CHƯƠNG 1: ĐỘNG LỰC HỌC VẬT RẮN
Chủ đề 1. Chuyển động quay của vật rắn quanh một trục cố định
Dạng 1: Tốc độ dài
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II.3 @$89?-ω:A%;,(% *
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II.6 "H"<OP,-C&*Q-R"-,B
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Dạng 2: Tốc độ góc
II.10 DE!;=$I"#$12 "'(*+$DE
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II.11 DE"#$!7C(*3Y>NT;=DEYO
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II.12 (CĐ - 2011 L "H;F!;=$ID<"H*.;<"H;F
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II.13 ,B!;=$I"#$ &;,(
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4
II.14 (ĐH - 2008) : "H;F;=$I"H@;J.
7
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II.15 DE%"#$89%;,(
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II.16 (CĐ- 2007)0+.: "H;FFB;=$ID<"H
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II.17 DEFB,B!;=$I*g4 .T?)F
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II.18 DE,B!;>%$ _T47 "'()?<12 "'()*
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Dạng 3: Góc quay
II.19 PB<FB,B;=$IP"#$
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II.20 DE,B!*U)BDE!"#$&;,(*g_
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II.22 +.: "H;FFB;=$ID<"H"#$
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II.23 "H;F;=$ID<"H"#$7 ;,(JFB
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II.24 DE,B!T;<7$4 ;,(*W-
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II.28 DE!;=$I"#$12 "'(*+;>4&
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II.32 ĐH 11 "H;F,B!;=$I*+: $"H?-ω
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II.33 (CĐ - 2012):"H;F,B!T;`;=$I
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Dạng 4: Gia tốc
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Dạng 5: Góc quay - Số vòng quay
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II.53 G@;J$"H;F;=$I?-
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II.54 G@;J$"H;F;=$I?-
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Thời gian
II.55 P-$B47 ;,(*mH,B!"#$89%
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II.57 (CĐ- 2008):DE"#$7%;,(JIh*3DEH,B
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Dạng 6: TỔNG HỢP
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7
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7
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7
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Chủ đề II. Phương trình động lực học của vật rắn quay quanh một trục cố định
II.73 -,YP.8;=b
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A. * 3*4&(* 5*7 (* 6*4 (*
II.186 ĐH 10 ^.,>!'"#J+*+;>>NF^T
"I;<?D:lY"I;
7
A
x −=
^.$;J?-
A.
T
A
7
1
* 3*
T
A2
* 5*
T
A%
* 6*
T
A
7
A
*
II.187 Ky!+QŒG3ŒU•Q7Œ7 CL"H,>!'E>@„D"#@;JD:
2>K%−π(7LKL*
W$"H;I?#^?-
A.
4&(
7
* 3*4%%(
7
* 5*A2(
7
* 6*7%(
7
*
II.188 ĐH 12 ^.,>!'"#J+*WZ"
+3
?-$;J^.
;>J"?-$^.*+;>J>N-
%
TB
v v
π
≥
?-
A.
2
T
* 3*
7
1
T
* 5*
1
T
* 6*
7
T
*
Chủ đề 4: Phương trình dao độngđiều hòa
II.189 +UlV7 47V"H,>!'"#<l:%"-J+:7Z$?-
?)"Hp+53E>!,@*G@;J,>"H?-
A.
cmtx L
7
>K%
π
π
+=
5*
%K7 L
7
x t cm
π
π
= −
B.
cmtx L
7
7K%
π
π
+=
6*
cmtx L
7
>K%
π
π
−=
II.190 ĐH 11 ^.,>!';<;=„D*+;>14%^.\
S4 ,>>-B*W$?-?)^."I;?7E>!M"#
$?-
% 1
(*U^π:14%*G@;J,>^.?-
A.
D 2>K7 L KL
2
π
= −
*5*
D %>K7 L KL
1
π
= +
*
B.
D %>K7 L KL
1
π
= −
* 6*
D 2>K7 L KL
2
π
= +
*
II.191 +9_?S"H,>!>-Ž:1*4
V&
~?\\,=?<"H4&*4
V1
Q*5q,>+:7B
1
π
@;J,>"H,->M*
A.
7>K LK L
1
x t m
π
π
= +
5*
%>K LK L
1
x t m
π
π
= +
B.
7>K LK L
1
x t m
π
π
= +
6*
%>K LK L
1
x t m
π
π
= +
4&
II.192 "H,>!'"#J+:14%*iI,>"H"I;D
:7"#"H$": %(*
A. * 3*
%
π
;,* 5*
2
π
;,* 6*
1
π
;,*
II.193 +UlV7 44V>?F?'D>;E>b,>!>-"#J
π
(4 <
&*5Z;=„Db$„"I;M!,@#?<$"H
"I;?\-];I\.E>!,@*G+,>"H,->Mf
A. D:&>K7 r7
π
(1LKL* 5*D:&>7 KL*
B. 5*D:&>K7 v
π
(1LKL* 6*6*D:&>K7 r
π
(1LKL*
Chủ đề 5: Thời điểm vật đi qua vị trí M và thời gian vật đi từ M đến N
II.194 "H,>!'"#q+:7*+F^."HT.?D
:r
7
Α
Y<.,@3KrlL?-0
A. 7&* 3*
47
4
* 5*
2
4
* 6* 1&*
II.195 Ky!ydŒ7 L^.,>!'E>@;JD:1>K&π−π(1LKD
L*+;>MB<.T?): *5^."I;?D:r4
A. C?B* 3*2?B* 5*&?B* 6*%?B*
II.196 +UlV7 44VpH,>!'@;JD:%>K7
π
r
π
L"H"I;M
?BA"->?)->f
A. A7&* 3*%7&* 5*A&* 6*%&*
II.197 +UlV7 47V"H,>!'@;JD:&>K7
π
r
π
(1LKL*p->
.
4
"H"I;?D:1.E>!M*de"->.
7
:
4
r&7&KL
"H?"-!.->f
A. D:1
1
"• * 3*D:V%"• *
5*D:%"• * 6*D:1
7
"• *
II.198 ^.,>!'"#@;J0D:&>%cKL*iI."H
"I;?D:V7&?B7 47*
A. 1 4C(2KL* 3*1 4C(1KL* 5*& 1KL* 6*1 4&(2KL*
II.199 ^.,>!'"#@;J0D:%>K%crcLKL*iI."H
"I;?D:V7?B7 47*
A. 2 1&(47KL* 3*2 1C(47KL* 5*& 1KL* 6*2 1&(2KL*
II.200 +UlV7 47V"H,>!'@;JD:2>K
π
r
π
(1LKL*iI
."H"I;?D:1
1
?B7 47*
A. 2 1&(2KL* 3*47 C4(2KL* 5*7 47KL* 6*2 C4(2KL*
II.201 ĐH 11 ^.,>!'E>@;JD:
7
%>
1
t
π
KD•
L*k.T: ^."I;?D:V7?B7 44.
A. 1 4&* 3*2 1 * 5*1 42* 6*2 14*
Chủ đề 6: Quãng đường vật đi được trong một khoảng thời gian
II.202 +UlV7 47V"H,>!>-"#@;J,>D:2>K
ω
r
π
(1L*g
C(47KL.T?)FB"HS>4&*+>S?#^;>
>N4(1KL
A. 47 3*2
1
* 5*1
1
* 6*2
7
*
II.203 (CĐ - 2008 ):"H,>!>-,ZE>;=„D"I;M„"#<l
"-q+*+;>>N+(%h?#^-"H.S?-
A. l* 3*1l(7* 5*l
1
* 6*l
7
*
42
l
4
l
7
„
D
II.204 Ky!+QŒG3ŒU•Q4Œ7 CL^.,>!';<;=„D"#q+*pI;
M^.;j"#$Z>NF^.T"I;?D:lY
"I;?D:l(7?-
A. +(2* 3*+(%* 5*+(1* 6*+(7*
II.205 (CĐ - 2007): "He,>!'<lJ,>+/.
B
>
: "H/"I;<*mh-"HST.BY.:+(%?-
A. l(7* 3*7l* 5*l(%* 6*l*
II.206 "H,>!'"#B$&d‘*+F^."HT"I;?D
4
:
V &lKl?-<,>LY"I;?D
7
:r &l?-
A. 4(4 * 3*4* 5*4(7 * 6*4(1 *
II.207 "H,>!>-"#<%>N4(%MJ_
?Y_*mh?#^-"HS;>>N4(2M?-
A. * 3*2* 5*7* 6*%*
II.208 "H,>!'"#J7<%*+F^."HT"I;M
Y.?7?-
A. 4(1* 3*’* 5*4(2* 6*4(%*
Chủ đề 7: Năng lượng
II.209 +UlV7 47V+;>q+.?#$"H,>!'<
l8?#@4 l
1
?-7+(1*de_Y<!'B$><fK?^
π
7
:4
L
A. 4d‘* 3* &d‘* 5*
7
d‘* 6*%d‘*
II.210 Kyd7 CL"He\,>!>-E>@;JD:4 >K%πrπ(7LKL
"#M*y_"HY<"#J
A. & * 3*4& * 5* 7&* 6*4 *
II.211 Ky!5yŒ7 L5^.$?S
4
:& ,>!'"I;M
"#@;J,>
4
D >K& LKL
2
π
= π +
*5^.$?S
7
:4 ,>
!'"I;M"#@;J,>
7
D &>K LKL
2
π
= π −
*+`$@_
;>;J,>!'^.
4
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7
A.
4
7
* 3*7* 5*4* 6*
4
&
*
II.212 ĐH 11 ^.,>!';<;=„D"#<4 J7*$Y_
/"I;M*+$;J^.;>>NF^^.T"I
;_1?BY_Y"I;_
4
1
?BY_?-
A. 7247(* 3*C17(* 5*4%2%(*
6*74A2(*
II.213 ĐH 12 d^."-Qj$?S,>!'
jB$,ZE>b>>!"->>"#;=
Z„D*pI;M"-Q!/;<b
Z"-"8"#„D*3<?-2Q?-*+;>
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$Y_"I;M*•.-_Y_` $
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A.
%
1
* 3*
1
%
* 5*
A
42
* 6*
42
A
*
II.214 (CĐ - 2010): "H,>!',ZE>;=„D*$Y_/"I;M*•
.?#"H$"H& “"H$\J`$t_"-@_"H?-
4C
A.
1
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4
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%
5*
%
*
1
6*
4
*
7
II.215 (CĐ - 2010):"H,>!'"#<2*$Y_/"I;M*k"H
_
1
%
?B@_J"H"I;M>*
A. 2* 3*%&* 5*%* 6*1*
II.216 (CĐ - 2012L: "H,>!'"#<l"-@_”*$Y_"H/"I;
M*k"H"I;?
7
1
lJ_"H?-
A.
&
A
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%
A
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7
A
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C
A
”*
Dạng 2: CON LẮC LÒ XO
Chủ đề 1: Chu kỳ - Tần số- Chiều dài- Khối lượng- Độ cứng- Thời gian
II.217 >?F?'D>$?S:47&:& QK?^π:14%Lq>?F?-
A. 14%* 3*14%* 5* 14%* 6*7*
II.218 K7 L>?F?'D>]"Ha$?S% "-?'D>% Q(*5>?F
-,>!'"#J
A.
.
5
s
π
3*
5
.s
π
5*
1
.
5
s
π
6*&π*
II.219 5>?F?'D>?-4&,>^C&*5q,>?-
A. &* 3* 7* 5*4* 6*47&*
II.220 5>?F?'D>]"Ha;E>,#?'D>,-q,>?-+*QY?'D>IF#
‚Jq,>>?F#?-0
A.
7
T
* 3*7+* 5*+* 6*
7
T
*
II.221 k;E>"H"->B4?'D>?'D>h;<4 K?^:4 (
7
L*5q,>
"H?-
A. 14%* 3* *4&* 5*4* 6*C*
II.222 >?F?'D>*QY$
4
Jq?-1*QY$
7
J
q?-%*QY]7$
4
"-
7
Jq?-
A. 7&* 3*1&* 5*4* 6*&*
II.223 5>?F?'D>,>"#<l*+F^.'T"I;MY.
?D:l
7
7
?- 7&*5q>?F0
A. 4* 3*4&* 5* &* 6*7*
II.224 ĐH 10 >?F?'D>,>!'"#J+"-<&*3Y;>J
>N."He>?F?#$8"S
( )
7
(4 scm
?-
1
T
*U^
4
7
=
π
*
+B$,>"H?-
A. %d‘* 3*1d‘* 5*4d‘* 6*7d‘*
II.225 (CĐ - 2007)0>?F?'D>]"H$?S"-?'D>89,>
!>-*QY$?S:7 JJ,>>?F?-7*y.J>?F?-4J
$?S
A. 7 * 3*4 * 5*& * 6* *
II.226 (CĐ-2009):>?F?'D>K?'D>?-& Q(L,>!'E>@
*5 &J"Ha>?F?"I;M>N•*U^π
7
:4 *k$
?S"Ha>?F
A. 7& * 3*4 * 5*7&* 6*& *
4
II.227 (CĐ-2009):>?F?'D>;E>b,>!'"#J %*k"H/"I;
M?'D>,-%%*U^:π
7
K(
7
L*5!,-\<?'D>?-
A. 12* 3*% * 5*%7* 6*1*
II.228 5>?F?'D>B$?-7d‘$?S4 K?^π
7
:4 L*y?'D>?-0
A. 42Q(* 3*4 Q(* 5*42 Q(* 6*7 Q(*
II.229 ?'D>$?S8.!,-\<?
S;E>"->.$I*
+;E>"->?'D>"H$?S
4
:4 J,-?'D>?-?
4
:14*+;E><"H$
?S
7
:4 "->?'D>J,-?'D>?-0?
7
:17*U^:4 (
7
*y?'D>;I
->M0
A. 4 Q(* 3*7 Q(* 5*7& Q(* 6*& Q(*
II.230 +UlV7 44V?'D>}B$IB;E>"Ha$?S:4 *k
"H,>!>-."H,.T"I;^^Y"I;>^?- 7&•?^
π
7
:
4 *y?'D>?-0
A. 2%Q(* 3*17Q(* 5*7&Q(* 6*42Q(*
II.231 ĐH-09. >?F?'D>$?S"He?-& *5>?F,>!'E>;=$
I"#@;JD:l>
u
*5t>N &J_"-Y
_"H?*U^
c
7
:4 *U'D>>?F
A. 7&Q(* 3*7 Q(* 5*4 Q(* 6*& Q(*
II.232 >?F?'D>;E>bM?'D>,h>27&:π
7
(
7
*5J
,>!'>?F?-><Mf
A. 7&* 3* * 5*47&*4
V7
* 6* &*
II.233 "H;E>"->?'D>?-h;%*U^c
7
:4 >:4 (
7
*+B$,>"H
?-
A. 7&d‘ 3*& d‘* C.%&d‘ 6*7 d‘*
II.234 d?'D>$!,-\<?
:7 :7 Q(O$Y"#
;];E>b"->.$I*+;E>"->B,#"Ha:7 ;]
>"H,>"#<7*U^:4 (
7
*5!,-$"-$.?'D>;>;J
,>?B?S?-*
A. 7%"-7 * 3*%7&"-1&* 5*71"-4A* 6*%%"-% *
II.235 >?F?'D>b]"Ha$?S4 "-?'D>}:
4 Q(*kO>"HD$,#E>@bY"I;?'D>,h%;];!>"H
$
scm(%
π
E>@bT,#?<*5>"H,>!>-E>@b*
+F^."H.T"I;^^Y"I;?'D>IO4&?-0
A. 7* 3*
s
4&
4
5*
s
4
4
6*
s
7
4
II.236 >?F?'D>;E>b]"H$?S
7& "-?'D>}4 Q(*k>"H,>
!>-E>@b"#<&*+
?'D>Ih;>J?-
A.
LK
4
s
π
* 3*
LK
4&
s
π
* C.
LK
&
s
π
* 6*
LK
1
s
π
*
Chủ đề 2: Biên độ và pha ban đầu
II.237 k"I;M'4>?F?'D>"H$4 (*U): '/<
.3nKD
3n
:VlL"-$7&(
7
*3<"-B>?F?-0
A. &•Vπ(7;,* 3*%• ;,* 5*2•rπ(7;,* 6*%•Vπ(7;,*
II.238 5>?F?'D>:A Q($?S: Sa*"<$
?S:4 "#"H$"
:4(,ZE>;=?'D>YFa"->*3<"-B$
,>>?F?-0
A. 7•4 ;,(* 3*%•%;,(* 5*%•7&;,(* 6*&•7;,(*
4A
II.239 >?F?'D>]"H$?S:4 ;E>"->B?'D>:4
Q(*k"H,>*+;>;J,>"H"H$\27(*U^c
7
:
4 *3<,>"H?-0
A. 4* 3*7* 5*CA* 6*7%*
II.240 5>?F?'D>;E>b"I;M?'D>,h{l*k.Na,>!
>-E>@b"#J+*+?'D>IO;>J?-
+
%
*3<,>
"H?-
A.
1
7
{l* 3*
7
{l* 5*7*{l* 6*4&*{l*
II.241 "H;E>"->B,#?'D>bB;<?'D>;E>"->.$I*+T"I;M
O>"HD$>1;];!"H$"
b#?<*pH?<S;#
D$*3<,>"H?-
A. %* 3*44 5*&* 6**
II.242 +UlV7 44V5>?F?'D>:4 Q(;E>"H$?S7& ,>!>-*
3Y;;>;J,>-?'D>I,h;>q?-
s
2
&
π
*U^:4 (
7
<
,>"H?-0
A.
cmA
7
1&
=
* 3*
cmA 1&=
* 5*
cmA
1
1&
=
* 6*
cmA &
=
*
II.243 +UlV7 44V5>?F?'D>]"Ha4 "-?'D>}% Q(*+,=>
?\!'‰<z
„
"-B$–
4
:%d‘J<,>9I?-l
4
*QYt
<<z
„
"-_B$>?\Y;I–
7
:&d‘J<,>9I?-l
7
*
g>l
4
"-l
7
A. l
7
•l
4
* 3*l
7
•l
4
* 5*k8.Y?H * 6*l
7
:l
4
*
II.244 (ĐH – 2008):>?F?'D>]?'D>7 Q("-"<$?S 7,>
!'*+."H$"-$"<?B?S?-7 ("-
7 1
(
7
*3<,>
"<?-
A. 42* 3*%* 5*
% 1
* 6*
4 1
*
II.245 ĐH-09. >?F?'D>]?'D>}"-"He,>!'E>@"#B
$4 ;,(*3Y;_"-Y_K$/"I;M"HLJ"H$
"H?# 2(*3<,>>?F?-
A. 47* 3*47* 5*2* 6*2 *
Chủ đề 3: Vận tốc - Gia tốc
- Quãng đường
II.246 5>?F?'D>:4 Q($?S4 S;E>bO>>?F?e
"I;M4>%;]8}*W$\"Ha0
A. %(
7
* 3*2(
7
*5*7(
7
6*&(
7
*
II.247 5>?F?'D>$?S:4:4 Q(<,>?-&*•?D:1
>?F"H$0
A. % (* 3*42(* 5*42 (* 6*7 (*
II.248 "He$?S% S;E>"->?'D>}42 Q(*pH,>!'
E>@b"#<4 *pH$"H"I;M?#?-
A. %(* 3* (* 5*7(* 6*27(*
II.249 >?F?'D>]?'D>:4 Q("-"H$?S:7& ,>
!>-"#<l:2*5Z$: ?)"H"I;M*mh"H
S;>4(&KLB<?-0
A. A* 3*7%* 5*2* 6*47*
II.250 ĐH 10 >?F?'D>]"He$?S 7"-?'D>4Q(*pHe
Sa;<‰$I,ZE>;=?'D>*d$;St‰"-"He?- 4*
7
3Bt"H/"I;?'D>IO4 ;]8}.>?F,>F,B*U^
( )
7
(4 smg =
*
+$?#^"HeS;>;J,>?-
A. %
1
(* 3*7
2
(* 5*4
1
(* 6*%
7
(*
II.251 ĐH 11 >?F?'D>a;<ab]?'D>}B$IB
F"#"He
4
*3Bt"H
4
"I;-?'D>IOa"He
7
K$?S
$?S"H
4
L;<ab"-"#"H
4
*38}."HFB.
E>@;=?'D>*3eZ*•.?'D>!,-\?BB<J
>Nt"H
4
"-
7
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A. %2* 3*71* 5*&C* 6*17*
II.252 ĐH 12 >?F?'D>]?'D>}4 Q("-"He$?S*5>?F,>
!'E>@"#J+*3Y/."H?&/.r
%
T
"H
$& (*W;I
A. &* 3*47* 5* * 6*4 *
II.253 (CĐ-2009):>?F?'D>,>!'E>@"#<
7
*
pHe>?F$?S4 ?'D>4 Q(*k"He"H$
4 4
(J
$?#?-
A. %(
7
* 3*4 (
7
* 5*7(
7
* 6*&(
7
*
II.254 (CĐ - 2012L: 5>?F?'D>]"He$?S7& "-?'D>}4 Q(
,>!',ZE>;=„D"#<%*k>NF^."H$"H
;ITV% (Y%
1
(?-
A.
%
π
* 3*
47
π
* 5*
7
π
* 6*
2
π
*
II.255 >?F?'D>,>!'"#<2"-J4*+: "H"I;M
E>!M;=>*+9hS"H;>>N71C&.T
.SZ?-$?-0
A. %* 3*& * 5*&&C2* 6*%7*
II.256 5>?F?'D>]'$?S% "-?'D> Q(*d',>
!';<‹>?->b,-4 *+$'"I;?-
A. 4%4(* 3*7 (* 5* 7&(* 6* C4(*
II.257 >?F?'D>/"I;M% J$8"-?'D>8Y,*
5>:A(
7
*+;I$)$"I;M?-
A. 2(* 3*21(* 5*21(* 6* 2(*
Chủ đề 4: Lực hồi phục
II.258 $M$?S;<ρ:412(
1
,>;>$t—Y,!g:&
7
K?^:4 (
7
L\M/7$?4>,:7 J?\]=
A. 7 Q* 3*7&Q* 5*4&Q* 6*4%Q*
II.259 >?F?'D>,>"#<l:5q+: &$?SNa: %
*U\]=\?-0
A. %Q* 3*&47Q* 5*&Q* 6* &47Q*
II.260 5>?F?'D>:%2Q("Ha,J;=Y,bg:%
7
*
k,>4BJ;>#$?S;<#:4(
1
*•?7?\]=
?#0:4 (
7
L
A. %Q* 3*7Q* 5*1Q* 6*4Q*
II.261 (ĐH – 2008):>?F?'D>;E>b*k>>?F,>!'E>
@b*5J"-<,>>?F?B?S?- %"-*5Z;=DnDb
!,@#D$$Z"I;M$: "H"I;M
E>!,@*U^$;@\,>:4 (
7
"-π
7
:4 *+F^˜T: Y
?\-]?'D>?#\.?-
74
A.
%
4&
* 3*
C
1
* 5*
1
4
6*
4
1
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II.262 +UlV7 44V?'D>$?S8.:4 Q(*B;E>"->
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