ir r "

: r*t?' .'i{:Je'jjfr.ilir-

v.A'.tI.i:' ,^ a.a et?rtr??1 4y ?|flnflv a-dar?l{Ol?tgru7r 5 ilntlnil

,aflYlFf mrir 2

zss: Wffifu,r"*l*", raar r3.30-rs.oo u.

$:il

.:..i ji::1.:JjnD7::;'.'f.

ri rm u olfi'lfi ri r si ohj fi aiur Yr n : fi d fr o u,,o t tirfi'a to t

9.8 m/s2

3.14159

180" = n t:tfiuil

O=b

7t-

sin30' =

vvedflanuor

.62

sin60" =I,,

Ioga4 3 a Gro

lulonrir ln ila o R r?nng ]uaryfi :anililR1t luo

:#a?n 49 fl?ndvaaiTuorfrnEri 5 lJfl:lnil 2557

r,lrlr 3

t?at I3.3Ft5-00 [

l. A, B, C r{luqouuttu??{nar.rYsfi fi'lu:vurud'r qor A

d"tg, rravqo B oqilu:v6'urdulffuffuqogud nal{?{lnail

sr:q firilGiouil?a ,, 01a?t{Grd'rorn B l#tsra'hJtYlqo Cq

fi:o iltnn?r n5o rrirfrun'unl:nn6o:vornmqourolnEo A

oqig.rgo ?n C ad

BC rflu:rudt uu=

619, ly tovtTr?atuoun?l

odrrir'la

A*tu??{nail:fl

6tr B

o

e, , , (4R)juou.n?rog = [s j

e, r , t'zn)juoun?log :

[?Jt v t v (dn

t?llflultovtYllnu [;

fi ^Rtu:vuru6s

1.

3.

f.

2. rurnniroqj

4. urnn-lroqi

I

=[T)'I

=[?)'I

)'

1t'4 :*L..*

rrit '..

'i - i''.k

€

:#a?m 49I

v^d<?uo1lt9rgYt

flcrnfl

5 ilR5lnil 2557

vlFl vrrir 4

ffiffiIlffiH#ffi:, r?at r3.30-1s.00 u.

2. firdsilaruru^on A

nau.uiarrirlo

,1

l. -v3

4. 2v

t,

e, sd 1) 3 -Y-tt, 4 {-v--siasnarrur5ailruro v nouiltfiun W qyrcoul,ufl?u

fiqfion r5: v

I2.v2

5. 3r,

3.v

-st\., ', -P-. ! * r&.q*. ;"..

1 ,f4

:tYaivr 49 Sl?ndvaaiTuorfrnt Yr 5 ilntlfllJ 2557

ufir 5

t?a] 13.3G15.00 u.

3. lu:vuuunuf,-tfl OxYzfiouur'lv'lillr E lnutiudlufiorrnto{ltnu X ua;ii

aurruurltudn B 4nuriudlufieu:nto.tttnu Y

' ' -^ ufflfr) zuuro q qnEsr{r'lrfluu3rlsuaurudasouffnil?a m tJzzl(u?nfi:oaunlo) l,ulel 4 gnt

na6rt5rfiuog.lufiauantolttnu Z rJ:rngdroqo'.ru,udurdoiultnrruu'

e' '- tttflu Z aaoatilurlll orurnfi'l':ruoa{toruqo-tudrfru9l:{1,u1u

r 1r\'2. -ml - |2 \Bir. L*( L\2 \B/

r (n\'s. -ml - |2 \E/

r (r)4. -ml-l2 \Ei

-{

& .:'. i-J

tdl "i'

j *-.1

t

s. LmEB2

:fr'o?tr 49 fl?ndu ^ lAiuorrinrlYr 5 iln:lflil 2557

urir 6

l?at 13.30-15.00 tJ.

- 9) t i las a 4l I A.A 6l t v4. fluJdilnt:{rscirsfrrrflo{ilAn:u'1il?rniiu:Tofir-t{cu{ttilutlma{?{a{{lullo{l9ll?

'dl^d

. qnu rtu o?{lo1119lu

in + in -+ lu + e* + v + ilfi'lqru

in + ln -> lH. + r + uff.rnu

lu" + ]ue -+ lu" + lH + iu + ilffsqru

.T

B{ e* ,v, / rfluIn?n:ou fiantlu rravYtfiufltJtJl nrruaird't #*oluoun',,jdctaual ru r : n ttu u t ?tJ tljudlJ Rll tqu? r

4 lH -+ (........) + 2e* + 2v + 2r + nffqlru

oqnrilBrursuluaudu (.......)

iH

iH

)1.

4.

t :'j -..\::" \8i s !;,**

,fd g"

-"& #\ th&

ln

1u. + iH

3. in"

*

:fr'oitr 49 fl?n&u a aATuarfrndri 5 iln:lnlJ 2557

9)sfiul I

r?at 13.30-15.00 u.

, rJ:vq +q rndoudfirrurlurierirrtdsvrvq#rarnuua MN t#r

'lrJluu3,r*dfiourruurirmdnood B oqnrnil'ta m dortffrlaroqilu

auruuritufinururrirlo

fiauruurirmdn B

d9tsooflotn?{ulfliu9llu

1 qB

TM

7fm\qB

4trm

2rm

2trm

N

l.

4.

qB

qB

3.qB

o, .,4 -.

\1'{r/ .ini

:fioim 49v a ai?uolmngm

ufivldnd

5 iln:ln?J 2557 #@edt@rdryk&P*oaffil

mrir 8r?a] 13.30-15.00 u.

6. or?il?a rw fft m oqjrix fru o uaysirofiIno::ou?afludnarruaa O rituq{

uu ? ? {i no il n r ut fr r r : q}iru ri a.r o { ?n a r u fl o r n r :In o :

3.l.

5.4.

JG* Dl-2tr

," ,itlGm

z. JGr,r Di2r '" o*

Jcu3

pi2rG.(M + *)

:frairt 49u a e)?1{Olylglull 5 rJfl:]nil 2557

v{cnar'rril 9

r?at 13.30-15.00 u.

7. 1rllffnqrorgao*rilu*uu 7 = -!fl2 ^ r.iioirn:rvdt,ilfrq*ufrndtvlil'4teor'

r?trton:vuurJ:vq 3 rl:;1 6a +Q'- Q uav +2 firrrfr-ltirrffurrirfi',uu

rlu??{nailYefi n

+Q

Irux?{nail

Ysfi n

+Q-0

_Q,

4"tr6n

+2Q'i;ffi

1.

4.

2.

5.

+Q'

4ren^,13 R

-Jle'Aren R

_20,--J.

4re n,'13 R

"'r'^; ':-*a,- i-

-idf ,t-:'

:fio?vr 49v a tA?uotll9luvt

?'1flnfl

5 iln:tail 2557

vtfrNIETSanluilnnaaunNotsfnEhrrurlo ioltnEUnr!u,

:ir4 sr :F.d rt$.u*,'

mrir 10

r?a1 13.30-15.00 u.

8. ABC rflu:r.rfiafrulfr{rfluciaulfrrroqa.:nailYsfi n lu:yuruA{ A otiluvdvl^9.,

:vd'utdseffugurinars O r#u OC drruru 60" fi'uuuefir ruaa rn gnrJciouornorr-

fiuofiqornoa A rruooru?a - r(uoer C uffafioyrnaooufiuuulu:ronnlnd oq'sosr

o d,tfi: v ffu o O,r rrr ro, n'r.,ril1,

I.0

./38

4.

)

5.ft

1ft8

lft8

s. 1a4

r4.L""i

i'f,

-" r'-it*

:faisr 49il a ai?uo11l9lu11

Y{6TNCT

5 iln:]nil 2557

YtfrNIETsanrmoaunNn rsdna!trlud 16 iounnEmuuis?d *ne." d tea-:.e' ls!i{ 9,.e lFe oPia

ilfii llr?al 133$-15.00 tL

9. ririnqruraoulurotu,la?n?lilfiururiu p 1,o{tfia?Qninqrlnufirilurl?urnt

Z n a ru fruoasrd flufi ro gu n'i',,doEro u'hi fi ior qa o u o qi rri rtlor ti'tn"ari"d

nrnfiotalqtalfiaum:{n5ruofl fiJu A

1.0

I

4. ps(A)1

- pgvJ.

A

il6'{otnffua?vr{ sw utfi'uq|ufr'

rnr frr r r ufrn dlYlill rrlo { : uuila o a {l

\rJ o r nt6u rfl url?rur ourirlo

A lpgv, --2AI

s. ps(v)1

lo.

zci1.

3.

Crq'o

C rqi,

z(c,+c,)c,

1

^ Lr4o,-2C:

2

, LrQo4' ,Crcjd

i:. ri -fn'j - :=-*

t* *:-:5 {

r 49 ?l?nd'

v a tA?uolYtgruYr 5 iln:tnlJ 2_s57

NIETsanriunoauunrsinuwirar6 iaonnuuluut\'i6 him! d r.krFd r-r.4 Sr& iF& o&utu

nrir 12

t?alt I3.30-15.00 T{.

mfi'

I l. lugrJ n. eiruaQUurur{rfir:yuurau*hJlylffafiqo

dr) rA - -i- oauo ,:

q

ra u ir 5r fl r 6 ru sa'u vr fru r{ rl fi ai lra.r'hJlyl ffofi Q a B

A B lumri?urryufirrrm:

-10 cm l-10 cm

+10 cm -10 cm

2.5

5. 30

A lugrJ v. rau*guffu

s { ?t I : y us rir r ra.rr#urj :y

3. l0

I

0

20

t.

4.

' ,.i

,i

.;l. ,,.{ -'

allt6r.:1,u1U

:fiaiur 49v ^ aA?uolll9luYl

v\ldnfl

5 ilni]nil 2557

^ v d .l e-:..^^.lZ. arm5l nr : [aU?[U ull dafl B ttau nl:*11: RaO Ouusr nri rsoo nlrj f fl o{ltldil

i - oq9a --^.-:- s

n?t?JUt?n au,L rirl#rfi o qaadr sd'u6'ufr 1 {olasio'ftJfi g nfi ol

!

ood2l.1

ilufi'u I

"!i {rf-ol2

1. D: !'

3. D= !

2. D= !

daflFl

:vuvfil{ a

1

,EF;4. D=yE

s. n= t'(*r

.. :,-. . ,*t'!.1 *i

g"* .!'"

"+ . Y,'4

-(;\

n-l)"

:rTa?rr 49v a a"i?uolTt9tu?l

Tldnf,

5 ,Jn:]nil 2557 @uH#-rrr;r#i*::nilt 14

t?at 13.30-15.00 u.

13. viou'l#l'no*i',,ouur",urlarsuufirrilnorod'u rJa-rucir.roqiuurnrduflofifirurJ:r?yrG

nrriltfis,ovtruffuvioul flflu p owrrirror g fiInfi qofi riou'hifi ,roqjldl'ou

'hllaaar

l. arctanp

Iarctan-2p

2. arctan?p I3. arctan-p

s. arctan (r.;)

* i'e'z*tlI 'q11w'\ '.

\_ -q!

-I

:#airr 49 fl?n*

iuorfisrdd s Nn:lotr 2ss7

?1U] 15

r?al 13.30-15.00 U.

14. N?a

M

j -ufiauail3udfiri-,n1fi t uaun?1ilu-l?5::trs1fi z uraM ilu m ltotJfll{91?uctu:{rllJ?l l?l{rr ^ r6brurr d rNu r o

$ay m gnrJeiouotnnq"iiun*rdoqirir.rfru ZZ 0{r4l{ulotolnarrutEe

ffr.rr&'vrd:yndr{ M ily m tarudofiurirfi'lo$rir'lfru Z (rirtusrjr M>m)

tir-: +

;J"o

.*j; lt

=: . i+"''

i.,' "

* * M\*t,mM)

( *M \*r:\m+M)

( * - *\on,(.Mm)

*M \*r'M-*)

:n"a?rr 49v a eA?uorYt9tuYt

?lflncr

5 iln:tnil 2557

{e&wl\GI=NTETS\E- anlqn@rynDnlsfrroEnoJld (oumrsruui

-

uf.+ilni!&dli445I+J4kr..PdGB.iM'

urir 16

t?41 13.30-15.001{.

15. nffiornffuaivrd SW a{uruuffa rvfrrj:vood"lu c r{JurjBruraurirlo

1.

4.

Lc,6

Lc,2

'2. Lcv4

5. CV

120

360

3. Lcn3

I 6. n',rffunuur.,armfi ufi nr: n:yfi'oi,i,ru.,

( z)^ d 4' , -iI r+- I ?UlYt Ouilfl]il]flfl?tmt?at Il' 2)

,a.

-.* "ia r*:L

r rflu *(l): Acos'3t

r4ouno{lflt

'14NtJtl^l6tm[?at

I

5.

90

270

3. 180

:fraim 49tA

iuorrnnuYt

ildnd

5 iln:lnil 2557

' nrir l7r?ar 13.30-15.00 u.

li . utrci.t,rit rfi orfi u l ur^ierfi u,?o. u. n\rjarj r rau o4 nfi n rl nYl l {l sio ilrfillir rtr^i u

u 4 irduu'lrJarqmrsfirudrufio{oqr*neilrirrfiotfiuqrfioavfiourduqoyrloutott{loluuil lu-J litrl r'rvr I e ,

nfru\rj vr r s 6 n m r u u o fr v:k o v vr u : v 6',u o I ur t {:Jtfi u fl fi il { ufi to 6 tu a

uncirrilfisrt?ul

l. l0log'o 2

4. 20log,o 3

Yqt9.1?'l{

3. 20log,r 22. 10log,o 3

s. l0log,n Q")

4 - - -'i- - ^ s ^ ^ r ru s r a o 6u r{J u rri r1 o fi fi u fr o I ilu ffu fi a o s ffu ri o rl a r ufl a n d I {r q

18. nauldu{Nn2' rrrbt h'rvrv

travfrnrrru u-tt L

"l^.o,?l,a ilarutflo

f- iL4.2L

3:L?.L

s. 3.L

* ft'i#? e? "l@.

d;at

9",a- i6

\1 49 fil?nd'a, a e4?uolYtgtuYt 5 iln:]ail 2557

NIETSanrd@o&stolsi&rxro6l6 ioDanrsuhEuirqat *rfrs r! r##, !:rr4 h{e ,M @r.,e

nrir 18

t?at 13.30-15.00 u.

YIFI

19. qn{ruruea m.il11 / ttu?usrnrnolru rr rirfrqrnaooufinlrutlu??{nail1u

v - ..4-- e ^ --_-- _d A ;Svulu:vou ilavlton?lltJtJ A niltlu?9i{Ifl aoot?at 0{?nFnul,o{nt:lnAoufr

I. 2r 2. 2n

3. 2n 4. Ztr

5. 2r

:t .::iI

L-1 i'';*"4t*''

\ -..:,.

uu??n fl ail'lu:vu tl:y6',u

Io6

{g cos?

Lcos0o6

{.sin0o6

Igsin 6

?tfuanl 49 fl?nd

@#-&*-***-nrir 19

[?at 13.30-15.00 u.iuorfisrtifi s ilnilnil 2ss7

tull20. n?lil9ll{lrlnun:oil

t9o dd I(lufrfrmurutloq R

R fi t urErlnrfl udrdr,,o{ll,u1o1' alq aruair lfrndn t o u C

rflulotiu uavnriauflo't C rilu v{riol

---UtL1- 1,,sinl

CR2.

2n

5. CR

3. rCRl. ZtCR

CR4.

fi

-:-i.i6; ,.{1-- t- v.-(

ivt 49 fl?n* nrir 20

r?a] 13.30-15.00 U.v a tA?uotYtgluYr 5 lJn:rnil 2557

21. n:vrlcr I =2A'lnaeJrua?flrirn?ulYoud.rfrn?tilfrtuynu ,l?= 105 Q luni

frilrirfi{frilroq} t.o kg ffuJciosn:vuanlv'lilr'luaoqiuru 5 urfi qanrqfito.rrir

ovrfr rutuno ro r rryar6ao (rirfi ri ra1 ril ?n ?rru 5ou'i-ttlnl-tv 4200 Jkg-' K -'

Ill r9l o d d Y Y Y v I o

ttav-lrunorri rurasnrtilqn?rN:oulJo{t6rua?nn?tNgltuYt t1{llavn?nlnNul)

1.5 2. 10 3. t5

4. 2t s. 30

22. nfruds'uurr*ri,iuii,.o-r I = 0 iurfi finr:n:v6'odti'turnriu -r ttJel:1o1 rflu

!= Asinx ud'urrrurduaffufrfir:arfrourrfinrios r =+ ?urfi finr:n:v3

/6S?i.Fltf,.L€NIETs\S# anru-mdmrootsikrorr.odr6 iolon*ffi w)

-

u,*B'FdfffiErr64tuiFeE*tu.

v d, ( 1) i e t

ffarfl u -/ :,4 sin

[, - ; J n frutu aufr fi nrnrr5rtfl uErrusr: sioiurfflufi nmrs

-da4Yl -r tYl?{lJU'

I1. +-6

)2. +-

3

34. +-2

35.

23.

2

3

a d-liuorflfluYl

T{dNCI

5 iln:]fl?J 2557

iryr 49nrir 2l

t?at 13.30-15.00 U.

: y fi'urrufi's{ tu ro{orsroxlalo: touel-lllttuu'6rao 'r1,o qlui fiufiri rtiJu

E,, : -1 d. , arrur:srfirirrflu I ,2,3'' "' ttar C r{Jurirnud"n fi-'

n

fi a q n r:10 oo ulud oy sr o ru r o rol aI n : to u o, nu n ", u, du o v fi o r tfi il vl fiq s r ut#

rvrr'la

r- l!616

4.c

or:ffr.r:iunYsfi e finarnisfiln T^

fiuiruaufis du zlun frraarn6sfiiel

rr{rffurnrod (rirruo'lr TB <TA)

fi drurufi'sfiu I{,, cieuor:ffrufiusrYsfr n

ru fr raar rvr r'lool: fr'r uu ud6 u'n a^orJi rur str

969

-C36

z. To-T,

3. 1g4

)

5.

24.

1. To+Tu

^ TnT,*' To*Tu

. TnTuJ'

Tn -Tu

_ To+Tu5.2

,: -it " L*-q" *;

,, :'}

\1 49

iuorfisrdd

?\lcrn6t

5 iln:]flil 2557mr?r 22

t?at t3.30_15.00 u.

2s' uoaauornrsiou ilirurEr: z rirff.rsJn6'aro.rog.ruornrn6{firi*.raalruraqu,odo

fiJu u ruugrdo',u",rorn#r14u-nTn:qsyrl:aru#runr:y,rdrurngorvirra

(rir nuol# r? rilu nirnr.r pta r o.rufla)

rlotnlftfltuuon

garu4fi

Tu{7,

n?ruo-u p

rio{rilrornrnyourrlr

t. ptutvr(r, _ To)2.

pIWVg(f, - Zr)

4.

RT,r,

PIUIVg

RTn

2RTtTo s. !Yk.RT,

5.IIJii

IiIfi

IIii

.i

. .,'-}i..".- " ra

q*j "*,

tr '{"":n