{"id":194,"date":"2023-05-15T10:34:14","date_gmt":"2023-05-15T10:34:14","guid":{"rendered":"https:\/\/mathematerial.ch\/?page_id=194"},"modified":"2024-08-07T07:36:42","modified_gmt":"2024-08-07T07:36:42","slug":"2a-die-saetze-von-thales-und-pythagoras","status":"publish","type":"page","link":"https:\/\/mathematerial.ch\/?page_id=194","title":{"rendered":"2a. Die S\u00e4tze von Thales und Pythagoras"},"content":{"rendered":"\n<p class=\"has-medium-font-size\"><strong>Themenbuch<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 1c:<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/003.lmvz.ch\/lehrmittelsites\/mathe_sek\/data\/mathsek1_docs\/geogebra\/M2_2a_rechtwinklige_dreiecke.html\">Rechtwinklige Dreiecke<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 3a:<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/003.lmvz.ch\/lehrmittelsites\/mathe_sek\/data\/mathsek1_docs\/geogebra\/M2_2a_der_satz_von_pythagoras.html\">Der Satz von  Pythagoras<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Arbeitsheft:<\/strong><\/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=\"Satz des Thales | Mathematik - einfach erkl\u00e4rt | Lehrerschmidt\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/dsAiVuii80M?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=\"Satz des Pythagoras - Kathete berechnen - einfach erkl\u00e4rt | Lehrerschmidt\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/66LCWQlzM_g?start=67&#038;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-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Pythagorean theorem water demo\" width=\"800\" height=\"600\" src=\"https:\/\/www.youtube.com\/embed\/CAkMUdeB06o?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=\"Pythagoras\u2019 theorem, an animated explanation!\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/vbG_YBTiN38?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_2a_aussagen_zu_rechtwinkligen_dreiecken.html\">Aussagen zu rechtwinkligen Dreiecken<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 1.2:<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/003.lmvz.ch\/lehrmittelsites\/mathe_sek\/data\/mathsek1_docs\/geogebra\/M2_2a_beweis_des_satzes_von_thales.html\">&#8222;Satz von Thales&#8220; &#8211; Beweis<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 2.1:<\/strong><\/p>\n\n\n\n<p>Wenn Du einen Thaleskreis \u00fcber einer Strecke konstruierst kann der Dreieckspitz, den Du anschliessend konstruierst, in drei m\u00f6glichen Gebieten sein:<\/p>\n\n\n\n<p>Innerhalb des Halbkreises: Das Dreieck wird stumpfwinklig<\/p>\n\n\n\n<p>Auf dem Halbkreis: Das Dreieck wird rechtwinklig<\/p>\n\n\n\n<p>Ausserhalb des Halbkreises: Das Dreieck wird spitzwinklig<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 2.5:<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/003.lmvz.ch\/lehrmittelsites\/mathe_sek\/data\/mathsek1_docs\/geogebra\/M2_2a_vierecke_und_thaleskreis.html\">Vierecke und Thaleskreis<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 2.6:<\/strong><\/p>\n\n\n\n<p>Achtung: Die Summe der Winkel in einem Dreieck ist immer 180 Grad.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 4.1:<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/003.lmvz.ch\/lehrmittelsites\/mathe_sek\/data\/mathsek1_trainer2\/a1_2_1_4_1.html\">Seitenl\u00e4ngen im rechtwinkligen Dreieck<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 4.12d:<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/003.lmvz.ch\/lehrmittelsites\/mathe_sek\/data\/mathsek1_docs\/geogebra\/M2_2a_spirale.html\">Spirale<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 4.4:<\/strong><\/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=\"Diagonale im Quadrat, Herleitung der Formel mit dem Satz des Pythagoras\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/JGxOOGjp5sQ?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 4.51:<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/003.lmvz.ch\/lehrmittelsites\/mathe_sek\/data\/mathsek1_trainer2\/a2_2_1_4_51.html\">Berechnung einer Kathete<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zu Aufgabe 4.52:<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/003.lmvz.ch\/lehrmittelsites\/mathe_sek\/data\/mathsek1_trainer2\/a2_2_1_4_52.html\">Seitenl\u00e4ngen im rechtwinkligen Dreieck<\/a><\/p>\n\n\n\n<p>Zu Aufgabe 4.6:<\/p>\n\n\n\n<p>Die H\u00f6he im gleichseitigen Dreieck halbiert die entsprechende Dreiecksseite. Wenn z.B. die Seite 6cm lang ist, teilt die H\u00f6he die gegen\u00fcberliegende Seite in 2 x 3cm Teilst\u00fccke auf.<\/p>\n\n\n\n<p>Zu Aufgabe 5.3:<\/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=\"Grundlagen der Vermessung: Schweizer Koordinatensystem LV95\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/WNcUxt7QfvI?start=29&#038;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","protected":false},"excerpt":{"rendered":"<p>Themenbuch Zu Aufgabe 1c: Rechtwinklige Dreiecke Zu Aufgabe 3a: Der Satz von Pythagoras Arbeitsheft: Zu Aufgabe 1.1: Aussagen zu rechtwinkligen<\/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-194","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathematerial.ch\/index.php?rest_route=\/wp\/v2\/pages\/194","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=194"}],"version-history":[{"count":19,"href":"https:\/\/mathematerial.ch\/index.php?rest_route=\/wp\/v2\/pages\/194\/revisions"}],"predecessor-version":[{"id":650,"href":"https:\/\/mathematerial.ch\/index.php?rest_route=\/wp\/v2\/pages\/194\/revisions\/650"}],"wp:attachment":[{"href":"https:\/\/mathematerial.ch\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}