Siap Menghadapi Ujian Nasional Fisika SMA2012

8/3/2019 Siap Menghadapi Ujian Nasional Fisika SMA2012

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NAGNARETEKTARUS:romoN /3.124 2102/80/3.III/

nakgnarenemgnupmaLradnaB3NAMSalapeKinihawabidnagnatadnatrebgnaY awhab

ukub Si 2102AMSakisiFlanoisaNnaijUipadahgneMpa :helosilutidranebhalada

neP ,amatrePsilu

amaN inairmaD.arD:

PI N : 1 169 8913180 702 002 2

,audeKsiluneP

amaN dP.S,nidibAlaniaZ:

PIN 900130299160909691:

narajalebmeplairetampakgnelepiagabesnakanugidnad kutnuakisif nahital ipadahgnem

2102akisiFlanoisaNnaijU NAMSid .gnupmaLradnaB3

.aynulrepesnakanugidkutnutaubidininagnaretektarusnaikimeD

,gnupmaLradnaB 2102iraunaJ2

gnupmaLradnaB3NAMSalapeK

akaW gnadiBkes ,mulukiruK

dP.S,osotnaSfirA

.PIN 100120689142807591


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2

EPATAK RATNAGN

ukuB 2102AMSakisiFlanoisaNnaijUipadahgneMpaiS bsilutidini nakrasadre K isi - isik

2102akisiFlanoisaNnaijU naujutreb maladgnipmadnepukubiagabesnakanugidkutnu

nahitalep laosnakhacemem - akisiflaos akisiFlanoisaNnaijUipadahgnemkutnu 2102nuhat .

awhabnaktagniidulreP naksalejnemmaladnetsisnokgnaysniasasahabnakapuremakisif

utikutnu,haimliainudmaladukalrebgnaylasrevinuasahabiagabesnadmalaanemonef

amatreplahnakapuremakisifpisnirpnad,sasa,pesnokadapnamahamep surahgnay

sumurlapahgnemaracnagnednakub,awsisarapheloitregnemid - sumur ulreputilahkutnu,

laosnakhacememnahital - akisiflaos .

laosnakhacememmalaD - aos l ,akisif iniukub tapad narabmagirebmemkutnunakanugid

labolg irad iretam lanoisaNnaijU F akisi ipadahgnemmaladawsisiasaukidsurahgnayAMS

.2102nuhatAMSakisiFlanoisaNnaijU

adapekhisakamiretnakpacugnemsilunepiniukubnasilunepiaselesnagneD naker - naker

idakisifurug aygnupmaLradnaB3NAMS haletgn m arapadapeknagnukudirebme silunep

.iniukub

anrupmesiradhuajutnetiniukuB iluneputianerakhelo s amirenem narasnadkitirk,nakusam

nugnabmemgnay nad :liameiulalemnakiapmasidtapad [email protected] .

iukubnaridahekagomeS nasilunepnaujutihunememtapadin igabtaafnamrebnad

.aynanuggnep

adajaWaddaJnaM . S uggnusrebgnayapai h- huggnus , lisahrebnaka . )*

,gnupmaLradnaB rebmeseD72 02 11

inairmaD

nidibAlaniaZ

.9002.idauF.A)* eN araneM5ireg .14lah.atrakaJ.amatUakatsuPaidemarG.TP.
mailto:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]


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3

ISIRATFAD

nagnareteKtaruS 1

ratnagnePataK 2

isIratfaD 3

1. 1isnetepmoK 4)narukugneP&akisiFnaraseB(

2. 2isnetepmoK 01)adiulF&akinakeM(

3. 3isnetepmoK 14)akimanidmreTnadsanaP(

4. 4isnetepmoK 45( )natengameK&nakirtsileK

5. 5isnetepmoK 17)aktpO&gnabmoleG(

6. 6isnetepmoK 49taleRiroeT( vi )mutnauKiroeT&sati

akatsuPratfaD 601


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4

1ISNETEPMOK :1isnetepmoK pisnirpimahameM - gnusgnalaracesakisifnarasebnarukugnempisnirp

nad .fitkejbonaditilet,tamrecnagnedgnusgnalkadit

1.1 nagnednarukugneplisahnakutnenemnadrukutalautausnarukugneplisahacabmeM.gnitnepakgnanarutanakitahrepmem

1.2 narasebnakgnarugnem/halmujnematresrotkevharanadrasebnakutneneM - naraseb.araciagabrebnagnedrotkev

pesnoK - :icnuKpesnok

1.1 araseB n:isnemidrebrasadnarasebmacam7adA

naraseB )IS(nautaS isnemiD

gnajnaP.1 m ]L[

assaM.2 gk ]M[

utkaW.3 kited ]T[

kaltuMuhuS.4 K [ ]

ayahaCsatisnetnI.5 dC ]J[

surAtauK.6 erepmA ]I[taZhalmuJ.7 lom ]N[

:isnemidrebkatnahabmatnarasebmacam2

.a ratadtuduS ---- > naidar:nautas

.b gnaurtuduS ---- > naidarets:nautas

kirteMnautaSISnautaS

SKM SGC

isnemiD ---- > remirP ---- > isnemidnad rednukeS --- :kutnuisnemidanuGnarabaj>

.akisiFnaamasrepgnikcehC

iulalemiracidisnemiD ---- kirteMnautaSuatasumuR>

T

L

M


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5

akgnA2.1 gnitneP

gnitnePakgnA :iradiridret,rukutalanagnednarukugneplisahiradhelorepidgnayakgnaaumeS:

itsapakgnA nariskatakgnA

narutA :

.a nagnarugneP/nahalmujneP

tikidesgnilaplamisednakrasadrebsilutiD

hotnoC :

1847,2

14,8

------- +

1851,11 ------ 61,11>

.b naigabmeP/nailakreP

tikidesgnilapgnitnepakgnanakrasadrebsilutiD

hotnoC :

657,4

011---------

0000

6574

6574

-------------- +

061,325 ---- > 025

araseB3.1 rotkeVn

naraseB ralakS .ajasaynialinuataaynrasebhelonakutnetidaynahgnaynarasebhalada:

.ayniagabesnad,naujalek,utkaw,assam,gnajnap:hotnoCnaraseB rotkeV aynialinuataaynrasebhelonakutnetidnialesgnaynaraseBhalada: ,

.aynharahelonakutnetidaguj

.ayniagabesnadayag,natapecrep,natapecek:hotnoC

tafiS - rotkevtafis

.1 A

+ B

= B

+ A

.fitatumoktafiS

.2 A

(+ B

+ C

(=) A

+ B

+) C

.fitaisossatafiS

(a.3 A

+ B

a=) A

a+ B

/.4 A

/+/ B

/ / A

+B

/

rotkeVauDnatluseR

BnadAaratnatudus=


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6

/R

=/ / / / / / / / / socA B A B

2 2 2

:aynhara

/ /nis

/ /nis

/ /nis

R A B

1 2

socv=xvtudusrotkeV nisv=yv

1V 1

socv=xv 1

nisv=yv 1

2V 2

socv=xv 2

nisv=yv 2

3V 3

socv=xv 3

nisv=yv 3

....... xv ....... yv

/natluseR v =/R ( ) ( ) v vX Y2 2

=gt:natluserharA

v

v

Y

X

(gnauRtanidrooKmetsiSadaProtkeVnaiarU )z,y,x

, , gnisam= - Arotkevaratnatudusgnisam

ubmusnagned - znady,xubmus A = A +x A +y A uataz A /= A /x i /+ A /y j /+ A /z k /A x

=/ A soc /A =/y A soc /A =/z A soc ArotkevnaraseB


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7

A A A AX Y Z / / / / / /2 2 2

nad i , j , k gnisam - znady,xubmusadapnautasrotkevgnisam

laoS - laos L 1isnetepmoKnahita

1. purkesretemorcimnagnedrukuidtalplabeT.tukirebretemorcimalaksnakujnuneprabmagnakitahrePmm.haladaacabretgnay

A. 04,5B. 5 54,C. 55,5D. 09,5E. 59,5

2. rukugneplisaH!tukirebrabmagnakitahreP onakkujnutidgnayna mc....haladagnorosakgnajhel

A. 02,2B. 29,1C. 01,1D. 29,0E. 01,0

3. 01PedoK8002NUrabmagitrepespurkesretemorkimnagnedrukuidmagoltalplabeT

alplabeT ....haladamagoltA. mm58,4B. 09,4 mmC. mm69,4D. mm89,4E. mm00,5

4. 74PedoK8002NUnadm53,51haladagnajnapigesreptapmekutnebrebhanatgnadibesrabelnadgnajnapnarukugneplisaH

.haladagnitnepakgnanarutaturunemhanatsauL.m5,21

0 1 2 3 4 05

54

04

0 321 4 0

54

0 1 2 3

0 5 01

mc

tipmirebsuinonalakS

amatualaksnagned


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8

A. 578,191 m2B. 88,191 m2C. 78,191 m2D. 9,191 m2E. 291 m2

5. .haladaslupmiisnemiD.utkawgnalesnagnedayagilaklisahhaladaslupmI

A. TLM 2B. TLM 2C. LM 2TD. LM 1TE. TLM 1

5. akitahreP rotkevn - teprebsatrekadapsikulretaynharanadrasebgnayrotkev akiJ.tukirebrabmagitrepeska....haladarotkevaudeknatluserakam,notwen1haladakatep1gnajnap

A. N8B. N9C. N01D. N11E. N21

6. 74PedoK8002NU FrotkevmargaidnakijasidinitukireB 1 Fnad 2

natluserkutnutapetgnaynaamasreP 21 FFR

....halada

A.

j2i2

B.

j4i2

C.

j4i3

D.

j2i4

E.

j4i4

F2

F1

1F

2F

:nautas(Yj )

:nautas(Xi )

543210

5,2

2

5,1

1

5,0


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9

7. aliB.Futiayrasebamasgnayrotkevhaub2iuhatekiD rasebnagnedhalmujrasebaratnanagnidnabrep

nagnedamasrotkevaudekhisiles 3 ....haladautirotkevaudektipaidgnaytudusrasebakam,

A. 03 o B. 73 o C. 54 oD. 06 o

E. 021o

8. FrotkevhaubagiT 1 F, 2 Fnad, 3 gnisam - rasebesgnisam 205 ,N 205 itrepesharanagnedN051nad,N....haladatubesretrotkevagiteknatluseR.tukirebrabmagnakkujnutidgnay

A. N52B. N05

C. N57D. N001E. N521

9. 01PedoK8002NU !inihawabidrabmagnakitahreP

:iradnatluserialiN BOAO halada ....

A. nautas3B. nautas4C. nautas5D. nautas8E. nautas01

F1

F2

F3

54 o

A

B

82

2

6

0

)j:nautas(y

)i:nautas(x


11/106

01

2ISNETEPMOK isnetepmoK 2: akinakemnapukacmaladaynnarutareteknadmalaalajegimahameM

lupmi,satisitsale,igrenenalakekek,ahasu,ragetadneb,kititadneb ,s

halasamnadmutnemom f .adiul

narasebnakutneneM1.2 - eguata,narutarebrakgnilemkareg,surulkaregsisifnaraseb kar

alobarap

2.2 maladaynnaparenepnadnotweNmukuhmaladnarasebiagabrebnakutneneM

irahesnapudihek - .irah3.2 narasebnakutneneM - nemom,tudusmutnemom,isrot(isatorakimanidsisifnaraseb

renepnad)tarebkitituata,aisreni maladnotweNIImukuhnakrasadrebaynnapa.ragetadnebhalasam

4.2 irahesnapudihekmaladigrenenahaburepnagnedahasunagnubuhnakutneneM - irah

uata narasebnakutnenem - .tiakretgnaynaraseb

sitsaletafisadapayaghuragnepnaksalejneM5.2 narasebnakutnenemuatanahabsati -

.satisitsalepesnokadaptiakretnaraseb

narasebnakutneneM6.2 - igrenenalakekekmukuhnagnedtiakretgnaysisifnaraseb

.kinakem

narasebnakutneneM7.2 - aslupmi,nakubmutnagnedtiakretgnaysisifnaraseb mukuhuat

.mutnemomnalakekek

8.2 mukuhnaksalejneM - nadkimanidnadkitatsadiulfnagnednagnubuhrebgnaymukuh

irahesnapudihekmaladaynnaparenep - .irah


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11


kareG1.2

kitedtutkawnatapecek=tV hupmetidgnaykaraj=S

lawanatapecek=oV natapecrep=a

utkaw=t isativargnatapecrep=g

v0 0=

h

BJG

vo 0=

v ? h1

h2

v = hg2

t = gh /2

v = )21(2 hhg


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21

BLGisairaV

QP

A B

A

B

QP

PS

BAQS

narutareBhabureBsuruLkareG

1 v =12

12

tt

rr

t

r

2.

12

12

tt

vv

t

va

3.td

rdv xx ;

td

rdv

y

y ;td

rdv zz

222

zyx vvvv

.4td

vda xx ;

td

vda

y

y ;td

vda zz

222

zyx aaaa

5 iuhatekiD a(t)

tdtavt

t

2

1

BA=QS+PS

BS=AS

PS BA=QS


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31

6. 2

1

t

t

tdtvr

iggnit=h

yubmuspadahretnatapecek=yV h1 zubmuspadahretnatapecek=zVamatrepnaiggnitek=

h2 |audeknaiggnitek= v atarnatapecek=| - kaltumatartarnatapecrep=||Phupmetidgnaykaraj=PS a- kaltumatar

aQhupmetidgnaykaraj=QS x xubmuspadahretnatapecrep=

anasatnilgnajnap=BA y yubmuspadahretnatapecrep=

aAhupmetidgnaykaraj=AS z etnatapecrep= zubmuspadahr

aBhupmetidgnaykaraj=BS )t( tisgnufa=

v atarnatapecek= - Vatar )t( tisgnufV=Visisopnahaburep=r 1 1natapecek=

xubmuspadahretnatapecek=xVutkawgnales=t

r2 rihkaisisop=

r1 lawaisisop=

t1 karegreblawautkaw=

t2 karegrebrihkautkaw=p= atarnatapecre - atar

atarnahaburep=V - atar

V2 2natapecek=

kareGgnatneTnotweNmukuH.2.2

1. notweNI.kH :)aisreni(namabmelek.kH

BLGnadmaidadnebkutnU 0F 0xF nad 0yF

2. notweNII.kH 0a BBLG amF amm 2121 amT 11

.3 notweNIIImukuH =iskaF - iskaerF

iskA adneb1adapidajretnikgnumkaditiskaer

4. (kesegayaG )sf(sitatskesegayaG*:)gf maid .N=sf s)kf(kitenikkesegayaG* karegreb .N=kf k

.metsis/adnebkaregnagnednanawalrebulalesharA


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41

w=Nw=N nisF F+w=N nis socw=N

akitatS.

0F *: 0xF * 0yF

0

xubmusayagnatluser=xF

yubmusayagnatluser=yF

ayagnatluser=F

assam=m

natapecrep=a

lamronayag=N

sitatskesegneisifeok=s

kitenikkesegneisifeok=k

tarebayag=W

ubmuseknakiaruidhaletestarebayagkutnebidgnaytudus=

.2 kareGudameM3

.1 soc2 212

2

2

1 vvvvvR BLG BLG

natlusernatapecek=rV2. VurulePkareG 1 1adnebnatapecek=

ubmusadaP x VBLG 2 2adnebnatapecek=

ubmusadaP y AVG BVG

Y

oV

X

soc0vvx

tvx soc0

tgvvy nis0

2

02

1nis tgtvy

xbsadapadnebhupmetidgnaykaraj=X

ybsadapadnebhupmetidgnaykaraej=Y

xubmusidnatapecek=xV

lawanatapecek=0V:tarayS

iggnitretkititiapacneM 0yv utkaw=t


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51

xamkabmetkaraJ 0y natapecrep=g isativarg

H

hy

kacnupkitittanidrooK

g

v

g

v

2

nis,

2

2nis 22

0

2

0

xamkabmetkaraJ iakapsurahidaj;kacnupiradrapmelidakijukalrebkadit hy

gvx 2nis

2

0

xam

2.4 isatoRkareGISALSNARTKAREG ISATORKAREG aynnagnubuH

reinilnaresegreP s tudusnaresegreP =s R.

reinilnatapeceK v tudusnatapeceK =v R.

reiniLnatapecreP a tudusnatapecreP =a R.

namabmeleK

isalsnart

)assam(

m isatornamabmeleK

)aisreninemom(

I =I r.m 2

ayaG a.m=F )ayagnemom(isroT .I= R.F=

igrenE citenik kitenikigrenE -

ayaD v.F=P ayaD =P . -

moM reinilmutne v.m=p relugnamutnemoM .I=L -

G pateTnatapecrePnagnedkare

)PATETHARA(ISALSNARTKAREG )PATETUBMUS(ISATORKAREG

v=tv 0 ta+ =t 0 + t.

v=s o +t 1/2 ta 2 = 0 +t 1/2 t. 2

v t 2 v= 0 2 s.a2+ t2 = 02 2+ .


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18/106

71

dnidraulidadnebkareG.1 rakgnilemgni

g.m=N - .mv

R

2

socg.m=N - .mv

R

2

.rakgnilemgnidnidmaladidadnebkareG.2

.m+g.m=Nv

R

2

g.m=N soc .m+v

R

2

.m=Nv

R

2

- socg.m .m=Nv

R

2

- g.m

lakitrevratupidilatnagnednakgnubuhidadneB.3

m+g.m=Tv

R

2

socg.mm=T m+v

R

2


19/106

81

.m=Tv

R

2

- socg.m .m=Tv

R

2

- g.m

inok/lagufirtnecnanuya(ratadnemratupidilatnagnednakgnubuhidadneB.4 )s

socT g.m=

nisT .m=v

R

2

2=TaynedoireP L

g

soc

irajhaladaR:nagnareteK - narakgniliraj

.ratadnemnarakgnilkutnebrebnagnukithaubesadapadnebkareG.5

.N k .m=v

R

2

lamronayag=N

g.m=N

isativarG5.2

.1 2

21

R

mmGF

ROTKEV

.2 2R

MGg ROTKEV

isativargnademtauk

.3R

MGv imubassam

4.R

MmGpE

5. ABBA vvmw


20/106

91

6. EKH

21

2

1

2

2

112

RRMGvv

kiratayag=F - adnebaudekaratnakiranemargatnatsnok=G v isati

m1 1adnebassam=

m2 2adnebassam=

adnebaudaratnakaraj=R

arglaisnetopigrene=pE v isati

arglaisnetop=V v isati

WA

B = BekAadnebiradahasU

V1 1adnebnatapecek=

V2 2adnebnatapecek=

K6.2 fisaM/rageTadneBnagnabmitese

:ayaGnemoM:nemoM nis.l.F= d.F=aynraseb,harananawalrebipatetrasebamasgnayayagaud:lepoKnemoM

:isalsnarTnagnabmiteseK ,0=xF 0=yF:isatoRnagnabmiteseK 0=

:isatoRnadisalsnartnagnabmiteseK ,0=F 0=)patnam(libatSnagnabmiteseK :

.alumesnakududekekilabmeknaka,nakgnalihidayagalibapA

)kiannakaadnebtarebkitit(nagnabmiteseK

:nerefednInagnabmiteseK

dayaG nanialrebtapmetidgnabmites,nakgnalihi

)patetadnebtarebkitit(

:libalnagnabmieseK

silabmektapadkadit,nakgnalihidayagalibapA .alume

)nurutnakaadnebtarebkitit(

2.7T adneBtareBkiti

paitsinejassam(negomohgnayadnebkutnutarebkitiT - .)amasadnebnaigabpait

)siragkutnebreb(reiniladnebkutnU.a

x l xln n

0 . y l yln n

0 .

:akam,)isnemidaudadneb(nasauladnebkutnU.b

xA x

A

n n0

. y

A y

A

n n0

.

)agitisnemidreb(gnauradnebkutnU.c

xV x

V

n n0

. y

V y

V

n n0

.


21/106

02

tafiS - :tafis

1. emisubmusiaynupmemnegomohadnebakiJ adapkatelretayntarebkititakam,irtemisgnadibuatairt

.tubesretirtemisgnadibuatairtemisubmus

2. .adnebisisopadapgnutnagretkadit,patettafisrebtadapadnebtarebkititkateL

3. )ubmusgnadib(irtemisgnadibaudiaynupmemnegomohadnebutausualaK katelretayntarebkititakam

.tubesretgnadibaudekgnotopsiragadap

ayntarebkititakam,siragutasiulalemkaditgnayirtemisgnadibhaubagitiaynupmemadnebutausualaK

.tubesretirtemisagitekgnotopkititadapkatelret

xubmusidayagnatluser=xF

yubmusidayagnatluser=yF

ayagnemomhalmuj=

reinilrutarettarebkititlebaT

adnebamaN adnebrabmaG tarebkititkatel K nagnarete

surulsiraG.1

x0 = 12

l etkitit=z siraghagn

narakgnilrusuB.2

y Rilat rusub BA

rusub BA0

iraj=R - narakgniliraj

hagnetesrusuB.3

narakgnily

R0

2

negomohgnadibsaulkutnebrebrutaretadnebtarebkititlebaT

adnebamaN abmaG adnebr tarebkititkateL nagnareteK

agitigesgnadiB.1

y 0 = 13 tiggnit=t

nagnotoprep=z

sirag - tarebsirag

FC&DA

,gnajnegnarajaJ.2

,taputekhaleB

rakgnasrujuB

gnajnapigesreP

y0 = 12

t iggnit=t

nagnotoprep=z

nadCAlanogaid

DB


22/106

12

gnirujgnadiB.3

narakgnil y Rilat rusub BA

rusub BA0

23


hagnetesgnadiB.4

narakgnily

R0

4

3

iraj=R -j narakgnilira

negomohgnaurgnadibutnebrebrutaretadnebtarebkititlebaT

adnebamaN adnebrabmaG tarebkititkateL nagnareteK

tilukgnadiB.1

amsirp kititadapz

zsiraghagnet 1z2 y0 =

12

l

z1 arebkitit= t

salagnadib

z2 tarebkitit=

satagnadib

isisgnajnap=l

.kaget

tilukgnadiB.2

.rednilis

)pututapnat(

y0 = 12

t

2=A t.R

iggnit=t

rednilis

iraj=R - iraj

salanarakgnil

A tiluksaul=

S rednili

tiluKgnadiB.3

samil =zT 13 TTsirag=TT

gnauriggnit

tilukgnadiB.4

tucurek =Tz 13

TT iggnit=TT

tucurek

=T tasup

salanarakgnil


23/106

22

tilukgnadiB.5

.alobhagnetes y0 = 12

R iraj=R - iraj

negomohlajep,gnaurkutnebrebrutaretadnebtarebkititlebaT

adnebamaN adnebrabmaG tarebkititkateL nagnareteK

msirP.1 a

.narutareb

hagnetkititadapz

zsirag 1z2

y0 = 12

l

ilaksalasaul=V

iggnit

z1 tarebkitit=

salagnadib

z2 tarebkitit=

satagnadib

isisgnajnap=lkaget

emulov=V

P amsir

liS.2 lajePredni

y0 = 12

t

=V R 2 t

rednilisiggnit=t

iraj=R - iraj

salanarakgnil

lajepsamiL.3narutareb y0 = 14 TT

= 14

t

=V salasaul iggnitx

3

iggnit=t=TTnarutarebsamil

lajeptucureK.4

y0 = 14 t

=V 13

R 2 t

tucurekiggnit=t


sala

alobhagneteS.5

lajep y0 = 38 Riraj=R - .alobiraj


24/106

32

2.8 igrenEnadahasU

_______________

1. sFw soc nagnirimektudus=natapecek=v

2.2

2

1vmkE W ahasu=

F ayaG=

3.hgmpE

karaj=s

laianetoPigrenE=pE

4. kEpEkemE adnebassam=misativargnatapecrep=g

5. kEw hanatiradadnebnaiggnitek=h kiteniKigrenE=kE6.

pEw kinakemigrenE=mE

7. )igrenEnalakekeKmukuH(EKH

2211 pEkEpEkE

.2 9 nadslupmI,mutnemoM nakubmuT

1. vmP mutnemom=Passam=m

2. tFI natapecek=vslupmi=I

3.

0vvmI

PI

t

ayag=F

utkawgnales=t

4. )mutnemoMnalakekeKmukuH(MKH

BBAABBAA vmvmvmvm

+vnanakekhara

virikekhara -


25/106

42

.5

BA

BA

vv

vve

e )nagnitnelek(nakubmutneisifeok=

.6 nakubmutsineJ

anrupmesgnitneL 1e EKHMKH

naigabesgnitneL 10 e MKH ilakesamasgnitnelkadiT 0e MKH

7.

0

1

h

he h1 1nalutnamephaletesadnebiggnit=

ho alumadnebiggnit= - alum

8.n

n ehh2

0 hn neknalutnamephaletesadnebiggnit=

.9

.2 01 satisitsalE

1. xkF sagepayag=Fsagepatnatsnok=k

.2 2

21 xkpE kifargnasaul Fx sagepadapnagnapmis=x

laisnetopigrene=pE

3 21 kkpk lelarapnanusus

.421

111

kksk iresnanusus

5.LA

LFPE

0

kirat/naketayag=F

alumgnajnap=oL - alum

Fayagsurulkagetgnaygnapmanepsaul=A

gnajnapnahabmatrep=L

satisitsalesuludom=E

sserts=P

= niarts

nakubmutmulebeskE=gnalihE nakubmuthaduseskE

=

2222

2

1

2

1

2

1

2

1BBAABBAA vmvmvmvm


26/106

52

2.11 adiulF

karegreBkaTadiulF

1.v

mtaz

.2

ria

vitaler

z ria 4adap 0C 31 mc

rg= 30001 m

gk

3.

BA

BAc

vv

mm

4. hgzh

5.

Ahg

AhF

z

h

6. sedemihcrA gnayriactaz)tareb(halmujnagnedamasaynrasebadnebadapajrekebgnaysataekayaG:

.nakhadnipid

hgF zA

.7 1 gnupareTAFw )aynhurulesnakmanebidakij(

AFw gnabmitesnaadaekmalad

2vgvg zbdb

.8 gnayaleM

2121 vvgww z

9. maleggneT

AFw

As Fww

01 . )K(isehoK

)A(isehdA

11 . satiralipaK

rgy

z

soc2


27/106

62

karegreBadiulF

1. vAt

Q loV

2. satiunitnoK

2211 vAvA

.3 ylluonreB2

222

2

1112

1

2

1vhgPvhgP

sinejassam=

assam=m

emulov=v

repsaul=A naakum

naketayad=Prasadiradnaiggnitek=h

tibeD=Q

fitaler fitalersinejassam=

laoS - Llaos 2isnetepmoKnahita

1. 01PedoK8002NU !rabmagadapitrepesnaksikulidsurulnalajadapujalemgnayrotomilonasetetnatamagneP

(1)

(2)

(3)

(4)

emgnaY nagnedkaregrebgnadeslibomnakkujnun patetnatapecrep halada ....A. 2nad1B. 3nad1C. 4nad1D. 3nad2

E. 4nad2

2. abit,maj/mk09natapeceknagnedlibomiaradnegnemgnaroeseS - hagnetidlicekkanagnaroestahilemabitibomakiJ.aynakumidm002karajadapnalaj s/m52,1rasebesmumiskamnatabmalrepnagnedmeridl 2 ,

awitsirepidajretakam ....A. .utikanaakumiditnehrebnakatapetlibomB. itnehrebgnusnallibomC. utikanaakumidhuajitnehreblibomD. utikanakarbanemutkawesitnehreblibomE. haletesitnehreburablibom .utikanakarbanem


28/106

72

3. 01PedoK8002NU v(kifarG .naabmolreputausadapadepeshaubeskaregnakkujnunem)t

nakkujnunemgnaykifargnaigaB rasebgnilapnatapecrep halada ....A. BAB. CBC. DCD. ED

E. FE

4. 74PedoK8002NU v(kifarG kisamrofnignem)t itnehrebaggnihkaregrebnaidumek,maidiradialumlibomhaubeskaregna

.rabmagadapitrepesnokes8amales

....haladas8=tiapmass5=taratnalibomhupmetidgnaykaraJA. m06B. m05C. m53D. m02E. m51

5. 01PedoK8002NU rabmagnakitahreP s.m01=g(!tukireb 2)

....haladahanatidiapmasakitekalobnatapeceK

A. 1s.m65

B. 1s.m63

05

04

03

02

01

87654321

maj.mk(v 1)

)maj(t

A B

C

D

E

F

04

03

20

01

87654321

)s/m(v

)s(t

B

A

C

D

E

m1

x

v 2= s.m 1


29/106

82

C. 1s.m62

D. 1s.m52

E. 1s.m32

6. 74PedoK8002NU

hutajidmobhaubeS nagnedm005.4naiggnitekadapratadnemgnabretgnaytawasephaubesiradnakmaj.mk027natapecek 1 s.m01=g(! 2)

....haladaBAkaraj,BkititidhutajmobaliB

A. mk1B. mk3C. mk6D. mk21E. mk42

7. 01PedoK8002NU awabidrabmagnakitahreP !inih

....haladaadnebreinilnatapecekgnatnetranebgnaynaataynrep,sataidrabmagagiteknakrasadreBA. v )1( v= )2( v= )3( B. v )3( v> )2( v= )1( C. v )2( v> )1( v= )3( D. v )1( v< )3( v< )2( E. v )1( v> )2( v> )3(

8. 74PedoK8002NU itutaustudusisisoP :)t(utkawisgnufiagabesnakataynidtapadratuprebgnayadoradapkit

2t2t015 nagned .nokesmaladtnaddarmalad....haladanokes3=tutkawadaptudusnatapecekraseB

A. s.dar23 1B. s.dar42 1C. s.dar22 1D. s.dar02 1E. s.dar01 1

9. itahreP iraJ!initukirebrabmagnak - .mc04=Cadornad,mc02=Bador,mc01=Aadoriraj natapecekakiJ....haladaCadorreinilnatapecek,s/m08=Aadorreinil

A. s/m8B. s/m04C. s/m08D. s/m061E. s/m008

A B

C

A Bhanat

m005.4

gk1

m3=r

kited6/naratup81

)1(

gk3

m2=r

kited3/naratup21

2(

gk2

m5,1=r

kited21/naratup6

3(


30/106

92

01 . irajnagnedkirbaphaubesmaladnisemadoR - 4iraj .s/dar05tudusnatapeceknagnedratupreb,mc0....haladatubesretadorlatepirtnesnatapecreP

A. s/m002 2 B. s/m000.1 2C. s/m000.2 2D. s/m000.01 2E. s/m000.02 2

11 . m1natapecrepnagnedkaregrebgnuraK.N05ayagnagnedkiratidsarebisirebgnurakhaubeS s/ 2 akiJ.....haladagnurakkaregnatapecrepakam,N001ayagnagnedkiratidgnarakes

A. s/m5,0 2B. s/m0,2 2C. s/m0,5 2D. s/m0,02 2E. s/m0,05 2

21 . idajnems/m01iradnarutarebaraceshabmatrebaynnatapeceknokes5amales,not1assamreblibomhaubeS5,22 haladatubesretlibomtapecrepmemkutnunakulrepidgnayayaG.s/m ....A. N5B. N52C. N052D. N005.2E. N000.52

31 . 01PedoK8002NU .rabmagitrepesayag3helokiratidadnebhaubeS

:iuhatekid,sataidrabmagnakrasadreB(1) adnebnatapecrep lon(2) narutarebsurulkaregrebadneb(3) maidnaadaekmaladadneb(4) aynkiratayagiradlicekhibeladnebtarebakijkaregrebnakaadneb

....haladaranebgnaynaataynreP

A. ajas)2(nad)1(B. ajas)3(nad)1(C. ajas)4(nad)1(D. ajas)3(nad,)2(,)1(E. nad,)3(,)2(,)1( )4(

41 . 74PedoK8002NU

ayaghelokiratidadnebhaubeS

1F nad

2F .rabmagitrepesrasakiatnaladap

....akam,N5rasebesiatnalnadadnebaratnanakesegayagakiJ

A. maidadnebB. narutarebsurulkaregrebadnebC. reb lonnatapecrepnagnedkaregD. s.m2natapecrepnagnedkaregreb 2E. s.m5natapecrepnagnedkaregreb 2

51 . nagnirimektuduskutnebmemgnayrasakgnirimgnadibadapnakatelidgk4assamrebkolaB nat( )4/3=bkolab,sapelidkolabtaaS.ratadgnadibpadahret neisifeokakiJ.gnirimgnadibgnajnapesnurutkaregre

s/m01=gnad5,0gnadibnagnedkolabsitenikkeseg 2 gnadibirusuleynemkolabaynnurutnatapecreP.....haladagnirim

F3 N63=

F2 N42=

F1 N21=

F2 N04=F1 N51= gk4=M


31/106

03

A. s/m5,0 2B. s/m0,1 2C. s/m5,1 2D. s/m0,2 2E. s/m5,2 2

61 . ssamgnayrotavelehaubeS natapecrepnagnedmaidnaadaekiradhawabeklakitrevkaregrebgk005aynas/m5,2patet 2 . s/m01isativargnatapecrepakiJ 2 :haladarotavelekiranepilatnagnagetraseb,

A. N052.1B. N005.1C. N057.3D. N000.5E. N052.6

71 . gnisamaynassamgnayadnebauD - mgnisam 1 ad mn 2 alum idajnemaynkarajnaidumeK.mc5karajrebalumalumnaadaekaratnatubesretadnebaudekisativargayagnagnidnabreP.mc01 - :haladarihkanagnedalum

A. 2:1B. 1:2C. 5:1D. 4:1E. 1:4

81 . 01PedoK8002NU idimubtenalpnakgnidnabidAtenalpsisifataD 01x76,6=isatifargatnatsnok=G(!tukireblebatnakkujnut

11 m.N 2 gk. 2)IMUB AtenalP

assaM M M5,0iraJ - ira j R R 2

....idajnemayntarebakam,Atenalpekawabid,N001imubidadnebtareB

A. N5,21B. N52C. N57D. N001E. N521

91 . 8002NU 74PedoK !inihawabidrabmagnakitahreP

MA Atenalpassam=MB imubassam=

rA iraj= - Atenalpiraj

rB iraj= - imubiraj

....haladaAtenalpidadnebtarebakam,N005imubidadnebtarebakiJA. N01B. N52C. N57D. N001E. N052

AB

rA rB

MA x5= MB

rA = 01 x rB

AtenalP imuBtenalP


32/106

13

02 . eS mm4gnapmanepsaulnadmc27gnajnaptawaksatu 2 nadN8,2ayaghelokiratidtubesrettawaK..mc60,27idajnemtawakgnajnapaggnihes :haladatawaksatisitsalesuludoM

A. 01x0,6 8 m/NB. 01x0,8 8 m/NC. 01x4,8 8 m/ND. 01x4,8 3 m/NE. 0,7 01x 5 m/N

12 . 2NU 74PedoK800 .inihawabidlebatitrepesatadhelorepidsageputaussatisitsalenaabocrepadaP

)N(ayaG )m(gnajnaPnahabmatreP

89,0 69,1 49,2 29,3

01.8 401.61 4

.42 01 401.23 4

ubesretsagepatnatsnokialinawhabnaklupmisidtapaD ....haladatA. m.N200.1 1B. m.N102.1 1C. m.N522.1 1D. m.N542.1 1

E. m.N052.11

22 . 01PedoK8002NU

marg02assamrebutabnakkatelidsagepsataidnaidumek,mc05ayngnajnaplakitrevisisopmaladsagePhawabekigalnaketidsagepakiJ.mc94idajnemsagepataynret 01=g(naksapelidnaidumekmc4huajes

s.m 2 ....haladahanatiradrukuidutabnaratnolmumiskamiggnitakam,)A. mc45B. mc5,75C. mc85D. mc5,85E. mc2,26

32 . alumgnajnapnagnednakgnutnagidsagephaubeS gnihesmarg001nabebirebidsagepgnujU.mc03alum agisativargnatapecrepnadmc5huajeshawabekkiratidtubesretnabebakiJ.mc53idajnemsagepgnajnap

s/m01imub 2, ....haladasagepsatisitsalelaisnetopigreneakamA. eluoj520,0

B. eluoj50,0C. eluoj1,0D. eluoj52,0E. eluoj5,0

42 . kurthaubeS 000.81napatetikilimemsageppaiT.sagephaubtapmegnukudidgK008.1assamikilimemosufakiteklibomnarategisneukerf,gk002latotassamikilimemlibommaladadarebgnaygnaroamilakiJ.m/N

....haladanalajhagnetidgnabulhaubesitawelem

A. zH3

1

B. zH5

1

C. zH3

D. zH3

E. zH4

52 . mtukirebrabmagadaP A s/m01=gnadgk5,1= 2 metsysnadnakiabaidilatnagnedlortoknakesegakiJ.assamakamgnabmiesnaadaekmalad ....haladaBnabeb

A B

54 o


33/106

23

A. gk5,1

B. 25,1 gk

C. 35,1 gk

D. gk51

E. 251 gk

62 .

.sataidrabmagitrepesragetadnebnagnabmiesekmetsisadaP ayntareb,mc08gnajnapnegomohgnatabBAeb,N81 .ilathaladaCB.N03=nabebtar halada)notwenmalad(ilatadapnagnaget,mc06=CAkarajakiJ

.A. N63B. N84C. N05D. N56

E. N08

72 . nadnicilkobmetpaggnA.kobmetadapradnasrebgk02assamrebnadretem01=LgnajnapaggnathaubeSeisifeoknagnedrasakiatnal ,aggnatikianemkadnehgk06asamrebnazuaFakiJ.5,0sitatsnakesegn

?karegrebialumnakaaggnattaaskiantapadnazuaFiatnaliradrukuidaparebkarajadap

A. lonB. m1,5C. m2,6D. m2,7E. m0,8

82 . aJ.tukirebrabmagitrepeskutnebrebnegomohnotrakhaubeS BAsiragiradgnutihidnotraktarebkititkar....halada

A. mc2B. mc4C. mc5

D. 72

3 mcE.

1192 mc

92 . 01PedoK8002NU adnebkutnebnakitahreP - !tukirebadneb

A B

nabeB

C

8

6

A B

C

D

E

Y

8

4

5

y0

mc61=t

kolaB

y0

1=t 8 mc

gnubaT


34/106

33

dibadapadarebadnebhurulesakiJ y(tarebkititkatelakam,ratadnemgna 0 salagnadibtakedgnilapgnay)....halada

A. kolabB. gnubatC. lajepalob

D. acakamsirPE. lajeptucureK

03 . 74PedoK8002NU .lajeptucureknadlajeprednilisiradiridretgnaynegomohlajepadnebnanusushaladatukirebrabmaG

....haladaOkititpadahretadnebnanusustarebkitittanidrooK

A. mc)02;0(B. mc)5,02;0(C. mc)5,52;0(D. mc)53;0(E. mc)05;0(

13 . 74PedoK8002NU FayaG 1 F, 2 F, 3 Fnad, 4 CB=BAkaraJ.rabmagadapitrepesgnatabadapajrekeb .m1=DC=

y0

r 21= mc

alobhagneteSlajep

y0 t 81= mc

amsirPacak

y0

t 51= mc

tucureKlajep

mc03

mc04

)0,0(O

yubmus

xubmus

mc02

F1 N01=

F2 N51=

F3 N02=

F4 N5=

A B C D


35/106

43

DkititidratupubmusnagnedDAgnatabadapajrekebgnayayagnemomakamnakiabaidgnatabassamakiJ.halada

A. m.N81B. m.N02C. m.N03D. m.N53E. m.N04

23 . 01PedoK8002NU itrepesnakkatelidgk4assamnagnedm6gnajnapnegomohBAgnataB .rabmagadap

.haladaaynaisreninemom,OkititiulalemratupubmusnagnedratupidgnatabaliBA. m.gk21 2B. m.gk01 2C. m.gk7 2

D. m.gk6 2E. m.gk4 2

33 . mgk6aisreninemomikilimemtelabiranepgnaroeS 2 mgk2nad,gnatneretaynnagnelaudekakitek 2 ek akitratuprebialumiranepnadratupubmusiagabesiranepnadabakiJ.aynhubuteknaktaparidnagnelaudektaparemnagnelakitekiraneptudusnatapecek,gnatneretaynnagnelaudekakiteks/naratup3natapecekadap

.haladaaynhubutekF. s/naratup6G. s/naratup9H. s/naratup21I. s/naratup51J. s/naratup81

43 . lajepalobhaubeS 252 RMI irajikilimemnadgk2aynassam s/m02naujaleknagnedkaregrebmc01iraj

.haladaalobisatorkitenikigreneraseB.ratupreblibmas

A. j08 eluoB. eluoj021C. eluoj061D. eluoj004E. eluoj065

53 . lajeprednilishaubeS 221 RMI irajnadMassamreb gnadibhaubesinurunemgnidnileggnemRiraj

nagnirimektudusnagnedgnirim .ratadnemharapadahret P atapecre gnadibinurunemtaasrednilisn.haladagnirim

A. nisg7

3

B. nisg7

5

C. nisg5

7

D. nisg3

2

E. nisg2

3

63 . adN5ayagnakulrepidrabmagitrepesisisopnagnedkolabkiranemkutnU 21rasebesahasunaklisahgnemn.eluoj tudus,nanakekm8,4resegrebkolabakiJ ....haladarabmagadap

m4m2 O

A B

F


36/106

53

A. 03 oB. 73 oC. 54 oD. 35 oE. 06 o

73 . ahasU.maj/mk27natapecekiapacnemaggnihmaidnaadaekiradkaregrebnot5,3assamrebkurthaubeS

mkutnunakulrepidgnay ....haladatubesretkurtnakkareggneA. 01x0,5 2 eluojB. 01x2,1 3 eluojC. 01x5,3 5 eluojD. 01x0,7 5 eluojE. 01x5,3 6 eluoj

83 . 01PedoK8002NU adnebnakukalidgnayahasU.m05ayniggnitgnaygnudegiradsabebhutajgk2assamrebadnebhaubeS

iradkaregrebamales s.m01=g(m02naiggnitekekm05naiggnitek 2 .halada)A. J003B. J004C. J005D. J006E. J007

93 . akiJ.)x(nahadnipreppadahretadnebutausadapajrekebgnay)F(ayagnagnubuhnakataynemtukirebkifarG alumadneb - esadnebkitenikigreneaynrasebakam,maidalum ....haladam4huajeshadniprebhalet

A. eluoj01B. eluoj02C. eluoj04D. eluoj55E. eluoj06

04 . ekkusamukapaggnihesukaphaubesmatnahgnems/m02natapecekrebnadgk2assamrebulaphaubeSniuyaknakbabesidgnaynanahatayagraseB.uyakmaladmc5malad .haladai

A. N004B. N008C. N000.4D. N000.8E. N000.04

14 . .)rabmagtahil(Bhadneretkititiapacnemaggnihmc54AiggnitretkititiradnuyarebialumnanuyahaubeSs/m01=g(tubesrethadneretkititidtaasadapnaujaleK 2 lada) .ha

A. s/m3,0B. s/m6,0C. s/m2,1D. s/m5,2E. s/m0,3

24 . gnayitrepesalobarapkutnebrebaynnasatnilnadhanatnaakumrepiradrapmelidadnebhaubeSkE(Aidkitenikigrene:atadnagnedtukirebrabmagnaktahilrepid A pE(Bidlaisnetopigrene,J006=) B =)

(BekAiradutkawnaadebrep,J004 tA-B (DekAiradutkawnaadebrep,s0,1=) tA-D :akam,s0,3=)

mc54

A

B

)N(F

01

0 )m(x2 4


37/106

63

(1) tA-C s2=

(2) kE B J002=(3) kE D pE+ D J006=(4) tC-D s1=

.haladaranebgnaynaataynrePA. )3(nad,)2(,)1(B. )3(nad)1(C. )4(nad)2(D. ajas)4(E. baumeS rane

34 .

ribibiradsapeltaasadapnatapecekaggnihajemnaakumrepiradgnorodidgk1assamnagnedlekitraputauS

.)rabmagtahil(s/m2ajem ....haladam1hanatiradaynnaiggnitektaasadaplekitrapkinakemigrenE

A. J2B. 01 JC. J21D. J22E. J42

44 . 74PedoK8002NU B akiJ.retemh2iradhutajBadnebnadretemhnaiggnitekiradhutajAadneB.amasassamrebBnadAadne

s.mvnatapeceknagnedhanathutneynemA 1 enenagnedhanathutneynemnakaBadnebakam, citenikigr....rasebes

A. 2vm2

B. 2vm

C. 2vm4

3

D. 2vm2

1

E. 2vm4

1

54 . nagnedgnapmunepnadgk04assamnagnedatereK.m05naiggnitekiaynupmemretsaocrellorhaubeSam .satagnilaptapmetidadarebgk05ass ?gnapmunepnadaterekmumiskamkitenikigreneadareB

A. 01x0,8 4 eluojB. 01x0,7 4 eluojC. 01x0,6 4 eluojD. 01x5,5 4 eluojE. 01x5,4 4 eluoj

64 . assamaliB.N001ayagnagnedmaidgnayalobgnadnenemalobkapesniamepgnaroeS amalnadgk8,0alob....haladaniamepikaknaklaggninemtaasalobnatapecekakam,s1,0ikaknagnedalobnahutnesrep

A. s/m9B. s/m01C. s/m5,21D. s/m81E. s/m08

A

B

C

D

E

m2

gk1

m1


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73

74 . alumgnaygk002assamrebuharepiradraulektapmolemgk06assamrebiduB - alum naakumrepadapmaidtacnolemiduBhaletestaasesuharepnaujalekraseB.s/m7naujaleknagnednanakektacnolemiduBakiJ.ria

....haladaA. s/m0B. nanakeks/m1,2C. irikeks/m1,2D. nanakeks/m2,3

E. irikeks/m2,3

84 . maynassamgnayBkolabnadAkolaB A = mnadgk5 B vnaujaleknagneditakednemgnilaskaregrebgk1= A =vnads/m2 B gnilasaynaudeknakubmuthaletesnadnakubmutrebnaidumekutikolabaudeK.s/m21=

.nialamasutaslepmenem .haladanakubmuthaletestaaseskolabaudeknatapeceKA. aess/m52,0 alumAkolabnakaregnagnedhar - alumB. alumAkolabnakaregnagnedharananawalrebs/m33,0 - alumC. alumAkolabnakaregnagnedharanawalrebs/m54,0 - alumD. alumAkolabnagnedharaess/m33,0 - alumE. alumAkolabnakaregnagnedharaess/m55,0 - alum

94 . PedoK8002NU 01 6ujalnagnedkaregrebgk4,0assamrebAaloB sm 1 gnadesgnaygk6,0assamrebBalobkubmunemnad

sm8ujalnagnedAalobtakednemkaregreb 1 .anrupmesgnitnelkaditnakubmutrebtubesretalobaudeK.....haladanakubmuthaletesalobujaL

A. 4,2 s.m 1 raes Balobkaregha

B. s.m5,2 1 BalobkaregharaesC. s.m4,1 1 BalobkaregharaesD. s.m4,2 1 AalobkaregharaesE. s.m5,2 1 Aalobkaregharaes

05 . gnisamaynassamgnayadnebauD - mgnisam 1 m= 2 vnaujaleknagneditakednemgnilaskaregrebgk2= 1 01=vnads/m 2 2= gnisamnatapecekakam,anrupmesgnitnelnakubmutrebadnebaudekakiJ.s/m0 - gnisam

.haladanakubmuthaletesadnebA. v1 1 = vnads/m5 2 1 s/m01=B. v1 1 = vnads/m01 2 1 s/m01=C. v1 1 = vnads/m01 2 1 s/m02=D. v1 1 = vnads/m02 2 1 s/m01=E. v1 1 = 02 vnads/m 2 1 s/m02=

15 . gk0021aynsinejassamgnayriactazadapgnuparetgnayadnebhaubesnakkujnuneminihawabidrabmaGm-3 ....haladatubesretadnebsinejassam,adnebirad5/1halada)A(naigabiuhatekidaliB.

A. mgk069 -3B. mgk009 -3C. mgk008 -3D. 047 mgk -3E. mgk005 -3

25 . (ilonadrianagnedisiidnagnubuhrebanajeb,tukirebrabmagadaP ria mc/g1= 3 , ilo mc/g8,0= 3 .) hisileS.haladarianadilonaakumrep

A. mc6,1B. mc2,3C. mc0,4D. mc0,5E. mc0,61

35 . gnisamkilordihkarkgnodhaubeS - napmanepgnisam ayaghakapareB.mc21nadmc3retemaidrebaynggnaylibomtakgnagnemkutnutubesretkarkgnodlicekgnapmanepadapnakajrekidsurahgnaymuminim

?N008ayntareb

ilo

ria

mc02

B

A


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83

A. N05B. N52C. N51D. N01E. N5

45 . nedadebrebaynretemaidgnayapiputausmaladrilagnemriA gnayrianatapecekakiJ.2:1nagnidnabrepnag

gnayapipnaigabadaprianatapecekaynrasebakam,s/m04rasebesrasebgnayapipnaigabadaprilagnem ....rasebeslicekF. s/m02G. s/m04H. s/m08I. s/m021J. s/m061

55 . P,hawabidrabmagiraD 1 nad v1 ethalada P,payassataidaradunatapeceknadnanak 2 nad v2 nanakethaladasurahakam,tawaseptakgnagnemtapadpayasragA.tawaseppayashawabidaradunatapeceknad

....taraysihunemem

1. P1 P= 2 nad v1 = v22. P1 P< 2 nad v1 > v23. P1 P< 2 nad v1 < v24. P1 P> 2 nad v1 > v25. P1 P> 2 nad v 1 < v2

65 . .tukirebrabmagitrepesaynkatelgnaygnapmanepiulalemadiulfnarilA saulilakaudAgnapmanepsaulakiJ....haladaapipaudekadapnanakethisilesakam,Bgnapmanep

A. 2 vA2B. 3 vA2C. 5,1 vA2D. 2 vAE. 3 vA

75 . ubeS narocobektapadretrianaakumrephawabidm8,1namaladekadaP.m3iggnitesriaisiidikgnathanaujaleknagnedraulektorpmeynemriaaggnih v iradrukuidhanatekriaaynhutajtapmetkarajapareB.

?ikgnatgnidnid ( g s/m01= 2)

A. 2,6 6 m

B. 4,2 6 m

C. 0,2 3 m

D. 2,1 6 m

E. 0,1 3 m

85 . 01PedoK8002NU 01=g(rabmagadapitrepestahilretutnetretnaiggnitekiradPgnabuladapriaikgnatnarocobekawitsireP

s.m 2)

P1 v, 1

P2 v, 2v

A vA B vB


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93

....haladahanatiapacnemaggnihgnabuliradraulekialum,rianakulrepidgnayutkaWA. s1B. s2

C. s5,2D. s3E. s4

95 . 74PedoK8002NU awitsirepnakkujnuneminihawabidrabmaG .riaikgnatadapnarocobek

....haladagnabuliradraulekgnayria)v(natapeceK

A. 2 sm 1

B. 01 sm 1

C. 5 sm 1

D. 52 sm 1

E. 012 sm 1

06 . kitahreP AgnapmanepsaulakiJ!tukirebrabmagna 1 Anad 2 gnisam - gnisam - mc8gnisam 2 mc4nad 2 akam,.haladaretemirutnevapipikusamemria)v(natapecek

A. s/m5,0B. s/m0,1C. s/m0,6D. s/m5,7E. s/m0,8

mc51

A1 A2v

m2,0P

h

m2

=


41/106

04

3ISNETEPMOK

:3isnetepmoK adrolakpesnokimahameM sagtafisatres,rolakisavresnokpisnirpn

maladakimanidomretmukuhtukgnaynemgnayaynnahaburepnad,laedi

.rolaknisemaynnaparenep

kcalBsasauata,rolaknahadniprep,tazutauspadahretrolakhuragnepnakutneneM1.3

asamnahacemepmalad .hal

2.3 nadakimanidomretsesorpiagabrebadaplaedisagmumunaamasrepnaksalejneM

.aynnaparenep

3.3 nisemadapakimanidomretsesorpnagnednatiakrebgnaysisifnarasebnakutneneM

.rolak


3 1. rolaKnaduhuS.10 KFRC

37321208001dT suiclec=C

rumaer=R

00108108001riA tiehnerhaf=F

tk vlekmaladuhus= ni

3722300bT t c maladuhus= suislec

9:4:5=F:R:C

tK t= C 372+

:hotnoC

YX

bT - 002:051=Y:X0402

4:3=

?06

3

402+06( =04+)

042031dT

uhusnakkiane

tazlamrettafiS )sanap(rolakirebid )naruku(isnemidnahaburep

dujuwnahabu


42/106

14

20 . .gnajnapiauM gnajnapnahaburep=L

gnajnapiaumneisifeok=

.oL=L . alumgnajnap=oLt - alumuhusnahaburep=t

+1(oL=tL . ttaasgnajnap=tL)t osaulnahaburep=A

alumsaul=oA - alum

30 . .sauliauM sauliaumneisifeok=

emulovnahaburep=V

.oA=A . lawaemuloV=oVt emuloviaumneisifeok=

+1(oA=tA . )t

40 . .emuloviauM

.oV=V . t

.+1(oV=tV . )t

2= } rolak=Q=

3= =m assam

sinejrolak=c

uhusnahaburep=t

50 . .c.m=Q t uhusnatabmarep=H

60 . .H=Q t

70 . c.m=H

80 . T.kcalBsazA 1

Q sapelid

Q sapelid Q= amiretid

TA

Q amiretid

T2

netalroalaK.90 rubelrolak=lKlK.m=QrubelrolaK

paurolak=uKuK.m=QpaurolaK


43/106

24

90 . .rolaknatabmareP

noKiskudnoK iskev isaidaR

=H l

tAk ...A.h=H t .e=I T. 4

saul=A

iskudnokneisifeok=k

nahabgnajnap=l

iskefnokneisifeok=h

satisnetnI=I

nahabsativitime=e

namztloBatnatsnok=

uhus=T

2.3 T saGkiteniKiroe

G laedIsa1. lekitrapsatairidretlaedisaG - mota(lekitrap - lukelomnupuatamota - rasebgnayhalmujmalad)lukelom

.ilakes

2. lekitraP - gnarabes/modnarharanagnedkaregrebasaitnanestubesretlekitrap .

3. lekitraP - .licekgnaygnaurmaladataremtubesretlekitrap

4. lekitraparatnakaraJ - lekitrapnarukuiradrasebhibelhuajlekitrap - tapadlekitrapnatrukuaggnihes,lekitrap

.nakiabaid

5. ebalibilaucek,nialgnaynagnedutasgnaylekitraparatnaayagadakadiT .nakubmutr

6. lekitrap,anrupmesgnitnelaracesidajretgnidnidnagnedlekitraparatnanupuatalekitraparatnanakubmuT

.ragetnadnicilpaggnaidgnidnid,sarekgnaylicekalobiagabespaggnaid

7. mukuH - .ukalrebkareggnatnetnotweNmukuh

10 . n NN

0

20 .v

=sarm

Tk3

.30 mM

N nad k

R

N

0

v.40=sar

3 TR

M

:nakataynidtapadaynnatapeceksagmacam2kutnu,amasgnayuhusadaP.50

vsar 1 :

vsar 2 =

1

1

M:

2

1

M

:naklupmisidtapadadebrebuhusnuman,amasgnaysagadaP.60

vsar 1 :

vsar 2 = T1 : T2

.70sarV

Lt

2


44/106

34

.80 FN m V sar

L

3

2

.

.90

V

sarVmNP

2

.3

uata sarVP 23

1

.01 PN

Vm sarN

kEV V

2

3

2

312

2. .

T.K=V.P.11 uata T.k.N=V.P

01x83,1=namtloBatnatsnoK=k - 32 /eluoj 0K

TRn=V.P.21 nagned nN

N

0

R .lom/eluoj713,8= 0K

01x713,8= 7 lom/gre 0K

lom/irolak789,1= 0 K

lom/mta.retil50280,0=0

K

.31 PR

rMT uata

P R T

rM

.uata

P rM

R TT

.

.

.41

2

22

1

11 ..

T

VP

T

VP

mukuHnagnedtubesidgniresininaamasreP elyoB - cassuLyaG .

.51 TkNkE .2

3

isagnanaket=P laed

saglekitrapkaynab=N

saglekitrep1assam=m

sagemulov=V

saglekitrapnatapecek=v

saglomhalmuj=n

ordagovAnagnalib=oN

mumusagnapatet=R

fitalermotaassam=M

namztlobnapatet=k

citenikigrene=kE

v sar edisaglekitrapnatapecek= la

laedisagsinejassam=

uhus=T

akimanidomreTmukuH3.3

c.10 p - c v R=

c p .natsnoknanaketadaplaedisag)sinejrolak(sinejsanapsatisapak=

cv .natsnokemulovadaplaedisag)sinejrolak(sinejsanapsatisapak=


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44

sanap.20 :tukirebiagabes,gnadesuhusadaplaedisagsinej

:awhabhelorepid)kimotaonom(laggnutmotarebsagkutnU.a

Pc R5

2

Vc R3

2 P

V

cc

1 76,

:awhabhelorepid)kimotaid(audmotarebsagkutnU.b

Pc R7

2

Vc R5

2 P

V

cc

1 4,

.ecalpaLatnatsnok=

.p=W:raularadupadahretsaghelonakukalidgnayahasU.30 V

:haladalaedIsagutausmaladigrenE.40 U n R T 3

2. .

H.50 muku TI akimanidomre

=Q +U W metsisraulek/kusamgnayrolak=Q maladigrenenahaburep=U .raulahasU=W

P sesor - adapsesorp H akimanidomreTImuku

1. .kirabosIsesorPkutnuakimanidomretImukuH.patetnanaketnagnednaksanapidsaginisesorpadaP

.)rabmagtahil(

naksanapidhadusesnaksanapidmulebes

sesorpadapnaikimednagneD elyoBnaamasrepukalrebini - cassuLyaG

V

T

V

T

1

1

2

2

:tukirebiagabeskifargtapadakamVnadPnagnubuhmaladnakrabmagidinikifargakiJ

nanignidnePnasanameP

=W Q - c(m=U p - cv T() 2 - T 1 )

2. )kimulovosI(kirohkosIsesorPkutnuakimanidomreTImukuH

)rabmagtahil(.natsnokmetsiSemulovinisesorpadaP


46/106

54

haduseS.naksanapidmulebeS .naksanapid

elyoBmukuHukalrebinisesorpmaladnaikimednagneD - :kutnebmaladcassuLyaG

P

T

P

T

1

1

2

2

:tukirebiagabesaynkifargakamVnadPnagnubuhkifargmaladnakrabmagidakiJ

nasanameP nanignidneP

0=V -------

)sesorpamalesraulahasuadakadit(0=W U=Q 2 - U1 =Q U c.m=U v T( 2 - T 1 )

ImukuH.3 .kimrehtosIsesorpkutnuakimanidomret

.natsnokaynuhussesorpamaleS

)rabmagtahil(

.naksanapidhaduseS.naksanapidmulebeS

.ELYOBmukuHukalrebakam,patetaynuhusanerakhelO

P 1 V2 P= 2 V2

nagnubuhkifargnakrabmagidakiJ :apurebaynkifargakamVnadP

nanignidnePnasanameP

T2 T= 1 -------------- > )lonaynmaladahasU(0=U

W P VV

VP V

V

V 1 12

1

2 22

1

( nl ) ( nl )

W P VP

PP V

P

P 1 1

1

2

2 2

1

2

( nl ) ( nl )

W n R T V

Vn R T

V

V 1

2

1

2

2

1

( nl ) ( nl )

W n R T P

Pn R T

P

P 1

1

2

2

1

2

( nl ) ( nl )

xgol303,2=xnl


47/106

64

kitabaidAsesorpkutnuakimanidomreTImukuH.4 .

0=Qidajmetsisraulek/kusamgnaysanapadakatsesorpamaleS

)rabmagtahil(

sesorpmulebeS sesorprihka/amaleS

ukalrebakammetsisraulek/kusamgnaysanapadakaditanerakhelo elyoBmukuH - yaG cassuL

PV

T

PV

T

1 1

1

2 2

2

:apurebakamVnadPnagnubuhkifargmaladnakrabmagidakiJ

natapmamePnagnabmegneP

0=Q ------ =O +U WU2 -U1 = - W

T1 1V.-1

T= 2 V. 2-1

c.m=W v T( 1 - T2 =Wuata)P V1 1

1

.

V( 2

-1- 1V

-1)

P1 1V.

P= 2 V. 2

AKIMANIDOMRETIIMUKUH.60

igrenE gnay taafnamreb

igrenE gnay nakkusamid

W

Q

Q Q

Q2

2 1

2

( )1 %0011

2

Q

Q

onracnisemisneisiffekutnutonraCturuneM alupukalrebt :

( )1 %00112

T

T

uhus=T

isneisife=

nanaket=P

emulov=V

ahasu=W


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74

laoS - 3isnetepmoKnahitaLlaos

1. 0uhusadapmassamrebAmagoL 0 001uhusadapm2assamrebgnayBnariacmaladeknakkusamidC o .CjrolaknagnidnabrepakiJ narupmacrihkauhusakam,1:8haladaBnariacsinejrolakpadahretAmagolsine....haladagnabmiestaas

A. 02 oC

B. 52o

CC. 05 oCD. 57 oCE. 08 oC

2. 001sanapriA o 0aynuhusgnayriamarg003adapnakhabmatidC o 04uhusiapacnemutinarupmaciapmasCo .C ....haladanakhabmatidgnaysanaprianuminimassaM

A. marg05B. marg06C. marg57D. marg021E. marg002

3. 01PedoK8002NU uhusnagnedg08assamrebsehakgnobeS 01 o g/lak5,0sinejrolak(C o )g/lak08aynrubelrolaknadC

sirebanajebmaladeknakkusamid 08uhusrebg001aynassamgnayriai o pareynemkaditanajebpaggna(C....haladarolaknagnabmiesekidajrethaletesriarihkauhuS.)rolak

A. 5,4o

CB. 7,6 oCC. 5,7 oCD. 0,8 oCE. 6,9 oC

4. 74PedoK8002NU 0uhusrebg001assamrebsE o sirebanajebmaladeknakkusamidC mc08riai 3 001uhusreb o anajebakiJ.C

g/lak1=riasinejrolak(....haladaayngnabmitesuhusakam,rolakpareynemkadit o =08serubelrolak,Cmc/g1=riasinejassam,g/lak 3 .)

A. 0 oCB. 52,1 oCC. 9 oCD. 3,21 oCE. 76 oC

5. akgnayretemirolakhaubeS 5,21aynuhusgnayriamarg521isirebK/J511aynsatisapo

riamarg05aliB.C55uhusnagned o samidC .haladautinarupmacrihkauhus,retemirolakmaladnakku =riasinejrolak()Kgk/J002.4

A. 12 oCB. 22 oCC. 32 oCD. 42 oCE. 52 oC

6. nadAsinejesmagolgnatabauD .3:4gnidnabrebayngnajnapnakgnades1:2gnidnabrebayngnapmanepBgnujuadapuhusadebaliB - Aadaputkawnautaspaitrolaknatabmarhalmujakam,amasgnatabaudekgnuju

:gnidnabrebBnadA. 3:2B. 2:3C. 3:8D. 8:3

E. 1:1

7. 01PedoK8002NU dPgnatabauD KsativitkudnokatnatsnoknagnedsinejesQna P K= Q !rabmagitrepesnarukuiaynupmem

L

A2

A2=gnapmanepsauL)PgnataB(

A=gnapmanepsauL)QgnataB(

L

A


49/106

84

Padaputkawnautasreprotkudnokrolakhalmujitrareb,amasQnadPgnatabgnujuaudekuhusadebaliB....gnidnabrebQnad

A. 1:1B. 3:2C. 2:3D. 8:3E. 3:8

8. abauD gnujuuhusnagnednakgnubmasidQnadPmagolgnat - !)rabmagtahil(adebrebayngnuju

uhusakam,BC2=CAatres,QmagolsativitkudnokneisifeokilakPmagolsativitkudnokneisifeokalibapA.haladaCid

A. 53 CB. 04 CC. 45 CD. 07 CE. 08 C

9. 74PedoK8002NU

.nagnipmadrebaynkatelnadamasaynsaulgnayBnadAgnidnidnaksikulemrabmaG

....haladasatabgnadibadapuhuSA. 5,87 oCB. 5,26 oCC. 05 oCD. 54 oCE. 23 oC

01 . aubeshelonakracnapidgnayrolakujalnagnidnabreP ....haladaK0002nadK0004uhusrebmatihadnebhA. 1:1B. 1:2C. 1:4D. 1:8E. 1:61

11 . 0=t(lamronnaadaekadaP o Maynlukelomtareb(marg4assamrebnegiskosag,)mta1=PnadC r naka23=.rasebesemulovikilimem lomk/J4138=R( o 01=mta1nadK 5 m/N 2)

A. 01x4,1 6 m3B. 01x4,22 3 m3C. m4,22 3D. 01x8,2 3 m3 E. m8,2 3

AgnidniD BgnidniD

mc5,2 mc5

KA 1,0=mc.lak( - o1 C-1 s. -1

KB 2,0=mc.lak( - o1 C-1 s. -1

001=to

C 52=to

C

gnadiB satab

A C B

011 oC 04 oC

P Q


50/106

94

21 . 01PedoK8002NU 72uhusadapnogrAsaG o 01=mta1(mta1nanaketnadretil3emulovreb,C 5 akiJ.gnubatmaladadareb)aP

mJ413,8=)R(mumusagatnatsnok 1 K1 aynkaynabnad N(saglom1maladlekitrap 0 01x20,6=) 32 .haladagnubatmaladlekitrapaynkaynabakam,lekitrap

A. 01x3,8 22 lekitrapB. 01x2,7 22 lekitrapC. 01x2,4 22 lekitrap

D. 01x2,2 22 lekitrapE. 01x2,1 22 lekitrap

31 . 74PedoK8002NU maladidnogrAsaglekitrapaynkaynaB 72uhusadapgnubat o 01=mta1(mta1nanaketnadC 5 2,7halada)aP

01x 22 mJ413,8=)R(mumusagatnatsnokakiJ.lekitrap 1 K1 N(saglom1maladlekitrapaynkaynabnad 0 )01x20,6= 32 .haladagnubatmaladnogrAsagemulovakam,lekitrap

A. 1,389.2 retilB. retil13,892C. retil38,92D. retil89,2E. retil3,0

41 . 24uhusrebpututretgnaurmaladsaG o 78iapmasnaksanapidsagakiJ.mta7nanaketrebnadC o ataynretC.mta1rasebeskianaynnanaket darihkaemulovnagnedlawaemulovnagnidnabreP .hala

A. 1:1

B. 2:1C. 1:2D. 5:4E. 4:5

51 . 72uhusadapnegiskosaG o 01nanaketiaynupmemC 5 naktapmamidsagakiJ.retil52emulovnadmta001habmatrebaynuhusnadretil5gnarukrebaynemulovaggnihes o .idajnemnegiskosagnanaketakam,C

A.3

501x 4 mta

B. 6 01x 5 mta

C.3

501x 5 mta

D. 6 01x 6 mta

E. 35 01x 6 mta

61 . 01PedoK8002NU

sumuridgnubatgnidnidpadahretpututretgnaurmaladidlaedisagnanakeT :nak kEV3

N2P nanaket=P[;

atarkitenikigrene=kEnad;sagemulov=V;sag)lekitrap(lukelomhalmuj=N;)aP( - .])J(lukelomatar

....haladasataidnasumurtiakretranebgnaynaataynrePA. amujadapgnutnagretgnidnidpadahretsagnanaket emulovnautasreplukelomhB. gnidnidpadahretlukelomnaklubmitidgnaynanaketadapgnutnagretkaditsagkitenikigreneC. haburebsagnanaketakijhaburebkaditgnubatmaladsagemulovD. habmatrebnakalukelomkitenikigreneakamgnarukrebsaglukelomhalmujE. lov habmatrebsaglukelomhalmujakamhabmatrebsagemu

71 . 74PedoK8002NU

:iagabesnaksumuridgnubatmaladlaedisaguhuS kEk3

2T igrene=kEnadkaltumuhusnakataynemT,

atarkitenik - .saglukelomatar

....sataidnaamasrepnakrasadreBA. ames liceknikamaynkitenikigrene,saguhusiggnitnikB. tabmalnikamessaglekitrapkareg,saguhusiggnirnikamesC. tapecnikamessaglekitrapkareg,saguhusiggnitnikamesD. sagkitenikigrenenagnedkilabretgnidnabrebsaguhusE. karegihuragnepmemkaditsaguhus saglekitrap


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05

81 . rotcafnakapureminihawabidnaataynreP - :laedisagkitenikigrenenagnednagnubuhrebgnayrotkaf1. aynkaltumuhusrakanagnedgnidnabessagnatapeceK2. sagassamrakanagnedgnidnabessagnatapeceK3. tumuhusnagnedgnidnabessagcitenikigrenE aynkal4. sagassamnagnedkilabretgnidnabrebsagcitenikigrenE

.haladaranebgnaynaataynreP

A. 2nad1B. 3nad1C. 3nad2D. 4nad2E. 4nad3

91 . 72aynuhustaasadapUmaladigreneikilimemlaedisagutauS o 721idajnemnakkianidsaguhusakij,C o ,Casebakam ....haladasagmaladigrenenakianekr

A.2

3U

B.4

3U

C.8

3U

D. 32

U

E.3

1U

02 . alupamasaynassamnaduhusgnayaraduisirebamasaynemulovBnadAanajebauD AanajebmaladaradU..patetemulovnagnednaksanapidBanajebadapnakgnades,patetnanaketadapnaksanapid halmujakiJ

....awhabnaklupmisidtapadakam,amashaladaBnadAanajebadapnakirebidgnayrolakA. amasBnadAidaraduuhusnakianekB. nahaburep amasBnadAidmaladigreneC. BidadapiradlicekhibelAiduhusnakianekD. BidadapiradrasebhibelAiduhusnakianekE. uhusnakianekidajretkaditBnadAanajebadap

12 . isag)V(emulovpadahret)p(nanaketaratnanagnubuhkifarghaladatukirebrabmaG laedisaG.laed....haladasagnakukalidgnayahasuaynraseB.)2(naadaekek)1(naadaekiradsesorpinalajnem

A. 01x57,1 5 eluojB. 01x00,2 5 eluojC. 01x00,3 5 eluojD. 01x57,4 5 eluojE. 01x00,6 5 eluoj

01(p 5 m/N 2)

m(V3

)5,1 5,4

)1( )2(2


52/106

15

22 . 01PedoK8002NU raCnisemhaubeS .rabmagitrepesisakifisepsikilimemton

....haladatonraCnisemnaklisahidgnay)W(ahasU

A. 1Q3

5

B. 2Q2

5

C. 1Q5

3

D. 2Q5

2

E. 1Q5

2

32 . margaidhaladainihawabiD gnisamakiJ.tonraCnisemhalmujessura - pareynemtonraCnisemgnisam....haladarasebgnilap)W(ahasunakukalemgnaytonraCnisemakam,amasgnayrolakhalmujes

A. .D

B. .E

C.

T1 K003=

Q1

Q2

T2 K002=

W

T1 K006=

Q1

Q2

T2 K005=

W

T1 K004=

Q1

Q2

T2 K003=

W

T1 K007=

Q1

Q2

T2 K005=

W

T1 K005=

Q1

Q2

T2 04= K0

W

T1 722= oCQ1

Q2T2 72= oC

W


53/106

25

42 . 74PedoK8002NU PkifargnakitahreP .rabmagitrepestonraCnisemkutnuV

.haladaahasuidajnemhabuidgnaysanapaynkaynabakam,%75isneisifeikilimemnisemakiJ ...A. Q75,0 1

B. Q73,0 1C. Q23,0 1D. Q72,0 1E. Q12,0 1

52 . kutnU.%02isneisifeiaynupmem,K008iggnituhusriovresernakanuggnemgnaytonraCnisemhaubeS....idajnemnakkianidiggnituhusriovreseruhusakam,%63idajnemisneisifenakkianem

A. K829B. K0001C. 611 K0D. K0021E. K0831

Pa

Pb

Pd

Pc

Va Vd Vb Vc

a

b

c

d

T1

T2

Q1

Q2


54/106

35

4ISNETEPMOK

:4isnetepmoK maladiynubnadkitpo,gnabmolegpisnirpnadpesnoksisilanagneM

.igolonketkudorpnadhalasamnaiaseleynepiagabreb

iricnakutneneM1.4 - .gnabmolegadapsisifnarasebnadiric

.4 aynayahabuatataafnamatrestengamortkelegnabmolegsinejiagabrebnaksalejneM2

irahesnapudihekmalad - .irah

narasebnakutneneM3.4 - poksorkimadapnatamagnepnagnedtiakretgnaysisifnaraseb

.gnoporetuata

4.4 narasebnakutneneM - naraseb .iskarfidnadisnerefretniawitsirepadapsisif

5.4 narasebnakutneneM - .relppoDkefeawitsirepnagnednatiakrebgnaysisifnaraseb

6.4 .adebrebgnayisidnokiagabrebadapiynubsatisnetnifaratuatasatisnetninakutneneM


ateG1.4 nar

sagepatnatsnok=k

.1 tareb=W

=x sagepgnajnapnahaburep

sagepayag=F

nagnapmis=y

.2 laisnetopigrene=pE

kinakemigrene=kemE

kitenikigrene=kE

.3 odutilpma=A

utkaw=t

tudusnatapecek=

.4 assam=m

edoirep=T

atnatsnok=k

.5 gnajnap=l

isneukerf=f

gnabmoleggnajnap=alumgnajnap=oL - alum

.6 gnajnapnahaburep=L

ekrasadadan=n

ragnednepnatapecek=pV

iynubrebmusnatapecek=sV

.7 ayad=P

R1 1karaj=

R2 2karaj=

.8

k =x

w

=F - y.k

yk=pE 2

Ak=kemE2

A(k=kE 2-y2)

=vm

yAk )( 22

2mk

tAy nis


55/106

45

.9

.01

.11

.21

.31

41 . 2

k

mT

51 . 2g

lT

gnabmoleG1.4

kinakem .leg.legiskelfer

lasrevsnartlanidutignoliskarfer

isnerefretni 1

gnabmoleG iskarfedisasiralop

1 .leg

1. tvfv

.2

.3

.4

tAv soc

tAa nis2

tAmkE 22221 soc

tAmpE 22221 nis

222

1 AmkemE

kitengamortkele

y =nalajreb.leg

x

T

tA 2nis

y maid sabebgnuju 0

L

T

txAy 2nis2soc2

y maid takiretgnuju2

1

L

T

txAy 2soc2nis2


56/106

55

.5

.6

.7

3.4 O irtemoeGakitp

ranisaynada:sedilcuEnadotalP - .tahilgnepranis

adnebtahilemiroeT sgnatneneM:seletotsirA rani - .tahilgnepranis

adnebnalutnapuatanaracnaP:nasaHlA

ayahacrebmuSisimEiroeT:notweNkaasIriS

nakrulaynem

.iggnitnatapecekrebnagnirnadlicekgnaylekitraP

adapayahac:malaretEiroeT:snegyuHnaitsirhC

aynrasad

.muidemnakulrememtabmarem,iynubnagnedamaS

tapadayahaC:llenserFenitsuguAnadgnuoYsamohT

isnerefretnirebnadrutnel

LnaeJ tazidayahactabmartapeC:tluacuoFnoe riac

.araduidadapiradlicekhibel

AYAHACIROET .kitengamortkelegnabmolegayahaC:llewxaMkrelCsemaJ

lasrevsnartgnabmiolegayahaC:ztreHhploduRhcirnieH

.isasiralopimalagneManerak

tengamnademihuragnepidtapadayahaC:nameeZreteiP

.taukgnay

ennahoJ kirtsilnademihuragnepidtapadayahaC:kratSs

.taukgnay

.adakaditmalaretE:yelroMnadnoslehciM

oeT:kcnalPgiwduLtsenrElraKxaM .ayahacmutnawkir

esayahaC.ayahacemsilaudiroeT:nietsniEtreblA -

gnabmolegtafisrebnadlekitrapiagab

.kitengamortkelegnabmolegnakapureM

aynnatabmarepmaladmuidemnakulrememkadiT

mFv

Ev

E gnuoysuludom=

LA

oLFPE

oLL

AF

niarts

sserts

v =sag

P

=M

TR

vC

pC


57/106

65

aladtabmareM surulsiragm

01.3mukavmaladidrasebretnatapeceKAYAHACTAFIS 8 s/m

idnatapecekiradlicekhibelmuidemmaladnatapeceK

.mukav

nagretkadittulosbahaladamukavmaladidnatapeceK -

.tamagnepadapgnutP ayahaCnalutname

.10'

111

ssf

=M.20 -s

s '/=h

h '/

C.30 =R:ratadnimre kaget,rasebamas,ayam:nagnayabtafis

=n

063- 1

s=dnagnubagnimrec.40 1 s+ 2

M latot M= 1 M. 2

kecnimreC gnaur4lanegneMfitisop=R:gnu rasebrepid,kaget,ayaM:IgnauRidadneb:nagnayabtafiS

id,kilabret,atayN:IIgnauRidadneB rasebrep licekrepid,kilabret,atayN:IIIgnauRidadneB

licekrepid,kaget,ayaM:nagnayabtafisfitagen=R:gnubmecnimreC

.ISKARFER/NASAIBMEP

nsaibskednI.10 eb adn =

m

u

m

v

c

n adneb 1>

n2muidempdht1muidemfitalern 21 =

1

2

1

2

2

1

v

v

n

n

rnisn=inisnratadgninebadneb.20

sn)1(lelarapnalpacak.30 )rirac(rnisn=ini

(2) =t )(nissoc

rir

d

.40 amsirP )isaived( inisn)1(mumu 1 rnisn= 1 rirac( 1) )2( r= 1 i+ 2 iirac( 2)

inisn)3( 2 rnisn= 2 rirac( 2)

)4( i= 1 r+ 2-

i:taraysmuminim 1 r= 2

01> o (nis nim + =) 2

1nis

'

n

n

01=> o nim = )1('

n

n

.gnukgnelnaakumreP.50R

nn

s

n

s

n

'

'

'


58/106

75

)1(labetasneL.60

1

'

'

1

'

1 R

nn

s

n

s

n

s=d)2( 1 s+ 2

)3(

2

'

'

22

'

R

nn

s

n

s

n

sipitasneL.70 )11

()1(1

21

'

RRn

n

f

21

111

fff bag

gnubmeC - R)skevnokib(gnubmec 1 R,+ 2 -

rataD Rgnubmec 1 kat= R,aggnih 2 -

gnukeC Rgnubmec 1- R, 2 -

gnukeC - R)faaknokib(gnukec 1 - R, 2 +

rataD Rgnukec 1 R,aggnihkat= 2 +

gnubmeC Rgnukec 1 R,+ 2 +

)fitisop(negrevnoKasneL.9'

111

ssf

=M)fitagen(negrevid - s

s '

/= h

h '

/

=P)P(asnelnataukeK.01f

1retemmaladf

=P f

001mcmaladf

iraj=R)ratadnimreckutnu(nagnayabkaynab=n - gnukgnelgnadibiraj

nimrecaudekaratnatudus= ayahacgnabmoleggnajnap= sucofkaraj=f asnelnataukek=P nimrecekadnebkaraj=s

nimreceknagnayabkaraj=s adnebiggnit=h

nagnayabiggnit=h nagnayabnarasebrep=m

gnatadtudus=i lutnaptudus=r saibskedni=n acaklabet=d naresegrep=t ranis

saibmeptudus= isaived=


59/106

85

4.4 O sisiFakitp

nakiaruidtapadgnayraniS kitamorkiloP

nakiaruidtapadkatgnayraniSAYAHAC kitamorkonoM

apmahgnaurmalaD rasebamastabmartapec

adebanrawgnisamisnewkerfgnabmoleggnajnap adebanrawgnisam

(hareM )rasebretvnadaggniJ

gninuK

uajiH)ANRAWNAIARUREP(ISREPSID

uriB

aliN

,n(ugnU Enadf, notof )rasebret

gninebadneB r/=r m ru/

lelarapnalP t/=t m tu/

amsirP = u - m

asneL s/=s m s u/ f/=f m fu/

kitamorkAamsirP:ISREPSIDNAKADAINEM

n( u n m) n(= u nm )

.kitamorkAasneL

ugnubagharembag ff

11

)11

()1()11

()1(21

'

21 RRn

n

RRn

n mm )11

()1()11

()1(21

'

21 RRn

n

RRn

n uu

anoreKatnilFanoreKatnilF

SURULGNADNAPAMSIRP n( h ))1 n(= h ))1


60/106

95

xaM 2

1)2(

.k

dp

llenserFnimreC

niM 2

1)12(

. k

dp

xaM 2

1)2(

.k

dp

gnuoYnaabocreP

niM 2

1)12(

. k

dp

ISNEREFRETNI

)nerehoK:tarayS(

,f,A( )amasrxaM k2 k2(R= - )1

notweNnicniC

)tasupgbspaleg( rniM k2 )k2(R=

k2(=rsocdn2xaM - )1 sipittupaleS

)k2(=rsocdn2niM

nisdxaM )1+k2(= laggnuthaleC

nisniM )k2(=

ISKARFID

nisdxaM )k2(= isiK

nisdniM k2(= )1

....3,2,1=k

22,1=d)d(iarUayaDD

L.rayalekkaraj=L

asnelretemaid=D

nasipallabet=dsaibskedni=n saibtudus=risaived=

rsaibmeptudus= k iraj= - kekgnaretnicniciraj

gnabmoleggnajnap= iraj=Rayahac - asneliraj

tasupiradgnaretkaraj=p isaived/iskarfidtudus=

sukof=fpaleg/gnaretsiragedro=k


61/106

06

5.4 talA - kitpOtala

)lamronatam(iportemEataM =rp;mc52=pp

pp)takednubar(iportemrepiHataMATAM

m(ipoibserPataM pp)autata

)ipoyMgnarokutnU(fitageNasnelataMacaK

=s =snad - rp

ATAMACAK

lataMacaK )iportemrepihgnarokutnU(fitisoPasne

=snadmc52=s - pp

xamisadomokA =P 1fdS

epmetiD atamidl

isadomokAapnaT =Pf

dS

EPUOL

=DatamiradmcdkarajreB - isadomokaayad=Dd+s

=PfD

ddS

D

dS

f

dS

.

.

lamronacabkitit=dS s=d ybo s+ ko

misadomokA xa

=P )1('

kof

dS

s

s

ybo

ybo

POKSORKIM fitkeyboasnelkaraj=d - reluko

s=disadamokAapnaT ybo f+ ko

=P )('

kof

dS

s

s

ybo

ybo

kos+ybof=dxamisadomokA

=P )(dS

fdS

f

fko

ko

ybo

GNATNIBGNOPORET

kof+ybof=disadomokaapnaT

=P

ko

ybo

f

f


62/106

16

atamhuajkitit=pP

atamtakedkitit=pP

nagnayabkaraj=s

pulekadnebkaraj=s

asnelnataukek=P

relukoasnelnagnedfitkeyboasnelkaraj=d

4.6Bun iylanidutignoLgnabmoleG

adan )cinosartlU(zH000.02> odutilpmAgnutnagrethamel/sarek

iynuB zH02 zH000.02

hased )cinosarfnI(zH02< isneukerFgnutnagrethadner/iggnit

adaN rebmuS

1. iawaD

DN

2 akubreTanagrOapiP

.3 pututreTanagrOapiP

:tafiS

)nalutnameP(iskelfeR

isnanoseR

naabocreP(isnerefretnI )ekniuQ

taukrepmem n

hamelrepmem 2

11n

)taeb(nagnayaleP taeB

sn

Pn

2

1

v

L

nfn

2

1

snPn

1

2

v

L

nfn

2

1

sn

Pn11

v

Lnfn4

12

2

. pptvd

nl = 4112 n

=nagnayalf BA ff


63/106

26

relppoDkefE

satisnetnI

(satisnetnIfaraT IT)

2m

ttaW21

0 01I

Bd

gnabmoleG7.4 E kitengamortkelelEgnabmoleG tengamnademnadkirtsilnademnahaburepnatabmaR:tengamortk

tengamnademnahabureprotkevsurulkagetkirtsilnademnahabureprotkeV

iriC - :MEGiric

amep:alajegnakkujnuneM isasiralop,iskarfidnasaibmep,nalutn

.rotalosihelonaksuretidnadrotkudnokheloparesid

tsilnademnaklisahgnemkirtsilnatauM:bmoluoC taukgnaykir

tengamnademadakirtsilsuraratikesiD:detsreO

kirtsilnademnaklubminemnakatengamnademnahabureP:yadaraF

IROET ayagtapadrettengamnademmaladkirtsilsurarebtawak:ztneroL,tengamnademnaklubminemkirtsilnademnahabureP:llewxaM

aayahaG tengamortkelegnabmoleghalad

tengamnademnaklisahgnemkirtsil)sura(nataumnarilA:travaStoiB

gnabmolegkaregiagabesayahaC:snegyuH

atarigrene/MEGsatisnetnI)S( - :saulnautasrepatar

).(nis.. 2

0

00txk

BES

0

00.xam

BES

cES ..2

1 200

00.

1

c

0

20

..2 c

ES

s

s

PP f

vv

vvf

24 R

P

A

PI

2

2

2

1

21

1:

1:

RRII

0

gol01I

IIT


64/106

36

:rolaKisaidaR

adnebiradisaidaR - isanapidgnayadneb

kaltummatihadnebhaladaisaidarhurulespareynemtapadgnaY

- ebaynlekitrap:iskudnoK rategr tadaptaz- hadnipreblukelom:iskevnoK sagnadriactaz- .aratnareptazapnat:isaidaR

:)ayngnabmoleggnajnapnurutnaturu(aynisnewkerfkiannaturU:MEGmurtkepS

marfnI.leg,VTnadradarleg,oidaR.leg ,ugnuartluranis,kapmatayahac,hare

.ammagranis,Xranis

4.. TeA

wI

:sativitime=e 1=e:kaltummatih

0=e:hitup

01.276,5=namztloBatnatsnok= -8 m/ttaw 2 K

T

c neiWnapatet=c 01.898,2= -3m K

natapecek=vayahacnatapecek=c

kaltumuhus=T

gnabmoleggnajnap=

sativisime=e

naakumrepsaul=A

satisnetni=S

_

atarsatisnetnI=S - atar

laoS - 4isnetepmoKnahitaLlaos

1. :tukirebnaataynrepnakitahreP(1) abmarem apmahgnaurmaladt(2) amashaladamuidempaitesadapnaujalek(3) lasrevnartgnabmolegnakapurem(4) aynnatabmarepkutnumuidemnakulremem

tafisnakapuremgnaY - ....romonhaladakitengamortkelegnabmolegtafisA. )3(nad,)2(,)1(B. )4(nad,)3(,)1(C. )3(nad)1(D. nad)2( )4(E. )4(nad)1(

2. licekisneukerfekrasebisneukerfisairavkutnuranebgnaykitengamortkelegnabmolegmurtcepsnaturU....halada

A. radargnabmoleg,haremarfniranis,uajihayahac,uribayahacB. .ammagranis,Xranis,uribayahac,uajihayahacC. remarfniraniS .uribayahac,uajihayahac,teloivartluranis,haD. .oidargnabmoleg,uribayahac,uajihayahac,radargnabmoleGE. .uajihayahac,uribayhac,ammagranis,XraniS

3. 01PedoK8002NU nabmoleggnajnapiradkitengamortkelegnabmolegmurtkepsnusuynemawsisgnaroeS (g iagabesrasebret)

:tukirebi)1( kapmatayahac)4(>isaiveletgnabmoleg)3(>teloivartlu)2(>haremarfn

.aynsurahesranebgnaymurtkepsnaturUA. )2(>)3(>)4(>)1(B. )2(>)4(>)1(>)3(


65/106

46

C. )4(>)1(>)2(>)3(D. )1(>)4(>)2(>)3(E. 2(>)1(>)1( )3(>)

4. 74PedoK8002NU rugnemawsisgnaroeS iagabeslicekretekrasebnotofigreneiradkitengamortkelegnabmolegmurtkepsnaktu

:tukireb

i. kapmatayahaCii . haremarfnIiii . isiveleT

vi . ammagraniSnanusuS ranebgnaymurtkeps .haladaaynsurahes

A. 3(>)2(>)1(>)4( )B. )2(>)3(>)1(>)4(C. )3(>)1(>)4(>)2(D. )3(>)4(>)2(>)1(E. )4(>)3(>)2(>)1(

5. utkawgnaleS.radarlaynisnakanuggnemnagnedsapeltualnamaladekrukugnemhajalejneplapakhaubeSadarotketedheloilabmekamiretidaggnihnakracnapidlaynistaas 8hal akam,3/4tualriasaibkedniakiJ.s

.haladatubesretsapeltualnamaladekA. retem003B. retem009

C. retem002.1D. retem005.1E. retem006.1

6. nagnapmisnaamasrepikilimemiawadsatuesadaptabaremgnaygnabmoleghaubeS

03

x

10,0

t2nis2y gnabmolegtabmartapecakam,nokesmaladtnadmcmaladynadxnagned

.haladatubesretA. s/m51B. s/m02C. s/m52D. s/m03E. s/m05

7. nadnokes1edoirepnagneds/mc01natapeceknagnednanakektabmaremilatadapgnabmolegutauS

,0=ttaasadaP.mc5odutilpma akam,sataekamatrepaynnarategharaakiJ.lonlasakititidnagnapmis :haladanokes4/5rategrebhaletlasakititnadlasakititnanakidmc5adarebgnayPkititnagnapmisA. mc0B. 5,2 mc3C. mc5D. mc5E. 5,2 mc3

8. 01PedoK8002NU .inihawabidmargaidihunememanajebmaladrianaakumrepadapnalajrebgnabmoleG

aamasrepihunememPkititnagnapmisakam,nokes2,0utkawgnalesmaladhupmetidmc04=BAkaraJ .n

A. mc4

xt501soc8YP

B. mc4

xt501nis8YP

tabmarharA

mc8 A B

0

P YP

XPriA


66/106

56

C. mc02

xt502nis4YP

D. mc002

xt02nis4YP

E. mc002

xt02nis4YP

9. naamasrepnagnednalajrebgnabmoleghaubeS y nis20,0= )x+t05( gnabmolegnaamasrepiraD.m:akamtubesret

(1) nabmolegisneukerf zH52g(2) m2gnabmoleggnajnap(3) s/m05gnabmolegtabmartapec(4) esafesm05karajrebgnaykititaud

.haladaranebgnaynaataynrePA. )3(nad,)2(,)1(B. )3(nad)1(C. )4(nad)2(D. ajas)4(E. )4(nad,)3(,)2(,)1(

01 . uggnemnagnednaabocrepnakukalemawsisgnaroeS adap,zH043isneukerfrebnarategrebmusnakan!inihawabidrabmagitrepesgnabmolegnaklisahidaggnihesmc021ayngnajnapgnayilathaubes

....haladanaklisahidgnaygnabmolegtabmartapeCA. s/m201B. s/m402C. s/m603D. s/m804E. s/m215

11 . crepadaP karajakam,alumesilakaudnakidajidaynhalecaudekaratnakarajakij,)adnaghalec(gnuoynaabo....idajnemnatururebgnaypalegsiragaudaratna

A. alumesilak4B. alumesilak2C. alumesilakD. alumesilakE. patet

21 . oYnaabocrepadaP 4halecaudaratnakarajakiJ.mc001rayalnagnedhalecaratnakaraj)adnaghalec(gnu000.8tubesrethalecitawelemgnayayahacgnabmoleggnajnapnadmm amatreppalegaratnakarajakam,

.haladatasupnagnedA. mm10,0B. mm30,0C. mm01,0D. mm03,0

E. mm00,2

31 . NU 74PedoK8002 halecaudaratnakarajakiJ.mc2haladagnuoYnaabocrepadaptasupgnaretiradaudekgnaretadapkaraJ

.haladanakanugidgnayayahacgnabmoleggnajnapakam,haleciradm5adarebrayalnadmm3,0halada

A. mn004B. mn054C. mn005D. mn065E. mn006


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66

41 . arukurebisiknakanugidiskarfidisiknaabocrepmalaD .mc/sirag0002n ataynretnaabocreplisahiraD03tuduskutnebmemamilekedrognaretsiraghelorepid 0 .isiklamronsiragpadahret gnabmoleggnajnaP

....haladanakanugidgnayayahacA. mn052B. mn003C. mn005D. mn055

E. mn006

51 . 01PedoK8002NU

isikatnatsnokiaynupmemisikhaubeS .m01x4 15 tudusadapnakiskarfididaudekedrognaretnagnayaB73 o 73gt( o ayayahacgnabmoleggnajnaP.lamronpadahret)= ....haladanakanugidgn

A. x6,5 m01 7

B. x5,6 m01 7

C. x5,7 m01 7

D. x8,7 m01 7

E. x0,8 m01 7

61 . 74PedoK8002NU

adiynubsatisnetninarukugneplisahnakkujnunemhawabidlebaT .iynubrebmuspadahretutnetretkarajirkaraJ)m(

satisnetnIm/W( 2)

1234

0,8210,232,41....

....haladaiynubrebmusiradm4karajadapiynubsatisnetnisataidatadiraDA. m.W0,8 2B. m.W1,7 2C. m.W6,3 2D. m.W6,1 2E. m.W9,0 2

71 . ubsatsinetnifaraT agrahakiJ.Bd08haladam4aynrabelnadm3ayngnajnapgnaynagnaurutausadapiyn01iynubgnabma 61 mc/ttaw 2 ....haladatubesretnagnauridadagnaykitsukaayadakam,

A. 01 61 WB. 01.3,0 21 WC. 01.2,1 3 WD. 01.2,1 2 WE. 01.4 2 W

81 . edoK8002NU 01P nalibmeshabmatidakiJ.Bd05haladatamagnepiradm9karajadapiynubrebmusutaussatisnetnifaraT

idajnemtamagnepadaplatotsatisnetnifaratakam,naamasrebnakiynubidgnaykitnediiynubrebmushaub.

A. Bd5B. Bd04C. Bd06D. Bd052E. Bd005

91 . araT isem001adaakiJ.Bd05haladanisemhaubessatisnetnif ragnedretgnaysatisnetniakam,amasgnayn01=naragnednepgnabmasatisnetni(.rasebes 21 m/W 2)

A. 01 61 m/W 2B. 01 21 m/W 2C. 01 01 m/W 2D. 01 5 m/W 2E. 01 4 m/W 2

02 . nagnediynubnaklubminemtejtawasephaubeS satisnetnifaraT..m001karajadapBd041satisnetnifarat.halada,mk01karajadaptejtawasep

A. Bd021


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76

B. Bd001C. Bd08D. Bd05E. Bd04

12 . gnisampocsorkimhaubesrelukoasnelnadfifkejboasnelsukofkaraJ - nakanugid,mc5nadmc2gnisamitamagnemkutnu lamronatamrebnatamagnepakiJ.fitkejboasneliradmc5,2katelretgnaylicekadneb

.haladapoksorkimnaklisahidgnaynarasebmepakam,mumiskamisadomokareb A. ilak02B. ilak42C. ilak52D. ilak05E. ilak45

22 . 01PedoK8002NU nagnayabnakutnebmepmargaidhalitamA isadomokarebatamnagneditamaidgnaypoksorkimhelo

.rabmagitrepesmumiskam

asnelkarajakam,)isadomokaapnat(muminimisadomokarebatamnagnednakukalidnatamagnepakiJ.idajnemrelukoasnelnagnedfitkeybo

A. mc71B. mc22C. mc03D. mc23

E. 5 mc2

32 . 74PedoK8002NU :inihawabidpoksorkimhelonagnayabnakutnebmepmargaiditamA

atamnagnednakukalidnatamagnepragA isadomokareb muminim .akam,)isadomokaapnat(A. fitkeyboihuajnemmc2resegidrelukoasnelB. 2resegidrelukoasnel fitkeyboitakednemmcC. relukoitakednemmc2resegidfitkeyboasnelD. relukoihuajnemmc2resegidfitkeyboasnelE. relukoitakednemmc11resegidfitkeyboasnel

B1

B2B3F bo F bo F ko

F ko

mc2,2 mc2

mc8

mc01

fitkeybo reluko tamagneP

B1

B2B3F bo F bo F ko

mc1,1 mc1

6 mc

mc8

fitkeybo reluko tamagneP


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86

42 . ad,mc5kilabmepasnelsucofkaraj,mc04fitkejboasnelsucofkarajnagnedimubgnoporethaubeS karajn.mc01aynrelukoasnelsucof aynrelukoasnelnadfitkejboasnelkarajakam,isadomokarebkaditatamayapuS

....surahA. mc05B. mc55C. mc06D. mc56

E. mc07

52 . ofkaraJ.ilak6relugnanarasebrepnaklisahgnemgnaygnatnibtahilemkutnuiakapidgnoporethaubeS suk.isadomokarebkatatamnagnednakanugidgnoporeT.mc53relukoasnelpadahretfitkeyboasnel sukofkaraJ

.haladarelukoasnelA. mc5,3B. mc0,5C. mc0,7D. mc0,01E. mc0,03

62 . rotkaF - :aynaratnaidrelppodkefeawitsirepaynidajretihuragnepmemgnayrotkaf1. ecek tamagneppadahretiynubrebmuskaregnatap2. iynubrebmuspadahrettamagnepnatapecek3. muidemmaladiynubrebmusnatabmarepnatapecek4. iynubrebmusnupuamragnedneppadahretnignaharanadnatapecek

....haladaranebgnaynaataynrePA. 2nad1B. 3nad1C. 3nad2,1D. 4nad,3,2,1E. 3nad2

72 . nagnedenirisnakiynubmemlibmasmaj/mk801natapeceknagnedkaregrebecnalubmalibomhaubeS.s/m033araduidiynubnatapeceK.zh005.1isneukerf idiridrebgnaygnaroheloragnedretgnayisneukerF

nemlibomakiteknalajriggnip ....haladahuajnemnadtakedA. zH753.1nadzH055.1B. zH573.1nadzH006.1C. zH573.1nadzH056.1D. zH054.1nadzH057.1E. zH055.1nadzH057.1

82 . 01PedoK8002NU maj.mk09ujalnagnedkaregrebgnayipaatereK 1 dayntiulpnakiynubmemlibmasnuisatsitakednem nagne

s.m2ujalnagnediralrebgnapmunepnolacgnaroesnuisatsiD.zH036isneukerf 1 akiJ.aterekgnosgnoynemaraduidiynubtabmartapec v s.m043= 1 haladatubesretgnaroragnedidgnaytiulpiynubisneukerfakam,

....A. zH516B. zH486C. zH027D. zH057E. H069 z

92 . 74PedoK8002NU itrepeszH)f(isneukerfadapnalubmaenirisragnednem,ayarnalajipetidiridrebgnadesawsisgnaroeS

s.m5ujalnagnedawsisitakednemkaregrebnalubmaakiJ.rabmag 1 tapecnadzH533enirisisneukerf,s.m043araduidiynubtabmar 1 ....haladaawsisheloragnedidgnaynalubmaisneukerfakam,

A. zH043B. ZH053C. zH063D. zH563E. zH073

s awsi

nalubma

v


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96

03 . gnayragnednepihuajnems/m08natapeceknagnedkaregrebzH088isneukerfrebiynubrebmushaubeSynialiynubrebmustapadretragnedneptakediD.maid .zH017isneukerfnagnediynubnakracnamemgna

amiretidgnayiynubnagnayalepisneukerfakam,s/m023araduidiynubgnabmolegtabmartapecakiJ....haladaragnednep

A. zH62B. zH02C. zH61

D. zH01E. zH6


71/106

07

EPMOK ISNET 5

:5isnetepmoK nadnatengameknadnakirtsilekpisnirpnadpesnokimahameM

.halasamnaiaseleynepiagabrebmaladaynnaparenep

5.1 narasebnakutneneM - mukuhnadkirtsilnademihuragnepmemgnaysisifnaraseb.bmoluoC

sisifnarasebnakutneneM2.5 atres,kirtsillaisnetopigreneuata,kirtsillaisnetop,skulf

.rajajesgnipeksatisapakadapaynnaparenep

narasebnakutneneM3.5 - mukuhnakrasadrebnaiakgnarutausadapkirtsilnaraseb

.ffohhcriK

kratikesidkitengamiskudninakutneneM4.5 .kirtsilsurarebtawa

nataumuatakirtsilsurarebtawakadap)ztneroLayag(kitengamayagnakutneneM5.5

.negomohtengamnademmaladkaregrebgnaykirtsil

rotkafnaksalejneM6.5 - ajrekpisnirpuataiskudniLGGihuragnepmemgnayrotkaf

fsnart .rotamro

5.7 narasebnaksalejneM - kalobsuranaiakgnaradapsisifnaraseb - gnudnagnemgnaykilab.rotisapaknad,rotkudni,rotsiser


1.5 kitatSkirtsiL

.10 F kq q

r 1 2

2

.

k1

40

01x9= 9 mN 2 bmoluoC/ 2

0 01x58,8= - 21 bmoluoC 2 mnotwen/ 2

ayag=F

1adnebnataum=1Q

2adnebnataum=2Q

2ek1adnebkaraj=R

.20 E kQ

r

2

kirtsilnademtauk=E

nataum=Q

karaj=R


72/106

17

.rotkudnokalobhelokirtsilnademtauK.30

ER .0= sE kQ

R

2 pE k

Q

r

2

alobtasupidkirtsilnademtauk=rE

alobtilukidkirtsilnademtauk=sE

alobtasupiradpkarajadapkirtsilnademtauk=pE

alepratikesidnademtauK.40 .nataumrebt

pE

2 0

Q

AEP

0

mtauk=pEnataumtapar= kirtsilnade

.50 W k Q qr r

A B

B A

. . .( )1 1

raliB A = akam W kQ q

rB

B

~ ..

----- E kQ q

r

Q q

rP

B B

.

..1

40

60 . V kQ

r

Q

rB B

1

4 0

.

kirtsillaisnetop=V

.70 W q v vA B B A .( )

.ROTKUDNOKALOBLAISNETOP.80

VO V= K = V kq

RL . V k

q

rM .

IGRENENALAKEKEKMUKUH.90

v vq

mV V2

2

1

2

1 2

2 ( )


73/106

27

.01 CQ

V

.11 CA

d0

0 CA

d

.

.21 C C KK A

d 0

0.

31 . WQ

C 1

2

2

uata W VC 12

2

41 . .ireSnanusuS

- Qs Q= 1 Q= 2 Q= 3 .....=

- Vs

V=ba

V+cb

V+dc

V+ed

.....+

-1 1 1 1

1 2 3C C C C S .....

.lelarapnanusuS.51

- Vp

V= 1 V= 2 V= 3

- Q=pQ 1 Q+ 2 Q+ 3 .....+

- C=pC 1 C+ 2 C+ 3 .....+

.61

21

2221

CC

VCVCV BAG

kirtsilsatisapak=C

kirtsilnataum=Q

laisnetopadeb=V

araduapmahmaladsatisapaK=oC

gnipeekaudratnakaraj=d

gnisamsaul=A - gnipeekgnisam

kirtkeleidatnatsnok=K

rotisapakigrene=W


74/106

37

2.5 simaniDkirtsiL

10 . iqd

td

20 . td.A.V.e.n=qd

iqd

tdn eV A . . . erepmA

.30 Ji

An e V . . A m/erepm 2

.40

iV V

R

A B

=R.50 .L

A

R.60 )t( R= 0 +1( )t.

IRESNANUSUS.70

i=i 1 i= 2 i= 3 ....=

V S V= ba V+ cb V+ dc ...+

RS R= 1 R+ 2 R+ 3 ...+

LELARAPNANUSUS.80


75/106

47

V P V= 1 V= 2 V= 3

i+i 1 i+ 2 i+ 3 ....+

1 1 1 1

1 2 3R R R Rp ...

enotstaehwnatabmeJ.90

RX R. 2 R= 1 . R3

R

R R

RX

1 3

2

.

RETEMEREPMA.01 RETEMONAVLAG/ .

Rn

RS d 1

1mhO

.11 .RETEMTLOV

n(=vR - mhOdR)1

.

i=W 2 eluoJt.i.V=t.r.

deluoJ2,4=irolak1 irolaK42,0=eluoJ1na

i42,0=W

2

irolaKt.i.V42,0=t.r.

.31 Pwd

tdV i . tloV( - )ttaW=erepmA

41 . naksabebidigrenehalmujeshaletesiskaerepnahabnaitnagrepnakhutubmemininemele:REMIRPnemelE

gnariulalem .iaretaB:aynlasimraulnaiak

adortkeleaynpututretutiayisasiralopawitsirepidajretgniresininemeleadaP - nemelehaubesadortkele

adortkeleadappadnegnemgnayaimikiskaerlisahanerak - .tubesretadortkele


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57

asiralopsesorpnakgnalihgnemkutnU .rotasiralopedtazutausnakhabmatidutiis

:remirpnemelemacamaudnakadebid,rotasiralopedaynkadit/adanakrasadreB

1. .atloVnemeleadapaynlasim,rotasiralopediaynupmemkaditgnaynemele;patetkaditgnaynemelE

2. iaynupmemgnaynemele;patetnemelE .rotasiraloped

.lld,notseW,ehcnalceL,leinaDnemeleadap:aynlasim

b) rebmusiradsurairilaidhaletesayniskaerepnahabiurahabrepmemtapadininemelE:REDNUKESnemelE

.uccA:aynlasim,naklisahidgnaysuranagnednanawalrebaynharagnay,nial

iagabesnakgnades;bPhaladaadotaKiagabesininemeleadaP.taflusmasalabmitrotalumukA:naklasiM

ObPiakapidedonA 2 Htilortkeleiakamemnagned 2 OS 4.

c) rakabnahabaimikigrenehabugnemtapadgnayaimikortkelenemelehalada:RAKABNAHABnemelE

gnay .kirtsiligreneidajnemeunitnokaracesnakirebid

negordiHnemeleadap:naklasiM - .asakgnanagnabrenepadapiakapidgnaynegiskO

51 . =Wd

qd)tloV=bmoluoC/eluoJ(

.61 iR r

.71 iresaracesnususid

in

n r R

.

.

lelaraparacesnususid.81


77/106

67

ir

mR

iresnanusuS.91 - lelarap

in

n

mr R

.

.

TIPEJNAGNAGET.02

R.i=K

12 . )gnabackititmukuH(IffohhcriKmukuH

0=i

i1 i+ 2 i+ 3 i= 4 i+ 5

)utipututretnaiakgnarmukuH(IIffohcriKmukuH.22

+ =R.i 0

E fitagen:

E fitisop:

.fitagenadnatirebidpoolharanagnednanawalrebsurahara

alumnatabmah=oRsuratauk=I - alum

kirtsilnataum=q uhusneisifeok=ayad=Putkaw=t

maladnatabmah=rnortcelenatapecek=v

emulovnautasrepnortcelehalmuj=n LGG=

nortcelenataum=e iresnaiakgnarhalmuj=n

lelarapnaiakgnarhalmuj=mtawakgnapmanepsaul=A

maladnatabmah=dRlaisnetopadeb=V

et=Knatabmah=R tipejnagnag

napednanahat=vRtawaksinejtabmah=


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77

3.5 tengaMnadeM

.10 r

0

.20 B A

.30 HB

.40 B H r o H . .

fitalersatilibaemrepialin:kitengamadneB.50 .utasiradlicekhibel

.atnilfacak,nomitna,same,agabmet,htumsiB:hotnoC

.utasadapiradrasebhibelfitalersatilibaemrepialin:kitengamarapadneB

maragigalkaynabnadagabmettaflus,negisko,anitalp,muinimulA:hotnoC - marag tazhaladamagol

.kitengamarap

.ubiraparebebiapmasfitalersatilibaemrepialin:kitengamorefadneB)ocimla(utnetretmagolnarupmacnadtlaboc,lekin,ajab,iseB:hotnoC

.travaStoiBsumuR.60

=Bd0

4

2

nis.

r

dI

=k0

4

01= -7rebeW

A m.

.70 surulsuraratikesidkite

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