-
IRTEMINOGIRT )rap e asejp(
1 ajteyP
N k CBA tjerddn C n zunetopih em c tetak ehd mc 5 = a mc 3 = nis
D ths :
)A
)B
)C
)D
2 ajteyP
N k CBA tjerddn C n zunetopih em c tetak ehd mc 5 = a mc 3 = ths
:
)A
)B
)C
)D
3 ajteyP
N k CBA tjerddn C n tetak em ea d 6 = ehd m b d 8 = m ths :
5
3
3
5
4
3
4
5
gt D5
3
4
5
4
3
3
4
soc E
OltiTypewriter
OltiTypewriter
OltiTypewriterB eshte pergjigja e sakte sin=a/h
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriterb=4tg=a/b
OltiTypewriterpergjigja e sakte eshe D
-
)A
)B
)C
)D
4 ajteyP
N k CBA tjerddn C n tetak em ea d 6 = ehd m b d 8 = m ths :
)A
)B
)C
)D
5 ajteyP
N idnk es rehta ,mhsodraf i dnk jn ths :sunis inoisknuf rrem q
tarelv naj talic
)A ]- [1 ;1
)B [- ]1 ;1
)C ]1 ;0[
)D
01
6
6
8
3
5
4
5
gtoc E01
6
3
4
6
01
4
5
[;] ff
OltiTypewriterA pergjigja e sakte
OltiTypewriterhipotenuza eshte 10cmcos=b/h=8/10=4/5
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriterpergjigja e sakte eshte D
OltiTypewriter
OltiTypewritercotgA=b/acotgB=a/b
OltiTypewriter
OltiTypewriter
OltiTypewriter
IDSTypewriter
IDSTypewriter
IDSTypewriter
IDSTypewritersinb=a/ccosb=b/ccotg b=b/a
IDSTypewriter
IDSTypewriterb=8 dma=6 dm
IDSTypewriter
IDSTypewriter
IDSTypewriter
-
6 ajteyP
N idnk es :tnegnat inoisknuf rrem q tarelv naj talic rehta
,mhsodraf i dnk jn ths
)A ]- [1 ;1
)B [- ]1 ;1
)C
)D
7 ajteyP
nis 09( o ) :em trabarab i ths
)A soc 09( o )
)B nis
)C soc
)D 1
8 ajteyP
soc 09( o + ) :em trabarab i ths
)A soc 09( o )
)B - nis
)C soc
)D nis
9 ajteyP
[;0] f[;] ff
OltiTypewriterD pergjigje e sakte
OltiTypewriterC pergjigje e sakte
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriterD pergjigje e sakte
-
81(gt 0o ) :em trabarab i ths
)A - gt
)B nis
)C gtoc
)D gt
01 ajteyP
81(nis 0o + ) :em trabarab i ths
)A nis
)B nis
)C soc
)D gt
11 ajteyP
(nis ) :em trabarab i ths
)A nis
)B nis
)C soc
)D - soc
21 ajteyP
(soc ) :em trabarab i ths
OltiTypewriter
OltiTypewriterpergjigja e sakte eshte A
OltiTypewriter
OltiTypewriterperjigja e sakt eshte A
OltiTypewriter
OltiTypewriterpergjigja e sakte B
-
)A nis
)B nis
)C soc
)D - soc
31 ajteyP
sejherphs e rauthsejht e amroF gt gtoc :ths
)A nis
)B 1
)C soc
)D gt
41 ajteyP
sejherphs e rauthsejht e amroF nis gtoc :ths
)A nis
)B 1
)C soc
)D gtoc
51 ajteyP
sejherphs e rauthsejht e amroF nis 3x soc + 2x nis x :ths
)A nis x
)B - nis x
OltiTypewriterpergjigja e sakte C
OltiTypewriter
OltiTypewriter
OltiTypewriterpergjigja e sakte B
OltiTypewriterpergjigja e sakte eshte C
OltiTypewriter
-
)C soc x
)D 1
61 ajteyP
1( sejherphs e rauthsejht e amroF nis x + 1() nis x) :ths
)A nis x
)B 1 nis x
)C soc 2x
)D 1
71 ajteyP
esN < soc ehd 0> nis itnardauk 0 idnk tehdodn nilic t n
ths :
)A I
)B II
)C III
)D VI
81 ajteyP
esN 0 < gt ehd 0> soc itnardauk idnk tehdodn nilic t n ths
:
)A I
)B II
)C III
)D VI
OltiTypewriterpergjigja e sakte eshte D
OltiTypewriterpergjigja e sakte C
OltiTypewriterB eshte e sakte
OltiTypewriterD eshe e sakte
-
91 ajteyP
esN s ni < oc ehd 0 > gt 0 itnardauk idnk tehdodn nilic t
n ths :
)A I
)B II
)C III
)D VI
02 ajteyP
arelV sejherphs e ths :
)A 2
)B 3
)C 4
)D 5
12 ajteyP
arelV sejherphs e ths :
)A 2
)B - 3
)C -5
)D 5
0000 072toc5040soc309nis2 ggt
0000 09081soc20812072nis3 gtocgt
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriterpegjigja e sakte eshte D
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter-3+0-2+0=-5zgjidhja e sakte C
OltiTypewriter
OltiTypewriterzgjidhja e sakte D
-
22 ajteyP
arelV sejherphs e ths :
)A -2
)B 2
)C -3
)D 4
32 ajteyP
e nmeroet teqarap mizarab iliC mhsodraf t hsdnkert jn n tisunis
:
)A
)B
)C
)D a nis =
42 ajteyP
mhsodraf t hsdnkert jn n tisunisok e nmeroet teqarap mizarab
iliC :
)A
)B
)C
)D
0000 0nis072nis072soc081soc
2nisnisnis
cbaRJED
222 soc2 babac J nis
2Ra
D 222 soc2 babac J 222 bac
2nis
aRD
222 soc2 cbcba D
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter-1+0\-1+0
OltiTypewriter
OltiTypewriterzgjidhja eshte A
OltiTypewriter
OltiTypewriterA eshte e sakte
OltiTypewriterA esht e sakte a2=b2+c22bccos
b2=a2+c22accos
c2=a2+b22abcos
OltiTypewriter
OltiTypewriter
-
52 ajteyP
em trabarab e ths 2soc2nis4 ajherphS :
)A
)B 4soc2
)C 4nis
)D 4nis2
62 ajteyP
arelV sejherphs e ths :
)A 06soc o
)B 1
)C 2
)D 51soc o
72 ajteyP
ces inoisknuF x em trabarab i ths :
)A
)B
)C
)D
82 ajteyP
em tepej tisunis i inoisknuf e arelV :
2 2nis
002 06soc54nis
nis x
soc x
1
nis x
1
soc x
IDSTypewriter
-
)A naidar
)B darg
)C artemitnec
)D tkartsba rmun
92 ajteyP
asaM tidnk e x nimizarab n nis x 94soc = 0 :ths
)A 14 o
)B 94 o
)C 94 o
)D - 14 o
03 ajteyP
asaM tidnk e x nimizarab n 72gt 0 (gtoc = x 9+ 0) :ths
)A 72 o
)B 72 o
)C 94 o
)D 45 o
13 ajteyP
asaM tidnk e x nimizarab n 2(soc x 01 0 2(nis =) x 01+ 0)
:ths
)A 54 o
)B 08 o
OltiTypewriterA eshte e sakte
OltiTypewriter
OltiTypewriter
OltiTypewriterA eshte zgjidhja e sakte
OltiTypewriter
OltiTypewriter
OltiTypewriterpergjigja e sakte eshte D
-
)C 5,22 o
)D - 5,22 o
23 ajteyP
sejherphs e rauthsejht e amroF gt x gtoc + x :ths
)A
)B
)C
)D
33 ajteyP
sejherphs e rauthsejht e amroF :ths
)A
)B
)C
)D
43 ajteyP
socnis
socnis
xx
xx
1
socnis xx 1
nis x
1
socnis xx 11
soc1soc1 xx
soc
soc1
x
x1
nis x
2
1
nis x
2
2
nis x
OltiTypewriter
OltiTypewriterB eshte e sakte
OltiTypewriter
-
sejherphs e rauthsejht e amroF :ths
)A 1
)B
)C
)D
53 ajteyP
V arel nis tinoisknuf e 033 0 ths :
)A -1
)B
)C
)D
63 ajteyP
V arel 51soc tinoisknuf e 00 ths :
)A -1
)B
)C
)D
2)socnis(soc2
nis
xxx
x
1
socnis xx 1
nis x
1
socnis xx 1
21
2
3
21
2
3
2
3
2
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriterB eshte pergjigja e sakte
OltiTypewriter
OltiTypewriter= sin(360-30)= --sin 30 = -1/2
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter= cos (180-30)= -cos30
OltiTypewriter
OltiTypewriterpergjigja e sakte eshte D
OltiTypewriter
-
73 ajteyP
V arel 03gt tinoisknuf e 00 ths :
)A
)B
)C
)D
83 ajteyP
V arel 531gtoc tinoisknuf e 0 ths :
)A 1
)B -1
)C
)D
93 ajteyP
sejherphs e rauthsejht e amroF nis 2x gtoc 2x :ths
)A 1
)B
)C
)D
3
3
3
2
3
3
3
31
socnis xx 2soc x
1
socnis xx
OltiTypewriter
OltiTypewriter
OltiTypewriter= tg(270+30)= -cotg 30
OltiTypewriterpergjigja e sakte eshte C
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
-
04 ajteyP
sejherphs e rauthsejht e amroF ( nis x soc + x gtoc x ) gt x
:ths
)A
)B gt x
)C
)D
14 ajteyP
gtoc kirtemonogirt inoisknuF x ?mhseudhzav i noisknuf ths
)A .jnhtijg ,oP
)B esn ,oP x .tolp i rmun ths
)C rp ,oJ x .evitizop
)D ths arautkac t ednk rp espes ,oJ .tinifni
24 ajteyP
sejherphs e rauthsejht e amroF 09(soc oD nis) D 09( nis + o D
soc) D :ths )A gt x
)B 1
)C nis
)D soc
1
soc x
1
socnis xx 1
nis x
-
34 ajteyP
sejherphs e rauthsejht e amroF gt3 D 09(gtoc + o D ) :ths )A 4
gt
)B gt
)C nis
)D oc gt
44 ajteyP
asaM tidnk e T imizarab q TT socnis2041nis o tetrv i tej t
:ths
)A 04 o
)B 06 o
)C 07 o
)D 08 o
54 ajteyP
asaM tidnk e T imizarab q TTS 22 nissoc6
5soc tetrv i tej t :ths
)A
)B
)C
)D
5
21
S5
4
S21
S5
2
S
-
64 ajteyP
asaM tidnk e T imizarab q T2nis21065soc o tetrv i tej t :ths
)A 002 o
)B 042 o
)C 052 o
)D 082 o
74 ajteyP
tenoisknuf agn yD , soc x gt , x 2nis , x naj tjjn t doirep nak
q :
)A ehd gt x
)B soc x gt ehd x
)C 2nis ehd x
)D 2nis ehd xgt x
84 ajteyP
rP , nis x> soc x n :
)A
)B
)C
)D
nis2
x
nis2
x
nis2
x
[,0]2
xS
[,0]4
S[,0[
4
S],[
24
SS[,]
24
SS
-
94 ajteyP
sejherphs e rauthsejht e atjarT tetrv i tej t :ths
)A nis x
)B soc x
)C 1
)D 0
05 ajteyP
tinoicauke e tejhdijgZ k uk :naj ,Z
)A x )1 + k2( =
)B
)C
)D
15 ajteyP
es tfoq N x ta ,]2 ;0[ nis2 inoicaukeni reh x :niskhsab n tetrv
i ths 1
)A ]2 ;0[
)B
)C
)D ] ;0[
4224 socsocnis2nis xxxx
1)(soc3
xSS
23
kxSS
12kx 2
23
kx
];0[6
S5
];[66
SS
-
25 ajteyP
:ajherphs evitizop jnehs aK
)A
)B
)C
)D
35 ajteyP
e tejhdijgZ soc kirtemonogirt tinoicauke x = - k uk 1 :naj Z
)A
)B
)C
)D
45 ajteyP
sejherphs e arelV :ths
)A 3
)B 4
)C 5
)D 6
011nis011soc oo 32soc32nis oo
033033nis033soc ooo gt511nis511soc oo
32
4kx S S
22
kxSS
2kx SS 0x
nis32soc234
SS
-
55 ajteyP
nis es tfoq N 09 ehd 8,0 = o 081 < < o 2nis rehta ,
:ths
)A - 82,0
)B 82,0
)C - 69,0
)D 69,0
65 ajteyP
notetrv e x tednk agn iliC nis ninoicauke x 81soc = o:
)A 27 o
)B 801 o
)C 72 o
)D 24 o
75 ajteyP
nis ninoicauke rp ejhdijgZ x 06soc2 = o 0 rp x 063 o :ths
)A 09{ o 072 , o}
)B 06{ o 051 , o}
)C 09{ o 081 , o}
)D 09{ o}
85 ajteyP
-
es tfoq N :tetrv e ths alic ,
)A soc < gtoc
)B soc gtoc
)C soc > gtoc
)D soc gtoc
95 ajteyP
n es tfoq N ,CBA 06 = , o 54 = ehd o :ths b ajnirb rehta ,
)A
)B
)C
)D 4
06 ajteyP
esN :ths x2nis4 rehta ,
)A -2
)B 2
)C -4
)D 4
16 ajteyP
) + (nis :em trabarab i ths
)A nis + nis
02
SD
32c 32
23
2
1socnis
2xx
OltiTypewriter
OltiTypewriter
OltiTypewriterpergjigja e sakte D
-
)B nis nis
)C (nis )
)D jerp jnsa eryt
26 ajteyP
tinoicauke t evejhdijgz e aiskhsaB :ths
)A
)B
)C
)D
36 ajteyP
0 rp ,xnis = xgt tinoicauke t evejhdijgz i irmuN 2 x , :ths
)E 0
)F 1
)G 2
)H 3
46 ajteyP
ninoicauke rp ejhdijgZ k rp , :tednk naj Z
)A
nis 13 x }/{ ZkkS
}/2{3
ZkkSS r
}/2{4
ZkkSS r
}/2{3
ZkkSS
socnis0
nis
xx
x
2
kxSS
OltiTypewriterd pergjigje e sakte
OltiTypewriter
OltiTypewritersin(+) = sin() cos() + cos() sin()
OltiTypewriter
OltiTypewriter
OltiTypewriterpergjigja e sakte eshte A
OltiTypewriter
OltiTypewritersinx=0
OltiTypewriter
OltiTypewriter
OltiTypewritertgx=sinxx=0x=pix=2pi
OltiTypewriter
OltiTypewriter
OltiTypewriterD eshte e sakte
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewritercosx=0 A pergjigje e sakte
OltiTypewriter
-
)B x k =
)C x k2 =
)D x )1 + k2( =
56 ajteyP
tinoicauke e ejhdijgZ k rp , :tednk naj Z
)A
)B
)C x k2 =
)D
66 ajteyP
ths mluk n idnk ehd isjn 01 ths erosna ajnirb ,mhsjnjnirbyd
hsdnkert jn N e azaB .:ths tihsdnkert
)A
)B
)C
)D
76 ajteyP
2 ajherphS :em emhsrelvjn e ths xgtx2nis + x2soc
2 socsoc20
soc
xx
x
2
2kx
SS r 2
6kx
SS r 2
23
kxSS r
nis01 Dnis02 Dnis01
2
Dnis02
2
D
OltiTypewriter2cosx+1=02cosx=-1cosx=-1/2
OltiTypewriter
OltiTypewriter
OltiTypewriterpergjigja e sakte D
OltiTypewriterD eshte e sakte
-
)A
)B
)C
)D
86 ajteyP
inoicaukenI :rp tehotetrv
)A
)B
)C
)D eryt jerp jnsa
96 ajteyP
08nis sejherphs e arelV o 053soc o 091nis o 082soc o :ths
)A -1
)B 0
)C 1
)D 2
07 ajteyP
n e tarelV - inoicauke talic rp s xsocn2 :naj ejhdijgz ak kun 0
= 1
2nis D2soc D
2nis2 D2soc2 D
1nis
2x !
522
66kxk
SS SS 2
6kx
SS !2
6kx
SS
OltiTypewriterD eshte e sakte
OltiTypewriter
OltiTypewriter
OltiTypewriterA esht pergjigje e sakte
OltiTypewriter
OltiTypewriter
OltiTypewriter
-
)A
)B |n 2 < |
)C < 0 n 2 <
)D
17 ajteyP
sejherphs e arelV :ths
)A 1
)B 2
)C 3
)D 4
27 ajteyP
esN , 4nis sejherphs e arelv rehta x :ths
)A 1
)B
)C
)D
37 ajteyP
11
22n
1||
2n !
22 08185nis23nis ooo gt
1nissocsoc2soc
6122
xxxx
1
2
1
4
1
8
-
V arel e b- anhd t em nihsdnkert n s c = 5 mc , a = 3 mc , ths
:
)A mc 91
)B 71 mc
)C
)D
47 ajteyP
tidnk e asaM n anhd t em nihsdnkert , b mc 6 = , mc 8 = c ths
:
)A 03 o
)B 06 o
)C 54 o
)D 09 o
57 ajteyP
hterr N ni tadrok nerrem O nkip rdneq em 8 = CB ,6 = BA ehd jG .
ta ais drok e CA sths :
)A
)B
)C
)D 31
67 ajteyP
V rel a e titropar n esn ,CBA ehd , ths :
006E mc 91
mc 91mc 312a
06 oCBA
3131
312
a
b
3nis
4D 2nis
3E
-
)A
)B
)C
)D
77 ajteyP
sejherphs e rauthsejht e amroF :ths
)A
)B gt x
)C
)D
87 ajteyP
V rel a 51nis e o ths :
)A
)B
)C
)D
2
3
9
8
4
3
8
9
1toc
socnisxg
xx
1
soc x
1
socnis xx 1
nis x
26
4
6
4
2
4
1
4
-
97 ajteyP
V rel a e21
7socS
ths :
)A
)B
)C
)D
08 ajteyP
es tfoq N ehd nis x gt ,0 > x :ths
)A
)B
)C
)D
18 ajteyP
tinoicauke sapis istjephs em zivl purt jN . tA reh n, dnokes n ,
tjephs ais
ths :
26
4
6
4
2
4
62
4
3
soc5
x 4
34
3
3
4
3
4
)2(soc52
tyS 3
4
S
-
)A s/m 2
)B 5 s/m
)C 01 s/m
)D 51 s/m
28 ajteyP
es tfoq N ehd 2soc rehta , :ths
)A
)B
)C
)D
38 ajteyP
nis(gol tinoicauke e tejhdijgZ x k uk 0 = ) :naj ,Z
)A x k =
)B
)C
)D
4soc
5x
2
S SD 2
51
2
517
52
7
52
22
kxSS
22
kxSS
2kx
SS r
-
48 ajteyP
sejherphs e arelV :ths
)A 1
)B 2
)C 3
)D 4
58 ajteyP
ninoisknuf rp ehdam e m ehd lgov e m arelV uk x :naj ,R
)A 3 ehd 1
)B 3 ehd 2
)C 4 ehd 3
)D 4 ehd 2
22 227nis81nis oo
2
6
nis2y
x
-
IRTEMONOGIRT )tyd e asejp(
1 ajteyP
ajherphSsoc
nis
gt DD D ths trabarab e :
)E 1
)F 2
2
soc
nis
DD )G cesoc )H gtoc
2 ajteyP
N naj soc ehd gt es vitagen ta , reh k n tehdodn idn nitnardauk
:
)A I )B II )C III )D VI
3 ajteyP
k aS tolp edn njos nimizarab 221
socnis2
DD :
)A 0 )B 1 )C 2 )D jn dufap hsarelv is
4 ajteyP
N tfoq x es ths jn mun ta ,laer r reh temizarab agn ilic kun ths
v i tetr :
OltiTypewriter
OltiTypewriterpergjigja e sakte A
OltiTypewriter
OltiTypewriterC e sakte
OltiTypewriter
OltiTypewriterA eshte e sakte
OltiTypewriter
-
)A (ces - xces = )x )B (gt - = )x - xgt )C + x(nis = ) - xnis )D
jnsa eryt jerp
5 ajteyP
N 0 uk ,xsoc = y tinoisknuf i ukifarg xo nithsob terp e akip as
5 x :
)A 3 )B 4 )C 5 )D 6
6 ajteyP
ajherphS1
)niscra2(soc2
trabarab e ths :
)A 0
)B 1
2
)C 3
2
)D 1
7 ajteyP
N tjerd es k nomrof ,0 > m uk ,xm = y az 03 nidn o sejp em t
evitizop n ta ,xo tithsob reh e arelv m ths :
)A 2
3
)B 3
OltiTypewriter
OltiTypewriterB eshte e sakte
OltiTypewriter
OltiTypewriterC eshte e sakte
OltiTypewriter
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-
)C 3
3
)D 32
8 ajteyP
51soc e arelV o 01soc o 51nis + o 01nis o ths :
)A 5soc o )B 52soc o )C 5nis o )D 52nis o
9 ajteyP
N jn es jnirb k e tidn ths tejt ajnirb ehd xo tithsob e evitizop
asejp em akip agn nolak r
atanidrook43
),(55
ta , reh gt e arelv ths :
)A 2
9
S
)B 2
9
S )C
61
9
S
)D 7
9
S
01 ajteyP
x8nis kirtemonogirt inoisknuF ths trabarab i em :
)A x2nis4 )B x8soc )C x2socx2nis2 )D x4socx4nis2
OltiTypewriter
OltiTypewriter
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OltiTypewriterD e sakte sin2a = 2 sinacosa
OltiTypewriter
-
11 ajteyP
x5nis11 = y tinoisknuf e adoireP ths :
)A 5
S
)B 5S
)C 2
5
S
)D 2
11
S
21 ajteyP
x3gt11 = y tinoisknuf e adoireP ths :
)A 3
S
)B 3S
)C 11
2S )D
2
11
S
31 ajteyP
(nis kirtemonogirt inoisknuF - )x6 ths trabarab i em :
)A x6nis )B x6soc )C x6nis )D - xnis6
OltiTypewriterC e sakte
-
41 ajteyP
sejherphs e arelV4nis
2nis
x
x ths trabarab e em :
)A 1 x21nis )B x21soc + 1 )C x21nis + 1 )D x4nis + 1
51 ajteyP
tinoicauke e ajhdijgZ1
3xgt ths :
)A 3
S ehd
11
6
S
)B 5
6
S ehd
11
6
S
)C 5
3
S ehd
11
6
S
)D 5
3
S ehd
4
3
S
61 ajteyP
x2soc = y tinoisknuf e adoireP ths :
)A 2
S
)B )C 2 )D 3
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
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OltiTypewriter
OltiTypewriter
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-
71 ajteyP
x7(soc = y tinoisknuf e adoireP 5 ) ths :
)A 7
S
)B 2 5
)C 52
7
S
)D 2
7
S
81 ajteyP
P t r sam rutejg k e n n A tidn kert dn t em CBA nihs hd ehd mc
9,7 = CA ,mc 2,5 = CB :tan 101 oB t tehud p terodr :
)A tisunis e ameroeT )B rogatiP e ameroeT s )C tisunisok e
ameroeT )D jnsA eryt jerp
91 ajteyP
N .mc 6 = RP ehd mc 5 = RQ ,mc 3 = QP ,RQP P t r sam rutejg k e
n Q tidn t tehud p terodr :
)A tisunis e ameroeT )B rogatiP e ameroeT s )C tisunisok e
ameroeT )D jnsA eryt jerp
02 ajteyP
N ehd mc 5 = CB ,mc 4 = BA ,CBA 08 oB . P t r tajg rutejg nis CA
e t tehud p terodr :
-
)A tisunis e ameroeT )B rogatiP e ameroeT s )C tisunisok e
ameroeT )D jnsA eryt jerp
12 ajteyP
2nis x ths trabarab i em :
)A 21
xgt
xgt )B
2
21
xgt
xgt )C
1
xgt
xgtoc )D
21
xgtoc
xgt
22 ajteyP
2soc x ths trabarab i em :
)A 21
xgt
xgt )B
2
21
xgt
xgt )C
1
xgt
xgtoc )D
2
1
1 xgt
32 ajteyP
ajherphS 2toc1 xg ths trabarab i em :
OltiTypewriter
-
)A 2
1
nis x
)B 2
1
soc x
)C 2
1
xgt
)D 2nis
xgt
x
42 ajteyP
x2gt ths trabarab i em :
)A 21
xgt
xgt )B
2
2
1
xgt
xgt )C
1
xgt
xgt )D
21
xgt
xgt
52 ajteyP
N naj C ,B ,A es k t edn jn kert dn ta ,ihs reh Anis ths
trabarab i em :
)A )C + B(nis )B )C + B(soc )C )C + B(gt )D 081(nis o )C +
62 ajteyP
soc ajherphS soc ths trabarab e em :
OltiTypewriter
-
)A socnis22
EDED
)B socnis222
EDED
)C nisnis222
EDED )D socnis2
22
EDED
72 ajteyP
socsoc222
EDED ths trabarab i em :
)A soc soc )B soc + soc )C s ni s ni )D s ni soc
82 ajteyP
ajherphS s ni + s ni ths trabarab e em :
)A socnis22
EDED
)B socnis222
EDED
)C nisnis222
EDED )D socnis2
22
EDED
92 ajteyP
-
socnis222
EDED ths trabarab i em :
)A soc soc )B soc + soc )C s ni s ni )D s ni soc
03 ajteyP
ajherphS2soc1
2
x ths trabarab e em :
)A 2nis x )B 2soc x )C xgt )D xces
13 ajteyP
ajherphS 2soc x ths trabarab e em :
)A 2soc1
2
x
)B 2nis x
)C 2soc1
2
x
)D 2nis1
2
x
23 ajteyP
t evejhdijgz i irmuN 0 uk 1,0 = xnis tinoicauke 081 < x o ths
:
)A 0
-
)B 1 )C 2 )D 3
33 ajteyP
t evejhdijgz i irmuN soc tinoicauke = x - 6,0 0 uk 9 < x 0o
ths :
)A 0 )B 1 )C 2 )D 3
43 ajteyP
Z ejhdijg nis tinoicaukeet = x 5,0 0 uk 63 < x 0o naj :
)A 051 ehd 03 )B 012 ehd 03 )C 051 ehd 012 )D 051 ehd 03
53 ajteyP
Z ejhdijg soc tinoicaukeet = x - 5,0 0 uk 63 < x 0o naj :
)A 021 ehd 06 )B 033 ehd 021 )C 042 ehd 021 )D 06 ehd 033
63 ajteyP
+ x3(soc2 = y tinoisknuf e adoireP2
S ) ths :
OltiTypewriterA pergjigje e sakte sepse jemi ne kuadratin e pare
ku cosx>0
OltiTypewriter
-
)A 3
S
)B 6
)C 2
3
)D 2
3
S
73 ajteyP
11 13 nisnis22
ths : )A 51 o )B 03 o )C 54 o )D 09 o
83 ajteyP
k i itnejgnaT t tidn tjerd agn ehd xo tithsob e evitizop asejp
agn raumrof q az n nolak kip em nths )21 ;5( atanidrook :
)A 21
5
)B 5
21
)C 21
5
)D 5
31
93 ajteyP
inoisknuF xgt ths trabarab i em :
-
)A 2
nis
nis1
x
xr
)B 2
1
nis1 xr
)C 2nis1
soc
x
x
)D 2nis1
nis
x
x
ajteyP 04
k i isunisoK t tidn tjerd agn ehd xo tithsob e evitizop asejp
agn raumrof q az n nolak kip em nths )21 ;5( atanidrook :
)A 21
5
)B 31
5
)C 21
5
)D 5
31
ajteyP 14
k i itnakesoK t tidn tjerd agn ehd xo tithsob e evitizop asejp
agn raumrof q az n nolak kip em nths )21 ;5( atanidrook :
)A 21
5
)B 31
21
)C 21
31
)D 5
31
-
ajteyP 24
N es1
nis3
E uk E k thsugn i dn ta , reh gt ths :
)A 2
4
)B 2
2
)C 1
2
)D 2
4
ajteyP 34
033gt e arelV o ths :
)A 3
3
)B 2
2
)C 1
)D 3
3
ajteyP 44
(cesoc e arelV - 522 o ths ) :
)A 3
)B 2
2
)C 1
-
)D 2
ajteyP 54
003nis e arelV o ths :
)A 3
2
)B 2
2
)C 1
)D 3
2
ajteyP 64
K zab i idn s s jn jnirbyd izepart jn hs m ths 54 o nak tazab
ehd tajg .mc 52 ehd 51 istraL ths tizepart e ais :
)A 5 )B 1,5 )C 3,5 )D 2,01
ajteyP 74
N naj C ,B ,A es k t edn jn kert dn ta ,ihs reh nis2
A ths trabarab i em :
)A soc2
CB
)B nis2
CB
)C 2
CBgt
-
)D jnsa eryt jerp
ajteyP 84
N CBAnisnis
nis
BA
B
ths trabarab i em :
)A ba
b
)B ba
b
)C a
b
)D jnsa eryt jerp
ajteyP 94
N CBAnisnis
nis
BA
B
ths trabarab i em :
)A ba
b
)B ba
b
)C a
b
)D jnsa eryt jerp
ajteyP 05
N CBA titropar e arelva
bn , es
3nis
4A ehd 2soc
3B ths trabarab i em :
)A 59
02
-
)B 9
5
)C 5
9
)D 2
ajteyP 15
N es8
soc71
D nis ehd ta ,0 > reh gt ths trabarab i em :
)A 51
8
)B 51
8
)C 8
51
)D 0
ajteyP 25
07(nis o + ) ths trabarab i :em
)A 07(soc o ) + )B 02(nis o ) + )C 02(nis o ) )D 02(soc o )
ajteyP 35
soc gt + nis ths trabarab i :em
)A soc )B nis )C ces )D cesoc
-
ajteyP 45
54(soc o + ) ths trabarab i :em
)A 54(nis o ) + )B 09(nis o ) + )C 54(nis o ) )D 54(soc o )
ajteyP 55
2nis
2soc1
DD ths trabarab i em :
)A gt )B soc )C nis )D jnsa eryt jerp
ajteyP 65
gtoc xxgt ths trabarab i em :
)A 2
2nis x
)B 1
nis x
)C 2
2soc x
)D 2
nis x
ajteyP 75
-
4xgt
S ths trabarab i em :
)A 4
xgtocS
)B 4
xgtS
)C 4
xgtocS
)D nis4
xS
ajteyP 85
N 1102nis = A es o 1102soc = B ehd o ta , reh :
)E 0 > B ehd 0 > A )F 0 < B ehd 0 > A )G 0 > B
ehd 0 < A )H 0 < B ehd 0 < A
ajteyP 95
N es1
nis7
x ta , reh xces ths trabarab i em :
)A 7
6
)B 67
)C 6
7
)D 7
-
ajteyP 06
jN kert dn k hs tjerddn jnirb ak tajg em t tnakes e arelV .mc 31
ehd 21 ,5 is t ti k p tidn llabr jnirb 21 s mc ths trabarab i em
:
)A 31
5
)B 531
)C 21
5
)D 8
5
ajteyP 16
jN kert dn k hs tjerddn jnirb ak tajg em t t titnakes e arelV
.mc 31 ehd 21 ,5 is k p tidn llabr jnirb mc 31 s ths trabarab i em
:
)A 31
5
)B 531
)C 21
5
)D jnsA eryt jerp
ajteyP 26
N es8
7gt D ta , reh nis ths trabarab i em :
)A 7
311
)B 3118
)C 8
311
-
)D 311
7
ajteyP 36
N es nisa
bE 0 ehd o
-
)A 2
9
)B 58
18
)C 97
18
)D 18
97
ajteyP 66
jn i isunisoK k n idn rap e nitnardauk ths t tisunisok e arelV
.82,0 msyjg s s k tidn ths itrabarab em :
)A 41,0 )B 8,0 )C 57,0 )D 6,0
ajteyP 76
1 3)soc(4
gt ths trabarab i em :
)A 73
7
)B 73
)C 74
7
)D 7
4
ajteyP 86
-
kirtemonogirt tinoisknuf e arelV8soc1
2
x ths trabarab e em :
)A 2 4nis x )B 2 4soc x )C 2 4nis2 x )D 2 8nis x
ajteyP 96
N es3
nis5
D , 4soc5
D , 5nis31
E ehd 21soc31
E ta , reh (nis + ) ths trabarab i em :
)A 11
31
)B 4556
)C 65
56
)D 56
65
ajteyP 07
N es8
nis71
D , 51soc71
D , 3nis5
E ehd 4soc5
E ta , reh (soc ) ths trabarab i em :
)A 38
58
)B 4858
)C 1
)D 68
58
-
ajteyP 17
N es5
nis31
D , 21soc31
D , 3nis5
E ehd 4soc5
E ta , reh (soc + ) ths trabarab i em :
)A 23
56
)B 3356
)C 4356
)D 5356
ajteyP 27
N es21
soc31
D ehd 0nis D ta , reh ces ths trabarab i em :
)A 21
31
)B 131
)C 2131
)D 3121
ajteyP 37
N es51
soc71
D ehd 0nis D ta , reh cesoc ths trabarab i em :
)A 1
71
)B 7131
-
)C 718
)D 8
71
ajteyP 47
kirtemonogirt inoisknuF 26soc6nis xx ths trabarab i em :
)A x21soc + 1 )B 1 x21nis )C x21nis + 1 )D soc + 1 x6
ajteyP 57
kirtemonogirt inoisknuF2soc2nis
2cesoc2ces
xx
xx
ths trabarab i em :
)A x4soc x4nis )B x4cesocx4nis )C x2socx2nis )D x2cesocx2soc
ajteyP 67
tinoicauke e tejhdijgZ 2 0socsoc2 DD n naj [2 ;] nilavretni
:
)A 53
},{32
SS
)B 43
},{32
SS
)C 115
},{66
SS
)D 3
},{22
SS
-
ajteyP 77
N ,0 > x es51
socx
E ehd 8nisx
E ta , reh x e arelv - ti ths :
)A 41 )B 51 )C 61 )D 71
ajteyP 87
N CBA 06 oA , 001 oB ehd BA tajG .mc 01 = jnirb e ais CA s ths
:
)A 0001nis01
06nis o
)B 006nis01
001nis o
)C 0001nis01
02nis o
)D jnsa eryt jerp
ajteyP 97
ajherphS3
)(soc2
xS trabarab e ths em :
)A xnis )B - xnis )C xsoc )D - xsoc
ajteyP 08
-
e arelV7
)(cesoc6
S trabarab e ths em :
)A 0 )B 1 )C 2 )D -2
ajteyP 18
N es3
3gt D ehd
-
ajteyP 38
sejherphs e arelV nis2socsoc2nis66
SS SS trabarab e ths em :
)A 32
)B 32
)C 1
2
)D 12
ajteyP 48
ajherphS3
)(nis2
xS trabarab e ths em :
)A xnis )B - xnis )C xsoc )D - xsoc
ajteyP 58
ajherphS xces xnisxgt trabarab e ths em :
)A xnis )B - xnis )C xsoc )D - xsoc
ajteyP 68
ajherphS c so cesoc nis ces e ths em trabarab :
-
)A 2 nis )B ces )C 2 oc 2gt )D 2gt
ajteyP 78
soc ajherphS 4 nis 4 em trabarab e ths :
)A 2 nis )B ces )C oc 2s )D 2nis
ajteyP 88
4nis ajherphS em trabarab e thsx :
)A x2socxsocxnis4 )B xsocxnis2 )C x2socxnis )D 2nis xsocx
ajteyP 98
nis ajherphS em trabarab e thsx2socxnis + x :
)A xsocx2nis2 )B xsocx2nis )C x2socxnis )D 2nis4 xsocx
ajteyP 09
-
ces( ajherphS gt + 1() nis ) em trabarab e ths :
)A nis )B ces )C soc )D cesoc
ajteyP 19
84gt ajherphS o 32gt o 24gt o 76gt o em trabarab e ths :
)A 52,0 )B 5,0 )C 1 )D 5,1
ajteyP 29
N k ehd mc 21 = RP ,mc8 = QP ,RQP sam ak RPQ idn 03 n o kert e
anirpyS . dn tihs e thsem trabarab :
)A mc 81 2 )B mc 42 2 )C mc 84 2 )D mc 63 2
ajteyP 39
N k es kert e tedn dn nak tihs ta ,3:4:5 nitropar reh darg as
ths k m idn :hdam i
)A 04 o )B 54 o )C 57 o )D 09 o
-
ajteyP 49
ajherphS )()(44
gtgtSS DD trabarab e ths em :
)A 1 )B -1 )C gt )D gt2
ajteyP 59
ajherphS (nis (nis + ) + ) trabarab e ths em :
)A nisnis )B - socnis )C socnis2 )D socsoc2
ajteyP 69
soc ajherphS ( ) soc + ( + ) e ths trabarab em :
)A nisnis )B - socnis )C socnis2 )D socsoc2
ajteyP 79
gt sejherphs e arelV 2 cesoc + 2 gtoc 2 ths :
)A nis 2 )B soc 2 )C ces 2
-
)D cesoc 2
ajteyP 89
jn e aita agN dn t m 7 esetr tral jn tehihs netna N .VT netna e
ajam es n tehihs s jn n k dn06 o n jas e azab esruk , jn n k 54 dn
o ta , reh tral netna e ais s ths :
)E 137 )F 137 )G )13(7 )H )17(3
ajteyP 99
57nis e arelV o ths :
)A 26
4
)B 26
4
)C 26
2
)D 26
2
ajteyP 001
591soc e arelV o ths :
)A 26
4
)B
26
4
-
)C 26
2
)D 26
2
ajteyP 101
N ehd mc 9 = b ,mc8 = a ,CBA 021 oC k .RPQ idn c e arelV 2 em
trabarab e ths :
)A 57 )B 491 )C 712 )D 982
ajteyP 201
63xgtxgt
SS ths trabarab i em :
)A -1 )B 0 )C 1 )D 2
ajteyP 301
2nis
2soc1
x
x ths trabarab i em :
)A xnis )B xsoc )C xgt )D xgtoc
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriter
OltiTypewriterpergjigja e sakte esht C,
OltiTypewriter
-
ajteyP 401
2nis
2soc1
x
x ths trabarab i em :
)A xnis )B xsoc )C xgt )D xgtoc
ajteyP 501
gt + gtoc ths trabarab i em :
)A nis2 )B soc2 )C 2cesoc2 )D 2ces2
ajteyP 601
c 2ceso 2gtoc + ths trabarab i em :
)A nis )B soc2 )C gtoc )D ces
ajteyP 701
2 xgtxgt ths trabarab i em :
)A nis
2socsoc
x
xx
OltiTypewriterpergjigja e sakte eshte D
OltiTypewriter
-
)B nis
2soc
x
x
)C 1
2socsoc xx
)D nis
soc
x
x
ajteyP 801
ajherphSsoc1
nis
x
x
ths trabarab e em :
)A nis
soc1
x
x )B
soc1
soc
x
x
)C nis
soc1
x
x )D
soc1
nis
x
x
ajteyP 901
ajherphS )1nis()1cesoc( xx ths trabarab e em :
)A xgtxnis )B xgtxsoc )C xgtocxnis )D xgtocxsoc
ajteyP 011
tinoicauke e tejhdijgZ 2 01nisnis2 DD ] nilavretni n 2 ; 4 naj [
:
-
)E 7131
}3,,{66
SS S )F
77131},,{
266
SSS
)G 7718
},,{263
SSS
)H 777
},,{263
SSS
ajteyP 111
N n es ta ,mc 01 = RP ehd mc 4 = RQ ,mc 8 = QP ,RQP reh Qsoc ths
:
)A 5
61
)B 5
61
)C 61
5
)D 5
11
ajteyP 211
kirtemonogirt inoisknuF3nis13nis1
3nis13nis1
xx
xx
em trabarab i ths :
)A x3gtx3ces2 )B x3cesx6gtoc4 )C x3cesx3gt4 )D 0S x6gtx3ce
ajteyP 311
N x(soc = x3nis es 62 o) x3 ehd ths k thsugn i dn ta , reh x e
arelv - ti ths :
-
)E 92 o )F 03 o )G 23 o )H 43 o
ajteyP 411
kirtemonogirt inoisknuF x01nis + x4nis em trabarab i ths :
)A 2 x3soc x7nis )B x3cesocx7nis )C - x3socx7nis2 )D
x3nisx7soc
ajteyP 511
kirtemonogirt inoisknuF x4nisx01nis2 ths em trabarab i :
)A x6soc x41soc + )B x41xoc x6soc )C x6soc x41soc )D x7soc +
x3soc
ajteyP 611
sejherphs e rauthsejht e atjarT2
23
nisces
tocsocsoc
xxxgt
xgxxce ths :
)A 6xgt )B 1 )C 4xgtoc )D 3soc x
-
ajteyP 711
nejherphs esN )(soc)(nis64
xxSS B e arelv rehta ,xsocB + xnisA ntjart n mjaurkhs e - s
ths :
)A 32
2
)B 31
2
)C 31
2
)D eryt jerp jnsa
811 ajteyP
582gt e arelV o ths :
)A 32
2
)B 31
2
)C 32 )D 32
911 ajteyP
e arelV5
21gt
S ths :
)A 3
2
)B 31
2
)C 32 )D 32
-
021 ajteyP
e ajherphS )(4
gtS D em trabarab e ths :
)A 1
1
gt
gt
DD )B
1
1
gt
gt
DD )C
nis1
gt
DD )D
soc
1 gt
DD
