Fizika 10.doc

8/9/2019 Fizika 10.doc

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FIZIKA FELADATGYJTEMNY 10.


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1. KRMOZGS

1.1. A kalapcsvet a ! "#ss$% &'(tk)t*le+ lev kalapcs#t ,0 !-+1

#'&/lats$!!al#'ata k)'2e. Mekk#'a a kalapcs ke'3let- se2ess*e *s k)'3l#'&/ls- -&ee4

1.. E5 k#'cs#l5$( 60 ! s/a'% k)')+ 1678 !9s se2ess*el !#$#. Mekk#'a a

k#'cs#l5$( s$)se2ess*e7 #'&/lats$!a *s k)'3l#'&/ls- -&ee4

1.,. :ep3l*p v;$s$-+tes s;k2a+ , test ,0 c! s/a'% k)'pl5+ 071 s pe'-(&/s-&vel e5e+letesk)'!#$st v*e$.

K*s$;tette Na5 I+c


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a Mekk#'a a test le+&3let*+ek +a5sa42 lt#$-kBe a test le+&3lete a pe'-(&/s-& 3v*+5*2e+4

1.11. A F)l& Nap k)'3l- pl5+ak tla#s s/a'a 176 . 1011 !7 pl5a!e+t- se2ess*e,0 k!9s.a Mekk#'a /tat /t 2e a F)l& 1 +ap alatt4

2 tla*'t*kekkel s$!#lva !e++5- -& alatt ke'3l- !e e5s$e' a F)l& a Nap#t4c M-*'t t*' el a s$!;t#tt ke'-+*s- -& a$ *v val(s#s ta'ta!t(l41.1. E5 076 k t)!e> test ! s/a'% pl5+ 6 s pe'-(&/s-&vel e5e+letes k)'!#$st

v*e$.a Mekk#'a a test !#$s- e+e'-a4

2 A pe'-(&/s-&t k*ts$e'es*'e +)velve7 "#5a+ vlt#$-k a test !#$s- e+e'-a41.1,. M-l5e+ !aas'a t/&/k 3leese+ el"a;ta+- a , 19s #'&/lats$!!al #'at#tt7

?0 c!Bes #+al'a e's;tett k)vet4 Me++5- -&e- e!elke&-k a test4

1.1=. E5 le!e$ts$( k#'#++ak #'&/lats$!a ,,!-+

1.

a Mekk#'a a t> le!e$"e$ v-s$#+5;t#tt se2ess*e a le!e$ lek3ls7 16 c!Bes *s

le2els7 6 c!Bes s/a'% ;v*2e+42 +5 #'&/lat#t tes$ !e a le!e$ e5 76 pe'ces elv*tel lets$sa alatt4

1.16. E5 le!e$ts$( 1 c! s/a'% k#'#++ak #'&/lats$!a =6!-+

1.

a Mekk#'a a k#'#+ !s#&pe'ce+k*+t- #'&/lats$!a42 Me++5- -& alatt tes$ !e a k#'#+ e5 #'&/lat#t4c Mekk#'a a k#'#+ s$*ls p#+t+ak ke'3let- se2ess*e4& Mekk#'a s$)el #'&/l el a k#'#+ 6 s alatt4

1.1


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1.1@. A F)l& te+el5 k)'3l- #'s+ak pe'-(&/s-&ee = ('a.a at'#$$/k !e a F)l& te+el5 k)'3l- #'s+ak s$)se2ess**tC

2 Mekk#'a a$ e5e+l;t+ l*v e!2e' ke'3let- se2ess*e7 "a a F)l& s/a'a test ke'-+7

ce+t'-petl-s 5#'s/lsa a +e"*$s*- 5#'s/ls +*5s$e'ese.a Mekk#'a a #'&/lats$!4

2 Mekk#'a a test'e "at( ce+t'-petl-s e'4c Me++5- a test k-+et-k/s e+e'-a4

1.. E5 ?0 c!Bes #+l'a e's;tett testet 3lees s;k2a+ #'at/+k. A #+alat akk#'e+e&3k el7 a!-k#' a test se2ess*e 3leese+ elel* !/tat. Ele+e&*s /t+ 1 s!%lva a test se2ess*e 16 !9s7 -'+5a elel* !/tat.a Mekk#'a se2ess*el "a5ta el a test a k)'pl5t4

2 Mekk#'a #'&/lats$!!al kellett a testet !#$at+/+k4

1.,. E5 , k t)!e> test !9s se2ess*el 1 ! s/a'% pl5+ e5e+letes k)'!#$stv*e$. 5a+e''e a pl5'a /ttat/+k e5 6 k t)!e>7 10 !9s ke'3let- se2ess*>testet7 !el5 a$ el$t /t#l*'ve7 vele t)k*letese+ '/al!atla+/l 3tk)$-k.a Mekk#'a k)$)s se2ess*el "ala& t#v22 a k)'pl5+ a k*t test4

2 #5a+ vlt#$-k !e a pe'-(&/s-& a$ els test"e$ k*pest41.=. E5 07? k t)!e> test ke'3let- se2ess*e < !9sB'(l e5e+letese+ +.

a Mekk#'a les$ a p-lla+at+5- se2ess*e a 5#'s;ts v**+7 "a a$ *'-+t-'+5% e'!/+ka 867< J4

2 Mekk#'a a test ce+t'-petl-s 5#'s/ls+ak vlt#$sa7 "a a k)'pl5a s/a'a ,< c!4c K*s$;ts3k el a$ acp v 'a-k#+tC

1.6. E5 e5e+letes #'(!#$st v*$ k#'#+ = s alatt =00Bkal #'&/l el. A k#'#+ k*t

p#+t+ak ke'3let- se2ess*e ,17 c!9s7 -lletve =17< c!9s.a Mekk#'a a k#'#+ s$)se2ess*e4

2 Mekk#'a a k*t p#+t te+el5tl val( tv#lsa4c Mekk#'a a k*t p#+t ce+t'-petl-s 5#'s/ls+ak a'+5a4

1. kalapcs#t ! "#ss$% &'(tk)t*le+ pe'ce+k*+t,0 B s$#' #'ata k)'2e. Mekk#'a a kalapcs'a "at( ce+t'-petl-s e'4

1.8. F#'( k#'#+'a "el5e$ett a"as2 10 c! s/'#+ k)'2e #'#. Mekk#'a a !a-!l-s

#'&/lats$!7 a!el5 !ellett !* !e!a'a& a k)'pl5+7 "a a s%'l(&s- t*+5e$ 07641.?. Mekk#'a s$)el kell !ee!el+- a$ 60 ! s/a'% ka+5a'2a+ a$ %ttestet a v;$s$-+tes"e$

v-s$#+5;tva7 "a a$ a/t( se2ess*e ,< k!9"4

1.@. F3lees s;k2a+ k)'2e#'at/+k e5 1 ! "#ss$% #+l'a e's;tett7 k t)!e> testet l9s #'&/lats$!!al. Mekk#'a e' es$;t- a k)telet a leals( *s leels p#+t2a+41.,0. a a p-l(ta a *p*t 3lees s;k2a+ 00 ! s/a'% k)'pl5+ ve$et-7 !ekk#'a

+5#!(e' l*p el a 80 k t)!e> p-l(ta *s a$ 3l*s k)$)tt a pl5a leals(7 -ll. leelsp#+t2a+4

A *p se2ess*e ,


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a Me++5- a ke'-+*s- -&4

2 Mekk#'a e' es$;t- a #+alat41.,. A$ 1000 k t)!e> *pk#cs- !2v-&*ke+ "ala&7 e5e+letes 8 k!9" se2ess*el.

A$ A *s p#+t#k2a+ a$ %t 100 ! -11. 60 ! s/a'% k)';v7 a p#+t2a+ v;$s$-+tes.

a at'#$$/k !e e "'#! p#+t2a+ a$ %t ltal a *pk#cs-'a k-etett +5#!(e'-'+5t *s +a5stC

2 Me++5- le"et a *pk#cs- !a-!l-s se2ess*e a$ A p#+t2a+4

1.,,. Mekk#'a #'&/lats$!!al kell a 3lees "el5$et> "e+e'palst#t te+el5e k)'3l#'at+-7 "#5 a palst 2els el3let*'e "el5e$ett test a "e+e' ala !e+t*+ le +ecs%ss$*k4 ' O 076 ! P O 07

1.,=. E5 let le!e$2l "al;t#tt 3lees s;k2a+. Fekv ' s/a'% k)'pl52a+#l5tat(&-k. A let'l " !aass2(l s%'l(&s +*lk3l p#+ts$e'> test cs%s$-k le.Mekk#'a " eset*+ # a test a k)'pl5a 2els el3let*+ v*-"ala&+-4

1.,6. 110 N B - te'"el"et7 1 ! "#ss$% #+l#+ 1 k t)!e> k)vet #'at/+k 3lees

s;k2a+7 e5'e 5#'sa22a+ *s 5#'sa22a+. A #+l e5s$e' csak els$aka&.a A k)'pl5+ak !el5-k p#+t+ v#lt a k a22a+ a p-lla+at2a+ 7 a!-k#' els$aka&t a

#+l 42 Me++5- v#lt a k se2ess*e ekk#'4c M-l5e+ !#$st v*e$ a k7 !-/t+ els$aka&t a #+l4

1.,


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se2ess*el. Mekk#'a e'vel +5#!a a$ a/t( a "-&at a ";& le!aasa22 p#+t+41.,?. :ep3l*p 80 k!9" se2ess*el 3lees s;k2a+ 6 ! s/a'% k)'pl5+ k)')$.

a Mekk#'a e'vel +5#!a a$ 3l*s a 80 k t)!e> p-l(tt a k)'pl5a leels *sleals( p#+t2a+7 "a a p-l(ta a k)'pl5a 2els ke'3let*+ !#$#4

2 Mekk#'a e'vel kell a p-l(tt k)'pl5+ ta'ta+- a k)'pl5a leels *s leals(

p#+t2a+7 "a a p-l(ta a k)'pl5a k3ls ke'3let*+ !#$#41.,@. 1 ('a /t+ !e++5- -&vel les$ a$ ('a +a5 B*s k-s!/tat(a !e'lees e5!s'a41.=0. A$ ('a 1 ('a 10 pe'cet !/tat. Me++5- -& !%lva les$ a k*t !/tat( e5!s'a

!e'lees41.=1. F#+l-+a "#ss$%sa !7 a #+l'a 3es$tett test t)!ee 1 k. Mekk#'a e' es$;t-

a #+alat7 a!-k#' a$ -+a le+*se s#'+ a 3leessel test e5e+letes k)'!#$s+ak %tB-& *s s$)el#'&/lsB-&'a-k#+t lt/k.

.=,.

a Mekk#'a a pl5a s/a'a4

2 Mekk#'a a #'&/lats$!4c Me++5- -& alatt tes$ !e a test e5 #'&/lat#t4& Mekk#'a a test ce+t'-petl-s 5#'s/lsa4e Mekk#'a e' s$3ks*es a k)'!#$s 2-$t#s;ts"#$4

1.==. E5 'ep3l*p v;$s$-+tes s;k% k)';ve+ #'&/l kelet'l &*l+ek. T)!ek)$*pp#+t+akke'3let- se2ess*e 86 !9s. A *p s$'+5v*e-+ek tv#lsa 60 !.a Mekk#'a a *p t)!ek)$*pp#+ta ltal 2e/t#tt k)';v s/a'a7 "a a s$'+5v*ek

ke'3let- se2ess*e- %5 a'+5la+ak e5!s"#$7 !-+t 1,142 Me++5- -& s$3ks*es a #'&/ls"#$4

1.=6. F3lees s;k2a+ k)'2e#'at/+k e5 07= ! "#ss$% #+l'a e's;tett7 07< k t)!e>testet. A test a pl5a le!aasa22 p#+t+ a s%l5tala+s llap#t2a+ va+.a Mekk#'a a test se2ess*e a pl5a le!aasa22 p#+t+4

2 Mekk#'a a test se2ess*e a pl5a le!*l5e22 p#+t+4c Mekk#'a e'vel "at a #+l a test'e a pl5a le!*l5e22 *s le!aasa22 p#+t+4

1.= *p'!>


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s%'l(&s- t*+5e$ a '!> *s a tala k)$)tt 07,42 Mekk#'a le"et a '!> !a-!l-s se2ess*e a ka+5a'2a+4

1.=8. E5 k#'cs#l5$(+ak 8,QBkal kell a v;$s$-+tes"e$ &l+-e7 "#5 a


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t)!ee k*ts$e'ese a F)l&*+ek41.6


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K)'pl5+ !#$( test s$)se2ess**t a$ -& 3v*+5*2e+ a$ 2'a !/tata.2'$#l/k a s$)5#'s/lst a 0. *s 10. s k)$)tt- -+te'vall/!2a+ C +5 teles#'&/lat#t tes$ !e a test a 0 B 10 s -&k)$2e+4

.=. E5 '!> ke'ek*+ek t!*'e 80 c!.

a Mekk#'a 5#'s/lssal -+&/l a '!>7 "a a ke'*k ,76 s alatt *'- el a 1 19ss$)se2ess*et4

2 Mekk#'a a ke'*k s$)5#'s/lsa4c Mekk#'a /tat tes$ !e a '!> a 5#'s;ts alatt4& Mekk#'a s$)el #'&/l el a ke'*k a 5#'s;ts -&ee alatt4

.6. E5 0786 k t)!e> test 1 ! s/a'% k)'pl5+ 07 19ss$)5#'s/lssal -+&/l.a Me++5- -& alatt *'- el a = 19s !a-!l-s s$)se2ess*et4

2 Mekk#'a a test *'-+t-'+5% 5#'s/lsa4c Mekk#'a a test le+a5#22 *'-+t-'+5% se2ess*e4& K*s$;ts3k el a !#$s s$)se2ess*B-& *s se2ess*B-& 'a-k#+tC

. testet e's;t3+k7 !a& , !9s *'-+t-'+5%

5#'s/lssal v;$s$-+tes s;k2a+ k)'!#$s'a k*s$tet3k. A #+l 1


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a Ele!e$$3k a test !#$stC K*s$;ts3k el a s$)se2ess*B-& 'a-k#+t elt*ve7"#5 ke$&et2e+ a test +5/al#!2a+ v#ltC

2 H$!;ts/k k- a =0 s alatt- s$)el#'&/lstCc Me++5- a test tla#s s$)se2ess*e4

.@. A$ 2'+ e5 test !#$s+ak s$)se2ess*B-& 'a-k#+t lt/k.

a 2'$#l/k a test s$)5#'s/lst a$ -& 3v*+5*2e+C

2 at'#$$/k !e a test tla#s s$)se2ess**tC.10. E5 *pk#cs-7 ll( "el5$et2l -+&/lva 7= !9slla+&( 5#'s/lssal *'- el a 8 k!9"

se2ess*et.

10 K*s$;tette Na5 I+c


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a Mekk#'a a ,0 c! s/a'% ke'*k s$)5#'s/lsa4

2 Mekk#'a a ke'*k e5 s$*ls p#+t+ak ce+t'-petl-s 5#'s/lsa4 #+atk#$"atBe a$el22- k*t 'a-k#+ a k-vlas$t#tt p#+t !#$s'a4

.11. E5 1 c! s/a'% k)s$)'>k = s alatt *'- el a =00 19!-+ #'&/lats$!#t.a H$!;ts/k k- a$ el*'t #'&/lats$!+l a p-lla+at+5- s$)se2ess*etC

2 E5e+letes vlt#$st elt*tele$ve7 2'$#l/k a s$)se2ess*et a$ -&3v*+5*2e+C at'#$$/k !e a 'a-k#+ se;ts**vel a k)s$)'>ks$)5#'s/lstC

c K*s$;ts3k el a k pe'e!*+ l*v p#+t'a a s/'-'+5% 5#'s/lsB-& 'a-k#+tC1.1. E5 test7 ll( "el5$et2l -+&/lva e5e+letese+ 5#'s/l( k)'!#$st v*e$. A$

-+&/lst(l s$!;t#tt 10 s !%lva 60 19s #'&/lats$!#t *'t el a ?0 c! s/a'% k)'pl5+.a Mekk#'a a test 10 s alatt el*'t s$)se2ess*e *s le+a5#22 ke'3let- se2ess*e4

2 Mekk#'a v#lt a test #'&/lats$!a a$ -+&/lst(l s$!;t#tt = s eltelt*vel4c Mekk#'a s$)5#'s/lssal *'te el a test a$ 60 19s #'&/lats$!#t4

.1,. ll( "el5$et2l7 k)'pl5+ -+&/l( test 1 s alatt *'- el a ke'ekek s$)5#'s/lsa4c +5 #'&/lat#t tes$ !e a ke'*k a *ke$*s !eke$&*s*tl a !ells-4

.16. E5 60 c! s/a'% ke'*k 07= s alatt 10 #kkal #'&/l el.a H$!;ts/k k- a ke'*k s$)se2ess**tC2 at'#$$/k !e a ke'*k a$#+ p#+tt7 !el5+ek ke'3let- se2ess*e 076 !9sCc +5 #'&/lat#t tes$ !e a ke'*k pe'c alatt4

.1


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.18. A$ 1 c! s/a'% e5e+letese+ #'( #'s( pe'e!*'l 1 s alatt s$*ls p#+t+ak le+a5#22 ke'3let- se2ess*e4.0. a+le!e$ts$( k#'#+'a a k)$*pp#+tt(l 10 c! B 'e p*+$&a'a2#t "el5e$3+k.

A +5/al!- s%'l(&s- e53tt"at( a k#'#+ *s a p*+$&a'a2 k)$)tt 0706. A k#'#++5/al!- "el5$et*2l -+&/l7 *s s$)5#'s/lsa 19s . A$ -+&/lst(l s$!;tva !e++5--& !%lva cs%s$-k !e a p*+$&a'a2 a k#'#+#+4

.1. E5 076 ! s/a'% k)'pl5+ e5e+letese+ vlt#$( k)'!#$st v*$ test7 a$ -+&/lst(ls$!;t#tt 07 s alatt *'- el a$ 6 19s s$)se2ess*et. A test t)!ee 07= k.a at'#$$/k !e a test'e "at( e'e& e't a 5#'s;ts /t#ls( p-lla+at2a+C

2 Mekk#'a s$)et $' 2e ekk#' a$ e'e& e' a pl5a *'-+t*vel4.. ! s/a'% k)'pl5+ =0 19ss$)5#'s/lssal -+&/l e5 test.

a Me++5- -& !%lva les$ a ce+t'-petl-s 5#'s/ls t;$s$e' akk#'a7 !-+t a$*'-+t-'+5% 5#'s/lsa4

2 Mekk#'a e22e+ a p-lla+at2a+ a test e'e& 5#'s/lsa *s !ekk#'a s$)et $' 2e a$*'-+t-'+5% 5#'s/lssal4.,. A


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.6. E5 v;$s$-+tes k#'#+ t!*'e 60 c!. A k#'#+ s$*l*'e ,0 B#s testet "el5e$3+k7!a& a k#'#+#t 07, 19ss$)5#'s/lssal #'s2a "#$$/k.a Mekk#'a #'&/lats$!+l ')p3l le a k#'#+'(l a test7 "a a tapa&s- s%'l(&s-

e53tt"at( 07142 Me++5- -& !%lva k)vetke$-k 2e a test le'ep3l*se4

c Mekk#'a a test k-+et-k/s e+e'-a a le'ep3l*s p-lla+at2a+4

. test 1 ! s/a'% k)'pl5+7 ll( "el5$et2l -+&/lva , !9s

5#'s/lssal *'- el a test ke'3let- se2ess*e < !9sB'(l e5e+letese+ +.a Mekk#'a les$ a p-lla+at+5- se2ess*e a 5#'s;ts v**+7 "a a$ *'-+t-'+5% e'

!/+ka 867< J42 Mekk#'a a test ce+t'-petl-s 5#'s/ls+ak vlt#$sa4 A k)'pl5a s/a'a ,< c!.c K*s$;ts3k el a$ acp v 'a-k#+tC

.,0. E5 07= k t)!e>7 p#+ts$e'> test 6 c! s/a'% k)'pl5+ e5e+letes k)'!#$stv*e$.a Mekk#'a a test te"etetle+s*- +5#!at*ka4

2 Mekk#'a s$)se2ess* est*+ les$ a test pe'&3lete 0716s

k!

4

.,1. E5e+letes k)'!#$st v*$7 071, k t)!e> p#+ts$e'> test pe'&3lete 87?s

k! .

a H$!;ts/k k- a test te"etetle+s*- +5#!at*kt7 "a a pl5a s/a'a 10 !C2 Mekk#'a a test pl5a!e+t- se2ess*e4c Mekk#'a ce+t'-petl-s e' s$3ks*es a test k)'pl5+ ta'ts"#$4

1, K*s$;tette Na5 I+c


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3. REZGSEK

,.1. Mekk#'a a sp-'l'/(+ 'e$ test k-t*'*se a 'e$*s !eke$&*se /t+ 07016 s !%lva7"a a$ a!pl-t%&( = c! *s a 'ekve+c-a 10 $4

,.. E5 '*s$ecske "a'!#+-k/s 'e$!#$st v*e$ $ 'ekve+c-val *s 6 c!a!pl-t%&(val. at'#$$/k !ea a pe'-(&/s-&tP

2 a k)''ekve+c-tPc a le+a5#22 se2ess*etP& a le+a5#22 5#'s/lstC

,.18. a'!#+-k/s 'e$!#$st v*$ '*s$ecske k-t*'*se tek. A '/(k '/(lla+&(a60 N9!. A s%'l(&st(l tek-+ts3+k elCa Mekk#'a a 'e+&s$e' e+e'-a7 "a a k-sk#cs-t 6 c!B'el #+l-'+52a k-t*';t3k7 !a&

!a'a "a5/k42 Mekk#'a a k#cs- se2ess*e a$ e5e+s%l5- "el5$ete+ t)'t*+ t"ala&sk#'4

,.=. A 100 t)!e> k-sk#cs- a$ e5e+s%l5- "el5$ete+ #+l-'+5% 76 c!9s se2ess*el

"ala& t. M-+&e5-k '/( '/(lla+&(a 60 N9!. A$ e5e+s%l5- "el5$ete+ val(t"ala&sk#' a '/(k +5%tatla+ llap#t2a+ va++ak7 a #+alak v;$s$-+tes "el5$et>ek.Mekk#'a a!pl-t%&(% a k#cs- 'e$!#$sa4 A '/(k t)!e*t *s a s%'l(&st"a+5a#l/k elC

,.6. A 100 t)!e> k-sk#cs- "a'!#+-k/s 'e$!#$st v*e$. A k#cs- se2ess*e c!Besk-t*'*s+*l 1 !9s. Mekk#'a a k#cs- 'e$*s*+ek a!pl-t%&(a7 "a !-+&e5-k '/('/(lla+&(a 60 N9!4 A$ e5e+s%l5- "el5$et2e+ a '/(k +5%tatla+ llap#t2a+va++ak7 a #+alak v;$s$-+tes "el5$et>ek. A '/(k t)!e*t *s a s%'l(&st "a+5a#l/kelC

,.


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,.,0. 60 N9! '/(lla+&(% '/('a &27 e5e+k*+t 6 t)!e> testet 3es$t3+k el.a Mekk#'a les$ a els test !a-!l-s se2ess*e7 "a el*et3k a$ als( testet ta't(

c*'+t42 Mekk#'a a k-alak/l( "a'!#+-k/s 'e$*s a!pl-t%&(a *s pe'-(&/s-&ee4

,.,1. a e5 '/('a 100 t)!e> testet 3es$t3+k7 a '/( 1 c!B'el +5%l-k !e. Mekk#'a

t)!e> testet kell 3es$te+3+k /5a+e''e a te'"eletle+ '/('a7 "a a$t s$e'et+*+k7"#5 07< s pe'-(&/s-&vel 'e$ee+4,.,. E5 '/('a akas$t#tt test a '/(t = c!B'el +5%t#tta !e. Mekk#'a pe'-(&/s-&e>

'e$*seket v*e$ a test7 "a a$ e5e+s%l5- "el5$et2l k-!#$&;t/k7 !a& !a'a"a5/k4

,.,,. E5 te"e'a/t( t)!ee 6000 k. A '/($s !-att 3lees -'+52a+ 'e$*seketv*e$"et7 e++ek 'ekve+c-a te'"eletle+ k#cs- eset*+ 19s. Me++5-vel vlt#$-k a'ekve+c-a7 "a a k#cs- 000 k t)!e> 'ak#!+5t s$ll;t4

,.,=.

A$ 2'a s$e'-+t- )ss$ell;ts2a+ a$ ! t)!eet k-ss* k-t*';t3k a$ e5e+s%l5-"el5$et*2l7 3lees -'+52a+7 !a& !a'a "a5/k. Mekk#'a les$ a 'e$*s-&4D1O 1 N9! P DO N9! P D,O , N9! *s a '/(k t)!ee el"a+5a#l"at(7 ! O 1?0

,.,6. Me++5-vel kell !e')v-&;te+- a !ate!at-ka- -+a "#ss$t7 "#5 a 10 k! !aass2a+le2e l*"a(2a+ /5a+akk#'a le5e+ a le+*s-&ee7 !-+t a F)l& els$;+*+4

,.,


18/48


4. PONTRENDSZER ME!ANIKJA

=.1. ,0 #k#s let tete*'l lecs%s$( test a let al'a eleakk#'a se2ess*el *'ke$-k7

!-+t"a s%'l(&s +*lk3l cs%s$#tt v#l+a. Mekk#'a a test *s a let k)$)tt- s%'l(&s-e53tt"at(4

=.. =6 #k#s "alss$)>7 6 ! "#ss$% t*kcs%s$&a a !e&e+ce s$*l*+*l v*$&-k. A v;$s$-+te !*te''el !*l5e22e+ va+. A !e&e+ce #l&alalt(l !-l5e+ tv#ls2a+ *' av;$2e a$ a 5e'ek7 ak- a cs%s$&a tete*'l ke$&se2ess* +*lk3l cs%s$#tt le4 A cs%s$&a*s a 5e'ek k)$)tt- s%'l(&s- e53tt"at( 07.

=.,. ll(cs-+ tvetett #+al v*e-+ !1-lletve !t)!e> test va+. Mekk#'a 5#'s/lssal!#$# a$ e5-k -lletve a !s-k test7 *s !ekk#'a e' "at a !e++5e$et'e7 a"#v a cs-tel3es$tett*k4 A #+l *s a cs-a t)!ee el"a+5a#l"at(P a #+l +e! +5%l-k !ePa te+el5 +e! s%'l(&-kP a k)$eelle+lls *s a leve2e+ a el"at(e'el"a+5a#l"at(.

=.=.

Mekk#'a a$ 2'a s$e'-+t #+llal e5!s"#$ k)t)tt !1-lletve !t)!e> testek

5#'s/lsa *s a #+alat es$;t e'7 "aa a$ !t)!e> test a v;$s$-+tes s;k#+ s%'l(&s +*lk3l cs%s$"atP2 a$ !t)!e> test *s a s;k k)$)tt a s%'l(&s- e53tt"at( 074 ! 1O076 kP

!O k=.6.

at'#$$/k !e a$ 2'+ lt"at( 'e+&s$e' 5#'s/lst7 "aa a s%'l(&st(l eltek-+t3+kP

2 a$ !1 t)!e> test *s a let k)$)tt a s%'l(&s- e53tt"at( 41. la2&t ! !aas'(l a pa&l('a et3+k7a"#++a+ 176 ! !aas'a

patta+ v-ss$a. Mekk#'a !#$s!e++5-s*et att t 3tk)$*s k)$2e+ a la2&a apa&l(+ak4

1? K*s$;tette Na5 I+c


19/48


=.8.

Mekk#'a a$ 2'+ lt"at( 'e+&s$e' 5#'s/lsa *s a$ e5es #+al&a'a2#kat es$;te'4 ! O 8 kP !1O kP !O = k

=.?.

at'#$$/k !e a$ 2'+ lt"at( 'e+&s$e' 5#'s/lstC !1O kP !O 1 kP O ,0 0P O =6 0

=.@.

A$ 2'+ lt"at( el'e+&e$*s2e+ !lt)!e s%'l(&s +*lk3l !#$#"at a let+.Mekk#'a les$ a testek se2ess*e !*te' %t 2e/tsa /t+7 "a +5/al#!2(l-+&/ltak4 !1O= k P !O176k P =,0Q

=.10. "#ss$%s% #+l#+ ! t)!e> "#!#kkal t)lt)tt $'t #$ 3. A #$2a#l&al'(l !lt)!e> l)ve&*ket l)v3+k. A l)ve&*k 2e"at#l a #$2a *s 2e++e !a'a&.A #$ k-le+&3l +5/al!- "el5$et*2l a++5-'a7 "#5 a #+l e'e&et- "el5$et*vel s$)et $' 2e. Mekk#'a v#lt a l)ve&*k se2ess*e4

1@ K*s$;tette Na5 I+c


20/48


1.11.

Me++5- a$ 2'+ v$#lt 'e+&s$e'2e+ a #+l#+ l(( "as2#k 5#'s/lsa7 *s!ekk#'a e' "at a !e++5e$et'e4 A #+l +e! +5%l-k7 t)!ee el"a+5a#l"at(7 *sa cs-+ +e! cs%s$-k !e.

1.1.

"alss$)> let+ " !aass2(l !1t)!e> test cs%s$"at le. A test"e$ a lettete*+ !ee's;tett7 v;$s$-+tes te+el5 k)'3l #'at"at( k#'#+ ke'3let*'e csava't#+l v**t k)t3k. A k#'#+ t)!ee !7 s/a'a :. !1O !9P O 17?0P O 07P" O 07? !P : O 6 c!

a Mekk#'a se2ess*el *' a let al'a a test7 "a a cs%s$s- s%'l(&s-e53tt"at(a 4

2 Mekk#'a a k#'#+ s$)5#'s/lsa4

=.1,. ! t)!e>7 : s/a'% k#'#+ 3lees te+el5 k)'3l #'# s$)se2ess*el. a a#'( k#'#+#+ k-s!*'et>7 !1 t)!e> test a k)$*pp#+tt(l a k#'#+ ke'3let*- cs%s$-k7

!e++5-vel vlt#$-k a s$)se2ess*4 ! O , kP !1O 076 k7 Os

1=



21/48


=.1=.

K-sk#cs- v;$s$-+tes s;k lap+ 1 k t)!e> "as2 eks$-k. A "as2 *s a k#cs- lapak)$)tt a cs%s$s- *s a +5/al!- s%'l(&s- e53tt"at( !ee5e$-k *s 07=. A kt)!e> k-sk#cs- a tala#+ elle+lls +*lk3l !#$#"at. Mekk#'a a$ e5es t)!eek5#'s/lsa7 "a a$ 1 k t)!e> "as2#t F e'vel "%$$/k v;$s$-+tes -'+52a+ 4a F O 6 N

2 F O 8 N=.16. E5 l)ve&*ket k#cs-+ eks$-k e5 ! O 076 k t)!e>test. A k#cs- *s a test k)$)tt a +5/al!- s%'l(&s- e53tt"at( 07. A k#cs- *s a talak)$)tt- s%'l(&s el"a+5a#l"at(. at'#$$/k !e a$t a lek-se22 F "%$(e't7 a!ell5ela k#cs-'a "atva7 a$ ! t)!e> test *ppe+ !ecs%s$-k a k#cs-+C

=.1?. Mekk#'a !a-!l-s 5#'s/lssal -+&/l"at a te"e'a/t(7 "#5 a v;$s$-+tes7 s;k

'akel3let*+ lev l&a !e +e cs%ss$#+4 A l&a *s a 'akel3let k)$)tt- s%'l(&s-e53tt"at( 07.

=.1@. E5 a/t( -+&/lsk#' e5e+letese+ 5#'s/lva = s alatt *'- el a 10 !9s se2ess*et. I++e+ke$&ve e5e+letese+ "ala&. Vss$ese+ !e++5-vel cs%s$-k "t'a a 'akel3lete+ lev l&a7"a a l&a *s a 'akel3let k)$)tt a s%'l(&s- e53tt"at( 074

=.0. ;$s$-+tes tala#+ 10 !9s se2ess*el ell)k)tt test a s%'l(&s k)vetke$t*2e+ < ! %t!et*tele /t+ !ell. Mekk#'a a tala *s a test k)$)tt a s%'l(&s- e53tt"at(4

=.1. A$ 2'+ lt"at( !(+ v;$s$-+tes as$tal#+ eks$-k e5 !1O, k t)!e>7 "as2 alak%test. A "as2"#$ s%'l(&s!e+tes cs-+ tvetett #+l v**'e7 e5 ! O1 k t)!e>testet 3es$t3+k. A #+l *s a cs-a t)!ee el"a+5a#l"at(.



22/48


Mekk#'a a$ as$tal#+ l*v test+ek a 5#'s/lsa *s !ekk#'a e' es$;t- a k)teleket7 "aa a s%'l(&s a$ as$tal *s a test k)$)tt el"a+5a#l"at(4

2 A$ as$tal *s a test k)$)tt- s%'l(&s- e53tt"at( 07164=.. ;$s$-+tes lap#+ !1O < k t)!e> test"e$7 cs-+ tvetett #+llal7 !O= k

t)!e> testet k)t3+k. A lap *s a 'ata lev test k)$)tt a s%'l(&s- e53tt"at( 07.A cs-a *s a #+l t)!ee7 vala!-+t a cs-a te+el5*+*l ell*p s%'l(&sel"a+5a#l"at(.

a Mekk#'a 5#'s/lssal !#$# a 'e+&s$e'4

2 Mekk#'a e' es$;t- a #+alat4=.,. K*t "as2#t "%$/+k v;$s$-+tes s;k#+7 a$ 2'a s$e'-+t- el'e+&e$*s2e+. Leele22

!ekk#'a F e'vel "%$"at/k a 'e+&s$e't7 "a !1O k7 !O6 k7 a s%'l(&s-e53tt"at( *'t*ke 071 *s a k*t testet )ss$ek)t #+l 6 NB+l +a5#22te'"el*s+*l els$aka&4

=.=. ;$s$-+tes lap#+ #+llal )ss$ek)t)tt !1O k7 -lletve !O= k t)!e> "as2

eks$-k. A$ !t)!e> "as2"#$ cs-+ tvetett #+alat k)t3+k7 *s a++ak v**'e!,O, k t)!e> testet akas$t/+k.

K*s$;tette Na5 I+c


23/48


a Mekk#'a 5#'s/lssal !#$# a 'e+&s$e'7 "a a s%'l(&st(l *s a cs-at)!e*tl eltek-+t3+k4

2 Mekk#'a e' es$;t- e22e+ a$ eset2e+ a$ e5es #+alakat4=.6. ;$s$-+tes lap#+ #+llal )ss$ek)t)tt !17 -lletve !t)!e> test eks$-k. A$ !

t)!e> test"e$ cs-+ tvetett #+alat k)t3+k7 *s a++ak a v**'e !, t)!e>testet e's;t3+k. A$ as$tal *s a 'ata ekv testek k)$)tt a s%'l(&s- e53tt"at( .Le5e+ !1O, k7 !O k *s !,O176 k. A cs-a *s a #+alak t)!eeel"a+5a#l"at(. O07.


2 Mekk#'a e' es$;t- a$ e5es #+alakat4=. "as2

eks$-k. A$ ! t)!e> "as2"#$ cs-+ tvetett #+alat e's;t3+k7 *s a++akv**'e = k t)!e> testet 3es$t3+k. A cs-a t)!ee 176 k7 t!*'e 10 c!.A #+l t)!ee *s a s%'l(&s !-+&e+3tt el"a+5a#l"at(.

a Mekk#'a a 'e+&s$e' 5#'s/lsa4

, K*s$;tette Na5 I+c


24/48


2 Mekk#'a e' es$;t- a #+alakat4=.8. ,0QB#s "alss$)> let'e "el5e$ett !1O6 k t)!e> test"e$ a let tete*+

ele's;tett cs-+ tvetett #+alat k)t3+k7 a #+l !s-k v**'e !O k t)!e>testet akas$t/+k. A cs-a *s a #+l t)!e*t7 vala!-+t a s%'l(&st "a+5a#l/kelC

a Mekk#'a a !a'a "a5#tt 'e+&s$e' 5#'s/lsa4

2 Mekk#'a e' es$;t- a #+alat4c Mekk#'a se2ess*et *' el a ke$&se2ess* +*lk3l -+&/l( 'e+&s$e'7 a!; a$

!t)!e> test =0 c!Bt !#$&/l el4=.?. ;$s$-+tes lap#+ el"el5e$ett !1O k *s !O, k t)!e> t*latestet #+llal

k)t3+k )ss$e. A$ !t)!e> test'e FO 100 N v;$s$-+tes -'+5% e'vel "at/+k.

a Mekk#'a a 'e+&s$e' 5#'s/lsa7 "a a s%'l(&s el"a+5a#l"at(42 Mekk#'a e' es$;t- a #+alat4

=.@. ;$s$-+tes as$tallap'a e5!s !ell* !1O= k *s !O< k t)!e> t*latesteket"el5e$3+k. A k*t t*latestet !et#l/k. A$ e' 0 N +a5s%7 a$ !1 t)!e>test'e "at v;$s$-+tes -'+52a+7 a$ *'-+tke$ #l&allap#k'a !e'leese+.

a Mekk#'a a t*lk 5#'s/lsa7 "a a s%'l(&st(l eltek-+t3+k4

2 Mekk#'a e'vel +5#!a a$ e5-k test a !s-kat4=.,0. ;$s$-+tes as$tallap'a e5!s !ell* !1O k *s !O? k t)!e> t*latesteket

"el5e$3+k. A$ !1 t)!e> t*latest #l&allap'a !e'leese+7 v;$s$-+tes -'+5%7FO,0 N +a5s% e'vel "at/+k7 a!el5tl a$ !t)!e> -s el!#$&/l.

= K*s$;tette Na5 I+c


25/48


a Mekk#'a a t*lk 5#'s/lsa7 "a a$ as$tal *s t*latestek k)$)tt a s%'l(&s-

e53tt"at( 0742 Mekk#'a e'vel +5#!a a$ e5-k test a !s-kat4

=.,1. A$ !1O k *s !O, k t)!e> testeket el"a+5a#l"at( t)!e> ll( cs-+ tvetett#+l k*t v**'e akas$t/k7 *s !1Bet as$tal'a "el5e$ve ta't/k.

a Mekk#'a a ta't(e'4

2 Mekk#'a e' es$;t- a #+alat7 "a a 'e+&s$e' +5/al#!2a+ va+4

c Mekk#'a les$ a #+alat es$;t e'7 "a a$ !1t)!e> testet ele+e&3k4=.,. Le5e+ a$ 2'a s$e'-+t- el'e+&e$*s2e+ a s%'l(&s !-+&e+"#l el"a+5a#l"at(C A$ !1O6k *s !O k t)!e> testet )ss$ek)t #+l +5%t"atatla+ *s el"a+5a#l"at(a+ k-st)!e>. Eltek-+t"et3+k a cs-a t)!e*tl -s. A let "#ss$a 76 !7 "alss$)e ,0Q.Ke$&et2e+ a$ ! t)!e> test a let alval e5 s$-+t2e+ "el5e$ke&ett el7 a$ !1t)!e> pe&- a let tete*+ llt.

a at'#$$/k !e a testek se2ess**t a !/+kat*tel se;ts**vel a22a+ a

p-lla+at2a+7 a!-k#' a$ !t)!e> test *ppe+ el*'- a cs-tC2 2'$#l/k !-+&k*t test "el5$et- *s !#$s- e+e'-t a$ -& 3v*+5*2e+C

=.,,. A$ 2'+ lt"at( el'e+&e$*s2e+ !1O k7 !O< k7 !,O, k. A testeket )ss$ek)t#+l *s a cs-k t)!ee7 vala!-+t a s%'l(&s !-+&e+"#l el"a+5a#l"at(.



26/48


a Mekk#'a a$ !t)!e> test 5#'s/lsa4

2 Mekk#'a se2ess*'e t/& el5#'s/l+- ! %t !et*tele /t+ a$ !t)!e> test4c 2'$#l/k a$ !t)!e> test se2ess**t *s 5#'s/lst a$ -& 3v*+5*2e+C=.,=. E5 s%'l(&s!e+tes *s el"a+5a#l"at( t)!e> ll(cs-+ tvetett7 +5%t"atatla+ *s

el"a+5a#l"at( t)!e> #+l v*e-'e 176 k *s k t)!e> testeket e's;t3+k7 !a&ele+e&3k a$#kat.


2 Mekk#'a les$ a testek se2ess*e a$ ele+e&*stl s$!;t#tt s !%lva4c Mekk#'a e' es$;t- a cs-t el3es$t #+alat4

=.,6. E5 1 ! "#ss$%7 , ! !aas let tete*+ ele+e&3+k e5 ! t)!e> testet. A testlecs%s$-k a let+. A test *s a let k)$)tt a s%'l(&s- e53tt"at( 0716.a Mekk#'a les$ a test se2ess*e a let al+4

2 Me++5- -& alatt *' a test a let al"#$4=.,


27/48


=.,8. E5 let le!e$2l "al;t#tt7 076 ! s/a'%7 3lees s;k% k)'pl5+ #l5tat(&-k.Mekk#'a " !aass2(l kell ele+e&+3+k a$ ! t)!e> k-cs-+5 testet7 "#5 a test ak)'pl5a 2els el3let*+ v*-"ala+4

=.,?. ;$s$-+tes s;k lap2a %'t l5/k#+ #+alat >$3+k t. A #+l !-+&k*t v**'e ! t)!e>

testet k)t3+k. A$ e5-k test a lap#+ eks$-k7 a !s-k 3leese+ l( leel*7 a$ 2'a

s$e'-+t. Mekk#'a se2ess*el kell a lap#+ l*v testet a #+l'a !e'lees -'+52a+ell)k+-7 "a a #+l as$tal#+ es$3l '*s$e =0 c!7 *s a$t aka'/k7 "#5 a #+l#+ 3test +5/al#!2a+ !a'a+4 A s%'l(&st "a+5a#l/k elC

=.,@. A ?0 k t)!e> "#!#kkal t)lt)tt $sk#t k)t*l v**'e e's;tve -+as$e'>e+el3es$t3k. A$ -+a k)$*pp#+ta l O17? ! tv#ls2a+ va+ a el3es$t*s- p#+tt(l.;$s$-+tes -'+5% se2ess*el a $sk2a l)v3+k e5 !O0 t)!e> l)ve&*ket. Al)ve&*k 2ecsap(&sa /t+ a$ -+a 16QBkal k-le+&3l. Mekk#'a v#lt a l)ve&*kse2ess*e4

=.=0. E5 '/(s e'!*''e 3es$tett cs-+ #+al va+ tvetve7 !el5+ek v*e-'e !1O60

*s !O86 t)!e> testek va++ak akas$tva. Mekk#'a e't ele$ a$ e'!*'7 "a a'e+&s$e't !a'a "a5/k4 A cs-a *s a #+l t)!ee7 vala!-+t a cs-ate+el5s%'l(&sa el"a+5a#l"at(.

=.=1. E5 #+l#+ , k t)!e> "#!#k$sk 3. A "#!#k$sk2a e5 6 t)!e> l)ve&*k"at#l 2e7 v;$s$-+tes -'+5% se2ess*el. A l)ve&*k a $sk2a+ le*ke$&-k7 a $skk-le+&3l7 *s t)!ek)$*pp#+ta 6 c!B'el e!elke&-k. Mekk#'a v#lt a 2ecsap(&s eltt al)ve&*k se2ess*e7 "a a "#!#k$sk t)!ek)$*pp#+t+ak a el3es$t*s- p#+tt(lval( tv#lsa 1 !4



28/48


=.=. A cs%s$&"#$ v;$s$-+tes s$akas$ csatlak#$-k. A cs%s$&a tete*'l e5 ,0 kB#s 5e'ek

cs%s$-k le 1 !9s ke$&se2ess*el. A !#$s #l5a!+ ell*p s%'l(&s- e53tt"at(*'t*ke !-+&e+"#l 071 +a5s%. A let "alss$)e

test va+. A test"e$ #+alat e's;t3+k7 !el5et a let tete*+ l*v cs-+ vet3+k t7 *s av**'e 07< k t)!e> testet e's;t3+k. A 'e+&s$e't e$/t+ !a'a "a5/k.

? K*s$;tette Na5 I+c


29/48


a Mekk#'a a 'e+&s$e' 5#'s/lsa4

2 Mekk#'a les$ a se2ess*e a 07< k t)!e> test+ek 076 ! %t !et*tele /t+4

c M-l5e+ !aasa+ les$ a let+ a 07@ k t)!e> test7 !-k#' e5 p-lla+at'a $*'/ssvl-k a se2ess*e4

=.=6. E5 0 k t)!e>7 10 c! s/a'% t)!)' k#'#+7 s$-!!et'-ate+el5e k)'3l s%'l(&s+*lk3l #'#"at. A ke'3let*+ "at(7 *'-+t -'+5%7 16 N +a5s% e'vel < s -&e-#'at/k a k#'#+#t.a Mekk#'a a k#'#+ s$)5#'s/lsa4

2 +5 #'&/lat#t tes$ !e a k#'#+ a < s alatt4c Me++5- !/+kt v*e$t3+k4

=.= t)!)' *!k#'#+7 a v;$s$-+tes "el5$et>s$-!!et'-ate+el5e k)'3l7 s%'l(&s +*lk3l #'#"at. A k#'#+ ke'3let*'e cs*v*lt #+lv**'e 6 k t)!e> testet akas$t/+k. Mekk#'a a k#'#+ s$)5#'s/lsa4

=.=?. A " !aass% let'l ele+e&3+k e5 : s/a'% )!2)t. Mekk#'a se2ess*el*'ke$-k a )!2 t)!ek)$*pp#+ta a let al"#$7 "a cs%s$s +*lk3l )'&3l4

=.=@. A$ 17 ! t!*'>7 7 "#!#*+ t)!eel#s$ls% t)!)' le+&;tke'*k

#'&/lats$!a 19s. Mekk#'a a ke'*k #'s- e+e'-a4=.60. E5 ke'ekes k%t = c! t!*'> "e+e'*'l lecsava'#&(7 el"a+5a#l"at( t)!e>k)telet lla+&(7 1 N e' "%$. A "e+e'ke'*k a$ -+&/lst(l s$!;t#tt < s alatt = 19ss$)se2ess*'e 5#'s/l el. Mekk#'a a "e+e' te"etetle+s*- +5#!at*ka4

=.61. H;k tala#+ 3leese+ ll(7 ! "#ss$%7 1 k t)!e> e'e+&a %5 &l el7 "#5k)$2e+ a talaal *'-+tke$ p#+ta +5/al#!2a+ !a'a&. Mekk#'a se2ess*el *' atala"#$ a '%& els p#+ta4

=.6. A 0 k t)!e>7 0 c! s/a'%7 v;$s$-+tes "el5$et> t)!)' k#'#+ 3lees te+el5k)'3l s%'l(&s +*lk3l #'# ? 19s lla+&( s$)se2ess*el. A k#'#+ ke'3let*+!1O1 k t)!e> test va+ ')$;tve. Mekk#'a !/+ka '+ le"et a$ ! t)!e> testet a#'ste+el5"e$ 2e"%$+-4

@ K*s$;tette Na5 I+c


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=.6,. A 10 c! s/a'%7 16 k t)!e> t)!)' k#'#+7 a v;$s$-+tes "el5$et>s$-!!et'-ate+el5e k)'3l7 s%'l(&s +*lk3l #'#"at. A k#'#+ ke'3let*+ tvetett #+le5-k v**'e !1O10 k7 a !s-k v**'e !O8 k t)!e> testet 3es$t3+k. Mekk#'aa k#'#+ s$)5#'s/lsa4

". MEREV TESTEK ME!ANIKJA

6.1. E5 +5eles t'csa B a!el5et pl. a vas/tas#k a v#+at -+&;tsak#' "as$+l+ak Bt'cs+ak s/a'a 071 !7 a t'csa s%l5a 076 N,a +5*l "#ss$a 07, !7 s%l5a 07< N. #lva+ a +5eles t'csa t)!ek)$*pp#+ta4

6.. E5e+l #l&al% "'#!s$) cs%csa-2a+ 0 k7 ,0 k7 ,0 k +a5s% p#+ts$e'>t)!eek va++ak. #l va+ e$e+ t)!eek2l ll( 'e+&s$e' s%l5p#+ta 4

6.,. at'#$$/k !e a$ 2'+ lt"at( le!e$-!#k t)!ek)$*pp#+ttC

,0 K*s$;tette Na5 I+c


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6.=. *k#+5 le!e$2l k*s$3lt +*5$et e5-k +e5e&e "-+5$-k. #l va+ a s%l5p#+t46.6. H$!;tssal "at'#$$/k !e a eesv#+al$( t)!ek)$*pp#+ttC

a O 6 c!P 2 O =7? c!P O c!P &1O 07 c!P &O 07@ c!P L O 8< c!6. "#!#*+ )!2 va+. #l va+ e++ek a test+ek a s%l5p#+ta46.8. ?0 c! "#ss$%7 el"a+5a#l"at( s%l5% '%& e5-k v**+ 100 Ns%l5%7 k)$ep*+ *s !s-k

v**+ 60 B 60 Ns%l5% #l5(k va++ak. #l va+ a 'e+&s$e' s%l5p#+ta4

6.?. 076 !*te' "#ss$%7 lla+&( ke'es$t!ets$et> '%& e5-k ele 117, k9&!,

s>'>s*>(l#!2(l7 a !s-k ele 87? k9&!,s>'>s*> vas2(l k*s$3lt. #l va+ a '%& s%l5p#+ta46.@. E5e+letes t)!eel#s$ls% !*te''%& t)!ee 00 . Mel5-k 2e#s$ts+l les$ a

t)!ek)$*pp#+t7 "a a '%& 100 c!B'el el)lt v**'e 60 t)!e> testet akas$t/+k46.10. A$ 2'+ lt"at( test e5 60 c! "#ss$% *s k t)!e> "#!#*+ '%&2(l7 e5 , c!

s/a'% *s 176 k t)!e>7 vala!-+t e5 < c! s/a'% *s 1 k t)!e> #l5(2(l ll. #lva+ a test t)!ek)$*pp#+ta4

6.11. E5e+l #l&al%7 &e'*ks$)> "'#!s$) &e'*ks$)+*l lev cs%cs2a+ 07? k t)!e>7 a!s-k k*t cs%cs2a+ 07=B07= k t)!e> testeket "el5e$t3+k el. A "'#!s$)

2e#(-+ak "#ss$a 10B10 c!. #l va+ a "'#! test t)!ek)$*pp#+ta46.1. El"a+5a#l"at( t)!e>7 e5e+l #l&al% "'#!s$) alak% l*cke'et cs%csa-2a+

!1O07 k7 !O07? k *s !,O07? k t)!e>7 p#+ts$e'> testek va++ak. #l va+ a'e+&s$e' t)!ek)$*pp#+ta7 "a a l*cek , c! "#ss$%ak4

6.1,. E5 10 &! #l&al"#ss$%s%7 +*5$et alak% l*cke'et cs%csa-2a+ 'e+&'e 07 k7 07 k707 k *s k t)!e> testeket "el5e$3+k el. #l va+ a 'e+&s$e' t)!ek)$*pp#+ta4

6.1=. ! "#ss$%7 cs/kl(s al-ta't(t a cs/kl( elett 1 ! !aass2a+ ')$;tett k)t*l ta'tv;$s$-+tes "el5$et2e+. A al-ta't( te"e'2;'sa 1600 N. Mekk#'a te'"el*s'e kell

!*'ete$+- a al-ta't( e5es ele!e-t46.16. A *pk#cs- ve$ete a 07=6 ! t!*'> k#'!+5ke'eket !-+&k*t ke$*vel e5e+le+7100 B 100N e'vel #'ata %57 "#5 a k*t e' e'p't alk#t. Mekk#'a e$ eset2e+ ak#'!+5ke'*k te+el5*'e v#+atk#$( #'at(+5#!at*k4

6.1


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6.18. A$ 2'+ lt"at( ta't(+ G O ?00 Ns%l5% te"e' 3. Mekk#'a e'k "at+ak a '/&ak2a+4A O , ! P A O = !.

6.1?. M*'le"-+ta k*t #l&al+ e5 B e5 =60 N s%l5%5e'ek 3l. E5-k3k , !7 a !s-k/k

176 ! tv#ls'a va+ a #'ste+el5tl.a #v 3l)+ !* e5 testet k*t #+l se;ts**vel7 a$ 2'+ lt"at( !(+ 3es$t3+k el. A$as$tallap#+ ekv test t)!ee !1O 8 k7 a$ as$tal *s a test k)$)tt a s%'l(&s-e53tt"at( 076. Mekk#'a ! t)!e eset*+ va+ e5e+s%l54

6.0. A$ 600N s%l5%7? !*te' "#ss$% '%& e5-k v**+ ev v;$s$-+tes te+el5 k)'3l #'#"at.A '%& !s-k v**+ ,00 N s%l5% te"e' l(. A '/&at v;$s$-+tes "el5$et*2e+ a '%& ,9='*s$*2e+ !ee's;tett7 a v;$s$-+tessel ,00 B #s s$)et 2e$'( k)t*llel ta't/ke5e+s%l52a+. Mekk#'a e'vel kell a k)telet ta'ta+-4

6.1. ,0 N s%l5% '/&at k*t #+llal a$ 2'+ lt"at( !(+ 3es$t3+k el. Mekk#'a e'

es$;t- a #+alakat7 "a @0#

B #s s$)et $'+ak 2e e5!ssal7 *s "#ss$%sa-+ak a'+5a,=4

, K*s$;tette Na5 I+c


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6.. 0 ! s$*less*> /tca elett k-es$;tett &'(tk)t*l k)$ep*+ 1?0 N s%l5% l!pa 3.Mekk#'a e'k "at+ak e5e+s%l5 eset*+ a l!p'a7 "a a k)t*l 2el(sa k)$*pe+076 !4

6.,. A$ 60 N s%l5%7 17=? ! "#ss$% '%& als( v*e v;$s$-+tes te+el5 k)'3l #'#"at 7 elsv*e 3lees t)k*letese+ s-!a al+ak t!as$k#&-k. A te+el5 a alt(l 076 !

tv#ls'a va+. Mekk#'a *s !-l5e+ -'+5% e't et k- a te+el5 a '%&'a7 *s !ekk#'ae'vel +5#!a a '%& a alat46.=. H%l5tala+ '/&at7 a!el5 v;$s$-+tes te+el5 k)'3l #'#"at7 k)t*llel a$ 2'+ lt"at(

!(+ el3es$t3+k. Mekk#'k a '%&2a+ *s a k)t*l2e+ "at( e'k7 "a a '%& v**'eG O 600 N s%l5% testet 3es$t3+k4

6.6. E5 e!2e' 16 k t)!e> te'"et v-s$ %57 "#5 a te'"et alkal!asa+ !evlas$t#tt 2#te5-k v**'e akas$t#tta7 !a& a 2#t#t k)$*pe+ alt!as$t#tta a vllval. A 2#t !s-kv**t ke$*vel #va7 e5e+s%l5t "#$ l*t'e.a Mekk#'a e' +5#!a a$ e!2e' vllt4

2 Mekk#'a a vllt +5#!( e'7 "a a 2#t#t a te"e' el)l- e5"a'!a& "#ss$2a+t!as$ta !e4

6. te"e' 3.A ke'*k 6 #'&/latval ,0 s alatt a te'"et e5e+letese+ el"%$$/k. A ke'*k s/a'a07< !.a Mekk#'a e' kell a ke'*k #'ats"#$4

2 Me++5- a !/+kav*$*s4c Mekk#'a a teles;t!*+54

6.8. E5 k*t#l&al% e!el ka'a- ? c!7 -lletve =0 c! "#ss$%ak. A ')v-&e22 ka''a 3es$tett10 k t)!e> te"e' e!el*sek#' a "#ss$a22 ka''a 6 N +a5s% e'vel kell "at+-.Mekk#'a a$ e!el "ats#ka4

6.?. E5 ,0QB#s "alss$)> let els v**'e 16 c! s/a'% ll(cs-t ')$;tett3+k7a!el5et 86 c! "#ss$% ka''al #'at/+k. A te"e' *s a let k)$)tt a s%'l(&s- e53tt"at(07 7 *s a k)t*l p'"/$a!#s a let s;kval. Mekk#'a a ka' e5e+letes #'ats"#$s$3ks*es e'7 "a a cs-'a cs*v*lt k)t*llel 600 k t)!e> te'"et aka'/+k ele!el+-4

6.@. K*t% l*t'a s$'a- , ! "#ss$%ak *s e5!st(l ! tv#ls2a+ t!as$k#&+ak a)l&'e. A l*t'a tete*+ ?00 N s%l5% e!2e' ll. Mekk#'k a l*t'a s$'a-2a+ "at( e'k4

6.,0. E5 60 k *s e5 =0 k t)!e> 5e'!ek %5 s$e'et+e "-+t$+- a$ 176 ! "#ss$%!*'le"-+t+7 "#5 !-+&kette+ a ka'#k v**+ 3le+ek. #v 3ltess*k a 0 k t)!e>

ts$(t's/kat7 "#5 a "-+ta e5e+s%l52a+ le5e+46.,1. El"a+5a#l"at( t)!e> al-ka''a e5 60 k t)!e> testet e's;t3+k a$ 2'a s$e'-+t-

el'e+&e$*s2e+. Mekk#'a a '/&ak2a+ "at( e'k +a5sa7 "a O


34/48


FO076 N v;$s$-+tes -'+5% e'vel "at/+k7 ;5 a k)t*l a 3leessel 0QB#s s$)et$' 2e. Mekk#'a t)!e> a test4

6.,,. E5 6 k t)!e> testet a$ 2'a s$e'-+t- el'e+&e$*s2e+ e's;te+ek el.

a Mekk#'a e'k "at+ak a '/&ak2a+7 "a O0Q*s a ta't(ka'#k s%l5t(l eltek-+t3+k4

2 Mekk#'a e' "%$$a k-el* a els s$)et a al2(l4c Mekk#'a e' +5#!a 2eel* a$ als( s$)et a al2a4

6.,=. E5 10 k t)!e> l!pa k*t7 e5!st(l 0 ! tv#ls'a l*v7 e5e+l !aass%#s$l#p tete*'e ele's;tett7 +5%t"atatla+ "/$al k)$ep*+ 3. A "/$al 2el(sa 1 !.

,= K*s$;tette Na5 I+c


35/48


a Mekk#'a e' es$;t- a "/$alt42 Mekk#'a 5#'s/lssal es+e le a l!pa7 "a a "/$al#k e5s$e''e s$aka&++ak el7 *s

!e++5- le++e a 2ecsap(&s- se2ess*e7 "a a l!pa e'e&et-le 6 ! !aass2a+3)tt4

6.,6. A , ! "#ss$% #+l k*t v**t v;$s$-+tes e5e+es2e+ ekv7 e5!st(l 76 !B'e l*v

p#+t#k"#$ ')$;t3k. A #+l#+ s%'l(&s +*lk3l )'&3l7 el"a+5a#l"at( t)!e> cs-ate+el5*'e 6 k t)!e> testet 3es$t3+k.

a #l les$ e5e+s%l52a+ a test4

2 Mekk#'a e' es$;t- a$ e5e+s%l5- "el5$et2e+ a #+alat46., '%& als( v**t cs/kl(val ')$;tett3k7 els v**t telese+s-!a7 3lees al"#$ t!as$t#tt/k. A '%& a allal ,0QB#s s$)et $' 2e.



36/48


a Mekk#'a e'vel +5#!a a '%& a alat4

2 Mekk#'a *s !-l5e+ -'+5% e'vel "at a cs/kl( a '%&'a46.,?. A 160 N *s 00 N +a5s%7 p'"/$a!#s e'k "atsv#+ala-+ak tv#lsa !.

Mekk#'a a$ e'k e'e&e7 *s "#l va+ a$ e'e& "atsv#+ala7 "aa a$ e'k e5e+l -'+5%ak4

2 a$ e'k elle+t*tes -'+5%ak46.,@. E5 6 ! "#ss$%7 !e'ev '/&at a k*t v**+ alt!as$t#tt/+k %57 "#5 v;$s$-+tes

"el5$et2e+ va+. A$ e5-k v**tl !B'e 10 k t)!e> te'"et akas$t/+k '. A '%&s%l5t "a+5a#l/k elC Mekk#'a e'vel "at+ak a$ alt!as$ts#k a '%&'a4

6.=0. E5 76 ! "#ss$% '%& e5-k v**+ 0 k t)!e> te"e' l(. A '/&at a !s-k #l&al+7e5!st(l 176 !B'e l*v *kekkel t!as$t/k !e.

Mekk#'a e'kkel "at+ak a '%&'a a t!as$t( *kek4 A '%& s%l5t "a+5a#l/k elC

1.=1. A$ 6 ! "#ss$% !>/'(&es$ka a$ e5-k v**+ *s a v**tl 176 !B'e va+ a ta't(k"#$

')$;tve.

,< K*s$;tette Na5 I+c


37/48


a Mekk#'a *s !-l5e+ -'+5% e'k "at+ak a ')$;t*s- p#+t#k2a+7 "a a &es$ka v;$ )l*+5%l( s$a2a& v**+ e5 test7 !el5+ek "ats'a a 'e+&s$e' e5e+s%l52a+ va+ %57"#5 a #+alak e5!ssal @0QB#s s$)et $'+ak 2e4

2 Mekk#'a a k*t k)t*l'*s$+ek a 3leessel alk#t#tt "alss$)e46.=,. E5 ,00 k t)!e>7 10 ! "#ss$%7 "#!#*+ t)!eel#s$ls%7 "as2 alak% e'e+&a

e5-k v**+7 *s a !s-k v**tl 76 !B'e va+ alt!as$tva. A e'e+&a v**+ te"e' va+. Mekk#'a e'k "at+ak a$ alt!as$ts- p#+t#k'a4

1.==. H%l5tala+ 1 !*te' "#ss$% !e'ev '%& v*e-+ !1 O k *s ! O 76 k t)!e>p#+ts$e'> te'"ek va++ak. A '%& a +a5#22 t)!etl 076 ! tv#ls2a+ lev7 a '%&'a!e'lees te+el5 k)'3l #'#"at. Mekk#'a a 'e+&s$e' te"etetle+s*- +5#!at*ka e''e ate+el5'e v#+atk#$(a+4

6.=6. E5 ta+/l( k*ts$e' el 3leese+ e5 la2&t %57 "#5 !/+kav*$*se !-+&k*t



38/48


eset2e+ a$#+#s. E5-k eset2e+ a la2&a #'# -s e!elke&*s k)$2e+7 a !s-k eset2e++e!. Mel5-k eset2e+ e!elke&-k a la2&a !aasa22'a4

6.=+-k7 *s a k#'#+ e5e+letese+ #'#va s alatt 6 #'&/lat#ttes$ !e. Mekk#'a v#lt a ' "at( #'at(+5#!at*k4

6.60. Mekk#'a lla+&( e't kell a ')$;tett te+el5 k)'3l #'( ? c! s/a'%7 k

t)!e> k#'#+ ke'3let*'e csava't #+l v**'e k-ete+-7 "#5 10 s alatt !"#ss$% #+l csava'#+ le a k#'#+'(l4Me++5-vel vlt#$-k !e e$ alatt a k#'#+ pe'&3lete4

6.61. A '%&'a a talat(l & !aass2a+ !1 t)!e> p#+ts$e'> te'"et e's;t3+k. Mekk#'ase2ess*el csap(&-k a '%& el&l*sek#' a tala"#$ a '%&'a e's;tett test4

!1O !P & O ,

6.6. alss$)> let+ : s/a'%7 ! t)!e> k#'#+ cs%s$s +*lk3l )'&3l. Mekk#'ase2ess*el *'- el a let alt a " !aass2(l le)'&3l k#'#+4

6.6,. alss$)> let+ "l-lletve "!aass2(l e5s$e''e -+&;t/+k : s/a'%7 ! t)!e>#l5(kat. A #l5(k cs%s$s +*lk3l )'&3l+ek. A let alt(l !-l5e+ tv#ls2a+ *'-ke5!st /t#l a #l5(k4

"1 O 110 c! P "O 171 c! P O ,00

1.6=.


39/48


6.6?. 600 k t)!e>7 1 ! t!*'> t)!)' le+&;tke'*k +5/al!- "el5$et2l 10 l9pe'c#'&/lats$!'a 5#'s/l el. Mekk#'a a #'s- e+e'-a4

6.6@. E5 ke'*k 0 19s s$)se2ess*el #'#. A te+el5tl 16 c!B'e l*v &a'a2+akt)!ee 07= k.a H$!;ts/k k- a &a'a2'a "at( ce+t'-petl-s e'tC

2 at'#$$/k !e e &a'a2+ak a te+el5'e v#+atk#$( te"etetle+s*- +5#!at*ktCc Mekk#'a a ce+t'-petl-s e' !/+ka7 !-k)$2e+ a test e5 *l#'&/lat#t tes$ !e4& lt#$-kBe a k-s$e!elt &a'a2+ak a k-+et-k/s e+e'-a a ke'*k #'sa k)$2e+4

6. k)'v#+al !e+t*+ #+l/k e5es;tve7 *s #'&/lats$!a 17 19s4

#. !$LLMMOZGS

1.1. A$ al22- ele+s*ek k)$3l !el5-k2e+ vlt#$-k !e a "/ll!"#ss$a "/ll! v-ss$ave'&*seP

2 "/ll! el"alsaPc "/ll! t)'*se4

le *'-k. A !s-k !e-5el s$e!!elk)vet- a 'ep3l*pet7 *s ;5 a$ el$ ltal !e"at'#$#tt -'++5al ,0 #k#s s$)et

2e$'( -'+52a +*$. Me++5- a 'ep3l*p se2ess*e4 c "a+O ,=0 !9s


40/48


"el5*tl ! tv#ls2a+4


41/48


2ees*s- s$) ,0 #k#s v#lt4s#'#k+l7 5ak'a+ el#'&/lt7 "#5 a +*$t*' e5es "el5e-+3lk a s$;+pa+ el"a+$#tt s$)ve2l s$avakat7 *l!#+&at#kat +e! "all#ttak. E$e++*$k s$!'a a$ ela&s !a&+e! *lve$"etetle++* vlt7 !; a !ellett3k7 !))tt3k7eltt3k 3lk s$e!!el lt"at(a+ k-t>+e+ s$('ak#$tak. #5a+ t)'t*+"etett e$4


42/48


*+5#''ssal !ev-l;t/k7 a +5;ls k*pe as$e!k)$t- al k)$ep*+ = c! te'3let> +*5$et. #l "el5e$ke&-k el a p#+ts$e'>*+5#''s4

8.. E5 6 c! t!*'>7 )!2 alak% *+5#''s el*7 k)$*pp#+tt(l ,0 c! tv#ls'a"el5e$3+k el e5 = c! t!*'> k)'lap#t.a Mekk#'a les$ a k)'lap s;kval p'"/$a!#s7 att(l 0 c! tv#ls'a lev el#(

e'+5+ a teles '+5*k2a+ l*v te'3let t!*'e42 Mekk#'a a *l'+5*k t!*'e4

8.,. A Nap *+5e a l/t('a =0Bs$e' a++5- -& alatt *'ke$-k el7 !-+t a F)l&'e. Mekk#'a al/t(+ak *s a F)l&+ek a Napt(l !*'t tv#lsa7 "a a Nap *+5e 600 s alatt *'ke$-k"#$$+k4

8.=. E5 = . 101= $ 'ekve+c-% *+5 3ve2e+ "ala&. Me++5- a 'ekve+c-a7 te'e&*s-

se2ess*e7 "/ll!"#ss$a7 "a a *+5 vk//!2a+ ,

.

10

?

!9s se2ess*el te'e&7 *s "a a$3ve leve")$ v-s$#+5;t#tt t)'*s!/tat(a 1764

= K*s$;tette Na5 I+c


43/48


8.6. Mekk#'a a leve2e+ a


44/48


teles v-ss$ave'&*s /t+ /t a 2%v' s$e!*2eC8.1?. Mekk#'a a p'-$!a t)'s$)e7 "a a$ e5-k lap'a =?Q,6S s$)2e+ 2ees *+5s/' a

!s-k t)'el3lete+ -'+5vlt#$tats +*lk3l "ala& ke'es$t3l4

8.1@. A =6QB#s t)'s$)>7 176 t)'*s!/tat(% 3vep'-$!a e5-k #l&allap'a es *+5s/' a

!s-k lap#+ s;kt3k)'2e+ lt"ata !attettl talp-4

8.=. A s$e!3+ktl 60 c! tv#ls'a ta't#tt7 10 c! !aas7 3lees s;kt3k)'2e 2ele*'Ua !))tt3+k @ ! tv#ls'a lev #s$l#p k*pe. Mekk#'a a$ #s$l#p !aassa4

8.6. E5 "#!#'% t3k)' (k/s$tv#lsa 16 c!7 *s e5 t'5'(l k*ts$e'es +a5;ts% val(&-k*pet a&. Mekk#'a a t'5 *s a k*ptv#ls4

8.


45/48


8.,,. E5 !2#'% )!2t3k)' )'23let- s/a'a 10 c!. #v "el5e$$3k a t'5at7 "a a$taka'/k7 "#5 a k*p = c! tv#ls'a keletke$$e+ a t3k)'tl4

8.,=. A$ al22- a&at#k alap+ s$!;ts/k k- a "-+5$( k7 N7 K a&at#katC O B 0 c! 7t O ,0 c!7 T O 10 c!. M-l5e+ t3k)''l va+ s$(4

8.,6. E5 t'5at =0 c! tv#ls'a "el5e$3+k el a$ 1 ! s/a'%7 )!2el3let2l k-v#tt

!2#'% t3k)'tl. A t'5 !e'lees a t3k)' #pt-ka- te+el5*'e. Mekk#'a a +a5;ts48.,tle+cs*vel ll;t/k el. a elcse'*l3k

e5!ssal a t'5at *s a$ e'+5t7 akk#' a$ e'e&et-"e$ v-s$#+5;tva a k*p !*'ete-

86 RBkal cs)kke++ek. A t'5 *s a$ e'+5 e5!st(l !*'t tv#lsa @0 c!.a Mekk#'a a le+cse (k/s$tv#lsa42 Mekk#'k a k*pek7 "a a t'5 +a5sa 10 c!4

8.=8. E5 5>tle+cse +a5;tsa +*5s$e'es7 "a a t'5 *s a k*p e5!st(l !*'t tv#lsa86 c!.a Mekk#'a a le+cse (k/s$tv#lsa4

2 +5s$#'#s a +a5;ts7 "a a k*p *s a t'5 e5!st(l 60 c! tv#ls2a+ va+48.=?. E5 2-k#+ve le+cse !-+&k*t )!2el3let*+ek 10 c! a )'23let- s/a'a. Mekk#'a a

le+cse (k/s$tv#lsa7 "a a+5a+ak a leve'e v#+atk#$tat#tt t)'*s!/tat(a 1764

8.=@. K*ts$e' !2#'% le+cse (k/s$tv#lsa ? c!7 a le+cse a+5a+ak t)'*s!/tat(a 176.A$ e5-k )'23let- s/' k*ts$e'ese a !s-k+ak. Mekk#'k a le+cse )'23let- s/a'a-4

=6 K*s$;tette Na5 I+c


46/48


8.60. E5 5>tle+cse e5-k )!2el3let*+ek a s/a'a 10 c!7 a !s-k* 16 c!. A le+cse atle 1< c! tv#l l*v t'5'(l ,Bs$#'#s +a5;ts%7 e'+5+ el#"at( k*pet a&.a Mekk#'a a le+cse a+5a+ak a t)'*s!/tat(a4

2 +5 &-#pt'-s a le+cse48.61. #!#'% le+cse e5-k "at'#l( el3let*+ek )'23let- s/a'a 0 c!7 a !s-k "at'#l(

el3let s;klap. A le+cse a+5a+ak t)'*s!/tat(a 176. +5 &-#pt'-s a le+cse48.6. ve2l k*s$3lt 5>tle+cse !-+&k*t )!2el3let*+ek a )'23let- s/a'a 10 c!.+5s$#'#s'a vlt#$-k a le+cse (k/s$tv#lsa7 "a v;$2e tess$3k4 A$ 3ve

t)'*s!/tat(a

,7 a v;$*

,

=.

8.6,. A t'5 *s a$ e'+5 ')$;tett tv#ls'a va++ak e5!st(l. A k)$*3k "el5e$ett le+csek*t "el5$et2e+ a& *les7 val(&- k*pet. A le+cse k*t "el5$et*+ek a tv#lsa !. A k*tk*p +a5;ts+ak a'+5a =.a +5 &-#pt'-s a le+cse4

2 +5s$#'#sak a +a5;ts#k k3l)+Bk3l)+48.6=. K*t7 !ee5e$ (k/s$tv#ls% 5>tle+cs*t e5!st(l @0 c! tv#ls'a %5

"el5e$3+k el7 "#5 #pt-ka- te+el5e-k e52ees+ek. A le+cs*k k)$)tt- t'5'(lkeletke$ val(&- k*pek tv#lsa 1?0 c!7 a t'5t(l !*'t tv#ls/k pe&-!ee5e$-k. A$ e5-k k*p k*ts$e'es +a5;ts%.a Mekk#'a a le+cs*k (k/s$tv#lsa4

2 #l "el5e$t3k el a t'5at a le+cs*k k)$)tt4c Mekk#'a a k*t k*p +a5;ts+ak a'+5a4

8.66. Mekk#'a 5%t(tv#ls% le+cse a& [ Bs$e'es +a5;tst7 "a a t'5 *s a k*p e5!st(l!*'t tv#lsa @ c!4 Mekk#'a a k*ptv#ls *s a t'5tv#ls4

8.6


47/48


1. /&( #st#+ K;s*'let- -$-ka

Ta+k)+5vk-a&(7 /&apest7 1@8@

. De&e M-kl(s Is$a H+' F-$-ka II.

Ta+k)+5vk-a&(7 /&apest7 1@?

,. D*' J+#s :a&+a- G5/la H#(s K'#l5 F-$-ka- ela&at#k

Ta+k)+5vk-a&(7 /&apest7 1@?8

=. #l-cs Ls$l( F-$-ka

M>s$ak- K)+5vk-a&(7 /&apest7 1@?

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