{"id":5537,"date":"2015-12-09T19:42:31","date_gmt":"2015-12-09T18:42:31","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=5537"},"modified":"2015-12-09T19:42:31","modified_gmt":"2015-12-09T18:42:31","slug":"esercizio-16-fascio-di-circonferenze","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=5537","title":{"rendered":"Esercizio 16 &#8211; Fascio di circonferenze"},"content":{"rendered":"<p>Dopo aver studiato il fascio di circonferenze di equazione x<sup>2 <\/sup>+ y<sup>2<\/sup> &#8211; 6x + (k &#8211; 2) y + 6 &#8211; 2k = 0, trova per\u00a0quali valori di k si ha una circonferenza:<br \/>\na) di raggio uguale a 2;<br \/>\nb) che racchiude un&#8217;area uguale a 7<img decoding=\"async\" src=\"https:\/\/upload.wikimedia.org\/math\/5\/2\/2\/522359592d78569a9eac16498aa7a087.png\" alt=\"\\pi\" \/>;<br \/>\nc) con il centro che ha distanza dalla retta di equazione x + 2y &#8211; 1 = 0 minore di 2<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/upload.wikimedia.org\/math\/a\/c\/f\/acf95c3cfe94c7963cc26aca1756f2e8.png\" alt=\"\\sqrt {5}\" width=\"20\" height=\"16\" \/>.<\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es16a_Circonferenze.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5578\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es16a_Circonferenze-736x1024.jpg\" alt=\"Fascio di circonferenze\" width=\"677\" height=\"942\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es16a_Circonferenze-736x1024.jpg 736w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es16a_Circonferenze-216x300.jpg 216w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es16a_Circonferenze.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es16b_Circonferenze.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5579\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es16b_Circonferenze-920x1024.jpg\" alt=\"Fascio di circonferenze\" width=\"677\" height=\"754\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es16b_Circonferenze-920x1024.jpg 920w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es16b_Circonferenze-270x300.jpg 270w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es16b_Circonferenze.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es16c_Circonferenze.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5580\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es16c_Circonferenze-1024x822.jpg\" alt=\"Fascio di circonferenze\" width=\"677\" height=\"543\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es16c_Circonferenze-1024x822.jpg 1024w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es16c_Circonferenze-300x241.jpg 300w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es16c_Circonferenze.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dopo aver studiato il fascio di circonferenze di equazione x2 + y2 &#8211; 6x + (k &#8211; 2) y + 6 &#8211; 2k = 0, trova per\u00a0quali valori di k si ha una circonferenza: a) di raggio uguale a 2; b) che racchiude un&#8217;area uguale a 7; c) con il centro che ha distanza dalla retta di equazione x + 2y &#8211; 1 = 0 minore di 2. &nbsp;<\/p>\n","protected":false},"author":1,"featured_media":5578,"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-5537","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\/Es16a_Circonferenze.jpg","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1rj","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5537","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=5537"}],"version-history":[{"count":5,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5537\/revisions"}],"predecessor-version":[{"id":5590,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5537\/revisions\/5590"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/5578"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5537"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5537"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5537"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}