8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

1/28

r.Er.nan NA@www.dnanuna`.fko

1

YZNFJ@ NRJ]VYJV

OCJNIV@L BAL@YJV

EJNJ@ OAYJOAYL-1 IJ]V

=717-=716 EX INJO@J] BNA@ RJ MYN@JOJ VK]Z@A]D

r.Er.nan NA@

www.dnanuna`.fko

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

2/28

r.Er.nan NA@www.dnanuna`.fko

=

Vnav srjsd 37 ialdlair.

Nkt8 5.vj 3. skru`ar =7 idjr`jrd 17ar puanir. Maar`ar. r.Er.nan NA@

VK]Z@A]

1.

=sdn

( )

=

x

xb x

7

7

x

x

dsj

dsj

bknlsdyknun srjl`d k`up k`oain aratrnz. Vrjl`d

ijd` dsj srjlsdz`dl jdidnd mj`dr`jydndz .

=.= =( ) 9 =`n( 9)

=

xb x x x x bknlsdyknun :x nkltasniald tjjtdndn jdodnd

cjsap`aynz;

6. 9 6 =9 6( ) 1=6 =

b x x x x bknlsdyknunun artan vj aza`an k`iuuara`l`arvj yjrj`

jlstrjouo nklta`arnmu`unuz;

9.ax

y j bknlsdyknu=

= 6 9 7

i y iyy

ix ix ijnl`jodnd sa`aina erj ann a`amd`jfjd

ijjr`jrd mu`unuz;

:.Mdr sanaydfd a`odnyuoian idl iadrjsj` sd`dnidr mddodnij stal 629fo cafodnij

lutu`ar yapoaltair. Jn az a`odnyuo lu``anoas ddn yapafa sd`dnidrdn taman yarap la

fo k`oa`ir mu`unuz;

2.

YZNFJ@ NRJ]VYJV

OCJNIV@L BAL@YJV J@JLY]L-J@JLY]KNL OCJNIV@ M@O

OAYJOAYL-1 IJ]V MYN@JOJVDNARD

61.71.=716

AM

F

x

67 o

:7 o

Mdr rjnfd ijnjy yapoal aoafy`a A nkltasnian

67o uzal`lta M nkltasniald mdr tjpjij kturou vj F

nkltasnian 47 lo/s cz d`j A nkltasna yal`aoalta

k`an trjnd dz`jojltjidr. Yrjn rjnfdyj :7o uzal`ltadljn (jld`-1) trjndn rjnfdyj k`an uzal`nn

ijddodnd mu`unuz;( ( ) 47o MAF idr.)jld`-1

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

3/28

r.Er.nan NA@www.dnanuna`.fko

6

5.Aaiald dodt`jrd @Ckspdta` lura`nian bayia`anaral cjsap`aynz;

a)7

`n(fks )`do

`n(fks )x

ax

mx

,a m m)`n

`dox

xx

j x

j x

3.6

9 6y x x bknlsdyknunun erabddnd trjv yarioy`a dzdndz;

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

4/28

r.Er.nan NA@www.dnanuna`.fko

9

VK]Z@A]

Vnav srjsd 37 ialdlair.

Nkt8 5.vj 3. skru`ar =7 idjr`jrd 17ar puanir. Maar`ar. r.Er.nan NA@

1)

1 1( )

nx

b x x

l

7

7

x

x

dsj

dsj

bknlsdyknu ij srjl`d dsj ly mu`unuz.

=)Aaiald bknlsdykn`arn trjv`jrdnd cjsap`aynz.

a) = = = arfsdnx

y x a x aa

m) 6 = 9`n = 1 ( 9)y x x

6)fks

sdn

x t t

y t t

paraojtrdl ijnl`jod d`j vjrd`jn jrdyj

9t

nkltasnian dzd`jn tjjtdn

ijnl`jodnd mu`unuz;

9) n k`oal zjrj ( )ax mx

n n

j jb x

a m

bknlsdyknu vjrd`dykr. Muna erj (= ) (7)nb ijjrdnd

cjsap`aynz.

:)

YZNFJ@ NRJ]VYJV

OCJNIV@L BAL@YJV J@JLY]L-J@JLY]KNL OCJNIV@ M@O

OAYJOAYL-1 IJ]V BNA@ VDNARD

=6.71.=716

Mdr sanaydfd jld`ijld edmd a`odnyuoian idl iadrjsj` sd`dnidr mddodnij st

al 629fo cafodnij lutu`ar yapoaltair. Jn az a`odnyuo lu``anoas

ddn yapafa sd`dnidrdn taman yarap la fo k`oa`ir;

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

5/28

r.Er.nan NA@www.dnanuna`.fko

:

2)Idbjransdyj` lavraonian bayia`anaral 171 saysnn yal`al ijjrdnd cjsap`aynz.

Mu`iuunuz sknufu cjsap oaldnjsd d`j j`ij jid`jn 171 17,794 ijjrd d`j lar`atraral

catay cjsap`aynz;

5)1 1

`do

x

xx

jx

`dodtdnd cjsap`aynz.

3)=

= =

1

x xy

x

bknlsdyknun erabddnd trjv yarioy`a dzdndz.

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

6/28

r.Er.nan NA@www.dnanuna`.fko

2

1. =. 6. 9. :. 2. 5. 3. 4. YKW@AO

YZNFJ@ NRJ]VYJV

OCJNIV@L BAL@YJV OALNJ RJ HJK@KH OCJNIV@ M@O@J]

OAYJOAYL-1 IJ]V MYN@JOJVDNARD

19.7=.=71=

NZOA]AVD8 AID-VKTAID8

VK]Z@A]

1.

jl`dnij tano`anan bknlsdyknu srjl`d dsj latr

=. Mdr pk`dnkou d`j tao m`njmd`iddnij ir. Muna erj pk`dnkounun d`j tao m`njmd`ojsd ddn a vj m njk`oa`ir;

6.

9. Iadrjsj` ojta` mdr tamal mdr brnia st`inia,yarap 7.71 / .fo ial cz`a artoaltair. Muna erjtaman yarap :7fo k`iuunia a`annn nj krania artafan cjsap`aynz;

:.

Ijsfartjsdn bk`yuou k`aral md`dnjn vj 6 6 4 7x y xy k`an

jld`ijld jrdndn (9,=) nkltasniald tjjt vj nkroa`

ijnl`jo`jrdnd mu`unuz;

jld`ij estjrd`idd edmd taman uzun`uu =7 mdrdo k`an mdr

k`ul yap`afaltr. Mdrmdrdnj para`j` k`an dld yz, jdt ljnar

uzun`ul`ar vj st taman uzun`uu 1 mdrdo k`an dldzljnar

yaoultur. Caned ijjrd mu k`uun cafodndoalsdouo yapar cjsap`aynz;

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

7/28

r.Er.nan NA@www.dnanuna`.fko

5

2.Aaiald dodt`jrd cjsap`aynz;

a) m)

5. Aaiald dntjera``jrd cjsap`aynz;

a) m)

3. ma`ane ijjr

prkm`jodnd znz.

4. bknlsdyknun erabddnd trjv yarioy`a dzdndz;

Nkt8

Vnav srjsd 2: ialdlair.

4.skru =7 puan idjr`jrd 17ar puanir.

MAA]D@A]

r. Er. nan NA@

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

8/28

r.Er.nan NA@www.dnanuna`.fko

3

1. =. 6. 9. :. 2. 5. 3. 4. YKW@AO

YZNFJ@ NRJ]VYJV

OCJNIV@L BAL@YJV OALNJ RJ HJK@KH OCJNIV@ M@O@J]

OAYJOAYL-1 IJ]V BNA@ VDNARD

67.71.=71=

NZOA]AVD8 AID-VKTAID8

VK]Z@A]

1.

= 6 1, 1

( ) 1

ox xx

b x x

n

bknlsdyknunun nkltasnia srjl`d k`oas ddn vj ijjr`jrdndn nj k`oas ejrjltddnd mu`unuz;

=. Aaia vjrd`jn bknlsdykn`ar ddn d cjsap`aynz;a) m)

6. Aaiald bknlsdykn`arn lar`arnia yaz` nklta`ariald tjjt ijnl`jo`jrdnd mu`unuz.

a) m)

9.

, 1x

Mdr ma`kn iz mdr yk`un zjrdnij idl k`aral 1 o/sn samdt cz`a

ylsj`ojltjidr. Ma`kn yjrijn tao 2: o ylsjl`dltjyljn,

a`tnian 15 o/sn cz`a mdr mdsdl`jt ejojltjidr. Mdsdl`jt`j

ma`kn arasniald ojsabj 6 sn sknra nj cz`a artar mu`unuz;

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

9/28

r.Er.nan NA@www.dnanuna`.fko

4

2. Aaiald `dodt`jrd cjsap`aynz;

a) m)

5.a`tnz ijodr bamrdlas mdr lt bamrdlas d`j :77 o6 cafodnij , larj taman`, st al

idlirtejn`jr prdzoas jl`dnij j`dl mdr tanl yapoal ddn an`aotr. Yanl pas`anoaz j`dl

tamala`arn ljnar`arnian mdrmdr`jrdnj `jcdo`jnojsdy`j yap`afaltr. rjtdo ocjnidsd k`aral ddndz

tanln k`amd`iddnfj cabdb ar`lta k`oasn sa`ayafal taman vj ylsjl`dl mkyut`arn mu`oaltr.

Bamrdlaya lu``ano`ar ddn caned mkyut`ar md`idrjfjdndzd al`aynz;

3. ma`ane ijjrprkm`jodnd znz.

4. bknlsdyknun erabddnd dzdndz;

Nkt8

Vnav srjsd 5: ialdlair.

4.skru =7 puan idjr`jrd 17ar puanir.

MAA]D@A]

r.Er.nan NA@

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

10/28

r.Er.nan NA@www.dnanuna`.fko

17

1.

bknlsdyknu tano`anykr.Muna erj

ijnl`jodndn zo lojsdnd mu`unuz;

=. bknlsdyknun trjvd var vj trjv bknlsdyknu srjl`dk`iuuna erj A vj M say`arn mu`unuz;

6.Aaiald dodt`jrd cjsap`aynz.

a)

m)

9.Aaiald bknlsdykn`arn trjv`jrdnd mu`unuz.

a) m) :.

dbaijsdnijn trjvdnd cjsap`aynz;2. ddn k`iuunu estjrdndz.5.Mj``d mdr d`afn jtldsdnij tutu`an mdr maltjrd tkp`u`uunun ej`ddo bknlsdyknu ,

saat k`aral zaoan, ij

sayy estjrojl zjrj

`j vjrd`dykr.Muna erj

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

11/28

r.Er.nan NA@www.dnanuna`.fko

11

VK]Z@A]

AID-VKTAID8 NK8 OXA8 1. =.

OCJNIV@L BAL@YJV

HJK@KH OCJNIV@ M@O EJNJ@ OAYJOAYL-1 IJ]V =717-=711 EX INJO MYN@JOJ VDNARD15.7=.=711

1. , bknlsdyknu vjrd`dykr.Muna erj bknlsdyknunun erabddnd dzdndz;

=.

bknlsdyknu ij srjl`d dsj latr;

6.Aaiald dodt`jrd cjsap`aynz;

a) m)

9. Aaiald mant`arian trjv`jrdnd cjsap`aynz.a)

m)

:. k`iuunia erj y mu`unuz;

2. jrdsdndn nkltasniald tjjt vj nkroa` ijnl`jo`jrdnd mu`unuz;

5.

bknlsdyknunun

ojrtjmjijn trjvdnd mu`unuz.

3.Aaiald dodt`jrd cjsap`aynz.

a) m) 4. Cdpktjns uzun`uu mdrdo k`an mdr idl ejndn a`an jn baz`a la idr.17. Mdr

pk`dnkou

d`j tao m`njmd`iddnij

ir. Muna erj pk`dnkounun d`j tao m`njmd`ojsd ddn a vj m nj k`oa`ir;MAA]D@A]

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

12/28

r.Er.nan NA@www.dnanuna`.fko

1=

VK]Z@A]

AID-VKTAID8 NK8 OXA8 1. =.

1. ld ljsd paramk` zjrdnij idjr dld ljsd zjrdnij k`an mdr idlirtejndnljejn uzun`uunu ljnarnn mdr bknlsdyknu k`aral yaznz;

=. aaiald dodt`jrd cjsap`aynz.

a) m) 6.

bknlsdyknunun cjr yjrij srjl`d k`amd`ojsd ddn a vj m nj

k`oa`ir.

9.Aaiald mant`arian trjv`jrdn cjsap`aynz;a) m)

:. bknlsdyknunun nkltasniald trjvdnd mu`unuz;2.Aaiald bknlsdykn`arn lar`arnia yaz` nklta`ariald tjjt vj nkroa` ijnl`jo`jrdnd mu`unuz;

a) m) 5. bknlsdyknunun ojrtjmjijn trjvdnd mu`unuz;3. ddn

k`iuunu estjrdndz.

4.Cdpktjnz uzun`uu mdrdo k`an mdr idl ejn idl ljnar`arnian mdrd jtrabnia inir`ykr.Ojyianaej`jn iadrjsj` lkndndn cafod jn baz`a la k`ur;17. bknlsdyknunun erabddnd dzdndz;

V]J 5: IALLAID]. CJ] VK]ZNZN WZAN IJJ] JYY].

MAA]D@A].

r.Er.nan NA@

OCJNIV@L BAL@YJV

EDIA OCJNIV@ M@O YMO 171 OAYJOAYL-1 IJ]V =717-=711 EX INJO MYN@JOJ VDNARD13.7=.=711

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

13/28

r.Er.nan NA@www.dnanuna`.fko

16

1. bknlsdykn`ar tano`anykr.bknlsdyknunumu`unuz vj tano lojsdnd mj`dr`jydp erabddnd dzdndz.

=. Vanijvd tjkrjodnd lu``anaral `dodtdnd cjsap`aynz.6.

bknlsdyknu cjr ddn trjv`jnjmd`dr k`iuuna erj latr;

9.Aaia vjrd`jn mant`arian trjvdnd mu`unuz.a) m) :. jl`dnij tano`anan bknlsdyknunun nkltasniald trjvdnd mu`unuz.2. ddn trjvdnd cjsap`aynz.

5. bknlsdyknunu artan vj aza`an k`iuu ara`l`ar vj yjrj` jlstrjouo nklta`arnmu`unuz.3.Aaiald `dodt`jrd cjsap`aynz.

a) m) 4.Mdr sanaydfd a`odnyuoian idl iadrjsj` sd`dnidr jl`dnij st al cafodnij lutu`ar yapoaltair.Jn aza`dodnyuo lu``anoas ddn yapafa sd`dnidrdn taman yarap la k`oa`ir;17.

vj

jrd`jrd idl ljsdtdl`jrdnj erj

latr;

jrdsdnj mu jrdndn x-jlsjndnd ljstdd nkltaian dzd`jn tjjt vj nkroa` ijnl`jo`jrdndmu`unuz.

Cjr skrunun puan ijjrd jdttdr. Mknus skrusu 17 puan ijjrdnijidr.

Vnav srjsd 47 ialdlair.

OCJNIV@L BAL@YJV

OALNA OCJNIV@ M@O YMO 175 OAYJOAYL-1 IJ]V =717-=711 EX INJO BNA@=4.71.=711

VK]Z@A]

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14/28

r.Er.nan NA@www.dnanuna`.fko

19

VK]Z-1 bknlsdyknun jn ejnd tano lojsdnd mu`unuz.=.VK]Z8 Aaiald `dodt`jrd cjsap`aynz;

a) m) 6.VK]Z8

bknlsdyknu cjr yjrij srjl`d k`iuunaerj latr;

9.VK]Z8Aaia vjrd`jn mant`arian

trjvdnd mu`unuz.

a) m) f) i) j) :.VK]Z8

a) m) ,

2.VK]Z8 bknlsdykn`arn trjv`jrdnd mu`unuz.5.VK]Z8 bknlsdyknunu artan vj aza`an k`iuu ara`l`ar vj yjrj` jlstrjouonklta`arn mu`unuz.

3.VK]Z8Aaiald `dodt`jrd cjsap`aynz.

a) m) 4.VK]Z Cdpktjns uzun`uu k`an mdr idl ejn idl ljnar`arnia mdrd jtrabnia iirr`ykr.Ojyiana ej`jn fdsodn cafod jn baz`a la k`ur;17.VK]Z8

jrdsdndn nkltasniald tjjtdndn jdodnd mu`unuz.

YZNFJ@ NRJ]VYJV OCJNIV@L BAL@YJV

HJK@KHOCJNIV@ M@O YMO 171 OAYJOAYL-1 IJ]V =717-=711 EX INJO BNA@76.7=.=711

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

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r.Er.nan NA@www.dnanuna`.fko

1:

VK]Z-1 bknlsdykn`artano`anykr.

bknlsdyknunu mu`unuz vj tano lojsdnd mj`dr`jydp erabddnd dzdndz.

=.VK]Z8 Vanivd tjkrjodnd lu``anaral `dodtdnd cjsap`aynz.6.VK]Z8

bknlsdyknu cjr ddn trjv`jnjmd`dr k`iuuna erj

latr;9.VK]Z8Aaia vjrd`jn mant`arian trjvdnd mu`unuz.a) m)

:.VK]Z8 jl`dnij tano`anan bknlsdyknunun nkltasniald trjvdnd mu`unuz.

2.VK]Z8

ddn

trjvdnd cjsap`aynz.

5.VK]Z8 bknlsdyknunu artan vj aza`an k`iuu ara`l`ar vj yjrj`jlstrjouo nklta`arn mu`unuz.

3.VK]Z8Aaiald `dodt`jrd cjsap`aynz.

a)

m)

4.VK]Z8 Mdr sanaydfd a`odnyuoian idl iadrjsj` sd`dnidr jl`dnij st al 29 cafodnij lutu`aryapoaltair. Jn az a`dodnyuo lu``anoas ddn yapafa sd`dnidrdn taman yarap la k`oa`ir;17.VK]Z8. jrdsdndn erabddnd dzdndz

jrdsdnj mu jrdndn x-jlsjndnd ljstdd nkltaian dzd`jn tjjt vj nkroa`ijnl`jo`jrdnd mu`unuz

YZNFJ@ NRJ]VYJV OCJNIV@L BAL@YJV

EDIA OCJNIV@ M@O YMO 171 OAYJOAYL-1 IJ]V =717-=711 EX INJO BNA@=4.71.=711

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

16/28

r.Er.nan NA@ www.dnanuna`.fko

1

YZNFJ@NRJ]VYJV

OCJNIV@L BAL@YJV

EJNJ@ OAYJOAYL-1 IJ]V

=717-=716 EX INJO@J]A]AVDNAR VK]Z@A]D

r.Er.nan NA@

www.dnanuna`.fko

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

17/28

r.Er.nan NA@ www.dnanuna`.fko

=

1. Aaiald bknlsdykn`arn jn ejnd tano loj`jrdnd mu`unuz;

a)=

=

6 17( ) `n

2

x xb x

x

m)

=.6

sdnc9

x dsj tanc fktcx x dbaijsdndn jdtdnd mu`unuz;

6.

= 1

( ) sen

x

x

b x x

j

7

7 1

1

x

x

x

dsj

dsj

dsj

mddodnij tano`anan 8b bknlsdyknunun

erabddnd dzdndz.

9.Aaia vjrd`jn `dodt`jrd cjsap`aynz. (@Ckspdta` lura`n lu``anoaynz!)

a)= 6

7

fks 6sdn`dox

x x x x

x m)

= 6: 5

6 =

9 1=77 =5 11`do :

= 11 6 = 11 1

x

x

x x x x

x x x x

f)=

`dox

i) = =`do 9 9x x x j)=

`do(sdn = .sjf )x

x x

:. Yrjvd tano`aynz vj mu tanoian yarar`anaral ( ) sdnb x x bknlsdyknunun trjvdnd

mu`unuz;

YZNFJ@ NRJ]VYJV

OCJNIV@L BAL@YJV J@JLY]L-J@JLY]KNL OCJNIV@ M@O

OAYJOAYL-1 IJ]V OAXJ]JY VDNARD

=:.1=.=71=

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18/28

r.Er.nan NA@ www.dnanuna`.fko

6

2.

=fks

( ) fks

sdn

x

b x a x m

x

7

7

x

x

x

dsj

dsj

dsj

bknlsdyknun cjr yjrij srjl`d k`oas ddn a vj m nj

k`oa`ir;

5.= 9 =

6

(tan 1)(tan 17 tan 1

6tan

x x xy

x

bknlsdyknunun trjvdnd mu`unuz;

3.@keardtoa zj``dl`jrdnijn yarar`anaral

5= 6 6

9: 1 .( =)( )

( :)x x xb x

x

bknlsdyknun trjvdnd

cjsap`aynz;

Maar`ar .

r.Er.nan NA@

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

19/28

r.Er.nan NA@ www.dnanuna`.fko

9

YZNFJ@ NRJ]VYJV

OCJNIV@L BAL@YJVJ@JLY]L-J@JLY]KNL OCJNIV@ M@O

OAYJOAYL-1 IJ]V A]AVDNARD

=5.11.=71=

1.Aaia vjrd`jn bknlsdykn`arn jn ejnd tano loj`jrdnd mu`unuz; (17)

a)=

6

6 =( )

x xb x

x

m)

=

= 1

1 sen( 1)( ) `n( 1)

x

x xb x j j

=. =sdnc 6fksc 6x x ijnl`jodndn zo lojsdnd mu`unuz;(17)

6. ( ) sdnc 6fksc xb x x x j , =( ) (= )e x sne x + + 1x vj ( ) arfsdn =arftanc x x x bknlsdykn`ar vjrd`dykr. Muna erj

6(`n =) ( ) (1)

=b e c d`jodndn sknufunu cjsap`ayaral yaznz; (17)

9.Aaia vjrd`jn dodt`jrd cjsap`aynz; (1:) (@Ckspdta` Lura`n Lu``anoaynz!)

a) ==

= sen 9`dox

x x

m)6

7

sdn sdn

6`do

x

x x

x

f)

= 6=

=

= 6

=`dox

x

x x

x

:.Aaiald dodt`jrijn cjrcaned mdrdndsjjrjl cjsap`aynz;(17) (@Ckspdta` Lura`n Lu``anoaynz!)a) = 6 1`do

x

x x x

m)

9

tan = (tan 1)`dox

x x

f)9

6 9

: 12 2`do

x

x x

x

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:

3. f k`oal zjrj ( )b x f bknlsdyknunun trjvdnd trjv tanonian yarar`anaral cjsap`aynz;(17)

4.Yrjv vj srjl`d`dl arasniald d`dldyd al`aynz. =

( ) sen 9b x x bknlsdyknun =x nkltasniatrjvd var oir; Njijn; Erabddnd dzjrjl estjrdndz.(17)

Vnav Lura``ar8

Vnav srjsd 5: ialdlair.

zo`jrdndzd< klunal`, an`a`r vj izjn`d mdr mddoij zo lat`arnayapnz.

Vkru lat`arn snavian sknra a`amd`drsdndz.

Maar`arr.Er.nan NA@

2. 8 6,6 , ( )b b x bknlsdyknunun erabddnd dzdndz vj `dodt`d k`oai nklta`arlojsdnd mu`unuz;(1:)

5. 8 ,b

sdn=

( )

6

6

x

x

b x o

x n

x

7

7

7

x

x

x

dsj

dsj

dsj

mddodnij tano` ( )b x bknlsdyknu cjr x ddn srjl`d

dsj o n yd cjsap`aynz; (17)

Vnav skru`arnn zo`jrdnj vj ayrnt` puan`aniroaya snavian 1 saat sknrawww.dnanuna`.fko

airjsdnij u`aamd`drsdndz.

http://www.inanunal.com/http://www.inanunal.com/http://www.inanunal.com/http://www.inanunal.com/

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2

A)Aaia vjrd`jn dbaij`jrd idllat`j kluyunuz. Ikru k`iuunu ininz dbaij`jr ddn Ivj

yan` k`iuunu ininz dbaij`jr ddnTcarb`jrdnd darjt`jydndz. Fjvamnz callnia al`aoa

yapoanza ejrjl ykltur. (Cjr mdr ikru yant 1 puan)

1. ( ) Wk`dnko bknlsdyknunun cjr nkltaia `dodtd ojvfuttur.

=. ( ) Mdr nkltaia srjl`d k`an dld bknlsdyknun tkp`ao ia mu nkltaiasrjl`didr.

6. ( ) Mdr bknlsdyknun mdr nkltaia sa vjya sk` `dodt`jrdnijn mdrd sknsuz dsj la`ir`amd`drsrjlsdz`dl varir.

9. ( ) Mdr bknlsdyknun mdr nkltaiald ijddo kranna bknlsdyknun mu nkltaiald trjvd

ijndr.:. ( ) u vj v trjv`jnjmd`dr dld bknlsdykn dsj ( )i iu ivu vix ix ix

idr.

2. ( ) Mdr bknlsdyknun mdr nkltaiald saian `dodtd sk`ian `dodtdnijn barl` dsj bknlsdyknunmu nkltaia `dodt ykltur.

5. ( ) Yrjv`jnjmd`dr mdr bknlsdykn trjv`d k`iuu mdr nkltaia srjl`d k`oayamd`dr.

3. ( ) 8b A M bknlsdyknu vjrd`sdn. f A ddn '( ) 7b f dsj bknlsdyknun f nkltasnia

mdr yjrj` jlstrjouou varir.4. ( ) ]asyknj` mdr bknlsdyknun payiasn sbr yapan nkltaia ijy asdoptkt varir.

17. ( ) Mdr bknlsdyknun mdrdnfd trjvdnd sbr yapan nkltaia bknlsdyknun a`i ijjrj mubknlsdyknun

M) Aaiald skru`ar yant`aynz. Tant`arnz vjrd`jn mk`ua yaznz.(Cjr mdr ikru yant :

puan)

1. Vrjlsdz`dl jdt`jrdnd yaznz.Mdr nkltaia srjl`d`dl d`j mdr loj zjrdnij srjl`d`dl

lavrao`arn al`aynz.Mdr rnjl vjrdndz.

=.@dnjjrdzasykn nj ijojltdr vj mdzj nj bayia sa`ar al`aynz. 6( )b x x x

bknlsdyknunun =x nkltasniald `dnjjrdzasyknunu mu`unuz.

6.Tjrj` jlstrjouo vj out`al jlstrjouo arasniald barl al`aynz.

YZNFJ@ NRJ]VYJV

OCJNIV@L BAL@YJV OALNJ OCJNIV@ M@O OAYJOAYL-1 IJ]V OAXJ]JY VDNARD

13.71.=71=

Vnav srjsd 5: ialdlair.

Cjr skrunun puan ijjrd mj`drtd`odtdr.

Vnav srjsdnfj ldtap, ijbtjr, cjsap oaldnjsd, md`edsayar vm. lu``an`oas yasaltr.

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r.Er.nan NA@ www.dnanuna`.fko

5

1. Aaiald bknlsdykn`arn tano loj`jrdnd mu`unuz; (17p)

a)=

6 =

=:( )

2

xb t

x x x

m)

= 6( )

= 1

xe x

x

=.Cafod =7 k`an mdr sd`dnidr yap`afaltr.Lu``an`afal oa`zjoj odltarn sd`dnidrdn tamanyarap k`an rndn mdr bknlsdyknu k`aral yaznz;(17p)

6.Aaiald bknlsdykn`arn erabdl`jrdnd dzdndz.(17p)

a)

9( )

=

xb x

m) 9y x

9.Aaiald `dodt`jrd cjsap`aynz.(17p)

a)=

= =

6 sdn = sdn`dox

x x x

x

m)

:.= 6 1( ) 6 1, ( )

xb u u u x

x

vj =( ) 6 :x t t dsj

ib

ityd mu`unuz; (17p)

2.6 =6 6y x x x bknlsdyknunun artan vj aza`an k`iuu ara`l`ar, jlstrjouo nklta`arn,

lknlav vj lknvjls k`iuu ara`l`ar d`j mlo nkltasn cjsap`aynz; (17p)

5.= 1

( ) x

b xx

bknlsdyknunun erabddnd trjv yarioy`a dzdndz;(1:p)

Maar`ar.

r.Er.nan na`

F)Aaiald prkm`jo`jrd zo`jydndz.

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3

A)Aaia vjrd`jn dbaij`jrd idllat`j kluyunuz. Ikru k`iuunu ininz dbaij`jr ddn Ivj

yan` k`iuunu ininz dbaij`jr ddn Tcarb`jrdnd darjt`jydndz. Fjvamnz callnia al`aoa

yapoanza ejrjl ykltur. (Cjr mdr ikru yant 1 puan)

1. ( ) Cjr bknlsdykn mdr mantir anfal cjr mant mdr bknlsdykn ijd`idr.

=. ( ) Mdr mantnn erabddndn para`j` ikru`ar`a ljsddod mk lojijn barl`dsj erabdl mdr bknlsdykn erabdd k`ur.

6. ( )

bknlsdyknun tano lojsd

, e bknlsdyknunun tano lojsd M dsj

bknlsdyknunun tano lojsd A M idr.9. ( ) Wk`dnko bknlsdyknun tano lojsd idr.

:. ( ) Mdr bknlsdykn mdr nkltaia tano` dsj k nkltaia `dodtd varir.

2. ( ) Mdr bknlsdyknun mdr nkltaiald saian `dodtd sk`ian `dodtdnijn barl` dsj bknlsdyknun munkltaia `dodt ykltur.

5. ( ) Vrjl`d mdr bknlsdyknun srjl`d k`iuu cjr nkltaia `dodtd k`oayamd`dr.

3. ( ) Mdr bknlsdykn mdr nkltaia tano`, `dodtd ojvfut balat `dodt bknlsdyknun k nkltaialdijjrdnijn barl` dsj sraoa srjlsdz`dd varir.

4. ( ) Yrjv`jnjmd`jn cjr bknlsdykn srjl`didr.

17. ( ) Mdr carjljt`dndn lknuo ijnl`jodndn zaoana erj dldnfd trjvd sd`ldnojyd vjrdr.

M) Aaiald skru`ar yant`aynz. Tant`arnz vjrd`jn mk`ua yaznz.(Cjr mdr ikru yant: puan)

1. Bknlsdykn njidr; jvrjodzij ojyiana ej`jn k`ay`ar mdrjr bknlsdykn k`aral dbaij jid`jmd`dr

od; Fjvamnz jvjt dsj mdr rnjl vjrdndz.

=.Mdr bknlsdyknun mdr nkltaiald `dodtdnd ljnid fo`j`jrdndz`j dbaij jidndz. @dodt lavrao njijnnjo`didr; Vdns vj fksdns bknlsdykn`arnn njijn sknsuzia `dodt`jrd ykltur;

6.Yrjv nj ijojltdr; Mdr ocjnids ddn trjv lavrao njijn njo`didr; Yrjvdn

uyeu`aoa`arna rnjl vjrdndz.

YZNFJ@ NRJ]VYJV

OCJNIV@L BAL@YJV OALNJ OCJNIV@ M@O OAYJOAYL-1 IJ]V A]AVDNARD (1.)

14.1=.=711

Vnav srjsd 5: ialdlair.

Cjr skrunun puan ijjrd mj`drtd`odtdr.

Vnav srjsdnfj ldtap, ijbtjr, cjsap oaldnjsd, md`edsayar vm. lu``an`oas yasaltr.

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24/28

r.Er.nan NA@ www.dnanuna`.fko

4

1. Aaiald bknlsdykn`arn tano loj`jrdnd mu`unuz; (17p)

a) =( ) 12b t x m)

9 =

6( )

xe x

x x

=.Ljnar`ar 19 vj == fo k`an idlirtejn mddodnijld mdr lartknun lj`jrdnijn jdt larj`jr

ljsd`dp,la`an lson ljnar`ar lat`anaral st al mdr idlirtejn lutu yap`ykr.Lutunun cafod k`an R

yd x dn mdr bknlsdyknu k`aral dbaij jidndz;(17p)

6.Aaiald bknlsdykn`arn erabdl`jrdnd dzdndz.(17p)

a)

=

=

6( )

xb x

x

m) = 3 1:y x x

9.Aaiald dodt`jrd cjsap`aynz.(17p)

a)

=

7

2 : 11 2`doc

c c

c

m)

6

=

:

::`do

x

x

x

x

x

:.

=

7

2 fks

`do sdnx

x fks x

x x

`dodtdnd cjsap`aynz.(17p)

2.

=

=

6

6 9

xy

x x

bknlsdyknun srjl`d`ddnd dnfj`jydndz vj asdoptkt`arn mu`unuz.(17p)

5.Yrjv vj srjl`d`dl arasnia d`dldyd al`aynz. y x bknlsdyknunun 7x nkltasnia trjvd

varoir; (Njijn;) Yrjv tanonian bayia`anaral 6( )b x x bknlsdyknunun trjvdnd mu`unuz.

(1:p)

Nkt8@dodt cjsap`aoa`arnia @Ckspdta` lura` lu``anoaynz.

Maar`ar.

r.Er.nan na`

F)Aaiald prkm`jo`jrd zo`jydndz.

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

25/28

r.Er.nan NA@ www.dnanuna`.fko

17

Vav r 5

iaair.

Maarar

r.Er.a N@

AID-VKTAID8 NK8 OXA8 1. =.

17.71.=711

1.

.=.

6.

9.

:.

5 2.

. .

5. .

3.

4. .

YZNFJ@NRJ]VYJV OCJNIV@L BAL@YJV

EDIA,HJK@KH RJ OALNA OCJNIV@ M@O@J] (1.].+=.])OAYJOAYL-1 IJ]V

=717-=711 EX INJO OAXJ]JY VDNARD

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

26/28

r.Er.nan NA@ www.dnanuna`.fko

11

AID-VKTAID8 NK8 OXA8 1. =.

13.1=.=717

1. .=.

6.

9.

.

.

:.

2.

.

5.

3.

.

. .

4.

YZNFJ@NRJ]VYJV OCJNIV@L BAL@YJV

OALNA OCJNIV@ M@O (1.].+=.]) YMO 175 OAYJOAYL-1 IJ]V

=717-=711 EX INJO A]AVDNARD

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

27/28

8/10/2019 Genel Matematik 1 - Tunceli niversitesi nan nal Final Vize Ve Btnleme Sorular

28/28

r.Er.nan NA@ www.dnanuna`.fko

AID-VKTAID8 NK8 OXA8 1. =.

1=.11.=717

1. =.

6.

9.

.:.

2.

5.

.3. -

F

A I M .

. .

.

. .4.

OCJNIV@L BAL@YJV

EDIA OCJNIV@ M@O (1.].+=.])YMO 171 OAYJOAYL-1 IJ]V

=717-=711 EX INJO A]AVDNARD