{"id":8585,"date":"2025-05-23T08:10:39","date_gmt":"2025-05-23T06:10:39","guid":{"rendered":"https:\/\/agora.xtec.cat\/iesnumancia\/?p=8585"},"modified":"2025-05-22T15:47:03","modified_gmt":"2025-05-22T13:47:03","slug":"llocs-geometrics-i-les-seves-aplicacions-a-lespai-40","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesnumancia\/noticies-batxillerat\/llocs-geometrics-i-les-seves-aplicacions-a-lespai-40\/","title":{"rendered":"Llocs geom\u00e8trics i les seves aplicacions a l&#8217;espai 40."},"content":{"rendered":"<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8590\" src=\"https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916433178.jpg\" alt=\"\" width=\"1020\" height=\"459\" srcset=\"https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916433178.jpg 1020w, https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916433178-300x135.jpg 300w, https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916433178-768x346.jpg 768w\" sizes=\"auto, (max-width: 1020px) 100vw, 1020px\" \/><\/td>\n<td style=\"width: 50%;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8593\" src=\"https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916239002.jpg\" alt=\"\" width=\"1020\" height=\"459\" srcset=\"https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916239002.jpg 1020w, https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916239002-300x135.jpg 300w, https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916239002-768x346.jpg 768w\" sizes=\"auto, (max-width: 1020px) 100vw, 1020px\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Durant aquest trimestre de l&#8217;optativa de <strong>matem\u00e0tica aplicada (1r Batx)<\/strong>, hem treballat el tema dels <strong>llocs geom\u00e8trics<\/strong> per a con\u00e8ixer\u00a0una mica de m\u00e9s a prop algunes corbes molt presents al nostre entorn, la tecnologia i l&#8217;arquitectura. Algunes de les corbes estudiades s\u00f3n les<strong> seccions c\u00f2niques (cercle, par\u00e0bola, hip\u00e8rbola i el\u00b7lipse), la caten\u00e0ria, la cicloide i la tractriu i les seves versions tridimensionals aix\u00ed com superf\u00edcies minimals, autoportants o estructures de tensegritat.<\/strong> Les seves propietats s\u00f3n tan sorprenents com necess\u00e0ries, sense elles no existirien els fars de llum, els estadis de futbol, els rellotges de p\u00e8ndol i, ni tan sols, l&#8217;escorredor de la &#8220;fregona&#8221;.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8591\" src=\"https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916433171.jpg\" alt=\"\" width=\"1020\" height=\"459\" srcset=\"https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916433171.jpg 1020w, https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916433171-300x135.jpg 300w, https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916433171-768x346.jpg 768w\" sizes=\"auto, (max-width: 1020px) 100vw, 1020px\" \/><\/td>\n<td style=\"width: 50%;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8589\" src=\"https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916433158.jpg\" alt=\"\" width=\"1020\" height=\"459\" srcset=\"https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916433158.jpg 1020w, https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916433158-300x135.jpg 300w, https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916433158-768x346.jpg 768w\" sizes=\"auto, (max-width: 1020px) 100vw, 1020px\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Els nostres alumnes de 1r de Batxillerat han dedicat molt d&#8217;esfor\u00e7 i han posat a funcionar totes les seves destreses\u00a0i enginy per a construir algunes maquetes que ens mostren la bellesa d&#8217;aquestes corbes i superf\u00edcies en estat pur: Des d&#8217;una taula de tensegritat que sembla cosa de m\u00e0gia que es pugui sostenir, fins a les hipn\u00f2tiques superf\u00edcies reglades com l&#8217;hiperboloide o el paraboloide, passant per un p\u00e8ndol de Huygens, un dels invents m\u00e9s importants per mesurar el temps de manera regular gr\u00e0cies a la cicloide.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8594\" src=\"https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916239019.jpg\" alt=\"\" width=\"1020\" height=\"459\" srcset=\"https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916239019.jpg 1020w, https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916239019-300x135.jpg 300w, https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916239019-768x346.jpg 768w\" sizes=\"auto, (max-width: 1020px) 100vw, 1020px\" \/><\/td>\n<td style=\"width: 50%;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8588\" src=\"https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916238990.jpg\" alt=\"\" width=\"1020\" height=\"459\" srcset=\"https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916238990.jpg 1020w, https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916238990-300x135.jpg 300w, https:\/\/agora.xtec.cat\/iesnumancia\/wp-content\/uploads\/usu2267\/2025\/05\/1747916238990-768x346.jpg 768w\" sizes=\"auto, (max-width: 1020px) 100vw, 1020px\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Podeu gaudir d&#8217;una mostra dels treballs a l&#8217;espai 40 del Num\u00e0ncia!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Durant aquest trimestre de l&#8217;optativa de matem\u00e0tica aplicada (1r Batx), hem treballat el tema dels llocs geom\u00e8trics per a con\u00e8ixer\u00a0una mica de m\u00e9s a prop algunes corbes molt presents al nostre entorn, la tecnologia i l&#8217;arquitectura. Algunes de les corbes estudiades s\u00f3n les seccions c\u00f2niques&hellip;  <a href=\"https:\/\/agora.xtec.cat\/iesnumancia\/noticies-batxillerat\/llocs-geometrics-i-les-seves-aplicacions-a-lespai-40\/\" title=\"Read Llocs geom\u00e8trics i les seves aplicacions a l&#8217;espai 40.\">Llegeix m\u00e9s\u00bb<\/a><\/p>\n","protected":false},"author":1,"featured_media":8588,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[8,29],"tags":[],"class_list":["post-8585","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-noticies-batxillerat","category-portada"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iesnumancia\/wp-json\/wp\/v2\/posts\/8585","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iesnumancia\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iesnumancia\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesnumancia\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesnumancia\/wp-json\/wp\/v2\/comments?post=8585"}],"version-history":[{"count":2,"href":"https:\/\/agora.xtec.cat\/iesnumancia\/wp-json\/wp\/v2\/posts\/8585\/revisions"}],"predecessor-version":[{"id":8596,"href":"https:\/\/agora.xtec.cat\/iesnumancia\/wp-json\/wp\/v2\/posts\/8585\/revisions\/8596"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesnumancia\/wp-json\/wp\/v2\/media\/8588"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iesnumancia\/wp-json\/wp\/v2\/media?parent=8585"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesnumancia\/wp-json\/wp\/v2\/categories?post=8585"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesnumancia\/wp-json\/wp\/v2\/tags?post=8585"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}