{"id":4769,"date":"2022-09-02T14:17:50","date_gmt":"2022-09-02T12:17:50","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/slovni-ulohy-priklad-4-trojclenka\/"},"modified":"2022-09-02T14:19:11","modified_gmt":"2022-09-02T12:19:11","slug":"slovni-ulohy-priklad-4-trojclenka","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/slovni-ulohy-priklad-4-trojclenka\/","title":{"rendered":"Slovn\u00ed \u00falohy &#8211; p\u0159\u00edklad 4 (troj\u010dlenka)"},"content":{"rendered":"<p><strong>Zad\u00e1n\u00ed:<\/strong> Na \u010d\u00edseln\u00e9 ose jsou obrazy t\u0159\u00ed \u010d\u00edsel: <strong><em>0<\/em><\/strong>, <em><strong>m<\/strong> <\/em>a <strong><em>3m-1<\/em><\/strong>. Vyzna\u010den\u00e9 d\u00edlky jsou stejn\u011b dlouh\u00e9.<\/p>\n<p style=\"text-align: center\" data-mce-style=\"text-align: center;\"><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone wp-image-4768\" src=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/trojclenka-300x24.png\" alt=\"\" width=\"800\" height=\"64\" data-mce-src=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/trojclenka-300x24.png\" srcset=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/trojclenka-300x24.png 300w, https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/trojclenka.png 594w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\"><strong>1) Vyj\u00e1d\u0159ete pom\u011br: m : 3m-1 =<\/strong><\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\"><strong>2) Na \u010d\u00edseln\u00e9 ose silnou \u010darou vyzna\u010dte a popi\u0161te obraz \u010d\u00edsla 1<\/strong><\/p>\n<p align=\"center\"><\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\"><strong>\u0158e\u0161en\u00ed:<\/strong><\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">1) Odpo\u010d\u00edt\u00e1me si po\u010det d\u00edlk\u016f, kter\u00e9 d\u011bl\u00ed m a 3m-1 od nuly, t\u00edm se dostaneme k pom\u011bru:<br \/>m\u2026\u2026\u2026 5 (d\u00edlk\u016f)<br \/>3m-1&#8230;. 8 (d\u00edlk\u016f)<br \/><strong>\u0158e\u0161en\u00ed (1): m : 3m-1 = 5:8<\/strong><br \/>&nbsp; <br \/>2) Nejprve si vyj\u00e1d\u0159\u00edme vztah:<br \/>m = 5x <br \/>3m &#8211; 1 = 8x<br \/>2) Nyn\u00ed vypo\u010d\u00edt\u00e1me x, dosad\u00edme si za m 5x, a\u0165 m\u00e1me jen jednu nezn\u00e1mou:<br \/>$$3\\cdot5x-1=8x$$<br \/>Vypo\u010d\u00edt\u00e1me a nezn\u00e1m\u00e9 ponech\u00e1me na jedn\u00e9 stran\u011b a \u010d\u00edslo p\u0159evedeme:<br \/>$$15x-8x=1$$<br \/>Se\u010dteme nezn\u00e1m\u00e9:<br \/>$$7x=1$$<br \/>Nyn\u00ed p\u0159epo\u010d\u00edt\u00e1me na 1x:<br \/>$$x=\\frac{1}{7}$$<br \/><strong>\u0158e\u0161en\u00ed (2): Jeden d\u00edlek na \u010d\u00edseln\u00e9 ose je 1\/7, proto je 1 na \u010d\u00edseln\u00e9 ose v sedm\u00e9m d\u00edlku.<\/strong><\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">\u010casov\u00e1 n\u00e1ro\u010dnost: 6 minut<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">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-4769","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>Slovn\u00ed \u00falohy - p\u0159\u00edklad 4 (troj\u010dlenka) | 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\/slovni-ulohy-priklad-4-trojclenka\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Slovn\u00ed \u00falohy - p\u0159\u00edklad 4 (troj\u010dlenka) | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Zad\u00e1n\u00ed: Na \u010d\u00edseln\u00e9 ose jsou obrazy t\u0159\u00ed \u010d\u00edsel: 0, m a 3m-1. Vyzna\u010den\u00e9 d\u00edlky jsou stejn\u011b dlouh\u00e9. 1) Vyj\u00e1d\u0159ete pom\u011br: m : 3m-1 = 2) Na \u010d\u00edseln\u00e9 ose silnou \u010darou vyzna\u010dte a popi\u0161te obraz \u010d\u00edsla 1 \u0158e\u0161en\u00ed: 1) Odpo\u010d\u00edt\u00e1me si po\u010det d\u00edlk\u016f, kter\u00e9 d\u011bl\u00ed m a 3m-1 od nuly, t\u00edm se dostaneme k pom\u011bru:m\u2026\u2026\u2026 5 ... 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Vyzna\u010den\u00e9 d\u00edlky jsou stejn\u011b dlouh\u00e9. 1) Vyj\u00e1d\u0159ete pom\u011br: m : 3m-1 = 2) Na \u010d\u00edseln\u00e9 ose silnou \u010darou vyzna\u010dte a popi\u0161te obraz \u010d\u00edsla 1 \u0158e\u0161en\u00ed: 1) Odpo\u010d\u00edt\u00e1me si po\u010det d\u00edlk\u016f, kter\u00e9 d\u011bl\u00ed m a 3m-1 od nuly, t\u00edm se dostaneme k pom\u011bru:m\u2026\u2026\u2026 5 ... 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