{"id":3647,"date":"2021-11-21T10:47:16","date_gmt":"2021-11-21T09:47:16","guid":{"rendered":"https:\/\/mathe-lernen.net\/?p=3647"},"modified":"2022-04-10T08:02:07","modified_gmt":"2022-04-10T06:02:07","slug":"der-kegel","status":"publish","type":"post","link":"https:\/\/mathe-lernen.net\/?p=3647","title":{"rendered":"Der Kegel"},"content":{"rendered":"\n<div class=\"wp-block-file\"><a href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/04\/AB_2_Berechnungen-am-Kegel.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">\u25ba Arbeitsblattt _Der Kegel<\/a><a href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/04\/AB_2_Berechnungen-am-Kegel.pdf\" class=\"wp-block-file__button\" download>Herunterladen<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/04\/AB_2_Berechnungen-am-Kegel_l\u00f6sung.pdf\">\u25ba Arbeitsblatt Der Kegel_(L\u00f6sungen)<\/a><a href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/04\/AB_2_Berechnungen-am-Kegel_l\u00f6sung.pdf\" class=\"wp-block-file__button\" download>Herunterladen<\/a><\/div>\n\n\n\n<p class=\"has-white-color has-text-color has-background\" style=\"background-color:#5e5bff\">Der Kegel ist ein Spitzk\u00f6rper. Er besitzt 2 Fl\u00e4chen, keine Ecken aber eine Kante und eine Spitze.<br>Zwei seiner Kennlinien sind der Radius (r) der Grundfl\u00e4che und die H\u00f6he (h) des Kegels, die senkrecht zur Grundfl\u00e4che verl\u00e4uft.  Die beiden  Kennlinien spannen beim Kegel ein rechtwinkliges Dreieck auf, dessen Hypotenuse die Mantellinie (s)  des Kegels ist.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#fff530\">Die Mantellinie (s)  wird in der Applikation leider (f) genannt.<\/p>\n\n\n\n<iframe loading=\"lazy\" scrolling=\"no\" title=\"Der Kegel\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/XnTH43Qa\/width\/780\/height\/880\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/false\/rc\/false\/ld\/false\/sdz\/false\/ctl\/false\" width=\"780px\" height=\"880px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe>\n\n\n\n<p class=\"has-white-color has-primary-background-color has-text-color has-background\">Das Volumen des Kegels:<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#e2ff8d\"><a href=\"https:\/\/www.geogebra.org\/m\/P7dYRTb8\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Geogebra App zum Volumen des Kegels<\/strong><\/a><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Kegel - Volumen berechnen | geometrische K\u00f6rper - Mathematik - einfach erkl\u00e4rt | Lehrerschmidt\" width=\"860\" height=\"484\" src=\"https:\/\/www.youtube.com\/embed\/In0ewtaDpZQ?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"has-white-color has-primary-background-color has-text-color has-background\">Die Oberfl\u00e4che des Kegels:<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#e3ff90\"><a href=\"https:\/\/www.geogebra.org\/m\/ee58Ru4G\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Geogebra App zur Oberfl\u00e4che (mit Abwicklung und Herleitung der Formel)<\/strong><\/a><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Kegel - Oberfl\u00e4che berechnen | Geometrische K\u00f6rper | Mathematik - einfach erkl\u00e4rt | Lehrerschmidt\" width=\"860\" height=\"484\" src=\"https:\/\/www.youtube.com\/embed\/2bTUdVtbsd8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-white-color has-text-color has-background\" style=\"background-color:#6850ff\">L\u00f6sungen:<\/p>\n<div class=\"pvc_clear\"><\/div><p id=\"pvc_stats_3647\" class=\"pvc_stats all  \" data-element-id=\"3647\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p><div class=\"pvc_clear\"><\/div> ","protected":false},"excerpt":{"rendered":"<p>Der Kegel ist ein Spitzk\u00f6rper. Er besitzt 2 Fl\u00e4chen, keine Ecken aber eine Kante und eine Spitze.Zwei seiner Kennlinien sind der Radius (r) der Grundfl\u00e4che und die H\u00f6he (h) des Kegels, die senkrecht zur Grundfl\u00e4che verl\u00e4uft. Die beiden Kennlinien spannen beim Kegel ein rechtwinkliges Dreieck auf, dessen Hypotenuse die Mantellinie (s) des Kegels ist. Die Mantellinie (s) wird in der<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_3647\" class=\"pvc_stats all  \" data-element-id=\"3647\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[959,994],"tags":[348,203,293],"class_list":["post-3647","post","type-post","status-publish","format-standard","hentry","category-koerper","category-kegel","tag-kegel","tag-volumen","tag-oberflaeche"],"_links":{"self":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/3647","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3647"}],"version-history":[{"count":0,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/3647\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3647"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3647"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3647"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}