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Math (วิทย์)

  • 1. 34235 l /fr /^frl rffi$] .===w nr: douffnrfi nunoar{1f, o nHl q, 1uru nr?nsr rouuriulsrsif;n:r fls Yu rjrsuirilnr:finul 2ss1 ,t,uen,, 04 {saouin nfistarani6fld) nd I yrqninlsu2550 raar - 09.00 11.00 1{. nmfiil-rg r. oioaoldiz nrfi(:ado)nvuuurdl 100nyuuu z. riolsroun'rorr.tdsc.iuudo eurrudouuayrioldouorlun:sorsuriudunslu ratfiu'rdou n:vnrsrirnoyrSolr?l:slru:ri'arnrfiutlrtor uarqnrloaorl#n:lniulnrToauufiiu :nYailr :. doaorfl nou I noufir rfluoiocol:u-uu:"ru +sr-rr6ondrurur+r?o(dol-14) doac nvuuu 2 noufi riludoao z {:u-r,uru n-rr6on + rirurur+do(dol5-28) 3ncuuu doay noufi: riludoaouo-nfuuursr^urirnor todo dons nuuuu riruru 3 4. lunr:nou tildnuaorilrof zn noufi uav bi:v ruernaudrrf,o" @ @ niu @ fis,:.rn-urircrorfirirurf,on t z C) 1un:vnrurftnot lnrlrituuvu'r1un:ynrurirnol)'luuciayrlofifirnstlfionds.:v€o ntrrvclfi qnrfi urrirorou16ur 4^qv - ic, o , i 8gu-vD hin:onrtav:crrud'ttatfr rilurireroulurioc?ru6ul " unyrlnalfi riinun}ito.:un av{s1un:vors firsroil Inadolnronuocrsurenfl ura,uiiruaurdiru nrffnfiunqfi sxr 5nz ya"nratoorruriruusdrlun:snrsrirfiou s. fi ttt rirrioaouunvn:snrsrirnsloonlrn#olcou , !f I c9!,9 e. hlorlqrn}i{rdraoloonornriolaouriounareolriru'hJ urfi t d.lhcro [0fl6l'l:u[1J laf]d15f, 1: #rrurHuuyri drso'.i il3orqao riouiuii 19i'u?rnrl25s0
  • 2. :riairr 04 2 iuorm-ndfi zsso +nqao-nruu f;oisrnfiflnrasr{6ndl - lxal 09.00 11.00 u. I sY'rra^on tc do <rior - r+I {oov2nvltuu r?oaoud:#suuu iiruru ffi 'drvirdruruo:-lx 1.1# p rrvrurJ:rnmf 4nd'r x < 2 *dt x2 < 4- dr q uvrurJ:vvtoti x y "drriudrueuo?l 4ndrfiiruauoi'r lrldrfi x'y=x- riroruoiqflurff rJ:cilodludolneioudfi o lll -p =rq l2l -p + -q l3l q+-p I4l -q + -p A={plp rflu'iruaurqltsrrdv (504-2p)3nld'rJ 2.d"r p nr: rBn ttdrflnurncrosc ts'r e dodolosiolrjd ttl e [2] 10 [3] 11 l4l 12 3. ,f,rururdrLlrndrururujsfifiudn 90 nrsr'r uavnr:dru 2 uav drdrurudfid'rrnoltn'nr{urflu " Nfrn3ourflu nfrnfildodolooiobjd r uda lrl 6 t2l 7 t3l B l4l e ' . a /o figrJrruuduriulnulluor echelonform) ,, o 4. nrvrin"iludolneiohJfr u ,jo r (row 11 2341 [1 23 4l trl los67l t21lo912l 6 l t00011 l-0 10 [1 2 3 4l ..I1 I 9 ol te1 o 1 ?l lo t+t199 9 ol r.oooot l-ool.ol 5. rirrunlr? = {r,2,3,4,s,6} T , --{(r,i eT xTlx> sulov<z} uavnarrLdrn-ui ! [ a s s = { ( x , y )e T x T l x < 5 n S o Y 2 } > dolnciohJdfro [1]R.-R,-o l2l D,vD"-r [3] rus=TxT [4] rns=O y c rfluirueul€sloudrn:rv'ltolclnr:1u 6. firn:rr'hosalRr:= /(r) rflufl.rrii'utfiuuag 1 rieln obJdldrfllfl rdf urvr"l ei tll y=f(x-r) I2l Y=f(x)+c t3l y=f(-x)-c [4 Y--f(-x)+c
  • 3. 2 - arA :riaiyr 04 J ?uolvrgruvr 41r61fl0n'ru1l 2550 6ioim nfinqrasri t?ndl - [?a109.00 11.00 u. r fiisfirvirfii 3 urj:truasdlricunu unyunu y fiqn 7. rirnunb{xnaloqjlun':on:-uoifi x A unsB nrrLiirri! I rflurduor:,rfidounu dr y X rrasunu fiEo.4uavB nriliira'uudr :vovrirr:vrjrrqngurtnor.iro.r?{nalri'rrdusr:r r 6o{olneiohJd ,., ,lZ ztlj tll ; urjro t2l ; r.njau ' I3l z'/-z uuta 1413"lZ vriTu _ 8. rri;ilnur'rfinrrlur'lro.iunuronryirfiunarrarlto.rra6'ar:n6'rto.onr:rll.tar x2- 4x- By+28- 0 drrr5fi'finluruiorgudnar,rrvirriu ] ,,d.l o.ruu,rnournulnror oio y o , , ,o' ?.t:u flo10lnflo [uu [1] 2 rilru tzl 2,/3 niletr [3] 4 nil?u t4l 4,h rdeu = 9. riruun}?IR uflurrynclol,i-ruaunis = {x e IR| Se(z')-z 6252"} r.tau?nlo.l uny A flrJr$fl1o{ no,flolnsiohjfi a ' rrl -1 t21 + t3l o I4r I 10. (])) rirtor l,u..,un . / / Au+utmuttlc" .o, 3 '^'-3 t g,l ! 1l:1 triT tJl E . , s I l. rirnuo}i tL '.Lay rfluranrnofdl + ol2+ la - vlz = 22 ucty, = V3 drql o lu lal :cfldl t uny t rflu 60. uderirrol t.a n'odolnriolild fia Pl'/6 ' t3l vTz t4tJm r ^ ,, /r+V3i10 n - - 12.d'tz = (i-") udrdrarnfiutolnlru?nro{ z fiodolnciolild 1 V5. , ..rr 1 , ,f l i r ', _ * l2l -;-;i .r .t. r Vs. t3l ;+;i r4l ;-;i A-U,2,3j rrav = {1,2,3,4,5J 13.d'rlfi' B udrdrururolflld{uorn tJ a firflu A q tv A o y o , ,t 'i v{.:fllutll n010 t9ct0 tlJl.l lrl 10 l2l 12 [3] 14 I4l 1.6
  • 4. :riain 04 4 iuorfisrdii 2550 4rlqf,6nruu doicrafinnrcni 6ildl - 09.00 11.00 [?a1 u. I 4.duunnr:xtrtnrro{nrrrr6sio'lild ngtIuu 2t -30 90 3 1- 4 0 A 4 1- 5 0 50 5 1- 6 0 B 6I-70 10 50 fio 40.5udrrirts*a - r fiodslnrishjd drnsuuuludrunri.:rdeirdulndd tll -40 [2] -30 t3l 30 I4l 40 t fi'ardonuiruru{a tdot5-28) doev Rsttuu l?ocrsuil:rYrrruu tl 3 ffi ' 'l 15.1i p, q, r rraes rflurJ:slrtriler . lt'or:anrlsnlrldslild n) 6'rt(-p (- s) ^ (-r + q)l + (rv -s) frrirnrrltisrflurfit udrrirn'rrlriltor p, q, r LLav riluli'r rfiorfinuavoil srruiirfii s t) dr fu + -q)vr fiiirnrrlri.rrfluuioud'r<+r) + (gvs) frrirn'rrloiuflurir (p rioloeiohlfiqn [1] n qnnnrt qn [2] n qnttaY n'n t [3] n fintrav qR n ttav'u [4] n n'n fin 'I 6.rirnunld uyurrynrosdrulusFluoy Rl2lr+21< lr+31}, IR /={x€ B-{xeRl/tTT--,li=t} t d I u rd tJ0 tnnollluQn lll AcB l2l BcA [3]A'cB l4l BcA' 17.rirruo}{ r rfiudrururdllrnfiirirlrnfiqerdfir: 40 tras100rrd'lirsurvdsrdrriu 16, uavy rfluirururdllrnfifirirrloofiqodrr:dau40 trnc100rtdrfirqsrfi6otflu 16, 1 9 o r u rar n110{ -x y nototaooluu tll 3Be [2] 4oo [3] 4Be [4] soo . 6
  • 5. :riair 04 5 2550 iuorfindfi uqrrn'nluu a - r?al09.00 I1.00 u. deir nfinR1crfli6fldl v{1.1?1 lE. lnunts!?un1:s1luunl:Fl1![lo? lx 2 -317 0 0l 1 1 0 0 -s 4 -3.| lz y o lo r ol-lo 1.0 10 -7 6l L4-2zl001lL001 B _6 5J . r+y+z fio{olneiohJfi rirxo{ lrl -e t21-7 I3l s t4l I ' tflufitinornnr: n dro4 unr g(n) = n2+ | 19.drraun}if (n) n'o r: (f rirrw Xi11o " dfu) 6o'ils1ecio1ild lll zsso 12)382s [3] sloo l4l 6275 20.1#Ll rflutdusr:r2x-3y-6=0 fidnunu tlatrrntr fi1na ttcsB nrldtdu x f rir c rflulnd.rnnrr:;u'irl1n Lrcw unv1,, rflurduer:siioicqlnriu c uarer'n A B L, fi1n runu fi1o p udrdufitelautu6ul lCn n"sdslqeiel:Jd X .-. 13 13 . flfrrrr:rrnjru [2] f,nt:trrdru ''" .^, 13 , .,, 13 t3J f [4] f nt:tuilru nr:rwtjru 2L 1o'roi6ar;ilnuid1n1dfi'aoqifi gnrilruqn (+3,0) (5,4)$iufi1o'tfirrl6o:rt*nrn a4 gu6nnrs ns{o1neiolrJfi ll] 2V5 nr:tcx ru t2l 4lE nt:r'trrjru t3l 816 str:t.lflru t4l 16G etr:rqnriru 22. dr1o.l25i*:s+ gtos2764 +2i;**a- 5uoiu1r6u11t' ' trl 2s l2l 26 t3l 27 t4l 28 . 23.rirruerlfi , e[0,2] | cotd(1 a-{e -cosd) =-#:9J rrnrrnroqarrinror - a t q I ! ra 4 n010tnno u t 1l 3 . 3 ,n2J Lzl r ? r .. , , Lvl w!! T 3 (1,2,4), (1,2,9), 24.firintorlnludolneiobJiifuyrqlto.rvr:rfiru6ulrprnrnfiiqorluds (2,2,3), (r,3,3) trl (3,1,2) l2l G,2,4) [3] (2,3,4) l4J Q'4'3)
  • 6. :riair 04 6 ?u0lytgluyrflqflnnluu 2550 4 doisrnfinnrasr{ t?ndl - t?dl 09.00 11.00 U. (2 * 25.d't z1 uar z, rfludruaurS.rdoufi d)+ (t + i.)4= 3 + 2i rras 21l.2* -2i)72-2 - 0 udtrirror lz;116odo1npio1ilfi (l ,r,' 3 3A ,^, - ; ttt, lzl [3] 3 tq 3a 9 tu uavfirar1,2,..., g srrrurirdl 26.neiosllr.rur.rfifq: lnurifl:udasluocfifld{firLrornr ti eiln8rrin:duuaorll ud: narrLrirocrflufiHnr?r.Jro{fi!1urnr#rao.rl-o:rrnn.jr 10 6o{o o t n ,i lo0t0tllu nr 1 - - 3 ra96 ' ' 3 r31 ; vti 27.d"t x2,x3,xa,rfludoryaXnrdrdidrgrufioluavritugru6o xr, 0 fifidufio unsi 12 -r)'? 6o{elnsio1r1fi rirrniurnl,nru'ndo rirtor Ef=r(xi 1 udr tll 76 [2] 78 [3] Bo l4l Bz gt - , n r! zd. nlriunt,o{no{9r0 tulr x 0 1 2 5 l 1. r t.5 'r y 6o rirdo{alndficlnr:fildrj:srLrorri y=2x*t udrrirro.r n'odolnciolild s lrI 3.s I2l 4 [3] 4.s [4] s ffi r?oaouirnrTsuililrfiilrireroil r0 qiodoas3 nvuuu druru L rirnuolr? rfludrururfirLuenfirj:vnoudruratlnn 2,3,4,S,6,lO,7t,1z,lz x 4 ndnd.t ruac fi'r: r aldaudrrlnrrirro.r x 15 z.riruunl#a - [] o*nrirtor der(A+A2+13 +...+/4s0) l] I
  • 7. :riain 04 l --r.i 4 vlqflon]uu 2550 ?u0'lYrgruYt nfinnresritivrdl doiryr [?a1 - 09.00 11.00 u. x h f@) - e. 1# 1r1ulrun'rdruaurdruurnfirLrnfiqnfirioun'jrniorvirdr 10(r- [r]) rtar y = (f " f ' f)(72.34567) olririrlo.r [y] udr 4. 1&AG,s)rflulorunr:rll a't - 2y - 4x * ! - 0.dri r tflulcrooounv y2 r rfluyrb'{fio A unz y unstururYr rtd'lo.lvr dr t, rflurdun:rfiriruEn F L, rflurduer:.:fir.i'luna L, :yov?irs:sx'ir{rdun:{ L2 11lras 5. rirnuol#a, b rflurirqrouto{duflr: 5 r * 2 l o g * 5 = 3 l n u f ia < b f r r 1 +t r m u r r y s r log rsr,irururfrur':n A = {x e I+lx e [a,b] unv3 rr: r n.:fir]ud'lolurdrueuelrfin uav 1o{[sn ,4 O.lfresco rflufirfiduildruluru uasN rfluyrrudru uascD srrrLiird'lloufi M BC d n : r c i ' r uM : M CD N : N C - l : 2 d ' tT d - a e r t + P T f r r t d a r ' r m r r i ra + r B - top 7. 1#I = {zlz2 (2 - t)z - 2i = 0} uav - {zlz2- 5 - tzi} fr'1 - {lzl2 e A u B} - B 6 lz c olurrirrosnauanrorflrrfintor rudr fiirvewo.rlooontvirtirtryntoviru?urqfllv lnofi1nuon uat j fi 8. lf c rflun:rr'l nn'xtt:n d qr j , ja, ,t l i-..ijv i +j tdur'gtt:vtt'lNao{lfiuonunaoluo ltnsi + i < 10 o{filn1u?uldulluotqnYl c u,r'orirl# rflun:rr'loouraof arur:our^r1#fiu 6 9. drrurrlo9 qnlurdu:orrunuuronuu.onutlrtncy rflu'iru,ugrJvnrorufiolfil::1 dr r uav orrliirrir olnrrir nrulur.rnnllotrldlorxrirdrflulne,onrlrunvfi6rurunr6uilrflu6 rtde { 10{ .r- y 16nnt!'rnra 10.ncrruueouisrn'flqren{rrncnrsr'lnufinr:unnuourrrilnFunvfiritunrurvirriu 78.81drrvirdtrrlofrdulvrdto.r orqrcnfto'teruoqirilofrdulvrdfi nrl.jrnvuuuluitrnfi usiovuuunfisrqrcnidurrnn'itnvttuuntgtlvruoqi ,4 nvuuunrsr'hufi'ldyro6 zo nstruu dr ttdrl.rttrir uacB rflurirurfiu{rlrurrq:nlurornvuuuirrnfingranfunsnrur'luuoudtdtr tor /-B Z 0.70 0.80 0.90 i .icy t, sy u?'lt$rrdu tfl.t 0.2580 0.2881 0.3159