{"id":5363,"date":"2015-11-30T17:26:02","date_gmt":"2015-11-30T16:26:02","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=5363"},"modified":"2015-12-01T10:49:44","modified_gmt":"2015-12-01T09:49:44","slug":"esercizio-18-fascio-di-rette","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=5363","title":{"rendered":"Esercizio 18 \u2013 Fascio di rette"},"content":{"rendered":"<p>Dopo aver calcolato le coordinate del centro del fascio di rette di equazione\u00a0<em>(l + k) x + (2 &#8211; k) y &#8211;\u00a04 &#8211; k = 0<\/em>,\u00a0determinare per quali valori di k la retta del fascio:<br \/>\n1) \u00e8 perpendicolare alla retta x + 5y \u2014 3 = 0;<br \/>\n2) passa per il punto di intersezione delle rette x + 3y-5 = 0 e 2x-y + 4 = 0.<\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/11\/Es18a_Fasci.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5413\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/11\/Es18a_Fasci-747x1024.jpg\" alt=\"Fascio di rette\" width=\"677\" height=\"928\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es18a_Fasci-747x1024.jpg 747w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es18a_Fasci-219x300.jpg 219w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es18a_Fasci.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/11\/Es18b_Fasci.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5414\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/11\/Es18b_Fasci-1024x628.jpg\" alt=\"Fascio di rette\" width=\"677\" height=\"415\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es18b_Fasci-1024x628.jpg 1024w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es18b_Fasci-300x184.jpg 300w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es18b_Fasci.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dopo aver calcolato le coordinate del centro del fascio di rette di equazione\u00a0(l + k) x + (2 &#8211; k) y &#8211;\u00a04 &#8211; k = 0,\u00a0determinare per quali valori di k la retta del fascio: 1) \u00e8 perpendicolare alla retta x + 5y \u2014 3 = 0; 2) passa per il punto di intersezione delle rette x + 3y-5 = 0 e 2x-y + 4 = 0.<\/p>\n","protected":false},"author":1,"featured_media":5413,"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":[127,128,140],"tags":[],"class_list":["post-5363","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-esercizi-svolti","category-geometria-analitica","category-retta"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es18a_Fasci.jpg","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1ov","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5363","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=5363"}],"version-history":[{"count":2,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5363\/revisions"}],"predecessor-version":[{"id":5420,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5363\/revisions\/5420"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/5413"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5363"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5363"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5363"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}