#&MNNCsN=N\
7-B9#!G8!k%&OS.>' ()*!+,-!O(P!+Q
W.&-! .%&B9,"!,1I&J
 f!+b)U!+P!+MsnOS.>/&7-I&J+&

Câu V b@.Vt!(fLR

V)0V/!+4)l!++
ĐỀ 8

I.PHẦN CHUNG CHO TẤT CẢ THÍ SINH.
Câu I
Y 
 \

 
− + 
4
 !"!##$%&
' ()*!+,-! (. !%&/MN:

Câu II.
2c()*!+,-!3

 
 Y
Y 

 

 ÷
 
 
78!9


:

 !
π
+





7-+,40!!c#+,!b!c%&!5R5,"!I&!
N
F 
π π


 
 
 

Câu III-!(>?@]?@]4-!#.A!+C/!"!

=
##.A!++#0C++D&>#4Y\
:
78!8%&G
(
II. PHẦN RIÊNG
1.Theo chương trình chuẩn.
Câu IV a7,!+GA!++&!#0HI&JK5LC&?N:N=C
@N=NY
' ()*!+,-!)U!+P!+?@#()*!+,-!O(P!+,.!+,%&
I&!?@
' ()*!+,-!OS.B?#W.&@7-5f!+%&@
W.&?
Câu V a78!8%&G,h!5&)l/!GW.&W.&!
,1.!+-!(P!++0/!X)U!+R5

#q5q
2. Theo chương trình nâng cao.
])*!+@^._7`Q7!aB
F

122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
Câu IV b.7,!+GA!++&!#0HI&JK5LC&)U!+P!+V3
  

  Y
− + −
= =
  
#Vo3
 
 
Y Y
= − +


= +


= +

 
 
 

f!+!V!+!+#0Vo78!Gb&!++D&V#Vo
' ()*!+,-!O(P!+Qf&V#Vo
Câu V b

 F

+ +
+
 


' ()*!+,-!)U!+P!+
VW.&?N:#H+4G'0+,!%&G-)U!+P!+V
 (5T#0%&
ĐỀ 9

I.PHẦN CUNG CHO TẤT CẢ THÍ SINH
Câu I.(=5

65

R
 !"!##$%&
' ()*!+,-! (. !#0  (. !H+G=r
Câu II.(
2()*!+,-!3

 
4+  4+   F
+
+ + =
 

78!9

:
! 

 
π
+





7-+,!b!c%&5R4!56
Câu III.-!(>?@>?C?@C@#.A!++#0!&.i!+
AJ@ >?&C?@@&

78!8%&G(#-B%&O
S.!+I& (-!(
II. PHẦN RIÊNG.
1. Theo chương trình chuẩn.
Câu IV a7,!+GA!++&!#0HI&JK5LC?N=NCO
(P!+Q35==L6:#)U!+P!+V3
 
  
− −
= =

  

7-I&J?o5f!+%&?W.&(Q
7-I&J%&M,"!)U!+P!+V&Gb&!+iM !
(QE!+
Câu V a2()*!+,-!&.,"!Z((f3L
Y
RL

RF:
2. Theo chương trình nâng cao.

Câu IV b7,!+GA!++&!#0HI&JK5LC?NNC
(Q356RLR:#)U!+P!+V3
 
  
− −
= =

  

7-?o5f!+%&?W.&V
' ()*!+,-!)U!+P!+W.&?C!+!+#0(Q#nV
Câu Vb.2H()*!+,-!3

 Y

 Y
\4+ 4+ m
\4+ 4+ r

− =


− =


 
 
ĐỀ 10

])*!+@^._7`Q7!aB



122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
I.PHẦN CHUNG CHO TẤT CẢ THÍ SINH
Câu I5R

56


 !"!##$%&
7-)U!+P!+V3n/&(B!H
Câu II
2()*!+,-!34+5RR4+5

RY56
78!9


 4! 

+






5

R6564&7-

,/5
Câu III-!4u!+,1?@?o@oo4&+g./!&C/!
"!E!+&

#-! .%&?o4"!(?@,v!+#0,.!+%&@78!
8%&G4u!+,1
II. PHẦN CHUNG.
1. Theo chương trình chuẩn.
Câu IV a7,!+GA!++&!#0HI&JK5LC&?C@I&
J5!XHf
 C Y Y
→ → → →
= − = − −
uuur uuur
     
#O(P!+Q35R6FL6
:
7-+&M%&)U!+P!+?@#0(Q
' ()*!+,-!-! .#.A!++%&?@,"!(Q
Câu V a78!8G,h!5&&!GW.&W.&!,1K5-!
(P!++0/!X)U!+



+


C:C5=#5
2/ Theo chương trình nâng cao.
Câu IVb7,!+GA!++&!#0HI&JK5LC)U!+P!+V3

 

= +


=


=

 
 
 
#O(P!+Q356RL6:
' ()*!+,-!)U!+P!+W.&+I&JK#.A!++#0V#!+
!+#0Q
' ()*!+,-!+OS.B.JVC (5TQ#!G8!E!+Y
Câu Vb78!
( )
m
 + 
ĐỀ 11
9_QS!V!c8!
B.9 
( )



+
=





4
 
 ' ()*!+,-! (. !%&  (. !W.&QN
B.99
 2c()*!+,-!3
r Y  + + >
 
 78!8(B!3

\ 
:
= −

   
 7-+,40!!c#+,!b!c%&

+ +
=
 


#0
:>
])*!+@^._7`Q7!aB
m


122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
B.999;!B#!G8!OS.!+/ (J-!4u!+,1&
+g.r/!g.E!+&
99_QS!,"!+
 7[)*!+,-!.w!
B.9'&7,!+GA!++&!HI&JK5LC?N=N#&
)U!+  P!+  V

  #  V

  [  f      ()*!+  ,-!3
( ) ( )
 
  :
3   N 3
  :

=

− − + =


= − −
 
− + =


= −

 

  
   
 
 
f!+!,E!+V

CV

#?v!+.JJO(P!+
B.'&7-A.!%&(f
( )

 = + − −  
 7[)*!+!B!+&
B.9'7,!+GA!++&!HI&JK5LCO(P!+
( ) ( )
x
α β

4S!
4)l()*!+,-!43
( ) ( )
3    :N 3 \ :
α β
− + + = + − + =     
#MN:N\
 78!G!+iM !
( )
α
 ' ()*!+,-!O(P!+W.&+&. !V%&

( ) ( )
x
α β

!+U
#.A!++#0O(P!+Q3
  :− + = 
B.'' V/!+4)l!++%&(f
 = + 
ĐỀ 12
I. Phần chung cho tất cả thí sinh C:
B.9
 
 
 
= − − + +    

( )


 !"!##$%&G:
7-!%&
( )



B.99
7-+,40!!c#!b!c%&
Y 
m F= − +  

,"!
/!d=Ne
78!8(B!




:

=
+


 

2c()*!+,-!
:C\
 

\
4+
+

+


B.999
fVH!>?@>?#.A!++#0O(P!+?@C>?&N?@?
C
·

F:
°
= ;!B#!-!S.!+/ (fVH!>?@
II.Phần riêng(
 !"##$%!&'(!!)*(#+$,#-)./!)!'0!&#*#$%!&'(!1
1. Theo chương trình Chuẩn:
B.9'&27,!+GA!++&!#0H/JK5L3
])*!+@^._7`Q7!aB
r

122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
&aZ(  ()*!+  ,-!  O  S.    B  9=NN  #   (  5T  #0  O  (P!+
  \ :
+ − + =
  
78!G!++D&&O(P!+3
:Ym:Y
=−−−=+−−
)

B.'&2()*!+,-!3
Y 
 Y  :+ − = 
,"!Z((f
2.Theo chương trình nâng cao.
B.9'2
 7,!+GA!++&!#0H/JK5LC)U!+P!+V()*!+,-!3
 
  
− +

= =
  
#&O(P!+
:\3
=+−+

α
#
:3
=++−

β
aZ(()*!+
,-!OS.B9.J)U!+P!+V# (5T#0&O(P!+
( ) ( )
C
α β

B.'378!VH!8-!(P!++0/!X
C  C := = − =    
ĐỀ 13
I. Phần chung cho tất cả thí sinh C:
B.9
 !"!##$%&


+
=





7-,"!M&G!+iM !)U!+HZ!f!+
E!+G!+iM !HZ!!+&!+
B.99
2()*!+,-!
 
 \  Y\
− −
=
  
78!8(B!&

 4!+
=



 

B.999
MJ-!,1 VH!W.&,14-!#.A!+CVH!85.!+W.&!4
Y
π

78!VH!8!(S!%&-!,1
78!8%&G,1
II.Phần riêng(
 !"##$%!&'(!!)*(#+$,#-)./!)!'0!&#*#$%!&'(!1
1. Theo chương trình Chuẩn:

B.9'&27,!+GA!++&!#0H/JK5L3?N:N:C@NNC
  
N N
  
 
 ÷
 

&' ()*!+,-!y!+W.%&O(P!+
( )
α
W.&K##.A!++#0K
' ()*!+,-!O(P!+
( )
β
f&?@##.A!++#0
( )
α
B.
'& 
7-!+H(f%&()*!+,-!
  Y+ = −  
ĐỀ 14
I. PHẦN CHUNG CHO TẤT CẢ CÁC THÍ SINH
Câu 1YC:3
 ##$%&
 
= −  
 ]&#H!4.Z![!+H%&()*!+,-!
])*!+@^._7`Q7!aB

:

122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
 
 :− + =  
 78!VH!8-!(P!++0/!X#,1!
Câu 2C:
 2()*!+,-!3

 \ F :− + =
 
 2()*!+,-!3

Y  :− + = 
Câu 3C:
-!(>?@]?@]4-!#.A!+/!&C/!"!>@#.A!+
+#0C/!"!>E!+


 78!8%&G(>?@]
 f!+!,.!+%&/!>]4BOS.!+/ (-!(
>?@]
II. PHẦN DÀNH CHO TỪNG THÍ SINH
A. Dành cho thí sinh Ban cơ bản:
Câu 4C:
78!8(B!3

:
 = +



   
7,!+GA!++&!#0HI&JK5L&  ?\N:NYC @\NNC
NFNC]YN:NF
&' ()*!+,-!&%&)U!+P!+?@
' ()*!+,-!O(P!+
 
α
W.&]#!+!+#0O(P!+?@
B. Dành cho thí sinh Ban nâng cao
Câu 5C:
 78!8(B!3


 

= +

   
 7,!+GA!++&!#0HI&JK5LCMNN#O(P!+Q
()*!+,-!35=6L6:
& ' ()*!+,-!O(P!+^W.&M#!+!+#0O
(P!+Q
 ' ()*!+,-!&%&)U!+P!+VW.&M##.A!++
#0O(P!+Q7-I&J+&`%&)U!+P!+V#0O(P!+
Q
ĐỀ 15
9Q`zs`{s2`K7|7}7`~>9s`
Câu 1  


Y

5 \
=5 6 
 

##$
' ()*!+,-! (. !/!J5
B.
78!8(B!
( )
+

1
3
2
0
I = 2x xdx
 7-+,40!!c#+,!b!c%&

 
 Y  − + − +  
,"!
d N e−

])*!+@^._7`Q7!aB


122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
2()*!+,-!3

F Y F :− + =
 
B.
G(>?@)U!+&>?&C&•:#4&+g.2+D&
O"!>@#OVE!+F:
:
78!8%&%&G(>?@[&
99Q`zsk9€s2
1. Theo chương trình Chuẩn:
B.Y&
7,!+GA!++&!#0H/JK5L?N:N:C@:NYN:#:N:NY
' ()*!+,-!OS.W.&Y•KC?C@C;!/JB9#8!
!G8!k%&OS.
' ()*!+,-!O(P!+?@#)U!+P!+VW.&9#.A!++#0
?@
B.Y7-(fL‚!
\=
#(S!E!+4S!(S!%&
!
Theo chương trình nâng cao:
B.Y& 7,!+GA!++&!#0H/JK5LC)U!+P!+
()*!+,-!



3 

= +



∆ = − −


=

 
 



 
3
  
− −
∆ = =

  
' ()*!+,-!O(P!+W.&)U!+P!+∆

#!+!+#0)U!+P!+∆


;!?,"!∆

#@,"!∆

&?@!+n!!c
B.Y2()*!+,-!,"!Z((f3L

6L6:

ĐỀ 16

9Q`zs`{s2`K7|7}7`~>9s`
B.

Y 
5 665 6

##$G
7-,
B.
78!8(B!
( )
+

1
3
2
0
I = 4x .xdx
 7-+,40!!c#+,!b!c%&

 
 Y  − + +  
,"!
d Ne−

2()*!+,-!3
 
   F:

+ +
+ + =
  
B.
G(>?@4&+g./!&C&•:7&+>?B!/
>+>?E!+F:
:
C>?⊥?@78!8%&%&G(>?@[
&
99Q`zsk9€s2
2. Theo chương trình Chuẩn:
B.Y&
7,!+GA!++&!#0H/JK5L?NYN=C@NYN=CNYN#
])*!+@^._7`Q7!aB


122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
]NN=
Mk?@⊥?C?⊥?]C?]⊥?@78!8%&fVH!?@]
' ()*!+,-!OS.W.&Y•?C@CC];!/JB9#8!
!G8!k%&OS.
B.Y
78!7
\ F
 Y

+


,"!Z((f

Theo chương trình nâng cao:
B.Y&
7,!+GA!++&!#0H/JK5L?YNNC@N:N:C:NN:#
]:N:N
' ()*!+,-!)U!+P!+W.&?#24,I!+B%&&+@]
' ()*!+,-!OS.B?# (5T@]
B.Y
(f
 
 
= − + 
C8!L

6L6
ĐỀ 17

I . PHẦN CHUNG CHO TẤT CẢ THÍ SINH (7 điểm
Câu I.(3 điểm) 

 = − + −  
 !"!##$‚
@H!4.Z![

!+H%&()*!+,-!

 
− + − =
  
Câu II.(3 điểm)
2()*!+,-!3


 F
  m: :

− − =
 
78!!+."!3
4! −

 
7-+,40!!c#!b!c
 
   r = + − +4    
,"!/!
[ ]
N−
Câu 3.(1 điểm)
fVH!>?@&/!>?C>@C>AJ#.A!++#>?&C>@C
>`&MCs4S!4)l.J/!?@C@&
 
C
 
= =5  6 
MO
(P!+>Ms&GfVH!>?@!G&VH!`#`o,!+`
4G&VH!f&j!`‚8!8%&`#`o
II . PHẦN RIÊNG (3 điểm) : 
1. Theo chương trình chuẩn3
Câu IV.a(2 điểm) 7,!+GA!++&!#0HI&JK5LC?NYN#O
(P!+Q()*!+,-!3566LR:

 `‚-I&J%&-! .#.A!++%&?,"!O(P!+Q
 ' ()*!+,-!%&OS.B?C (5T#0Q
])*!+@^._7`Q7!aB


122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
Câu V.a(1 điểm) 78!8G,h!5&)l/X(<(W.&W.&!,1K5
-!(P!++0/!X)U!+

 C :C C := − + − = = =     

2.Theo chương trình nâng cao :
Câu IV.b(2 điểm)
O(P!+Q356=L=:#)U!+P!+V3
 
  
+ +
= =

  
7-I&J+&M%&)U!+P!+V#O(P!+Q
' ()*!+,-!-! .%&)U!+P!+V,"!O(P!+Q
Câu Vb. (1 điểm)
 ;!I&J+&%&HZ!5"!%& 

 

− +
=


 


 #0
(&,&4Q3

 = − +  
ĐỀ 18

Câu I:3
1/ !"!##$%&


+



2/' ()*!+,-! (. !#0/+&%&#0,1.!+
Câu II3
78!9
( )

:
!

+


  
2c()*!+,-!4+


( )
+

4+
r
( )
+
78!/!%&-!D!Z.#!b!c,!+c!D!Z
VH!8Ym

Câu III3
7,!+GA!++&!K5L?NNN@NN=YN#N=N=
' ()*!+,-!O(P!+?@
' ()*!+,-!OS.!+/ (fVH!K?@7B%&OS.
,v!+#0,I!+B%&fVH!GA!+ƒ
Câu IV3
-!(f+g.>?@]/!E!+&N+>?@E!+:
:
78!VH!85.!+W.&!%&-!!!j!>C4-!,h!!+/ (f+
?@]
Câu V:78!
 \
 

+


ĐỀ 19


9Q`zs`{s2`K7|7}7`~>9s`
B.9C:

 
 = − + − 

 !"!##$
 ]v!+C5!G()*!+,-!
 
 :− + = 
T!+!+H
(B!H
B.99C:
])*!+@^._7`Q7!aB
Y

122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
 2()*!+,-!3
Yr  F :  + − = ∈ ¡
  

 78!8(B!3



:

=
+



 


 7-+,40!!cC+,!b!c%&3

Y Y = + − 
B.999C:
-!(4&+#.A!+/C
C C= =   
O"!
4&+g.##.A!++#0O(P!+78![&8%&G
(
99Q`zsk9€s2
 7[)*!+,-!.w!3
B.9'&C:3
7,!+GA!++&!#0HI&JC)U!+P!+V3
 
  
+ +
= =

  
#O
(P!+Q3
  F :
+ − + =
  

' ()*!+,-!OS.B

N N −
# (5T#0O(P!+Q
' ()*!+,-!O(P!+
 
α
f&)U!+P!+V##.A!++#0O
(P!+Q
B.'&C:3
78!A.!%&(f

  

+
=





 7[)*!+,-!!B!+&3
B.9'C:37,!+GA!++&!#0HI&JC)U!+P!+V3
 
  
+ +
= =

  
#O(P!+Q3
  F :+ − + =  


' ()*!+,-!OS.B
N N −
# (5T#0O(P!+Q
' ()*!+,-!-! .#.A!++%&)U!+P!+V,"!O(P!+
Q
B.'C:37-u!Z&%&(f
Y
= −
 
ĐỀ 20

B.3

 = − +  

&##$
]&#H!4.Z![!+H()*!+,-!3

  :
− + − =
  
78!VH!8-!(P!++0/!X#,1K5
B.3
&78!/%&&.3
Y 
=5
+
=

  #

N\
56!5
7-27asC27ss%&
Y 

  
Y
= − +4   
,"!/!d=N:e
78!+,.f?
r 
 4+ Y  4+ 
  3 Y 
+ −
V2()*!+,-!Cc()*!+,-!&.3
 Y F
4+ 4+ 4+ + + =  

[8!8(B!&.39



+

  
N„





 

π
π
π
 

 ÷
 

 

B.378!VH!85.!+W.&!#8G(f+g.JV/!"!
+c(A/!#E!+&ƒ
B.Y?:NN#@=NN
])*!+@^._7`Q7!aB
\

122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
&' ()*!+,-!OS.B?#W.&@
' ()*!+,-!&%&)U!+P!+VW.&@#!+!+#0K?
' ()*!+,-!O(P!+K?@
B.\&2()*!+,-!&.,!+Z(Z((f35

R56:
7-.!%&(f…R
ĐỀ 21
B.3&##$3

 


+



' ()*!+,-! (. !%&/!JE!+=
78!VH!8-!(P!++0/!XNH/!!+&!+N5:N5
B. 3&7-27asR27ss%&5RF

Y+
,"!/!d:Ne
7-3



=65

6Y56\!+ !,"!k
78!/&.3
&
( )

= −

  
5R4!

5
( )


4! +
=



V8!8(B!39
( )



4!+


  
N„


:
+ −


 
[2()*!+,-!3
&
 
4+  =64+  = 

Y  Y :
− − =
 

B.37 VH!%&-!!!nXO(P!+W.&,1%&!4J&+
g./!&
78!VH!85.!+W.&!N!(S!#8G!![&ƒ
B.Y37,!+GA!++&!K5L
&
Y = +
r r r
  
C
r
7
=NN78!


= −
r r r
#  7
?NNC@:NN:C:N:N
678!
uuur


uuur


6f!+!?C@CGA!+P!+!+' ()*!+,-!O(P!+
?@
6' ()*!+,-!OS.B9=NN=# (5T?@
B.\3&2()*!+,-!3=56Y6\6
7-5N 35=6656R=\

ĐỀ 22
Câu1: Cho hàm s y = xố
3
- 3x
2
+ 2 (C)
a).Kh o sát s bi n thiên và v đ th hàm s .ả ự ế ẽ ồ ị ố
b).Tìm giá tr c a m đ ph ng trình : -xị ủ ể ươ
3
+ 3x
2
+ m = 0 có 3
nghi m phân bi t.ệ ệ
c) .Tính di n tích hình ph ng gi i h n b i (C); Ox ; Oy ; x=2. ệ ẳ ớ ạ ở
Câu 2: a)Tìm giá tr l n nh t, giá tr nh nh t c a hàm s : y = x+ị ớ ấ ị ỏ ấ ủ ố

− 
b)†!35

65

65&,
‡5
4! +


78!‡
o
4!
V2()*!+,-!C@c()*!+,-!3r

5
=Y
5
6ˆ:
])*!+@^._7`Q7!aB
F

122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
[


:
 ! 
π
= +

8   
Câu 3 : Cho hình chóp t giác S.ABCD có đáy là hình vuông c nh a ,ứ ạ
c nh bên SA vuông góc v i đáy, c nh bên SC t o v i đáy m t gócạ ớ ạ ạ ớ ộ
30
o
.
a) Tính di n tích xung quanh và th tích kh i chóp.ệ ể ố
b) Tìm tâm và bán kính m t c u ngo i ti p hình chóp.ặ ầ ạ ế
B.Y3 7,!+GA!++&!&)U!+P!+V

#V

()*!+,-!3V



 
 
 
= +


= + ∈


= −

 
   
 




   

= +


= + ∈


= +

 

   
 
&f!+bV

#V

n!&.
' ()*!+,-!O(P!+(f&V

#V


c. Vi t ph ng trình m t c u đ ng kính OH v i H là giaoế ươ ặ ầ ườ ớ
đi m c a hai đ ng th ng trênể ủ ườ ẳ
Câu 5 : a. Tìm ngh ch đ o c a z = 1+2iị ả ủ
b. Gi i ph ng trình : (3+2i)z = z -1ả ươ
ĐỀ 23
?QS!.!+8!&&!
B.33
 
 Y= + −  
'04&
 ##$%&
 @H!4.Z![!+H%&()*!+,-!3
 
   :+ + + =  
B.32H()*!+,-!&.3

  :
\ \ :


− + =


+ =

 
 
B.37-(S!#(S!%&(f&.3

 
   

+ −
= +
+
 

 
B.Y378!8%&G4u!+,1f!+4&+g./!&C++D&
)U!+<O"!#4:J
@QS!,"!+8!i!+&!
 !7!*"#9!0!-)#:;<*=#<7
B.\&3
78!8(B!3

:
 !
π
= +


  
7-3

 Y

+ − −
=
+
  


,!Ev!+J(8&#0,1
!
B.\37,!+H/JK5L?:CCC@CCCCC=aZ(()*!+
,-!O(P!+W.&?C@Cf!+!,E!+K‰!+!E,"!O(P!+
#K?@4-!D!Z78!8G(>K?@ ,E!+>:C:C\
])*!+@^._7`Q7!aB


122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
 !7!*"#>?-)#:;@*=#@7
B.F&3
78!8(B!3


 4!= +


  

7-3
Y 
m \ ::m= − −  
,
B.F37,!+H/JK5L3?:CCC@CCYC=C:C`‚4Z(
()*!+,-!O(P!+^W.&?C@CaZ(()*!+,-!&%&)U!+P!+
W.&@#M#0M4+&%&O(P!+^#0,1KL
ĐỀ 24
9Q ầ!.!+3 
B.935

R5
 "!"!##$%&
 ]&#CH!4.Z![!+H%&()*!+,-!35

R56
:
B.993
 2()*!+,-!34+

5R4+

56:
 78!8(B!39
 
:
5V5
π



 #
 ‡55

65

6' ()*!+,-! (. !
%&W.&+I&J
B.9993-!(f+g.Cc/!g.E!+&78!8-!
(>?@]
99QS!,"!+ 3 
)*!+,-!.w! 3
B.9'&37,!+GA!++&!K5LY?N=N=C@NN:C:NNC]=
NN
 ' ()*!+,-!O(P!+@]>.,&?@]4fVH!
 ' ()*!+,-!OS.B? (5T#0O(P!+@]
B.'&32()*!+,-!35

656:,"!B((f
)*!+,-!!B!+& 3
B.'93)U!+P!+V

3
Y

Y
= +


= −



=

 
 

CV

3

  Š
Š
=


= +


= −


 
 
 78!/!#.A!++.!+%&)U!+P!+V

#V

 ' ()*!+,-!OS.)U!+G8!4/!#.A!++.!+%&V

#

V

B.'32()*!+,-!35

665RR:,"!B((f
ĐỀ 25
9Q`zs`{s23
B.93
 5R

YR5
])*!+@^._7`Q7!aB
m

122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
 ##$%&' ()*!+,-! (. !%&
/?N
 7-()*!+,-!35

RF5

6r5RYR:C&!+H(B!H
B.993
 78!8(B!39

:
Y ! F 
π



   
2()*!+,-!3Y
5
RF
56
6
:
 7-Z(5!%&3

 4+  − −
B.9993
 -!(>?@]?@]4-!#.A!+/!&CO"!>?@4
&+g.##.A!++#02I`4,.!+?@f!+!,E!+3>`
#.A!++O(P!+?@]78!8G(>?@][&
99Q`zsk9€s23
7[)*!+,-!.w!3
B.9'&3
 7,!+GA!++&!K5LOS.>35

6

6L

R5RYRFL:
 ;!B#!G8!%&OS.>
 2I?N@N4S!4)l4+&G+/JK%&OS.>#0
,1K5NKNKL7-/J?N@N' ()*!+,-!O(P!+?@
B.'&3
 2()*!+,-!&.,"!Z((f3L


6YL

6::
7[)*!+,-!!B!+&3
B.9'3
 7,!+GA!++&!K5L)U!+P!+]3
  
  \
− + −
= =
  
#O(P!+Q3
566LRm:
 f!+b)U!+P!+]GA!+#.A!++(Q7-+&%&
)U!+P!+]#O(P!+Q
 ' ()*!+,-!)U!+P!+]o4-! .#.A!++%&)U!+
P!+]4"!O(P!+Q
B.'3
 2()*!+,-!&.,"!Z((f3L6

6L6R:
ĐỀ 26

Q`zs`{s2`K7|7}‹7`~>9s`3
B.93
##$%&


+
=

+



Mk#0I+,%&C)U!+P!+V564.A!n/
(B!H
2I?4+&%&#0,1K5' ()*!+,-! (. !%&/
?
B.9932()*!+,-!3

 4+
 m

=


])*!+@^._7`Q7!aB
r

122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
 7-+,40!!c#+,!b!c%&3!

56!5R
B.9993
fVH!>?@/!>?#.A!++#0O(P!+?@#>?&C
?@C?#
·
:
r:= 78!VH!8OS.#8GS.!+/ (f
VH!>?@

Q`zsk9€s23
7[)*!+,-!.w!3
B.9'&3
7,!+GA!++&!K5L M=NN#O(P!+Q()*!+
,-!3566LR:
 `‚# ()*!+,-!)U!+P!+VW.&M##.A!++#0O(P+
Q7-I&J+&`%&)U!+P!+V#O(P!+Q
 `‚# ()*!+,-!OS.BM!G8!kYf!+bOS.!
nO(P!+Q[+&. !4)U!+,h!
B.'&3
78!VH!8-!(P!++0&
Œ
!X)U!+Q3YR5

CV3=56
7[)*!+,-!sB!+&3
B.9'3
7,!+GA!++&!K5LY?=NNC@:NYNC\NN=\C]=NmN=\#
)U!+P!+V3
\  r
 \ Y
+ + −
= =

  

 ' ()*!+,-!OS.>!+/ (fVH!?@]
 7-I&J+&MCs%&V#0OS.>
 ' ()*!+,-!O(P!+ (5T#0OS.>/MCs
B.'378!VH!8-!(P!++0&!X)U!+Q35


6C (
. !%&Q/MN\#,1K
ĐỀ 27

B.93
 !"!##$%& =5

65

=56
78!VH!8-!(P!++0/!X#,1I&J
B.993
5!5f!+!,E!+35=
( )
Š !− 
65oo:
2()*!+,-!34+

( )
 −

4+

( )

 
+



F
78!9

 
:
+

 
V5
B.999
 7,!+GA!++&!K5LO(P!+
α
#
Š
α
()*!+,-!3

α
35=
6L=:#
α
o356F6L6\:
f!+bO(P!+‚#.A!++#0!&.
' ()*!+,-!O(P!+
β
W.&+I&J#+&. !%&O
(P!+
α
C
Š

α

])*!+@^._7`Q7!aB
:

122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
B.9'33
GJ(?@]?o@oo]o 8::r

78!8GfVH!
o?@
B.'378!A.!%&(fL …
( )
 −



 
+
 ÷
 

ĐỀ 28

9 Q`zs`{s2C:
B.
 
  = − + −  

 !"!##$

' ()*!+,-! (. !%&/!J
= −
*


B.
 2()*!+,-!

 m r
+ −
+ =
 
78!8(B!

:

π
=

  
 7-27asC27ss%&

r = − 
,"!/!d=Ne
B.fVH!g.?@]/!E!+


 78!g.&%&fVH!?@]
 78!8%&fVH!?@]
99Q`zs]•s``K7`~>9s`7Žs2@?sC:

B.Y&2!?N:N:C@:NN:C:N:NC]=NN=
 f!+!?C@CC]4!j!%&JfVH!
 78!8%&fVH!
 aZ(()*!+,-!OS.!+/ (fVH!?@]
B.\&2()*!+,-!

 :+ + = 
,"!Z((f
ĐỀ 29

9Q`zs`{s2C:
B.
 
 Y= + −  

 !"!##$
' ()*!+,-! (. !%&/B5f!+
B.
2()*!+,-!
F 
  :− + =
 
 

78!8(B!


:
!  !
π

=

  
7-27asC27ss%&
 
   := − − +   
,"!/!d=Ne
B.
-!(&+g.>?@/!E!+


C/!"!E!+

])*!+@^._7`Q7!aB


122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
78!g.&%&-!(>?@
78!8%&-!(>?@
99Q`zs]•s``K7`~>9s`7Žs2@?sC:
B.Y&2OS.>)U!+G8!?@C ?FNN=\C@=YN:N
aZ(()*!+,-!OS.>
aZ(()*!+,-!O(P!+Q (5TOS.>/?
B.\&2()*!+,-!

  :+ + = 
,"!Z((f
ĐỀ 30

9Q`zs`{s2C:

B.
 
 Y= − + −  

 !"!##$
]v!+CH!4.Z![!+H%&()*!+,-!

 
 Y− + = +  

B.
2()*!+,-!
r
Y4+ 4+  + =



78!8(B!

:
4! = +

  
7-27asC27ss%&
\ Y= − 
,"!/!d=Ne
B.
-!(>?@]?@]4-!D!ZC/!"!>?#.A!+
+#0O(P!+>?&C>@\&C?]&
78!JV?@

78!8%&-!(>?@]
99Q`zs]•s``K7`~>9s`7Žs2@?sC:
B.Y&2!?=NFNC@N:NFC:NN=C]NYN:
' ()*!+,-!O(P!+@]>.,&?@]4JfVH!
78!g.&?`%&fVH!?@]
' ()*!+,-!O(P!+^f&?@#!+!+#0]
B.\&2()*!+,-!

\ :+ + = 
,"!Z((f
ĐỀ 31
9Q`zs`{s2C:
B.
 
 = + +  

 !"!##$
' ()*!+,-! (. !%&/!J
= −
*


B.
2c()*!+,-!

Y F
 
 
− +
 


 ÷
 
 

78!8(B!


4!=


  
7-27asC27ss%&
−
=



,"!/!d=N=e
])*!+@^._7`Q7!aB


122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
B.
-!(>?@]?@]4-!-!!
 ⊥ A
>?


C?@&C?]\&C+@?]:


78!8%&-!(>?@]
99Q`zs]•s``K7`~>9s`7Žs2@?sC:
B.Y&2O(P!+
  3  \  :
α
+ − − =  
#)U!+P!+
 Y
  3 r 

= +


= +


= +

 
  
 

7-+&M%&)U!+P!+V#O(P!+
 
α

' ()*!+,-!O(P!+
 
β

f&M##.A!++#0)U!+P!+V
B.\&2()*!+,-!

  :+ + = 
,"!Z((f
ĐỀ 32
9Q`zs`{s2C:
B.
 
 = − + +  

 !"!##$
' ()*!+,-! (. !%&/!J
= −
*


B.
2()*!+,-!
4+  4+  4+ − − − = 

78!8(B!
4!

:
 
=
+





 

7-27asC27ss%&
 

  Y

= + + −   
,"!/!d=YN:e
B.
-!(f+g.>?@]/!E!+


C/!"!E!+&
78!g.&%&-!(>?@]
78!8%&-!(>?@]
99Q`zs]•s``K7`~>9s`7Žs2@?sC:
B.Y&2&)U!+P!+


  3  

= −


= +



=

 
  
 
#




  3  


= +

= −


=

 
  


f!+!,E!+V

#V

<!&.
B.\&2()*!+,-!


   :+ + = 
,"!Z((f
ĐỀ 33
9Q`zs`{s2C:
B.
 
 Y= + −  

 !"!##$
' ()*!+,-! (. !%&/I&J
 N − −

B.
2()*!+,-!
F Y F :− + =
 

])*!+@^._7`Q7!aB


122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
78!8(B!




 

= −


 
   
7-27asC27ss%&

= + 

,"!G!+:N6•
B.
-!(>?@]?@]4-!D!Z/!"!>?#.A!+
+#0O(P!+>@\&C?@&C?Y&
78!g.&%&>?@]
78!8%&>?@]
99Q`zs]•s``K7`~>9s`7Žs2@?sC:
B.Y&2OS.
  
  3 :  F : :+ + − + + + =      

7-/JB9#JV!G8!,%&OS.>
aZ(  ()*!+  ,-!  )U!+  P!+  V  W.&    9  #.A!+  +  #0  O  (P!+
  3  \ Y :
α
− + − =  

B.\&2()*!+,-!

 Y  :− + = 
,"!Z((f
ĐỀ 34
9Q`zs`{s2C:

B.
 
F r= − +   

 !"!##$
' ()*!+,-! (. !%&//%&!
B.
2()*!+,-!
 
r Y  :
+
− + =
 

78!8(B!
4!\

4! 

=





 

7-27asC27ss%&
 
m F r= − + −   

,"!/!dNe
B.
fVH!g.?@]/!E!+



78!g.&%&fVH!?@]
78!8%&fVH!?@]
99Q`zs]•s``K7`~>9s`7Žs2@?sC:
B.Y&2&?N:N=C@NNC:NN:2I24,I!+B
&+?@
' ()*!+,-!)U!+P!+K2
' ()*!+,-!OS.>W.&!KC?C@C
' ()*!+,-!O(P!+#.A!++#0)U!+P!+K2# (5T#0O
S.>
B.\&2()*!+,-!

 r :
− + =
 
,"!Z((f
ĐỀ 35
9Q`zs`{s2C:
B.

= −  

 !"!##$
])*!+@^._7`Q7!aB
Y


122 ĐỀ ÔN THI TỐT NGHIỆP MÔN TOÁN THPT NĂM HỌC 2010 - 2011
]v!+  C  -    +  ,  %&      ()*!+  ,-!  &.    &  !+H  

  :− + − =  

B.
2()*!+,-!
  

+ =
 

78!8(B!


:
4! = +

   
7-27asC27ss%&
Y


 
= − − +

 
,"!/!d=Ne
B.

fVH!g.?@]/!E!+


7
78!g.&%&fVH!?@]
78!8%&fVH!?@]
99Q`zs]•s``K7`~>9s`7Žs2@?sC:
 B.  Y&    2       )U!+  P!+ 
  
  3
  
− + −
= =
  

 #  O  (P!+
  3   :
α
− + + =  

7-/J+&M%&)U!+P!+V#O(P!+
 
α

' ()*!+,-!O(P!+f&V##.A!++#0O(P!+
 
α

B.\&2()*!+,-!


\ :+ + = 
,"!Z((f
ĐỀ 36

9Q`zs`{s2C:
B.
 
 Y = − + − +   

 !"!##$
' ()*!+,-! (. !%&/!J
= −
*


B.
2()*!+,-!
 
\ \ Y
+ −
− =
 

78!8(B!

\

 = −

   

7-27asC27ss%&

 F

− +
=

 


,"!G!+N6•
B.
-!(f+g.>?@]/!E!+

7
C/!"!E!+
78!g.&%&>?@]
78!8%&>?@]
99Q`zs]•s``K7`~>9s`7Žs2@?sC:
B.Y&2O(P!+
  3  Y :
α
+ − − =  
#
M=N=N:
' ()*!+,-!O(P!+
 
β
W.&M#!+!+#0
 

α

' ()*!+,-!)U!+P!+VW.&M##.A!++#0
 
α

7-/J+&`%&V#
 
α

B.\&2()*!+,-!

 :+ + = 
,"!Z((f
])*!+@^._7`Q7!aB
\

×