{"id":6304,"date":"2022-01-28T12:00:22","date_gmt":"2022-01-28T11:00:22","guid":{"rendered":"https:\/\/agora.xtec.cat\/escolaforndanells\/?p=6304"},"modified":"2022-01-28T12:00:22","modified_gmt":"2022-01-28T11:00:22","slug":"5e-descobrim-la-relacio-deuler-a-traves-dels-poliedres","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/escolaforndanells\/portada\/5e-descobrim-la-relacio-deuler-a-traves-dels-poliedres\/","title":{"rendered":"5\u00e8 DESCOBRIM LA RELACI\u00d3 D\u2019EULER A TRAV\u00c9S DELS POLIEDRES"},"content":{"rendered":"

Aquesta setmana des de l\u2019\u00e0rea de matem\u00e0tiques hem constru\u00eft poliedres, els hem classificat\u00a0 i analitzat per arribar a descobrir la caracter\u00edstica d\u2019Euler.<\/span><\/p>\n

Per parelles, amb canyetes i plastilina com a material, hem constru\u00eft poliedres. Despr\u00e9s els hem posat en com\u00fa i entre tots els hem agrupat per caracter\u00edstiques i regularitats. Per a poder-los classificar calia argumentar de manera justificada la nostra decisi\u00f3.<\/span><\/p>\n

Finalment hem arribat a la conclusi\u00f3 que les canyetes no ens permetien construir cossos rodons com els cilindres, cons i esferes. Per tant, hem dedu\u00eft que aquests cossos no pertanyen al grup dels poliedres.\u00a0<\/span><\/p>\n

Un cop descartats, hem pogut remarcar que els poliedres s\u00f3n cossos amb volum limitat per cares planes. Si el poliedre t\u00e9 2 cares paral\u00b7leles unides per rectangles s\u2019anomena \u201cprisma\u201d, si el poliedre t\u00e9 una cara poligonal de la qual en surten triangles que tenen un v\u00e8rtex com\u00fa, s\u2019anomena \u201cpir\u00e0mide\u201d i finalment, si el poliedre sembla que tingui dues pir\u00e0mides iguals unides per la base parlem de \u201cbipir\u00e0mide\u201d.<\/span><\/p>\n

A mesura que hem anat fent recompte de cares, v\u00e8rtexs i arestes dels nostres poliedres, hem arribat a la conclusi\u00f3 que si sumem les cares i els v\u00e8rtexs, i d\u2019aquest resultat, en restem les arestes, el resultat sempre ser\u00e0 2. Aquesta \u00e9s la relaci\u00f3 que va descobrir Euler, un matem\u00e0tic i f\u00edsic su\u00eds <\/span>considerat un dels m\u00e9s brillants de la hist\u00f2ria.<\/span><\/p>\n

FOTOS DE L’ACTIVITAT<\/a><\/em><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Aquesta setmana des de l\u2019\u00e0rea de matem\u00e0tiques hem constru\u00eft poliedres, els hem classificat\u00a0 i analitzat per arribar a descobrir la caracter\u00edstica d\u2019Euler. Per parelles, amb canyetes i plastilina com a material, hem constru\u00eft poliedres. Despr\u00e9s els hem posat en com\u00fa i entre tots els hem agrupat per caracter\u00edstiques i regularitats. Per a poder-los classificar calia […]<\/p>\n","protected":false},"author":1,"featured_media":6305,"comment_status":"open","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,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[14,4],"tags":[94],"class_list":["post-6304","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-5e","category-portada","tag-matematiques"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/escolaforndanells\/wp-json\/wp\/v2\/posts\/6304","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/escolaforndanells\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/escolaforndanells\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolaforndanells\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolaforndanells\/wp-json\/wp\/v2\/comments?post=6304"}],"version-history":[{"count":1,"href":"https:\/\/agora.xtec.cat\/escolaforndanells\/wp-json\/wp\/v2\/posts\/6304\/revisions"}],"predecessor-version":[{"id":6306,"href":"https:\/\/agora.xtec.cat\/escolaforndanells\/wp-json\/wp\/v2\/posts\/6304\/revisions\/6306"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolaforndanells\/wp-json\/wp\/v2\/media\/6305"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/escolaforndanells\/wp-json\/wp\/v2\/media?parent=6304"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolaforndanells\/wp-json\/wp\/v2\/categories?post=6304"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolaforndanells\/wp-json\/wp\/v2\/tags?post=6304"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}