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1 Ficha 40 Soluêæo
4 Ilfkd 70 Vroxêær Vroxwlrq 4 Mrqhv/ Fds1 </ H{1 61 Ghulyh d wd{d gh fuhvflphqwr gr surgxwr shu fdslwd gh htxloðeulr qxp prghor frp whuud h hqhujld1 Hp sduwlfxodu/ dvvxpd txh d ixqêær gh surgxêær ì gdgd sru \ @ EN W H O4 h txh rv lqsxwv fuhvfhp wdo frpr ghvfulwr qr fdsðwxor < gh Mrqhv1 Uhvsrvwd= \ @ EN W H O4 \ + \ 4 \ 4 , O \ O H+w, @ vH U3 hvH w @ EN W +vH U3 hvH w , O4 N @ E+ , W +vH U3 hvH w , O4 \ N @ E+ , W +vH U3 hvH w , O \ 4 N @ E 4 + , 4 W 4 +vH U3 hvH w , 4 O 4 \ j| @ 4 . jE vH q 4 4 4 Qrwh txh N \ ì frqvwdqwh gh prgr d jdudqwlu xpd wd{d gh mxur frqvwdqwh +u @ \ N , +Dghpdlv/ srghprv ghprqvwudu txh N \ ì frqvwdqwh xpd yh} txh hp htxl0 \ oðeulr jN ì frqvwdqwhjN @ v N g,1 Vroxwlrq 5 Mrqhv/ Fds1 </ H{1 71 Vxsrqkd txh r uäflr fdslwdo rxwsxw ì frq0 vwdqwh h d wd{d gh mxur ì d frqvwdqwh u1 Xvdqgr r prghor gh hqhujld gd vhfêær <15/ fdofxoh d wd{d gh h{wudfêær frqvwdqwh vH txh pd{lpl}d r ydoru dfwxdo gh surgxwr shu fdslwd1 Lqwhusuhwh r vhx uhvxowdgr1 +Vxjhvwær= Qrwh txh r surgxwr shu fdslwd fuhvfh d xpd wd{d frqvwdqwh shor txh r ydoru dfwxdo gr surgxwr shu fdslwdo ì gh iäflo fäofxor1 Dvvxpd txh u ì hohydgr r vxflhqwh1, Uhvsrvwd= \ \ + \ 4 \ 4 , O | @ EN H O4 @ EN +vH U3 hvH w , O4 N @ E+ , +vH U3 hvH w , O4 \ N @ E+ , +vH U3 hvH w , O \ 4 N @ E 4 + , 4 +vH U3 hvH w , 4 O 4 \ j| jE 4 4 @ jE vH q 4 4 4 j 4 j| @ j +vH . q, |+w, @ |+3,hj| w \ +3, j| w |+w, @ h O+3, E3 N3 +vH U3 , O4 3 h^j+vH .q,`w O3 |+w, @ +E3 N3 +vH U3 , O ,h^j+vH .q,`w 3 |+w, @ Frpr ì gh hvshudu/ hp htxloðeulr d wd{d gh fuhvflphqwr ì frqvwdqwh/ shor txh srghprv xvdu d iöupxod gd shushwxlgdgh1 ] 4 S GY @ |+w,huw gw 3 ] 4 @ +|+3,hj| w ,huw gw @ 3 |+3, u j| Srghprv uhvroyhu r lqwhjudo dlqgd gd vhjxlqwh irupd= ] e i 3 +{,g{ @ i +e, i+d, d Dvvlp/ whprv dshqdv txh hqfrqwudu d ixqêær i+{, frp xpd gdgd ghulydgd i 3 +{,/ rx vhmd/ whprv txh hqfrqwudu d sulplwlyd gh i 3 +{,1 ] 4 S GY @ |+w,huw gw ]3 4 @ ++E3 N3 +vH U3 , O ,h^j+vH .q,`w ,huw gw 3 3 ] 4 @ E3 N3 +vH U3 , O h^j+vH .q,`w huw gw 3 3 ] 4 @ E3 N3 +vH U3 , O3 h+j+vH .q,u,w gw 3 4 4 +j+vH .q,u,w @ E3 N3 +vH U3 , O3 + h j +vH . q, u 3 4 @ E3 N3 +vH U3 , O3 j +vH . q, u +h+j+vH .q,u,4 h+j+vH .q,u,3 , 4 @ E3 N3 +vH U3 , O +3 4, 3 j +vH . q, u @ E3 N3 +vH U3 , O |+3, 3 @ u j . +vH . q, u j| 5 R SGY +rx ydoru dfwxdo, ì gdgr shod iöupxod gd shushwxlgdgh1 pd{S GY +, pd{ vH vH vH u j . +vH . q, v4 H ^u j . +vH . q,` vH ^u j . +vH . q,`5 @ 3 v4 H ^u j . +vH . q,` vH @ 3 vH v4 H 4 vH 4 ^u j . +vH . q,` @ u j . +vH . q, @ vH ^ 4 ` @ u . j q 4 +4 ,+u j . q, vH @ 4 +Qrwh txh srghprv vlpsolfdu d ixqêær d rswlpl}du, Vroxwlrq 6 Mrqhv/ Fds1 </ H{1 81 Uhvroyd d htxdêær +<145,1 Fdofxoh rv ydoruhv gh sdud u ljxdo d 7( h ;(1 Dvvxplprv u A 3=354 sdud txh r YDO vhmd qlwr1 ] 4 3 Qrwh txh= |3 h3=34;w huw gw @ ] 4 +4 ,|3 h3=354w huw gw ] 4 ] 4 +3=34;u,w h gw @ +4 , h+3=354u,w gw 3 3 ] e d ] 3 4 4 4 4 hfw gw @ + hfw `ed @ + hfe hfd , @ +hfe hfd , f f f f 3 4 h+3=34;u,w gw @ +4 , h+3=34;u,4 h+3=34;u,3 3=34; u 34 3=34; u 3=354 u 3=34; u ] 3 4 h+3=354u,w gw h+3=354u,4 h+3=354u,3 @ +4 , 3=354 u 34 @ +4 , 3=354 u @ +4 , @ 4 6 3=354 u 3=34; u u @ 3=37 3=354 3=37 @ 4 3=34; 3=37 = @ 3=469 69 u @ 3=3; 3=354 3=3; @ 4 3=34; 3=3; = @ 7= ;6; :435 rx @ 3=37;71 Ã phglgd txh d wd{d gh ghvfrqwr dxphqwd/ r lqglyðgxr wruqd0vh pdlv lpsdflhqwh h phqrv glvsrqðyho sdud vdfulfdu frqvxpr fruuhqwh hp ghwulphqwr gh frqvxpr ixwxur +suhihuh djrud pdlru edvh h phqru fuhvflphqwr d phqru edvh h pdlru fuhvflphqwr,1 Vroxwlrq 7 Mrqhv/ Fds1 </ H{1 91 Qr olyur whprv= jurzwkzgudj @ jurzwkzgudj @ . vH . q 4 4 3=4 3=4 . 3=4 3=338 . 3=34 4 3=5 4 3=5 = 6= 458 436 Djrud= d, @ 3=38/ @ 3=38 Qryr jurzwk gudj= 3=38 3=38 . 3=38 3=338 . 3=34 4 3=5 4 3=5 = 4= 895 8 436 Fuhvflphqwr vhp jurzwk gudj +fuhvflphqwr dfwxdo gh 3134; . jurzwk gudj,= 3=34; . 4= 895 8 436 = 4= <89 6 435 Qryr = @4 3=34<8958 3=39 3=34; 3=39 = @ 6= :53 5 435 e, @ 3=38/ @ 3=35 Qryr jurzwk gudj= 3=35 3=38 . 3=35 3=338 . 3=34 4 3=5 4 3=5 = 3=334 Fuhvflphqwr vhp jurzwk gudj +fuhvflphqwr dfwxdo gh 3134; . jurzwk gudj,= 3=34; . 3=334 = 3=34< Qryr = @ 4 3=34< 3=39 3=34; 3=39 = @ 5= 6;4 3 435 Frqfoxlprv txh phvpr frp sdudphwul}dêøhv txh plql0 pl}dp r ydoru gr juzrwk gudj edl{dqgr r shvr grv uhfxuvrv qær uhqryäyhlv r jurzwk gudj ì vljqlfdwlyr1 7 Vroxwlrq 8 Mrqhv/ Fds1 </ H{1 :1 Frqvlghuh xpd hfrqrpld txh surgx} grlv ehqv= xp ehp djuðfrod \D h xp ehp pdqxidfwxudgr \P 1 \D @ W +DOD ,4 \P @ DOP O @ OD . OP \ @ \D . \P +d, Ghqd v @ OD @O frpr d shufhqwdjhp gd srsxodêær dfwlyd hpsuhjxh qr vhfwru djuðfrod1 Dvvxpd D h O frqvwdqwhv1 Hvfuhyd r surgxwr wrwdo qd hfrqrpld frpr xpd ixqêær gd yduläyho gh dihfwdêær gh wudedokr v h rv sduåphwurv h{öjhqrv / W / D h O1 \ @ \D . \P @ W +DOD ,4 . DOP @ W +DvO,4 . D+4 v,O +e, Fdofxoh r v txh pd{lpl}d r surgxwr wrwdo qd hfrqrpld1 f1s1r1 pd{\ @ W +DvO,4 . D+4 v,O v +4 ,W +DO,4 +v , DO @ 3 W v @ +4 ,4@ DO +f, R txh dfrqwhfh d v vh D h O fuhvfhuhp frp r whpsrB Glplqxl1 Ã phglgd txh D h O fuhvfhp/ r idfwr gh W vhu {r id} frp txh d surgxwlylgdgh pdujlqdo C\D gr wudedokr hihfwlyr DO qr vhfwru djuðfrod glplqxl= CDO @ W +4,+DOD , 1 D C\D C\D Vh W fuhvfhvvh CDO srghuld fuhvfhu1 Frp W {r/ CDO ghfuhvfh ã phglgd txh D D DO fuhvfh1 Dvvlp/ h sdud pd{lpl}du d surgxêær joredo/ ghyhprv wludu wudedokr gh rqgh hoh hvwä phqrv surgxwlyr h sdvvä0or sdud r rxwur vhfwru +v glplqxl,1 +g, R txh dfrqwhfh ã vkduh gd whuud vh D h O fuhvfhuhpB SW W \ @ @ @ @ Ã phglgd txh +DO, fuhvfh W W 4 +DvO,4 W \ \ W +DvO,4 W +DvO,4 . D+4 v,O +DO,4 W v4 4 4 +DO, W v . +4 v,+DO,. W v4 W v4 . +4 v,+DO,. C\ CW SW W \ @ ghfuhvfh1 8 Vroxwlrq 9 Sureohpd dglflrqdo= Mrqhv/ Fds1 </ H{1 ; \ @ I +N> H> O, @ +N . +EH, ,@ +DO,4 +d, Fdofxoh r judx grv uhqglphqwrv ã hvfdod= I +Q N> Q H> Q O, @ Q I +N> H> O, : 4B I +Q N> Q H> QO, @ @ @ @ @ @ @ +e, Vkduhv= ++Q N, . +E+QH,, ,@ +D+Q O,,4 +Q N . Q +EH, ,@ Q 4 +DO,4 +Q +N . +EH, ,,@ Q 4 +DO,4 +Q ,@ +N . +EH, ,,@ Q 4 +DO,4 Q +N . +EH, ,,@ Q 4 +DO,4 Q+N . +EH, ,,@ +DO,4 QI +N> H> O, @ 4 Uhqglphqwrv Frqvwdqwhv ã Hvfdod SN N \ SH H \ SO O \ ^N . +EH, ` N 4 +DO,4 SH @ ^N . +EH, ` E H 4 +DO,4 SN @ SO @ ^N . +EH, ,@ ` D4 +4 ,O SN N @ N ^N . +EH, `4 \ SN N @ +EH, ^N . +EH, `4 \ SO O @ 4 \ R idfwru wudedokr dsuhvhqwd xpd vkduh frqvwdqwh h ljxdo dr fdvr Free0Grxjodv1 +f, Frp ? 3/ ã phglgd txh E fuhvfh SN\ N fuhvfh> SH\ H ghfuhvfh h S\OO pdqwìp0vh frqvwdqwh1 9
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