examen de matemática zapandí 01-2016

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  • 7/25/2019 Examen de Matemtica Zapand 01-2016

    1/31

    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 3

    \KIKLLNO

    3) Laosn`krk ias snmunkotks odkras8

    Luiks `k kiias larrkspao`ko c odkras lao kxpcosno `klndci nognontc, oa

    pkrn`nlc1

    c) \aia ki N

    b) \aia ki NNN

    l) Ki N y ki NN

    `) Ki NN y ki NNN

    2) Ki odkra < 33

    ko oatclno `klndci ks cpraxndc`cdkotk

    c) ;

    l) 32,::

    `)

  • 7/25/2019 Examen de Matemtica Zapand 01-2016

    2/31

    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 2

  • 7/25/2019 Examen de Matemtica Zapand 01-2016

    3/31

    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk ,60 ld

    l) 32,67 ld

    `) 3>,=: ld

    C @

    B

    ;6a

    L2) Lui ks ki rkc ictkrci k uo prnsdc rklta `k bcsk luc`rc`c, sn ic dk`n c`k lc`c ic`a `k ic bcsk ks 30 ld y ic dk`n`c `k ic citurc `ki prnsdc ks37ld1

    c) 220 ld2

    b) 006 ld2

    l) 6>7 ld2

    `) 3

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    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 37

  • 7/25/2019 Examen de Matemtica Zapand 01-2016

    17/31

    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 3=

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    18/31

    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 36

  • 7/25/2019 Examen de Matemtica Zapand 01-2016

    19/31

    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 3>

    3

    x xx

    `)2

    2

    23 < 2

    > 3

    x x

    x

    N. Ki lalnkotk ks .

    NN. Ki rksn`ua ks :.

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    20/31

    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 2:

    ) Ki rksuitc`a `k rclnaocinzcr ic kxprksno >: :::

    `) < 7

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    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 2,0 /a

    v d s , kotaolks, Luota tnkdpa tcr`c ic pkiatc ko lckr ci

    sukia1

    c) < s

    b) 7 s

    l) 20,; s

    `) ,0 /a

    v d s , kotaolks, Lui ks ic citurc dxndc quk cilcozc ic

    pkiatc1

    c)

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    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 20

    07) \n ic pkiatc lck ci sukia c ias 3: s, kotaolks, Lui guk ic vkialn`c` nonlncilao quk Zk`ra icoz ic pkiatc1

    c) 0,>: d/s

    b) >,;3 d/s

    l) >,6: d/s

    `) 0>,:: d/s

    0=) Laosn`krk ics snmunkotks prapasnlnaoks8

    Luiks `k kiics sao vkr`c`krcs1

    c) Cdbcs

    b) Onomuoc

    l) \aia ic N

    `) \aia ic NN

    N. Ki mrasar `k ics idnocs `k dc`krc ko uo tciikr,larrkspao`k c uoc vcrncbik lucotntctnvc `nslrktc.

    NN. Ki rkc `k lc`c uoc `k ics snktk pravnolncs kLastc Rnlc, larrkspao`k c uoc vcrncbiklucotntctnvc laotnouc.

  • 7/25/2019 Examen de Matemtica Zapand 01-2016

    25/31

    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 2;

    Laosn`krk ki snmunkotk laotkxta pcrc rkspao`kr ics prkmuotcs 06 y 0>8

    06) [o khkdpia `k vcrncbik lucotntctnvc `nslrktc larrkspao`k c

    c) Ic kstcturc

    b) Ics kogkrdk`c`ks

    l) Ic csnmocturc prkgkrn`c

    `) Ic lcotn`c` `k fkrdcoas

    Ki lukstnaocrna

    Ic pragksarc `k dctkdtnlcs `k uo laikmna pn`k c sus kstu`ncotksladpiktcr ki snmunkotk lukstnaocrna pcrc kicbarcr uo kxpk`nkotk parlc`c kstu`ncotk8

    Lukstnaocrna No`nvn`uci

    Ladpiktk ki lukstnaocrna ko gardc no`nvn`uci. Ic nogardclno ks

    laogn`kolnci y skr pcrtk `ki kxpk`nkotk `k lc`c uoa `k ustk`ks.Oadbrk ladpikta

    @nrkllno `ki famcr

    K`c` (cas ludpin`as)Odkras tkikgonlas(lcsc y lkiuicr)

    Gklfc `k Oclndnkota Odkra `k l`uic8Lao quno vnvk1 Zcp ( ) Dcd ( ) Cbukia (c) Atras ( )Lcotn`c` `k fkrdcoas Csnmocturc prkgkrn`cKstcturc Dcsc (pksa)Kogkrdk`c`ksLuiks1

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    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 27

    0>) [o khkdpia `k vcrncbik lucotntctnvc laotnouc ks ic

    c) Dcsc

    b) Gklfc `k oclndnkota

    l) K`c` ko cas ludpin`as

    `) Lcotn`c` `k pkrsaocs lao ics quk vnvk

    ;:) Laosn`krk ics snmunkotks sntuclnaoks8

    Luiks `k kiics larrkspao`ko c kvkotas pcrc ias luiks su prabcbnin`c`onlcdkotk puk`k skr kstndc`c dk`ncotk ki kdpika `k ic grklukolncrkictnvc (prabcbnin`c` grklukolnci)1

    c) Cdbcs

    b) Onomuoc

    l) \aia ic N

    `) \aia ic NN

    N. [o kstu`ncotk oklksntc ladprcr uo luc`kroa `k 3:: fahcs,(skmo sk no`nlc ko ic partc`c `ki luc`kroa) y `kskc laoalkric prabcbnin`c` `k quk ki luc`kroa quk ladprk tkomc ds `k3:: fahcs.

    NN. [o mrupa kst laogardc`a par

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    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 2=

    Laosn`krk ki snmunkotk laotkxta y rkspao`c ics prkmuotcs ;3, ;2 ^ ; :62 06:: Lcrtcma 0>: >:< 066 7=3 23>6

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    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 26

    ;2) @k ic pabiclno tatci lao vnvnko`c no`nvn`uci, Lui ks ic pravnolnc qukpaskk ic dkoar grklukolnc rkictnvc1

    c) Indo

    b) Cichukic

    l) Fkrk`nc

    `) Mucoclcstk

    ;

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    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk 2>

    Laosn`krk ki snmunkotk laotkxta y rkspao`c ics prkmuotcs ;0 y ;;8

    ;0) Lui ks ic prabcbnin`c` grklukolnci `k quk scimc uo ;1

    c) :,3: %

    b) :,3= %

    l) :, x3: x

    O8 ki icozcdnkota

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    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    Inl. Dcrla Cotaona Lubniia Durrcy Zcmk

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    Kxcdko `k Dctkdtnlc, Oavkoa ca (Xcpco`)

    lao \aiulnaocrna laovalctarnc :3 2:372:37

    \AI[LNAOCRNA

    Ntkd Licvk Ntkd Licvk Ntkd Licvk Ntkd Licvk

    3 B 37 C