Tài liệu ÔN THI TỐT NGHIỆP 2011

ÔN THI TỐT NGHIỆP 2011

Câu I !"

#"
$
%&
'()*+,-./01,/213345,6789
$(:1;/<1,:7=1>?1@@/A/B1.C/3,DE71
Câu II'(/*/>FG1@,D=1H@
$
$
"
#'H@
$
$
"#$
#&!
$(:1,:7>I1!
( &
J
'
7 "  ,91 ";"
7 "
π
−
∫
(=KL789 !"#
$
& "−
C©u 3'MN,,/0,;/<1OP9,DE7789=11Q1HN,,9@/+73PR1@7I1

7B1.S1@9:1;/<1,:7"P1@OP91789=11Q13,T,:7789U/1Q1
Q
VWX
'Y7FG1@,D=17PZ1
IP[9$7;
$
" ' \
' $ '
+
−
= =
−
3>]$"% #\#$!J
'=,^9N@/9/T789F_1@,?1@;3>]
$)`/<P;
a
H=17/0P3PR1@@Q7789;,D21
α
[/0,>FG1@
,D=1,9789F_1@,?1@;
a

Câu IVb'/*/>FG1@,D=1\
$
%$\#'J!J,D21,b>>c7
$,Y7¬ng tr×nh n©ng cao
IP[9$7;
$
" ' \
' $ '

+
−
= =
−
3>
Ρ
"# #\%d!J
'c1@/1;((>
Ρ

$^/;
a
H=17/0P3PR1@@Q7789;,D21[/0,>FG1@,D=1
,9789;
a

IP[.'D1@>,^9N" L,=,b>e>/T./TP;/f17+7>c7\
,g9h1
/iPU/<1
\ j/ $ $− − =

ĐỀ 2
/T
Câu 1(3.0điểm).
$ '
'
+
=
−
x

y
x
')*+,-./01,/213345,6789
$[/0,>FG1@,D=1,/0>,P 01789./0,,/0>,P 01Q
3PR1@@Q73A/;"k k$!J
Câu 2(3 điểm).':1,:7>I1
$
&
$
J
 , 91 "#'

7
=
∫
I dx
x
π

$/*/>FG1@,D=1
( )
$ $
H@ H@ ' d
+ =
x x
=KL7897+79P
$
   $= = − −y f x x x
Câu 3(1đ)
=17Q>V7Q+ VH=13PR1@7B19LH

,I789+ L!V!!!$9
'(c1@/1HF_1@79789=17Q>
V
$(:1,T,:7U/7Q>,Y9
WX/T
1.Theo chương trình chuẩn :
IP&9$/T7'lJl$LVk'l$l'LJlk'l3l&lj
'[/0,>FG1@,D=1m,>?1@
( )
α
OP9/T
LVL
$=,^9N7I1F_1@3PR1@@Q7B,n
"P1@>
( )
α
L
IPj9'/To+761,b>e>7+7/T./TP;/f1>c7p
,D21m,>?1@,^9N,g9h1
/iPU/<1
$ &z z+ − =
2.Theo chương trình nâng cao
IP&.$7;
$  L   $ L ' $
= + = − = − +
x t y t z t
3m,>?1@
$ d Jx y z
− + − =
9c1@/1;7q,=,^9N@/9/T

.[/0,F_1@,?1@
∆
H=17/0P789;H21>
IPj.'/T=7r1.b79/789>c7
 &z i
= +
ĐỀ 3
s17P1@7,t,7*,:/1/T
IPLJ/T !k"

#d"
$
ku"7Q5,6H
')*+,-./01,/213345,6
$[/0,>FG1@,D=1,/0>,P 013A/5,6./0,,/0>,P 011@
1@3A/F_1@,?1@7Q>FG1@,D=1 !ku"#'
IPLJ/T'/*/>FG1@,D=1
H@ & H@ H@ '
& v
$
+ + =
x x x

$:1,:7>I1
$
H1
=
∫
e
dx

I
x x
e
 =@/+,D6HA11t,@/+,D61g1t,789
&
'
$
= + +
−
y x
x
,D21
[ ]
lj
IP'LJ/T=17Q>V7Q+ H,9@/+7V3PR1@7I1
,B/VL7B13PR1@@Q73A/m,>?1@VLB1V,B3A/m,>?1@
+ N,@Q7J
J 
 3V!9:1;/<1,:7m,7sP1@B/,/0>=17Q>
V,Y9
wx/T's1iIP[9$/T7lk$lk$
3m,>?1@y"#$ #\%!J
'[/0,>FG1@,D=1m,7sP,I3,/0>"z73A/y$:1,^9N,/0>
/T7893m,>?1@y
IP[9'/T=7+7@/+,D6,-7789"3 T>c7
$ j
'
u & 'J= − −z y xi
3
$ ''

$
v $J= +z y i
HH/21e>78919P
$s1  i  VIP  [.  $  /T7
( )
 $   Jx y z
α
+ + − =
l
 $ L $ L 
= − = = −
d x t y t z t
'o{,36,D:,FG1@/@/|9F_1@,?1@;3m,>?1@ 
( )
α
:1U*1@
7+7@/|9;3
( )
α
$[/0,>FG1@,D=1m,7sP,Ikl$lk$L7r
}
,FG
~
1@,r
•
1@;,9
€
/9//2
•
LV

97V!v
IP[.':1;/<1,:7=1>?1@@/A/B1.C/
$$
$
+−=
xxy
L,/0>
,P 01789,B/Mlj3,DE7
ĐỀ 4
s17P1@
IP/T')V•[‚789 !k"

#$"
$
%"$:1;/<1,:7
=1>?1@@/A/B1.C/3,DE71
IP$/T'=@/+,D6HA11t,3@/+,D61g1t,789 !
$
$ $
$
H@ H@ $
H@ $
x x
x
+ −
−
,D21B1ƒvl$„
$:1,:7>I1!
$


J
/1
"#'
x
dx
c
π
∫
IP$/T'=17Q>V7QVH,9@/+7iPL7B1.21
3PR1@@Q73A/+ L!93@Q7@/|9>V3A/>VHJ

:1
,T,:7=17Q>$/*/>FG1@,D=1u
"
%
"#$
#'v!J
s1D/21@Ban cơ bản :IP[9$/T7M'lkl$3m,>?1@
$"% %$\#$!J[/0,>FG1@,D=1789'Mm,7sP,IM3,/0>"z7
3A/$Mm,>?1@OP9M31@1@3A/‚F_1@,?1@OP9ML
1@1@3A/37q,,DE7\
IP[9'/T=>c7\L./0,'#/\!$k/k'#$/
Ban nâng cao : IP[. $7M'lkl$3m,>?1@$"% %$\#
$!J
'=,^9N=17/0P789M,D21>
$[/0,>FG1@,D=1F_1@,?1@OP9ML1@1@3A/37q,,DE7\
IP[.'/T=7r1.b79/789>c7\!%&/
ĐỀ 5
LJ/T
IP'LJ/T !"


%"
$

')*+,-./01,/213345,6789h7
$…
~
2
•
F_1@,?1@;

 !"%7r
}
,5,6,9
€
//2
•
>I1
./2
€
,
IP$LJ/T'/*/.I
}
,>FG1@,D=1 
$ '
$
H@ $" j ' H@ " '− ≥ + −
 $
:1,…
}

7>I1!
$
$
'
'
;"
"" '+
∫

=@/+,D6HA11t,3@/+,D61g1t,789†"!"
$
%"#'Y
"
,D21
B1ƒJl„
IP'LJ/T…
~
17Q>V7QFG
~
1@79LV!9Lm,.21
VH,9@/+73PR1@7I1,9
€
/VL@
}
7@/F
‡
9F_1@,?1@V39
~
m,>?1@
V.r

~
1@dJ
J
:1,T,:7U/7Q>V,Y9
WXLJ/T
'Y7FG1@,D=1PZ1
IP&9$LJ/TD1@UR1@@/91" \L7/2
•
'lJl%$LF_1@
,?1@ ∆
" ' $ \
$ ' '
− +
= =
−
 39
~
m,>?1@"%$ #$\%'!J'[/0,
>FG1@,D=1,R
•
1@OP9
}
,7P
•
9m,>?1@α/OP939
~
3PR1@@
}
73G
}

/∆
$[/0,>FG1@,D=1,9R
}
7P
•
9F_1@,?1@;/OP9L1@1@3G
}
/m,
>?1@39
~
7r
}
,F_1@,?1@ˆ
IPj9'LJ/T9/>c7\
'
!

%j/L\
$
!

%/:1
'
$
\
\
39
~
'
$

\
\

$Y7FG1@,D=1I1@79
IP&.$LJ/TD1@UR1@@/91" \L7Hr1@,DEVaVaa7Q
'l%'lJLVJl'l%'L$l'l'La'l$l%$
'[/2
}
,>FG1@,D=1,9R
}
7P
•
9F_1@,?1@Va
$[/2
}
,>FG1@,D=1,R
•
1@OP9
}
,7P
•
9m,>?1@VVaa39
~
>FG1@,D=1m,
7sP,IL,/0>"z73A/m,>?1@VVaa
IPj.'LJ/T=7+77r1.b79/789>c7\!$'%$J/
ĐỀ 6
‰LJ‚/T
IP
 $

" " '
= − + −
' )*+,-./01,/213345,6789
$ [/0,>FG1@,D=1,/0>,P 017895,6./0,,/0>,P 01Q3PR1@@Q7
3A/F_1@,?1@
'
;  " $J'J
u
= −

IP'/*/>FG1@,D=1
 
$ $
H@ $j ' $ H@ j '
x x
+ +
− = + +
$=@/+,D6HA1,D6HA11t,3@/+,D61g1t,7899P !f"!"
$
k
vH1",D21B1ƒ'lY„
:1,:7>I19P
$
7 "
 Y $"/1 ";"
J
π
= −
∫
IP'=17Q>

S ABC
7Q+ 
ABC
H,9@/+7iPL7+77B1
.21iP.S1@
a
L@Q7@/|97B1.213m,+ .S1@
J
J
:1,T,:7U/
7Q>
S ABC
,Y
a

WXLJ‚/TThí sinh chỉ được chọn một trong 2 phần (phần
1 hoặc phần 2 )
'Theo chương trình chuẩn :
IP[9$D21" \ 7M'l$lk$L$lJlk'3> 
 $ 'J Jx y z+ + + =

' [/0,>FG1@,D=1m,>?1@yOP9$/TMl33PR1@@Q7
$ [/0,>FG1@,D=1m,7sP,Ik'll$3,/0>"z7m,>?1@
=,^9N,/0>/T
IP[9'=RP1789>c7
= + + −
3
z 1 4i (1 i)

$Theo chương trình nâng cao :

IP[.$D21" \7'l$lk$LV$lJlk'3F_1@,?1@
;
' $
$ ' '
x y z
− +
= =
−

9 [/0,>FG1@,D=1m,>?1@OP9$/TlV31@1@;
. [/0,>FG1@,D=1m,7sP,I3,/0>"z7F_1@,?1@;=,^9
N,/0>/T
IP  [.  ':1  ;/<1  ,:7  =1  >?1@  @/A/  B1  .C/  5  ,6       
$
" &" &

" '
− + −
=
−
3,/<7b1"/217893$F_1@,?1@"!$l"!9
3A/9Š$=9T;/<1,:71 .S1@
ĐỀ 7
s17P1@;17,t,7*,:/1/T
IP

" $
' "
=
+

−
7Q5,6')*+,-./01,/21
3345,6
$=TF_1@,?1@; !"
−
35,67Q/T7P1@
IP'/*/>FG1@,D=1v
"
%&
"
!$
"
$c1@/1
( $ ( $
& &
J J
7 ";" /1 ";"
π π
=
∫ ∫
=@/+,D6HA11t,L1g1t,789 !
$
" $" '
" '
− +
+
,D21B1ƒJL$„
IP'=17Q>V7Q+ VH=1.=11^/M
HN,/T,PN77B197M!$M:1,‹,T,:77899/
U/7Q>VM3V

s1D/21@/TThí sinh chỉ được chọn một trong hai phần riêng
( phần A hay phần B)
kY7FG1@,D=17PZ1IP[9$7+7/T'LJLLVk'LL
&L'L$L'LUL$Lj
'[/0,>FG1@,D=1m,>?1@V=UT7+7F_1@,?1@V3
7{19P
$[/0,>FG1@,D=1F_1@,?1@ŒVŒH=17/0P3PR1@@Q7789F_1@
,?1@VH21m,>?1@" 
IP[9'=>c7\./0,'k$/\!$\k'
VkY7FG1@,D=11I1@79
IP[.$D1@UR1@@/91" \7F_1@,?1@;
" ' \ $
' ' $
− +
= =
−
3m,>?1@]"#$ k$\#&!J
'[/0,>FG1@,D=1m,>?1@β./0,β7c9;33PR1@@Q73A/]
$=,^9N/TH=17/0P3PR1@@Q7789/TF_1@,?1@;
IP[.':1,T,:73b,,T,D•1"9 U/OP9 =1>?1@@/A/
B1.C/7+7F_1@ !
'
7 "
L !JL"!JL"!π(dOP91,DE7"
ĐỀ 8
/T
IPLJ/T
 $
"
"  '

= − + −
7Q5,6
' )*+,-./01,/213345,6