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::t@W\\HKAsyvY:::XGW\\H;jUsyvY:::::::::::::::::::::::::::::::::::::::: ::::::::::::::tBW\\HKqryvY:::::::::::::::::JA;W\\h;xI::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::bC :vY:::::::::::J\\CkdB:jysy^VLFC@:nTjy;::::::::::::C`>=Je;yA::::::::::Z ::xI::::::::::::::bMnCJA;W\\Hlysy:::::::::::::::::::::::vPt>W:RlvYxI:::::::::::::::::::::::i?nCjysy:ZqryvY::::::::::::::::: ::tBbMnGxIyA:vPJa:yay=::::::::::::::::::::::::::t@W\\H;:::::JqryvY:::: :::::::::::::::::::::::::::::::::::::::::::::::::::tBbMnGjy;:::::::::: :::::::W>nCt@ry::vPJa:yay=:::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::<:ry::::::::::::::ZZ@NbM:Zymy;:::::::::::::::::::::::i? nCjysy:ZqryvY:::::::::::::::::::XGi_ql^;yA:vPt>W:::::b]vYxI::::::::::::::::::::::::::::::::::::::::: ::::::::::::::roZql^;yA:::::::::::::::::vTjUSlZy=:jUcMnCjysy:::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::Z::xI:::::::::::::::W \\H;JqryvY:::::::::::::::::::::::jU;W:1:" }{TEXT -1 0 "" }}{PARA 258 "" 0 "" {TEXT 369 11 "CHAPITR E 6:" }{TEXT 371 1 "\n" }{TEXT 370 24 "LES FONCTIONS GRAPHIQUES" }} {PARA 19 "" 0 "" {TEXT -1 39 "\251 Apprendre Maple. Alain Le Stang. 20 06" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT 256 26 "GRAPHIQUES EN DIMENSION 2:" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 12 "La fonction " }{TEXT 374 10 "smartplot " }{TEXT 376 0 "" }{TEXT -1 75 "constitue la fa\347on la plus simple de repr \351senter une ou plusieurs fonctions" }{TEXT 375 1 ":" }{TEXT 377 2 " \n" }{TEXT -1 34 "Par d\351faut , le range est -10..10." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "smartplot(cos(2*x)+sin(x),x);" }}} {PARA 13 "" 1 "" {NEWSMARTPLOT2D 244 191 191 "[cos(2*x)+sin(x), x, _No Y, color = red, legend = \"Curve 1\"], [x, x, _NoY, color = blue, lege nd = \"Curve 2\"]" {PLOTDATA 2 "6&-%'CURVESG6%7cw7$$!#5\"\"!$\"3\"zhFq sJ5_*!#=7$$!3Gmm;HU,\"*)*!#<$\"3'o-TRex`/\"F17$$!3cKLLe%G?y*F1$\"3-x$Q y&*>^5\"F17$$!3[+]i:?ya(*F1$\"33z!GP7MS6\"F17$$!3gmm\"HdNvs*F1$\"3`_kj vCO?6F17$$!3sK$3-8*G+(*F1$\"3tlU'pdGS7\"F17$$!3i++](oUIn*F1$\"3F)Hx=Sj 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plusieurs fonctions, utiliser " }{TEXT 257 15 "plot(f , h , v)" } {TEXT -1 4 " ou " }{TEXT 258 17 "plot(f, h, v,...)" }{TEXT -1 3 " o \371" }}{PARA 0 "" 0 "" {TEXT 259 1 "f" }{TEXT -1 32 " : fonction(s) r epr\351sent\351e(s) , " }{TEXT 260 1 "h" }{TEXT -1 4 " et " }{TEXT 261 1 "v" }{TEXT -1 52 " : intervalle horizontal et vertical (option nels)." }}{PARA 0 "" 0 "" {TEXT -1 31 "La syntaxe la plus simple est \+ " }{TEXT 262 8 "plot(f) " }{TEXT -1 3 "ou " }{TEXT 263 18 " plot(f(x), x=a..b)" }{TEXT -1 2 " :" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "f:=x->cos(2*x)+sin(x):plot(f(x),x=-2*Pi..2*Pi );" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 210 177 177 {PLOTDATA 2 "6%-%'CURVESG6$7cv7$$!3)****>YH&=$G'!#<$\"3E'efD,+ ++\"F*7$$!3/=xN:vq9iF*$\"3kIog?01f5F*7$$!3ANa4O(Hi9'F*$\"3qYlXL\"[#*4 \"F*7$$!3!QHkk%3*>6'F*$\"3![y%3sZJ76F*7$$!3S_J$o&>vxgF*$\"3()*Q;1Um27 \"F*7$$!3)4,-s18N/'F*$\"3qP$)f&o\"oC6F*7$$!3dp3dxTF4gF*$\"3Cvnw'ffT7\" 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" }}{PARA 0 "" 0 "" {TEXT -1 4 " " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 264 7 "scaling" } {TEXT -1 67 "= CONSTRAINED (rep\350re orthonormal) ou UNCONSTRAINED (rep\350re non " }}{PARA 0 "" 0 "" {TEXT -1 59 " ort honormal) .Par d\351faut : UNCONSTRAINED." }}{PARA 0 "" 0 "" {TEXT -1 3 " " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 265 4 "axes" }{TEXT -1 63 "= Sp\351cifie le type d'axes : FRAMED , BOXED, NORMAL , et NO NE." }}{PARA 0 "" 0 "" {TEXT -1 3 " " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 266 6 "coords" }{TEXT -1 1 "=" }{TEXT 267 5 "polar" }{TEXT -1 60 " Indique une courbe param\351trique en coordonn\351es polair es." }}{PARA 0 "" 0 "" {TEXT -1 17 " " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 268 9 "numpoints" }{TEXT -1 1 "=" }{TEXT 269 1 "n" }{TEXT -1 66 " Sp\351cifie le nombre minimum de points \340 \+ \352tre g\351n\351r\351s (d\351faut " }{TEXT 270 6 "n = 49" }{TEXT -1 2 ")." }}{PARA 0 "" 0 "" {TEXT -1 3 " " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 271 10 "resolution" }{TEXT -1 1 "=" }{TEXT 272 1 "n" } {TEXT -1 57 " Sp\351cifie la r\351solution horizontale en pixels (d \351faut " }{TEXT 273 7 "n = 200" }{TEXT -1 2 ")." }}{PARA 0 "" 0 "" {TEXT -1 3 " " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 274 5 "color " }{TEXT -1 1 "=" }{TEXT 275 1 "n" }{TEXT -1 45 " Sp\351cifie la cou leur des courbes \340 tracer ." }}{PARA 0 "" 0 "" {TEXT -1 5 " " } }{PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 276 10 "xtickmarks" }{TEXT -1 1 "=" }{TEXT 277 1 "n" }{TEXT -1 4 " " }{TEXT 279 10 "ytickmarks" } {TEXT -1 1 "=" }{TEXT 278 1 "n" }{TEXT -1 51 " Sp\351cifie le nombre de graduations sur l'axe des " }{TEXT 280 1 "x" }{TEXT -1 8 " ou des \+ " }{TEXT 281 1 "y" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 3 " " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 282 5 "style" }{TEXT -1 1 "=" }{TEXT 283 1 "s" }{TEXT -1 48 " Sp\351cifie le style du trac\351 : \+ par d\351faut LINE" }}{PARA 0 "" 0 "" {TEXT -1 76 " POINT (trac \351 point par point) , LINE (points reli\351s par des segments) " }} {PARA 0 "" 0 "" {TEXT -1 84 " PATCH (style pour les polygones) , S PLINE (points reli\351s par une courbe spline)" }}{PARA 0 "" 0 "" {TEXT -1 3 " " }}{PARA 0 "" 0 "" {TEXT 284 7 "discont" }{TEXT 297 1 "=" }{TEXT 285 1 "s" }{TEXT -1 9 " Mettre " }{TEXT 286 1 "s" }{TEXT -1 59 " \340 la valeur bool\351enne true pour des fonctions discontinu es" }}{PARA 0 "" 0 "" {TEXT -1 3 " " }}{PARA 0 "" 0 "" {TEXT 287 5 " title" }{TEXT -1 1 "=" }{TEXT 288 1 "t" }{TEXT -1 43 " Sp\351cifi e le titre pour le graphique (" }{TEXT 289 1 "t" }{TEXT -1 9 " de type " }{TEXT 290 6 "string" }{TEXT -1 2 ")." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 294 12 "thickness=n " }{TEXT -1 36 " Sp \351cifie l'\351paisseur du trait , (" }{TEXT 291 11 "n = 0, 1, 2" } {TEXT -1 5 ", ou " }{TEXT 292 1 "3" }{TEXT -1 12 " , d\351faut : " } {TEXT 293 1 "0" }{TEXT -1 3 " )." }}{PARA 0 "" 0 "" {TEXT -1 3 " " } }{PARA 0 "" 0 "" {TEXT 295 11 "linestyle=n" }{TEXT -1 77 " Sp\351ci fie le motif des lignes trac\351es . (lignes pleines : 0 et 1, d'autre s" }}{PARA 0 "" 0 "" {TEXT -1 79 " valeurs plus g randes donnent des pointill\351s par exemple)." }}{PARA 0 "" 0 "" {TEXT -1 3 " " }}{PARA 0 "" 0 "" {TEXT 296 10 "symbol=s " }{TEXT -1 72 " Sp\351cifie le symbole de repr\351sentation d'un point : BOX , CROSS, CIRCLE" }}{PARA 0 "" 0 "" {TEXT -1 19 "POINT, et DIAMOND. " } }{PARA 0 "" 0 "" {TEXT -1 3 " " }}{PARA 0 "" 0 "" {TEXT 298 10 "font =liste" }{TEXT -1 86 " Polices des caract\350res affich\351s . lis te est une liste [famille, style, taille] ," }}{PARA 0 "" 0 "" {TEXT -1 66 " famille : TIMES, COURIER, HELVETICA, SYMBO L. " }}{PARA 0 "" 0 "" {TEXT -1 80 " Pour TIMES, l e style est ROMAN, BOLD, ITALIC ou BOLDITALIC." }}{PARA 0 "" 0 "" {TEXT -1 78 " Pour HELVETICA et COURIER style omis ou BOLD, OBLIQUE, ou" }}{PARA 0 "" 0 "" {TEXT -1 63 " \+ BOLDOBLIQUE. Pour SYMBOL , pas de style ." }}{PARA 0 "" 0 "" {TEXT -1 3 " " }}{PARA 0 "" 0 "" {TEXT 299 51 "titlefont=liste , axe sfont=liste , labelfont=liste " }{TEXT -1 128 " Polices des caract \350res affich\351s pour le titre,les graduations des axes,les l\351ge ndes des axes (pour liste , voir font=liste)." }}{PARA 0 "" 0 "" {TEXT -1 3 " " }}{PARA 0 "" 0 "" {TEXT 300 33 "view=[xmin .. xmax,ym in .. ymax] " }{TEXT -1 56 " Sp\351cifie la zone de dessin \340 rep r\351senter \340 l'\351cran ." }}{PARA 0 "" 0 "" {TEXT -1 3 " " }} {PARA 0 "" 0 "" {TEXT 301 45 "Repr\351senter un ensemble de plusieurs \+ courbes:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "plot(\{sin(x),x, x-x^3/6\}, x=-2..2,thickness=2,scali ng=CONSTRAINED);" }}{PARA 13 "" 1 "" {GLPLOT2D 153 128 128 {PLOTDATA 2 "6)-%'CURVESG6$7S7$$!\"#\"\"!$!3Snmmmmmmm!#=7$$!3MLLL$Q6G\">!#<$!3=m aDV*QOY(F-7$$!3bmm;M!\\p$=F1$!3sk\"[Z$[aQ!)F-7$$!3MLLL))Qj^U-'fpt$*F-7$$!3&*****\\nU)*=9F1$!3Kvg)* *HHzU*F-7$$!3SLL$3WDTL\"F1$!3ueN5&)>f$Q*F-7$$!35++]d(Q&\\7F1$!3wPu?p8y V#*F-7$$!3gmmmc4`i6F1$!3NZtbw2v1!*F-7$$!3KLLLQW*e3\"F1$!31jW'y0g[s)F-7 $$!3w++++()>'***F-$!3I'zI4'>VJ$)F-7$$!3E++++0\"*H\"*F-$!3+X!4izVtF-7$$!3\\LLL3k(p`(F-$!34-`

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" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 327 8 "textplot" }{TEXT -1 33 " permet d'\351crire sur un dessin . " } }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 391 11 "density plot" }{TEXT -1 4 " et " }{TEXT 392 11 "contourplot" }{TEXT -1 62 " pe rmettent de tracer respectivement des graphes de densit\351 ou" }} {PARA 0 "" 0 "" {TEXT -1 22 "des courbes de niveau." }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 328 7 "display" }{TEXT -1 87 " permet de repr\351senter plusieurs objets graphiques de nature \351ve ntuellement diff\351rentes" }}{PARA 0 "" 0 "" {TEXT -1 32 "sur un m \352me graphique. L'option " }{TEXT 389 16 " insequence=true" }{TEXT -1 39 " permet de le transformer en animation." }}{PARA 0 "" 0 "" {TEXT 329 8 "Exemple:" }{TEXT -1 59 " trac\351 du cercle c de centre O de rayon 1, de la droite d: " }{XPPEDIT 19 1 "y=x" "6#/%\"yG%\"xG" } {TEXT -1 17 ", de l'ellipse e " }}{PARA 0 "" 0 "" {TEXT -1 11 "d'\351q uation " }{XPPEDIT 19 1 "x^2/4+y^2=1" "6#/,&*&%\"xG\"\"#\"\"%!\"\"\"\" \"*$%\"yGF'F*F*" }{TEXT -1 33 ",dans un m\352me rep\350re orthonormal. 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\"#gF)F+" 1 2 0 1 10 0 2 1 1 2 2 1.000000 60.000000 -45.000000 1 0 "Cu rve 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 52 "Comme pour la dimension 2 , on retrouve les options " }{TEXT 334 43 "axes , scaling , tickmar ks , title , view ," }}{PARA 0 "" 0 "" {TEXT 333 9 "numpoints" }{TEXT -1 22 " (par d\351faut 625) et :" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT 335 22 "labels = [`x`,`y`,`z`]" }{TEXT -1 22 " p our nommer les axes." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT 336 25 "orientation = [theta,phi]" }{TEXT -1 57 " pr\351cise l es angles de vision en coordonn\351es sph\351riques ." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 337 14 "projection = r" } {TEXT -1 9 " , avec " }{TEXT 338 1 "r" }{TEXT -1 55 " r\351el de [0,1 ] . FISHEYE=0 , NORMAL=0.5 , ORTHOGONAL=1." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 339 12 "grid = [m,n]" }{TEXT -1 35 " d \351termine la grille rectangulaire " }{TEXT 340 5 "m x n" }{TEXT -1 22 " (par d\351faut 25 x 25)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT 341 10 "style = s " }{TEXT -1 6 " ( o\371 " } {TEXT 342 1 "s" }{TEXT -1 44 " parmi POINT,HIDDEN,PATCH,WIREFRAME,CONT OUR," }}{PARA 0 "" 0 "" {TEXT -1 73 " PATCHNOGRID,PAT CHNOCONTOUR,LINE . Par d\351faut : HIDDEN )" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 343 23 "ambientlight = [r,v,b] " } {TEXT -1 68 "fixe l'intensit\351 des couleurs rouge,vert,bleu (valeurs dans [0,1]) ." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 344 10 "colour = c" }{TEXT -1 19 " fixe la couleur \340 " } {TEXT 345 1 "c" }{TEXT -1 2 " ." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT 346 25 "light = [phi,theta,r,v,b]" }{TEXT -1 73 " fixe l'\351clairage de la surface selon les angles phi,theta en coor donn\351es" }}{PARA 0 "" 0 "" {TEXT -1 29 "sph\351riques avec les coul eurs " }{TEXT 347 5 "r,v,b" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 348 11 "shading = s" }{TEXT -1 6 " ( o \371 " }{TEXT 349 1 "s" }{TEXT -1 61 " parmi XYZ,XY,Z,ZGREYSCALE,ZHUE, NONE ) pour pr\351ciser la fa\347on" }}{PARA 0 "" 0 "" {TEXT -1 30 "do nt la surface est colori\351e ." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT 350 10 "coords = c" }{TEXT -1 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