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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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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]8/3/2019 Siap Menghadapi Ujian Nasional Fisika SMA2012
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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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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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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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/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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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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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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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
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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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pesnoK - :icnuKpesnok
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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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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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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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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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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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
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.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
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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
.
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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
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gnirujgnadiB.3
narakgnil y Rilat rusub BA
rusub BA0
23
iraj=R - narakgniliraj
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
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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
iraj=R - narakgniliraj
sala
alobhagneteS.5
lajep y0 = 38 Riraj=R - .alobiraj
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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 -
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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
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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
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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
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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
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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(
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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
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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
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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
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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
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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
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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
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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
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(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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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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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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....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
=
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04
3ISNETEPMOK
:3isnetepmoK adrolakpesnokimahameM sagtafisatres,rolakisavresnokpisnirpn
maladakimanidomretmukuhtukgnaynemgnayaynnahaburepnad,laedi
.rolaknisemaynnaparenep
kcalBsasauata,rolaknahadniprep,tazutauspadahretrolakhuragnepnakutneneM1.3
asamnahacemepmalad .hal
2.3 nadakimanidomretsesorpiagabrebadaplaedisagmumunaamasrepnaksalejneM
.aynnaparenep
3.3 nisemadapakimanidomretsesorpnagnednatiakrebgnaysisifnarasebnakutneneM
.rolak
pesnoK - :icnuKpesnok
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
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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
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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
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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
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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
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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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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
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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
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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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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
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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
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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
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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
pesnoK - :icnuKpesnok
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
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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
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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
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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
'
'
'
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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=
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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
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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
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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
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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
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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
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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(
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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
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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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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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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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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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03 . gnayragnednepihuajnems/m08natapeceknagnedkaregrebzH088isneukerfrebiynubrebmushaubeSynialiynubrebmustapadretragnedneptakediD.maid .zH017isneukerfnagnediynubnakracnamemgna
amiretidgnayiynubnagnayalepisneukerfakam,s/m023araduidiynubgnabmolegtabmartapecakiJ....haladaragnednep
A. zH62B. zH02C. zH61
D. zH01E. zH6
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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
pesnoK - :icnuKpesnok
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
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.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 ( )
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.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
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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
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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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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
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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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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