{"id":984,"date":"2022-09-14T07:31:23","date_gmt":"2022-09-14T06:31:23","guid":{"rendered":"https:\/\/blog.univ-angers.fr\/mathsinfo\/?page_id=984"},"modified":"2022-09-14T13:26:32","modified_gmt":"2022-09-14T12:26:32","slug":"astuces-avec-la-numworks","status":"publish","type":"page","link":"https:\/\/blog.univ-angers.fr\/mathsinfo\/astuces-avec-la-numworks\/","title":{"rendered":"Trucs et astuces avec la NUMWORKS"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">R\u00e9solution d&rsquo;un syst\u00e8me lineaire<\/h3>\n\n\n\n<p>La premi\u00e8re solution pour r\u00e9soudre un syst\u00e8me est de passer par le menu <strong>Solveur<\/strong> :<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-27.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-27.png\" alt=\"\" class=\"wp-image-1006\" width=\"320\" height=\"240\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-27.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-27-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-28.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-28.png\" alt=\"\" class=\"wp-image-1007\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-28.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-28-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption>Affichage de la solution du syst\u00e8me<\/figcaption><\/figure><\/div>\n\n\n\n<p>Une autre possibilit\u00e9 est de rester dans le menu <strong>Calculs<\/strong> et de taper les coefficients dans une matrice :<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-29.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-29.png\" alt=\"\" class=\"wp-image-1009\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-29.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-29-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption>C&rsquo;est tout aussi efficace et rapide<\/figcaption><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Conversion d&rsquo;unit\u00e9s<\/h3>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-30.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-30.png\" alt=\"\" class=\"wp-image-1012\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-30.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-30-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption>Utilisez <strong>shift _<\/strong>, <strong>alpha<\/strong> et <strong>\u2192<\/strong> pour taper les unit\u00e9s<\/figcaption><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Etude d&rsquo;une fonction<\/h3>\n\n\n\n<p>Lorsque l&rsquo;on \u00e9tudie une fonction <strong>f<\/strong>, on a besoin de calculer des images <strong>f(x)<\/strong> pour certains <strong>x<\/strong>, de calculer la d\u00e9riv\u00e9e <strong>f&rsquo;<\/strong> et de chercher les <strong>x<\/strong> qui annulent cette d\u00e9riv\u00e9e. Proc\u00e9dure sur la calculatrice et version XCas :<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/second.png\"><img loading=\"lazy\" decoding=\"async\" width=\"1012\" height=\"1024\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/second-1012x1024.png\" alt=\"\" class=\"wp-image-985\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/second-1012x1024.png 1012w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/second-296x300.png 296w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/second-768x777.png 768w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/second-1518x1536.png 1518w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/second-2024x2048.png 2024w\" sizes=\"auto, (max-width: 1012px) 100vw, 1012px\" \/><\/a><\/figure><\/div>\n\n\n\n<p>On peut \u00e9galement aller plus loin et avoir une id\u00e9e du signe de la d\u00e9riv\u00e9e sur les diff\u00e9rents intervalles :<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-31.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-31.png\" alt=\"\" class=\"wp-image-1014\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-31.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-31-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption>On trace la d\u00e9riv\u00e9e (not\u00e9e <strong>g<\/strong>) mais pas la fonction (cliquez sur <strong>&#8230;<\/strong> puis ne pas <strong>Afficher l&rsquo;\u00e9l\u00e9ment<\/strong>)<\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-32.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-32.png\" alt=\"\" class=\"wp-image-1015\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-32.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-32-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-33.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-33.png\" alt=\"\" class=\"wp-image-1016\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-33.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-33-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption><strong>Calcul &#8211; Calculer &#8211; Z\u00e9ros<\/strong><br>On retrouve <strong>x1 = 0.127<\/strong> et <strong>x2 = 7.873<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<p>La d\u00e9riv\u00e9e est visiblement n\u00e9gative entre &#8211;<strong>\u221e<\/strong> et <strong>x1<\/strong>, positive entre <strong>x1<\/strong> et <strong>x2<\/strong> et n\u00e9gative apr\u00e8s <strong>x2<\/strong> (Utilisez la fl\u00e8che vers la droite pour vous d\u00e9placer \u00e0 droite de <strong>x2<\/strong> et vous convaincre que les valeurs de <strong>g(x)<\/strong> sont n\u00e9gatives)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Tableau de valeurs<\/h3>\n\n\n\n<p>Si l&rsquo;on cherche les images d&rsquo;une fonction <strong>f<\/strong> pour diff\u00e9rentes valeurs <strong>x<\/strong> \u00e0 l&rsquo;aide du menu <strong>Fonctions<\/strong>, on obtient uniquement des valeurs approch\u00e9es :<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-19.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-19.png\" alt=\"\" class=\"wp-image-994\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-19.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-19-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption>D\u00e9finition de la fonction puis <strong>Afficher les valeurs<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-20.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-20.png\" alt=\"\" class=\"wp-image-995\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-20.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-20-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption>En tapant x = 1\/3 et 1\/4 on obtient uniquement les valeurs approch\u00e9es<\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-21.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-21.png\" alt=\"\" class=\"wp-image-996\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-21.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-21-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption>Utilisez plut\u00f4t le menu <strong>Calculs<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Calcul de votre moyenne g\u00e9n\u00e9rale<\/h3>\n\n\n\n<p>Supposons que vous ayez eu les notes 17, 9, 12, 6, 10, 6 et 3 avec les coefficients respectifs 3, 1, 8, 3, 8, 1 et 8. L&rsquo;id\u00e9e est de conserver ces informations sur la calculatrice afin de calculer votre moyenne d\u00e8s que de nouvelles notes arriveront.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-22.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-22.png\" alt=\"\" class=\"wp-image-998\" width=\"320\" height=\"240\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-22.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-22-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption>On entre notes et coefficients dans le menu <strong>Statistiques<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-23.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-23.png\" alt=\"\" class=\"wp-image-999\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-23.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-23-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption>Dans <strong>Stats<\/strong> je lis : 8,875 de moyenne, 25% de mes notes sont &lt; 3, 50 % sont &lt; 10 et 75% sont &lt; 12<\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-24.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-24.png\" alt=\"\" class=\"wp-image-1000\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-24.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-24-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption>Dans le menu calculs, je m\u00e9morise mes notes et coeffs. Utilisez la touche <strong>var<\/strong> pour r\u00e9cup\u00e9rer <strong>V1<\/strong> et <strong>N1<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<p>Vous pouvez alors utiliser ou supprimer <strong>V1<\/strong> et <strong>N1<\/strong>. Une nouvelle note arrive, j&rsquo;ai eu 14 coeff 3.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-25.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-25.png\" alt=\"\" class=\"wp-image-1002\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-25.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-25-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption>Je remets les informations dans <strong>V1<\/strong> et <strong>N1<\/strong> (avec des majuscules)<\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-26.png\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"240\" src=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-26.png\" alt=\"\" class=\"wp-image-1003\" srcset=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-26.png 320w, https:\/\/blog.univ-angers.fr\/mathsinfo\/files\/2022\/09\/image-26-300x225.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption>On peut alors ajouter la note + coeff et trouver sa moyenne dans <strong>Stats<\/strong>.<\/figcaption><\/figure><\/div>\n\n\n\n<p>Se remettre dans le menu <strong>Calculs<\/strong> et m\u00e9moriser <strong>V1<\/strong> et <strong>N1<\/strong> dans <strong>notes<\/strong> et <strong>coeffs<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Humour<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/pbs.twimg.com\/media\/FcIhCk-WQAEP9H7?format=jpg&amp;name=large\" alt=\"Image\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>R\u00e9solution d&rsquo;un syst\u00e8me lineaire La premi\u00e8re solution pour r\u00e9soudre un syst\u00e8me est de passer par le menu Solveur : Une autre possibilit\u00e9 est de rester dans le menu Calculs et de taper les coefficients dans une matrice : Conversion d&rsquo;unit\u00e9s &hellip; <a href=\"https:\/\/blog.univ-angers.fr\/mathsinfo\/astuces-avec-la-numworks\/\">Continuer la lecture <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":4913,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-984","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blog.univ-angers.fr\/mathsinfo\/wp-json\/wp\/v2\/pages\/984","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.univ-angers.fr\/mathsinfo\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blog.univ-angers.fr\/mathsinfo\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blog.univ-angers.fr\/mathsinfo\/wp-json\/wp\/v2\/users\/4913"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.univ-angers.fr\/mathsinfo\/wp-json\/wp\/v2\/comments?post=984"}],"version-history":[{"count":14,"href":"https:\/\/blog.univ-angers.fr\/mathsinfo\/wp-json\/wp\/v2\/pages\/984\/revisions"}],"predecessor-version":[{"id":1018,"href":"https:\/\/blog.univ-angers.fr\/mathsinfo\/wp-json\/wp\/v2\/pages\/984\/revisions\/1018"}],"wp:attachment":[{"href":"https:\/\/blog.univ-angers.fr\/mathsinfo\/wp-json\/wp\/v2\/media?parent=984"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}