{"id":3194,"date":"2026-04-01T17:46:02","date_gmt":"2026-04-01T17:46:02","guid":{"rendered":"https:\/\/pausemaths.fr\/?p=3194"},"modified":"2026-04-01T18:33:30","modified_gmt":"2026-04-01T18:33:30","slug":"proportionnalite-et-en-geometrie","status":"publish","type":"post","link":"https:\/\/pausemaths.fr\/index.php\/2026\/04\/01\/proportionnalite-et-en-geometrie\/","title":{"rendered":"Proportionnalit\u00e9 : Et en G\u00e9om\u00e9trie ?"},"content":{"rendered":"\n
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Exercice n\u00b01 :<\/strong><\/p>\n\n\n\n

On s\u2019int\u00e9resse \u00e0 des rectangles dont l\u2019un des c\u00f4t\u00e9s mesure toujours 3 cm.
On rappelle les formules suivantes : <\/p>\n\n\n\n

P\u00e9rim\u00e8tre = 2 x ( Longueur + largeur )<\/strong> et Aire = Longueur x largeur<\/strong><\/p>\n\n\n\n

Compl\u00e8te le tableau suivants \u00e0 l’aide des deux formules.<\/p>\n\n\n\n

Rectangle<\/td>R1<\/td>R2<\/td>R3<\/td>R4<\/td>R5<\/td>R6<\/td><\/tr>
Deuxi\u00e8me c\u00f4t\u00e9 en cm<\/td>1<\/td>1,5<\/td>2,5<\/td>3<\/td>5<\/td>7<\/td><\/tr>
P\u00e9rim\u00e8tre en cm<\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr>
Aire en cm\u00b2<\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

1\/ Le p\u00e9rim\u00e8tre est-il proportionnelle \u00e0 la longueur du second c\u00f4t\u00e9 ? Justifie.
2\/ L’aire est-elle proportionnelle \u00e0 la longueur du second c\u00f4t\u00e9 ? Justifie<\/p>\n\n\n\n

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Exercice n\u00b02 :<\/strong><\/p>\n\n\n\n

On s\u2019int\u00e9resse maintenant au p\u00e9rim\u00e8tre et \u00e0 l’aire d’un carr\u00e9.
On rappelle les formules suivantes :<\/p>\n\n\n\n

P\u00e9rim\u00e8tre = 4 x C\u00f4t\u00e9 <\/strong> et Aire = C\u00f4t\u00e9 x C\u00f4t\u00e9<\/strong>.<\/p>\n\n\n\n

Compl\u00e8te le tableau suivants \u00e0 l’aide des deux formules.<\/p>\n\n\n\n

Carr\u00e9<\/td>C1<\/td>C2<\/td>C3<\/td>C4<\/td>C5<\/td>C6<\/td><\/tr>
Longueur du c\u00f4t\u00e9<\/td>1<\/td>1,5<\/td>2,5<\/td>3<\/td>5<\/td>7<\/td><\/tr>
P\u00e9rim\u00e8tre en cm<\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr>
Aire en cm\u00b2<\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

1\/ En justifiant ta r\u00e9ponse, dis si le p\u00e9rim\u00e8tre d\u2019un carr\u00e9 est proportionnel \u00e0 son c\u00f4t\u00e9.
2\/ M\u00eame question pour son aire.
3\/ Le p\u00e9rim\u00e8tre est-il proportionnel \u00e0 l’aire ?<\/p>\n\n\n\n

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Exercice n\u00b03 :<\/strong><\/p>\n\n\n\n

Pour cl\u00f4turer le terrain A, on a utiliser 405m de grillage.
Quelle longueur de grillage a-t-on utilis\u00e9 pour grillager la parcelle B ?<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
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Exercice n\u00b04 :<\/strong><\/p>\n\n\n\n

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Un tour de cette grande roue dure 24 min.<\/p>\n\n\n\n

Repr\u00e9senter cette grande roue par un cercle de rayon 6 cm. Marquer la position d\u2019une cabine au moment du d\u00e9part, puis construire la position de cette cabine 10 min apr\u00e8s le d\u00e9part.<\/p>\n<\/div>\n\n\n\n

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\"\"<\/figure>\n<\/div>\n<\/div>\n\n\n\n
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Exercice n\u00b05 :<\/strong><\/p>\n\n\n\n

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\n","protected":false},"excerpt":{"rendered":"

Exercice n\u00b01 : On s\u2019int\u00e9resse \u00e0 des rectangles dont l\u2019un des c\u00f4t\u00e9s mesure toujours 3 cm.On rappelle les formules suivantes : P\u00e9rim\u00e8tre = 2 x ( Longueur + largeur ) et Aire = Longueur x largeur Compl\u00e8te le tableau suivants \u00e0 l’aide des deux formules. Rectangle R1 R2 R3 R4 R5 R6 Deuxi\u00e8me c\u00f4t\u00e9 en […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-3194","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/3194","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/comments?post=3194"}],"version-history":[{"count":35,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/3194\/revisions"}],"predecessor-version":[{"id":3233,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/3194\/revisions\/3233"}],"wp:attachment":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/media?parent=3194"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/categories?post=3194"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/tags?post=3194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}