7(0$7<=&+(0,,

SRXIQHVWURQD]



32'.$53$&.,.85$7252 :,$7<

(*=$0,1'2-5=$á2 &,

2EM WHWDMHPQLF HJ]DPLQDF\MQ  GRGQLDPDMDUGRJRG]

:.3²²&+,



7(0$7<=&+(0,,

GRSLVHPQHJRHJ]DPLQXGRMU]DâR FLZHZV]\VWNLFKW\SDFKV]Nyâ UHGQLFKGODPâRG]LH \

ZURNXV]NROQ\P

PDMDUJRG]





,QIRUPDFMHGODSU]\VW SXM F\FKGRSLVHPQHJRHJ]DPLQXGRMU]DáR FL]FKHPLL

 ´ =HVWDZ]DZLHUD]DGD ]NWyU\FKQDOH \Z\EUDüWU]\LLFKUR]ZL ]DQLDSU]HGVWDZLüGRRFHQ\

:DUNXV]XRGSRZLHG]LQDOH \ZVND]DüQXPHU\]DGD SRGDM FÄZ\ELHUDP]DGDQLDQU´

´ .D GH]DGDQLH]DZLHUD

± SROHFHQLD R]QDF]RQH OLWHUDPL $ % SU]H]QDF]RQH GR UR]ZL ]DQLD SU]H] ZV]\VWNLFK

]GDM F\FK

± SROHFHQLDR]QDF]RQHJZLD]GN QS* ±SU]H]QDF]RQHGRUR]ZL ]DQLDRERNSROHFH $%

SU]H]]GDM F\FKNWyU]\UHDOL]RZDOLFKHPL ZZ\PLDU]HPQLHMV]\PQL JRG]LQZF\NOX

NV]WDáFHQLD QS NODV\ R SURILOX RJyOQ\P ]HVWDZ SROHFH  Z MHGQ\P ]DGDQLX REHMPXMH

SROHFHQLD$%* + RUD]QLHREHMPXMHSROHFH R]QDF]RQ\FKGZRPDJZLD]GNDPL

* + 

± SROHFHQLD R]QDF]RQH GZRPD JZLD]GNDPL QS *  SU]H]QDF]RQH GR UR]ZL ]DQLD RERN

SROHFH $%SU]H]]GDM F\FK]NODVZNWyU\FKFKHPLDUHDOL]RZDQDE\áDZZ\PLDU]H

PLQLPXP  JRG]LQ Z F\NOX NV]WDáFHQLD QS NODV\ R SURILOX ELRORJLF]QRFKHPLF]Q\P

]HVWDZSROHFH ZMHGQ\P]DGDQLXREHMPXMHSROHFHQLD$%* + LQLHREHMPXMH

]DGD * + 

´ =DSHáQHSRSUDZQHUR]ZL ]DQLHND GHJR]DGDQLDUR]ZL ]DQLHSROHFH QS$%* +  PR QDX]\VNDüá F]QLHSXQNWyZ

´ 3RGF]DVUR]ZL ]\ZDQLD]DGD QDOH \X \ZDüSRSUDZQHJRM ]\NDFKHPLF]QHJRSUH]HQWRZDüWRN

UR]XPRZDQLDDZ]DGDQLDFKUDFKXQNRZ\FKSDPL WDüRMHGQRVWNDFK

 ´ 1LHQDOH \X \ZDüNRUHNWRUyZDQLF]HUZRQHJROXE]LHORQHJRDWUDPHQWXOXEWXV]XJG\ V RQH

]DUH]HUZRZDQHGODNRPLVMLHJ]DPLQDF\MQ\FKLHJ]DPLQDWRUyZ

 ´ &]DVSU]H]QDF]RQ\QDUR]ZL ]\ZDQLH]DGD ±JRG]LQPLQXW

 ´ 3RGF]DVUR]ZL ]\ZDQLD]DGD PR QDNRU]\VWDü]]Dá F]RQ\FKWDEOLFLNDONXODWRUD

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

=DGDQLH

3RQL HMSU]HGVWDZLRQRVFKHPDWUHDNFMLRWU]\P\ZDQLDUy Q\FK]ZL ]NyZRUJDQLF]Q\FK]HWHQXHW\OHQX

&+ &+_{ } &+ &+ &O_{ } &+ &+ 2+_{ } &+ &+2_ &+ &22+_ &+ &22 &D_{ }

&+ &221D_



 

  





8:$*$ 5R]ZL ]XM FSRV]F]HJyOQHSROHFHQLDSDPL WDMDE\Z]RU\]ZL ]NyZRUJDQLF]Q\FKSU]HGVWDZLDüZIRUPLH

SyáVWUXNWXUDOQHM



$ 3U]HGVWDZ]DSRPRF UyZQD FKHPLF]Q\FKUHDNFMH]D]QDF]RQHQDSRZ\ V]\PVFKHPDFLH

% 3RGDMQD]Z\RUJDQLF]Q\FKSURGXNWyZSRZ\ V]\FKUHDNFML

& 2EOLF] LOH JUDPyZ ]ZL ]NX RUJDQLF]QHJR SRZVWDQLH Z UHDNFML QU  ]DNáDGDM F H UHDNFMD WD

SU]HELHJD]Z\GDMQR FL DGRUHDNFMLX \WRJHWHQX

' 2EOLF] VW HQLH SURFHQWRZH UR]WZRUX RWU]\PDQHJR SR UR]SXV]F]HQLX  J VXEVWDQFML SRZVWDM FHM

ZUHDNFMLQUZJUDPDFKZRG\GHVW\ORZDQHM

( -DNL MHVW RGF]\Q UR]WZRUX VXEVWDQFML SRZVWDM FHM Z UHDNFML QU  8]DVDGQLM RGSRZLHG  SLV] F

RGSRZLHGQLHUyZQDQLDUHDNFMLZIRUPLHF] VWHF]NRZHMMRQRZHMLMRQRZHMVNUyFRQHM

)  1DSLV] Z]RU\ SyáVWUXNWXUDOQH L SRGDM QD]Z\ F]WHUHFK ]ZL ]NyZ R Z]RU]H VXPDU\F]Q\P &+ SDPL WDM FDE\SU]\QDMPQLHMMHGHQ]QLFK]DZLHUDááD FXFKUR]JDá ]LRQ\

)  =VXEVWDQFMLSRZVWDM FHMZUHDNFMLQULPR QD EH]SR UHGQLRRWU]\PDüVXEVWDQFM SRZVWDM F  ZUHDNFMLQU3U]HELHJWHMUHDNFMLZ\PDJD]DVWRVRZDQLDVLOQHJRXWOHQLDF]DQSPDQJDQLDQX9,, SRWDVX1DSLV]ZIRUPLHF] VWHF]NRZHMUyZQDQLHUHDNFML]X \FLHPWHJRXWOHQLDF]DZ URGRZLVNX

NZDVX VLDUNRZHJR9, :VSyáF]\QQLNL VWHFKLRPHWU\F]QH QDOH \ X]JRGQLü PHWRG  ELODQVX

HOHNWURQRZHJR

*  =DSLV] UyZQDQLD UHDNFML FDáNRZLWHJR VSDODQLD HWDQX L HWHQX 2EOLF] REM WR ü SRZLHWU]D

ZZDUXQNDFKQRUPDOQ\FKSRWU]HEQ GRFDáNRZLWHJRVSDOHQLDPLHV]DQLQ\]áR RQHM]GP^HWDQX

LGP^HWHQXSU]\MPXM F HSRZLHWU]H]DZLHUDREM WR FLRZ\FKWOHQX

*  5R]WZRURZLVXEVWDQFMLSRZVWDM FHMZUHDNFMLRVW HQLXPROGP^RGSRZLDGDS+ 

2EOLF]SU]\EOL RQ ZDUWR üVWRSQLDG\VRFMDFML&+&22+ZW\PUR]WZRU]HLVWDá G\VRFMDFMLWHJR

NZDVX

+  6XEVWDQFM  SRZVWDM F  Z UHDNFML QU  PR QD UyZQLH  RWU]\PDü ] HWDQX 1DSLV] UyZQDQLH

RWU]\P\ZDQLD WHM VXEVWDQFML ] HWDQX RNUH O W\S WHM UHDNFML SRVáXJXM F VL  SRG]LDáHP

FKDUDNWHU\VW\F]Q\PGODFKHPLLRUJDQLF]QHMRUD]ZDUXQHNMHMSU]HELHJX

+  2EOLF] HQWDOSL  UHDNFML &+J   2J   &2J   +2J ]QDM F VWDQGDUGRZH HQWDOSLH

WZRU]HQLD&2L&+

D+^WZ&2J ±N-PRO

D+^WZ&+J N-PRO

RUD]HQWDOSL WZRU]HQLD+2JNWyUDZ\QRVL±N-PRO

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

=DGDQLH

3RQL HMSU]HGVWDZLRQRV]HUHJSUREOHPyZ]ZL ]DQ\FK]ZáD FLZR FLDPLFKORUX

$ 2NUH OEXGRZ DWRPXFKORUX^&OSRGDM F

” VNáDGM GUDDWRPRZHJR

” NRQILJXUDFM HOHNWURQRZ 

% 'R FHOyZ ODERUDWRU\MQ\FK FKORU PR QD RWU]\PDü PL G]\ LQQ\PL G]LDáDM F Z SRGZ\ V]RQHM

WHPSHUDWXU]H NZDVHP VROQ\P QD WOHQHN PDQJDQX,9 3URGXNWDPL WHM UHDNFML RSUyF] FKORUX V 

FKORUHNPDQJDQX,,LZRGD

1DSLV]UyZQDQLHRSLVDQHMUHDNFMLZVSyáF]\QQLNLVWHFKLRPHWU\F]QHQDOH \GREUDüPHWRG ELODQVX

HOHNWURQRZHJR 2EOLF] MDN  REM WR ü Z GP^ Z ZDUXQNDFK QRUPDOQ\FK ]DMPLH FKORU MH HOL

ZUHDNFMLX \WRFP^NZDVXRJ VWR FLr JFP^SU]\]DáR HQLX HUHDNFMDSU]HELHJD

]HZ\GDMQR FL 

& &KORUUHDJXMH]ZLHORPDSLHUZLDVWNDPL0L G]\LQQ\PL]VRGHPNWyU\VSDODQ\ZFKORU]HWZRU]\

FKORUHNVRGX1DSLV]UyZQDQLHUHDNFMLV\QWH]\FKORUNXVRGX

3LV] F NRQILJXUDFM  HOHNWURQRZ  DWRPyZ L MRQyZ REX SLHUZLDVWNyZ RUD] XZ]JO GQLDM F ZDUWR FL

LFKHOHNWURXMHPQR FLZ\MD QLMMDNGRFKRG]LGRXWZRU]HQLDZL ]DQLD2NUH OW\SWHJRZL ]DQLD

' :GZyFKSUREyZNDFK]QDMGXM VL ZRGQHUR]WZRU\FKORUNXVRGXLFKORUNXJOLQX2SLV]GZLHUy QH

PHWRG\LGHQW\ILNDFMLW\FKVROL8]DVDGQLMVZRMHSURSR]\FMHSLV] FRGSRZLHGQLHUyZQDQLDUHDNFML

OXE]D]QDF]DM F HUHDNFMDQLH]DFKRG]L

( 2EOLF]]DZDUWR üSURFHQWRZ F]\VWHJR1D&OZSHZQHMSUyEFHMH HOLUR]SXV]F]RQRZZRG]LHJ

VXEVWDQFMLDQDVW SQLHGRGDQRQDGPLDUUR]WZRUX$J12D GRFDáNRZLWHJRZ\WU FHQLDRVDGX3R

Z\VXV]HQLXRVDGZD \áJUDPyZ

)  &KORU Z SHZQ\FK ZDUXQNDFK WZRU]\ WOHQNL Z NWyU\FK Z\VW SXMH QD , ,,, ,9 9, L 9,, VWRSQLX

XWOHQLHQLD

” 1DSLV]Z]RU\WOHQNyZFKORUXQD,,,,L9,,VWRSQLXXWOHQLHQLD

” 7OHQNLFKORUXPDM FKDUDNWHUNZDVRZ\5HDJXM ZRNUH ORQ\FKZDUXQNDFK]]DVDGDPL1DSLV]

UyZQDQLDUHDNFMLWOHQNXFKORUX,,,LWOHQNXFKORUX9,,]1D2+RUD]SRGDMQD]Z\WOHQRZ\FK

VROLFKORUXE G F\FKSURGXNWDPLW\FKUHDNFMLNZDV\NWyU\FKSRFKRGQ\PLV WHVROHWRNZDV\

MHGQRSURWRQRZH

)  1D VNDO  WHFKQLF]Q  FKORU RWU]\PXMH VL  SU]HSURZDG]DM F HOHNWUROL]  VWRSLRQHJR 1D&O OXE MHJR

ZRGQHJRUR]WZRUX

1DSLV]UyZQDQLDUHDNFMLHOHNWURGRZ\FKNWyUH]DFKRG] SRGF]DVHOHNWUROL]\VWRSLRQHJR1D&OLMHJR

ZRGQHJR UR]WZRUX 2EOLF] LOH GP^ FKORUX Z ZDUXQNDFK QRUPDOQ\FK PR QD RWU]\PDü SRGGDM F

HOHNWUROL]LHJVWRSLRQHJRFKORUNXVRGXSU]\]DáR HQLXZ\GDMQR FLSURFHVXHOHNWUROL]\

*  3U]HSURZDG]RQRQDVW SXM FHGR ZLDGF]HQLH

'RWU]HFKSUREyZHN]DZLHUDM F\FKUR]WZRU\.).%U.,GRGDQRZRG FKORURZ 

=D SRPRF  UyZQD  UHDNFML SU]HGVWDZ SU]HPLDQ\ ]DFKRG] FH Z SRV]F]HJyOQ\FK SUREyZNDFK OXE

]D]QDF] HUHDNFMDQLH]DFKRG]L6IRUPXáXMZQLRVHNNWyU\Z\QLND]WHJRGR ZLDGF]HQLD

8ZDJD:UyZQDQLDFKUHDNFMLQDOH \ZXSURV]F]HQLXVWRVRZDüZ]yU&OGODZRG\FKORURZHM

*  3RGF]DVUR]FLH F]DQLD6E&OZZRG]LHZ\WU FDVL ELDá\RVDG6E2&OLSRSHZQ\PF]DVLHXVWDODVL  VWDQUyZQRZDJLNWyU\PR HP\]LOXVWURZDüUyZQDQLHP

6E&O+26E2&O+&O

2NUH OZNWyU VWURQ SU]HVXQLHVL UyZQRZDJDWHMUHDNFMLMH HOLGRXNáDGXGRGDP\ZL FHMZRG\

6ZyMZQLRVHNX]DVDGQLMZRSDUFLXRUHJXá SU]HNRU\

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

=DGDQLH

3RQL HMSU]HGVWDZLRQRVFKHPDWRWU]\P\ZDQLDUy Q\FK]ZL ]NyZZDSQLD

&D

$ ( $

-

* ' (

%

&+ &22+_

+&O

+ 2_ 2_ + 2_

+ 32_{ }

&2_

WHPS  &~ 

  













$ =DSRPRF UyZQD UHDNFMLSU]HGVWDZSU]HPLDQ\]D]QDF]RQHQDSRZ\ V]\PVFKHPDFLH

% 3RGDMQD]Z\]ZL ]NyZ$%'(*-

& 3LV] FRGSRZLHGQLHUyZQDQLDUHDNFML]DSURSRQXMGZLHLQQHPHWRG\RWU]\P\ZDQLD]ZL ]NX*QL  ]D]QDF]RQDQDVFKHPDFLH

' 2NUH O RGF]\Q ZRGQHJR UR]WZRUX ]ZL ]NX ' 6ZyM ZQLRVHN X]DVDGQLM SLV] F RGSRZLHGQLH

UyZQDQLDUHDNFMLZIRUPLHF] VWHF]NRZHMMRQRZHMLMRQRZHMVNUyFRQHM

( 2EOLF]LOHPROLLOHGP^ZZDUXQNDFKQRUPDOQ\FKLLOHF] VWHF]HNJD]XZ\G]LHOLVL ZUHDNFML

JZDSQLD]ZRG 1DOH \SU]\M üZ\GDMQR üWHMUHDNFML

) 3LV] F NRQILJXUDFM  HOHNWURQRZ  DWRPX &D Z\MD QLM GODF]HJR ZDS  Z\VW SXMH Z ]ZL ]NDFK

Z\á F]QLHQD,,VWRSQLXXWOHQLHQLD

*  : JODQZDSQLDZWHPSHUDWXU]HRNRáR&XOHJDUR]NáDGRZLQDGZDWOHQNL2EOLF]LOHGP^JD]X

Z ZDUXQNDFK QRUPDOQ\FK Z\G]LHOL VL  Z WHM UHDNFML MH HOL UR]NáDGRZL XOHJáR  NJ PLQHUDáX

]DZLHUDM FHJR&D&2

*  -HGQ\P]ZD QLHMV]\FK]ZL ]NyZZDSQLDZ\NRU]\VW\ZDQ\FKZV\QWH]LHRUJDQLF]QHMMHVWZ JOLN

ZDSQLD&D&2WU]\PXMHVL JRZZ\QLNXVSLHNDQLDWOHQNXZDSQLD]NRNVHPZ JOHP3RZVWDMH

ZyZF]DV&D&RUD]WOHQHNZ JOD,,:UHDNFMLZ JOLNXZDSQLD]ZRG SRZVWDMHHW\Q2EOLF]LOH

GP^HW\QXPR QDRWU]\PDü]NJNRNVX]DZLHUDM FHJRF]\VWHJRZ JOD]DNáDGDM F HRELH

UHDNFMH]DFKRG] ]Z\GDMQR FL 

+  -HGQ\P]ZD QLHMV]\FK]ZL ]NyZZDSQLDZ\NRU]\VW\ZDQ\FKZV\QWH]LHRUJDQLF]QHMMHVWZ JOLN

ZDSQLD&D&2WU]\PXMHVL JRZZ\QLNXVSLHNDQLDWOHQNXZDSQLD]NRNVHPZ JOHP3RZVWDMH

ZyZF]DV&D&RUD]WOHQHNZ JOD,,:UHDNFMLZ JOLNXZDSQLD]ZRG SRZVWDMHHW\Q

=DSLV] UyZQDQLD UHDNFML L REOLF] LOH GP^ HW\QX DFHW\OHQX PR QD RWU]\PDü ]  NJ Z JOD

]DNáDGDM F HRELHUHDNFMH]DFKRG] ]Z\GDMQR FL 

+  3U]HSURZDG]RQR HOHNWUROL] ZRGQHJRUR]WZRUX&D&O 1DSLV] UyZQDQLD SURFHVyZ HOHNWURGRZ\FK

RUD]REOLF]LOHGP^JD]yZZ\G]LHOLVL QDND GHMHOHNWURG]LHMH HOLHOHNWUROL]LHSRGGDQRPROH

&D&ODHOHNWUROL]DVSRZRGRZDáDFDáNRZLW\UR]NáDG&D&O

,  'R  FP^ ZRGQHJR UR]WZRUX &D&O GRGDQR QDGPLDU UR]WZRUX 1D&2 2WU]\PDQ\ RVDG

RGV F]RQR L Z\VXV]RQR 3R Z\VXV]HQLX PDVD RVDGX Z\QRVLáD  J 2EOLF] VW HQLH PRORZH

UR]WZRUX&D&OQDOH \]DáR \ü HZ\GDMQR üUHDNFMLZ\QRVL

,  2EOLF]VWDQGDUGRZ HQWDOSL UHDNFMLUR]NáDGX&D&2

&D&2VWɎ&D2VW&2J

ZLHG] F HVWDQGDUGRZHHQWDOSLHWZRU]HQLDUHDJHQWyZZ\QRV] 

D+^WZ&D&2 ±N-PRO

D+^WZ&D2 ±N-PRO

D+^WZ&2 ±N-PRO

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

=DGDQLH

:LHOHUy Q\FK]ZL ]NyZRUJDQLF]Q\FKZ\ND]XMHZáD FLZR FLNZDVRZH1DMEDUG]LHM]QDQ JUXS WDNLFK

]ZL ]NyZ V  NZDV\ NDUERNV\ORZH 2JyOQ\ Z]yU W\FK ]ZL ]NyZ WR ;±&22+ JG]LH ; R]QDF]D

SRGVWDZQLNZ JORZRGRURZ\OXEDWRPZRGRUX

$ 1DSLV] Z]RU\ SyáVWUXNWXUDOQH L SRGDM QD]Z\ WUDG\F\MQH L V\VWHPDW\F]QH WU]HFK QDMSURVWV]\FK

NZDVyZNDUERNV\ORZ\FK

% 5R]SXV]F]DOQH Z ZRG]LH NZDV\ NDUERNV\ORZH SRGREQLH MDN NZDV\ QLHRUJDQLF]QH XOHJDM  G\VRFMDFMLHOHNWUROLW\F]QHM3U]HGVWDZUyZQDQLHLOXVWUXM FHSU]HELHJWHJRSURFHVXGODQDMSURVWV]HJR

NZDVXNDUERNV\ORZHJRLSRGDMQD]Z DQLRQX

& .ZDV\NDUERNV\ORZHUHDJXM ]PHWDODPLWOHQNDPLPHWDOLRUD]]DVDGDPLDSURGXNWDPLW\FKUHDNFML

V VROH8áy WU]\UyZQDQLDUHDNFMLNWyU\FKSURGXNWDPLE G 

” PUyZF]DQPHWDQLDQ HOD]D,,

” RFWDQHWDQLDQPDJQH]X

” SURSLRQLDQSURSDQLDQJOLQX

: ND G\P UyZQDQLX MDNR VXEVWUDWX QDOH \ X \ü LQQHJR URG]DMX VXEVWDQFML PHWDOX WOHQNX PHWDOX

LZRGRURWOHQNX

' 2EOLF] MDN  REM WR ü Z ZDUXQNDFK QRUPDOQ\FK ]DMPLH ZRGyU Z\G]LHORQ\ Z UHDNFML PDJQH]X

]FP^UR]WZRUXNZDVXRFWRZHJRRVW HQLXPROGP^1DOH \SU]\M ü HUHDNFMDSU]HELHJD

]Z\GDMQR FL 2EOLF]LOHF] VWHF]HNZRGRUX]QDMGXMHVL ZREOLF]RQHMREM WR FLJD]X

( .ZDVRFWRZ\UHDJXMH]Z JODQHPVRGXDMHGQ\P]SURGXNWyZWHMUHDNFMLMHVWWOHQHNZ JOD,9

” 2SLV]VSRVyELGHQW\ILNDFMLZ\G]LHODM FHJRVL JD]XLOXVWUXM FJRRGSRZLHGQLPUyZQDQLHPUHDNFML

” 3RGRGDQLXQDGPLDUXNZDVXRFWRZHJRGRFP^UR]WZRUXZ JODQXVRGXZ\G]LHOLáRVL GP^ WOHQNXZ JOD,9=DSLV]UyZQDQLHUHDNFMLLREOLF]VW HQLHPRORZHUR]WZRUXZ JODQXVRGX

) .ZDV\NDUERNV\ORZHPR QDRWU]\PDüSU]H]XWOHQLDQLHRGSRZLHGQLFKDOGHK\GyZ

2SLV]SU]HELHJGR ZLDGF]HQLDSU]HGVWDZLDM FHJRRWU]\P\ZDQLHGRZROQHJRNZDVXNDUERNV\ORZHJR

]RGSRZLHGQLHJRDOGHK\GXLOXVWUXM FJRRGSRZLHGQLPUyZQDQLHPUHDNFML

*  3RQL HMSU]HGVWDZLRQRVFKHPDWRWU]\P\ZDQLDNZDVXPUyZNRZHJR]FKORURPHWDQX

&+&OÉɎ&+±2+ÉɎ+&+2ÉɎ+&22+

1DSLV]UyZQDQLDUHDNFMLSU]HGVWDZLRQ\FKQDSRZ\ V]\PVFKHPDFLH

* 1D VNDO  SU]HP\VáRZ  WHFKQLF]Q\ NZDV RFWRZ\ RWU]\PXMH VL  ] DFHW\OHQX : SLHUZV]\P HWDSLH

DFHW\OHQUHDJXMH]ZRG LSRZVWDMHDOGHK\GRFWRZ\DQDVW SQLHRWU]\PDQ\DOGHK\GXWOHQLDVL GR

NZDVXRFWRZHJR

1DSLV]GZDNROHMQHUyZQDQLDUHDNFMLLOXVWUXM FHPHWRG RWU]\P\ZDQLDNZDVXRFWRZHJR]DFHW\OHQX

+  .ZDV GLNDUERNV\ORZ\ ]DZLHUDM F\ áD FXFK SURVW\ R F]WHUHFK DWRPDFK Z JOD NZDV EXWDQRGLRZ\ ZRGSRZLHGQLFKZDUXQNDFKWUDFLZRG WZRU] FF\NOLF]Q\EH]ZRGQLNRZ]RU]HVXPDU\F]Q\P&+2

:LHG] F H DWRP\ Z JOD Z ]ZL ]NDFK RUJDQLF]Q\FK V  ]DZV]H F]WHURZDUWR FLRZH QDSLV] Z]yU

VWUXNWXUDOQ\NZDVXEXWDQRGLRZHJRLMHJREH]ZRGQLND

+ .ZDV\ NDUERNV\ORZH Z UHDNFML ] DONRKRODPL WZRU]  HVWU\ -HVW WR W\SRZ\ SU]\NáDG UHDNFML

RGZUDFDOQHM 3R XVWDOHQLX VL  UyZQRZDJL UHDNFML NZDVX RFWRZHJR ] PHWDQROHP VWZLHUG]RQR H

VW HQLDUyZQRZDJRZHZ\QRVLá\

>&+&22+@ PROLGP^>&+2+@ PROHGP^>&+&22&+@ PROHGP^

2EOLF]VWDá UyZQRZDJLWHMUHDNFMLRUD]SRF] WNRZHVW HQLDNZDVXLDONRKROX

,  .ZDV\ NDUERNV\ORZH Z UHDNFML ] DONRKRODPL WZRU]  HVWU\ 5HDNFMD WD ]DFKRG]L Z REHFQR FL

VW RQHJRNZDVXVLDUNRZHJR9,

1DSLV] UyZQDQLH UHDNFML ]DFKRG] FHM SRPL G]\ NZDVHP PUyZNRZ\P L HWDQROHP SRGDM QD]Z  SRZVWDM FHJRHVWUX

:\MD QLMMDN URO VSHáQLDVW RQ\NZDVVLDUNRZ\9,ZWHMUHDNFML

1DSLV]Z]yULQD]Z LQQHJRHVWUXRWDNLPVDP\PZ]RU]HVXPDU\F]Q\P

  

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

,  6SR UyG ]ZL ]NyZ RUJDQLF]Q\FK FKDUDNWHU NZDVRZ\ Z\ND]XM  UyZQLH  LQQH ]ZL ]NL QS IHQRO

K\GURNV\EHQ]HQRUD]NZDVEHQ]HQRVXOIRQRZ\

1DSLV] UyZQDQLH UHDNFML RWU]\P\ZDQLD NZDVX EHQ]HQRVXOIRQRZHJR ] EHQ]HQX RUD] UyZQDQLD

UHDNFMLNWyUHX]DVDGQLDM IDNW HZRGQHUR]WZRU\IHQROLLNZDVXEHQ]HQRVXOIRQRZHJRSRZRGXM  ]DEDUZLHQLHXQLZHUVDOQHJRSDSLHUNDZVND QLNRZHJRQDNRORUF]HUZRQ\







=DGDQLH

7OHQNLV WRSRá F]HQLDSLHUZLDVWNyZ]WOHQHPZNWyU\FKWOHQZ\VW SXMHQD±,,VWRSQLXXWOHQLHQLD

$ .RU]\VWDM F ] XNáDGX RNUHVRZHJR XVWDO Z]RU\ WOHQNyZ SLHUZLDVWNyZ QDOH F\FK GR  RNUHVX

ZNWyU\FK GDQ\ SLHUZLDVWHN Z\VW SXMH QD QDMZ\ V]\P VWRSQLX XWOHQLHQLD 3RGDM V\VWHPDW\F]QH

QD]Z\W\FKWOHQNyZ

% .RU]\VWDM F]WDEOLF\HOHNWURXMHPQR FLXVWDOURG]DMZL ]D Z\VW SXM F\FKZW\FKWOHQNDFK

& =H Z]JO GX QD ]DFKRZDQLH ZREHF ZRG\ WOHQNL PR HP\ SRG]LHOLü QD WU]\ JUXS\ WOHQNL NWyUH

ZUHDNFML]ZRG WZRU] ]DVDG\WOHQNLNWyUHZUHDNFML]ZRG WZRU] NZDV\RUD]WOHQNLRERM WQH

ZREHF ZRG\ =DNZDOLILNXM WOHQNL SLHUZLDVWNyZ  RNUHVX GR Z\PLHQLRQ\FK JUXS RUD] QDSLV]

UyZQDQLDUHDNFML]ZRG GODGZyFKZ\EUDQ\FKWOHQNyZ

' :JUDPDFKZRG\UR]WZRU]RQRJWOHQNXVRGX3RGDMQD]Z VXEVWDQFML]QDMGXM FHMVL ZW\P

UR]WZRU]HDQDVW SQLHREOLF]VW HQLHSURFHQWRZHWHJRUR]WZRUX

(  'R SRGVWDZRZ\FK PHWRG RWU]\P\ZDQLD WOHQNyZ QDOH  UHDNFMH EH]SR UHGQLHM V\QWH]\

]SLHUZLDVWNyZXWOHQLDQLDLQQ\FKWOHQNyZUHGXNFMLLQQ\FKWOHQNyZUR]NáDGQLHNWyU\FKVROLE G  UR]NáDG QLHNWyU\FK ZRGRURWOHQNyZ 1DSLV] SL ü UyZQD  UHDNFML RWU]\P\ZDQLD W\FK ]ZL ]NyZ

GRELHUDM FGODND GHJRWOHQNXLQQ ]Z\PLHQLRQ\FKPHWRG

(  =HZ]JO GXQD]DFKRZDQLHZREHFNZDVyZL]DVDGWOHQNLG]LHOLP\QDWU]\JUXS\WOHQNL]DVDGRZH

WOHQNL DPIRWHU\F]QH L WOHQNL NZDVRZH 3RGDM WU]\ SU]\NáDG\ WOHQNyZ SLHUZLDVWNyZ  RNUHVX

QDOH F\FK GR Z\PLHQLRQ\FK JUXS RUD] SU]\ SRPRF\ UyZQD  UHDNFML Z\ND  LFK FKDUDNWHU

FKHPLF]Q\

)  2EOLF]LOHJUDPyZWOHQNXZ JOD,9LWOHQNXVLDUNL,9SRZVWDQLHZZ\QLNXFDáNRZLWHJRVSDOHQLD

JZ JODNDPLHQQHJR]DZLHUDM FHJRVLDUNL

)  3RGGDM FSUD HQLXJZ JODQXPLHG]L,,RWU]\PDQRJWOHQNXPLHG]L,,2EOLF]Z\GDMQR ü

SURFHQWRZ WHMUHDNFML

*  2EOLF] LOH GP^ WOHQNX Z JOD,9 Z ZDUXQNDFK QRUPDOQ\FK SRZVWDQLH Z UHDNFML WHUPLF]QHJR

UR]NáDGXJZ JODQXZDSQLD]DZLHUDM FHJR]DQLHF]\V]F]H 

*  2EOLF] LOH GP^ WOHQNX Z JOD,9 Z ZDUXQNDFK QRUPDOQ\FK SRZVWDQLH Z UHDNFML WHUPLF]QHJR

UR]NáDGX  J Z JODQX ZDSQLD ]DZLHUDM FHJR  ]DQLHF]\V]F]H  ]DNáDGDM F H UHDNFMD

SU]HELHJD]Z\GDMQR FL 

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD] 

PDVDDWRPRZD

V\PEROFKHPLF]Q\

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

(/(.7528-(012 ûZJ3$8/,1*$

+

 

                            ^+H



/L

 %H

 %

 &

 1

 2

 )

 1H



1D

 0J





            

$O

 6L

 3

 6

 &O

 $U



.

 &D

 6F

 7L

 9

 &U

 0Q

 )H

 &R

 1L

 &X

 =Q

 *D

 *H

 $V

 6H

 %U

 .U



5E

 6U

 <

 =U

 1E

 0R

 7F

 5X

 5K

 3G

 $J

 &G

 ,Q

 6Q

 6E

 7H

 ,

 ;H



&V

 %D

 /D

 +I

 7D

 :

 5H

 2V

 ,U

 3W

 $X

 +J

 7O

 3E

 %L

 3R

 $W

 5Q



)U

 5D

                

52=386=&=$/12 û62/,,:2'2527/(1.Ï:::2'=,(

 &O^- %U^- ,^- 1- &+&22^- 6^- 62- 62- &2-

 6L2-

 &U2-

 32-

 2+^-

/L^ 5 5 5 5 5 5 5 5 5 5 5 1 5

1D^ 5 5 5 5 5 5 5 5 5 5 5 5 5

.^ 5 5 5 5 5 5 5 5 5 5 5 5 5

1+ 5 5 5 5 5 5 5 5 5 - 5 5 5

&X^ 5 5 - 5 5 1 1 5 - - 1 1 1

$J^ 1 1 1 5 5 1 1 7 1 - 1 1 -

0J^ 5 5 5 5 5 - 1 5 1 1 5 1 1

&D^ 5 5 5 5 5 5 1 7 1 1 7 1 7

6U^ 5 5 5 5 5 5 1 1 1 1 7 1 7

%D^ 5 5 5 5 5 5 1 1 1 1 1 1 5

=Q^ 5 5 5 5 5 1 1 5 1 1 1 1 1

$O^ 5 5 5 5 5 - - 5 - 1 - 1 1

6Q^ 5 5 5 - - 1 - 5 - - - 1 1

3E^ 7 7 1 5 5 1 1 1 1 1 1 1 1

%L^ - - - 5 - 1 1 - 1 - 1 1 1

0Q^ 5 5 1 5 5 1 1 5 1 1 1 1 1

)H^ 5 5 5 5 5 1 1 5 1 1 - 1 1

)H^ 5 5 - 5 - 1 - 5 - 1 - 1 1

5VXEVWDQFMDUR]SXV]F]DOQD7VXEVWDQFMDWUXGQRUR]SXV]F]DOQD1VXEVWDQFMDQLHUR]SXV]F]DOQD

-R]QDF]D]HGDQDVXEVWDQFMDDOERUR]NáDGDVL ZZRG]LHDOERQLH]RVWDáDRWU]\PDQD

6=(5(*(/(.752&+(0,&=1<0(7$/,

(OHNWURGD (^>9@

/L/L^ 

&D&D^ 

0J0J^ 

$O$O^ 

0Q0Q^ 

=Q=Q^ 

&U&U^ 

)H)H^ 

&G&G^ 

&R&R^ 

1L1L^ 

6Q6Q^ 

3E3E^ 

)H)H^ 

++^ 

%L%L^ 

&X&X^ 

$J$J^ 

+J+J^ 

$X$X^ 

32'.$53$&.,.85$7252 :,$7<

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

(*=$0,1'2-5=$á2 &,

2EM WHWDMHPQLF HJ]DPLQDF\MQ  GRGQLDPDMDUGRJRG]

:.3²²&+,



./8&==&+(0,,

GRSLVHPQHJRHJ]DPLQXGRMU]DâR FLZHZV]\VWNLFKW\SDFKV]Nyâ UHGQLFKGODPâRG]LH \

ZURNXV]NROQ\P

PDMDUJRG]



0RGHORGSRZLHG]LLSXQNWDFMD]DGD ±]HVWDZGODDELWXULHQWyZNWyU]\UHDOL]RZDOLFKHPL ZZ\PLDU]H PQLHMV]\PQL JRG]LQZF\NOXNV]WDáFHQLD

 3XQNW\SU]\]QDZDQHV ]DFDáNRZLFLHSRSUDZQHUR]ZL ]DQLH:Z\SDGNXSRSUDZQHMDOHQLHSHáQHM

RGSRZLHG]LQDOH \SU]\]QDüSRáRZ SXQNWyZ

 -H HOL SROHFHQLH EU]PLDáR Ä]DSLV] UyZQDQLH UHDNFML´ ± QLH SU]\G]LHOD VL  SXQNWyZ ]D ]DSLVDQLH

VFKHPDWXSURFHVX

 %UDNMHGQRVWHNZREOLF]HQLDFKREQL DSXQNWDFM RSNW

 ,QQHQL PRGHORZHUR]ZL ]DQLHQDOH \RFHQLü]JRGQLH]SRGDQ SXQNWDFM 



=DGDQLH

3ROHFHQLH 0RGHORGSRZLHG]L .U\WHULXP 3XQNWDFMD

&++&O &+±&+±&O

QS&+±&+±&O.2+ &+±&+±2+.&O

&+±&+±2+&X2 &+±&+2&X+2

QS&+±&+2$J2 &+±&22+$J

QS&+±&22+1D2+ &+±&221D+2

QS&+±&22+&D2 &+±&22&D+2

&++2 &+±&+±2+

$

&+±&+2+ &+±&+±2+

=DSLVUyZQD UHDNFML [ 

&+±&+±&O   FKORURHWDQFKORUHNHW\OX

&+±&+±2+   HWDQRODONRKROHW\ORZ\

&+±&+2    HWDQDODOGHK\GRFWRZ\

&+±&22+    NZDVHWDQRZ\RFWRZ\

&+±&221D   RFWDQHWDQLDQVRGX

%

&+±&22&D   RFWDQHWDQLDQZDSQLD

=DSRGDQLHQD]Z [ 

& J–J =DREOLF]HQLH 

' 6W HQLH  =DREOLF]HQLH 

&+±&221D+2 &+±&22+1D2+

&+±&22^±1D^+2 &+±&22+1D^2+^±

&+±&22^±+2 &+±&22+2+^±

=DUyZQDQLDUHDNFML [ 

(

2GF]\Q]DVDGRZ\DONDOLF]Q\ =DRNUH OHQLHRGF]\QX 

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]



QS&+ &+±&+±&+±&+±&+±KHNVHQKHNV±±HQ

&+±&+ &+±&+±&+±&+±KHNVHQKHNV±±HQ

&+±&+±&+ &+±&+±&+±KHNVHQKHNV±±HQ ) 

&+_ &+ &+

&+_

&+_ &+_

±PHW\OR±±KHNVHQ

±PHW\ORKHNV±±HQ

=DND G\SRSUDZQ\

Z]yULQD]Z  QDOH \XZ]JO GQLDü

UyZQLH Z]RU\

F\NORDONDQyZ

[ 

&+2 &2+2

&+2 &2+2 =DUyZQDQLDUHDNFML [ 

* 

GP^SRZLHWU]D =DREOLF]HQLH 

&+±&+&O &+±&+±&O+&O =DUyZQDQLHUHDNFML 

5HDNFMDVXEVW\WXFML =DW\SUHDNFML 

+ 

=DFKRG]LZREHFQR FL ZLDWáD89 =DRNUH OHQLHZDUXQNX 



=DGDQLH

3ROHFH

QLH 0RGHORGSRZLHG]L .U\WHULXP 3XQNWDF

:VNáDGM GUDZFKRG]LSURWRQyZQHXWURQyZ =DVNáDGM GUD MD

$

.RQILJXUDFMDHOHNWURQRZD.^/^0^OXEV^V^S^V^S^OXE>1H@V^S^ =D]DSLVNRQILJXUDFML 

0Q2+&O 0Q&O+2&O =DUyZQDQLHUHDNFML 

0QH 0Q

&O±H &O

Ž

Ž

,9

±,

,,





=DXáR HQLHELODQVX 

%

GP^&O =DREOLF]HQLH 

1D&O 1D&O =DUyZQDQLHUHDNFML 

>1D@.^/^0^RGGDM FHWZRU]\>1D^@.^/^OXE

>1D@±V^V^S^V^RGGDM FHWZRU]\>1D^@V^V^S^

>&O@.^/^0^1^SU]\MPXM FHWZRU]\>&O^±@.^/^0^1^OXE

>&O@V^V^S^V^S^SU]\MPXM FHWZRU]\>&O^±@V^V^S^V^S^

=DNRQILJXUDFM  HOHNWURQRZ DWRPyZ

LMRQyZ

[ 

6WZLHUG]HQLHZL ]DQLHSROHJDQDHOHNWURVWDW\F]Q\PSU]\FL JDQLXVL MRQyZ

OXESU]HGVWDZLHQLHVFKHPDWXWZRU]HQLDZL ]DQLDMRQRZHJR =DZ\MD QLHQLHLVWRW\

ZL ]DQLD 

5y QLFDHOHNWURXMHPQR FL =DREOLF]HQLH 

&

:L ]DQLHMRQRZH =DW\SZL ]DQLD 

' QS%DGDP\RGF]\QUR]WZRUyZ]DSRPRF ZVND QLNyZ

 1D&O±RGF]\QRERM WQ\QLHXOHJDK\GUROL]LH

 $O&O±RGF]\QNZD Q\$O^+2 $O2++^

QS'RGDMHP\GRREXUR]WZRUyZ1D2+

 ZSUREyZFH]1D&ORVDGQLHZ\WU FLáVL 

 ZSUREyZFH]$O&OZ\WU FDVL RVDG$O2+

 $O&O1D2+ $O2+1D&O

2SLVWRNX

SRVW SRZDQLD

=DUyZQDQLDUHDNFML

]DSLVMRQRZ\OXE

F] VWHF]NRZ\

[ 



[ 

(  =DREOLF]HQLH 

&O2&O2&O2 =DZ]RU\WOHQNyZ [ 

&O21D2+ 1D&O2+2 FKORUDQ,,,VRGX 

) 

&O21D2+ 1D&O2+2 FKORUDQ9,,VRGX

=DUyZQDQLDUHDNFML

=DQD]Z\VROL [ 

[ 

.)&OŽUHDNFMDQLH]DFKRG]L =DZVND]DQLHUHDNFMD

QLH]DFKRG]L 

.%U&O .&O%U

.,&O .&O, =DUyZQDQLDUHDNFML [ 



* 

:QLRVHNDNW\ZQR üIOXRURZFyZPDOHMHZJUXSLH

MDNRSRSUDZQ\QDOH \X]QDZDüUyZQLH ZQLRVHNF] VWNRZ\

QSFKORUMHVWDNW\ZQLHMV]\RGEURPXLMRGX

=DZQLRVHN 



Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

=DGDQLH

3ROHFH

QLH 0RGHORGSRZLHG]L .U\WHULXP 3XQNWDF

 &D+2 &D2++ MD

 &D+&O &D&O+

 &D&+&22+ &D&+&22+

 &D2 &D2

 &D2+2 &D2+

 &D2++32 &D32+2

 &D2+&2 &D&2+2

 &D&2Ɏ&D2&2

$

8ZDJDMDNRSURGXNW\UHDNFMLLQDOH \X]QDZDüUyZQLH ZRGRURVROH

=DUyZQD UHDNFML [ 

% 8ZDJDQDOH \SU]\MPRZDüQD]Z ]ZL ]NX']DUyZQRMDNRRFWDQZDSQLD

OXEHWDQLDQZDSQLD =DQD]Z]ZL ]NyZ [ 

& QS&D2+32 &D32+2 

 &D+32 &D32+ =DUyZQDQLDUHDNFML [ 

2GF]\Q]DVDGRZ\ =DRNUH OHQLHRGF]\QX 

' &D&+&22+2 &D2+&+&22+

&D^&+&22^±+2 &D^2+^±&+&22+

&+&22^±+2 2+^±&+&22+

=DUyZQDQLDUHDNFML [ 



( :UHDNFML&D]ZRG Z\G]LHOLVL 

PROD+GP^+‡^F] VWHF]HN+ =DREOLF]HQLH [ 

V^V^S^V^S^V^OXE.^/^0^1^ =D]DSLVNRQILJXUDFML 

)

8WUDWDHOHNWURQyZGDMHWUZDá NRQILJXUDFM ]JRGQLH]UHJXá RNWHWX =DZ\MD QLHQLH 

*  Z\G]LHOLVL GP^ =DREOLF]HQLH 

&D2& &D&&2

&D&+2 &D2+&+

=DUyZQDQLDUHDNFML [ 

+ 

GP^HW\QX =DREOLF]HQLH 

&D&O1D&2 &D&2æ1D&O =DUyZQDQLHUHDNFML 

, 

5R]WZyU&D&OMHVWPRORZ\ =DREOLF]HQLH 



=DGDQLH

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

3ROHFH

QLH 0RGHORGSRZLHG]L .U\WHULXP 3XQNWDF

+&22+±NZDVPUyZNRZ\NZDVPHWDQRZ\ MD

&+&22+±NZDVRFWRZ\NZDVHWDQRZ\

$

&+&+&22+±NZDVSURSLRQRZ\NZDVSURSDQRZ\

=DZ]RU\

=DND G SDU QD]Z

WUDG\F\MQDLV\VWHPD

W\F]QD

[ 

[ 

+&22++^+&22^- =DUyZQDQLH 

% $QLRQPUyZF]DQRZ\PHWDQLDQRZ\ =DQD]Z DQLRQX 

QS)H2+&22+ +&22)H+2

0J&+&22+ &+&220J+

&

$O2+&+&+&22+ &+&+&22$O+2

=DUyZQDQLDUHDNFML [ 

:\G]LHOLVL GP^ZRGRUX =DREOLF]HQLH 

'

:\G]LHOLVL ¢^F] VWHF]HNZRGRUX =DREOLF]HQLH 

6áRZQ\OXEU\VXQNRZ\RSLVGR ZLDGF]HQLD =DRSLVGR ZLDGF]HQLD 

&2&D2+ &D&2+2 =DUyZQDQLH 

&+&22+1D&2 &+&221D+2&2 =DUyZQDQLH 

(

6W HQLHUR]WZRUX1D&2Z\QRVLPROGP^ =DREOLF]HQLH 

6áRZQ\OXEU\VXQNRZ\RSLVGR ZLDGF]HQLD =DRSLVOXEU\VXQHN 

)

QS&+&+&+2&X2+ &+&+&22+&X2+2 =DUyZQDQLHUHDNFML 

*  QS&+&O.2+ &+2+.&O

 &+2+&X2 +&+2&X+2

 +&+2$J2 +&22+$J

=DUyZQDQLDUHDNFML [ 

 + 

&+_ &22+

&+_ &22+

&+

&+

&

&

2 2 2



=DQDSLVDQLHZ]RUyZ

VWUXNWXUDOQ\FK 

+&22+&+&+2+ +&22&+&++2

PUyZF]DQPHWDQLDQHW\OX =DUyZQDQLHUHDNFML

=DQD]Z HVWUX 

Z]yUL]RPHUX&+&22&+ 

RFWDQHWDQLDQPHW\OX =DZ]yUL]RPHUX

=DQD]Z HVWUX 



, 

URODVW +62±NDWDOL]DWRUSRFKáDQLDZRG  =DSRGDQLHUROLNZDVX 





=DGDQLH

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

3ROHFH

QLH 0RGHORGSRZLHG]L .U\WHULXP 3XQNWDF

1D2±WOHQHNVRGX32±WOHQHNIRVIRUX9 MD

0J2±WOHQHNPDJQH]X62±WOHQHNVLDUNL9,

$O2±WOHQHNJOLQX&O2±WOHQHNFKORUX9,, 6L2±WOHQHNNU]HPX,9

=DND G\Z]yU

LQD]Z  [ 

$ 

1DOH \X]QDZDþLQQHSU]\M WHQD]Z\QSGLWOHQHNNU]HPXWULWOHQHNVLDUNLDOHQLHQDOH \

X]QDZDþVWDU\FKQD]ZQSWUyMWOHQHNVLDUNL

% 1D2±ZL ]DQLHMRQRZH

32±ZL ]DQLHNRZDOHQF\MQHVSRODU\]RZDQH 0J2±ZL ]DQLHMRQRZH

62±ZL ]DQLHNRZDOHQF\MQHVSRODU\]RZDQH

$O2±ZL ]DQLHMRQRZH

&O2±ZL ]DQLHNRZDOHQF\MQHVSRODU\]RZDQH

6L2±ZL ]DQLHMRQRZH>ZL ]DQLHNRZDOHQF\MQHVSRODU\]RZDQH@^

=DXVWDOHQLHURG]DMX

ZL ]DQLD [ 



7OHQNLWZRU] FH]DVDG\1D20J2

7OHQNLRERM WQHZREHFZRG\$O26L2 7OHQNLWZRU] FHNZDV\3262&O2

=D]DNZDOLILNRZDQLH

WOHQNyZGR

RGSRZLHGQLFKJUXS

[ 

QS0J2+2 0J2+

62+2 +62 =DUyZQDQLDUHDNFML [ 

&

1DOH \X]QDZDþUyZQLH Z\EyUGZyFKWOHQNyZ]DVDGRZ\FKOXEGZyFKWOHQNyZNZDVRZ\FK

:UR]WZRU]H]QDMGXMHVL ZRGRURWOHQHNVRGX]DVDGDVRGRZD =DQD]Z VXEVWDQFML 

'

6W HQLHSURFHQWRZHZ\QRVL =DREOLF]HQLH 

(  QS0J2 0J2

622 62

&2& &2

1D&2 1D2&2

&X2+ &X2+2

=DUyZQD UHDNFML [ 

)  2WU]\PDQRJ62LJ&2 =DREOLF]HQLH 

&D&2 &D2&2

* 

:\G]LHOLVL GP^&2

=DREOLF]HQLH 

=DVDG\SU]HOLF]DQLDSXQNWDFMLQDVWRSQLHV]NROQH

VWRSLH  OLF]EDSXQNWyZ ZDUXQHN

QLHGRVWDWHF]Q\  

GRSXV]F]DM F\  =DMHGQR]DGDQLHPLQSNW

GRVWDWHF]Q\  =DMHGQR]DGDQLHPLQSNW

GREU\  =DGZD]DGDQLDPLQSRSNW

EDUG]RGREU\  =DGZD]DGDQLDPLQSRSNW

FHOXM F\  

Więcej arkuszy znajdziesz na stronie: arkusze.pl 

VWURQD]

0RGHORGSRZLHG]LLSXQNWDFMD]DGD ±]HVWDZGODDELWXULHQWyZNWyU]\UHDOL]RZDOLFKHPL ZZ\PLDU]H

PLQLPXPJRG]LQZF\NOXNV]WDáFHQLD

 3XQNW\SU]\]QDZDQHV ]DFDáNRZLFLHSRSUDZQHUR]ZL ]DQLH:Z\SDGNXSRSUDZQHMDOHQLHSHáQHM

RGSRZLHG]LQDOH \SU]\]QDüSRáRZ SXQNWyZ

 -H HOL SROHFHQLH EU]PLDáR Ä]DSLV] UyZQDQLH UHDNFML´ ± QLH SU]\G]LHOD VL  SXQNWyZ ]D ]DSLVDQLH

VFKHPDWXSURFHVX

 %UDNMHGQRVWHNZREOLF]HQLDFKREQL DSXQNWDFM RSNW

 ,QQHQL PRGHORZHUR]ZL ]DQLHQDOH \RFHQLü]JRGQLH]SRGDQ SXQNWDFM 

=DGDQLH

3ROHFH

QLH 0RGHORGSRZLHG]L .U\WHULXP 3XQNWDF

MD

&++&O &+±&+±&O

QS&+±&+±&O.2+ &+±&+±2+.&O

&+±&+±2+&X2 &+±&+2&X+2

QS&+±&+2$J2 &+±&22+$J

QS&+±&22+1D2+ &+±&221D+2

QS&+±&22+&D2 &+±&22&D+2

&++2 &+±&+±2+

$

&+±&+2+ &+±&+±2+

=DSLVUyZQD UHDNFML [ 

&+±&+±&OFKORURHWDQFKORUHNHW\OX

&+±&+±2+HWDQRODONRKROHW\ORZ\

&+±&+2HWDQDODOGHK\GRFWRZ\

&+±&22+NZDVHWDQRZ\RFWRZ\

&+±&221DRFWDQHWDQLDQVRGX

%

&+±&22&DRFWDQHWDQLDQZDSQLD

=DSRGDQLHQD]Z [ 

& J–J =DREOLF]HQLH 

' 6W HQLH  =DREOLF]HQLH 

&+±&221D+2 &+±&22+1D2+

&+±&22^±1D^+2 &+±&22+1D^2+^±

&+±&22^±+2 &+±&22+2+^±

=DQDSLVDQLHUyZQD 

UHDNFML [ 

(

2GF]\Q]DVDGRZ\DONDOLF]Q\ =DRNUH OHQLHRGF]\QX 

&+&+2+.0Q2+62 &+&22+0Q62.62+2 =DXáR HQLHUyZQDQLD

SRGDQLHVXEVWUDWyZL

SURGXNWyZUHDNFML

[ 

) 

0QH 0Q

&±H &

Ž

Ž

9,,

±,

,,

,,,



=DELODQVHOHNWURQRZ\

=DGREUDQLH

ZVSyáF]\QQLNyZ

VWHFKLRPHWU\F]Q\FK

[ 

a  =DREOLF]HQLHa 

*  . ^± =DREOLF]HQLH. 

+  D+^ N-PRO =DREOLF]HQLH 



Więcej arkuszy znajdziesz na stronie: arkusze.pl