{"id":7306,"date":"2016-02-23T10:07:58","date_gmt":"2016-02-23T09:07:58","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=7306"},"modified":"2016-02-23T10:31:12","modified_gmt":"2016-02-23T09:31:12","slug":"esercizio-11-parabola","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=7306","title":{"rendered":"Esercizio 11 &#8211; Parabola e rette"},"content":{"rendered":"<p>Determina le coordinate dei punti di intersezione, A e B, della parabola \u00a0y = \u2014 x<sup>2<\/sup> + 4x \u00a0con la retta \u00a0y = \u2014x + 4 \u00a0indicando con\u00a0A il punto di ascissa minore. \u00a0Conduci dal punto C(5\/2;6) le rette tangenti alla parabola e verifica\u00a0che i punti di tangenza sono A e B. Detto E il punto in cui la tangente in A interseca l&#8217;asse x, calcola l&#8217;area\u00a0del triangolo EBC.<\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/02\/Es11a_Parabola.jpg\" rel=\"attachment wp-att-7313\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7313\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/02\/Es11a_Parabola-756x1024.jpg\" alt=\"Parabola e rette\" width=\"677\" height=\"917\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es11a_Parabola-756x1024.jpg 756w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es11a_Parabola-221x300.jpg 221w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es11a_Parabola-768x1041.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es11a_Parabola.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/02\/Es11b_Parabola.jpg\" rel=\"attachment wp-att-7314\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7314\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/02\/Es11b_Parabola-1024x636.jpg\" alt=\"Parabola e rette\" width=\"677\" height=\"420\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es11b_Parabola-1024x636.jpg 1024w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es11b_Parabola-300x186.jpg 300w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es11b_Parabola-768x477.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es11b_Parabola.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/02\/Es11_ParbolaGrafico.png\" rel=\"attachment wp-att-7312\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-7312\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/02\/Es11_ParbolaGrafico.png\" alt=\"Parabola e rette - Grafico\" width=\"676\" height=\"646\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es11_ParbolaGrafico.png 676w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es11_ParbolaGrafico-300x287.png 300w\" sizes=\"auto, (max-width: 676px) 100vw, 676px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Determina le coordinate dei punti di intersezione, A e B, della parabola \u00a0y = \u2014 x2 + 4x \u00a0con la retta \u00a0y = \u2014x + 4 \u00a0indicando con\u00a0A il punto di ascissa minore. \u00a0Conduci dal punto C(5\/2;6) le rette tangenti alla parabola e verifica\u00a0che i punti di tangenza sono A e B. Detto E il punto in cui la tangente in A interseca l&#8217;asse x, calcola l&#8217;area\u00a0del triangolo EBC. &nbsp;<\/p>\n","protected":false},"author":1,"featured_media":7312,"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-7306","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\/02\/Es11_ParbolaGrafico.png","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1TQ","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/7306","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=7306"}],"version-history":[{"count":5,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/7306\/revisions"}],"predecessor-version":[{"id":7318,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/7306\/revisions\/7318"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/7312"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7306"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7306"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7306"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}