{"id":4681,"date":"2022-09-01T12:06:39","date_gmt":"2022-09-01T10:06:39","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/kruznice-priklad-1\/"},"modified":"2022-09-01T12:06:39","modified_gmt":"2022-09-01T10:06:39","slug":"kruznice-priklad-1","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/kruznice-priklad-1\/","title":{"rendered":"Kru\u017enice &#8211; p\u0159\u00edklad 1"},"content":{"rendered":"<p><strong>Zad\u00e1n\u00ed:<\/strong>  Rusk\u00e9 kolo m\u00e1 15 kabin a ot\u00e1\u010d\u00ed se kolem vodorovn\u00e9 osy. Dokola se oto\u010d\u00ed za 4 minuty a 16 sekund. Ka\u017ed\u00e1 kabina se tak pohybuje rovnom\u011brn\u011b po kru\u017enici a za ka\u017ed\u00e9 4 sekundy uraz\u00ed dr\u00e1hu 3 metry dlouhou. Nad rozm\u011bry kabiny neuva\u017eujte. P\u0159i v\u00fdpo\u010dtech kabinu nahra\u010fte jedn\u00edm jej\u00edm bodem.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\" wp-image-4680 aligncenter\" src=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/priklad-kruznice.png\" alt=\"\" width=\"480\" height=\"487\" data-mce-src=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/priklad-kruznice.png\" srcset=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/priklad-kruznice.png 270w, https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/priklad-kruznice-100x100.png 100w\" sizes=\"(max-width: 480px) 100vw, 480px\" \/><\/p>\n<p><strong>Vypo\u010dt\u011bte (v metrech):<\/strong><br \/>a) <strong>d\u00e9lku dr\u00e1hy<\/strong>, kterou uraz\u00ed jedna kabina p\u0159i jednom oto\u010den\u00ed rusk\u00e9ho kola (tedy za 4 minuty a 16 sekund)<br \/>b) <strong>velikost v\u00fd\u0161kov\u00e9ho rozd\u00edlu<\/strong>, kter\u00fd p\u0159i ot\u00e1\u010den\u00ed rusk\u00e9ho kola p\u0159ekon\u00e1 jedna kabina od nejni\u017e\u0161\u00ed mo\u017en\u00e9 polohy k nejvy\u0161\u0161\u00ed mo\u017en\u00e9 poloze. V\u00fdsledek zaokrouhlete na cel\u00e9 metry.<\/p>\n<p>\u0158e\u0161en\u00ed:<\/p>\n<p><em>a) d\u00e9lka dr\u00e1hy<\/em><\/p>\n<p>1) Dosad\u00edme \u010d\u00edsla do troj\u010dlenky: 4 s&#8230;&#8230;.. 3 m 256 s&#8230;.. x m ___________ $$\\frac{x}{3} = \\frac{256}{4} $$ x = 192 m<\/p>\n<p><strong>Za jedno oto\u010den\u00ed kabina uraz\u00ed 192 m.<\/strong><\/p>\n<p><em>b) velikost v\u00fd\u0161kov\u00e9ho rozd\u00edlu<\/em><\/p>\n<p>1) z p\u0159edchoz\u00edho v\u00fdsledk\u016f v\u00edme obvod<br \/>1) o = 192 m<br \/>2) Vzore\u010dek pro v\u00fdpo\u010det d\u00e9lky kru\u017enice:<br \/>o = \u03c0 \u00b7 d<br \/>3) Dosad\u00edme do vzore\u010dku:<br \/>192 = \u03c0 \u00b7 d<br \/>4) Vypo\u010d\u00edt\u00e1me d:<br \/>d = 61 m<\/p>\n<p><strong>Pr\u016fm\u011br, tedy v\u00fd\u0161kov\u00fd rozd\u00edl, je 61 m.<\/strong><\/p>\n<p>\u010casov\u00e1 n\u00e1ro\u010dnost:&nbsp;6-7 minut<br \/>Jedn\u00e1 se o p\u0159\u00edklad z maturitn\u00edho testu.<\/p>\n","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-4681","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Kru\u017enice - p\u0159\u00edklad 1 | Studijni-svet.cz<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/kruznice-priklad-1\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kru\u017enice - p\u0159\u00edklad 1 | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Zad\u00e1n\u00ed: Rusk\u00e9 kolo m\u00e1 15 kabin a ot\u00e1\u010d\u00ed se kolem vodorovn\u00e9 osy. Dokola se oto\u010d\u00ed za 4 minuty a 16 sekund. Ka\u017ed\u00e1 kabina se tak pohybuje rovnom\u011brn\u011b po kru\u017enici a za ka\u017ed\u00e9 4 sekundy uraz\u00ed dr\u00e1hu 3 metry dlouhou. Nad rozm\u011bry kabiny neuva\u017eujte. P\u0159i v\u00fdpo\u010dtech kabinu nahra\u010fte jedn\u00edm jej\u00edm bodem. Vypo\u010dt\u011bte (v metrech):a) d\u00e9lku dr\u00e1hy, ... 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