prova de matemática afa 2011-2012
DESCRIPTION
prova deTRANSCRIPT
-
!" #
$%&'&()(*+&&,&-.//-./-
012(3$/
5678966:8;
;"6"?"8?@8!"9:8A=:!"9:=D!:8GHHI=;:8?678966:8>:6=D!:8
GHHI=
;:8966:8;:
GHH U#H U#H P [#
T T#U U
N d V N d V [H
h i h i
j j fg k j f j g
l m l m
n o n o
K
]A
-
!"#$
%&'()*+,(-
(./0123/3"43"."1./0!/.
430"3/.1"30/.!"506!"430"3/1"30/
7 8
#9 "3:;/
7 8
#9
> A99 > 9
7 8
G
G S 6
6-#78
7 8
S G
j j kIj I_j j j kIj I_> B 9 > A B 9
-
!"#$
%&
% &
% & % &
% &
'
' ' '
( ( ( ( ( ( ' ( ' (
) *
+ , -. , -/+ , - .0/ 0.0./ -./
1 2
% &
' ' '
'
' 3 '
' 45 ' ' 45 '5
'53 '5 '53 #3 5
.0/+ 6/+-.
7
8
.0./+- 6.0.,-.+- 6. +
9
8
-./+ 6- ,/+ 6/+- :.+
;
>
-
!"#$
%&'()"&)!!&)*")+*!&)"))"*,-&./-&**"+&,*'*01".")-&23!&1'21&&-)&.
4*&((2!!"!""2"+"*56&)&15#&)/12
7568
(7598
-7:68
!7:98
;=?@A(
;BCDE>A
>+&+2!"21&)/
FG
$6 H6 I696 56 5$6J K L L L L K M
>+&+2!"21&)01"4&))1"'56&)&15#&)/
FG
@ 96 56 H6K L K M
&*++&.")-&23!&1'21&&-)&.4*&((2!!"!""2"+"*56&)&1
5#
&)/12
FG
FG
FG
@ H6 #
4@ 598
5$6
K K K K
J
M
NOPQRST
C''&+!&*!"1+&'VW")4*"4*+*X)'&!"2&)!"-**&).)("*A
-
!"#$
%&'()*+*(,+,-.",*)"+"+(/")0"1*%!!"!"234)56*%((*#7$8*!")*(
%*,.)*7
!&'()*+*(,+,-.",*)"+"+(/")$34)56*%((*#738*),"%*9)%*7
:;?
0 234)5 I2J K J
=L,"(0!*,8+)%*1.!)+(M6*%((*!")*(%*,.)*8*#7O-."!
N2
P6 4)J 7
!&G=::;>?
0 $34)5 I$J K J
=L,"(0!**+0%*1.!)+(M6*%((*),"%*9)%*8*#73-."!
#$
#N4)J 7
QRSTUVW
G*,!"("*'1*%(+",*,("+,
Y N+
(@
#
Z H+
N
J
[
\
]
J ^
\
_
"
` a
4
,@4#Y Z 3
N
^ b b J
6*!"
4c
7
-
!"#$
%&&'("
)(
'"*+&",(-&((."/0&"10"*"(,")"(!(**&("'-&)**&'(+&-),",(!(**(2
3&!"("0&0,.4."
)
"(.0(")+&)"*(-),",(0&0!"*"(2
56789:;
=&-,&0)*"(&'0)0.1")>0?!""4.@+&
A A
B C B#DC E DF G F F H
'0&/
EI
'
!"*")/&"B&!(&)!"!(./0&)!!"0&/-)/"*& $H 23"((1&)/'J0&))"*&1)/)
4."
K?J*"*"&"B&LB2
MK&)&!"?J.,E2
0KN OE'#G I?2
!K?J("0*"P)"*
B EH
2
QRSLSTUV
QRSL%WXYLV
N O
N O
AA
A A A A
VB C B#DC E D B B Z C #DC A[ \] E B \ C [ \] E? F G F F H ^ G FF F F H G ^ G F F H G
&)**&'?J./0)0.1")>0!"0"*)&N O_\'[G ")&
\] EG 2
S"`0&)!Ua $H H "b&(".-&*&/J!&'"*+&
_b Uac "_b \H 2
U-,0!&&*"&)"/!"*&)(&U_bd '*"/&(V
A A A A A
U_ Ub _b ] \ U_ [H F H F ^ H '&.
("`'&)&!0)0.1")>0?J.,[2&)**&'\] E [ E ZG H ^ H ""4.@+&!"?J
N O
N O
AA
B \ C [ A[G F F H 2
K_LQQRTU'-&(?*"/0"*)&N O_\'[G ")&[2
MKe=_LQQRTU'-&(E Z \ [H H f 2
0Ke=_LQQRTU'-&(
N O N O
N O
A A
Z\ #[ [A A[ Z'#G FGF H f g G h?
!Ke=_LQQRTU'-&(B ZH J"B*")&)P?2
-
!"#$
%&'()*+,
."/010234"1
## #
5 ## 6
## 6
7 8
9 :
;
9 :
9 :
?
#
6
@
A
B A
A
7 8
9 :
;
9 :
9 :
= >
"
C
D @
E
78
9:
;
9:
9:
=>
F
G03"HIJKL"MNIJK023OH
5B D;
?POK33"2KQ303MN"
RP0SK11TU"HS3
C
6
;
F
VR!02"1KHNIJKWOS3
C
6
;
F
OR2K!1KHNIJK121Q4LOK!IJK
# 6
A A XY ; F
!R!02"2"3K3!"!
#
6?#?
6
Z [
9","941"5"9",8 +> B
C9"70DEE4FF"5/
GHIHIJ
KGJIJIH
EGHIJIH
!GJIJIJ
LM&N&OC*
LM&NPQRSN*
#TUF4U49234*HCP&C
Q1E4!23490)E"5"UF70""895)0234E41U495/ VW "X &W B
-TUF4U49234*HCP&C
&"
$%
YU ;
,"534
$%
YU 1>
40
$%
YU U>
,U4F554
Y
34/Z"54FB
[TUF4U49234*JML\C\M]LC
$ %$% $ %$% $%
$ %
$ %
$%
$ %
$%
#
))) 8 # )))# 8 8 )))# ))+ )# +
@
>^ > ^ > > > >
$%
)# ## +>@>
$%
)+ +##> :>
_` abcdef
FFF)0!49!")4F150F,49E!"5"9!4#h4!CHCi"!"1E199!"16YE414
"1K6"1!50F1B&"4UF"24!"i"!!"E!E19/!"-+F"9,"6"9i"!"1U4F1D9[+
E199B
Hj"F101U"9709"i"F)EF170",UFE!
-
F"9!"!"9E4544UF"24!"E!E19,934
i"!!9kE19919U4F1D9B
\"99)4F1,/E4FF"54)F1F70"
G/U499li"6)j"F19!"#+!"9E4549!"
-
F"9B
KG554)ji"!"F9E199U4F
#-
F"9E!0140# F"9E!0170"4)50F1"54/4
1"914B
EG41814)50F1"544E4FF"9"934i"!!91"49!"m+E199U4F1D9B
!G9"4UF"24!"i"!!"E!E19/!"#mF"9,"5344)50F1"54/14F70"k +F"9B
LM&N&OC*K
LM&NPQRSN*
&"4UF"24U4FE19)4F-+ -@ ,705!!"!"E199i"!!9/[+ k: "4)50F1"54/
$%
$ %$ %
-
) -+ - [+ k #- k+ k++> @ n : >@ : : B
GHCP&C
Hj"!4o9"19!"#+!"9E4549!"-F"9,4UF"24!E19)E"5i4B
KGJML\C\M]LC
NUF"24!"#-F"94E4FF"70!4 m> "4UF"24!"
# F"970!4 #>BC991,49
)50F1"549"11K4949E949934
$% $%
)m )# km > > F"9B
EGHCP&C
-
!"#$
%&'&()*+,&"*((-(,,".+!(
/ 0
12
345
3 #3
6
7 7
86
4(+9":4;,
37
(+ "
37
4(;,"?(;(,-&9@#1,"94.+*!!"!"-&99A"!!9@
B3
"()*+,&"*(
1C3,"9=
>" H
%;,"?(!-&9@
#B
,"9.+!(
-
!"# $
%&'(')*+
%&'(,-./(+
0121
34 34
5 65 789 : ;11"#?#
-
!" #
$%&%
'( '(
)* +*,
-%./0%!"
)
1%!"2".%34!%1.4.!%./0%!"
+
"21"5+!%62"21.4"2
"472"&."589%%"*%:*;
"&"5+%.."1."2"4/>89%
)
?%!%189%
@A
;
BCDEFGHI
$%2!"."/>&/>89%=>!.40!".KL"2."2"%1%242;
:./0%!"/4".0"14%./0%!/>89%."5
!"/!1%.
'(
* M,N"&"*4&"4">&
1%4%;
O"
' (
/ P Q, "
'(
'(
R/ R, , -"49%-?ST$:UUVW:/.&.=>"
A
'( '(
/* * XN Y -*Z[ ;
3A%1.%!>4%!2.KL"2!"/?>&\&".%K&1.;
0A/>89%."5+!"/!1%.
'( '( '(
+* * /*, N !&4"75%.&*&%;
!A/?0."20"4"
] ]
* -Z [ _^
;
UVO:OW` a
UVO:
-
!"# $
%#&'()&"#
(
*#')#+*&'()&"(,-.&'#/
"#("+&'
01
2 !34
#5#2*5#*#,5
+&*&6#*.&&'"#""&78'*)#"(,-.&
(
8
!4
9:&5&;'N
!
B
-
!"# $
%&
'
!
"&$()
*+,-,./0%
*+,-1234-0
5
56 ! !
!
5
7 89 :; 89 ' 89 '
!
< <
? @
A E
!
!
5
89 '
7 '
!
= !
89 '
5
< k k
"&
l m[ f5gh>n>
W8XS#
YZ
[ !o
*+,-,./0%
*+,-1234-0
Y Z
p q
5
[ [ ( [[ ( [ ( [ / (f \ r s \ r s r t r>u < > >
&v/1,/
YZ
5
5 5
5
[ [
[ [ [ [ [ [ ( /
[ [
>
< s > > s < w
\
199f
g[ /h
W8XS#
YZ
[
&^v/1,/
YZ YZ YZ YZ
i[ [ ( [ [ \ < s \ >
< <
\ \
\
-
!"# $
%&
' '
( ) ) ' ' ( ) (
' ) ) )
*
+ +, + -+ , + +,*+ +*,*+* + ,*+ +
- - -
"./0120
%&
' '
) ' ) ' 3 ) 3
) ) )
*
+*, -+*, 4*, + , * + , +
- - -
56789:;
! '
$P#) (P#) 3 (* - *+ M""F>E
RS2T2U0VW
RS2T1XYZTV
% &% &
! ' ' '
$P#) (P#) 3 ( 'P#) !P#) 3 (* - *+ ,* * * +
/[#">P#) [\ A]L>PE#K[EOL#PDO">"#PK"#
% &
% &
' '
I^[. '[ ![ 3\* * * _0PE`[#P"#I
PH>
'
'
'
a \a #
3
'
a
_bPF>">PE`[#PP>WE#E#DE#K#KP">>PK"IOGH>J>L
WP#>LMD>">">PD#E]K>PAD#L>PV
-
!"# $
%&
' ( ( '
)* + * * *
( ( ( (
, - ,. /. , , / 0
12234"#5#3627#8
' ( ( '
2#9 2#9 2#9
( ( ( (
,. /. , , / 0
:
;636
< =9 +4(> ?
47#362@
' A !
2#9 9 4
( ' '
? ?
B C
,. - >
D E
F G
6H
( ( ' ! I
2#9 9 +4 4 4(
( ( A A A A
? ? ? ?
B C B C B C
. , , - > J J ?
D E D E D E
F G F G F G
6H
' (
2#9 9 4
( ' '
? ?
B C
0 - >
D E
F G
:
K#L8#2#7"6HM6"#22#27#85N626OON678663P78O647#362@
1)H8O3O688#2L6"#QN7#875RST:
UVWXYZ[\
;62"#8#16O6^H76323LN6L622_5#N)H`M68#N
)@1a 4""L68
%&
2#9 O629
)9
O622#O9 2#O9
b c :d6S8#)H`M6)PO688#76)838eH#
-
!"# $
%
& '
(
) * +* ,(
-
.
/ 0 1 0 2
3%45#67"889:5#6;9"9#8*4""9596
>#* O * (,(1 P 1. 0
2
E"9:;9"L#8*4""9596
89>* O * (,(
-
.
1 P 1 @. 0
2
)=4:">6#>?6MQ#>?#696#>,9"9:;9"#
RS
>#* 89>*
L*
89>>#8* >#8*
/ @
"#T#>?>LU#689>>#8* O1 #
>#8* O1 ,9V#:56#V>>L#>?N9"#L">2
)>>:,
& '
(
) * +* ,(
-
.
/ 0 1 0 2
6* )0 ,?#:9>G
RS
- -
>#* 89>* >#* 89>*
L* >#* 89>*
89>>#8* >#8* >#* 89>*
/ @ / @ / @ /
H99,L??##,596??9,N945#67"8"#5#6;9"9
.,N94"#86#>8#?##:
#W>>868L96::>N9#9:4?6886#>8#?#2
D#9>69>">868"#8#?69>
a#
-
a:#"#:,6#>5#8?T:#?#,-6#
c6,#?N96#
"6#N9>9:36#"T=#,#:"#6#,
-
!"# $
%
&
''
(
$
)
*%
&
&+
(
,
)
-%
&
.
(
$
)
"%
&
$()
/0121345-
/012678925
1#:
;
/
-
!"# !
$ %&
'$()&
*$(%&
"$&)&
+,-.-/01'
+,-.2345.1
-#60789,:;;079M 1
G H G H
( (
( (
79 % (% 79 % 79 %N L O L O L
079,
- 0779 % % %&L K L K L
P,Q
%&
R I %&
& (
L K KL
S309
R %&& %&
&
L K KL
.T;DCB#";>UD";;'E";V
&
P,Q S309
R R R %& %& ()&*BL N L N L
F