{"id":5256,"date":"2015-11-26T12:07:51","date_gmt":"2015-11-26T11:07:51","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=5256"},"modified":"2015-12-01T10:48:16","modified_gmt":"2015-12-01T09:48:16","slug":"esercizio-13-retta-e-applicazioni","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=5256","title":{"rendered":"Esercizio 13 &#8211; Fascio di rette"},"content":{"rendered":"<p>Dato il fascio di rette di equazione: \u00a0<em>(2 + m) y &#8211; (3 &#8211; 2m) x + 5 &#8211; 8m = 0;\u00a0<\/em>determinare:<br \/>\na) le coordinate del centro C del fascio;<br \/>\nb) la retta del fascio avente in comune con la retta r di equazione \u00a09y+5x-86=0 il punto A di ascissa 10;<br \/>\nc) la retta del fascio perpendicolare a CA ed il suo punto B d&#8217;intersezione con la retta r;<br \/>\nd) la misura dell&#8217;area del triangolo ABC.<br \/>\n<a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/11\/Es13a_fascidirette.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5277\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/11\/Es13a_fascidirette-882x1024.jpg\" alt=\"Fascio di rette\" width=\"677\" height=\"786\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es13a_fascidirette-882x1024.jpg 882w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es13a_fascidirette-258x300.jpg 258w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es13a_fascidirette.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/11\/Es13b_fascidirette.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5278\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/11\/Es13b_fascidirette-1000x1024.jpg\" alt=\"Fascio di rette\" width=\"677\" height=\"693\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es13b_fascidirette-1000x1024.jpg 1000w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es13b_fascidirette-293x300.jpg 293w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es13b_fascidirette.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/11\/Es13c_Fasci.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5412\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/11\/Es13c_Fasci-917x1024.jpg\" alt=\"Fascio di rette\" width=\"677\" height=\"756\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es13c_Fasci-917x1024.jpg 917w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es13c_Fasci-269x300.jpg 269w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/11\/Es13c_Fasci.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dato il fascio di rette di equazione: \u00a0(2 + m) y &#8211; (3 &#8211; 2m) x + 5 &#8211; 8m = 0;\u00a0determinare: a) le coordinate del centro C del fascio; b) la retta del fascio avente in comune con la retta r di equazione \u00a09y+5x-86=0 il punto A di ascissa 10; c) la retta del fascio perpendicolare a CA ed il suo punto B d&#8217;intersezione con la retta r; d)&hellip; <\/p>\n","protected":false},"author":1,"featured_media":5277,"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-5256","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\/Es13a_fascidirette.jpg","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1mM","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5256","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=5256"}],"version-history":[{"count":7,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5256\/revisions"}],"predecessor-version":[{"id":5419,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5256\/revisions\/5419"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/5277"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5256"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5256"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5256"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}