{"id":5544,"date":"2015-12-09T23:40:12","date_gmt":"2015-12-09T22:40:12","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=5544"},"modified":"2015-12-10T18:45:47","modified_gmt":"2015-12-10T17:45:47","slug":"19-es-295-pag-292","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=5544","title":{"rendered":"Esercizio 19 \u2013 Fascio di circonferenze"},"content":{"rendered":"<p>Studia il fascio di circonferenze di equazione x<sup>2<\/sup> + y<sup>2<\/sup> &#8211; (2 + k) x + (k &#8211; 2) y + 2 = 0 \u00a0indicando le sue caratteristiche. Trova poi la circonferenza del fascio:<br \/>\na) tangente all&#8217;asse x;<br \/>\nb) che racchiude un&#8217;area 8<img decoding=\"async\" src=\"https:\/\/upload.wikimedia.org\/math\/5\/2\/2\/522359592d78569a9eac16498aa7a087.png\" alt=\"\\pi\" \/>;<br \/>\nc) il cui centro appartiene alla retta y = 2x &#8211; 5;<br \/>\nd) tangente alla retta y = x &#8211; 4.<\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es19a_Circonferenze.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5597\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es19a_Circonferenze-724x1024.jpg\" alt=\"Fascio di circonferenze\" width=\"677\" height=\"958\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es19a_Circonferenze-724x1024.jpg 724w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es19a_Circonferenze-212x300.jpg 212w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es19a_Circonferenze.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es19b_Circonferenze.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5598\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es19b_Circonferenze-894x1024.jpg\" alt=\"Fascio di circonferenze\" width=\"677\" height=\"775\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es19b_Circonferenze-894x1024.jpg 894w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es19b_Circonferenze-262x300.jpg 262w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es19b_Circonferenze.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es19c_Circonferenze.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5599\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es19c_Circonferenze-724x1024.jpg\" alt=\"Fascio di circonferenze\" width=\"677\" height=\"958\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es19c_Circonferenze-724x1024.jpg 724w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es19c_Circonferenze-212x300.jpg 212w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es19c_Circonferenze.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Studia il fascio di circonferenze di equazione x2 + y2 &#8211; (2 + k) x + (k &#8211; 2) y + 2 = 0 \u00a0indicando le sue caratteristiche. Trova poi la circonferenza del fascio: a) tangente all&#8217;asse x; b) che racchiude un&#8217;area 8; c) il cui centro appartiene alla retta y = 2x &#8211; 5; d) tangente alla retta y = x &#8211; 4.<\/p>\n","protected":false},"author":1,"featured_media":5597,"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-5544","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\/Es19a_Circonferenze.jpg","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1rq","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5544","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=5544"}],"version-history":[{"count":5,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5544\/revisions"}],"predecessor-version":[{"id":5601,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5544\/revisions\/5601"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/5597"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5544"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5544"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5544"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}