{"id":847,"date":"2022-10-23T13:06:38","date_gmt":"2022-10-23T13:06:38","guid":{"rendered":"https:\/\/campusunivers.com\/?p=847"},"modified":"2022-10-23T13:08:25","modified_gmt":"2022-10-23T13:08:25","slug":"les-equations-du-second-degre-et-discriminant-cours-en-1ere-s","status":"publish","type":"post","link":"https:\/\/campusunivers.com\/?p=847","title":{"rendered":"Les \u00e9quations du second degr\u00e9 et discriminant : cours en 1\u00e8re S"},"content":{"rendered":"\n<p>Les \u00e9quations du second degr\u00e9 avec le discriminant dans un cours de maths en 1\u00e8re S avec les diff\u00e9rentes formules pour r\u00e9soudre l\u2019\u00e9quation.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>I. Fonction polyn\u00f4me du second degr\u00e9<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1.G\u00e9n\u00e9ralit\u00e9s<\/h3>\n\n\n\n<p>D\u00e9finition :<\/p>\n\n\n\n<p>Toute fonction f d\u00e9finie sur <img loading=\"lazy\" decoding=\"async\" src=\"\" alt=\"\\mathbb{R}\" width=\"16\" height=\"12\">par <img loading=\"lazy\" decoding=\"async\" src=\"\" alt=\"f(x)=ax^2+bx+c\" width=\"144\" height=\"20\">avec a,b,c trois nombres r\u00e9els tel que <img loading=\"lazy\" decoding=\"async\" src=\"\" alt=\"a\" width=\"8\" height=\"8\">soit non nul&nbsp;est appel\u00e9e <strong>fonction polyn\u00f4me du second degr\u00e9<\/strong> ou, simplement, <strong>trin\u00f4me<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.Forme canonique<\/h3>\n\n\n\n<p>Th\u00e9or\u00e8me :<\/p>\n\n\n\n<p>Tout fonction f du second degr\u00e9 d\u00e9finie sur <img loading=\"lazy\" decoding=\"async\" src=\"\" alt=\"\\mathbb{R}\" width=\"16\" height=\"12\">par <img loading=\"lazy\" decoding=\"async\" src=\"\" alt=\"f(x)=ax^2+bx+c\" width=\"144\" height=\"20\">avec a,b,c trois nombres r\u00e9els tel que <img loading=\"lazy\" decoding=\"async\" src=\"\" alt=\"a\" width=\"8\" height=\"8\">soit non nul peut s\u2019\u00e9crire de <strong>fa\u00e7on unique<\/strong> sous la forme <img loading=\"lazy\" decoding=\"async\" src=\"\" alt=\"f(x)=a(x- \\alpha )^2+\\beta\" width=\"152\" height=\"23\">.<\/p>\n\n\n\n<p>Cette forme est appel\u00e9e la <strong>forme canonique<\/strong> du trin\u00f4me&#8230;<\/p>\n\n\n\n<p>La courbe repr\u00e9sentative de f est appel\u00e9e la <strong>parabole et son \u00e9quation est<\/strong>&#8230; <\/p>\n\n\n\n<p>Lire la Suite via le lien suivant: <a href=\"https:\/\/campusunivers.com\/wp-content\/uploads\/2022\/10\/equationsduseconddegreetdiscriminantcoursen1eres.pdf\">https:\/\/campusunivers.com\/wp-content\/uploads\/2022\/10\/equationsduseconddegreetdiscriminantcoursen1eres.pdf<\/a> <\/p>\n\n\n\n<p> <\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/campusunivers.com\/wp-content\/uploads\/2022\/10\/equationsecondegre.jpg?resize=800%2C600&#038;ssl=1\" alt=\"\" class=\"wp-image-852\" width=\"800\" height=\"600\" srcset=\"https:\/\/i0.wp.com\/campusunivers.com\/wp-content\/uploads\/2022\/10\/equationsecondegre.jpg?w=480&amp;ssl=1 480w, https:\/\/i0.wp.com\/campusunivers.com\/wp-content\/uploads\/2022\/10\/equationsecondegre.jpg?resize=300%2C225&amp;ssl=1 300w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<p><strong>Source&nbsp;:<\/strong><a href=\"https:\/\/maths-pdf.fr\/les-equations-du-second-degre-et-discriminant-cours-en-1ere-s-1383\">https:\/\/maths-pdf.fr\/les-equations-du-second-degre-et-discriminant-cours-en-1ere-s-1383<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Les \u00e9quations du second degr\u00e9 avec le discriminant dans un cours de maths en 1\u00e8re S avec les diff\u00e9rentes formules<\/p>\n","protected":false},"author":1,"featured_media":849,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"colormag_page_container_layout":"default_layout","colormag_page_sidebar_layout":"default_layout","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3,12],"tags":[],"class_list":["post-847","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-etudes","category-reussir-au-lycee"],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/campusunivers.com\/wp-content\/uploads\/2022\/10\/equationsecondegreplus.jpg?fit=1280%2C720&ssl=1","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/campusunivers.com\/index.php?rest_route=\/wp\/v2\/posts\/847","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/campusunivers.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/campusunivers.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/campusunivers.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/campusunivers.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=847"}],"version-history":[{"count":2,"href":"https:\/\/campusunivers.com\/index.php?rest_route=\/wp\/v2\/posts\/847\/revisions"}],"predecessor-version":[{"id":853,"href":"https:\/\/campusunivers.com\/index.php?rest_route=\/wp\/v2\/posts\/847\/revisions\/853"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/campusunivers.com\/index.php?rest_route=\/wp\/v2\/media\/849"}],"wp:attachment":[{"href":"https:\/\/campusunivers.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=847"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/campusunivers.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=847"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/campusunivers.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=847"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}