HƯỚNG DẪN GIẢI CHI TIẾT BỘ ĐỀ ĐẠI HỌC MÔN VẬT LÝ 2013 2014

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

U
L
U
R
HD GIẢI ĐỀ THI ĐH-CĐ 2013-2014
Môn thi: VẬT LÝ, khối A- A1
 !"!#$ !!%&'()*+,-.
/(0!%12!3!.456789(!: ;!%<=4=+>;?!5
I PHẦN CHUNG CHO TẤT CẢ THÍ SINH (40 câu, từ câu 1 đến câu 40):
Câu 1:4!%@!A4!786B ! '!%C!DE!%/09074!%+(F
.5555
*Hướng dẫn : #>;'(!'(!+G3*Chọn D.
Câu 2:6/,1;'!%H;1?I' JKL/09:!MDN75&O=P7/,Q;
/R GC!9S!%I'1T!%5$T!% N!1;'!%U;/,+(F
.5
M'7# *

x t cm
π
π
= −
5
M'7# *


x t cm
π
π
= +

5
M'7# *

x t cm
π
π
= +
5
M'7# *

x t cm
π
π
= −
Hướng dẫn : #>;/('+G3* Chọn D.
Câu 3:V@!-
  osu c tV
π
=
/(';'&!&W!83-%X@! Y
Ω
!<4
><


H
π
/(J@!4@!1!%



F
π
−
5Z@!-[O%\;;@! Y9S!%
 V
N
@!-[O%\;;!<4+0!9S!%F
.5]5]5
 V
5
 V
Hướng dẫn : Chọn A.
^FG!I'E!%[
Câu 4:;'!+WT!41(+!+_+(/( _
 I'Y !`!-H!%5Z/,!aU;;'!+W;!%Y/R GC!9S!%X!%O !'
b!%/,!8c!%0!%7;'';'!+W1;'!%H;/0c!%9:!%4 '!%;V
-d!%7'!%7'!%/0!;5e?
t∆
+(D'<!%O%;!!%W!!fD=A+b !/,!83!+b;1C I'
7'!%7'!%!;5e R
t
∆
%!% R!('!f7;CF
.5757C. 0,45s5g7

Hướng dẫn : Chọn C
Câu 5:&!C!4JD8(!%+0!NF
.5)`!%+_!%+:!D3 :!%(!%!a55)`!%+_!%+:!D3(!%+0!
5)`!%+_!%+:!D3(!%!a55)`!%+_!%+:!D3 :!%(!%+0!55
Câu 6: :!7_1C(!X1(;8R!;!%474!%1A!%/0M!b74!%#D=<;
1C*5074!%U;74!% ! :!1C+(F
.5M555M

Mã đề thi 318
( )
( )
( )
( )
0R
0L
2 2
R L
R L
L
0R 0L
R
U 220 V
11
Z 20 2 I A
U 880 V
2
u u
u u
1 u 440 V
U U

u 110 3

=

= → = →

=



⊥
   

→ + = → =
 ÷  ÷

 ÷  ÷
=

   

F)N!N!/h7 ;-!.5
]H!% '!%[!%/0
i

/H!%!%'([!%/0
"
5
Câu 7:c!%&
α

4!%!`!%gg6I]9W!/('&!C!

g
N
;!%[!%:!%C ;-<![!%
  g
g  
N p O
α
+ → +
5&- ''!9; ;I'-T!%/E!%%4/0-T!%9;0U;&
α
5'D8+_!%
&!C!
 g
M j g j kkk j kkg
p N o
m u m u m u m u
α
= = = =
53

 kM lu MeV c=
5
!%!`!%U;&
g

O
+(F
.5M6I]56I]5M6I]5gM6I]5

Hướng dẫn :
2
đ
đp đO
đO
p 2mW
2 2 2
p O O p O đO p đp đ
7,7 E W W
W 2,075MeV
p p p p p p m W m W m W
=
α α α α

+ ∆ = +

→ =

= + ↔ = + → = +


uur uur uur
Câu 8:;1;'!%H;c!%-T!%c!%!7849:!+!+_+(.

Pj.

PM/(+@
-;!;

π

5;'!%m!%_-U;;1;'!%!(49:!9S!%F
.55g55g
Hướng dẫn :
( )
2 2
1 2 1 2
A A A 2A A cos 17 cm= + + ϕ =
Câu 9:V/(';!7Tf-U;93!-6

@!-L';4% R@1J!%
]5Z!8;!7Tf-U;93!-6

/(';![f-U;6

N@!-@
1J!%Y;![f-U;6

=Y9S!%M]5Z!8;U;![f-U;6

/0;
![f-U;6

N@!-@1J!%Y;!7Tf-U;6

=Y9S!%M]5aQ;?;'
-G56

4n78%\;78/H!%1C!7'f-/(78/H!%![f-+(F
.5555M
*Hướng dẫn :

( )
1
12
2 1
22
22
2 1
12
Gọi Xlàđiệnáphiệudụngđầuracuộn thứcấpM
200
M1) k
X
N
X
Nối cuộn sơ cấpM vàothứcấp M :
k 8
12,5 N
M2) X 25 V
N
X
Nối cuộn thứcấpM vàothứcấp M :
50 N

=





=


→ =



→ =



=





Câu 10:[!`!%+_!%U; &!%1A!%U;!%:!o1 '_LR!9S!%9=[


n
E eV
n
= −
#!Pp*5)3!%:!o1 'f-J-''!4!`!%+_!%MMI]N9074!%
!a!fU;9[L&(!%:!o1 '4=- ;+(F
.5kg5

55

55


5g5

5
*Hướng dẫn :
( )
8
4 2 4 min 41
4 1
hc
*2,55eV E E Mứctốiđalà E 9,74.10 m
E E
−
= − → → λ = λ = =
−
Câu 11:e0&!Q;!%@!U;D+'&+(
gM m
µ
5E!%'I+I '! ;DaD+'&9S!%F
.5M5

q5M5

q5M5
k
q5M5
k
q5
Câu 12:6/,!a1;'!%H;I'Qr&'1(5;'!%!(49:!F
.55555
Câu 13:6D!%1C12!-d!%1sN!\!,41@!G


Q;Q;! J8L[!%
#V-d!%D!%* '!%A O!%4/tT<[!%A/E!%%4/0 JQ;/(4+0!
5AE!%>&Q;D!%1C+(F
.55

u955

u955

u955

u95
Câu 14:674!%N!7!;!% ! :!

7_1CI'1T!%U; JKL5
N!/hE<N!1&!%U;7_1C&O
=

#O!%!t[*/(

P

v#7*
#O!%+!!t*5 &O=

/,!8
U;=) :!C+(
.5kl75Ml7
5Ml75kl7

Hướng dẫn :
w;!7N!/hfQx!%O!%74!% ! '!%7_l9074!%yPlzP#7*
O=

=);!%+:!/
;L
P.{PM5|lPkl75
 Đây là kiểu bài toán đồ thị. Có điều hình vẽ trong đề hơi khó nhìn.
Cách 2
AN!/h1}1(!%fF
cm
=
λ
8 !74!%F/PMlPMl7P~D•74!%FPlMP7
);!%Y]/(1;'!%+:!/N/,F]
)
P]
;L
P
A
ω
Pkl7
Cách 3
Cách 4
Câu 15:e?
D
ε
+(!`!%+_!%U;-''!!7!%a
L
ε

+(!`!%+_!%U;-''!!7!%+J
V
ε
+(
!`!%+_!%U;-''!!7!%/(!%5W-L3-!('7;Cb!%F
.5
V L D
ε ε ε
> >
5
L V D
ε ε ε
> >
5
L D V
ε ε ε
> >
5
D V L
ε ε ε
> >
Câu 16:V@!-
  osu c ftV
π
=
#
f
;m_*/(';'&!&W!83-%X!
<!4><"@! Yi/(J@!4@!1!%/0i


€"5Z•P•

N@!-@1J!%

%\;;J@!&>&5Z•P•

P•


N@!-@1J!%%\;;@! Y&>&5Z
•P•

N@!-%\;;!<&>&‚
";L
5e RU;‚
";L
%!% R!('!f7;CF
.5M]5M]5Mg]5g]5
Hướng dẫn :
Cách 1
Cách 2: I'E!%[
2
2
Lmax Cmax
4 4
2 1
U.f
U U
f f
= =

−
Cách 3
ƒ-1J!%F
2
2
C
2 2
Lmax L
f
U
1
U f
+ =
]0•

5•

P•



!:!•

P•

;•
"
P•

A4G!_F‚

";L
PM]
Câu 17:V@!-

osu U c t
ω
=
#‚

/(
ω
DE!%m*/(';'&!&W!83-%X@! Yi
J@!4@!1!%!<!4><";m_5Z"P"

/("P"

@!-@1J!%
Y;!<4c!%% Rj+@-;U;@!-Y;'&!&7'/0O!%1H!%@!
+!+_+(M ;1/(M ;15Z"P"

@!-%\;;!<&>&j+@-;U;@!-
;'&!&7'/0O!%1H!%@!+(
ϕ
5e RU;
ϕ
%!% R!('!f7;CF
.5 ;1Mg ;15 ;15 ;15

Hướng dẫn
vZ‚

";L
N„
"'
P
C
C
LL
LL
Z
ZR
ZZ
ZZ




+
=
+
 #*
v](F
Zc
R
R
ZcZ
Lo
=
−
=
ϕ

;!
#*
vVF;!#M*P;/(;!#M*P9N;4F;59P

v;4F







+=→=
−
=
+=→=
−
=
ZcRbZb
R
ZcZ
ZcRaZa
R
ZcZ
L
L
L
L
5M;!
5M;!





#*
;#*/('#*/(VLPil„

N;4$F
#;v9*…

;595…

#;v9*5…vPgM ;1
]N;59P!:!$4!%@F…P!:!;!
ϕ
PgM ;1
Cách 2
Câu 18:V@!-4P'7#π*]5/(';'&!&%X@! Y4iP†J@!4
@!1!%



C F
π
−
=
/(!<4><

L H
π

=
5=[U;O!%1H!%@! '!%&+(F
A:P'7#πvπl*. B:P'7#πvπl*.
C:P'7#ππl*. D:P'7#ππl*.
Hướng dẫn :
( )
FX570ESPLUS
u 220 2 0 11
i
Z 5 4
100 100 200 i
∠ π
= = → ∠
+ −
Câu 19:Z!4/-''!-9=!('10Cb!%F
.5]0‡!7!%T!7W4!78LR!-''!;!%!`!%+_!%!!;5
5$''!4=X!& '!% &!%[!%:!5
5)`!%+_!%U;-''!(!%+0!D9074!%!7!%[!%/0-''!4(!%+0!5
5)`!%+_!%U;-''!!7!%G!aT!!`!%+_!%U;-''!!7!%a5
Câu 20:39!DG!'+(

PM5

5!DG!Qr&'1A!%6 '!%!%:!o1 '+(F
.5M5

55

55


5gg5

5
Hướng dẫn : r
n
= n
2
.r
0
= 47,7.10
-11
m
Câu 21: '!%G!%@ˆC!%/%;'';!7!%!3;!7!%T!7W(+;9S!%!7!%
T!7W(/(!%/(%\!%:!D@!DN :!(!Q;!7F
.5Z'<!%/C!`!%+:!5Z'<!%/C!%<L8!%5
5/R R/C! !%C;m5Z'<!%/C!DE!%;m5
Câu 22: :!O!%d!%8R! '!%E O!%d!%0!%DE!%f-JC/(-<!L&C
Y!%X!CD'<!%1_C4[O!%C+("jD1R=! ;
L;!%X!C:kN[O!%C_+("#1*5Z'<!%1+(F
.55k555
hướng dẫn :
( )
2 2
Giaûi pt ñôngiaûn naøy
d 9 9
L L 20 10 lg 20 10lg 1 d 1m
d d
   
+
− − = ↔ = + → =

 ÷  ÷
   
Câu 23 :'&!&!83-%X!<!'&!&…/(J@!#N!/h*5ZV/('
;.@!-

# *os
AB
u U c t
ω ϕ
= +
]#

 U
ω ϕ
DE!%m*N

 M 
AN
LC U V
ω
= =
/(
M 
MB
U V
=
X!%O‚
.)
70-;


π
7'/0‚
6
5e RU;‚

+(F
X
C
L
M N
B
A
M
.5
M gV
5
M V
5
M gV
5
M V
Hướng dẫn :

2
L C
LC 1 u u 0
AN AM X
AN MB X Y AN MB Y
MB X NB
u u u

u u 2u u U U U
u u u
ω = ↔ + =

= +

→ + = = ↔ + =

= +


uuuur uuuur uuur
- '‚
6
P‚
.)
/(
.)
+@-;
6
%4

!:!;/h_%<!X/tT! :!5
( )
2 2
AB L X C X AB X
0AB
25 6
PQ 25 6 PI
2

OPI : OI OP PI 12,5 14
u u u u u U U 12,5 14
U 12,5 14. 2 25 7 V
= → =
∆ = + =
→ = + + = ↔ = =
→ = =
Cách 2 : #!(;T! :!*
( )
2
L C
LC 1 u u 0
AN AM X
AN MB X
MB X NB
AN MB
X 0X
u u u
u u 2u
u u u
25 2 0 50 2
u u
25 14
3
u 0,71 U 25 7 V
2 2 2
ω = ↔ + =

= +


→ + =

= +


π
∠ + ∠
+
↔ = = = ∠ → =
Câu 24 :V@!-

osu U c t
ω
=
#‚

/(
ω
DE!%m*/(';'&!&%X!1CDE!%!
<W!83-/0J@!4@!1!%#;m_*5ZP

NO!%1H!%@! '!%&
70-;T!+(

ϕ
#



π

ϕ
< <
*/(@!-@1J!%;!1C+(M]5ZP

NO!%
1H!%@! '!%& }-;T!+(
 

π
ϕ ϕ
= −
/(@!-@1J!%;!1C+(M]5e R
U;‚

%!% R!('!f7;CF
.5]5]5kM]5gM]
Hướng dẫn :
( )
( )
( )
( )
( ) ( ) ( ) ( )
C0
C0 L L
Z
X Z Z ;Y Z
3
2 2 2
2
2 2

2
1
2
C0C0 L
L
2
1 2
C0 L
2 2
C0 L 0
2 2
L
I
135 3U U
3 8R 9Y X 1
45 I
ZR Z Z
R Z
3
tan .tan 1 R X.Y 2
4Z 10Z
X 9Y
U 3 2U
1 2 Z 5R 135 R Z U 45 2 V U 90 V
2
R 3Y
R Y
Z 2R
 
= − = −

 ÷
 ÷
 
= = ↔ =       → + =
 
+ −
+ −
 ÷
 
ϕ ϕ = ↔ =

=


=
→ ↔ = → = + = → = → =
 
=

+

=

Câu 25 :;&1;'!%@!A+‰Y!%;!%41;'!%@!A>1'5@!GU;J@! '!%
&1;'!%[!f/([;+!+_+(Q

/(Q

/0
  g

 
 5q q
−
+ =
QG!9S!%5ŠO=
M√
M√
Y
U
uuur
‹


K
$
w

@!GU;J@!/(O!%1H!%@! '!%&1;'!%[!f+!+_+(
k
/(.O!%
1H!%@! '!%&1;'!%[;4+0!9S!%F
.5.5.5.5.5
hướng dẫn :
( )
( )
2
9 2 17 9
2 2
dhpt
1 1 2 2 2

4. 10 q 1,3.10 q 3.10 C
8q .i 2q i 0 i 8mA
− − −

+ = → =



→ + = → =

Câu 26 :)8;>U;-@!L';-;/(';'&!&.W!83-
%X@! Yk
Ω
!<4><"/(J@!4@!1!%g
F
µ
5aQ;@! Y!
U;!1CU;-53 ''-4;V->5Z E'Q;/08!

PM
/H!%l-b'V!

P/H!%l-bNE!%7f:JU;'&!&.+(!!;5><"4
% R%!% R!('!C7;CF
.5g555
Hướng dẫn :
Cách 1
( ) ( )
1 2 1 2
1

dd roto
2
KhiP P I I
0 0
2 2
2 2
90
.p
120
90E 120E
E L 0,477
R 90 L 20 R 120 L 15
= ↔ =

ω = π

ω = ω →

ω = π


ω→ = → =
+ π − + π −
:
Cách 2f@!!%@1J!%U;!%X!@!FŒP

ω)Φ

P


π•)Φ

P‚#1' P*
]0•P!-!8Q;U; ''-78V->A
'$

P$

;4F‹


iP‹


iP~‹

P‹

5






*

#
C
LR

ω
ω
ω
−+
P






*

#
C
LR
ω
ω
ω
−+
P~
•*

#Ž





C

LR
ω
ωω
−+
P
•*

#Ž





C
LR
ω
ωω
−+
~
C
L
C
LR














ω
ω
ω
ωωω
−++
P
C
L
C
LR













ω

ω
ω
ωωω
−++
~
**##




C
L
R
−−
ωω
P
*#










ω
ω
ω

ω
−
C
P













**##

ωω
ωωωω
+−
C
~#
C
L
i

*


P





ωω
+
#^*thay số tính L = 0,477H
Câu 27 :@!!`!%_ !A!T-3!D1C!9S!%O!%1C-;/0@7f
 !<+(k•5';'-G@!!`!%n1'a;!@ :!O!%1C/(DE!%/_Q•5)3E!%
7f7o1J!%@!U;D1C!!(`!%•/(%\!%:!@!-Y!T-N@7f !<@!
!`!% :!G!O!%1C4+(F
.5gg•5k•5k•5M•
Hướng dẫn :
Cách 1
g
VE!%78T!%[!% $ O!%1C#-* :J
$

‚ i•$

$

$

‚ i•$

$


( )
( )
( )
( )
t1 1
1
1 1
2
2 2 2
t2 t1 2 2 2 2 2
t1 1 1
2
2 2
2 2 2 2
2 2 2
2
1 1 1
1
P 0,9P
H 90%
P 0,1P
*t ăng hiệusuất nơi tiêuthụ.Gọi hiệusuất truyền tảiH
P I U I
P 1,2P H P 1,2 H H H 1
P 0,9I U 0,9I
1 H I
P I R I 1 H
P 1 H P 2
P 0,1.I I 0,1
I R

Thay

=

= ↔

∆ =



= = ↔ = = =



−
∆ −

∆ = − → = = → =

∆

( ) ( ) ( )
2 2
2 vào 1 H 87,7% hoặcH 12,3% loại→ = =
Cách 2
e?E!%78 !< '!%; O!%_-!7;F
$

j‚ i


P
∆
$

$

j‚ i

P
∆
$

ZE!%fG!m!%QD%<7o@78E!%7f9S!%5
"bF P$

l$
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Pk/($
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v
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P
∆
#*
 ;F $

P$


lk/(

P
∆
P$

lk #*
"b7;F $

P$
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#`!%•E!%7f7o1J!%*
"&4F $

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∆
#*
6VD
R
U

P
P
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=∆
j
R
U
P
P
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k
55

P
PP
P
P
P =∆=∆
 #*
;#*/('#* X93!m;;/-T!% N!F
5k
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
=+−
PPPP
;N_!%@U;$
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F

k
MMM
PP
−
=
/(

k
MMM
PP

+
=
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
k
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PP
+
=
j/(x4$
<
P$

7 ;FP$
<
l$

Pgg•
v]0!%@[!fF

k
MMM
PP
−
=
j/(x4$
<
P$

7 ;FP$

<
l$

P•
Cách 3

Câu 28: '!%C!DE!%!7!%49074!%+0!!f '!%78!7!%a/(!%+;G+(F
.5!7!%/(!%5!7!%G5!7!%+;5!7!%a5
Câu 29:6'!+W+HL'%X/,!a4D8+_!%%/(+HL'
4[!%)l_V :!V-d!%!S!%;!%DE!%;
75],!a;!%!S:!Y/R GC!9S!%&P1J!%+>
‘P)+:!/,!a#N!/h*''!+W1;'!%H;3!O
=

t s
π
=
N!%A!%1J!%+>‘5
;'!%H;U;'!+W7;DDE!%H!+>‘1J!%4% R9:!%!% R!('!f7;
CF
.5k5g5M55
Hướng dẫn :
( )
( )
( )
( ) ( ) ( )
0
2
2
2 2

2
Khicólựcvật DĐquanhVTCBcáchVT lò xokhông biếndạngđọan
F
l A 5 cm
k
T
T t T Khingừngtácdụnglựcvật ở cách VTCB cũ lúccólực
10 3
A 3
đoạn2,5 cm và cóv
2
5 3
2
A' x v 5 2,5 5 3 cm 8,66 cm
∆ = = =
π
= → = + →
ω
=
 
ω
 ÷
 ÷
 
→ = + = + + = =
ω
Câu 30: '!%G!%@ˆC!%/%;'';!7!%9074!%!7!%T!7W+(!D'<!%
%\;;DIs-+(D'<!%AV-d!%[;;DI3!(!+(5Z'<!%/C!Q;!7
_ :!(!4% R9S!%F
.5M555k

Câu 31:6!%X!-74!%1;'!%H;&' ;74!% H!X!%CK ! :!V!0/090
74!%
λ
5;=6/()V!0!S :!;-T!% !74!%(-!o!01;'!%5
3K6P
λ
jK)P
λ
/(K6/E!%%4K)5 :!'&!6)78=(-!o!01;'!%!%_
-;/01;'!%U;!%X!K+(F
k
F
ur
.5M55g55
0!%12!
( ) ( )
( )
( )
2 2 2
GiảihệBPT
1 1 1 24
OMN vuông OH
OH ON OM
13
24
d 2k 1 8
2
2 d
13
2k 1 d 2k 1 có6giátròcủa k

2
24
d 2k 1 12
2
13
∆ → = + → = λ

λ
≤ = + ≤ λ

π λ

= + π → = + → →

λ
λ

≤ = + ≤ λ


Câu 32:;!('7;CDE!%-<+(;-4!%L&F
.5;
γ
5;
β
+
5;
α
5;…5
Câu 33:6&4D8+_!%!%n


5I'3T!%8D8+_!%!%#D8+_!%T!%8G!*
U;&!(D=!!%/08#+(8!7!% '!%C!DE!%*+(F
.5gM

5M

5

5M

5
Câu 34:6/,!aD8+_!%%1;'!%H;/0DN7/(T!`!%+(q#83!`!%
&/R GC!9S!%*j+f


π
=
5&+
 cm
n78!%!`!%/(3!`!%+(F
.5555
Hướng dẫn :
( )
tạiđó
2 2
đ
t
W
1 A

W m A A 6cm x 3 2 cm 1
2 W
2
= ω → = → = = → =
Câu 35:6+H-<![!%-C!&4E!%7f6u5' S!%'(!9!`!%+_!%(+H-<![!%!(
7! ;1'7>-C!&U;
M
‚/(X!%/R!(n9R:;'9YQ N!-C!&5'‡!`4
M!%(j‡-C!&7! ;6I]j78./E%; ')
.
P5

'+

5Z8+_!%
M
‚(+H-<!
[!%:J '!%!`+(F
.5%5D%5D%5%
Hướng dẫn :
( )
6
26
13
A
P.t 200.10 .3.365.86400 N
N 5,913.10 m .235 230,8 kg
E N
200.1,6.10
−

= = = → = =
∆
Câu 36:e?6)‹+(= :!+HL'!s_ I'd!%[!%Y=K8R!5Z+HL'4
1(>!:!NK6P6)P)‹P5eW!/,!a/('10‹U;+HL'/(DGG=/,1;'
!%H;I'-T!%d!%[!%5 '!%Q N!1;'!%n78+0!+>Dt'+0!!f/(+0!+>
Dt'!a!f1J!%+:!K9S!%j+HL'%x!jD'<!%+0!!f%\;;=6/()+(5
"f


π
=
5],1;'!%/0!78+(F
.5kB5MB5MB5gB5
Hướng dẫn :
( )
( )
( )
( ) ( )
0
max
min
0
0
2
0
k l A
F
3
g
F

k l A
l 4 cm 5 10 5 f 2,5 Hz
Lò xodãn cựcđại l A 2.3 6 cm

∆ +

= =

∆ −
→ ∆ = = → ω = = π → =

ω

= ∆ + = =


Câu 37:6/,!a1;'!%H;I'-T!% N!
'7x A t
π
=
#G!9S!%7*5G!APjD'<!%
O%;!!%W!!f=%;8U;/,4+0!9S!%!o;+0!%;8>&+(F
.57575g75M7
Câu 38:e<7o/@!1c!% '!% !E!%;!%[!%:!7'/0VfY;'LR!
 '!%V-d!%…G&' fjO!%d!%!8/@!/0C fQ;D!3!78*5' 
f!Q<9!DG!+(gDjD8+_!%+(5

D%/(DNQ;Q;! JU;!4+(j
S!%78f-12!ePg5


)5

lD%

54!%>!%W!•~6B-A/@! !d!%3!=
!S :!…G&' f '!%D'<!%D!!('10CF
.5AD!M


’
3!D!M


’
5AD!gk


’
3!D!Egk


’

5AD!


’


3!D!



’
5AD!


’
3!D!


’

K
6
)


Hướng dẫn :
]@!+(]@!R;“!+>f-12!+(+>0!%
C!:!;


 5
5# * kgMg5
 # *
 
+ = → + =
 ÷
+
 

thay so
G M
R h R h
R h
π
/0+(;'U;/!7'/0Vf5
]c!%-U74!%!S '!%!%\;;3-3!D”A/@
!/0 f5
A4G!_
 •
 
R
cos
R H
β β
= ⇒ ≈
+

Câu 39: '!%G!%@/%;'';74!%!0;!%X!D3_-K

/(K

1;'!%c!%-;c!%
9:!5?!@ J?;/E!%%4LKV!0/0%8?;+(/R GV!%X!K

H!!%X!
K

!S :! J'ˆ5;=$/(w!S :!KL4K$PM/(KwP5R=!!%X!K


 :!
 JK3!/R G7;''%4$K

w4% R+0!!fN-!o!0&$DE!%1;'!%H!-!o
!0&w1;'!%/09:!>&53%\;$/(wDE!%H!>&!('D5 :!'&!K$=
%!$!f(-!o!01;'!%/09:!>&$'&!+(F
.555M55
Hướng dẫn :
- Gọi PO
2
Q = φ = φ
2
– φ
1
( )
2 1
2 1
2 1
cosi
1 2
tan tan
tan tan
1 tan .tan
8 4,5
3,5
y y
8 4,5 36
1 . y
y y y
3,5

tan y 6 O O
2 36
ϕ − ϕ
ϕ = ϕ − ϕ =
+ ϕ ϕ
−
= =
+ +
→ ϕ ≤ ↔ = =
( )
( )
2 1
2 1
vìP,Q thuộccựcđạivàcựctiểucùng bậc(thu)
1
2 1
2
2 2 2
1
2 1
O P O P 2k 1
Dó:
2
O Q O Q k
k 1
2 cm
Điểm cựcđạigần P nhất thuộcO P ứngvớik 2
d d 2. 4
d 6,5
điể

d 2,5
d d 6

λ
− = +



− = λ


=

→

λ =


=

− = λ =

=
 
→ → →
 
=
− =





( )
1 1
m đócách P đoạn x O P d 2 cm
= − =
Câu 40:@!!; ;!>!:![;;X!%/R-4!%L&
M
‚/(

‚/0n+@78&
M
‚/(78&

‚+(
gl53DG9! xU;
M
‚/(

‚+!+_+(g5

!`/(M5
k
!`5C9;'!:!`
 ;!>!:!4–+@78&
M
‚/(78&

‚+(l—
.5gn!`5gn!`5n!`5Mn!`

Hướng dẫn :
( )
1 1
2 1
2 1 1 1
1 2
2 1 1 2
1 2
2 2 1 1 2 2
t
t
01 011
t t
2 02
02
t
t t
t
01
t t t
02
N e N
N
7 7e
N 1000 N
N e 100e
N e
3 7e e 3 30
* e t 1,74
100 100 7

N e 100e e
−λ
−λ
−λ −λ
−λ
−λ −λ
λ −λ ∆
−λ −λ −λ
= = → =
= ↔ = ↔ = → ∆ =
]@
!

i
β
$ w
L

K

K

1
$
1
w
˜

˜



II. PHẦN RIÊNG (10 câu) Theo chương trình chuẩn.
Câu 41: '!%G!%@/%;'';74!%!0;!%X!74!%D3_-1;'!%c!%-;V&;
=./(!;54!% ! :!V!0/09074!%5 :!'&!.78=(&
4-!o!01;'!%/09:!>&+(F
.5k5555
Câu 42:>@!G!%@ˆC!%/%;'';/0!7!%49074!%
λ
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9Y!\!%D'<!%85
5w;!%-m/&-L&U;!%:!84;?D!;ND!;5
5w;!%-m/&-L&1'f W!'Vf+a!%- ;D9R!!%!4!%5
5 '!%Q;!%-m/&-L&U;!%:!o1 'Y/c!%!7!%!N!f498!/&V
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Câu 44:'D8+_!%U;&- ''!!' '!/(&T: 
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Câu 45:V@!-
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Câu 46:e<7o!%X!7!%n- ;!7!%T!7W4!78gM5
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 V
Câu 48:6/,1;'!%H;/09:!/(DG75wx!%O!%/,_ '!%7+(F
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Câu 49:6&1;'!%"+‰Y!%;!%>@!1;'!%@!A>1'53@!G>&U;
J@!+(Q
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Hướng dẫn : Dùng hệ thức độc lập giữa i và q.
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