{"id":2772,"date":"2021-05-22T10:17:47","date_gmt":"2021-05-22T08:17:47","guid":{"rendered":"https:\/\/mathe-lernen.net\/?p=2772"},"modified":"2023-06-25T10:29:10","modified_gmt":"2023-06-25T08:29:10","slug":"quadratische-funktion-anwendung-bruecke-geogebra","status":"publish","type":"post","link":"https:\/\/mathe-lernen.net\/?p=2772","title":{"rendered":"quadratische Funktion &#8211; Anwendungen Br\u00fccke,Weitsprung,&#8230;"},"content":{"rendered":"\n<p class=\"has-background\" style=\"background-color:#a4ffa7\"><strong>Pass den Graph der Funktion y=ax\u00b2+b an den Verlauf der Br\u00fcckenkonstruktion an! <\/strong><br>Die Koeffizienten a und b lassen sich so einstellen, dass der Br\u00fcckenbogen nachgebildet wird!<\/p>\n\n\n\n<p><\/p>\n\n\n\n<iframe loading=\"lazy\" scrolling=\"no\" title=\"Modellieren: Br\u00fccke II\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/vkYwhdRC\/width\/800\/height\/603\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/true\/rc\/false\/ld\/false\/sdz\/true\/ctl\/false\" width=\"800px\" height=\"603px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe>\n\n\n\n<p class=\"has-background\" style=\"background-color:#d6ff9c\">Variante 2:  <br><br><strong>a(x+d)\u00b2 +e<\/strong> oder <strong>ax\u00b2 +bx +c<\/strong> <\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#ff9ccc\"><strong>Gib deine Funktionsvorschrift ohne &#8222;y=&#8220; in die Eingabezeile ein!<\/strong><\/p>\n\n\n\n<iframe loading=\"lazy\" scrolling=\"no\" title=\"Der Br\u00fcckenbogen\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/NTFqCwUJ\/width\/1600\/height\/750\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/true\/asb\/false\/sri\/false\/rc\/false\/ld\/false\/sdz\/false\/ctl\/false\" width=\"1600px\" height=\"750px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe>\n\n\n\n<iframe loading=\"lazy\" scrolling=\"no\" title=\"Quadratische Funktion Eisenbahnbr\u00fccke\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/ktrgwfhh\/width\/1366\/height\/517\/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=\"1366px\" height=\"517px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe>\n\n\n\n<p class=\"has-background\" style=\"background-color:#b7f8e3\">Weitsprung als allgemeine Form der quadratischen Funktion<\/p>\n\n\n\n<iframe loading=\"lazy\" scrolling=\"no\" title=\"Weitsprung mit \u00dcberh\u00f6hung\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/b4z3zger\/width\/800\/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=\"800px\" height=\"500px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe>\n<div class=\"pvc_clear\"><\/div><p id=\"pvc_stats_2772\" class=\"pvc_stats all  \" data-element-id=\"2772\" 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>Pass den Graph der Funktion y=ax\u00b2+b an den Verlauf der Br\u00fcckenkonstruktion an! Die Koeffizienten a und b lassen sich so einstellen, dass der Br\u00fcckenbogen nachgebildet wird! Variante 2: a(x+d)\u00b2 +e oder ax\u00b2 +bx +c Gib deine Funktionsvorschrift ohne &#8222;y=&#8220; in die Eingabezeile ein! Weitsprung als allgemeine Form der quadratischen Funktion<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_2772\" class=\"pvc_stats all  \" data-element-id=\"2772\" 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":[138,966,54,62],"tags":[128,406,407],"class_list":["post-2772","post","type-post","status-publish","format-standard","hentry","category-geogebra","category-quadratische-funktion","category-quadratische-funktionen","category-mathematik-im-alltag-klasse-10","tag-quadratische-funktion","tag-bruecke","tag-anwendung"],"a3_pvc":{"activated":true,"total_views":536,"today_views":1},"_links":{"self":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/2772","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=2772"}],"version-history":[{"count":0,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/2772\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2772"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2772"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2772"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}