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 UHGQLFKGODGRURVâ\FK

ZURNXV]NROQ\P

PDMDUJRG]

,QIRUPDFMDGOD]GDM F\FK

¥ =HVWDZ]DZLHUDSL ü]DGD ]NWyU\FKQDOH \Z\EUDüWU]\LLFKUR]ZL ]DQLDSU]HGVWDZLüGR

RFHQ\:F]\VWRSLVLHQDOH \ZVND]DüZ\EUDQH]DGDQLDSLV] FÄZ\ELHUDP]DGDQLD´

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

¥ 1LHZROQRX \ZDüNRUHNWRUyZLF]HUZRQHJROXE]LHORQHJRDWUDPHQWXWXV]X

¥ 3RGF]DV UR]ZL ]\ZDQLD ]DGD QDOH \ VWRVRZDü SRSUDZQ\ M ]\N FKHPLF]Q\

DZ]DGDQLDFKUDFKXQNRZ\FKSU]HGVWDZLDüWRNUR]XPRZDQLD

¥ :REOLF]HQLDFKQLHQDOH \SRPLMDüMHGQRVWHN

¥ &]DVSU]H]QDF]RQ\QDUR]ZL ]DQLH]DGD Z\QRVLPLQXWJRG]LQ]HJDURZ\FK

¥ =DUR]ZL ]DQLHND GHJR]DGDQLDPR QDRWU]\PDüPDNV\PDOQLHSXQNWyZ

=DGDQLH

$ : RSDUFLX R WHRUL G\VRFMDFML HOHNWUROLW\F]QHM 6 $UUKHQLXVD Z\MD QLM SRM FLD NZDV

]DVDGDVyO

3RVáXJXM FVL Z]RUDPLRJyOQ\PLNZDVX+

Q

5]DVDG\>02+

P

@LVROL0

Q

5

P

]DSLV]

SU]HELHJSURFHVXG\VRFMDFMLZ\PLHQLRQ\FKNODV]ZL ]NyZ

% 6SR UyGSU]HGVWDZLRQ\FKQL HMVXEVWDQFMLZ\ELHU]ZV]\VWNLHWHNWyUHV HOHNWUROLWDPL

+12

+& ++

32

.2+&

+

2+&D2+

1D

6)H62

2

3RGDMQD]Z\Z\EUDQ\FKHOHNWUROLWyZL]DSLV]UyZQDQLDLFKG\VRFMDFMLMRQRZHM

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

& 3U]HSURZDG]RQRGR ZLDGF]HQLH]LOXVWURZDQHSRQL V]\PU\VXQNLHP

.2+DT

+&ODT

;DT

SDSLHUHNXQLZHUVDOQ\

ˆ 3U]HGVWDZZ]DSLVLHF] VWHF]NRZ\PLMRQRZ\PSU]HELHJ]DFKRG] FHMUHDNFML

ˆ 1D]ZLMW\S]DFKRG] FHJRSURFHVXMRQRZHJR

ˆ -DN EDUZ SU]\MPLHX \W\ZVND QLNZND G\P]UR]WZRUyZ"

' 'R FP

UR]WZRUX NZDVX VLDUNRZHJR9, R VW HQLX PROGP

GRGDQR J

SURFHQWRZHJRUR]WZRUXZRGRURWOHQNXVRGX

2EOLF]ZMDNLPVWRVXQNXPRORZ\P]PLHV]DQRVXEVWUDW\

( 0DM F GR G\VSR]\FML PDJQH] NZDV VROQ\ VLDUN L ZRG ]DSURSRQXM V]HUHJ UHDNFML

G]L NLNWyU\PRWU]\PDV]NZDVVLDUNRZRGRURZ\

) 3U]HDQDOL]XM SRQL V]H UyZQDQLD UHDNFML D QDVW SQLH XV]HUHJXM NZDV\ ELRU FH XG]LDá

ZNROHMQ\FKUHDNFMDFKZHGáXJZ]UDVWDM FHMPRF\

&+

&22+1D

&2

&+

&221D&2

+

2

+&O&+

&221D &+

&22+

1D&O

&

+

21D&2

+

2 &

+

2+1D+&2

+

62

1D&O +&O1D+62

=DGDQLH

(W\Q DFHW\OHQ MHVW VXEVWDQFM ] NWyUHM PR QD RWU]\PDü ZLHOH LQQ\FK ]ZL ]NyZ

RUJDQLF]Q\FK

$ =DSLV] L X]JRGQLM UyZQDQLD UHDNFML SU]HGVWDZLRQH QD SRQL V]\P VFKHPDFLH ZDUXQNL

]DFKRG]HQLDSU]HPLDQ]D]QDF]RJyOQLHQSS7NDW

&+

&+

2+

&+

&+

&+ &+

&+

&22+

&+

&

2

+

12

&+

&+&O

+

2

>

&+

&+ @Q
&O

% 3RGDMQD]Z\]ZL ]NyZRUJDQLF]Q\FKZ\VW SXM F\FKZSRZ\ V]\PVFKHPDFLH

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

& 6WRVXM F SRG]LDá W\SRZ\ GOD FKHPLL RUJDQLF]QHM SRGDM W\S\ OXE QD]Z\ SU]HPLDQ

R]QDF]RQ\FKQDSRZ\ V]\PVFKHPDFLHQU

' =DSLV]UyZQDQLHUHDNFMLFDáNRZLWHJRVSDODQLDHW\QXDFHW\OHQX

2EOLF]MDNDLOR üHQHUJLLZ\G]LHOLVL QDVSRVyEFLHSáDSRGF]DVFDáNRZLWHJRVSDOHQLDJ

DFHW\OHQXZLHG] F HFLHSáRUHDNFMLVSDODQLDPRODWHJR]ZL ]NXZ\QRVLN-PRO

DUHDNFMD]DFKRG]L]HZ\GDMQR FL

( : FHOX ]EDGDQLD ZáD FLZR FL HWDQROX L NZDVX RFWRZHJR HWDQRZHJR Z\NRQDQR

GR ZLDGF]HQLD]LOXVWURZDQHSRQL V]\PU\VXQNLHP

&

+

2+&+

&22+

&

+

2+&+

&22+

&

+

2+&+

&22+

1D

1D2+

&X2

=DSLV] UyZQDQLD UHDNFML ]DFKRG] F\FK Z SUREyZNDFK OXE ]D]QDF] H UHDNFMD QLH

]DFKRG]L2NUH OMDNLHZáD FLZR FLHWDQROXLNZDVXRFWRZHJRHWDQRZHJRSRWZLHUG]DM

Z\QLNLGR ZLDGF]H SU]HSURZDG]RQ\FK]1D1D2+L&X2

=DGDQLH

$ 1DSLV]LX]JRGQLMUyZQDQLDUHDNFMLSU]HGVWDZLRQHVFKHPDWHP

+

2

=Q

=Q2

$

%

&

1D

>=Q2+

@

1D2+

+&O

+

62

+

62

1D2+

1D2+

% 3RGDMQD]Z\]ZL ]NyZ$%&RUD]ZRSDUFLXRGZDUy QHNU\WHULDRNUH OW\SUHDNFML

R]QDF]RQHMQU

& 3RGDM MDNL FKDUDNWHU FKHPLF]Q\ WOHQNX F\QNX L ]ZL ]NX % SUH]HQWRZDQ\ MHVW SU]H]

UHDNFMHGOD=Q2LGOD]ZL ]NX%

' 3RGDM RJyOQ QD]Z ZáD FLZR FL Z\ND]\ZDQ\FK SU]H] WOHQHN F\QNX L ]ZL ]HN %

ZUHDNFMDFK

( 3U]HGVWDZMRQRZ\]DSLVUHDNFMLR]QDF]RQHMQULQD]ZLMWHQW\SSURFHVXMRQRZHJR

) 3DSLHUHN XQLZHUVDOQ\ ]DQXU]RQ\ GR UR]WZRUX FKORUNX F\QNX SU]\MPXMH F]HUZRQH

]DEDUZLHQLH QDWRPLDVW ]DQXU]RQ\ GR UR]WZRUX FKORUNX VRGX QLH ]PLHQLD VZRMHJR

]DEDUZLHQLD

:\MD QLM WDNLH ]DFKRZDQLH ZVND QLND Z REX UR]WZRUDFK 2GSRZLHG X]DVDGQLM

RGSRZLHGQLPLUyZQDQLDPLUHDNFML]DSLVDQ\PLQDVSRVyEF] VWHF]NRZ\LMRQRZ\

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

* &\QN RWU]\PXMH VL QD VNDO SU]HP\VáRZ Z SURFHVLH KXWQLF]\P NWyU\ SROHJD QD

XWOHQLHQLXEOHQG\F\QNRZHM=Q6WOHQHPGRWOHQNXF\QNXLRGSRZLHGQLHJRWOHQNXVLDUNL

1DVW SQLHWOHQHNF\QNXUHGXNRZDQ\MHVWWOHQNLHPZ JOD,,GRPHWDOLF]QHJRF\QNX

ˆ =DSLV]GZDUyZQDQLDUHDNFMLLOXVWUXM FHRWU]\P\ZDQLHF\QNXPHWRG KXWQLF]

ˆ 2EOLF] LOH NJ F\QNX PR QD RWU]\PDü ] NJ =Q6 ]DNáDGDM F Z\GDMQR ü

ND GHJRHWDSXRSLVDQHJRZ\ HMSURFHVXKXWQLF]HJR

ˆ 2EOLF]]DZDUWR üSURFHQWRZ SLHUZLDVWNyZZVLDUF]NXF\QNX

+ : RSDUFLX R PHWRG ELODQVX HOHNWURQRZHJR X]JRGQLM SRQL V]H UyZQDQLH UHDNFML RUD]

ZVND XWOHQLDF]LUHGXNWRU

=Q+12

Ž=Q12

12+

2

=DGDQLH

-HGQ\P ] ZD QLHMV]\FK SLHUZLDVWNyZ Z\VW SXM F\FK Z SU]\URG]LH ]DUyZQR Z VWDQLH

ZROQ\PMDNLZ]ZL ]NDFKQLHRUJDQLF]Q\FKLRUJDQLF]Q\FKMHVWD]RW

$ 3RGDM VNáDG M GUD DWRPRZHJR NRQILJXUDFM HOHNWURQRZ RUD] SRáR HQLH Z XNáDG]LH

RNUHVRZ\PDWRPXD]RWX:\MD QLMMDNLMHVW]ZL ]HNEXGRZ\DWRPX]MHJRSRáR HQLHP

ZXNáDG]LHRNUHVRZ\P

% $]RWPR QDRWU]\PDü]SRZLHWU]DPHWRG RSLVDQ SRQL V]\PVFKHPDWHP

É

É

É

Ž

É

SRZLHWU]H

Ž

Ž

Ž

D]RW"

ˆ -DNLH VNáDGQLNL SRZLHWU]D V NROHMQR HOLPLQRZDQH SU]\ ]DVWRVRZDQLX WHM PHWRG\

DMDNLHSR]RVWDá\MDNRGRPLHV]NDD]RWXQDVFKHPDFLHR]QDF]RQHMDNRÄ"´

ˆ 3RGDMUyZQDQLDUHDNFML]DFKRG] F\FKZUHDNWRUDFKL

ˆ -DNLHZáD FLZR FLVXEVWDQFML]DVWRVRZDQ\FKZUHDNWRU]HL]DGHF\GRZDá\RLFK

Z\ERU]HZRSLVDQHMPHWRG]LHRWU]\P\ZDQLDD]RWX

& $PRQLDNRWU]\PXMHVL ZEH]SR UHGQLHMV\QWH]LH]D]RWXLZRGRUX

ˆ =DSLV]UyZQDQLHV\QWH]\DPRQLDNX

ˆ 2EOLF]VW HQLHSURFHQWRZHUR]WZRUXDPRQLDNXZLHG] F HZ7 .ZFP

ZRG\PR QDUR]SX FLüJ1+

' $PRQLDNVWRVRZDQ\MHVWMDNRVXEVWDQFMDZ\M FLRZDGRRWU]\P\ZDQLDQLHNWyU\FKWOHQNyZ

D]RWXNZDVyZD]RWRZ\FKLVROLDPRQRZ\FK

ˆ 1DSLV]LX]JRGQLMUyZQDQLDUHDNFMLSU]HGVWDZLRQHSRQL V]\PVFKHPDWHP

1+

12

12

+12

+12

1+

12

2

1

2

7

ˆ 3RGDMQD]Z\]ZL ]NyZD]RWXSU]HGVWDZLRQ\FKZSRZ\ V]\PVFKHPDFLHLRNUH O

VWRSQLHXWOHQLHQLDD]RWXZW\FK]ZL ]NDFK

( 3RGDMQD]Z\SU]HGVWDZLRQ\FKSRQL HM]ZL ]NyZ]DZLHUDM F\FKD]RW

UR]JU]DQD

PLHG

SáXF]ND]

UR]WZRUHP1D2+

RVXV]DQLH

WOHQNLHPZDSQLD

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

2 &

1+

1+

&+

&22+

1+

&+

2 12

&+2 12

&+

2 12

12

=DGDQLH

$ 'DQHV ]ZL ]NLRZ]RUDFK

, ,, ,,,

2

+2

+

2+

+

&+

2+

+

+2&+

2

2

&+

2+

+

+

2+

+

+2

+

2+

+

+

1&+

&

2

1 &+

&22+

+

&+

2 & &+

&+

2

&+

&+

2 &

2

&+

&+

2 & &+

&+

2

ˆ 3RGDMQD]Z\]ZL ]NyZR]QDF]RQ\FKQXPHUDPL,,,L,,,RUD]RNUH OGRMDNLHMJUXS\

VXEVWDQFMLRUJDQLF]Q\FKQDOH

ˆ :\PLH QD]Z\ZL ]D ]D]QDF]RQ\FKZND G\P]SU]HGVWDZLRQ\FKZ]RUyZ

% =ZL ]NL , ,, ,,, Z UHDNFML ] ZRG Z REHFQR FL RGSRZLHGQLFK NDWDOL]DWRUyZ XOHJDM

UR]NáDGRZLQDSURVWV]HPRQRF] VWHF]NL

3RGDM QD]Z RSLVDQHJR SURFHVX RUD] Z]RU\ SyáVWUXNWXUDOQH L QD]Z\ ZV]\VWNLFK

PRQRF] VWHF]HNRWU]\PDQ\FKZMHJRZ\QLNX

& =ZL ]HN,,UHDJXMH]ZRGRURWOHQNLHPVRGXL]NZDVHPVROQ\P3RVáXJXM FVL Z]RUDPL

SyáVWUXNWXUDOQ\PL]ZL ]NyZRUJDQLF]Q\FK]DSLV]UyZQDQLDREXUHDNFML

2NUH O]DFKRZDQLHVL ]ZL ]NX,,ZND GHM]W\FKUHDNFML3RGDMRMDNLFKZáD FLZR FLDFK

WHJR]ZL ]NX ZLDGF] RELHUHDNFMH

' 7ULROHLQLDQJOLFHUROXQDOH \GRFLHNá\FKWáXV]F]yZUR OLQQ\FK7áXV]F]HUR OLQQHSRGGDMH

VL UHDNFML ÄXWZDUG]DQLD´ :\MD QLM QD F]\P SROHJD XWZDUG]DQLH WáXV]F]yZ L MDNLHM

VXEVWDQFMLX \ZDP\GRWHMUHDNFML

( 3RGF]DV VSDODQLD KHNVR]\ &

+

2

MHGQ\P ] SURGXNWyZ UHDNFML MHVW EH]EDUZQ\

QLHSDOQ\FL V]\RGSRZLHWU]DJD]NWyU\ZSURZDG]RQ\GRZRG\ZDSLHQQHMSRZRGXMHMHM

]P WQLHQLH

=DSLV]UyZQDQLDRSLVDQ\FKUHDNFMLLREOLF]

ˆ ,OHJUDPyZKHNVR]\VSDORQRMH OLZ\G]LHOLáRVL GP

RSLVDQHJRZ\ HMJD]X

RGPLHU]RQHJRZZDUXQNDFKQRUPDOQ\FK

ˆ ,OHJUDPyZRVDGXSRZVWDáRSRGF]DVLGHQW\ILNDFMLRSLVDQHJRJD]X

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 UHGQLFKGODGRURVâ\FK

ZURNXV]NROQ\P

PDMDUJRG]

0RGHORGSRZLHG]LLVFKHPDWSXQNWRZDQLD]DGD

3XQNW\SU]\]QDZDQHV ]DFDáNRZLFLHSRSUDZQHUR]ZL ]DQLH
-H HOL SROHFHQLH EU]PLDáR Ä]DSLV] UyZQDQLH UHDNFML´ ± QLH SU]\G]LHOD VL SXQNWyZ ]D

]DSLVDQLHVFKHPDWXSURFHVX

%UDNMHGQRVWHNZREOLF]HQLDFKREQL DSXQNWDFM RSNW
,QQHQL PRGHORZHUR]ZL ]DQLHQDOH \RFHQLü]JRGQLH]SRGDQ SXQNWDFM

=DGDQLH

3ROHFHQLH

0RGHORGSRZLHG]L

.U\WHULXP 3XQNWDFMD

:\MD QLHQLHSRM üNZDV]DVDGDVyOZWHRULL$UUKHQLXVD

=DGHILQLFMH

[

=DSLVUyZQD +

Q

5 +

+

Q

5

-

02+

P

0

P

P2+

-

0

Q

5

P

Q0

P

P5

Q-

=DUyZQDQLH [

$

-DNRSRSUDZQ\PR QDX]QDü]DSLVQLHXZ]JO GQLDM F\G\VRFMDFMLVWRSQLRZHMNZDVX

(OHNWUROLW\+12

+

32

.2+&D2+

1D

6)H62

=DZ\EyU

VXEVWDQFML

.ZDVD]RWRZ\9NZDVIRVIRURZ\9ZRGRURWOHQHNSRWDVXZRGRURWOHQHNZDSQLD

VLDUF]HNVRGXVLDUF]DQ9, HOD]D,,

3RGDQLH

QD]Z

[

%

+12

Ž+

12

-

+

32

+

+

32

-

+

32

-

+

+32

-

+32

-

+

32

-

.2+Ž.

2+

-

&D2+

Ž&D

2+

-

1D

6Ž&D

2+

-

)H62

Ž)H

62

-

=DUyZQDQLD

G\VRFMDFML

[

.2++&OŽ.&O+

2

+

2+

-

Ž+

2

=D

UyZQDQLD

[

5HDNFMD]RERM WQLDQLD

&

2NUH OHQLHEDUZ\SDSLHUNyZXQLZHUVDOQ\FK

=DEDUZ\ [

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

'

/LF]EDPROLNZDVX±

/LF]EDPROL]DVDG\±

6WRVXQHNPRORZ\VXEVWUDWyZ

=DREOLF]HQLH

(

3URMHNWUHDNFML

1S0J6 0J6L0J6+&O 0J&O

+

6

+

6±UR]SX FLüZZRG]LH

=DSURMHNW

)

&

+

2++

&2

&+

&22++&O+

62

=DNROHMQR ü

=DGDQLH

3ROHFHQLH

0RGHORGSRZLHG]L

.U\WHULXP 3XQNWDFMD

$

&+Ù&++

Ɏ

É

NDW

&+

&+

&+

&+

+

2

Ɏ

É

NDW

&+

&+

2+

&+ &+

S7

+12

+

62

12

+

2

&+Ù&++&O

Ɏ

É

&+

&+&O

Q&+

&+&O

É

É Ž

É

NDW

7

S

>&+

&+&O@

Q

&+Ù&++

2

Ɏ

É

NDW

&+

&+2

QS&+

&+2$J

2

Ɏ

É

7

&+

&22+$J

=DUyZQD

UHDNFML

[

%

&+

&+

HWHQHW\OHQ

&+

&+

2+HWDQRODOKRKROHW\ORZ\

EHQ]HQ

12

QLWUREHQ]HQ

&+

&+&OFKORURHWHQFKORUHNZLQ\OX

>&+

&+&O@

Q

SROLFKORUHNZLQ\OX3&9

&+

&+2HWDQDODGHK\GRFWRZ\

&+

&22+NZDVHWDQRZ\NZDVRFWRZ\

=DQD]Z

[

&

DGG\FMDOXESU]\á F]DQLHXZRGRUQLHQLH

DGG\FMDOXESU]\á F]DQLH

WULPHU\]DFMDOXESROLPHU\]DFMD

VXEVW\WXFMDOXESRGVWDZLHQLHQLWURZDQLH

DGG\FMDOXESU]\á F]DQLH

SROLPHU\]DFMD

DGG\FMDOXESU]\á F]DQLH

XWOHQLDQLHOXESUyED7ROOHQVDSUyED7URPPHUD

=DQD]Z

[

&+Ù&+2

&2

+

2

=DUyZQDQLH

'

:\G]LHODVL .-

=DREOLF]HQLH

&

+

2+1D &

+

21D+

&+

&22+1D &+

&221D+

&

+

2+1D2+ UHDNFMDQLH]DFKRG]L

&+

&22+1D2+ &+

&221D+

2

&

+

2+&X2 &+

&+2&X+

2

&+

&22+&X2 &+

&22

&X+

2

=DUyZQD [

(

1S:UHDNFML]1DHWDQROLNZDVRFWRZ\]DFKRZXM VL MDNNZDV\

:UHDNFML]1D2+W\ONRNZDVRFWRZ\]DFKRZXMHVL MDNNZDV

:UHDNFML]&X2NZDVRFWRZ\]DFKRZXMHVL MDNNZDV

:UHDNFML]&X2HWDQRO]DFKRZXMHVL MDNUHGXNWRUXOHJDXWOHQLHQLXHWDQRO

QLHZ\ND]XMHZáD FLZR FLNZDVX

=DZQLRVNL

[

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

=DGDQLH

3ROHFHQLH

0RGHORGSRZLHG]L

.U\WHULXP

3XQNWDFMD

$

=Q2

=Q2

=Q2+&O =Q&O

+

2

=Q&O

1D2+ =Q2+

1D&O

=Q2+

62

=Q62

+

2

=Q2+

+

62

=Q62

+

2

=Q2+

21D2+ 1D

>=Q2+

@

=Q2+

1D2+ 1D

>=Q2+

@

=DUyZQD

[

$±FKORUHNF\QNX%±ZRGRURWOHQHNF\QNX&±VLDUF]DQ9,F\QNX

=DQD]Z\

%

5HDNFMDQU±V\QWH]DXWOHQLDQLHUHGRNVXWOHQLDQLHLUHGXNFMD

=DQD]Z\

[

&

:UHDNFMLQUWOHQHNF\QNX]DFKRZXMHVL MDNWOHQHN]DVDGRZ\

:UHDNFMLQUWOHQHNF\QNX]DFKRZXMHVL MDNWOHQHNNZDVRZ\

:UHDNFMLQUZRGRURWOHQHNF\QNXZ\ND]XMHZáD FLZR FL]DVDGRZH

:UHDNFMLQUZRGRURWOHQHNF\QNXZ\ND]XMHZáD FLZR FLNZDVRZH

=DZQLRVNL

[

'

:áD FLZR FLDPIRWHU\F]QH

=DRNUH OHQLH

(

=Q

2+

-

=Q2+

1S5HDNFMDVWU FDQLDRVDGX

=DUyZQDQLH

=DW\SUHDNFML

:\MD QLHQLHZRSDUFLXRSURFHVK\GUROL]\

Z\MD QLHQLH

)

=D&O

+

2 =Q2+

+&O

=Q

+

2 =Q2+

+

OXESHáQ\]DSLVMRQRZ\

1D&O±ZUR]WZRU]HZRGQ\PQLHK\GUROL]XMHOXEUyZQDQLHG\VRFMDFML

=DND G\

]DSLV

[

=Q62

=Q262

=Q2&2 =Q&2

=DUyZQDQLD [

0R QDRWU]\PDüNJF\QNX

=DREOLF]HQLH

*

6NáDGSURFHQWRZ\=Q6=Q6

=DREOLF]HQLH

%LODQVHOHNWURQRZ\

[

1

H

1

[

H

=Q

=Q

,,

9

,,

Ž

+

+

Ž

-

-

=DELODQV

:VSyáF]\QQLNL=Q+12

Ž=Q12

12+

2

=DX]XSHáQLHQLH

+

8WOHQLDF]+12

UHGXNWRU=Q

=DZVND]DQLH

=DGDQLH

3ROHFHQLH

0RGHORGSRZLHG]L

.U\WHULXP

3XQNWDFMD

6NáDGM GUDSURWRQyZLQHXWURQyZ

=DVNáDGM GUD

>1@ .

/

OXE>1@ V

V

S

OXE>1@ >+H@V

S

.RQILJXUDFMD

*UXSD9$RNUHV

3RáR HQLH

$

1SOLF]EDSRZáRN±QURNUHVXOLF]EDHOHNWURQyZZDOHQF\MQ\FK±QUJUXS\

Z\MD QLHQLH

±WOHQ±&2

±+

2JD]\V]ODFKHWQH

=DRNUH OHQLH

&X2

É

É Ž

É

WHPS

&X2

1D2+&2

Ž1D+&2

OXE1D2+&2

Ž1D

&2

+

2

&D2+

2Ž&D2+

=D

UyZQDQLD

[

%

1S0HWDOHWZRU] WOHQNLPHWDOLZUHDNFML]WOHQHP

=DVDG\UHDJXM ]WOHQNDPLNZDVRZ\PLWZRU] FVROH

7OHQNLPHWDOLDNW\ZQ\FKUHDJXM ]ZRG WZRU] F]DVDG\OXE&D2MHVWKLJURVNRSLMQ\

:\MD QLHQLH

[

1

+

1+

=DUyZQDQLH

&

6W HQLHDPRQLDNX±

=DREOLF]HQLH

1+

2

12+

2

122

12

12

+

2 +12

+12

1+

+12

1+

12

1+

12

É

É Ž

É

WHPS

1

2+

2

=DUyZQD

12WOHQHND]RWX,,12

±WOHQHND]RWX,9+12

±NZDVD]RWRZ\9+12

±

NZDVD]RWRZ\,,,1+

12

±D]RWDQ9DPRQX1

2±WOHQHND]RWX,

=DQD]Z

[

'

2

1

2

1

+

1

2

1

+

2

1

+

2

1

2

1

1+

,

9

,,,

,,,

9

,9

,,

,,,

-

-

=DRNUH OH [

PRF]QLNOXEGLDPLGNZDVXZ JORZHJR

NZDVDPLQRHWDQRZ\OXENZDVDPLQRRFWRZ\OXEJOLF\QD

WULD]RWDQSURSDQRWULROXOXEWULD]RWDQJOLFHU\Q\OXEQLWURJOLFHU\QD

(

QLWUREHQ]HQ

=DQD]Z\

[

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

=DGDQLH

3ROHFHQLH

0RGHORGSRZLHG]L

.U\WHULXP

3XQNWDFMD

,

6DFKDUR]D

,,

*OLF\ORJOLF\QD

,,,

7ULVWHDU\QLDQJOLFHU\Q\

=DQD]Z\

[

,

GLVDFKDU\GFXNLHUVDFKDU\G

,,

GLSHSW\GSHSW\G

,,,

WáXV]F]HVWHU

=DRNUH OHQLD

[

$

,

ZL ]DQLHJOLNR]\GRZH

,,

ZL ]DQLHSHSW\GRZHDPLGRZH

,,,

ZL ]DQLHHVWURZH

=DQD]Z\

[

+\GUROL]D

=DQD]Z

2

+2

+

2+

+

&+

2+

+

+2&+

2+

2

&+

2+

+

+

2+

+

+2

+

2+

+

2+

1+

&+

&22+

&+

2+

&+
&+

2+

2+

&+

&+

&22+

GODFXNUyZGRSXV]F]DOQHV Z]RU\)LVFKHUD

=DZ]RUyZ

[

%

a'JOXNRSLUDQR]DJOXNR]Db'IUXNWRIXUDQR]DIUXNWR]DNZDV

DPLQRHWDQRZ\NZDVDPLQRRFWRZ\JOLF\QDSURSDQRWULROJOLFHU\QDJOLFHURO

NZDVRNWDGHNDQRZ\NZDVVWHDU\QRZ\

=DQD]Z

[

+

1 &+

&22+

1+

&+

&

2

+

1 &+

&22+

1+

&+

&

2

1D2+

+&O

+

1 &+

&221D

1+

&+

&

2

+

1 &+

&22+

&+

&

2

+

2

1+

&O

=DUyZQDQLD

UHDNFML

[

:UHDNFML]1D2+±]ZL ]HN]DFKRZXMHVL MDNNZDV

:UHDNFML]+&O±]ZL ]HN]DFKRZXMHVL MDN]DVDGD

=DGZD

RNUH OHQLD

[

&

:áD FLZR FLDPIRWHU\F]QH

:\MD QLHQLH

'

1S8WZDUG]DQLHWáXV]F]yZSROHJDQDZ\V\FDQLXZL ]D ZLHORNURWQ\FK

6WRVXMHP\ZRGyU

:\MD QLHQLH

&

+

2

2

&2

+

2

&2

&D2+

&D&2

+

2

=DUyZQDQLD

[

6SDORQRJKHNVR]\

=DREOLF]HQLH

(

3RZVWDáJ&D&2

=DREOLF]HQLH

=DVDG\SU]HOLF]DQLDSXQNWDFMLQDVWRSQLHV]NROQH

VWRSLH

OLF]EDSXQNWyZ

ZDUXQHN

QLHGRVWDWHF]Q\

±

GRSXV]F]DM F\

±

=DMHGQR]DGDQLHPLQSXQNWyZ

GRVWDWHF]Q\

±

=DMHGQR]DGDQLHPLQSXQNWyZ

GREU\

±

=DGZD]DGDQLDPLQSRSXQNWyZ

EDUG]RGREU\

±

=DGZD]DGDQLDPLQSRSXQNW\

FHOXM F\

±

$5.86=5(&(1=-,,2&(1<

3,6(01(-35$&<0$785$/1(-=&+(0,,

.RG

PDWXU]\VW\

,PL LQD]ZLVNR

HJ]DPLQDWRUD

,PL

Więcej arkuszy znajdziesz na stronie: arkusze.pl

VWURQD]

LQD]ZLVNR

PDWXU]\VW\

ZSLVDüSRUR]NRGR

ZDQLXSUDF\

1XPHU]DGDQLD 3U]\G]LHORQHSXQNW\

7UH üPHU\WRU\F]QDUHFHQ]ML

1XPHU]DGDQLD 3U]\G]LHORQHSXQNW\

7UH üPHU\WRU\F]QDUHFHQ]ML

1XPHU]DGDQLD 3U]\G]LHORQHSXQNW\

7UH üPHU\WRU\F]QDUHFHQ]ML

à F]QDOLF]EDSXQNWyZSURSRQRZDQDRFHQD

GDWDLSRGSLVHJ]DPLQDWRUD

'HF\]MD3U]HZRGQLF] FHJR3.(

GDWDLSRGSLV3U]HZRGQLF] FHJR3D VWZRZHM.RPLVML(J]DPLQDF\MQHM

Więcej arkuszy znajdziesz na stronie: arkusze.pl