{"id":169,"date":"2008-05-25T12:58:21","date_gmt":"2008-05-25T10:58:21","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/surface-et-lignes-de-niveaux-avec-xcas\/"},"modified":"2023-10-14T20:14:08","modified_gmt":"2023-10-14T18:14:08","slug":"surface-et-lignes-de-niveaux-avec-xcas","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/surface-et-lignes-de-niveaux-avec-xcas\/","title":{"rendered":"Surface et lignes de niveaux avec Xcas"},"content":{"rendered":"

\nVoici comment on peut visualiser une surface et des lignes de niveaux avec Xcas.<\/p>\n

A noter que l’on peut choisir de visualiser :\n– un plan $x=k$, $y=k$ ou $z=k$.\n– une ligne de niveau $x=k$, $y=k$ ou $z=k$.<\/p>\n

Programme surface.xws<\/h2>\n
\n

surface.xws.zip<\/a><\/p>\n\n\/* On rentre l’expression de la fonction z=f(x,y).\n *\/\nf:=x^2+y^2 ;\n\/* On rentre les valeurs des bornes.\n *\/\nxmin:=-5 ;\nxmax:=5 ;\nymin:=-5 ;\nymax:=5 ;\n\/* Dans le module suivant, on peut choisir d’afficher des plans de base et les lignes de niveaux associ\u00e9es. \nPour cela, il suffit de remplacer le \u00ab\u00a0:\u00a0\u00bb par un \u00ab\u00a0:=\u00a0\u00bb pour les plans ou les lignes voulus.\nNe pas oublier de relancer la ligne 1.\n *\/\ns:=plotfunc(f,[x=(xmin .. xmax),y=(ymin .. ymax)]) ;\npz:=plan(z=20,’affichage’=(bleu+rempli)) ;\nLz:=affichage(inter(s,pz),bleu+line_width_3) ;\npx:(plan(x=0.5,’affichage’=(vert+rempli))) ;\nLx:(affichage(inter(s,px),vert+line_width_3)) ;\np_y:(plan(y=0.5,’affichage’=(rouge+rempli))) ;\nL_y:(affichage(inter(s,p_y),rouge+line_width_3)) ;\nundef ;\n\/* Afffichage de lignes de niveaux z=constante.\n *\/\nplotcontour(f,[x=(xmin .. xmax),y=(ymin .. ymax)],[5,10,15],’affichage’=bleu) ;\n<\/plain>\n

Les images<\/h2>\n
\n

\"surface.jpg\"<\/p>\n

\"lignes.jpg\"<\/p>\n

<\/math><\/p>\n","protected":false},"excerpt":{"rendered":"

Voici comment on peut visualiser une surface et des lignes de niveaux avec Xcas. A noter que l’on peut choisir de visualiser : – un plan $x=k$, $y=k$ ou $z=k$.…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1637,"menu_order":7,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-169","page","type-page","status-publish","hentry"],"yoast_head":"\nSurface et lignes de niveaux avec Xcas - Maths & Num\u00e9rique<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/surface-et-lignes-de-niveaux-avec-xcas\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Surface et lignes de niveaux avec Xcas - Maths & Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Voici comment on peut visualiser une surface et des lignes de niveaux avec Xcas. A noter que l’on peut choisir de visualiser : – un plan $x=k$, $y=k$ ou $z=k$.…\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/surface-et-lignes-de-niveaux-avec-xcas\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths & Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-14T18:14:08+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/05\/jpg_surface.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/surface-et-lignes-de-niveaux-avec-xcas\/\",\"url\":\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/surface-et-lignes-de-niveaux-avec-xcas\/\",\"name\":\"Surface et lignes de niveaux avec Xcas - 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