{"id":8612,"date":"2023-09-03T07:58:00","date_gmt":"2023-09-03T06:58:00","guid":{"rendered":"https:\/\/exos.education\/fr\/exercice-math-complexes-niveau-terminale-dyslexiques\/"},"modified":"2023-08-21T14:54:22","modified_gmt":"2023-08-21T13:54:22","slug":"exercice-math-complexes-niveau-terminale-dyslexiques","status":"publish","type":"post","link":"https:\/\/exos.education\/fr\/exercice-math-complexes-niveau-terminale-dyslexiques\/","title":{"rendered":"Exercice Math Complexes Niveau Terminale Dyslexiques"},"content":{"rendered":"

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

Nous avons appris en classe que les nombres complexes se repr\u00e9sentent sous la forme a ib, o\u00f9 a est la partie r\u00e9elle et b est la partie imaginaire. Nous avons \u00e9galement vu comment effectuer des op\u00e9rations arithm\u00e9tiques de base avec des nombres complexes.<\/p>\n

**L’exercice**<\/p>\n

Soit z un nombre complexe de forme (a ib), o\u00f9 i est l’unit\u00e9 imaginaire.<\/p>\n

1. Ecrivez le complexe conjugu\u00e9 de z, __________ .
2. Si a = 4 et b = -3, calculez |z| , __________ .
3. S’il vous pla\u00eet, compl\u00e9tez la formule pour un produit: (a ib) * (c-id) = __________ .<\/p>\n

\" **Conseil:** Pour le troisi\u00e8me point, utilisez les connaissances acquises lors des cours pr\u00e9c\u00e9dents sur les multiplications avec i.<\/p>\n

Veillez \u00e0 v\u00e9rifier votre travail avant d’\u00e9changer vos feuilles avec vos voisins pour une \u00e9valuation par les pairs !<\/p>\n

**Les r\u00e9ponses \u00e0 l’exercice**<\/p>\n

1. Le conjugu\u00e9 complexe d’un nombre z de forme a ib serait simplement a-ib.
2. Lorsque a=4 et b=-3, |Z| serait \u221a(4^2 (-3)^2 ) = 5.
3. En multipliant deux complexes : (a ib)*(c-id)=ac-bd i(bc ad).<\/p>\n

Cet exercice sera agr\u00e9able pour vous car il couvre trois aspects cl\u00e9s des nombres complexes – en conjuguant un nombre complexe \" , en calculant son module \"\"(ou magnitude) et en rappelant comment multiplier deux nombres complexes \"\u2716\ufe0f\" . De plus, cet exercice ne comporte pas beaucoup de texte \u00e0 lire \"\"\u2728\" ce qui facilite sa compr\u00e9hension pour nos \u00e9tudiants dyslexiques \"\"<\/p>\n","protected":false},"excerpt":{"rendered":"

**Points importants du cours** Nous avons appris en classe que les nombres complexes se repr\u00e9sentent sous la forme a ib, o\u00f9 a est la partie r\u00e9elle et b est la partie imaginaire. Nous avons \u00e9galement vu comment effectuer des op\u00e9rations arithm\u00e9tiques de base avec des nombres complexes. **L’exercice** Soit z un nombre complexe de forme […]<\/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":[56,7,21,6,5,4,1],"tags":[],"class_list":["post-8612","post","type-post","status-publish","format-standard","hentry","category-terminale","category-mathematiques","category-dyslexiques","category-accessibilite","category-niveaux","category-matieres","category-exercices-pedagogiques-imprimables-et-gratuits"],"_links":{"self":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8612","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=8612"}],"version-history":[{"count":0,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8612\/revisions"}],"wp:attachment":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/media?parent=8612"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/categories?post=8612"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/tags?post=8612"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}