Gián án BAO HOC TAP



I. PHẦN CHUNG
Câu 1:  !"#$  %&$'(
)
*+,$-./.01,2(
1
*3,$-.,2
(
4
*",$-.5.01,2(
"
*/1,$-.,678 #$ ,9:
;61,6 76),6 6
1"
,6 <6
13
,6
Câu 2: ,= >?,@(&=ABCD,$E F G&#$  %&$#H,I$ J
K-$-$L&-$-$LMN,O(6,P,@8 QJ,&RSGJT4-3-6U
-D LD,R,VA&
;6)'16 761')6 61'46 <64'16
Câu 3: E, W($X,%&!YMZ[Q,&,\
π
]
)
=
L
N W
mFC
π

3
)
=
F,DYA6V
$ G& $EE, WBA($X,%&
Vtu ),$-1)1
π
=
6%&,U[ >,^-&=8&N
M8$E, E,_, E6`BM_,_, E,9,^-&=:
;643a6 76)+a6 61ba6 <6)1a6
Câu 4: c#$  %&$I$AJdMS'(*;,$-ω,6e&R#$  JT,)0+,&Rf,PX
1
2
,678 #$ ,9
;61√1,6  76"√1,66",6<61,6
Câu 5: ,$F,g($#$ L,&RSQ8 #$ ;6B>&$-& hX M$
,&RS#$ ,9'
;6D, M&S:1;06  76D, M&S:";06
6D, M&S:6 <6D, M&S:;06
Câu 6: B,_,$&X8hhXF#G,9#$ '
;i$E_,,Jjk,6 76l_,AN,!66l_,,\,9^MJ6<6l_, !,9g($6
Câu 7:WJT,JZ>WMmMW=R'
;678 ,9_,,Jjk,L6  76l_,-B,9^MJn6
6G-D,9_,,Jjk,:G-DM8,9W#$ 6 <6l_,-B,9^MJL6
Câu 8: ,$F, d#$ Z,@d6$F,k=#$ L,&Rf)Q]-Q,$F,k
#$ L,&Rf1-6&Rf#$ ,9,$F,k,P,%&#:o,%&#,9,$F,
M8'
;6)Q+b-6764Q]-6 6)Qb]-6 <61Q]-6
Câu 9: ,$F, d#$ L,&RfQ4-Q,$F, dRB,#$ L,&RfQ"-EV =

=X*)0-
1
S,&Rf#$ ,9,$F, d,P,%&#:o,%&#,$F,PM8
JT,M8 JT,MI$$MGBX,&X>  %& (&D'
;6Q]-676Q"-66Q]]-6<6Q313-6
Câu 10: E,l!,&,\l*]pN W6<$  WCM$E,#$  %&$6q
WBAr G&,&,\:)Q1cS,J #g WM$E,:)Q+;6gR WBA
r G&,&,\:QcS,J #g WM$E,:1Q";6W#&,9N W
:
;6]ps6 76]Qps6 61ps6 <61Qps6
Câu 11: G&O,9-T#hX !#$ LAJdMS&*16,$-1π,E$M-P
M8#hX,PD,c*1,0-6 >M8#hX,B,OR$\1Q],#$ LAJdMS'
;6&

*1,$-1π/
"
π
, 76&

*1,$-1π5
"
π
,
6&

*1,$-1π5π, <6&

*1,$-1π,
Câu 12: WBAr G& $EE,($X,%&,P>&k,
),$-)3 tu

π
=
c2-6E >
)
-
,P&
)
*+c WBA \6E >
1
*
)
-5]- WBAr G& $EE,,PBMt
;6
4+
c6 76/
4+
c6 6)1c6 <6/)1c6
Câu 13: qY&$-& hXR^ %-_M&X%-P,du
;6eP-PAJd#$ ,9,B,AGv^MJ&^P,LAJdM&X%-P6
76eP#H,-PAJd#$ ,9,B,AGv^MJM@LAJdM&X%-P6
6ePM&X%M$^MJ,=MF&^&^-P#H,6
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Câu 14: i&!-PZO#$ LG-D)xQ#$ M&X% LD,Q"0-M8AJdOX6
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Câu 16: #hX !;7#3,,P G&7,D tQ G&;F,$Bh$ #$ L
G-D€*]x6qh$M&QM8#hX,P-P#CL4N-P6D, M&X%-PM8#hX
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Câu 17: M$WJT$$-PJL,QE >;Q7,B,&),,P&!-PD
&#$ LG-D]x6D, M&X%-PM8VJL,10-6eD >#$ L8 ,_,
EM8 $E;7
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Câu 18: cL

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1
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/1
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Câu 19: $ $EE,($X,%&!N WF,DYAL,&#hX6WBAr G&,&#hX
W,A
4
π
-$L,J #g WM$E,W,A
1
π
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BAW&#Nr G& $EE,:)c6WBAW&#NM8N W,&#hXGJT
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43
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Câu 20: ,$F, d#$ Z,@d6$F,k=#$ L,&Rf)Q]-Q,$F,k
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Câu 21: $ $EE,! WMZ&G[*4‚Q,&&G,\
π
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=
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4"
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4
π
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=
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s
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;6~6 76\6 6~-& P\6 <6\-& P~6
Câu 22: E, W!YMZ[ƒF,DYAL,&#hX&G,\6V$ G& $EE,
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Câu 25: F,DYAP †-T DN WM!F,$E W($X,%&S †-BS
J6iY&F,8N WDYALN WZE,M8S
;6 †-BR‡dMJL,6
76 -B,9 †R^X o6
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<6 †-BdMJL,6
Câu 26:  $EE,! WMZ&GF,DYAL,&&G,\6iJ#@^RY
W,P WMZM=L > $ WBA6qF,^RY$ G& $EE,S^RY,U)]c2F,^RY
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Câu 30: M$BXAB W($X,%&4AQR-&= W ZA EBMt,_, EI
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2 2
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2 2
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e e= - = -
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2 3
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2 2
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e e= - =
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2 3
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e e= = -
Câu 31: qY&$-& hXER^ %-_M&X%-P,du
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Câu 32: BXAB W($X,%&AR>&,\kQAG,\!)1,VA,_,Cy&XLD, 4
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Câu 33: ePs,9YiPcWi,PG-D)x67JL,-P
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6
h&',&#hX,P _,\l*10πQ WMZ&GR^ BR>6>,J #g WM$E,

~=A ^L %&RWW& WYR^ oQSG-D#g W
;6~"G76\"G6~1G<6\1G
Câu 36: E,,H-P,9BX&!,P,&#hXN W,P W#&Y o
M$AE1As/)+As6q V W#&ZBMt1AsSF JT,-P,PJL,-P46cXR
,$ W#&BMt)+AsS-ŒF JT,-P,PJL,-P
;6676)661b6<6)]6
Câu 37: -PM&X%M8-T#hX !M=#LG-D]xQJ=X >;Q7M8
-T#hX,B,&1,#$ ,@AM8 $E#hX;7,P >RB,#$ JT,AL
;6D, M&X%-PM8#hX
;6*"0-6 76*)0-6 6*]0-6 <6*1],0-6
Câu 38:c#$  %&$I$cosinL8 ",,&RfQ]-=X
1
π
*)6E
>A#$ :
4
b
π
S ,&X> M(tMw,h:6`D,,9E > P

;6•41,0-
1
6 76)3,0-
1
6 64Q10-
1
6 <6/)3,0-
1



6
Câu 39:M8-T#hX !,P-P#CLJL,-P)Q],6;7 >M8-T#hX,B,
&)",EM& >,9;7-P6eD-PN-Py&-B JT,M8 $E#hX
;7
;6)+NQ)b6 76)NQ)6)+NQ)6 <6)NQ)+6
Câu 40:E,#$  WCR#@N
)
SG-D#$ M8,9E,€
)
*4x6qF,
8N
1
-$-$L
)
SG-D#$ M8,9E,€*1Q"x6iY&F,8N
1
DYAL

)
SG-D#$ M8,9E,-Œ:
;6Q3x6 76]Qx6 6]Q"x6 <6"Qx6
II. PHẦN RIÊNG [10 câu]
Thí sinh chỉ được làm một trong hai phần (phần A hoặc B)
A. Theo chương trình Chuẩn (10 câu, từ câu 41 đến câu 50)
Câu 41: ,$F,g($#$  %&gL8 3,,&RS)-6E*Q y&tMw,h:
I$,%&h,9MN,$E 6oy&ˆ J  JT,,9M$R$\1Q4b]-R>C >
JT,,HD,
;6"+, 76], 6]]Qb3, <6"1,
Câu 42:$F,g($!VMI$$ G&#JL,9g($#Q,&Rf#$ ,96iY&g
($t,FLvS,&Rf#$ ,9,$F,L

;6
1
T
6 7616 66 <6
1
T
6
Câu 43: EdM8V =Q,$F, d,P,%&#l
)
#$  %&$LG-D)Q1]x2,$F, d
,P,%&#l
)
5l
1
#$  %&$L,&RS)-6&RS#$ ,9,$F, d,P,%&#l
1
:
;6Q3-6 76Q"-6 6Q+-6 <6)Q+-6
Câu 44: %&RW >,P-P#CM8#hXL G&,D t,%&##hX:
;6-D,ŽGAGJJL,-P6 76-D&X8GAGJJL,-P6
6-D•GAGJJL,-P6 <6-D&X8GAGBJL,-P6
Câu 45: ,$F,g($#$  %&$I$AJdK kLG-DP,ω*1M#0-EtMw,P
D,MHMJ*)0-
1
QRy&tMw(*1,,PD,c*"
3
,0-6l_, !,_,>&,9g
($M$y&BMS#$ ,P L'
;6s


*Q1i 76s

*Q"i 6s

*Q)i <6s

*
Câu 46: -P,d,PG-D]xQM&X%M$^MJLD, 4]0-6q$\,B,r
>G&=M8AJdM&X%-P#$ W,A&1.04:
;61],6 761+,6 64Q1,6 <614Q4,6
Câu 47: V WBA($X,%&)1c•]x$ G& $EE,($X,%&[lF,DYA
FC
π
4
)
−
=
6=X WBAW&#NM8N W,&,\:&:v WBAW&#N
M8 WMZ6^-&=8&NM8$E,:
;6b1a6 761"a6 643a6 <6)+a6
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Câu 50: BXAB W($X,%&AF,I$R>&S-$,PW& WYA)1c6W& W
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B. Theo chương trình Nâng cao (10 câu, từ câu 51 đến câu 60)
Câu 51:MF y&X#G %&y&MN,,D t y&S
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6w,,9D,P,D,P,:-Dh6 <6D,P,&^#=&h6
Câu 52:,Y,y&XSMgQ:,P>y&XM$VAKy&MN,,D tQ
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Câu 53:J (I EALD,  %&1bR06q$\,B,CMN,B(IL‡A$,9DA:

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Câu 54:Py&\,G&n !,=QRDJT
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Câu 55:,$F,w!#l*3,QRDJT*)y&\,G&nRDJT*
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Câu 57: MF,PRDJT)Ry&Xy&MN,,D tLD,P,Q1M#0-
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