{"id":6621,"date":"2016-01-26T08:57:49","date_gmt":"2016-01-26T07:57:49","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=6621"},"modified":"2016-01-26T09:15:00","modified_gmt":"2016-01-26T08:15:00","slug":"esercizio-24-fascio-di-circonferenze","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=6621","title":{"rendered":"Esercizio 24 &#8211; Fascio di circonferenze"},"content":{"rendered":"<p>Studia le caratteristiche del fascio di circonferenze di equazione x<sup>2<\/sup> + y<sup>2<\/sup> \u2014 2(k \u2014 3)x + ky\u2014 6k + 14 = 0.<br \/>\na) Stabilisci per quali valori di k l&#8217;equazione rappresenta una circonferenza.<br \/>\nb) Determina per quali valori di k si hanno le circonferenze del fascio che incontrano l&#8217;asse delle y in due\u00a0punti A e B tali che AB = \u221a56.<\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/01\/Es24a_Circonferenza.jpg\" rel=\"attachment wp-att-6625\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6625\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/01\/Es24a_Circonferenza-804x1024.jpg\" alt=\"Fascio di circonferenze\" width=\"677\" height=\"862\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Es24a_Circonferenza-804x1024.jpg 804w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Es24a_Circonferenza-236x300.jpg 236w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Es24a_Circonferenza-768x978.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Es24a_Circonferenza.jpg 1241w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/01\/Es24b_Circonferenza.jpg\" rel=\"attachment wp-att-6626\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6626\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/01\/Es24b_Circonferenza-867x1024.jpg\" alt=\"Fascio di circonferenze\" width=\"677\" height=\"800\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Es24b_Circonferenza-867x1024.jpg 867w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Es24b_Circonferenza-254x300.jpg 254w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Es24b_Circonferenza-768x907.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/01\/Es24b_Circonferenza.jpg 1241w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Studia le caratteristiche del fascio di circonferenze di equazione x2 + y2 \u2014 2(k \u2014 3)x + ky\u2014 6k + 14 = 0. a) Stabilisci per quali valori di k l&#8217;equazione rappresenta una circonferenza. b) Determina per quali valori di k si hanno le circonferenze del fascio che incontrano l&#8217;asse delle y in due\u00a0punti A e B tali che AB = \u221a56.<\/p>\n","protected":false},"author":1,"featured_media":6625,"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":[125,127,128],"tags":[],"class_list":["post-6621","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\/2016\/01\/Es24a_Circonferenza.jpg","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1IN","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/6621","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=6621"}],"version-history":[{"count":4,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/6621\/revisions"}],"predecessor-version":[{"id":6627,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/6621\/revisions\/6627"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/6625"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6621"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6621"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6621"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}