{"id":1174,"date":"2020-06-19T12:20:01","date_gmt":"2020-06-19T10:20:01","guid":{"rendered":"http:\/\/mathe-lernen.net\/?p=1174"},"modified":"2024-07-15T07:22:18","modified_gmt":"2024-07-15T05:22:18","slug":"trapez-konstruktion","status":"publish","type":"post","link":"https:\/\/mathe-lernen.net\/?p=1174","title":{"rendered":"Trapez &#8211; Konstruktion"},"content":{"rendered":"\n<p><img loading=\"lazy\" decoding=\"async\" width=\"50\" height=\"50\" class=\"wp-image-7501\" style=\"width: 50px;\" src=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/06\/award2.png\" alt=\"\" srcset=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/06\/award2.png 100w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/06\/award2-80x80.png 80w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/06\/award2-50x50.png 50w\" sizes=\"auto, (max-width: 50px) 100vw, 50px\" \/><\/p>\n\n\n\n<p>Konstruktion von Trapezen:<\/p>\n\n\n\n<p>Mit vier gegebenen geeigneten Gr\u00f6\u00dfen  l\u00e4sst sich ein Trapez  konstruieren. Dabei existieren jedoch mehrere Varianten des Vorgehens , die von den gegebenen Gr\u00f6\u00dfen abh\u00e4ngen.<\/p>\n\n\n\n<p class=\"has-light-gray-background-color has-background\">Hier mal die Variante 2 Seiten &#8211; 2 Winkel:<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><iframe loading=\"lazy\" scrolling=\"no\" title=\"Trapez 1 - Konstruktionsanleitung\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/zw4waShH\/width\/900\/height\/500\/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=\"900px\" height=\"500px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe><\/pre>\n\n\n\n<p class=\"has-background\" style=\"background-color:#cef0ff\">und als Video &#8230;<\/p>\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=\"Konstruktion Trapez\" width=\"860\" height=\"645\" src=\"https:\/\/www.youtube.com\/embed\/axOOqLBT8Q8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"has-background\" style=\"background-color:#d4fbff\">Grunds\u00e4tzlich gilt:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Planfigur zeichnen und die gegebenen St\u00fccke f\u00e4rben<\/li>\n\n\n\n<li>Alpha und Beta bestimmen<\/li>\n\n\n\n<li>Grundseite(Parallele) (a) zeichnen<\/li>\n\n\n\n<li>Winkel Alpha in Eckpunkt A und Beta im Eckpunkt antragen<\/li>\n\n\n\n<li>Trapez schlie\u00dfen<\/li>\n<\/ol>\n\n\n\n<p class=\"has-background\" style=\"background-color:#ccf0ff\">Zum <strong>Schlie\u00dfen <\/strong>des Trapezes benutzt man  entweder die gegebene H\u00f6he oder eine weitere  gegebene Seite oder sogar die L\u00e4nge einer Diagonale  unter Nutzung der Parallelit\u00e4t zweier Trapezseiten.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#ffb6e4\">Die <a href=\"https:\/\/youtu.be\/r-CUjT6Evrg\" target=\"_blank\" rel=\"noreferrer noopener\">Parallelverschiebung<\/a> ist ein gutes Hilfsmittel bei der Trapezkonstruktion!<\/p>\n\n\n\n<p class=\"has-light-gray-background-color has-background\">Hier einige weitere M\u00f6glichkeiten der Trapezkonstruktion:<\/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=\"Konstruktion Trapez   verschiedene M\u00f6glichkeiten\" width=\"860\" height=\"484\" src=\"https:\/\/www.youtube.com\/embed\/YJ75N4PNAg0?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n<div class=\"pvc_clear\"><\/div><p id=\"pvc_stats_1174\" class=\"pvc_stats all  \" data-element-id=\"1174\" 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>Konstruktion von Trapezen: Mit vier gegebenen geeigneten Gr\u00f6\u00dfen l\u00e4sst sich ein Trapez konstruieren. Dabei existieren jedoch mehrere Varianten des Vorgehens , die von den gegebenen Gr\u00f6\u00dfen abh\u00e4ngen. Hier mal die Variante 2 Seiten &#8211; 2 Winkel: und als Video &#8230; Grunds\u00e4tzlich gilt: Zum Schlie\u00dfen des Trapezes benutzt man entweder die gegebene H\u00f6he oder eine weitere gegebene Seite oder sogar die<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_1174\" class=\"pvc_stats all  \" data-element-id=\"1174\" 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":[982,41],"tags":[131,230,343,366],"class_list":["post-1174","post","type-post","status-publish","format-standard","hentry","category-vierecke-flaechen","category-vierecke","tag-konstruktion","tag-zeichnen","tag-viereck","tag-trapez"],"_links":{"self":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1174","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=1174"}],"version-history":[{"count":1,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1174\/revisions"}],"predecessor-version":[{"id":8349,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1174\/revisions\/8349"}],"wp:attachment":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1174"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1174"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}