{"id":2824,"date":"2023-12-06T14:59:14","date_gmt":"2023-12-06T13:59:14","guid":{"rendered":"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=2824"},"modified":"2025-12-05T12:24:04","modified_gmt":"2025-12-05T11:24:04","slug":"l-antartique","status":"publish","type":"post","link":"https:\/\/math.univ-lyon1.fr\/dream\/?p=2824","title":{"rendered":"L’Antarctique"},"content":{"rendered":"\n

\n\t\t\t\u00c9nonc\u00e9 du probl\u00e8me\t<\/h2>\n\tQuelle est la distance entre le P\u00f4le Sud et le Mont Menzies ?
\nUtilisez l’\u00e9chelle de la carte pour faire votre estimation.<\/em>\n

Estimez l’aire de l’Antarctique en utilisant l’\u00e9chelle de cette carte.<\/p>\nMontrez comment vous avez proc\u00e9d\u00e9 et expliquez comment vous avez fait votre estimation.
\nVous pouvez dessiner sur la carte si cela vous aide pour votre estimation.<\/em>\n\t\t\t\t\"image1\"\n\t\t\t\n\t\t\t\t\t\tRetour Panier \u00e0 probl\u00e8mes\n\t\t\t\t\t<\/a>\n\t

Comp\u00e9tences transversales<\/h3>\n\u2666 Diversifier des strat\u00e9gies de recherche.
\n\u2666 Prendre des initiatives.
\n\u2666 Travailler par approximation successive, faire des choix.
\n\u2666 Se documenter, s’interroger sur la pertinence d’un r\u00e9sultat.\n\t

Connaissances math\u00e9matiques<\/h3>\n\u2666 Ramener le calcul d’aire \u00e0 la somme d’aire de figures usuelles (carr\u00e9, rectangle, triangle. . .).
\n\u2666 Utiliser une \u00e9chelle sur une carte, pratiquer des calculs de quatri\u00e8me proportionnelle.
\n\u2666 Utiliser des formules alg\u00e9briques pour calculer des aires.
\n\u2666 Utiliser des formules issues de documents historiques (formule de H\u00e9ron, de Brahmagupta, de Pick . . .).
\n\u2666 Pratiquer des conversions entre diff\u00e9rentes unit\u00e9s.
\n\u2666 S’interroger sur les grandeurs obtenues et comparer avec superficies connues (par exemple celle de la France).
\n\u2666 Utiliser ou d\u00e9couvrir que la multiplication des distances par un nombre k, multiplie les
\naires par k2<\/sup>.\n\t\t\t\n\t\t\t\t\t\t\tT\u00e9l\u00e9charcher le document complet\n\t\t\t<\/a>\n\n","protected":false},"excerpt":{"rendered":"

Comment estimer la distance entre le P\u00f4le Sud et le Mont Menzies, et l\u2019aire de l\u2019Antarctique\u202f? Utilisez l\u2019\u00e9chelle de la carte et expliquez votre m\u00e9thode.<\/p>\n","protected":false},"author":3,"featured_media":2532,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[107],"tags":[],"niveau":[113,114],"type_situation":[116],"theme_maths":[121],"probleme_associe":[],"type-expe":[],"class_list":["post-2824","post","type-post","status-publish","format-standard","has-post-thumbnail","category-situation-probleme","niveau-cycle-4","niveau-lycee","type_situation-situation-probleme","theme_maths-grandeurs-et-mesures","czr-hentry"],"rttpg_featured_image_url":{"full":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1.jpg",561,600,false],"landscape":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1.jpg",561,600,false],"portraits":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1.jpg",561,600,false],"thumbnail":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1-150x150.jpg",150,150,true],"medium":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1-281x300.jpg",281,300,true],"large":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1.jpg",561,600,false],"1536x1536":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1.jpg",561,600,false],"2048x2048":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1.jpg",561,600,false],"tc-grid-full":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1-561x444.jpg",561,444,true],"tc-grid":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1-561x350.jpg",561,350,true],"tc-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1-270x250.jpg",270,250,true],"slider-full":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1-561x200.jpg",561,200,true],"slider":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1-561x200.jpg",561,200,true],"tc-sq-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1-510x510.jpg",510,510,true],"tc-ws-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1.jpg",561,600,false],"tc-ws-small-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1-528x297.jpg",528,297,true],"tc-slider-small":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/image1-517x94.jpg",517,94,true]},"rttpg_author":{"display_name":"St\u00e9phanie CROQUELOIS","author_link":"https:\/\/math.univ-lyon1.fr\/dream\/?author=3"},"rttpg_comment":0,"rttpg_category":"Situation Probl\u00e8me<\/a>","rttpg_excerpt":"Comment estimer la distance entre le P\u00f4le Sud et le Mont Menzies, et l\u2019aire de l\u2019Antarctique\u202f? Utilisez l\u2019\u00e9chelle de la carte et expliquez votre m\u00e9thode.","_links":{"self":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/2824","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2824"}],"version-history":[{"count":11,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/2824\/revisions"}],"predecessor-version":[{"id":3798,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/2824\/revisions\/3798"}],"wp:attachment":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2824"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2824"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2824"},{"taxonomy":"niveau","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fniveau&post=2824"},{"taxonomy":"type_situation","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype_situation&post=2824"},{"taxonomy":"theme_maths","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftheme_maths&post=2824"},{"taxonomy":"probleme_associe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fprobleme_associe&post=2824"},{"taxonomy":"type-expe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype-expe&post=2824"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}