{"id":8751,"date":"2016-11-28T13:24:13","date_gmt":"2016-11-28T12:24:13","guid":{"rendered":"http:\/\/www.matematicaok.com\/?p=8751"},"modified":"2016-11-28T14:00:59","modified_gmt":"2016-11-28T13:00:59","slug":"esercizio-10-ellisse-riferita-al-centro-degli-assi","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=8751","title":{"rendered":"Esercizio 10 &#8211; Ellisse riferita al centro degli assi"},"content":{"rendered":"<p>Nell&#8217;equazione (a<sup>2\u00a0<\/sup>&#8211; 4) x<sup>2<\/sup> + a<sup>2 \u00a0<\/sup>y<sup>2\u00a0<\/sup>= a<sup>4\u00a0<\/sup>&#8211; 4a<sup>2<\/sup>, \u00a0si trovi il valore di a<sup>2\u00a0<\/sup>\u00a0in modo che l&#8217;equazione rappresenti \u00a0un&#8217;ellisse passante per il punto P ( &#8211; 5\/8\u00a0; 3\/8 <img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/3e343ba1fba1d0222e6d6b02e264aec5717548f6\" alt=\"{\\sqrt {15}}\" width=\"28\" height=\"20\" \/>). Determinare poi la misura S dell&#8217;area del\u00a0rettangolo, inscritto in tale ellisse, avente un lato appartenente alla retta di equazione y = l .<\/p>\n<p><a href=\"http:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/11\/Es10a_Ellisse.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-8753\" src=\"http:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/11\/Es10a_Ellisse-1024x573.png\" alt=\"Ellisse riferita al centro degli assi\" width=\"800\" height=\"448\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/11\/Es10a_Ellisse-1024x573.png 1024w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/11\/Es10a_Ellisse-300x168.png 300w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/11\/Es10a_Ellisse-768x430.png 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/11\/Es10a_Ellisse.png 1272w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/11\/Es10b_Ellisse.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-8754\" src=\"http:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/11\/Es10b_Ellisse.jpg\" alt=\"Ellisse riferita al centro degli assi\" width=\"800\" height=\"588\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/11\/Es10b_Ellisse.jpg 787w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/11\/Es10b_Ellisse-300x220.jpg 300w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/11\/Es10b_Ellisse-768x564.jpg 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nell&#8217;equazione (a2\u00a0&#8211; 4) x2 + a2 \u00a0y2\u00a0= a4\u00a0&#8211; 4a2, \u00a0si trovi il valore di a2\u00a0\u00a0in modo che l&#8217;equazione rappresenti \u00a0un&#8217;ellisse passante per il punto P ( &#8211; 5\/8\u00a0; 3\/8 ). Determinare poi la misura S dell&#8217;area del\u00a0rettangolo, inscritto in tale ellisse, avente un lato appartenente alla retta di equazione y = l .<\/p>\n","protected":false},"author":1,"featured_media":8754,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[126,127,128],"tags":[],"class_list":["post-8751","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ellisse","category-esercizi-svolti","category-geometria-analitica"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/11\/Es10b_Ellisse.jpg","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-2h9","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8751","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8751"}],"version-history":[{"count":3,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8751\/revisions"}],"predecessor-version":[{"id":8756,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8751\/revisions\/8756"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/8754"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8751"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8751"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8751"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}