prova de matemática espcex 2013-2014

20

Upload: luanamdonascimento

Post on 29-Sep-2015

42 views

Category:

Documents


0 download

DESCRIPTION

prova espcex

TRANSCRIPT

  • !"#

    $%&'(&)(*)+,&(,(-./012./034$'(5$'6

    '&)&07'(8()(9$'(./014(:;:,+&'$86

    ?@ABC!DE@!F@!D!E CC@>GC >?HICFCJCKJ

    >

    L !> CE!@MJC@!J

    N OLA

    PQCKAD!D>C@KHR!D>C@!G DF!J>?@LFC !KCD>@K@S?!T

    UG@!DG!E!CE!@MJC

    N OL#

    P

    AB >!X F@EC C

    B

    CE!@MJC

    N O LA

    P

    GB #X F@EC CB

    CE!@MJC

    N OGL#

    P

    ?HIC

    >

    U !G@!DG!E!CE!@MJC

    N OGL!

    P

    !B >BZ

    P

    "]! C?KJ!MEK!ECECFC@>GC @!ICC !D!@@!J] C

    ?K!B!@G^GC !GKFCP\J!S?!@ !E!@K@J@?@ C@CS?!GC@E@!IC!FC@DDC CEC?CD

    D!?E!DF@CG! K!ECDTK@GC? CDFCECDL_?K@MC@!S?!!J!CAD!@MC?C?E@K@!Ka?K!DEGS?!!J!>GC?CGbICK@!KC !!J!D!!GCE@BC??KF@!JbC !K! @e?JCE!C CJEC< !EJKC CS?!Ce?JCC

    FCECaD!f@!EC!CAE!M!?KK! ! @

    g

    h

    F@Ce?JC

    i

    _QaPj?J>CJ@?@ C@CS?!

    !J!!GCE@C?k

  • !"

    #$

    %

    &

    '

    (

    )$

    %*+

    *

    '

    (

    $

    ,-+

    &

    '

    (

    !$

    +-

    &

    '

    (

    &$.!!/)012!340/50)/0564!1!4!70 0)08670 0/ 9/03!/7!30/:0/790/ 0;4!30

    %

  • !"#

    $%#

    !$

    %$'()*!+,*-

    " "

    ./ "&0 1/ #4 5 4 5 6

    7889!9:!*:-+(**!:;

    $'!,+!:*("725

    ;

    )$?@! (8!,!/(@(*

  • !"#

    $

    % &

    ' () ' "* + +

    ,$

    % &

    )

    ' ('

    "

    * +-

    .$

    % &

    )

    ' ( ' )/0' "

    "

    * - + + 1

    $

    % &

    ' (' "* 2

    !$

    % &

    ' (' "!' )* 2 2

    ))$34!5 !4/./66!780 /04 /!9:! !:!;/

    !$

    [ \)"7"

    )Q$Z!;!6: 4@6>

    ) # )

    " ) #

    # ) )

    ] ^

    _ `

    _ `

    _ `

    a b

    Gc

  • !"#

    $

    "

    %

    &$

    %

    "

    '$#

    $

    "(

    !$

    )

    %

    (

    )*$+! ,

    -

    ,./!0,',/12!3,,&4 ,0,456, !7#8!/0!256,9,0!/8 ,./!0,

    ',/12!3,

    ):

    8 !4!0/!

    %

    -

    ;

    $

    )(

    &$

    )(:

    '$

    "(

    $

    )"((

    !$

    " ":

    )$/10=/0!>200!4, !&=!?!3,242@>!0-6,!40!0!=4 &=!!

    0!=424!02A

    %

    %

    BC>/!4 ,D=!0!=4 &=!!/

    "'/

    !/4! ,D=!0!=424!028,

    E,2>/! ,10=/F'0>/!4 , !

    %

    )#G'/

    BHE,2>/! ,10=/,02A

    $

    %

    )G'/

    B

    &$

    %

    %I'/

    B

    '$

    %

    )G%'/

    B

    $

    %

    %I%'/

    B

    !$

    %

    *#'/

    B

    )I$+!

    J K

    L M 42@>!IM) M)#N O ( P (

    8!46,;

    $

    )

    L 8

    I

    Q Q

    N(R

    S S

    T T

    &$

    J K

    L )N(

    '$LN

    $LNU

    !$

    )

    L 8

    I

    Q V

    N :R

    S W

    T X

    )Y$+!Z/ ,='0'>F!0['

    " "

    ;3 M *3)#M " #\ : : : : N

    !,1,4,8@>!A=/A40', !

    ] ^)8)( !/0!256,,!3, =&='===B_!4!0/!!@>56, '0'>F!0['','[40'9\!

    @>!1==1!2,1,4,B

    $

    " "

    ;3 M *3)#M)I #\ : : : : N

    &$

    " "

    ;3 M *3)#M)" #\ : : : : N

    '$

    " "

    ;3 M *3 M)I #\ ( : ( : N

    $

    " "

    ;3 M *3 M)" #\ : ( ( : N

  • !"#

    !$

    " "

    %& ' (&)#')* #+ , , , , -

    ).$/!01 121234!51261478!&12

    9

    :;!2021

    ? @

    9 " " ), , -A!&20!;434!51

    61478!&1

    )

    9:;!1 27120126141412051:; 51

    I754!51!8!4!01

    (K8LAL159108AE%

    $.#*

    F$)##*

    6$)K#*

    $)M#*

    !$).#*

    "#$/ 11718N41

    ?@

    :&:;!2021

    ? @ ?@

    K "

    & & & F &):&G , G - , O

    !2F! 1:;!

    )

    !

    "

    2>15J9!2 !:;=>1

    K "

    & & & F #G , G - A !0!54!10!5P811:;8

    ?@

    :& #Q %

    $

    R SMA(, ,

    F$

    R SKA", ,

    6$

    R S)A",

    $

    R SKAM

    !$

    R SA*

  • !"#

    $%&'(&)(*)+,&(,(-./012./034$'(5$'6

    '&)&07'(8()(9$'(./014(8$8)&8((8$5:;

    00

    0=

    ?

    .

    @

    !

    0.

    !

    0@

    >

    1

    A

    01

    0A

    3

    ?

    B

    03

    !

    0B

    !

    7

    0/

    ?

    07

    >

    ./

    ?

    (8$5:;IJ!KLH!MH!K!L JJHF?J FGNOJMJPJQPFR !F JL!HSPJH!P

    T UR>

    VWJQ>K!KFJHQNX!KFJH!? KM!PFGHRMJ !QJKFHQHYG!Z

    DF[?H!K?!L!JL!HSPJ

    T UR#

    V

    >D

    \]

    \]

    FI F!^

    MHLJ J

    I

    JL!HSPJ

    T U R>

    V

    ?D

    \]

    FI #^MHLJ JI

    JL!HSPJ

    T U?R#

    V

    DFGNOJF[ !?H!K?!L!JL!HSPJ

    T U?R!

    V

    !DK!

    T U

    C

    I R?_

    !

    T U

    "

    I R!_ !LOJ

    \ ] \ ]

    C "

    FI FI`

    V

    abcdcefZ

    abcdghijdZ

    DkEWdaabefRMJKJL!HSPJ

    T U T U?R# R#l

    FGNOJ[ !?H!K?!L!V

    >DkEWdaabefRMJK

    \]

    \]

    F! FI^

    MHLJ J

    T UI R>_

    V

    ?DkEWdaabefRMJK

    \]

    FI #m MHLJ J

    T UI ?R#_

    V

    DWdaabefRMJK

    C "

    I In ` !Q

    T U?R!

    L!QoK!

    \ ] \ ]

    C "

    FI FIm RJGK!pRF[ !?H!K?!L!!Q

    T U?R!

    V

    !DkEWdaabefRMJK

    \ ] \ ]

    C "

    FI # FIm m V

    "DhQL!!L! JbI[H?LJ!KLFq! JGQP!SLQ!LJLJMJHF?J H!OJJ !K!HH!Pq J

    GQ!I!H?r?J !?QMJVbP!YG!H !L!HQHPHGH JHJYG!?JHLH!OJ!MJHKKJ JLJGJK

  • !"#

    $!%&!$'()*! +!&)$,+(*)% )$')&)$-

    .

    /%+(0)(!1%!!2!)3$!(0)%)%&(+(!+4!

    5

    /%+!$&*1%!!2!6*)%)*78)+(!+) !!2!$!!*)&(49+(*)%%+')&):

    $&&!;+!&()$ !

    5

    -6(!&)!)3&!0!%++! !

    (

    ?

    @

    '()=%2)

    A

    .:5BC%26)2(%( )()1%!

    !2!!*)&()%D

    4;?+!&()$B

    34??+!&()$B

    *4

    ;?

    "

    +!&()$B

    4?+!&()$B

    !4

    E-F

    +!&()$B

    GHIJIK.,

    GHIJLMNOJ,

    .2(%( )()P+! !.5BQ)&(=%2)(!&=%2)

    .5:-&!+)$

    .5 .5

    A

    &: & ? .5 ;?+

    ? ;

    5:

    @

    R S R R S R B

    ?4H+%+&(!+!&) (+ !.(&27(-!

  • !"#

    !$

    %"

    &

    '

    (

    )*+,+-./

    )*+,0123,/

    +!45

    .

    67

    8

    6!

    9

    6:;6:; !?!;.

    7

    8

    !976!;@!=AB5!A!(9:5:;;C5!D;!

    EC!:;=F6=CY/

    $

    M

    "

    b$

    J

    %

    =$

    M

    J

    $

    "

    J

    !$

    J

    L

    )*+,+-./=

    )*+,0123,/

    9:5:

    J "

    JN# " J %P U U7!AG:;CECA ! ! B;:6!;A!6:;@:;AB:;Y

    H IH I

    H IH I

    cJN# JM "M MM "&P S U S US P

    (:6AA:7:a5!6: !!HI

    "&e P

    6!=:A66ECA ! ! B;:6!; !JN#EC!;G:5a

  • !"#

    $%&'!()*+,+-!./'")0'"*"

    1

    0-*")!".',+-!.*-2340-+'")0+").0**"!4"!

    !")*",+-!.*-5

    67

    #

    81 91 #1: ; "--)".)*+T),+-!.*-)MB)

  • !"#

    $%%&'()&!*( !+!%%(%,-!*!%+( !-.+!%,-%/(

    01

    2 3#4#44# "4#5 6 6 66 5 7

    389(:*!;-* "4? @A> 4#?AB #6 C 6 C 5

    '%%D!DE!*E(&!(*F=7

    8$ %EG;/(;DF

    B

    !89-!>;!E*; !F

    #'H

    7

    IJ9K9L$M!

    IJ9KN2OPKM

    0 1

    0 1

    0 1

    0 1

    0 1

    0 1

    " " " "

    "

    "

    ""

    => "4? @A> 4#?AB # => B> B "4? "? AB @A "4

    ?

    > "

    => " "4? ""4

    "4 =

    6 C 6 C 5 Q C 6 6 6 6 5 6 6

    6

    C

    Q C 6 6 5 Q 6 5

    N(('!,-RS(*!+*!%!E-&!D+%! !;!E*(0 1"'C '!>(&(*T(*U(ED'( !

    "

    "4 45 Q 5 '

    "

    : = : @5 Q 5 !

    " " " "

    : ; ; "4= A ; B5 6 Q 5 C 5 Q 5 7

    $%%&'(!>(&(*F" #5 '(!>(&!(*F": A5 ' %EG;/(;DF"; H5 !!>;!E*; !

    ; B

    #'H

    4

    V5 5 5 7

    H8W(% !*!-&D*X,-!E!&/(*& !-&!%/!* !*(B;&';(&+(%E !"(&(%

    !>E&!E!-%7$%-+!*/Y;! !; (&(&! !M

    8

    @

    "

    B

    ;&

    @

    Z

  • !" #

    $%

    &

    '

    ()

    *

    +

    (%

    '

    ()

    &

    +

    !%

    '

    ()

    *

    +

    "%

    &

    ' ()+

    ,-./.012

    ,-./3456/2

    7!8)89:)(:;"(")!?8>!8B1

  • !"#$

    %&

    '( $)

    !&

    #'(*)

    "&

    #'( $)

    +,-.-/01!

    +,-.2345.1

    .6"789'(

    07":;(

  • !"#$

    %&'!(("')*!(!"'&+,-"&).((/(&0,(

    12

    3

    +(+&*4,('5*"

    12

    3 $ 3 3 #

    #

    6 78 9 9 : 6

    ;

  • !"#$

    %

    & '()$

    *%

    & '+),

    -%

    & '$)+

    !%

    & '()#,

    "%

    & '#)#,

    ./010234"

    ./01567814

    39":;:#

    ,$G($$ #,$?A @

    "

    #

    ($G($$ >($?A @

    H

    39"-;C:9DE!=!!"?IDJB;!"

    K

    L;9

    MN

    M N

    K# #$

    0K $K#$

    #

    O A

    @ @ O H

    3CC?)!"F"?;C:"94

    MN

    #,$ 0K >($ #,$$K#$ >($ #$$K #,$ # K #,P P Q P O P Q P P Q P P )

    ;DC"R)

    & 'K #)#,S

    H

    >%1"

    \

    ./010234

    ./01567814

  • !"#$

    $

    % # $ % %

    !"&%

    $

    '

    ( )

    * +

    , - , .

    * +

    * +

    / 0

    12!"!"&% 3,

    4"5"6"&2

    #3

    '

    !6&789"7:;5"L22M&!272&NO2!"P$1"67"5NO2Q27"61!2K6"72

    A26>5"L2F1!"&"76"

    3

    8

    G

    I'

    MI'F

    AI#'

    !I#''

    "I# #F

    RSJ4JT%G"

    RSJ4UVWX4G

    4K6"72A26>5"L22M&!272&NO2!"P$1"67"5NO2Q27"61!2K6"72A26>5"L2F;

    D E D E

    8 A:P$ , F . , F .,'F?

    %::61

    D E D E D E D E

    3 3 #

    3 # 3

    8 3 3 33# #,'F ,' F.' .F.' .F ,'F F', F ?

    YI@2:!"7"7:67"7:6275;

    I

    3

    ]A6

    ?

    MI

    3

    3 A6

    ?

    AI

    3

    ]3A6

    ?

    !I

    3

    3 3A6?

    "I

    3

    H$A6

    ?

    RSJ4JT%GM

    RSJ4UVWX4G

    2^>7:62751&"62:

    M

    U M

    U

    3

    3

    3

    , _ ,

    "2925

  • !"#$

    %&&'&()*+,-"+&*.

    / /

    #0 1 ,

    2 2

    0 "&'&34+"5

    6 7

    #

    #

    / 2 / 2

    88 88

    9 #

    # #

    0 : : 0 : 1 :

    ;

  • !"#$

    %&'"()!!*+,-,./"-0,

    # #

    12 3 42$3 #5 $6 7 7 7 7 8

    "*9*:*

    ; ?;@ ")-"ABC**"2*!+D+,+++EF":"-)"" ?K #;58@ @ "-*#

    E

    K9*:*+)=:-,*!*9*:*> ?;@ ")-"ABC**"2*!+D+,+++=> ? ;@@ E

    M,-,./"-0,,*,0:-,G6" ? ;@@ !"S":"-,":-* > ?K #;58@ @ "

    -*.A

    > ?

    > ?

    > ?

    > ?

    # #

    # #

    K # 5 4 %8 @@@ 7@@@ 8 7 8 EM++);" ?

    > ?

    > ?

    #

    ##

    # #

    2 # 3 5 % 2 3 42$3# $7 7 7 8 T 7 7 7 7 8 E

    &F":*!*+*+U)"-*+,*)9A"2*+

    V

    ?

    V # # @ @ 8;"2+:".)U)"-*

    ,*)9A"2*

    V ?

    # #@ "-**9A*!"M-!XY.++;,*/*-)"-"9-"+":!*

    /.-+".-1

  • !"#$

    %&'"()*)'+,"-)

    .'/+(0-')!)("'12"(/"34)"2("*(*56"(7*")/"'"2)

    %895",)("')*"2()!*(*56"(7*:

    ; < ; ?>> =

    %@ %8 ##= >= >

    A)')%A@ %B8C C D2"')/

    %A %@ %A ## ## E #

    %A

    # #

    %B %8

    ## #

    > > >

    = F = F = = :

    G)2"95"%A1+(2"(",!"

    .D,))

    ; >

    = >

    :

    I%/&'"()/25(/J'+("//4)!/+)/2)/*)')')/2()95!()

    %+('"()","'"2)!

    EK,LDL)(.)2,D1M

    IN$O

    PI$$O

    *IK$O

    !IQ$O

    "IN$O

    HRS%ST8M"

    HRS%UVWX%M

  • !"

    #$%&!!"!"'(")*+"+,)&*+&-

    .

    /0-

    1 2

    3. .

    3 4 . 5 4

    6 7

    6 66 6 8 8 9#++(:*

    ;)(")*"/"("&*!

    .4/0:0*)