{"id":713,"date":"2009-11-29T20:03:00","date_gmt":"2009-11-29T20:03:00","guid":{"rendered":"http:\/\/wp.andreas.bieri.name\/myblog\/?p=713"},"modified":"2009-11-29T20:03:00","modified_gmt":"2009-11-29T20:03:00","slug":"lsung-quiz-qua-20081","status":"publish","type":"post","link":"http:\/\/52.29.166.97\/myblog\/2009\/11\/29\/lsung-quiz-qua-20081\/","title":{"rendered":"L\u00f6sung Quiz QUA 2008\/1"},"content":{"rendered":"<h4>Aufgabe<\/h4>\n<p>Wie kann man die Zahlen 23 und 27 mit der Zahl <b>1<\/b>, Additionen (<b>+<\/b>), Multiplikationen (<b>x<\/b>) und Klammern m\u00f6glichst kurz schreiben? Wie oft wird die Zahl 1 gebraucht ?<\/p>\n<p>L\u00f6sung:<\/p>\n<p>23 = (1+1)\u00d7((1+1)\u00d7((1+1)\u00d7(1+1)+1)+1)+1<\/p>\n<p>27 = (1+1+1) \u00d7 (1+1+1) \u00d7 (1+1+1)<\/p>\n<p>Es gibt keinen einfachen Zusammenhang zwischen der Gr\u00f6sse einer Zahl und der ben\u00f6tigten Anzahl Symbole (oder Formeln), diese darzustellen.<\/p>\n<h4>Neue Quizfrage<\/h4>\n<p>Im Punkt <b>A<\/b> stehe eine Strahlungsquelle &#8211; ein Antenne oder, etwas makaber, ein havariertes Atomkraftwerk. Man sitzt im Punkt <b>B<\/b> und muss nach Punkt <b>C<\/b>, m\u00f6chte aber unterwegs eine m\u00f6glichst geringe Strahlendosis erwischen. Wie muss man gehen? Der k\u00fcrzeste Weg ist eine Gerade von <b>B<\/b> nach <b>C<\/b>, dieser f\u00fchrt aber nahe an der Strahlungquelle vorbei und ist deswegen nicht optimal. Macht man einen grossen Umweg, wird man Strahlung mit geringer Intensit\u00e4t ausgesetzt sein, muss daf\u00fcr aber viel l\u00e4nger gehen (man laufe mit konstanter Geschwingkeit).<\/p>\n<p>F\u00fcr die Aufgabe ist die Art der Strahlung nicht wichtig; vorausgesetzt wird das \u00fcbliche quadratische Gesetz: in der Entfernung r von der Quelle sei die Intensit\u00e4t proprtional zu 1\/r<sup>2<\/sup>.<\/p>\n<p>(Strahlendosis = Intensit\u00e4t mal Einwirkungszeit)<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-711 alignnone\" src=\"http:\/\/wp.andreas.bieri.name\/wp-content\/uploads\/2016\/04\/image-39.png\" alt=\"image.png\" width=\"586\" height=\"409\" srcset=\"http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2016\/04\/image-39.png 586w, http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2016\/04\/image-39-300x209.png 300w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><\/p>\n<p>Tip: Kreise und Geraden, Smith-Diagramm&#8230;.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aufgabe Wie kann man die Zahlen 23 und 27 mit der Zahl 1, Additionen (+), Multiplikationen (x) und Klammern m\u00f6glichst kurz schreiben? Wie oft wird die Zahl 1 gebraucht ? L\u00f6sung: 23 = (1+1)\u00d7((1+1)\u00d7((1+1)\u00d7(1+1)+1)+1)+1 27 = (1+1+1) \u00d7 (1+1+1) \u00d7 (1+1+1) Es gibt keinen einfachen Zusammenhang zwischen der Gr\u00f6sse einer Zahl und der ben\u00f6tigten Anzahl [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4],"tags":[105],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>L\u00f6sung Quiz QUA 2008\/1 - Merkbar.<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/52.29.166.97\/myblog\/2009\/11\/29\/lsung-quiz-qua-20081\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"L\u00f6sung Quiz QUA 2008\/1 - Merkbar.\" \/>\n<meta property=\"og:description\" content=\"Aufgabe Wie kann man die Zahlen 23 und 27 mit der Zahl 1, Additionen (+), Multiplikationen (x) und Klammern m\u00f6glichst kurz schreiben? Wie oft wird die Zahl 1 gebraucht ? L\u00f6sung: 23 = (1+1)\u00d7((1+1)\u00d7((1+1)\u00d7(1+1)+1)+1)+1 27 = (1+1+1) \u00d7 (1+1+1) \u00d7 (1+1+1) Es gibt keinen einfachen Zusammenhang zwischen der Gr\u00f6sse einer Zahl und der ben\u00f6tigten Anzahl [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"http:\/\/52.29.166.97\/myblog\/2009\/11\/29\/lsung-quiz-qua-20081\/\" \/>\n<meta property=\"og:site_name\" content=\"Merkbar.\" \/>\n<meta property=\"article:published_time\" content=\"2009-11-29T20:03:00+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/wp.andreas.bieri.name\/wp-content\/uploads\/2016\/04\/image-39.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Verfasst von\" \/>\n\t<meta name=\"twitter:data1\" content=\"wp_blogadmin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Gesch\u00e4tzte Lesezeit\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 Minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/#website\",\"url\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/\",\"name\":\"Merkbar.\",\"description\":\"IT, Elektronik und Mathematik\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"de\"},{\"@type\":\"ImageObject\",\"@id\":\"http:\/\/52.29.166.97\/myblog\/2009\/11\/29\/lsung-quiz-qua-20081\/#primaryimage\",\"inLanguage\":\"de\",\"url\":\"http:\/\/wp.andreas.bieri.name\/wp-content\/uploads\/2016\/04\/image-39.png\",\"contentUrl\":\"http:\/\/wp.andreas.bieri.name\/wp-content\/uploads\/2016\/04\/image-39.png\"},{\"@type\":\"WebPage\",\"@id\":\"http:\/\/52.29.166.97\/myblog\/2009\/11\/29\/lsung-quiz-qua-20081\/#webpage\",\"url\":\"http:\/\/52.29.166.97\/myblog\/2009\/11\/29\/lsung-quiz-qua-20081\/\",\"name\":\"L\u00f6sung Quiz QUA 2008\/1 - Merkbar.\",\"isPartOf\":{\"@id\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"http:\/\/52.29.166.97\/myblog\/2009\/11\/29\/lsung-quiz-qua-20081\/#primaryimage\"},\"datePublished\":\"2009-11-29T20:03:00+00:00\",\"dateModified\":\"2009-11-29T20:03:00+00:00\",\"author\":{\"@id\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/#\/schema\/person\/47691942dec3f2eb9d34bb8b5507870d\"},\"breadcrumb\":{\"@id\":\"http:\/\/52.29.166.97\/myblog\/2009\/11\/29\/lsung-quiz-qua-20081\/#breadcrumb\"},\"inLanguage\":\"de\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\/\/52.29.166.97\/myblog\/2009\/11\/29\/lsung-quiz-qua-20081\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\/\/52.29.166.97\/myblog\/2009\/11\/29\/lsung-quiz-qua-20081\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Startseite\",\"item\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"L\u00f6sung Quiz QUA 2008\/1\"}]},{\"@type\":\"Person\",\"@id\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/#\/schema\/person\/47691942dec3f2eb9d34bb8b5507870d\",\"name\":\"wp_blogadmin\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/#personlogo\",\"inLanguage\":\"de\",\"url\":\"http:\/\/1.gravatar.com\/avatar\/d0dc804558b03f640b22e497ec010c9a?s=96&d=mm&r=g\",\"contentUrl\":\"http:\/\/1.gravatar.com\/avatar\/d0dc804558b03f640b22e497ec010c9a?s=96&d=mm&r=g\",\"caption\":\"wp_blogadmin\"},\"url\":\"http:\/\/52.29.166.97\/myblog\/author\/wp_blogadmin\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"L\u00f6sung Quiz QUA 2008\/1 - Merkbar.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/52.29.166.97\/myblog\/2009\/11\/29\/lsung-quiz-qua-20081\/","og_locale":"de_DE","og_type":"article","og_title":"L\u00f6sung Quiz QUA 2008\/1 - Merkbar.","og_description":"Aufgabe Wie kann man die Zahlen 23 und 27 mit der Zahl 1, Additionen (+), Multiplikationen (x) und Klammern m\u00f6glichst kurz schreiben? 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