{"id":173,"date":"2008-06-07T15:57:10","date_gmt":"2008-06-07T13:57:10","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/des-tableaux-de-valeurs-avec-xcas\/"},"modified":"2023-10-14T20:13:49","modified_gmt":"2023-10-14T18:13:49","slug":"des-tableaux-de-valeurs-avec-xcas","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/fonctions-avec-xcas\/des-tableaux-de-valeurs-avec-xcas\/","title":{"rendered":"Des tableaux de valeurs avec Xcas"},"content":{"rendered":"

\nNous allons \u00e9voquer diff\u00e9rentes fa\u00e7ons de cr\u00e9er un tableau de valeurs.<\/p>\n

Un exemple<\/h2>\n
\n

Je cherche \u00e0 cr\u00e9er le tableau de valeurs de la fonctions $f(x)=\\dfracx<\/em>x+3<\/em>$ pour $x$ compris entre $-2$ et $3$ avec un pas de 0.5.<\/p>\n

Avec le tableur<\/h2>\n
\n

On commence par cr\u00e9er l’expression<\/strong> :<\/p>\n

\n\nf:=x\/(x+3)\n<\/code>\n<\/font color><\/p>\n

$$ \\dfracx<\/em>x+3<\/em>$$<\/p>\n

On ouvre un tableur :<\/p>\n

Menu Editer –> Ajouter > Tableur<\/strong><\/p>\n

On configure le tableur en compl\u00e9tant le formulaire qui appara\u00eet. <\/p>\n

On peut notamment cocher l’option \u00ab\u00a0graphique\u00a0\u00bb si on veut que le graphe de la fonction apparaisse.<\/p>\n

Dans la case A0, on tape :<\/p>\n

\n\ntablefunc(f,x,-2,0.5)\n<\/code>\n<\/font color><\/p>\n

Xcas calcule alors un tableau similaire \u00e0 ceux cr\u00e9\u00e9s par les calculatrices TI.<\/p>\n

\"table-valeurs.jpg\"<\/p>\n

Pour changer le format des valeurs, il faut adaper les formules de la colonne B \u00e0 partir de la case $B3$. On remplace :<\/p>\n

\n\n=evalf(subst(B$0,A$0,A2))\n<\/code>\n<\/font color><\/p>\n

par<\/p>\n

\n\n=format(subst(B$0,A$0,A2),\"f3\")\n<\/code>\n<\/font color><\/p>\n

puis on \u00ab\u00a0tire\u00a0\u00bb cette formule vers le bas pour la recopier.<\/p>\n

Sans utiliser le tableur<\/h2>\n
\n

On commence par cr\u00e9er la fonction<\/strong> :<\/p>\n

\n\nf(x):=x\/(x+3)\n<\/code>\n<\/font color><\/p>\n

$$x -> \\dfracx<\/em>x+3<\/em>$$<\/p>\n

Pour avoir les valeurs approch\u00e9es avec 3 chiffre apr\u00e8s la virgule, on utlise le format \u00ab\u00a0f3\u00a0\u00bb :<\/p>\n

\n\nprepend(seq([x,format(f(x),\"f3\")],x,-2,3,0.5),[x,\"f(x)\"])\n<\/code>\n<\/font color><\/p>\n

$$\\left[\\beginarray<\/em>cc<\/em>\nx & \\mboxf(x)<\/em> \\\\\n-2 & \\mbox-2<\/em> \\\\\n -1.5 & \\mbox-1<\/em> \\\\\n -1.0 & \\mbox-0.5<\/em> \\\\\n -0.5 & \\mbox-0.2<\/em> \\\\\n 0.0 & 0 \\\\\n 0.5 & \\mbox0.143<\/em> \\\\\n 1.0 & \\mbox0.25<\/em> \\\\\n 1.5 & \\mbox0.333<\/em> \\\\\n 2.0 & \\mbox0.4<\/em> \\\\\n 2.5 & \\mbox0.455<\/em> \\\\\n 3.0 & \\mbox0.5<\/em>\n\\endarray<\/em>\\right] \n$$<\/p>\n

Si on veut le tableau horizontalement :<\/p>\n

\n\ntran(prepend(seq([x,format(f(x),\"f3\")],x,-2,3,0.5),[x,\"f(x)\"]))\n<\/code>\n<\/font color><\/p>\n

$$\n\\left[\\beginarray<\/em>cccccccccccc<\/em>\nx & -2 & -1.5 & -1.0 & -0.5 & 0.0 & 0.5 & 1.0 & 1.5 & 2.0 & 2.5 & 3.0 \\\\\n\\mboxf(x)<\/em> & \\mbox-2<\/em> & \\mbox-1<\/em> & \\mbox-0.5<\/em> & \\mbox-0.2<\/em> & 0 & \\mbox0.143<\/em> & \\mbox0.25<\/em> & \\mbox0.333<\/em> & \\mbox0.4<\/em> & \\mbox0.455<\/em> & \\mbox0.5<\/em>\n\\endarray<\/em>\\right]\n$$<\/p>\n

Si on veut les valeurs exactes, il est important de ne pas rentrer de nombres d\u00e9cimaux dans les param\u00e8tres<\/strong> : On remplacera ainsi le $0.5$ par $\\dfrac1<\/em>2<\/em>$ :<\/p>\n

\n\ntran(prepend(seq([x,f(x))],x,-2,3,1\/2),[x,\"f(x)\"]))\n<\/code>\n<\/font color><\/p>\n

$$\n\\left[\\beginarray<\/em>cccccccccccc<\/em>\nx & -2 & \\dfrac-3<\/em>2<\/em> & -1 & \\dfrac-1<\/em>2<\/em> & 0 & \\dfrac1<\/em>2<\/em> & 1 & \\dfrac3<\/em>2<\/em> & 2 & \\dfrac5<\/em>2<\/em> & 3 \\\\\n&&&&&&&&&&&\\\\\n\\mboxf(x)<\/em> & -2 & -1 & \\dfrac-1<\/em>2<\/em> & \\dfrac-1<\/em>5<\/em> & 0 & \\dfrac1<\/em>7<\/em> & \\dfrac1<\/em>4<\/em> & \\dfrac1<\/em>3<\/em> & \\dfrac2<\/em>5<\/em> & \\dfrac5<\/em>11<\/em> & \\dfrac1<\/em>2<\/em>\n\\endarray<\/em>\\right]\n$$<\/p>\n

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

Nous allons \u00e9voquer diff\u00e9rentes fa\u00e7ons de cr\u00e9er un tableau de valeurs. Un exemple Je cherche \u00e0 cr\u00e9er le tableau de valeurs de la fonctions $f(x)=\\dfracxx+3$ pour $x$ compris entre $-2$…<\/p>\n","protected":false},"author":1,"featured_media":679,"parent":2226,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-173","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"\nDes tableaux de valeurs 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\/fonctions-avec-xcas\/des-tableaux-de-valeurs-avec-xcas\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Des tableaux de valeurs avec Xcas - Maths & Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Nous allons \u00e9voquer diff\u00e9rentes fa\u00e7ons de cr\u00e9er un tableau de valeurs. Un exemple Je cherche \u00e0 cr\u00e9er le tableau de valeurs de la fonctions $f(x)=dfracxx+3$ pour $x$ compris entre $-2$…\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/fonctions-avec-xcas\/des-tableaux-de-valeurs-avec-xcas\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths & Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-14T18:13:49+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/06\/jpg_table-valeurs.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"826\" \/>\n\t<meta property=\"og:image:height\" content=\"1170\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\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=\"2 minutes\" \/>\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\/fonctions-avec-xcas\/des-tableaux-de-valeurs-avec-xcas\/\",\"url\":\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/xcas\/fonctions-avec-xcas\/des-tableaux-de-valeurs-avec-xcas\/\",\"name\":\"Des tableaux de valeurs avec Xcas - 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