{"id":5540,"date":"2015-12-09T19:44:41","date_gmt":"2015-12-09T18:44:41","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=5540"},"modified":"2015-12-09T19:44:41","modified_gmt":"2015-12-09T18:44:41","slug":"esercizio-17-fascio-di-circonferenze","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=5540","title":{"rendered":"Esercizio 17 \u2013 Fascio di circonferenze"},"content":{"rendered":"<p>Considera il fascio di circonferenze di equazione x<sup>2<\/sup> + y<sup>2<\/sup> + 2x &#8211; 4y + k = 0 e studia le sue caratteristiche; trova poi per quali valori di k si ha una circonferenza che:<br \/>\na) ha raggio minimo;<br \/>\nb) passa per il punto P(-2; 1);<br \/>\nc) ha raggio uguale a 5;<br \/>\nd) \u00e8 tangente alla retta di equazione 2x + y &#8211; 1 = 0.<\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es17_Circonferenze.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5581\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es17_Circonferenze-745x1024.jpg\" alt=\"Fascio di circonferenze\" width=\"677\" height=\"931\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es17_Circonferenze-745x1024.jpg 745w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es17_Circonferenze-218x300.jpg 218w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es17_Circonferenze.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Considera il fascio di circonferenze di equazione x2 + y2 + 2x &#8211; 4y + k = 0 e studia le sue caratteristiche; trova poi per quali valori di k si ha una circonferenza che: a) ha raggio minimo; b) passa per il punto P(-2; 1); c) ha raggio uguale a 5; d) \u00e8 tangente alla retta di equazione 2x + y &#8211; 1 = 0.<\/p>\n","protected":false},"author":1,"featured_media":5581,"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":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[125,127,128],"tags":[],"class_list":["post-5540","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-circonferenza","category-esercizi-svolti","category-geometria-analitica"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es17_Circonferenze.jpg","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1rm","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5540","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=5540"}],"version-history":[{"count":3,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5540\/revisions"}],"predecessor-version":[{"id":5591,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5540\/revisions\/5591"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/5581"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5540"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5540"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5540"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}