{"id":7226,"date":"2016-02-16T10:09:42","date_gmt":"2016-02-16T09:09:42","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=7226"},"modified":"2016-02-23T09:33:58","modified_gmt":"2016-02-23T08:33:58","slug":"esercizio-22-fascio-di-rette","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=7226","title":{"rendered":"Esercizio 22 &#8211; Fascio di rette"},"content":{"rendered":"<p>a) Scrivi l&#8217;equazione della retta r passante per i punti A(4; 0) e B(0; 6).<br \/>\nb) Individua la retta s parallela alla bisettrice del primo e terzo quadrante e passante per il punto C(\u20141; 0).<br \/>\nc) Nel fascio di rette generato da r e da s determina l&#8217;equazione della retta t parallela alla retta\u00a0x \u2014 2y + 5 = 0.<br \/>\nd) Sia D l&#8217;intersezione della retta del fascio avente coefficiente angolare \u20147\/8 con la retta x + 5y + 10 = 0.\u00a0Calcola il perimetro e l&#8217;area del quadrilatero ABCD.<\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/02\/Es22a_Retta.jpg\" rel=\"attachment wp-att-7238\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7238\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/02\/Es22a_Retta-830x1024.jpg\" alt=\"Fascio di rette\" width=\"677\" height=\"835\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es22a_Retta-830x1024.jpg 830w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es22a_Retta-243x300.jpg 243w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es22a_Retta-768x948.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es22a_Retta.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a> <a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/02\/Es22b_Retta.jpg\" rel=\"attachment wp-att-7239\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7239\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/02\/Es22b_Retta-875x1024.jpg\" alt=\"Fascio di rette\" width=\"677\" height=\"792\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es22b_Retta-875x1024.jpg 875w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es22b_Retta-256x300.jpg 256w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es22b_Retta-768x899.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es22b_Retta.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/02\/Es22_grafico.png\" rel=\"attachment wp-att-7303\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-7303\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2016\/02\/Es22_grafico.png\" alt=\"Fascio di rette - grafico\" width=\"796\" height=\"758\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es22_grafico.png 796w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es22_grafico-300x286.png 300w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2016\/02\/Es22_grafico-768x731.png 768w\" sizes=\"auto, (max-width: 796px) 100vw, 796px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>a) Scrivi l&#8217;equazione della retta r passante per i punti A(4; 0) e B(0; 6). b) Individua la retta s parallela alla bisettrice del primo e terzo quadrante e passante per il punto C(\u20141; 0). c) Nel fascio di rette generato da r e da s determina l&#8217;equazione della retta t parallela alla retta\u00a0x \u2014 2y + 5 = 0. d) Sia D l&#8217;intersezione della retta del fascio avente coefficiente&hellip; <\/p>\n","protected":false},"author":1,"featured_media":0,"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":[127,128,140],"tags":[],"class_list":["post-7226","post","type-post","status-publish","format-standard","hentry","category-esercizi-svolti","category-geometria-analitica","category-retta"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1Sy","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/7226","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=7226"}],"version-history":[{"count":5,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/7226\/revisions"}],"predecessor-version":[{"id":7305,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/7226\/revisions\/7305"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7226"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7226"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7226"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}