! " #!$%& '()*)+
,-
Ngày thi 18/12/2012
Đề thi gồm 05 câu, trong 01 trang)
./
!"#$%&'()*+
,# -,.)/!'(!%0)
,12,#345#%)-."6/784
9:+,18;4<<'=>6/1?+,12)@
9A34-6.)B1,#6.)C9
D" .6C 9EFG6 .6Cxi lanhC%)C349
*H27?6.)B1C34I>6.)Cxi lanh3$'(J=%"8<;
%06.)B1C349K2B.4$=%"8<@,#<C<L1M*+9N4
7 %)76MC<84xi lanh;%0=%"8<819
OPB;1744+;<=,1.'09K=%"8<@,#-/xi lanh
42,#9D"."6/C <84LQ
R
*
9
./
7(.@/)STE.)
=
l m
LU#9V+6E!"+6TI%0
+86--.4W4'>U;%0'>8$6
T
X*7Y9!
86/7-81.@/)*Z77-86/0+6E$2[8=[9H\)86CTE9
[X+6T,I+6.49
N6IM,4@6QT,I+6.4$-,#*%)-
,#]^&$.[C7(.@/84_8'(819
*$J817(.@/-,#[X`7]
./+
a4 M6<A
%)A
*
bS8c6
O l cm=
-16B+'()
df cm=
%)
*
O 9f cm= −
%e7
AB cm
=
b%6-%08c<T#818c<8'0A
%)A
42.
9fC%eTEG6 )TgEg9
a4
`d cm=
9D"%"8<<M6%)4C2TgEg9
*D".
4%"M6<%"8<C2TgEgh9
./0
a4[ '$%&*9V =+64[[)
TE
6 47 ^9
= π
150
EFG6 8=C.@/!%)4K
8=^R%i09
K-K-j
T
XO`^j
k
X`^76M16c
814[[k):
k
Xl9<m8A]
*K-K=6n .6a 6.cJ,2
c [B[j
a
9$aj
a
%) 6.cj
T
j
k
-]
OK-K=6na7!n^RFM]$a%)7!nC^R-]
./1
^eb-!'(#81bU#'(I%)4
+634-;K+6C34'(I%)4!"T9Q
)4-%e,I+6"6.cCB
o
r
h'0
W48c34'$%&O9EFG67J%e%)bU#9
pq/$G6q')%e'(%)-RG6q'
-Q,I+6.cB
o
r
4R%e.Q[+;M9
*kR6+634I%)4T)'(I%0%e!
'('$%&9p 7!7J%)bU)
9
µ
pq/"0CB
o
r
%e.4639
222222222232222222222
Họ và tên thí sinh:………………………………………; Số báo danh:……………………….
Chữ ký giám thị 1:…………………………… ; Chữ ký giám thị 2:………………
-4
p$
5
67
8
9
p$*
K
T
o
r
p$O
K
o
r
p$
:;<8
! " #!$%& '()*)+
,-
Ngày thi 18/12/2012
=>?@ABC@( D&AE&)1(./67F@A)17#@AG
./ H!B/@A !I&
=0J!I&G
GK&@ !LB/@A(M#N O=6)J!I&G
H27?86/4 '(
r
9
H\
) ,+6C<
*
) C<76q86/
4- '(
r
9^$,FG671W46/1<s-
( )
( )
( )
* *
* *
Om K
j r T r j T
* *
∆ = + ⇒ = ∆ − = − + −
K);34
x
%)
*
x
)tC34;%0
*
9
)61
Q6 @,#C76/8
*
K
PS
x
S
Kx
S
F
P =→==
)61
W4'>8$8[
:^ m= →
xS
RT
V
RT
P
9
==
O
/O%)4
( )
*
*
RT
x
K
→ =
)61
^e/
( )
( )
( )
* * * *
* * * *
* *
R K R
x x T T x x T T
K
− = − → − = −
/%)4
( ) ( )
*
r j T *m *m → = ∆ − = − = ∆
k .6C )
*
Q
C R
T
= =
∆
)61
GFPQ@ @ !LJHRSQTP/D(M#N O7F@AU!V#@ "@AR?! #!RW7O(M#
T!X@A=6)J!I&G
YFPQ@ @ !LJH=61J!I&G
W46/1us B\-
j r T∆ = +
%$rX4[
( )
j T ∆ − =
*
*
K
j vK : N
*
∆ + = =
*
*
* * * *
mK
: ^ m v ^ *N
*
= = → =
*
/*%)4
( )
*
*
mOm
*
→ − + =
( )
* * *
d
d
w
⇒ − + = → = < →
k 2
)61
)61
)61
)61
YFPQ@ QTP/D=)61J!I&G
*
*
^
^ ^ : m
* *
= → =
v
* * *
: ^ m=
* *
: w w
* *9
: d O
→ = = = →
*
w
O
PP =
→^e/76Mx29
)61
)61
+GZQ(JW@ JHBW( ( /[I@(M#T!X@AN !%@A@ !LJHN O7F@AU!V#@ \
J]@
^=6)J!I&G
H27?<e'( '(rL Q
R
*
9
W46/1us
j r T r j T∆ = + → = ∆ −
rXa
T
∆
X*m
*
y
*
U
∆
X
)TT(
2
R3
12
−
O
a\!RLM.zl
X=^aE9
-
* *
T
*
= + − +
/*O%)4'(
*
* *
Om
*m *
* *
− = − + + +
%$<B 1T{
*
*
m `
* *
→ + + − − =
|}<-
.
.
o :9N
o 9
m
:^ m :N m :N
+ =
=
= → = → =
76/8
*
m m
d
+ = → = −
/d%)`-
*
*
*
m *m
m
− + − − =
~ *
*
*
m m
m
∆ = + − −
~
*
m
m
− ± ∆
→ =
−
)61
)61
)61
)61
=0J!I&G
GZQ(JW@ _!A!#@@A`@@ DRSRa K@ Bb@APc!B.[=61J!I&G
• •IMQT,I+6.4-
,#*2/881TE'-7-.Q9
• K-'>8$7-[
6
X*7Yy`9Y
l
Z%X*7Yy`YZ*%0€
l
Z*%XZX*`7
)61
•a-6
X*) C'>8$
6
X*7Yy`YZ*X*%0€*`7
→X|*6/1v%$€*`776/8X*O•
• →
X|*
XO79
)61
•[XO77-817(.@/q8'/'(G6q'
TaX%9X*9OXd9p$27(.@/'$%&
)61
•FM-,#2/881TEq-7-
.Q9K-'>8$7-[
6
X*7YyY9
l
Z*%y*7YyY9O
l
Z*%X47Yy`Y
%0€O9
l
Z*%Xw`7
a-6
X) C'>8$
6
X47Yy`YX%0€w`7
→gX`|*6/1
%0
g
€w`776/8X*O99
)61
T
E
a
d
6
*
‚*
→g
X`|Xƒ79
•[gXƒ77-86/'(G6q'7X%9gXX
TE|EP%0EPX9^e/81TPn-7-081PE-7-.Q
)61
GK&@ d@AJ!I&7e@Pc!B.[(fV!JHgh@A)b! _!J!I&2i61P=61J!I&G
•[X`77-q86/'(G6q'7X%9Xw{*9TE
→%e/81.@/-*4[QTRKn-7-0TKXO
QKRE-7-.QKEXw
)61
•81TK%"8<k42qTkX
6
k
X*7Y9`yYZ*Xv„{O
→
k
X9
)61
•81KE%"8<:42qT:XO„„
6
:
X*7YyYZ*y*7[YyY*
l
‚Z*]
→6
:
X7[Y
l
‚Z*]947Y‚Y
l
Z*
[X`7-
6
:
X47O`Y97[Y‚Z*]X%0\O„„
→M2QK0E6-,#9
)61
G F
`d cm=
^ZQ(JW@ RW7O6O@ ( D6( !j/RSJH(#F(M#k@ 9ll=6)J!I&G
K.
X`→
d.
. X
. ‚
d
d f
d
m
f
c
′
= =
−
~
*
. X‚. O *cm= − =
* *
*
* *
d
. X *d
*O
d f
cm
d f
′
= − − <
−
;
→TgEg)224A
*
42*d9
)61
)61
)61
V-[
* *
*
… … ‚. *
X 9 X‚
… ‚. … *O
′
{
2TgEg'(6%0%eTE-0)TgEgX*Z*O9
)61
GZQ(JW@ B
JIN ! FQ@RW #! D/NO@ RW7O(M#k@ 9llN X@AJm!=6)J!I&G
K%eTE=8'0M6<A
d.
. X
. ‚d
d f
d f
′
=
−
v
~
*
*. ‚
. X‚.
. ‚d
=
v
* *
*
* *
d‚.
. X
O. ‚**
d f
d f
′
=
−
)61
K%eTE=8'0M6<A
*
*
*
. … ‚O.
. X X
. ‚… . |O
′
*
OO. |ƒ
. X‚. X
. |O
′
→
*
*
*
. … *. |O
. X X
. ‚… O. |
′
→
*
)61
V%"8<2h4%"M6<
)61
T
E
`
P
*
6
T
E
K
O `
+
=0J!I&G
Q%)*-
d‚.
O. ‚**
X
*. |O
O. |
*
O. ‚. ‚dX→
•
:'>8$•- .'>.6/M).
XwOw9
^e/2b%eTEM6<42wOw9
)61
0
=0J!I&G
G !N f#Jf@Ano
98
2+16o
8
2i16(X@AP/D7e@JFb@&b( 8VS
8
20)p^O@ 5676=6)J!I&G
KK-[-mA8
-j
m
Xj
T
XO`^v
****
`=+=
rLMN
UUU
)61
***
m
***
m
*
w`9** =+++=++=
rLrRLr
UUUUUUUUU
*
)61
Q%)*X†j
8
X^vj
A
Xw`^ )61
:
k
Xj
8
9sXlX†sX:
k
Zj
8
XT )61
^e/mXj
m
ZsXO`‡
8Xj
8
ZsX‡
ˆ
A
Xj
A
ZsXw`‡X†AXw`ZYp
)6q1
G !N f#&r6J!j/( s@ J!L@B/@AJIJ!L@QT !L/Bt@AA!d# #!gk@tJ!L@Jb
(u(o
&#U
^K&6o
&#U
RSJ!L@QT !L/Bt@Ao
98
6o
8
=6)J!I&G
-
*
9
9
*
****
+−
++
=
−++
==
C
L
C
LCL
C
CC
Z
Z
Z
ZrR
U
ZZrR
ZU
ZIU
)61
a;j
a
X
rR
ZrRU
L
+
++
**
ˆ
a
X
L
L
Z
ZrR
**
++
/7!<'(j
a
X`^ˆ
a
X`‡X†aX*9
‚
ZOYo
)61
K-
Ω= *w`Z
sXjZˆXT
j
T
XsmXO`^j
k
Xs
=+
**
L
Zr
`^
)61
+G !N f#&r6J!j/( s@ JIPv( sX@N]@ w@ DxK&RSPv( s(M#
X@N]N !Jf=6)J!I&G
KK=[-mA8a
-
*
9
**
***
**
+
−+
+
=
−++
−+
==
CL
CL
CL
MBV
ZZr
RrR
U
ZZrR
ZZrU
ZIU
)61
Ka/hˆ
A
‚ˆ
a
*
€X†
r
rR
r
RrR
ZZr
RrR
CL
+
=+
+
≤+
−+
+
*
*
*
*
**
*
)61
X†j
^
€j8Zm|8X†j
^
Xj8Zm|8X
*
^
VU;2/8ˆ
a
Xˆ
A
Xw`‡X†aX9
‚
ZOYo
)61
1 GK&y/z@AJ>_@ARS _!A!#@R{&J! ]y/z@AJ>_@AJfNI\N !g`J|/
Vu(
o
r
Q(Bt@A( FJ]@N !R{&B\@AVb!V|@ "@ D=61J!I&G
T
o
r
‰
=0J!I&G
•a\8c4['0.\W48c34!4[8i%0%"8<@
,#C%e76q-B
o
r
.c9K-%"8<,+6C%e-
4[)
9
•[%"8<@,#34,",R.['(
x
%)
X‚
F
K
)61
•[4[,MŠ$,R.[C34)|
x
W4"6e
ssk6>‚K|
x
|oX
⇔
‚K|
F
K
|oX
⇔
‚KX
⇔
gg
|
*
ω
X
84-
K
m
ω
=
9^e.464)%0'>8$XT47
t
ω ϕ
+
)61
•[X$X
%X
v
F
A
K
ϕ π
⇒ = =
)61
•r6q')%eb'(Q,I+6.cB
o
r
R
%e.Q[+;MNX*TX
*F
K
)61
•QB
o
r
,I+6.cR%e.Q[+;M
X
*
T m
K
π
=
)61
GHV?@(M#Vu(
o
r
JIR{&B#FJH@AJ!j/ }#=61J!I&G
V76B
o
r
.c%e%z.464)$84G68$
6/C$2#/19
)61
V#/1$0B)SB['(%'(G60
C7nB[o
µ
≤
)61
K9*T
µ
≤
⇔
*K
F
K
µ
≤
⇔
o
*
Mg
µ
≤
)61
222222222232222222222
Lưu ý: |p\7)R@6$244R-9
|p\7)W4)$24M'>;W4
C'0.zM9
|8'(\7)W4)'0)8'(RG62'R
G626!i-77-$24284h%0hM'8'02G6/R9
|VC,))839