P`bNN`/p BCSBCSBCSBCSBCSBCSBCSBCSBCSBCSBCSBCSBCSBCSBCSBCSBCSBC 1AY&&fB B&B* xNE@4g6<?<%NNTQ1‚@`1"^Hz,?< NA\4<1?<%NNTQNufUD3" Legends never die! -= ATARI LEGEND =- http://www.atarilegend.comMajor Havoc greets all the other members of Atari Legend! 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NIHA@h<:y 8x @ 9 x 8y x x8xN: 9 8x 98J 8 8 8 8 H    H  J  M O O N MK  J IA80` `$ i 9h8h`"8xi=xh` y9 `8 :8 8 88 ` 8 :8888  `  8 8 88 m 8 9 k x   hj  hx h i j n  ` h x` yy `x x ` ` `  `  `  `x `  ` ``  ` x `x  `i  ` x   `x `h  ` j ` ` x ` ` j `A8@!@ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ ( @ * @ + M/ J J K M/ N. N. O- N. M/ N. N. O- @ ) @ ( OI NIH NL NL NL NIH IIYYؘXXHHHYYOH8@@D||u|yuojz{~}{|~~|tv{{uv~~yzxqpp~|~~xx|uu~|~z{{~z~~|{vrpu~z{|{}~|}yyurxt{v|x~w}~zu}|{qzxu}ymq~j~t{|jy~w|nsyt~v|vqv}}}xkr{~szy||tvzssux{}||pmxq|~qwsomuoz|sxwxzwygyp}oyqtuvuqpizruvvtko~~tjpt{yprmqzoientqwnmsyto{~~sprjtro{dgsuttu|{v|z{vsy~w|w{{s}|qw~~{x}}|uuz~{||rlqt{ylmwwmzny||~lwtuxztmpuz|txxr}xvrlrllw{yu{tz~~vpu~y~}smq{xtw~||zx|{z||smo{|urow}yqoor{}tv)6MI /[/f"X( Qui menace ma suprmatie ? Trouve qui a sign ceci : (a+2b)2 =a)a2+4ba+4b2 b)a2+2ab+4b2 c)a2+4ab+2b2 3(a2-b2) =d)3(a-b)(a-b) e)(3a-3b)(3a+3b) f)(3a-3b)(a+b) (3a-3b)2=d)9a2-18ab+9/4b2 e)9a2+18ab+9b2 f)3(3a2-6ab+3b2) (8a3-12a2b+6ab2-b3)= x)(a-2b)3Complte : y)(2a-b)3CAT- z)(2a+b)3@@@@@ Pas besoin... c'est si facile!I/[/f+/[/f"( IDENTITES REMARQUABLES (a+b)2=a2+2ab+b2 (a-b)2=a2-2ab+b2 (a2-b2)=(a-b)(a+b) (a+b)3=a3+3a2b+3ab2+b3 (a-b)3=a3-3a2b+3ab2-b3/[/fm/[/f" A)E FFYZ G# *,)O23)T))E23)T)I /[/f&( Quel pays se cache derrire ce mystrieux code ? CODE :(x+2y)2 a)x2+2xy+2y2 b)x2+2xy+4y2 c)x2+4xy+4y2(x+y)(x+8xy+16y2)a)(x+y)2 b)(x-y)2 c)(x+y)(x+4y)2(x+y)(x2-y2)a)(x-y)3 b)(x+y)(x-y) c)(x+y)2(x-y)9x2-24xy+16y2o)(3x-6y)2 q)(3x+4y)2 p)(3x-4y)2I/[/f+/[/f&/[/fm/[/f&:C)E:C :C":P  # *,I /[/f( Quel code secret se cache au milieu de tous ces signes ? CODE :4x2-12x+9 1)(x-3/2)2 2)(2x-3)2 3)(3-2x)2 x4-81 1)(x-3)4 2)(x2-9)2 3)(x2-9)(x2+9)x2-8F3x+481)(x-8F3)2 2)(4F3-x)2 3)(x-4F3)(x+2F3)(x+7/5)2(x-7/5) 1)(x+7/5)(x2-49/25) 2)(x+7/5)3 3)(x+7/5)(x-7/5)2I/[/f+/[/f/[/fm/[/f:2)E:3 :2":1 # *,I /[/f m '( Aide Cat-Apult, le policier,  vrifier ces identits. (a+3b) c)4/(2a+6b)24a2+24ab+36b2= d)1/2(2a+6b)2 e)4/(a+3b)2F(4x2+y2/9)-4xy/3= h)x+y/3 i)(6x-y)/3 j)2x-y/39/4x2-12xy+16y2= a)(4y-3/2x)2 b)4(y-3x)2 CODE: c)(3/2x-4y)(3/2x+4y)I/[/f+/[/f m/[/fm/[/f mC)E I A   # *,I /[/f J (Chat-Ranger ne dcol-lera qu'avec le boncode!(x+4y)2m)x2+4xy+16y2 n)x2+8xy+16y2 o)x2+4xy+8y2(a3-b3)c)(a+b)(a2+ab-b2) b)(a+b)(a2-ab+b2) a)(a-b)(a2+ab+b2)(x+4y)(x-2y)2s)x3+16y3-12xy2 t)x3+16y3+12xy2 u)x3-16y3-12x2y(5y2-3x2)a)(yF5+xF3)(yF5-xF3) b)(F5y-F3x)F5/3CODE: c)(F3x-F5y)2 I/[/f+/[/f J/[/fm/[/f JNc)E A S A  # *, )O}23)T)9JPKPLPPMPMPN`POPOPPpPQ PQPRPS*PSPTfPTPUvPUPVLPVPVPW"PWYPWPWPWPWPW )E..JPWP23)T)I /[/fI( Compare les rels x et y dans chaque cas. Indique le numro de la proposition corres- pondante :1:x2=y2 2:x2=-y2 3:ni l'un ni l'autre 1/2 x=-3+F2 y= (6F2-11) 1/2 x=2F3+F2 y= (14+4F6) 1/2 x=F5-F3 y= (2F15-8) 1/2 x=F3+1 y=F2(2+F3) I /[/f:/[/fI( 1/2 ( ) =racine carre( )/[/fm/[/fI!b2)E!r1!2!1! # *,I /[/f>@@ Le marchand de toile cire me@ propose une pice  613,65F.@ Sachant que j'en revendrai 1/4@  KID-ORDINE  15F et 3/4 @ CAT-ALOG  10F et que j'aurai@ alors ralis un bnfice de@ 10 %, peux-tu m'indiquer la@ longueur de la pice ?@@@ m@@@ Calcule la quantit @@ revendre et la somme@@ qu'elle rapportera.@ RESOLUTION ALGEBRIQUE DE@ PROBLEMES : MARCHE A SUIVRE@[1-Mathmatisation]@[.]Choisir des inconnues (at-@ tention aux units).@[.]Traduire les lments de@ l'nonc  l'aide des incon-@ nues.@[.]Exprimer  l'aide des qua-@ tions les diverses relations.@[2-Rsolution algbrique]@ S'effectue suivant les rgles@ tablies dans le cours.@[3-Retour au problme pos]@ Les rsultats obtenus doivent@ tre vrifis dans l'nonc. I /[/fG/[/f>/[/f/[/f>~60)E[ t# *,)O23)T))E23)T)I /[/f$@ En combien de jours, toi et@ ton ami Luther pourriez-vous@ galer ma rserve de souris@ qui se monte aujourd'hui @ 42 souris ?@ Attention chacun de nous ne@ doit attraper qu'une souris@ par jour ...@@ jours@@ Et si vous tiez trois ?@@ joursI/[/fO/[/f$@@@@@ Pas besoin... c'est si facile!/[/f/[/f$o 42)E 21< ~# *,I /[/fC@ J'ai t lu prsident du@@ RAT-TARY CLUB. Sur 412 votes@@ j'ai obtenu 22 voix de plus@@ que CAT et GORY les deux au-@@ tres concurrents.@@@ J'ai donc obtenu voix/[/f/[/f@@@ CAT et GORY ont obtenu@@ le mme nombre@@ de voix. I /[/f/[/f~152)E* # *,I /[/fF34 I /[/f/[/f/[/f/[/f~160)E # *,I /[/fhF43 I /[/f/[/fh/[/f/[/fh~166)Eu # *,I /[/fSF55 I /[/f/[/f/[/f/[/f~174)E% @# *,I /[/fF67 I /[/f/[/f/[/f/[/f~182)E # *,I /[/fv@Nous devons nous rendre imm-@diatement  la garden-party@organise par le RAT-TARY CLUB.@Je suis le plus rapide : j'y@serai  20h en courant  30Km/h@Toi plus lent, tu y seras @20h30 puisque tu cours  15Km/h@@ Quelle heure est-il ?@@ h mn@@ Combien de Km avons-nous @ parcourir ? Km/[/f/[/fv@@@ De la vitesse de chacun tu@@peux dduire sous forme d'qua-@@tions, la relation existant@@entre la distance  parcourir@@et le temps mis par chacun ... I /[/f/[/fvv19)Ev3015j # *,I /[/f!@ Ma fort a un primtre de 160@ Km. Mais ce stupide bcheron@ de Bubble Dog en a coup 1Km@ sur sa largeur. Voulant rpa-@ rer son forfait il en reboisa@ 1Km sur la longueur, dimi-@ nuant...  surprise!...@ ma suprmatie de 29 Km2.@@ Quelles taient les dimensions@ initiales de cette fort ?@@ l = Km L = Km@@@@ Ecris les deux relations liant@@ longueur et largeur initia-@@ le  l'ancien primtre et @@ la nouvelle surface.@/[/f/[/f I /[/f c/[/f 26)E54  # *,I /[/f!!!"& 78^14 /[/f/[/f!! I /[/f c/[/f!! 13)E26! !# *,I /[/f"k"y""&320^47 /[/f/[/f"k"y I /[/f c/[/f"k"y 57)E103" "# *,I /[/f#@#N#"&228^45 /[/f/[/f#@#N I /[/f c/[/f#@#N 35)E79" "# *,I /[/f$&2 "Je vous propose trois parties@ de GIN-RUNNY", dit KID CAT@  LU et JO. "Convenons qu'@ chaque partie le perdant dou-@ ble ce que possdent les au-@ tres". Ils jourent.@ KID perdit la 1re partie, LU@ la seconde, JO la 3me. Chacun@ se retrouva alors avec 80@ francs. Quels taient les@ avoirs initiaux ?@@ KID : F@ LU : F@ JO : F@@@@ Exprime en 3 quations ce que@@ chacun possde maintenant@@ en fonction de sa mise@@ initiale./[/f/[/f$ I /[/f%/[/f$~460)E16060& &# *,I /[/f$&'^100/[/f/[/f$& I /[/f%/[/f$&~575)E20075& &# *,I /[/f$''^256/[/f/[/f$' I /[/f%/[/f$'~1472)E512192' '# *,I /[/f$(t(^324/[/f/[/f$(t I /[/f%/[/f$(t~1863)E648243( (# *, )Y    ! )e,! ,,E!)}*%! )*%!**%!2*-*!)*%! )*%!* *%!2*-* !)*%! )*%!**%!2*-*!*5,!*,!*,*? /I*z*o*d*Y*N EXFGHZ @CCD <>>d?6@ 889:;s 3567`*  [ 7* ,*d** #&'(` !"U#* T Xx I*)J*L)J*@ Ici c'est le fief du redouta-@ ble Kid-Cat le matou-matheux@ patte de velours mais griffe@ acre. Mfiance !!! P*)J+i m m m쟼)J* Halte-l, manant ! Viens-tu@ dfier l'illustrissime chat@ boss ? Quelle audace ! il est@ encore temps de renoncer...@ Sinon clique ! X,m `  - -<-_-  P X)J,I)J @ Encore toi!@ Alors, on en redemande ? X `  - -<-_-  *+{ `  - -<-_- `@ RACINES CARREES @ IDENTITES REMARQUABLES @ RESOLUTION D'EQUATIONSP `/ / /1-! ._- P )J.$$$)J @ Alors finie l'aventure ?@ On se fait petit-petit ? P0)J.i m m m)J On ramasse tout juste quel-@ ques points et pfff.. On@ s'clipse ? Pas tmraire.. ~)T*5 ~)T* ~)T*I /[/f/q3 (Kolgato mon cousin dentisteespagnol m'a envoy un signal.Il a extrait les racines car-res du gant Tropofage. V-rifie celles qui sont exactes: 1-F(-5+2)2=9 5-F(-5+20)=1 2-F(-5+22)2=1 6-F(-52+20)2=26 3-F(-52+2)=F27 7-F(-50+2)2=F6 4-F(-52+20)=5 8-F(-50+22)=2b (2-F(-5+22)2=1n(3-F(-52+2)=F27b(6-F(-52+20)2=26@@@@@ Pas besoin...C'est si facile!( PROPRIETE DES RACINES CARREES a et b : rels positifs. Fab=Fa.Fb. Fa/b =Fa/Fb. Fx2 =|x| si xH0 Fx2=x si xI0 Fx2=-x 1/2 n. Fx =x racine carre(x )= n n/2 (Fx) =xI/[/f1E/[/f/q/[/f1s/[/f/qBON!NUL!d3 1)E320314)E35)E361!7)E38)E32 2# *5,)O23)T))E23)T)qI /[/f45<@@@ Je t'embauche pour surveiller@ mon hangar  souris. C'est un@ carr de 2601 m2. Sachant que@ tu cours  2,125 m/s, combien@ de temps mettras-tu pour en@ faire le tour ?@@@ mn s@@@@@ Trouve le primtre@@ d'aprs la surface... I /[/f4/[/f4/[/f1s/[/f4 v01/13)E3v365 5+# *5,I /[/f46j6y5 I /[/f4/[/f46j6y /[/f1s/[/f46j6y v1/013)E3v205 5# *5,F2704N2,6I /[/f47B7Q6 I /[/f4/[/f47B7Q /[/f1s/[/f47B7Q v1/013)E3v405 5# *5,F2809N2,12I /[/f488*7 I /[/f4/[/f488* /[/f1s/[/f488* v1/013)E3v307v 7# *5,F2916N2,4I /[/f8N8Ǽ9w@ Je veux envoyer ce disque @ ma fiance Cat-Imini. Il a@ une surface de 706,85 cm2.@ Calcule la surface de la po-@ chette correspondante.@@@@@@ cm2b (i=3,141592...@@@@@ Que penses-tu du diamtre ? 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Il me dessine un "camembert" repr- sentant les proportions des diffrents grainetiers. Trouve en fonction des donnes leur production respective. A = 50V = kg B = 45V = kg C =110V = kg D = 30V = kg E =125V = kg>432 ././&H` Jd./?./&H`@@@@@ Trop tard pour potasser!@@@@@ Pas besoin...c'est si facile! t60%6}5413236150 # %(SGv./&)H`c>288 ././&)H` Jd./?./&)H` t40%6}368820100L 7# %(SGv./&H`X>504 ././&H` Jd./?./&H` t70%6}6315442175A ,# %(SGv./&H`N>864 ././&H` Jd./?./&H` t120%6}108264723007 "# %(S%1/ #%,%k%6/#%,%;Gv./@@Mes deux amis TOBLE-RHUM,@BOUTIE et moi avons vendu nos@actions de chocolat au second@march au prix de 5F l'unit.@Tandis que BOUTIE vendait ses@126 actions, TOBLE-RHUM obte-@nait 450F des siennes. Moi je@m'en tirais avec 40% des gains.@@@Combien d'actions avions-nous@au total ?@@ actions././@Jd./?./@1800%6 ~# %(S Gv./@*9N 90 V720F^35 ././@*9 Jd./?./@*91800%6] F# %(S Gv./@ JN189 V675F^40 ././@  Jd./?./@ 2700%6 1  # %(S Gv./@ N216 V945F^25 ././@  Jd./?./@ 2700%6   # %(SGv./ K @@ A la foire d'Herculanum, Coton@ le Barbant et moi nous mesu-@ rons au lancer de la masse. En@ appliquant 572 Newton, Coton@ fait monter le tmoin  4,4m.@ Moi, je le fais monter  5,2m.@@@ Quelle force ai-je@ applique ?@@ Newton././ K Jd./?./ K676%6  # %(S Gv./ R `K F616 V4,6 ././ R `K Jd./?./ R `K644%6  n# %(S Gv./  %K cF506 V4,2 ././  %K Jd./?./  %K483%6 J  3# %(S Gv./ K(F462 V5,8 ././ K Jd./?./ K609%6  # %(SGv./L0d@ Deux clubs de BODY-BUILDING@ se partagent les 5 000 habi-@ tants de la Cit des Donnes :@ celui de COKTEL-MAISON et le@ mien.@ D'aprs le@ diagramme ci-@ contre, trou-@ veras-tu les@ pourcentages@ manquants ?@@ Gym chez COKTEL : %@ Muscu chez COKTEL : %@ Muscu chez CARTONNE: %././L0 Jd./?./L026%64024O <# %(SGv./L08.6 000 ././L0 Jd./?./L036,67/36,66/36,68%63020!  # %(SGv./L0.4 000 ././L0 Jd./?./L010%65030 # %(SGv./@@ Les employs de ma salle de@ musculation me demandent une@ augmentation.@@@ Laquelle de ces trois-l est@ la moins avantageuse pour moi?@@ [1-] 2 % par mois@@ [2-] 5,2 % par trimestre@@ [3-] 12 % par an n[1-] 2 % par mois././Jd./?./1C23 # %(S %1/ #%,%k Gv./u n1,7 ~5,4 19,21 ~[2-] 5,4 % par trimestre ././u Jd./?./u12b3 # %(S %1/ #%,%k Gv./  n1,4 ~3,9 18 [3-] 18 % par an ././ Jd./?./123w # %(S %1/ #%,%kGv./@ Nitro et Glycrine m'ont don-@@ n une recette :1l de glycrol@@ et 1l d'acide nitrique donnent@@ 1,8l d'un mlange tonnant.@@ Je voudrais 36 l de ce mlange@@ Combien de litres de glycrol@@ me faudra-t-il ?@@ l././Jd./?./20%6 # %(SGv./-bf45././- Jd./?./-25%6M :# %(SGv./ f27././ Jd./?./15%6 # %(SGv./f63././ Jd./?./35%6 # %(SGv./(O@ "Lance les ds :@@ 5 et 9 t'ouvriront@@ les portes du plai-@@ sir, 7 te fera som-@@ brer dans l'oubli.@@ Sinon rejoue."@@ Programme ces @@ rgles simples.@./;./(O@@@@@ Trop tard pour potasser!@@@@@ Pas besoin, c'est si facile! Jd./e./(O F5/9+%6C e9/5 7 (# &(S%1/ #%,&%6/#%,&Gv./lVh@@@ Pour tracer les@ plans de la pro-@ chaine voiture@ de BAD MASK,j'ai@ besoin des coor-@ donnes x et y@ de la roue @ connaissant son@ rayon r, et ceci@ degr par degr.( Cet algorithme calcule x et y en fonction des sin et cos de J l'angle A qui s'incrmente de 1V  360V../;./lV Jd ././lV BrsinA+%6C KrcosAZ  augmente 361M :# &(SGv./\m @@@ Lors des rceptions@ royales, les pairs@ du royaume reoi-@ vent leurs homolo-@ gues impairs.@@ Complte l'algo-@ rithme permettant@ de trouver les n@ premiers impairs.( N signifie le ime impair. i Exemple : N est le 3me 3 impair soit 5../;./\m Jd ./ 6./\m L2i-1+%6C\  augmente }N  # &(SGv./!b&i)$E@ Parmi tous les@ rectangles dont le@ primtre est 30cm@ quel est@ celui qui@ a la plus@ grande@ aire ?@ Complte@ l'algorithme qui@ donne sa longueur@ (L et l sont en-@ tiers).@@@@@ L'ALGORITHME calcule@@ successivement les aires@@ en faisant varier la largeur.@@@@@ La premire aire calcule,@ A, est mmorise dans R.@ Chacune des suivantes n'est@ place dans R que si elle@ est suprieure. ./;./!b&i) Jd ./##./!b&i) >(15-l)l/l(15-l)+%6C RRh  augmente >W15-l$# $# &(S % ! 'p&    !%G%! %S%!%_%!%(S!2%%_koy%,%% %%%%%%  .  :  ]| k!%%! %%!&%!&2(S!2%&koy%,&2&< &V&K&a&j&u& 2-4O45 +/*01& 6^88 9;B@AJB BEEF!&%! &%!&%!&(S!2%&koy%,&& X!wX. rn I*%'(m¤%' P*%'(ɤ'ɤɤ'ɤɤ'ɤ%'jX)N)n)b)r P*%'',,,%'jX)N)n)b)*@ A mon avis tu ne fais pas le@ poids, mais tu verras, l'exer-@ cice rend beau! Allez il faut@ gonfler ton score.rjX)N)n)b)rjX)N)n)b)*@ Le matre de ces maudits@ buildings est Sylvester@ Cartonne, le bosseur fou.*@ Mais qui vois-je l ? Jo un@ ex du club ! Un peu maigre @ mon got ! Tu manques d'exer-@ cice ! C'est a ton problme.j@ PROPORTIONNALITES@ STATISTIQUES@ ALGORITHMESPj%w&&)! ** P %'*G',ɤ',ɤ',ɤ%' @ En fait de maigrichon t'es@ plutt un gros nul! P(%'*ɤjɤɤjɤ%'(@ Dj des courbatures!@ Mouais, a manque de punch@ tout a!Gv./+,.a@ Le biceps d'or est dcern au@ club qui aura la meilleure@ moyenne de tour de biceps.@ Calcule celle de notre club@ sachant que :@@ Toutancarton: 50 cm.@ Choc Nourrice: 52 cm.@ Coton le Barbant: 57 cm.@ Ramebo: 60 cm.@ Sylvester Cartonne: 49 cm.@@ Moyenne: cm../,./+,Jd./.3./+,( STATISTIQUESLe calcul statistique le plusfrquent consiste  tablir desmoyennes arithmtiques soient n nombres a,,a ,a...a 1 2 3 n M=a +a +...a /n 1 2 n Avant d'effectuer ce calcul,vrifier que les facteurs a isoient homognes, par exemplequ'ils aient t mesurs pen-dant la mme dure.@@@@@ Pas besoin...c'est si facile! 53,6/53,60.%6., ,v# &2(S%1/ #%,&%6/#%,%BON!NUL! Gv./+,/F/S/`/m/z/V52^52f57n57v42 ./,./+,/F/S/`/m/z Jd./.3./+,/F/S/`/m/z52.%6./ /# &2(S Gv./+,0;0J0Y0h0w0V49,5^51,5f56,5n59,5v48,5 ./,./+,0;0J0Y0h0w Jd./.3./+,0;0J0Y0h0w 53,1/53,10.%6.0 0# &2(S Gv./+,1B1Q1`1o1~1V50,5^51,8f56,8n58,9v46,5 ./,./+,1B1Q1`1o1~ Jd./.3./+,1B1Q1`1o1~ 52,9/52,90.%6.1 1# &2(SGv./2?3@ Dans mon programme d'entretien@ je me fixe un objectif de 106@ km de jogging par semaine.@ De lundi  jeudi j'ai couru@ respectivement 11km, 17km,@ 13km et 14km.@@ Combien dois-je courir en@ moyenne par jour, cette fin@ de semaine, pour respecter@ mon programme ?@@ km../,./2? Jd ./3./2?@@@@@ Il reste 3 jours de@ course pour atteindre@ l'objectif.17.%6.3 3p# &2(SGv./2?4c4!.103./,./2?4c Jd ./3./2?4c16.%6.4 4q# &2(SGv./2?55O!.109./,./2?5 Jd ./3./2?518.%6.54 5!# &2(SGv./2?55!.97./,./2?5 Jd ./3./2?514.%6.5 5# &2(SGv./6p7@ Mes biceps ont pas mal grossi@ depuis que j'ai commenc le@ body-building.@ Ils ont d'abord pris 2cm en@ un an, puis 3cm en 6 mois,@ puis 4,5cm ces 4 derniers@ mois.@@ Depuis le dbut de combien@ ont-ils augment en moyenne@ par mois ?@@ cm../,./6pJd./.3./6p 0,5/0,50.%6.7 7# &2(SGv./6p8%838k N4,4N3 ./,./6p8%83 Jd./.3./6p8%830,47/0,46/0,48.%6.8T 8?# &2(SGv./6p8893 N4,2N2 ./,./6p88 Jd./.3./6p880,43/0,42/0,44.%6.9 9# &2(SGv./9;0@ Je souhaite effectuer un cal-@ cul statistique sur le nom-@ bre d'adhrents de mon club@ de musculation :@@ 1re anne : 103 adhrents@ 2me anne : 217 adhrents@ 3me anne : 296 adhrents@ 4me anne : 283 adhrents@@ Combien y a-t-il eu en moyenne@ de nouveaux adhrents chaque@ anne ?@@ nouveaux./,./9Jd./.3./960.%6.; ; # &2(S Gv./9;;;;<N335V285^315f355 ./,./9;;;; Jd./.3./9;;;;20.%6.; ;# &2(S Gv./9<<<<<N250V340^270f320 ./,./9<<<< Jd./.3./9<<<<70.%6.< <# &2(S Gv./9=v====N218V375^375f407 ./,./9=v=== Jd./.3./9=v===63.%6.= =# &2(SGv./>T@@ Sur ma chane de montage Jo @ pose les boulons, Karl les@ visse. Je veux une moyenne@ horaire de 180 boulons. Je@ contrle dans 25mn.@ Combien Jo devra-t-il avoir@ mont de boulons pour raliser@ cette moyenne en travaillant@ rgulirement ? boulons.@ La 1re heure Jo monte 203@ boulons, 198  la 2me et 199@  la 3me. Combien lui faut-il@ en monter  la 4me pour tenir@ sa moyenne ? boulons../,./>TJd./.3./>Tf75.%6.120@ ?# &2(SGv./>T@@>204./,./>T@ Jd./.3./>T@f85.%6.216@ @# &2(SGv./>TA^A>216./,./>TA^ Jd./.3./>TA^f90.%6.264A Al# &2(SGv./>TBBP>192./,./>TB Jd./.3./>TBf80.%6.168B; B(# &2(SGv./BD@ Leich-Lasfalt, le jogger fou@ a gagn le marathon Toulouse-@ Lautrec.@ La 1re heure il a couru @ 15 km/h, puis pendant 30 mn,@ il a couru  10 km/h, enfin@ pendant 2h30 il a couru @ 8 km/h.@@ Quelle a t sa vitesse@ moyenne ?@@@ km/h../,./B Jd ./D ./B@@@@ Avant d'effectuer la moyenne@ des vitesses, pondre (multi-@ plie) chacune d'elles par le@ temps (rapport  l'heure) de@ parcours.10.%6.C C# &2(S Gv./BEE$E0ErF9N8^6 ./,./BEE$E0 Jd ./D ./BEE$E07.%6.ES E<# &2(S Gv./BEEFFDF14N9^7 ./,./BEEF Jd ./D ./BEEF9.%6.F% F# &2(S Gv./BFFFGF12N10^6 ./,./BFFF Jd ./D ./BFFF8.%6.F F# &2(SAp ~,p <* *8) * ) )  +( x  +(z (z x x  x8xy 8 888 88 8 =p&Ap/6Y8-j\8X8[)lP %oZ<\H"` Z9Y9[J` Z9Y9ZM` Z<[I8K` Y9Y9YI8H8K`Y9Y9Y@ `Y0 0$00 9:9 >00 :8::>00:8::>0p? : 9 =0Hp00 HH p00 KJKp00HHLp 00 HHHKp<00 KJp>00p0000 000 00000000 08800000000000 000 000 000 : 9 :000 :8:8:9000 :8:8:9000 :9 9:9000 000 00000>00000 8:9 >0 0:8::>00 :8::>00 9 9 =00 00p0 00 Hp00880 HH p>00 KJKp;00HHLp 00 HHHKp;00 KJp>00p000088000 00000000 000000< :0>H:0 0KH:0 0HJKKJ:0 0HIHHHHHL:0 : 9 ;0HHLKHHH:0 :8:8::0KKHHHJ:0 :8:8::0 K :0 :9 9::0:0 0 :0 0,00*00(00>0 0$00 9:9 >00 :8::>00:8::>0p? : 9 =0H p00 HH p00 KJKp00HHLp 00 HHHKp<00 KJ p>00p000088000 00000000 000: :< : 9 ?<KH:<:8:8:0>HHJJKHH:<:8:8:0 0KLHHHHHH:<:9 9:0 0HHHHHHH:0 0HJHKK:"00. 0PAs( p0o)0-'0-IIJ0-K JII0-IIMIJ0-II I 0-M I 0-IIMI 0-II M 0-'0-)0@0U0,*0,0&0,0'0-?B0 ?@0 ?K JJ0 ?II II0 ?IKIKIIIK0 ?I IIIIIIII0 ?ILIIIIIM0 ?IIIIIIIIII 0 ?KLKKLKK0 ?p'0 ?p'0 ?p'0 ?IIMp'0 ?K p'0 ?I p'0 ?KMp'0 ?IIp'0 ?p'0 ?p'0 ?p'0 ?IIMp'0 ?IIp'0 ?IIp'0 ?LMp'0 ?Ip'0 ?L60 ?@0 ?B0 0'0-0'0-0'0-:L>:J>:pF>:pF>:pF>:pF>:pF>:pF>:pF>:pF>:pF>:J>: IIIJ >: KIJII >: II LK IJ >: II IIII I>: M IIM I>: II IIII>: II LK M>:J>:L>0'0-0'0-0'0-0'0-0'0-0'0-0'0-0'0-0%0+0#0)0!0'0 0<0I 0#0K 0 9:9 <0II0 :8::<0IIM0 :8::<0M0 : 9 ;0 II00 IIM 00,00  pJ00 pII00  pJ:00 p <00p>00p000p0 00p0 00p000000000 <<0!><0 : 9 ?0JI <0 :8:8:00 I<0 :8:8:0 0 LJL<0 :9 9:0 0 IIII<0'0 IIII<0'0 IIII<0'0 IKII<)0 0;0ZA2 h0V0)00'00II00J00JMI00II00II00IMI00KM00'00)00*0*0)0)9*0)90&0)90'0*9?B09?K JJ09?II II09?IKIKIIIK09?I IIIIIIII09?ILIIIIIM09?IIIIIIIIII 09?KLKKLKK09?@09?p 09?III p 09?JIp 09?MJMp 09?MI p 09?IJI p 09?IIIMp 09?IIK p 09?@09?@09?B090'0*90'0*90'0*9:L;9:J;9:pF;9:pF;9:pF;9:pF;9:pF;9:pF;9:pF;9:pF;9:pF;9:J;9: III;9:IJ;9: J LK I;9: I IIII I;9: I IIM I;9: I IIII;9: K LK M;9:J;9:L;90'0*90'0*90'0*90'0*90'0*90%0(90#0&90!0<90 0"900 9:9 <900 :8::<900:8::<90? : 9 ;90I090p090JMp090 I p 090I p<090IMp>090K p0090p0 0900 09000900090 0090!0090#0990%0 990'0 JI 990'0 I990'0 LJL990 : 9 0 0 IIII990 :8:8:0 0 IIII990 :8:8:0 0 IIII990 :9 9:0 0 IKII990'0 990'0 990'0*90'0*90'0*9)0*0V0VA 0v)05'05 KJ 05 HHKHI 05 KHHH 05 HHKIH 05 HIJ 05'05'05 J I 05 HH K 05 HHMI 05 HH I 05 J I 05JMI 05 J I 05'05)0H0]05)050%050&06:I0:G0:KII0:HJHJHHHJ0:HHHHHHHL0:HLHHHHHH0:KKJJKJJ0:G0:p6: 9:p6: 9:I p6: 9:K p6:HH9:IIMp6:II9:IIp6:HHH9:Mp6:HH9:IIMp6:HH9:IIp6: 9:G: 9:G: 9:I: 90&0' 90&0' 90$0% 90"0# 90 0: 90 0 900 9:9 :K900 :8:::H90?:8:::K90> : 9 9HH90JIK 0HH90HHIHH 0 90 LIK  90HHIHH 0 90HHIHI0 800 8800 900 900 90 0 90 0! 9? : 9 0 0# 9?:8:8:0 0% 9?:8:8:0 0&0?:9 9:0 0$00%&90%0$00&0&09L09J09pF09pF09pF09pF09pF09pF09pF09pF09J09J09J09J09J II09HH IK09 HH LK I09 HH IIII I09 J IIM I09 J IIII09J LK I09J09L00&060&060&060&060%050"0200"0 00,00 9:9 0 00 :8::0 0 0:8::0 0J> : 9 0 0 HHHKIK00 HHIHIH0? 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SYQa@%oNˏ'?9x!7I|o|@Eŭ+E75vV 9@{pvP *** Floating point overflow *** *** Floating point division by zero *** Nu# _ ged 9NHy`HyN@t`t _"_0gR@| e.G$S" ghjebb"*f&"`v&A%S"`l&J`ذ|gb*|f8"9g0$A#`""9g$A#`"9g $A#"`"E&R"$b HyN@Jgr"QHd2S@k"QN _"_0" ged gR@ @mz @ e@E"fB3@B$`\&A2+@ef "'I`F"3@B$`8$K`ư|f"#` |f"#` "#NHeap overruns stackPointer NILPointer not in heapHώ _0"_e /LώNuHyLN@/B9϶/|϶NuHώ _0 @f0"|όόp` "_J@jpE϶r4@ BbBS@kQ/LώNuHώ _4SBkt82$_rAdd0 @f0"|όόp` "_J@jp6ADb6CG0IS@k$eQ/LώNuHώ _4k2SAk0"_p6B@bE0)CS@kQ/LώNuHώ _2$_r0 @f0"|όόp` "_J@jp@kS@kv&J$IRC4(K Vg RQBg`?/LώNuHώ _4kF2SAk>0 @f0"|όόp` "_J@jp6B@bE϶SBkQ/LώNuString overflow _ hNVf 0(gr"OD@Hd2S@k "Q` _"ye HyN@N#о#к .f -|`-| nNнкf yоNStack overruns heapH? _z gBjDRE"g8jDRE$6HBJBg8HAJAf,HBJBf$ւi EdD.` $HB8`B/L?Nu0NvDNH|` H| _z f0NjDRE"g`jDREdJgR(`DfxJg<`DxSDbb JgHA8`"tcRЀ`xeWJg(MdD.`B/LNu09Nu _3NByNu[3][][ Abort ]Copyright 1986, CCD and OSS, Inc. , |r&$"&. ( z@6*&4..2.8 .$  *     ($                2  $    $    22..       &  "   4   L  2  :& J       *Br & *(|   ."4     &&00             JT>  D VB(" &:"$           0       *   ,  "        0>,(  &  &   &      &   &      &  "B6(0 & "T                    0             $  *   &               .          ,$         D   & "< *  "6    0   2          "(" & "688 (  (         $ &    .L$2X`.$ * &  $* &  ( * & H  "" $* &" X"       "      Z >,   &                " 0  $               D   &"n       , "   * .        ,0  J                 $            "(" & "D0 0   *    "     *   *  L  "0        "   &     & bl            6 4              R       . vp>HbNTVLJX\  2"$ D$Z(d ($&$:42,0&$*,X<"$>,$8(l*lrh\,&D0T>0,8&&,F.:FFFF*@4n(>2020nD(."F<".&$$6   $LD"2 T &( 0&  >             $"  ,*< * * , , 0 , "h2J X F z  f H F  J  <   , FR ( *@ B @ B V  jZo Y(oYh(ZZY XXXY ( ZX) ZhX [Zk YiXnY)Y\YZYZ ( P)X YhX Y^i Zh(o(X(Z]Y[X Y  ' ) !(Y/X Z(o)hYYXY[YY   \X(X ! Y h*j Z)`(hY YY[X X  X(Y " X Xh*XhY (Y(X` X YYZXX  )Z X"iX(h (X` ) YYYYX (  )X "hh Y (` X( ZYYX  ZX (X!hh[ ` X)X (YYC*M?$/:@( Pour participer  la "Fte des Mers" j'ai besoin d'une aile volante dont voici le plan. Calcule la longueur des tiges d'aluminium ncessaires  la construction de l'aile. A=30V DC=0,9m OD=4m D est milieu de AB OA= m AC= m OB= m OC= m( J Calcule AD en utilisant A puis remarque que le triangle ADO est rectangle en D.( ...PYTHAGORE.Si le triangle ABC est rectan- gle en A, alors on a : AB2+AC2=BC2 J J.Notons B, l'angle en ABC J J cos B=AB/BC sin B=AC/BC J J J tan B=AC/AB= sin B/cos B.sin 0=cos90V=1 sin 90V=cos0=1 sin 60V=cos30V=1/2$/C$/:@ C[ $/$/:@BON!NUL!4,29/4,28/4,3091,8/1,80/1,79/1,814,3/4,3O/4,31/4,293,1/3,10/3,11/3,09 # >C9Cl?$/D 7@ Il existe une rivire souter-@ raine longue de 5Km et deux@ villages sur la terre ferme@ situs respectivement  4Km@ et 3Km de cette rivire.@@ O doit-on creuser,@  la verticale de la@ rivire, le puits de@ splologie I pour@ qu'il soit  gale@ distance des deux@ villages ?@@ AI = m IB = m@@@@@ A l'aide de Pythagore, cris@@ la relation liant les cts de@@ ACI et DIB.@@ CI = ID et AI + IB = AB ...$/C$/D  C[ $/$/D 1,893,2  # ?$/Ec Je suis devant la crique de@@ la mer de la gomtrie. Je@@ dsire connatre la distance@@ sparant A et B, connaissant@@ celles sparant A de C (8,38@@ Km) et B de C (10,5 Km).@@@ AB = KM@@@@@@@Pas besoin... C'est si facile!$/C$/Ec C[$/$/Ec6,33/6,32/6,349 #  ?$/ s Ec ^7,47n12,6 $/C$/ s Ec C[$/$/ s Ec10,15/10,14/10,169  #  ?$/ H WEc ^6,56n14,7 $/C$/ H WEc C[$/$/ H WEc13,15/13,14/13,169 }  f#  ?$/  ,Ec k^5,65n16,8 $/C$/  ,Ec C[$/$/  ,Ec15,82/15,81/15,839 R  ;# ?$/ H @ Je cherche  pntrer Gom-@ tris le palais de corail.@ Pour ce faire il me faut d-@ truire le systme de ferme-@ ture plac au sommet du pont-@ levis.@ Sachant que le canon est dis-@ tant de la rivire de 2,41m et@ que le pont-levis est long de@ 3,29m. Quel angle de@ hausse dois-je donner@  mon canon-laser pour@ viser juste ?@@ degrs. C[ $/ $/ H$/C$/ H@@@@@ Que penses-tu du sinus de@@ cet angle ? 30/29/319  # ?$/eIy La porte d'entre du bassin@ de radoub est compose d'un@ rectangle de 9m sur 5,3m et@ d'un arc de cercle de centre@ O distant de 5,6m de la base.@ Mon voilier mesure 9,70m de@ haut. A ton avis pourrais-je@ y pntrer pour le mettre en@ cale sche ?@@@ hauteur m. C[ $/KN=$/eIyOu$/C$/eIy@@@ Il te manque le rayon du@ cercle OH=OA or OAI est@ rectangle...v9,91/9,90/9,929 # ?$/(Jour de chance au casino deSilicate Iceberg. Retrouve lacombinaison gagnante. COS A=0,5 SIN A=0,871)A=3OV 2)A=60V 3)A=-60V COS B=-0,87 SIN B=0,51)B=-60V 2)B=30V 3)B=150V COS C=0,423 SIN C=-0,9061)C=270V 2)C=295V 3)C=65V TG D=0,37 COS D=-0,941)D=200V 2)D=160V 3)D=340VCombinaison gagnante :C[$/$/$/q$/@@@@@ Trop tard pour potasser!293!2#1M `#  M    ! Y! Pp I*{pH{* Tu attaques le gros morceau :@ tu es ici dans le royaume de@ Greenpeace, baleine  bosse.@ 1 couche de graisse et 2 de@ fard... Je te la laisse...#)f{p)f{p)f{pHA*Hs g    g H* N'est-ce pas ce charmant@ Luther que j'ai aperu l ?@ C'est lui qui t'envoie ? Mes@ problmes sont les tiens.@ Qu'il est mignon !!! d @ VECTEURS  @ EQUATIONS DE DROITES  @ DU COTE DE PYTHAGOREP d  ! A gH   H @ Dj ? Je constate un manque@ certain de persvrance!!! ZlP%$'* ! #<$3 h25y8t:=^ - 11  Q  [ 0 AYqV:CAV:CYV:Cq P dPAxd P-  dPAxdA*Hj g  g  g H* Oh! Il revient me voir!!!@ Comme il est chou! Je ne te@ croyais pas si courageux.@ Allez, finissons-en, j'ai@ un opra tout  l'heure. e dP Axd!0J! <J!J!TJ! `J!J!xJ! J!J!2R!!2R!!2R!A HggH @ Je ne te raccompagne pas.@ J'ai horreur des "zros"!?$/n Trouve les coordonnes des@ points D,H,L manquants pour@ former les 3 paralllogrammes@ ABCD, EFGH et IJFL.@ A(5,9/2) B(1,9/2) C(1/2,5/2)@ E(15/2,7/2) F(6,2) G(2,2)@ I(7/2,2) J(9/2,0)@@ D( ) H( ) L( )@@ Ces 3 points sont:@@ [1-]aligns@ [2-]quelconques@ [3-]en triangle@ isocle@@@@@ Pas besoin...c'est si facile!( VECTEURS.Quels que soient les points A, B,C, du plan, selon Chasles : T T T T T AB+BC=AC=BC-BA T.Si M(x,y) appartient  P(O,i, T T T T j) OM=xi+yj T T T T T T T.(x+y)u=xu+yu x(u+v)=xu+yv T T.Si u=AB xT =x -x yT=y -y u B A u B A$/$/n C[$/$/n ^09:2,5:2/4,5,2,5/9:2,2,5/5:2,4,5/4,5,5:2/2,5/9:29W^ 7:2,7:2/3,5,3,5/7:2,3,5/3,5,7:2^7,0 # 1:2W3W # ~ [1-]aligns>C > C9C$?$/~ /( T T T T T T T T Soient i,j,u,v,w,x,y,z, vec- teurs du plan lis par les relations : T T T T T T T T T T T T u=i-j v=2i+j w=3u-v x=2u+5v T T T T T T y=3w-x z=-4w+x T T T T Exprime w,x,y,z en fonction de T T i et j T T T T T T w= i j x= i j T T T T T T y= i j z= i j$/$/~C[$/$/~ 1"9W -412+3/3 -9 -15+8/8-19   # ?$/!!"/" Fringale et Incisive, 2 re-@ quins-marteaux se donnent@ rendez-vous sur un banc (de@ harengs) au point C(5/2, 3).@ Fringale habite au pt A(2,1)@ et Incisive au pt B(5,6).@ Calcule les coordonnes des@ vecteurs correspondants au@ trajet qu'ils devront suivre.n(( T TAC=V1=( ; ) T TBC=V2=( ; ) $/$/!!"/ C[$/$/!!"/v0,5/1:2"9Wv2 -2,5/-5:2-3" "r#  ?$/!!"/#k# $/$/!!"/#k67/2, 4 C[$/$/!!"/#kv1,5/3:2"9Wv3 -1,5/-3:2-2#| #T#  ?$/!!"/$b$ $/$/!!"/$b69/2, 5 C[$/$/!!"/$bv2"9Wv4 -0,5/-1:2-1$s $K# ?$/%8-'( Pour arriver  l'le de Pques en partant du port P(-1,1/2), le commandant Couchetot doit suivre une route reprsente, en distance et en direction, successivement par les vec- T T teurs u(4,3/2) et v(1,2). Quelles sont les coordonnes de l'le dans le repre ortho- T T gonal li  u et v ?$/$/%8-( T T Trouve le vecteur somme u+v et translate-le en P. C[ $/&$/%8- (4,4)/4,4"9W'k &# ?$/'*!( Donne  mon ami Pakbo le code- radio du port le plus proche. T T T T T CB+AC= d)-BA e)BC f)BA T T T OM/4-MO/2+IM= T T T T g)IM-3OM/4 h)-MI/4 i)OI/2 T T T T T T OI-MI-OM=s)O t)OM u)IM T T T T T 3OG/4-GO=d)OG/2 e)7OG/4 f)OG/4 CODE-RADIO :$/$/'C[$/$/'d"9Wgse* )# ?$/*,( T T Soient i et j deux vecteurs du plan vectoriel, sachant que T T T T T u=4(j/3-i)+i+j/3 T T T T T v=2/9(2j-i)-1/9(7i-j) T T T T T w=4(i-j)+2(i-j/3) Trouve la relation existant T T T entre u,v et w : T T T u= v= w$/$/*@@@@@ Rduis d'abord les galits @@ leur plus simple expression. C[ $/,,$/*3 v"9W -1:2/-0,5,y ,# ?$/-E0( En lanant ma ligne dans la T direction du vecteur u(2,3) sur une distance de trois fois sa longueur j'atteins le pt A(-3,2). O suis-je situe ? Au point( ) C[$/.) $/-E( Recherche l'origine du vecteur T 3u, puisque tu connais les coordonnes de son extrmit.( EQUATIONS DE DROITES.D:ax+by+c=0 et D':a'x+b'y+c'=0 sont // si a'b-ba'=0.D et D' sont perpendiculaires si aa'+bb'=0.La droite de vecteur direc- T teur v(a,b) et passant par A (xA,yA) a pour quation ax+by+ c=0 o a=b b=-a c=ay -bx A A.A,B,C sont aligns si :(x -x )(y -y )-(x -x )(y -y )=0 B A C A C A B A$/.$/-Ev-9,-7090. 0m# >C9CH?$/-1&E1jN B(-4,0) C[$/.) $/-1&E $/.$/-1&Ev-10,-909018 1U# ?$/-1E2)N C(-1,-1) C[$/.) $/-1E $/.$/-1Ev-7,-100901 2# ?$/24 Greenpeace, veut dlimiter une@ zone carre o doit se drou-@ ler la finale de catch  l'eau@"J'ai dtermin l'quation de@ l'un des cts d : 2y-3x+6=0"@@ Trouve l'quation de@ d' parallle @ d passant par A(-3,0)@ x y =0@@ Celle de d'' perpendi-@ culaire  d et d' qui@ passe par A@ x y =0@@@@ d et d' ont le mme vecteur@@ directeur tandis que les@@ vecteurs directeurs de d'@@ et d" sont orthogonaux. C[$/4 $/2$/.$/2 f2090f-3f+63+2+94 4# ?$/57( Un bateau-pirate suivait une route de vecteur directeur T V(-1,2), un de ses canons C(5,4/3) tira perpendiculaire- ment un boulet qui atteignit le mt d'un galion dont la route tait: x-5y+14=0, il sombra avec tous ses trsors. Mais en quel point ? x= y=( T Avec les coordonnes de C et V tu trouveras la route du pirate. Sa perpendiculaire croise la route du galion au point d'impact du boulet. C[$/6 $/5$/.$/5~137:57/2,40/2,4/2,39/2,41090187:57/3,28/3,27/3,297 7# ?$/8:y( La voie de navigation la plus proche a pour vecteur direc- T teur u(-1,1). Mon cargo de ravitaillement est actuel- lement au point A(4,1). J'habite au point B(1,1/2). Quelle est l'quation du tra- jet le plus court que j'aurai  effectuer pour croiser mon cargo sur sa route ? -x y =0@@@@ Le plus court trajet est per-@@ pendiculaire  la voie du@@ cargo dont tu dois trouver@@ l'quation. C[$/9 $/8$/.$/8 +090 +1:2/+0,5:O :h# ?$/;<( A l'preuve de tir des jeux de Posedon, j'ai plac une cible en C(5,5). Je prvois de tirer dans la direction T u(2,1). O devrais-je me placer sur l'axe des ordonnes pour atteindre la cible ? Au point de coordonnes : ( )( Il s'agit de calculer l'inter- section de la droite de T vecteur directeur u passant par C avec l'axe des ordonnes C[$/< $/;$/.$/; 0,5:2/0,2,5090< <# ?$/=r?7@ Mon ami Eddy Sonne claire la@ cour de son palais de cristal.@ Il place un rverbre en@ A(1,0) puis un autre en @ B(7/2,3/2).@ Calcule l'quation de la droi-@ te sur laquelle il devra pla-@ cer un 3me rverbre C, pour@ que ABC soit rectangle en B.@@@@ - x y =0@@@ Calcule les coordonnes du@@ vecteur directeur de (AB)@@ puis l'quation de sa perpen-@@ diculaire en B. 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Prosit ne pouvant grimper@ l-haut qu' pied...@a du abandonner ses chevaux  Je planque les chevaux!@ inutile d'en faire cadeau@  Prosit!  Pourquoi aller chercher un@mauvais coup dans ce repaire de singes. Tendons plutot@ un pige  Prosit ici... @ Non Mac. Ce type qui court@ pieds nus m'intresse... @ Allez on a assez perdu de@ temps! Passe-moi la corde! @ Attends-moi Mike!@ C'est peut-etre un pige! @ JE PRENDS LE LASSO@ POUR GRIMPER L-HAUT!  Shut up triple idiot!@ Qu'est-ce qui te prends@ de brailler comme ? Pas la moindre trace de pas@ S'il faut fouiller tout ce@labyrinthe, on n'a pas fini!  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