{"id":8541,"date":"2023-09-20T22:06:00","date_gmt":"2023-09-20T21:06:00","guid":{"rendered":"https:\/\/exos.education\/fr\/exercice-maths-thales-niveau3eme-malentendants\/"},"modified":"2023-08-21T14:54:31","modified_gmt":"2023-08-21T13:54:31","slug":"exercice-maths-thales-niveau3eme-malentendants","status":"publish","type":"post","link":"https:\/\/exos.education\/fr\/exercice-maths-thales-niveau3eme-malentendants\/","title":{"rendered":"Exercice Maths Thal\u00e8s Niveau3\u00e8me Malentendants"},"content":{"rendered":"

Points importants du cours :<\/p>\n

Rappelons-nous du th\u00e9or\u00e8me de Thal\u00e8s \" : Si une droite coupe deux droites s\u00e9cantesalors elle les partage en segments proportionnels. <\/p>\n

Pour rappeler bri\u00e8vement la mise en forme math\u00e9matique \"du th\u00e9or\u00e8me de Thal\u00e8snous l’utiliserons :
Si (d) est parall\u00e8le \u00e0 [BC] alors on a :
AB\/AC = BD\/DC = AD\/EC <\/p>\n

Cet exercice vous permettra d’appliquer ce th\u00e9or\u00e8me dans un contexte pratique et concret.<\/p>\n

Consignes pour l’exercice \" :<\/p>\n

Sur une cartedeux villages A et B sont distants de 6 cm et un troisi\u00e8me village C est sur la m\u00eame ligne droite \u00e0 4 cm tour. Sur le terrainla distance r\u00e9elle entre A et B est de 18 km.<\/p>\n

\"1\ufe0f\u20e3\" Quel est le rapport de similitude entre le plan et la r\u00e9alit\u00e9 ?
\"2\ufe0f\u20e3\" Calculez distance r\u00e9elle entre A et C.
\"3\ufe0f\u20e3\" Vous d\u00e9cidez ensuite d’ajouter sur votre carte un quatri\u00e8me village D situ\u00e9 10km de A sur cette m\u00eame ligne. Quelle serait sa position sur la carte ?<\/p>\n

Bonne Chance!! \"<\/p>\n

Notez bien que cet exercice vaut pour un total de 6 points :
– Le point num\u00e9ro 1 compte pour un point
– Le point num\u00e9ro 2 compte pour trois points
– Le point num\u00e9ro3 compte \u00e9galement pour deux points<\/p>\n

Vos r\u00e9ponses doivent \u00eatre soigneusement justifi\u00e9es!<\/p>\n

R\u00e9ponses aux questions:<\/p>\n

\"1\ufe0f\u20e3\" Sur la carteAB=6cm repr\u00e9sente dans la r\u00e9alit\u00e9 une distance AB=18km soit apr\u00e8s conversion en m\u00e8tres : AB=18000m.
Le rapport k vaut donc :
k = Grandeur r\u00e9elle \/ Grandeur sur plan
Soit k=18000m \u00f7600cm => k =30.
Le rapport mesure-dimensionnement utilis\u00e9 par cette carte est donc \u00ab\u00a01 centim\u00e8tre repr\u00e9sente donc environ30 m\u00e8tres\u00a0\u00bb .<\/p>\n

\"2\ufe0f\u20e3\" La longueur AC correspond dansla r\u00e9alit\u00e9 \u00e0 AC_plan\u00d7k soit AC_r\u00e9el =4 \u00d7\u200930\u2009=120(m).
Ainsi les villages A Et C sont distant d’environ 120 m.<\/p>\n

\"3\ufe0f\u20e3\" La longueur repr\u00e9sentant les10 km devrait mesurer AD_cartecarte=d\/k =>ADcarte=(10*1000)\/300 \u224834cm.
Vous pouvez ainsi placer correctement votre nouveau villa ge D.<\/p>\n

Cet exercice peut \u00eatre r\u00e9alisable par tous avec ou sans troubles sp\u00e9cifiques gr\u00e2ce au texte clairgrassement accommodant facilement des \u00e9l\u00e8ves malentendants qui n’ont aucun soucis avec ce format texte . Bon courage !\"\"\"\u270f\"<\/p>\n","protected":false},"excerpt":{"rendered":"

Points importants du cours : Rappelons-nous du th\u00e9or\u00e8me de Thal\u00e8s<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[50,7,6,5,4,53,1],"tags":[],"class_list":["post-8541","post","type-post","status-publish","format-standard","hentry","category-malentendants","category-mathematiques","category-accessibilite","category-niveaux","category-matieres","category-3eme","category-exercices-pedagogiques-imprimables-et-gratuits"],"_links":{"self":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8541","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/comments?post=8541"}],"version-history":[{"count":0,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8541\/revisions"}],"wp:attachment":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/media?parent=8541"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/categories?post=8541"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/tags?post=8541"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}