رياضيات سابع دليل المعلم

214 .ájOóY äÉfÉ«Ñd ∫GƒæŸGh §«°SƒdG óéj - .∫GƒæŸG , §«°SƒdG .(30 - 2) ôjó≤J º∏°S ,(2) ≥ë∏e - -280- p áYƒª r é n ªdG p º n «b n ø r «H kGQGôµpJ o ônãc n C ’G oá n ª«≤dG n ƒg o∫Gƒæ pªdG uπ n ëdG pø pe r ≥q≤ënJh 20 , 85 , 20 , 65 , 20 , 40 , 35 , 55 : pá«JB ’G pOGó r Y n C Ód n∫Gƒæ pªdG pó pL .π p °ùcEG pá q «éeôH ΩGó rîpà°SÉH 6 n ∫GƒæpªdG qópL , 7 , 5 , 9 ,5 , 6 , 5 , 6 n »pg m n æ r °ü n e »pa m∫É q ª o Y p ™Ñ n °ùd oá q «eƒ«dG QƒL o C ’G r ânfÉc GPEG .nπ p °ùcEG pá q «éeô n H ΩGó rîpà r °SÉHh kÉ q jhój p∫É q ª©dG pQƒLC t π n ëdG k É q jhój tπ n ëdG (1 n ƒg p∫Gƒæ pªdG n∂pdòd mäG q ôe nçÓK n QôµJ o ¬sf n C n ô«fÉfO 5 n ƒg pQƒL o C ’G n ø r «H kGQGôµpJ o ôãc n C ’G o ôL o C ’G (5) n πp °ùcEG ΩGórîpà°SÉH tπ n ëdG (2 É¡ o àªq∏ n ©nJ »àqdG pán≤jôs£dG p¢ùrØ n æpH päÉfÉ« n ÑdG oπ pN r óof p §«°SƒdGh »HÉ°ùpëdG p§°SƒdG ÜÉ°ùpëd ádGódG ,nándGO m êGQOEG pá n ªFÉb r øpe o QÉàînf r øµdh …òqdG n èJÉsædG ≈n∏ n Y oπ°üëàa () : pQhÉéªdG pπ r µs°ûdG »a o ô¡¶j ÊhÉ©àdG πª©dG á«›ôH ΩGóîà°SÉH ∫GƒæŸG OÉéjEG á«Ø«c ÚÑj …òdGh á°ûbÉæª∏d (6) ∫Éãe ¢VôY - .π°ùcEG .áHƒ∏£ŸG IQÉ¡ŸG áÑ∏£dG ÜÉ°ùàcG øe ó q cC Éà∏d ( 2) ÖjQóJ πM áÑ∏£dG ∞«∏µJ- .áÑ∏£dG ™e ( 8 , 7 ) ÚdÉãŸG á°ûbÉæe - øe ÜQóàj »àdGh T184 -0202-MFA-02 ºbQ ᣫ°SƒdG íàa áÑ∏£dG ∞«∏µJ - .∫GƒæŸGh §«°SƒdG OÉéjEG ≈∏Y áÑ∏£dG É¡dÓN . »à«H ÖLGƒc øjQɪàdG øe Ö°SÉæj Ée QÉ«àNG - ∫GƒæŸGh §«°SƒdG 2 - 7

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  • 1. n onpYdG b H kGQGJp n cCG dG g GdGr n pn nr o n o p GGh SdG 2-7 6n p q ppq o p n oq o rGdG L , 7 , 5 , 9 ,5 , 6 , 5 , 6 g n e ap mY d edG QLCG fn c GPEGn m r n . ncEG eHn Gp SHh jhj dG pQLCp pqr r kqp q .jOY fd GGh SdG j - dG t nkqjhj tdG (1nm q n no ng GdG dp d Ge K QJ sfC ffO 5 g pQLCG H kGQGJp cCG LCGnp p n no nn nor oo (5) .GG , SdGncEG Gp SH tdG (2 pr n pp n p r o qnJ qdG njsdG rn Hp fdG oNfo np p p pp SdGh HdG SdG d n m pn r p o dGdG ,dn GO GQOEG Fb e Qfn dh r qdG JsdG nY oa () n np r : pQhdG sdG a j ohdG dG H GSH GG OjEG c j dGh bd (6) e VY -.cEG q.HG IQG dG cG e cCd ( 2) jQJ M dG J- n p p rpp rn n p p p udG e qnJh 20 , 85 , 20 , 65 , 20 , 40 , 35 , 55 : JBG OGYCd GdG L .dG e ( 8 , 7 ) dG be -.cEG eH Gp SH p pq r e Qj dGh T184 -0202-MFA-02 bQ SdG a dG J --280-.GGh SdG OjEG Y dG dN. H LGc jQdG e Sj e QNG -.(30 - 2) jJ S ,(2) e - 214

2. 7 pp rn n p p p54 , 98 , 12 , 32 , 43 , 66 :JBG OGYCd GdG LdGt n .p pr nZ e cCGn QnJ OY tCGn Lj sfC ,Ge Lj n nq m n o no n o p oY 8:SdG r e a dp W 12 eY JBG fdG ouoJ pp n kp n oo AGKEG p n p p pd GdG L , 48 , 100 , 99 , 100 , 96 , 88 , 45 , 72 , 53 , 55 , 45 , 67 p.edGMelop nnd Lj fdG H dG t n o noYe Hn sCGn nc ,Gepl p p nq o no n fsdGh ,nJe QnJ sfC ,45 shCG Ge Lj p o r n np p op n nq o n Ie QnJ n dG Hn n H ,Je QJ sfC 100 kq r nqe pn rcCGn nY nJ nb fdGr p n p n .MG : dG JGSG -GSG fn h . mGen opp o kn p.r e xd IMGh.(2) e (30 - 2) jJ S :IGOCG - pp pp pqg r e a ncEG eH p.dG-281-. SOdG dG VjdG e SdG e OQh -Fp eh jQnJo nn ojCGn pT a de jq CGn IY HQG je a rdG IQGdG LQO UQ (1n r nmn o m n n p p nn o p n on r n p o p p:L , 30 , 28 , 27 , 26 , 33 , 31 , 29 , 32 , 27 , 25 :JrCjn c fn a r. ncEG eHn Gp SHh jhjn LQsdG p d SdG ( CGp pq p r r kq p n p n. ncEG eHn Gp SHh jhjn LQsdG d GdG ( p pq p r rkq p p n- www.elearning.jo pQp NG a pHdG usd dG e a dW 18 eY ouoJ JBG fdG (2 p qpp n n kp oo p q n :hCG,17 , 14 , 16 , 15 , 20 , 15 , 11 , 8 , 9 , 10 , 15 , 13 , 20 , 19 , 2019 , 13 , 18 . T184 -0202-MFA-02 fhdEG SdG - . ncEG eHn Gp SHh jhjn ed SdG L ( CG p pq p r r kq p n n p p . ncEG eHn Gp SHh jhjn ed GdG L ( p pq p r rkq p n n p p pr n n pn n p nrn oq,e285 ,e800 :JCjn nc We S a e rbC pQeCG nc fn c GPpEG (3reHn Gp SHh jhjn L .e310 ,e400 ,e265 ,e375 ,e200pqp r r kqp pp . ncEGn SdG ( CG n p GdG ( -282-215 3. p o QdG GfGh idG n (37)QG GfGh iG 3-7mq n m .jOY fdp pQdG GfGh idG OjEG :dGp on o o idG : khCG .jOY fd QG GfGh iG j -Y n dG YnJ ie nJ sfC o sdG jpH oJ iNCGo FMpEG je gr n p p po n op po nn r l ln n op p p r p m o mn r n . pQdG Gfr Gh idG jdG g eh e b Y hCG dG Hn p n p n p r.QG GfG , iGidG sCGn CGn b pUCGn h b p rcCGn r Hn ndG sfCH dG e OY ie jo n nr mnr mnn o o n pnmn n nn o qmb UCGn b cCG = npn nr Hn YsdG Y jo dp H gh g pUCGn h dG pcCGn Hn dG Y j idG sCGn MoJn o p n oq n n n r n pnn p p n oq no p .U nl n o p r n n n o n n n o p p p rdGh Hn Y IH dG fn c q oc idG OGR qna dG gp r1 TG jQdG140 , 153 , 170 , 182 , 165 fn a S bC UTCGn N GWCGn br p n n p r p n r n or n .(1) e N e GO iG e J - n pn p p .GWCG p d idG Lp.iG M JGQe d dG b e ( 2 , 1 ) jQdG M -dGt nGfG e J K eh ,GO HG SdH dG LGe - S 140 = b UCG ,182 = b cCGnm on rm o p nS 42 = 140 182 = G rWCG ie nn.GO QG GO QG GfG OjEG c j dGh Td (3 ) e VY - -283- fhcEG SdG GSG h ,cEG H GSHh vjhjo QG GfG OjEG c d VJ dGh T184-0202-MFI-01 q QdG GfG :kfK.GOSh Y dG QnJ hCG YnJ ie Sdp jdG oaCGn g QdG GfGp n n r n pn p oponn p p nn n qp o p .pHd JBG nfdG fn M p b OjpEG a n dG L oNnJ PpEG ,HdG p poo r p n pp p o nr p q.HG IQG dG cG e cCd (3) jJ M dG J -n mqm np o p:JBG psdG nY FMEG d QdG GfG r p Sh Y dG aGfG He eHdG p n r n pn pp p q o n r n= n p n 1 - dG OY p n npppHdG SdG Y S dG GfGh ,S edH pHdG SdG dEG feQ GPEGh sn nrnnp npesdH rdh , pesdH dG OYh ,S S pesdH p r n2(S S)1-= sEp aHe oq oJ 2(S S) sCGn h ,S HdG SdG Y S dG GfG oq oJ S S qCGn Mnq op p n p n pnn pr pdG aGfG He e oq oJ 2(S S) sCGn h ,S SdG Y S dG GfGpn pp p s o n r np n n p n pnp p p n .HdG SdG Yq3 p pp n p p p n d pQdG GfG L p G eH Gp SHh jhjn 55 , 40 , 35 , 30 , 25. ncE pqr kq -285- H dG fCG Y iG OjEG dG H j b - .b NBGh b hCG .(31 - 2) jJ S , (2) e -216 4. M Kp pn n p p.7 , 89 , 95 , 75 , 45 , 15 , 100 , 85 n d idG L 2 , 30 , 98 , 90 , 70 , 82 , 80 , 65 fp eG MCGn a q oW 10 eY fn c GPpEGp p nm on r ppp Y .edG g ie L , 77 , 85 , 68 rdGt n:JBG d QG GfG L -30 = eY UCGn , 98 = eY rcCGn mn n o rpn n o 6 ,1 ,2 , 4 ,2 68 = 30 98 = idGn nAGKEG :Y jd CG VaG -:JCjn nc HsdG udG a oW 7 oGRhCGn fn c GPpEG r p qmr p.GRhnCd idG L ,c 70 ,c 49 ,c 55 ,c 62 ,c 56 ,c 35 ,c 40 n n p p3 , 7 , 1 , 5 , 4 : CG YG sfC ,dG L KCGn j sfCGn SdG Gg Y d ,pHM ndpH Rjn idG sCGn MoJ o n pn p n n o r o p pn n r p p p on no p 6 , 3 , 1 , 8 , 2 : YG .QdG GfG gh mNBG Se dEG Crfn dp d ,na r n b pUCGn h pcCGn nY j q p on m p o nr n p n n o p rnn? MJ GPe .Y d HG SdG L (1 ? MJ GPe .Y d QG GfG L (2, MG : dG JGSG - -284- .(2) e ,(31 - 2) jJ S :IGOCG - 2(S S) S - S S dG t n -14412-25kqjhnj tdG (1 n 49 7-30p n n oM S HdG SdG fn ( CGo n 185 S4 2-3537 = 5 = = S9340p mn S n bp ``e b u oc G``fG ``f ( n p o324 18 555300 dG S S CGn S HdG SdG Yrp p n n p n o r n m p 2(S S) CG GfG sc Hf ( `Lo oq530 =n2(S S) CG dG fh r n pn r n o 530 2(S S)11^51089 =4= 1- = nfdG fo KoqcEG qp eH Gp SH tdG (2p rncEG eHn Gp SH udG OjEh ppq n p r rnp po qnJ qdG njsdG rn Hp fdG oNfon p- www.elearning.joQfn dh HdGo r rp SdG d pHSp p p k n() dGdG GhdG GQOEG Fb e) m pp rsdG a rjn qdG JsdG nY oa o pnpQhdG . T184-0202-MFI-01 `fhdEG SdG - . ncEG eH Gp SHh jhj 15 , 14 , 13 , 12 ,11 d pQdG GfG Lp pq r kqpn p n p p p-286- H dG fCG Y cdGh Ye jQJ AYEH dP Y.b UCGh b cCG217 5. 2(S - S) S - SS4491 2- 3- 1-324 pp pp n p p p:JBG n d QdG GfG LQG GfGh iG 3-70 0 5 8,7,6,5,4,2,31 1 6492378 tdGn35 Sr p 28dG5== = S Lo n7 28 6= 281-7=2(S S)1- = .jOY fd QG GfGh iG j - . ncpEG eHn Gp SH (4) dG uM U e qnJp pqp pn p q pp r rr .QG GfG , iG2(S S)- S - S S5 p rU p rU5 rU p p rU5 p np n p p pbQCd QdG GfG L p rU rU p55,5,5,5 rU p p rU5 t dGnprUo dG n 5=20 S4=r p= S L TG jQdGn p nrUn pnrU2(S S)fhcEG SdG a Jh. dG e ( 5 , 4) dG be - n p rU =3=1-4=1- = iG OjEG Y dG jQJ EG J dGh T184-0202-MFA-01 . GO QG GfGhoq mn n o n n mnQn Jn IMGh Ip gdp pQdG GfG M IYnb p S cEG eHn n SGp p ppp nq n r r .( 5 , 4 ) jQdG M dG J - .(5) dG a OQGdG (5) OdG pZ OGYCGn Gp SH dp Php p pp nm n p n r r n. H LGc jQdG e Sj e QNG --287-.(31 - 2) jJ S ,(2) e - 218 6. Fp eh jQnJ o nn o p n p rWCG dCG n e a sdG bp e mY d sedG QLCG fn c GPpEG (1 p r n p p ro p n n n o or p:g pQjudH n r kq p qoopGp SHh jhjn dG pQLC QdG GfG L , 7 , 3 , 11 , 9 , 5p n pp pp pq . ncEG eH:JCjn c d rbC WGdG MCGn IQdp jdG e YSCG p SG nc GPEG (2rp n n n p o p n p q p n o oYqrIQdG p S QdG GfG L , 15 , 25 , 13 , 27 , 32 , 27 , 22p s pr p n pp p. ncpEG eHn Gp SHh jhjn jdG e p pqp n r r kqp n AGKEG , 185 , 172 , 181 , 197 , 171 sdG Ip oc jna a Y qdG G rWCGn fn c GPpEG (3 pn pn o rn p n n p p .GWCG p d idG L , 170 , 206 , 194 , 169 , 201 , 193 , 192p p p np oqo op, 130 , 240 mQjO bC jsdG JGhQ Xe 12 csdG iMpEG a ojn (4 k rn 360 , 420 , 400 , 320 , 290 , 185 , 250 , 600 , 430 , 500. qXdG Jp Ghdp QdG GfEG L ( CGno psp n pp p .MG : dG JGSG - .Jp GhsdG p d idG L ( p pn n p p .(2) e ,(31 - 2) jJ S :IGOCG - -288-- www.elearning.jo . T184-0202-MFA-02 fhdEG SdG -219 7. on o o AdGh FGdG HsdG(47)dG AdGh FGdG HdG4-7dGq pq p nmq n m r q n.fdG IsdH nJh FGY Hn d dG Ap ndG OjpEG :dGoo oo p r o:Yfn QsdG .fdG IdG GSH q h ,FGY Hd dG AdG j -rp c rfn htdG nJ gAGLpEG fYCGn e n HnK Fp fn QnJ gh Y QnJ (1np p n rn r rn lol n lqp o p .Ap dGh Ap jdG pn e a oJ dG o,Fp GLEG nb ndG Jp Gfn L ae o jo dG QsdG gh FGY QnJ (2r p o p n o n n p on n l r n lp.QsdGpg Ap GLEG nb kap sS Jp GsdG g e jq CGn OoJ CGn nJ sdh p r o n n pp r p k nq r o r n n rJn CG dG p e qdG LhCG e pnJ fEa IMGh Ie rfn bp dCGn GPEG knan p p r o pn n k o o n k p ks m n nn r n.fdG IdG ,dG AdGdG eQ nb kap S rd r LdG sCGn pnJ sdh ,lHc hCG IQU gh nYCdpn p rn non pn p p n r n onn ln n n r n .g pQGrpSGhkn n r p o k o o nn n kn rpHJ n S e o S e nnJ sfCh ,HnJ soJ rsdG rb Ap dEG Yho n pn on n np o n p oq oqdG LhCG Y jo sfEp a pesdH HdG Ldh U pesdH Ip QtdG Ldp eQ GPpEGh .FGY p p pr n n p n n rnn knpUY e mr Y tc r M , r o pn o o o npn dG JGq dG Ye soJh { , U} YdH rJnnpn r n o r nn.FGdG Hsd n dG Jp GsdG MCGn oujo YdG gpq TG jQdGn pnpo pn npn r n phCGn RndG seEGp sdG qEp a ,iNCGo SQe jna e IGQe e SQe jna Vjn er Yhon nm n n p nn k o mn oo n p .SQdG ee N e dG HdGh FGdG HdH dG jJ -o n r n kqn kn k r o n n oYeh ,FGY HnJ Hn psdGp g snJo e sdG pfn sfCh OsdG hCG IQdG oon n.{lIQN ,OJ ,Ra} n dG Jp GsdGl p (2,1) dG be N e Hc ch dG AdG e J - l o p VJ dGh T318- 0201 MFI-01 bQ SdH fSG hCG ,dG eq n pmmp o p pesdH nd eojh ,nd dG AndH FGY nHnd ndG JGsdG L Ye oJ r onr p n orn s n. dG AdG .(3) e N e fdG IdG jW VJh VY - -289-. dG e (4) bQ e be - 3 pr pp n r pn n o n k p k n ppn r s.jgsdG r LdG Meh ,ke IMGh Ie fn n b Ap dpEG Hn d dG AndG cGnnpdGt npn p p r n o pn p p rdG Lh ,dhCG dG Lh) nJdG hsdG e le HsdG g JGfn e Jp f t ocp pp p q o pnp p m p n p sEp a nYh (fsdGopmn p p r nop o nenJh ,Hc Lh pQ oX dpEG enJ r M {( , U) (U , U) (U , ) ( , )} = mpr n.IQU Lh pQ oX dEG Upr o p pLhh dhCG rdG nY IQU Lh Q oX jn ( , U) Jq dG sCGn M HsdG dG e n mn pr nnr p pp p n m p pr nppn n mnY Hc Lh Q oX jn qdG (U , ) JsdG Y n j gh ,fsdG rdG Y Hcrp o r nppn pm pr n pn .fsdG rdG nY IQU Lhh dhCG rdG no o kn p n k n p r o mnpnMeh IMGh Ie r n n e rfn n b Ap dEG Hd dG Ap ndG oJn o jh Gg n o pq pp n p n.fdG IsdG njH jr gsdG r LdG p n r no m pn o oo o o m pn oJp GsdGh rfn rpb AdEG fq dG edGh , U n dG Jp GsdGh rfn rpb AdEG dhCG edG oq son s .qp nnnn n o r pfdG IsdG jW soJh dp P uVjo JBG osdGh , U n dG p p o o pro o ndG JGsdGpp s ofsdG edG FnfdhoCG edG Fp nfp s o(U , U)U U ( , U) (U , )U( , ) -291- LhdG H dG Y FdG ANCG e - .(IQUh , Hc )h , (Hch , IQU ).(32 - 2) jJ S ,(2) e -.LhdG H dG d Vhq 220 8. : ojn S e nY AHh n nn k M p r p p o p .HsdG d ndG Jp GsdG L Ye g qFGY nHndp sdG AndGp n orn n m r n m ro1ndG GdCH fn eh Ke ``````se HQCGn Vh p n p n m o mo mon r n o YmMGh e S fGO OGQCGn h hr U a ,fOQCG p q o n r n o r n m oqn pp ppd dG AdG cG ,fnd nJh htdG ekQNG H dG AdG UY fdG IdG jW ee cG -s n pp o .Hn sdG.Lh JOh J ah WCG Jh ,W e fe FYq dGt n nhCGn NCGn hCGn MCGn epEG dG Gg od oS ,htdG e e S r Y sfCGn M p o p r n n p o r p AGKEGo n ro r q pn p.OSCGn hCGn HCGn n r n,IMGh Ie jf b K AdEG H dG AdG UY cG -{Hr CGn ,OSCGn ,MCGn , NCGn } = Hsd sdG AndG sEp a nYhn nn nn n pn n np.IgdG LhCG Meh2 p ppp n k p kq p n n n pAndG cG ?n dG JGsdG g e ,gsdG sdG LdG uSh IMGh Ie OsdG M QGno o n n rn.dG s.MG : dG JGSG -.(2) e ,(32 - 2) bQ jJ S :IGOCG -tdGn m o n e Jp Gfn q S Ljo p o n{6 , 5 , 4 , 3 , 2 , 1} = nPEGpr -290- 4njH sdG AndG ue sKo ,Ofn pM Ap dEG sK khCGn fn rpb Ap dEG Hn d sdG AndG cGp n np nmr n nq m pn pn rnp pqp n .fdG IsdG .eG dG VjdG e dG AdG e OQh -dG t n(2 , ) (1 , ) (6 , U) (5 , U) (4 , U) (3 , U) (2 , U) (1 , U)} = { (6 , ) (5 , ) (4, ) (3 , ) .n n n o o r n p pnn r n o n o n o npOsdG pM LhCG oujo fsdG dGh sdG rpb Lh oujo shCG dG r Mpp r o om pn oJGsdGh OsdG pM AdEG fq dG edGh ,U n dG JGsdGh fn rb AdEG dhCG edGon n o on oq s on s.(fdG IsdG oJ) dp P uVj JBG osdGh 6 , 5 , 4 , 3 , 2 , 1 n dGnqn ns nn o n o p oo p o ondG JGsdG pp o pfsdG esdG Fnf dhCG esdG Fnf o o- www.elearning.jo(1 , U)1(2 , U)2(3 , U) 3(4 , U)U. T318- 0201 MFI-01 `fhdEG SdG - (5 , U)(6 , U)4 56 1(1 , )(2 , )2(3 , ) 3 (4 , )4(5 , )(6 , )56-292-221 9. Gp SH dG AndG ue sK ,rfn rpb Ap dEG sK khCGn Ofn pM Ap dpEG Hd dG AndG cGm pn q ppnpp r r qnp n nqnp n.IsdGdG AdGh FGdG HdG5-7 5e GfCGn KnKh . pdG ,sdG ,IndG :GsdG e Gfr CGn Kn nK YdG MCGn jo p p m n n ppp p mn p p n o n oum n m n pm p m pnMGh fh GsdG e MGh fn pQNG a r ZQ GPEa ,jg ,ac ,c :jdGr nnnp n .fdG IdG GSH q h ,FGY Hd dG AdG j -op n n ?GQNG g eh ?eeCG kGQNG nc ,irdG e r n dG t n.n e GQNG Jp jdn sCGn M (9) gOYh dG JGsdG uVJ IQ phdG IsdG m o mnn r r p on n n o no n ono o n n n, T) (c , T) (jg , Inb) (ac , Inb) (c , Inb) } = dG AndG n nn n n r nnn r n r qo .fdG IdG ,dG AdG n n n n nn nn n {(jg , Y) (ac , Y) (c , Yn) (jg , T) (ac n n n nnnpjdG QNG o p GsdG QNGo Me l o dG Ap dG pUY OY dp n pn n ppc q n :JBG jsdG fn nn ornac OY = dG Ap ndG pUY OYn np n ok njgInb r qn pn np oW OY GsdG pQNG oW prp oYG dG p 9 = 3 3 = jdG pQ``NGncn m r:xY nHhnac T.IQdG Y VYh G He h (1) jQJ M Y c J -r p q e oJ FGdG Hq dG fc GPEG o o r jgn.(5) e N e dG AdG UY OY OjEG c VJ - pUY OY nch HJ hCG n Me p o npr pr rno p r , dhCG Hs d dG Ap ndGq ncY hH hCG LQEG e dH dG jd ( 7 , 6 ) dG be - pn dG Ap dG pUY OY sEa fsdh p n n nnac q n * = p Hq djg.dP Y ac eG AYEGh ,LQEG nndN e Qj dGh T318- 0201 MFA-02 bQ SdH fSG --293- .LQEG hH hCG LQEG e dG Y ddG .( 2 ) jQJ M dG J - .H LGh AYEG -.(32 - 2) jJ S ,(2) e - 222 10. 6 n nmo mY p oc Ke bpH KnK hU jn no o r n ppo rnnY bpH htdG e S 3 , 2 , 1 OGYCGr n o.dG Ap ndG UY cG .LQEG e dGsdGqnr p nn dG t n {(3^3) , (2^3) , (1^3) , (3,2) , (2^2) , (1,2) , (3,1 ) , (2,1) , (1,1) } = Ypp n pn o r phtdG dEG shCG sdG a nY onJ dG bpdG IOYEG j LQEG e sdG nnpn o rr p o r p s r rn p npnn p r njn LQEG nhO sdG n H ,fq dG dG Ap GLEG K ,nY dG OdG nJ HnAGKG dsdHh nY dG OdG nJ Hn hdG dEG OoJ khCGn o S tj qdG bdG sCGn n pn p n p r n p t q r nn n p r on o p.fsdG Ip sdG a pS IOYEG jo 7 n ppr n o n nm npnY bpH htdG e S 3 , 2 , 1 nY oc bpH KnK hU jn or np pp.HsdG d dG AndG cG ,LQG nhO dGq dG qnm r dG t nnJ H htdG dEG OoJ khCGn o S tj dG bpdG sCGn nJ LQEG nhO sdGp n poq n r nnn r mokq kr no op n p n pnn.fK Ise pS IOYEG jo dq dHh nY dG OdG .MG : dG JGSG -{ (2 , 3) (1 , 3) , (3 , 2) , (1 , 2) , (3 , 1) , (2 , 1) } = .(2) e (32 - 2) bQ jJ S :IGOCG - n rn n n n r n p AbQR ,AGrU ,AGM :G oc nK hU jn noo r pnp dG e S .LQEG e dGsdG nY nJ oc ht n pr n r n o p r p.HsdG p d dG AndG cGnpq-294- Fp eh jQnJ o nn op pq n pp:JBG FGdG Qsd dG AdG cG (1n q.eG dG VjdG e dG AdG e OQh -p n o nn p op p oq o p n o pn dG e Jp GQe a sdG Id fOQCG dG IGQe fn Me ( CG p p n.fdGmmm m mGc 5 h AGOS Gc 6 , AHn Gc 4 jn hU e I oc S ( nnrp n o n n n k p n m.lKe htdH GdG L sCH rY AGN Gc 3 h AGM o np p p po r p np kqn mo m .IgsdG nKsdG LhCG Meh ,kIMGh Ie e jfn bp nKK Ap dEG ( `L m n ppp r n pn qnpp n m no mr n bpH S Hdp dG AndG cG 6 , 4 , 2 bQCH be bpH K (2p- www.elearning.jor op .LQG nhO iNCG J IMGdG mnn ppro p p n pp r n pn r qpe HsdG GDtdG a iNCG J IMGdG r n bpH S Hn d dG AndG cG (3n .LQEGp,AH dsdGh ,AGU fsdGh , AbQR dhCG :G oc nK gMCGn jn c (4 mr p . T318- 0201 MFA-02 fhdEG SdG -o o ooo n o nI oc S .doJHh AGMh AGNh AGOS :G oc HQCGn fsdG dG jhon r n o ro n r n n r n n n m nn o r nJp GsdG ue ,n dG JGsdG e fsdG dG e iNCGo I och ,shCG dG e n p n o p o op p pr l p n pp np .IsdG SCH -295-223 11. pOdGo(57)OG5-7p pp n n o q .OdG re nY sdG :dGonr n pr n np n p n k p kq p n npnAndG sEp a YCd pgsdG LdG nY OdG Meh IMGh Ie Ofn pM Ap dEG HnJ a .OG e j - q{6 , 5 , 4 , 3 , 2 , 1} = dGqp pnn p r p mqm, {4} , {3} , {2} , {1} kna ,kKOM oJ YdG g e FL Ye t oc sEGp ns n r nAp ndG e FL Ye g .... {3 , 2 , 1} .... {3 , 1} , {2 , 1} , {6} , {5}lqo r n nOM {2} sEGp h 1 OdG pQ oX OM {1} sEGp :fn dp d .kKOM r e t oc jh dG op no p o np p s no n pnn .Ggh 2 OdG pQ oX.OGo on o m n mn r q o p. pesdH dn ejh FGY Hd dG Ap ndG e FL Ye g :OdG l o l r n n 1TG jQdGp po pr n n pp n n p r k n p ks n pp re v oc cG dG LdG nY tdG OY nJh IMGh Ie Of pM Ap dEG HnJ a rn n e VJ EG J dGh SQdG jGH IOQGdG dCG VY -:pJBG OGdGp p nmn n .Oa OY pQ oX :1x .OG 6 e qbCGn LhR OY pQ oX :2 r pxn m n.d dG AdG Hc Y c Jh (1) e VY - 3 nY n m nn n pdG oj OY pQ oX :35 e qbCGn OY pQ oX :4 pmn n. d OG e VJ -c J K eh ,d dG AdG Hc dG Jh (2) e VY --296-.HG aCG MCG M Y ,IQdG Y Y c b e dEG UdG dG dG VY -pp p. YG H e G beh n n p n r p :r M 2 , 1 OGdG UY cG HsdG dG dpEG LdHo n p tp n m n n p p o p o o p.2 nY dG ojn OY r Y pTDdG bh OM :1n n .G Heh ( 298) U jQJ M dG J -p m n n n p p pD o p o o p .3 Ye e OY r Y pTdG bh OM :2 o. dG e (3) e be -3 .H LGc jQdG e Sj e QNG - n prp n pr r n p n k n p ks m np r,2 , 1 UY cG jr gsdG LdG Meh IMGh Ie fn n b Ap dEG HnJ a:M 3o .nJe IQdG rJn CGn :1pr n on t n r r a IMGh Ie HdG rJn CGn :2.n n k np kq o p nn r .k re IQdG rJn CGn :3n o on t ordGt nos n o r noujo hCG ndG {( , ) , (U , ) , ( , U) , (U , U)} = dG AndG q n o nn p o r nnn p .fsdG rdG oujo fsdG ndGh dhCG rdGn {(U , U)} = 1 {( , U) (U , )} = 2{( , )} = 3-298- .(33 - 2) jJ S ,(2) e -224 12. dG t nM{6 , 5 , 4 , 3 , 2 , 1} } = pn n po r.OsdG pM Lh n o q nCG Y jOdG OGYCG gh {5 , 3 , 1} = 1 o n n .OsdG pM LhCGn nY 6 e tbCG LhsdG OGYCG gh {4 , 2} = 2 p n n pon r p nn oq o rn n.OsdG pM LhCGn nY 3 Y dG onJ qdG OGYCG {6 , 3} = 3 p n np nn n r p no rn.OsdG pM Lh n r p pn n p nCG nY 5 e tbCG OGYCG {4 , 3 , 2 , 1} = 4n o nYAdG UY cG ,gdG LdG Meh Je f b AdEG H - 2 .dGuKo K ,jhe bCGn fnK dpEG wFGO Uob uobn mno mpo r nAGKEG p n n o o r m r n p ra ncdH dn jn pH UodG pce a TDe rn l p oCGn dpEG cnJ sK TDdG rcM GPEG ,UodG in eron p oq n pr o :JBG OGG cG ,gdG bdG Jh Of M AdEG H - ,3 , 2 , 1 OGdG Up Y ca ,j pn n n rn p .6 hj OdG M Lh Y dG j CG : 1 (1 p :JBG m n p p r o p o p p .LhR nbQ r Y pTDdG bh OM :1q .10 OdG M Lh Y dG j CG : 2 (2 m n p p r o p o p p .Oa `nbQ r Y pTDdG bh OM :2qp m n p p r o p o p p 3 e mcCG nbQ r Y pTDdG bh OM : 3 r dG t n{8 , 6 , 4 , 2} = 1{7 , 5 , 3 , 1} = 2 .MG : dG JGSG - {8 , 7 , 6 , 5 , 4} = 3 .(2) e ,(33 - 2) jJ S :IGOCG - -297- Fp eh jQnJ o nn o dpEG YCGo sK I oc S AGOS ,AbQR , AGU ,G oc K hr U n j (1 r n l r n o n n n n n m n oo nk k l r n o p: nc GPpEa fK Ie I oc S sKo ,htdG .fn odG d nJ oc Q oX :1 o o pr o .SOdG dG VjdG e OG e OQh - .AbQR a fsdG nJ oc Q oX :2 o n o pr opo p .AGOS r e dhCG nJ oc Q oX :3o n r o .AGrU gGMpEG nJ oc Q oX :4o n opr o . 4 ,3 ,2 ,1 UY cGn p n r p rn pn r n p mn np r cG {14 ,15 ,12 ,11 ,9 ,10} OGYCG Ye r Hn e OY pQNG HnJ a (2 rp p n n p :JBG OGdG UY- www.elearning.jon npdG ojn QdG OdG njn CGn :1 .3 nY n o o o n r.kdhCGn kGOY QdG OdG njn CGn :2qn n o r o onnr .2 OdG Ye e QdG OdG njn CGn :3pnn p n oo o onnr p p k n ln p lr n om o m e FGY IMGh Ic S 5 1 e sbe G oc N lhU n jn (3 n r n orn on oo n p :sO GPpEa Y dG bsdG nuSh htdG .2 e rcCGn nbQ Y dG :1m n n o oqbCGn nbQ Y dG :2 .5 e m n n oopm n n o.2 Ye e nbQ Y dG :3o o p p n n p n r . 3 ,2 ,1 OGdG UY cG -299-225 13. pOdG pMGp o (67)OG MG6-7 pp r o.OdG MG OjEG :dG o,Ge 10 fn rpb dp W dCGn GPpEa ,Hc Lh hCG IQU Lh rjn fn rpb eQ r Y mp nn omn p o r n mo n op pn p n n .OG MG j -`` rpb eQ Ge O`Y nY Ip QdG pQ oX Ge OY bp Jp f sEp a mQU 6 Y nMhprnp s pn n n n tp s pn n pn r no n n n 6 g sdG p 10 n o .HsdG g a Ip QtdG pQX Odp udG QGq dG 6 OdG sjopn po p p nqn10 o nn.dG QGdG , OG MGqdG GdG OY H nqdG g e Odp qdG QGudG p q pnn nr o nm qo.np HsdG AGLEG Ge OY dEG OdG a onj pp q pnn o po r, 1 OdG e jnb tudG QGudG jo m nc pH sdG rpb eQ Gse OY OjORG r Yh pn kno r m r n p p rn p pn n p r n p 2 n oo p o o n.f hdG Ua d JGsdG sCn npn p mn p m nGPEG pRedHh ,sdG d IMGh eQ a Ip QtdG pQ oX OM p MGpp p n 1 OdG j LG ASG tn2 onn s noOdG p MG jn 1 = () eda , pesdH p Mdh , pedH OdG dpEG eQp p n r 2 o sp r s p pn r n MG ae EG LG Rj dGh SQdG jGH OQGdG G VY - 1 hj 2 o .OGAp GLEG Ge OY OjORG r Y OdG dp P p M jnJ g Od udG QGudG sCGn Mp q p n pn p pn pn p p r pr p o q nGG OY Jh GG e Gk OY dG b eQ Y c J - m n n pn r nppn o nm r n pe m nc OY HsdG pQGJp j nW Y OdG MG M sEGp Mh , mc H HsdG p pp p p p p m p pp o o p l p p n :nbdG e e OM MG M a ,HtdG e f a GdG o . IQdG a J dGOY EG IQU Y a GM dG GG OY f CG d VJ - -300-. dG QGdG j HdG a jLCG dG GG . hL Y c dEG UJ dG FdG J -kqc HK OY e jb j dG QGdG CG EG dG UJ e cCq dG - .OG MH jh HdG AGLEG Ge OY OGR . dG e (2 ,1) dG be -. G Heh jQdG M dG J -.(34 - 2) jJ S ,(2) e - 226 14. p pOdG UY OY p n n p p = OdG oMG n pp n pdG AndG UY OY M q() p pp p n on OdG UY OY () M ,o = p q () RedHh ( ) q n p p p n o n .dG AndG UY OY ()p p n pp . nndG OGdG bh feEG hnJ oT Y1 .IMGh Ie HdG QX MG L , Je f b AdEG H - r p k p kqn m p o ppn r :MG MG IMGh Ie e Ofn pM Ap dEG HJ ann n AGKEGp n.5 OdG pQ oX (1Lh Y dG j CG MG e ,Of M AdEG H -n n r p n m n 2 nY dG ojn OY pQ oX (2dGt n .10 hj OdG M {6 , 5 , 4 , 3 , 2 , 1} = q dG AndGo1 = ( ) nPEGp 1 p pUY OY ,{5} = 5 OdG Q oX (1 ppnn o61 ro n1 3 = ( ) nPEGp 3 p pUY OY ,{6 , 4 , 2} = 2 Y dG oj OY Q oX (2 6 2 rpo nn n r p n m n o2 bQdGh dG : dG JGSG -2 .OG MG OjEG Y ddG IQb j b eG :IGOCG - r o n np n r p nkq pr n o m np r d jr gsdG r LdG Meh ,kIMGh Ie e rfn n rpb Ap dEG HnJ a MG : dG JGSG -.na IMGh Ie IQdG nJ CGn :1 r kn p k on q nr .Je HdG nJ CGn :2 .(2) e ,(34 - 2) jJ S :IGOCG -pr o n r (2) , (1) L r p -301- dG t n {(U , ) ( , ) ( , U) (U , U)} =2 = ( ) rnPEGp 2 pUY OY , {(U , ) ( , U)} = IMGh Ie Ip QdG QX p o nkk n q o41 1 .SOdG dG VjdG e MG e OQh - 1 = ( ) nPEGp 1 pUY OY , {( , )} = Je HdG QX r po npr p p o 4 2 2r op pd 2 e dpEG LdHp q.ke HdG nJ CGn : 3 n o oo nr .ubCG nY IMGh Ie IQdG nJ CGn : 4n n kn p k o t n r- www.elearning.jo(4) , (3) L r p3:jfK SQe a sdG OGYCGn JBG hdG oujo mm n n p n r o r ndGo r nHOnCG n p rY s dG t 140 80 60fK hCG210 120 90fK fK350 200150dGo oW e njn CGn p MG na ,kFGY dp W fn NG GPpEGp r o r q n k rHOn nCG fK fK (3p rY fK hp q nCG (2 fK hCGn (1p q-302-227 15. dG t np nfsdG shCG usdG q oW OYp n n pn n n p o pnSQdG qW OY=p n(fK shCG a d nW) (1 lOG MG 6-7 1400^4 =350 =pp n prdG fsdG shCG q oW OYn n p p n= (rY fK shCG a d nW) (2 o pn n n p o pnSQdG qW OY .OG MG j - 60 0^17 =350 =HOCGn fK fK q oW OYn p nn n n= (HOCG fsdG fsdG a d nW) (3opn n n p o pnSQdG qW OY 120.dG QGdG , OG MG 0^342 = 350 = LG ASG .IQdG Y dG e hdH G VYh Td (3) e VY - T623-0302-MFA-01 fhdEG SdH fSG h b OjEG Y dG dN e Qj dGh T359-0302-MFA-01 .MG-303-.(34 - 2) jJ S ,(2) e - 228 16. Fp eh jQnJo nn oCGn Odp udG QGudG L ,3548 pQctdG OY sCGn Lh Ip O ph dM 5241 e (1r p pnp p nn nn p o n n.fCG OddG njo,kIQhr Hn YhQe fhO 19 ,AdUa YhQe fo hO 15 ,kfhO 50 pQGe ind (2 ln knln km onj rCGn p MG MG ,kFGY fhtdG MCGn NG ,kGQN YhQe bdGh n r r pn po n np lnn.QN YhQekYl nCGn MG L ,40 dpEG 1 e bQCH be bQh 40 H e FGY bQh S (3r n r p pk o kn prkq n lnn r n o p p n:HdG nbQdG nY OdG nj n n o n AGKEGn nn p n.10 nY dG orj ( CGn nn p.7 hCG 6 nY dG orj ( n n nn p .3 , 2 nY dG orj ( `L nkn kr n o n mn m n n mIMGh Ic S ,AH G oc 8 ,AbQR G oc 4 ,AGU Gc 6 jn c (4 r o o pr ol o p p o n n IdG g nnJ CGn p MG e Ke dG a GdG L sCH rY .kFGY k p qMG : dG JGSG - AbQR (`L n AH ( n AGU ( CG n.(2) e ,(34 - 2) jJ S :IGOCG --304- .SOdG dG VjdG e MG e OQh -- www.elearning.jo. T623-0302-MFA-01 fhdEG SdG -. T359-0302-MFA-01 fhdEG SdG -229 17. p pq p:JBG FGdG pQsd ( ) dG AndG cG (1npLGe qo nn l r o l o p p .uOQCG e cn e OhM nd dG HdG htdG iMEG pQNG ( CG p p pr n pr o r p p q p r p, Tg , G Y , e} sdG e na jY e onJ HW d jJ ( m{Y , pQH n n o ndG Ap ndG pUY OY nc GPpEG pUY OY a , 3 = () nch KOM nc GPEG (2 p n o npo nk p.IMdG ShQO IOQGdG LdG -q5.kGr Y 20 = on r r n o mn m nmqHdG iMEG S .dJ He 3 a ,FHc He 10 nY jn lhU (3p m n nr o dG dG nj CGn MG L FGY o n opr n r p kq.kdp U ( dp J ( CGk .IMdG ShQO IOQGdG Gh gGn o on o n rp n n k:(10 rdG judG M) JCjn c SdG r e a dW 15 eY fn c GPEG (4 p o n r 5 , 10 , 8 , 7 , 4 , 5 , 7 , 6 , 9 , 7 , 4 , 5 , 7 , 8 , 10 p p n n p p. ed uHdG SdG L ( CGn p n n p p . ed SdG L ( pn p p p . ed GdG L ( `L n hdG dG pn p p.ed idG L ( On .IMdG SSCG gG LGe - K ,dM Meh (1) GDdG M Jh ,Y dG J - .IQdG Y G VY IQdG Y G VYh ,(4 ,3 ,2) SCG M dG J - -305-.d LY N Vhh ,FNCG Meh ,a beh(35 - 2) UdG Fb :(2) e230 18. MYAGKEG.MG : dG JGSG - .(2) e ,(35 - 2) UdG Fb :IGOCG -- www.elearning.jo231 19. r l p mp o m o m ona IMGh ,HLEG HQCG r e ud ,Oe e pQNG e Gna 5 e GDtdG Gg ojn (1 JGdG QNG3-3oq ppn p n.sdG HLEG eQ eeCGh ,IndG bQ paO dpEG rfG ,lU o n onn n np n pmn n{14 , 11 , 12 , 2 , 3 , 5 ,10} OGYCG Ye e dhCG OY pQNG p MG e (1) n xo 4 (OU ( `L4 ( 1 ( CG 76m n n p kq m o n n p:Oa OY Y dG p MG e ,kIMGh Ie Ofn M dCG (2) x o o.IMdG ShQO IOQGdG LdG - 1( O3 ( `L 5 (1 ( CG 66 6 pn o n10 , 6 , 4 , 1 , 5 , 9 , 7 dG Sh e (3)9( O6 ( `L 1 (7 ( CG .IMdG ShQO IOQGdG Gh gG p p o p 5 , 9 , 3 , 5 , 9 , 1 , 3 , 9 n dG Gr e e (4)1( O5 ( `L 3 (9 ( CGp o p 5 , 4 , 3 , 2 , 1 d QdG GfG (5) pn1( O 5 ( `L3( 7( CG.Oa H QNG J dG J -rn p:JCjn nc pQjudH qXe 6 JGhQ fn c GPEG (2o n r200 , 400 , 320 , 180 , 200 , 240.gMh dG a bh dG ANCG j - pp np p.JGhsd HdG SdG L ( CGq .LY N Vh -pnp p . JGhsd SdG L ( p p n p p p . JGhsd QdG GfG L ( `L .QNG H dG jhJ -pn p p p. JGhsd Gr dG L ( O.QGdG H edG h vFMEG QNG - -306-232 20. IMGh MY AGKEG dGh bQdG : dG JGSG -JGdG QNG :IGOCG -- www.elearning.jo233