{"id":7583,"date":"2016-03-11T17:44:41","date_gmt":"2016-03-11T16:44:41","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=7583"},"modified":"2016-03-14T09:27:32","modified_gmt":"2016-03-14T08:27:32","slug":"esercizio-25-parabola-e-retta-tangente","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=7583","title":{"rendered":"Esercizio 25 \u2013 Parabola, retta tangente e circonferenza"},"content":{"rendered":"<p>Determina e rappresenta l&#8217;equazione della parabola con asse parallelo all&#8217;asse y con vertice in V(0; 9) e\u00a0passante per A ( \u2014 2; 5). Successivamente trova e rappresenta l&#8217;equazione della retta t tangente in A alla parabola. Scrivi l&#8217;equazione della circonferenza con il centro C sull&#8217;asse y e tangente in A alla retta t e rappresentala graficamente. Detto V il vertice della parabola, calcola l&#8217;area del triangolo A VC.<\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es25a_FasciParabole.jpg\" rel=\"attachment wp-att-7610\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7610\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es25a_FasciParabole-874x1024.jpg\" alt=\"Parabola, retta tangente e circonferenza\" width=\"677\" height=\"793\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25a_FasciParabole-874x1024.jpg 874w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25a_FasciParabole-256x300.jpg 256w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25a_FasciParabole-768x900.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25a_FasciParabole.jpg 1255w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es25b_FasciParabole.jpg\" rel=\"attachment wp-att-7611\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7611\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es25b_FasciParabole-892x1024.jpg\" alt=\"Parabola, retta tangente e circonferenza\" width=\"677\" height=\"777\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25b_FasciParabole-892x1024.jpg 892w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25b_FasciParabole-261x300.jpg 261w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25b_FasciParabole-768x881.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25b_FasciParabole.jpg 1255w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es25c_FasciParabole.jpg\" rel=\"attachment wp-att-7612\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7612\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es25c_FasciParabole-1024x914.jpg\" alt=\"Parabola, retta tangente e circonferenza\" width=\"677\" height=\"604\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25c_FasciParabole-1024x914.jpg 1024w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25c_FasciParabole-300x268.jpg 300w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25c_FasciParabole-768x685.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25c_FasciParabole.jpg 1255w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es25_Parabola_Grafico.png\" rel=\"attachment wp-att-7586\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-7586\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es25_Parabola_Grafico.png\" alt=\"Parabola Grafico\" width=\"705\" height=\"718\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25_Parabola_Grafico.png 705w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25_Parabola_Grafico-295x300.png 295w\" sizes=\"auto, (max-width: 705px) 100vw, 705px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Determina e rappresenta l&#8217;equazione della parabola con asse parallelo all&#8217;asse y con vertice in V(0; 9) e\u00a0passante per A ( \u2014 2; 5). Successivamente trova e rappresenta l&#8217;equazione della retta t tangente in A alla parabola. Scrivi l&#8217;equazione della circonferenza con il centro C sull&#8217;asse y e tangente in A alla retta t e rappresentala graficamente. Detto V il vertice della parabola, calcola l&#8217;area del triangolo A VC.<\/p>\n","protected":false},"author":1,"featured_media":7586,"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":false,"_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":[127,128,139],"tags":[],"class_list":["post-7583","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-esercizi-svolti","category-geometria-analitica","category-parabola"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es25_Parabola_Grafico.png","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1Yj","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/7583","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=7583"}],"version-history":[{"count":5,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/7583\/revisions"}],"predecessor-version":[{"id":7615,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/7583\/revisions\/7615"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/7586"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7583"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7583"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7583"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}