{"id":219,"date":"2023-05-15T10:37:53","date_gmt":"2023-05-15T10:37:53","guid":{"rendered":"https:\/\/mathematerial.ch\/?page_id=219"},"modified":"2025-01-02T12:08:27","modified_gmt":"2025-01-02T12:08:27","slug":"4c-die-pyramide","status":"publish","type":"page","link":"https:\/\/mathematerial.ch\/?page_id=219","title":{"rendered":"4c. Die Pyramide"},"content":{"rendered":"\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=\"Pyramide - Volumen berechnen | Mathematik - einfach erkl\u00e4rt | Lehrerschmidt\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/bAW92gLFCiQ?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\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=\"Pyramide - Oberfl\u00e4che berechnen | Mathematik - einfach erkl\u00e4rt | Lehrerschmidt\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/kSxeMtSysqA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\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=\"Quadratische PYRAMIDE Seiten berechnen mit PYTHAGORAS \u2013 Seitenh\u00f6he, H\u00f6he, Seitenkante\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/XtQgQhRAGS8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 1.1:<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/003.lmvz.ch\/lehrmittelsites\/mathe_sek\/data\/mathsek1_docs\/geogebra\/M2_4c_pyramiden.html\">Pyramiden 1<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 1.2:<\/strong><\/p>\n\n\n\n<p>Schau immer den Riss an, wo die Spitze der Pyramide sein wird (z.B. Teilaufgabe b: rechts).<\/p>\n\n\n\n<p>Dann zeichne diesen Punkt ein. Nun weisst Du, in welche Richtung die Pyramide zeigt.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 2.1:<\/strong><\/p>\n\n\n\n<p>Immer zwei Seitenkanten, bei denen sich in die Fl\u00e4chen der Pyramide ber\u00fchren, sind gleich lang. <\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 2.2:<\/strong><\/p>\n\n\n\n<p>Der H\u00f6henfusspunkt l\u00e4sst sich finden, indem beim Grundriss Hilfslinien von den Dreiecksspitzen senkrecht zur Grundseite gezogen werden. Dort, wo sie sich treffen, ist der H\u00f6henfusspunkt.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 3.1:<\/strong><\/p>\n\n\n\n<p>Spannend wird es dann, wenn Du mit zwei verschiedenen Farben die zwei Tetraeder mit korrekten Sichtbarkeiten ausmalst.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 4.1:<\/strong><\/p>\n\n\n\n<p>Das Volumen der Pyramide lautet: Grundfl\u00e4che * H\u00f6he : 3<\/p>\n\n\n\n<p><a href=\"https:\/\/003.lmvz.ch\/lehrmittelsites\/mathe_sek\/data\/mathsek1_trainer2\/a1_4_3_4_1.html\">Pyramidenvolumen 1<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 4.3:<\/strong><\/p>\n\n\n\n<p>\u00dcberleg Dir, warum es so ist.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 4.4:<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/003.lmvz.ch\/lehrmittelsites\/mathe_sek\/data\/mathsek1_docs\/geogebra\/M2_4c_wuerfelzerlegung.html\">W\u00fcrfelzerlegung<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 4.6:<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/003.lmvz.ch\/lehrmittelsites\/mathe_sek\/data\/mathsek1_docs\/geogebra\/M2_4c_pyramidenvolumen.html\">Pyramidenvolumen 2<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Zu Aufgabe 1.1: Pyramiden 1 Zu Aufgabe 1.2: Schau immer den Riss an, wo die Spitze der Pyramide sein wird<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"colormag_page_container_layout":"default_layout","colormag_page_sidebar_layout":"default_layout","footnotes":""},"class_list":["post-219","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathematerial.ch\/index.php?rest_route=\/wp\/v2\/pages\/219","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematerial.ch\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathematerial.ch\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathematerial.ch\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematerial.ch\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=219"}],"version-history":[{"count":7,"href":"https:\/\/mathematerial.ch\/index.php?rest_route=\/wp\/v2\/pages\/219\/revisions"}],"predecessor-version":[{"id":712,"href":"https:\/\/mathematerial.ch\/index.php?rest_route=\/wp\/v2\/pages\/219\/revisions\/712"}],"wp:attachment":[{"href":"https:\/\/mathematerial.ch\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}