{"id":7581,"date":"2016-03-11T17:09:45","date_gmt":"2016-03-11T16:09:45","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=7581"},"modified":"2016-03-14T09:26:22","modified_gmt":"2016-03-14T08:26:22","slug":"esercizio-24-fascio-di-parabole","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=7581","title":{"rendered":"Esercizio 24 \u2013 Fascio di parabole"},"content":{"rendered":"<p>Studia il fascio di parabole di equazione (m + 1) x<sup>2<\/sup> \u2014 4 (m + 1) x \u2014 (m + 1) y + 4 + 5m = 0 \u00a0e determinare \u00a0poi la parabola del fascio:<br \/>\na) passante per il punto A(3; \u2014 3);<br \/>\nb) che intercetta sull&#8217;asse delle ascisse un segmento di lunghezza 6;<br \/>\nc) tangente alla retta 2x \u2014 y \u2014 3 = 0;<br \/>\nd) che forma nel I quadrante un triangolo mistilineo di area\u00a08\/3.<\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es24a_FasciParabole.jpg\" rel=\"attachment wp-att-7607\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7607\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es24a_FasciParabole-925x1024.jpg\" alt=\"Fascio di parabole\" width=\"677\" height=\"749\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es24a_FasciParabole-925x1024.jpg 925w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es24a_FasciParabole-271x300.jpg 271w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es24a_FasciParabole-768x851.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es24a_FasciParabole.jpg 1255w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es24b_FasciParabole.jpg\" rel=\"attachment wp-att-7608\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7608\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es24b_FasciParabole-739x1024.jpg\" alt=\"Fascio di parabole\" width=\"677\" height=\"938\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es24b_FasciParabole-739x1024.jpg 739w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es24b_FasciParabole-216x300.jpg 216w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es24b_FasciParabole-768x1065.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es24b_FasciParabole.jpg 1255w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es24c_FasciParabole.jpg\" rel=\"attachment wp-att-7609\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7609\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/03\/Es24c_FasciParabole-754x1024.jpg\" alt=\"Fascio di parabole\" width=\"677\" height=\"919\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es24c_FasciParabole-754x1024.jpg 754w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es24c_FasciParabole-221x300.jpg 221w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es24c_FasciParabole-768x1043.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/03\/Es24c_FasciParabole.jpg 1255w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Studia il fascio di parabole di equazione (m + 1) x2 \u2014 4 (m + 1) x \u2014 (m + 1) y + 4 + 5m = 0 \u00a0e determinare \u00a0poi la parabola del fascio: a) passante per il punto A(3; \u2014 3); b) che intercetta sull&#8217;asse delle ascisse un segmento di lunghezza 6; c) tangente alla retta 2x \u2014 y \u2014 3 = 0; d) che forma nel I&hellip; <\/p>\n","protected":false},"author":1,"featured_media":7607,"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-7581","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\/Es24a_FasciParabole.jpg","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1Yh","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/7581","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=7581"}],"version-history":[{"count":3,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/7581\/revisions"}],"predecessor-version":[{"id":7614,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/7581\/revisions\/7614"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/7607"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7581"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7581"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7581"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}