{"id":19,"date":"2013-03-31T00:34:23","date_gmt":"2013-03-30T23:34:23","guid":{"rendered":"http:\/\/www.lovemaths.fr\/blog\/?p=19"},"modified":"2013-03-31T00:45:20","modified_gmt":"2013-03-30T23:45:20","slug":"y-3%e2%88%9a16-x22x17-et-y-3%e2%88%9a16-x22x17-quest-ce-que-cest","status":"publish","type":"post","link":"https:\/\/www.lovemaths.fr\/blog\/?p=19","title":{"rendered":"y = 3\u221a[(16-x^2)\/(2x+17)] et y = -3\u221a[(16-x^2)\/(2x+17)] qu\u2019est-ce que c\u2019est ?"},"content":{"rendered":"<p><a href=\"http:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-32 alignleft\" alt=\"func\" src=\"http:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func2.png\" width=\"268\" height=\"60\" \/><\/a><\/p>\n<p>qu&rsquo;est-ce que c&rsquo;est ?<\/p>\n<p>&nbsp;<\/p>\n<p>Voil\u00e0 une dr\u00f4le de question\u00a0! Commen\u00e7ons par \u00e9tudier les deux fonctions associ\u00e9es.<\/p>\n<p style=\"text-align: justify;\"><a href=\"http:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func3.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-35 alignleft\" alt=\"func\" src=\"http:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func3-300x151.png\" width=\"300\" height=\"151\" srcset=\"https:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func3-300x151.png 300w, https:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func3.png 334w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>On nous dit que l\u2019ensemble de d\u00e9finition pour ces deux fonctions est ]-\u221e ;-17\/2[ U [-4\u00a0;4] et que les tableaux de variations sont respectivement ceux repr\u00e9sent\u00e9s ci-contre (on y retrouve bien les diff\u00e9rences, sous forme de \u00ab\u00a0sym\u00e9tries\u00a0\u00bb, dues au signe moins).<\/p>\n<p style=\"text-align: justify;\">Mais le myst\u00e8re demeure entier\u00a0! Jetons un coup d\u2019\u0153il \u00e0 chaque courbe.<\/p>\n<p><a href=\"http:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func4.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-37 alignleft\" alt=\"func\" src=\"http:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func4-228x300.png\" width=\"228\" height=\"300\" srcset=\"https:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func4-228x300.png 228w, https:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func4.png 258w\" sizes=\"auto, (max-width: 228px) 100vw, 228px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\">Elles sont bien conformes aux tableaux de variations pr\u00e9c\u00e9dents. On pourra notamment remarquer les tangentes horizontales (et on retrouve la sym\u00e9trie d\u00e9j\u00e0 observ\u00e9e).<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\">\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Concentrons-nous sur les portions de l\u2019intervalle [-4\u00a0;4] et r\u00e9unissons les sur une seule figure.<a href=\"http:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func6.png\"><br \/>\n<\/a><a href=\"http:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func6.png\"><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-39\" alt=\"func6\" src=\"http:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func6-300x168.png\" width=\"300\" height=\"168\" srcset=\"https:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func6-300x168.png 300w, https:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func6.png 465w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Puis ajoutons quelques couleurs.<\/p>\n<p><a href=\"http:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func7.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-38\" alt=\"func7\" src=\"http:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func7-300x168.png\" width=\"300\" height=\"168\" srcset=\"https:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func7-300x168.png 300w, https:\/\/www.lovemaths.fr\/blog\/wp-content\/uploads\/2013\/03\/func7.png 465w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Joyeuses P\u00e2ques\u00a0!<\/p>\n<p>Source: <a href=\"http:\/\/www.mathematische-basteleien.de\/eggcurves.htm\">http:\/\/www.mathematische-basteleien.de\/eggcurves.htm<\/a><\/p>\n<p><!--[if gte mso 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5.4pt;\nmso-para-margin-top:0in;\nmso-para-margin-right:0in;\nmso-para-margin-bottom:10.0pt;\nmso-para-margin-left:0in;\nline-height:115%;\nmso-pagination:widow-orphan;\nfont-size:11.0pt;\nfont-family:\"Calibri\",\"sans-serif\";\nmso-ascii-font-family:Calibri;\nmso-ascii-theme-font:minor-latin;\nmso-hansi-font-family:Calibri;\nmso-hansi-theme-font:minor-latin;\nmso-bidi-font-family:\"Times New Roman\";\nmso-bidi-theme-font:minor-bidi;}\n<\/style>\n\n<![endif]--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>qu&rsquo;est-ce que c&rsquo;est ? &nbsp; Voil\u00e0 une dr\u00f4le de question\u00a0! Commen\u00e7ons par \u00e9tudier les deux fonctions associ\u00e9es. On nous dit que l\u2019ensemble de d\u00e9finition pour ces deux fonctions est ]-\u221e ;-17\/2[ U [-4\u00a0;4] et que les tableaux de variations sont respectivement ceux repr\u00e9sent\u00e9s ci-contre (on y retrouve bien les diff\u00e9rences, sous forme de \u00ab\u00a0sym\u00e9tries\u00a0\u00bb, dues [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9,7,8,2],"tags":[],"class_list":["post-19","post","type-post","status-publish","format-standard","hentry","category-fun","category-premiere","category-seconde","category-terminale"],"_links":{"self":[{"href":"https:\/\/www.lovemaths.fr\/blog\/index.php?rest_route=\/wp\/v2\/posts\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lovemaths.fr\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lovemaths.fr\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lovemaths.fr\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lovemaths.fr\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=19"}],"version-history":[{"count":11,"href":"https:\/\/www.lovemaths.fr\/blog\/index.php?rest_route=\/wp\/v2\/posts\/19\/revisions"}],"predecessor-version":[{"id":43,"href":"https:\/\/www.lovemaths.fr\/blog\/index.php?rest_route=\/wp\/v2\/posts\/19\/revisions\/43"}],"wp:attachment":[{"href":"https:\/\/www.lovemaths.fr\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=19"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lovemaths.fr\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=19"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lovemaths.fr\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}