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Đề thi HSG + lời giải lớp 12 Hải Dương môn vật lý

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SỞ GIÁO DỤC VÀ ĐÀO TẠO
HẢI DƯƠNG
________________________
KÌ THI CHỌN HỌC SINH GIỎI TỈNH HẢI DƯƠNG
Lớp 12 THPT năm học 2013 - 2014
Môn thi: VẬT LÝ
Thời gian làm bài: 180 phút
(Đề thi có 4 câu và gồm 02 trang)
___________________________________________
Câu 1 (2,0 điểm).
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bBClAB == 
 !
!"#$% &'() *+ &'(
(!",-!!&*+.*/!01$23
4 ".
B
$51$6 &'(78++
91:5) *+.*/$;<,
=/!> ?8!@
A=t
/84B,
8,C47D1!E*F@G!H4 I8
5!J>0%?!I678++
!:6$6:$5!K*6*8
L.*/,M $6:I8$%E
L8*8*#!N:I8$.8
*8L.*/O
?,C47D!% .$E7#$%1!H4 P,Q4N?
!I6!>5*8L.*/*+RJ*>!,S*TUV
6(!".*#VU:$W*?8!@I8:,N*+RJ


*>!:5>!$%+$X1.*/,YN
'3*>!I8O
C4N5?W?N:*+RJ*>!,
Câu 2 (2,0 điểm).
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$7J'( L8+< !&$51$6
*TI8Z) *#*TJ
Z +4?)<[ \$;],
8, ^J!W$W*Z0$%!8+I8
4,Y;4,
?, _>!48+?)?@$'4W>$S`+*T.$W
*?8!@! +4?8+#`+0%+O
, _>$F$W*JZ<[ $%$!W,+Z>
!WN*8V8$S`+*T78++*T58!K,-Z
J$][ Ra!/ %4!a!!*+RJ**#%?8+
#O
Câu 3 (3,5 điểm).
1. 8$L@%
<

]
$%
b
$6
gam
m
mm <AA
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!"@
<

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$6
mN
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,M:
$W*?)?8$X) *# !/()
ĐỀ CHÍNH THỨC
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]
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V6U:$W*?)/8
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?,M+4J6Z8
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*+RJ*8+!,
,YN'3*8+!I8$
b
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2.+jcV+1!" 
mNk deA=
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8,M!I8$i8I81!K0@"e,
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Câu 4 (2,5 điểm).
M*# &ZL:8!> $%!&8f718+!`+'3
(  !"  $6  '3  *  8+  !  @    %g 
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B
,N!*071*# &ZL%eA d7$%?#!
7158!K*+RJ*71*0,
1.+
cmAB ]A=

mma h
<
=
$%
mma bh
]
=
8,YN'3*71:*!> UI8,
?,M 7!> 8+!$6?#!H!:*#!+:,
2.+

λ
m[h=AB
$%
aaa ==
]<
,M*#!+:18!> $%g) *#
!+:U) *#!+:U$6
λλ
[] == DOCO
,\aVJ!W7!> $%$W
*!> @Z8+!$6?#!H!:$%X'8$6f*#!+:,
___________ Hết ___________
\S$%#7g,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,n?J+8g,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
J W<g,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,J W]g,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
SỞ GIÁO DỤC VÀ ĐÀO TẠO
HẢI DƯƠNG
____________________________
HƯỚNG DẪN CHẤM KÌ THI
CHỌN HỌC SINH GIỎI TỈNH HẢI DƯƠNG
Lớp 12 THPT năm học 2013 - 2014
Môn thi: VẬT LÝ
(Đáp án gồm 06 trang)
________________________________________________________
Câu Ý Nội dung Điểm
Câu 1
(2,0
điểm)
a
o-*3*+8VZE7Z!E!4
"g

Bvle
C
=
o/!c!E*+g
R
Bvl
R
e
i
C
==
o5WJTH.PH.JT#:
$%?)PH.JT#6(!".
6#$%1!6g
R
vlB
BilF
t
]]
==
A][
oM`+!Wppk3g
maFmg
t
=−
-!:$6:g
A=a
n*8g
]]
lB

mgR
v =
A][
oq'T!W?4++%r+RJ*>
!I8.i?8!@!N$.8*8L.
*/g








−=−=
ee
]]]
]
]
lB
gRm
bmg
mv
mgbQ
A][
b
o-*3*+8VZE7Z!E!4
"g
sBlxBvle
C

==
onZ!E!H4 *+g
sLie
tc
−=
oM`+!Wt g

const
L
Blx
i
L
Blx
i
dt
d
LiBlxee
tcC
=−⇒=






−⇒=⇒=+ AssA
A][
oSS8!U*X$6$W*?8!@I8*S
oM:
L

Blx
iconstxit =⇒=⇒=== AAAgA
A][
oPH.JT#:g
L
xlB
BilF
t
]]
==
oM`+!Wppk3g
maFmg
t
=−
mL
Bl
tA
lB
gmL
x
lB
gmL
x
mL
lB
xma
L
xlB
mg
=+=−⇒

=






−+⇒=−⇒
ωϕω
+7
Ass
]]
]]
]]]]
A[
oM:





=
=






=−==

=+=
=
]]
]]
A7s
A+7
gA
lB
gmL
A
Axv
A
lB
gmL
x
t
πϕ
ϕω
ϕ






+









+=⇒ <+7
]]
π
t
mL
Bl
lB
gmL
x
oY'3*>!I8SU:
$W*?8!@I88g
]
<+7
]]
b
t
mL
Bl
lB
gmL
x −







+








+=
π
A][
Câu 2
(2,0
điểm)
a
o
u <[,<A
s bA
 u <[ <A
= = =
− −
vAgwJM-bA
o
]
s
−=−=
d
d

k
xAgw0$1!8+]
A][
oY;g
A][
b
o
e
s
±=

=−=
df
f
d
d
k
 A][
okNye
cmd [m=
zzvW$:@M-m[
okN
cmd [<]=
zzvW$:@M-][
A][
{|
{
U
p



|
|
c
oYJ*WI88!K.<[ !N][ 563u+
!1$5+4
o-+4J$z4g
As
]
=+−⇒

+=+= LfLdd
fd
df
dddL
A][
o}3**#1E g

]

P ePu A PP eu  A P eu eA P eA
∆ = − ≥ ⇔ − ≥ ⇔ ≥ = ⇒ =
Z~y•V4*8
cmd ]AA =⇔=∆
$%
cmd ]As=
A][
o8!@
cmd <[
=


cmL e[
=
zzv-M-W*8V8$
4W>:@$!N
eA]A

cmLcmd ==
,-
!14W>!
cmS [
<
=
,
A][
o  n8  !1  4  W  >  *8  V8  $  !N  
bd<][][ cmLcmd ==
,  -  !1  4  W  >  #
cmS bd[
]
=
oYRa!/4!!*+RJ**#%
8 < ]
]A
n n n  hhm
b
= + = =
A][
Câu 3
(3,5

điểm)
1.a
o€
<
y€
]
y€
b
y
<
<
m
k
y]A*8d7
o}3*8+!I8
<
gV
<
yb+7]Ao
]
π
 
o}3*8+!I8
]
gV
]
y<[+7]A 
A][
o1
πωϕ

π
=∆=∆⇒=∆ tt ,
]A
o8+!I8$<76 '837+$68+!I8$]
1
]
π
,%$:76 '87+$6!<1
]
π
,
A][
o+!1YI8$]F/!> 
]
t
'8$6!
I8$<F/!> 
<
t
,n*8g
]]
<
]
<
ω
A
A
v
x
=

scmv d]A
]
=⇒
A][
1.b o-+4J]$`+'3(!"g
cmxxxx [[<
8V]<
=∆⇒−=∆
A][
o-+4J6Z8]$g
cmxOOL hmbh[<
]
8V
]
]<
≈=∆+=
A][
1.c
oM81gU
<
U
] 
yU
]
U
b
$%b$5X) *# !/
(•
]
b<

]
xx
x
+
=
8V
b
y]V
]
‚V
<
A][
oX'3'J'4!f{*`z`g
]
<]b
AAA

−+=
A][
oM.4!f7*8g

b
y
]
<
]
]
] AA +
yb
]


ƒ
b
yz„de*8
•V
b
yb
]
+7]Az
e
π
 
A][
2.a
oPi1 87J:YMI8$cV+?N: !+:g
mmm
k
mg
xOCOC eAAeA
A]<
=====
µ
\nd !M
A][
oC8I8$!K0@"e"$6$!R8YM

]
`+078*J@"]J'T!W?4++%r
8!g
mgS

mv
kx
kA
µ
++=
]]]
]
]
A
]
A][
on8 …D88+!YM?#N:@Ug
mmx †]
A
=
zzv
AAAAA
][m],b]],]]]] xAxxAxAxAAS
−=−−+−+−+=
smvmS dee<hA =⇒=
A][
2.b
on8<]D88+!$FYMJUg

AA
eAeA,]e<A],<] xcmxA ==−=−
A][
on8<]D88+!$FYM?#*X$6YM
<
#$.::$W*!1,

A][
oq'T!W?4++%r81g

mSmgS
kx
kA
]e†<ss
]]
]
A
]
=→+=
µ
A][
Câu 4 1.a
o671
cm
f
v
e==
λ
A][
(2,5
điểm)
o}3*71:U+JfD!N%
mmtu
AO







−=
e
<A,]
]A+7h
π
π
$%
mmtu
BO






−+=
e
<A,]
]
]A+7bh
ππ
π
A][
o}3*71K':U
mmtuuu
BOAO







−=+=
b
<e
]A+7<]
π
π
A][
1.b
o^2!> *#g
]<
 dMBdMA ==
o
( ) ( )
]]
]
]
]<]<
dddd −
+=

+=∆Φ
π
π
λ
π

π
A][
o_>8+!$6?#!H!:g
( )
<e]
]]
]<
]<
cmkddk
dd
−=−⇒=

+=∆Φ
π
π
π
A][
o*#g
ed]<ed<‡
]<
≤≤−⇒≤−≤− kABddAB
zzv1<A
!> 8+!$6?#!H!:*#,
A][
2
o^2!> k*#g
]<
 dNBdNA ==
o}3*71:k+JfD!Ng
mm

d
tau
AN






−=
λ
π
π
<
,]
]A+7
mm
d
tau
BN






−+=
λ
π
π

π
]
,]
]
]A+7
o}3*71K':k
mmddtddau
N






++−






+−=
e
]A+7
e
+7]
]<]<
π
λ
π

π
π
λ
π
1
λ
m[h
]<
==+ ABdd
k#g
mmtddau
N






+−






+−=
]
m]A+7
e
+7]

]<
π
ππ
π
λ
π
A][
o_>k8+!$6?#!H!:$%X'8$6g
( )
e
<]<
e
+7
]<]<
λ
λ
π
λ
π
−+=−⇒−=






+− kdddd
A][
ok*#g


<][]bm[<
]<
≤≤−⇒−≤−≤− kBNANddBMAM
oY1e!> 8+!$6?#!H!:$%X'8$6
*#!+:,
A][
o1





=+
−+=−
ABdd
kdd
]<
]<
e
<]
λ
λ
( )
]
<]
†]
]
λλ
+−+=⇒ k
AB

d
cmd e
]
==⇒
λ
A][
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