{"id":3947,"date":"2022-07-18T23:42:31","date_gmt":"2022-07-18T21:42:31","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/koule-zakladni-pojmy-a-rovnice\/"},"modified":"2022-08-03T16:38:36","modified_gmt":"2022-08-03T14:38:36","slug":"koule-zakladni-pojmy-a-rovnice","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/koule-zakladni-pojmy-a-rovnice\/","title":{"rendered":"Koule z\u00e1kladn\u00ed pojmy a rovnice"},"content":{"rendered":"<p>Koule je mno\u017eina v\u0161ech bod\u016f v prostoru, jej\u00edch\u017e vzd\u00e1lenost od bodu <em><strong>S0<\/strong><\/em> je men\u0161\u00ed nebo rovna <strong><em>r<\/em><\/strong><\/p>\n<p>Koule <strong>vznikne rotac\u00ed kruhu kolem p\u0159\u00edmky<\/strong>, kter\u00e1 obsahuje jeho pr\u016fm\u011br.<\/p>\n<p>Koule je<\/p>\n<ul>\n<li>prostorov\u00e9 t\u011bleso<\/li>\n<li>st\u0159edov\u011b symetrick\u00e1<\/li>\n<li>osov\u011b symetrick\u00e1<\/li>\n<li>rovinov\u011b symetrick\u00e1<\/li>\n<\/ul>\n<p>Objem koule vypo\u010d\u00edt\u00e1me:<\/p>\n<p>$$V=\\frac{4}{3}\u03c0r^3$$<\/p>\n<p>Povrch koule je roven:<\/p>\n<p>$$S=4\u03c0r^2$$<\/p>\n<p>Pr\u016fm\u011br koule spo\u010d\u00edt\u00e1me:<\/p>\n<p>$$S=\u03c0r^2$$<\/p>\n","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-3947","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>Koule z\u00e1kladn\u00ed pojmy a rovnice | 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\/koule-zakladni-pojmy-a-rovnice\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Koule z\u00e1kladn\u00ed pojmy a rovnice | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Koule je mno\u017eina v\u0161ech bod\u016f v prostoru, jej\u00edch\u017e vzd\u00e1lenost od bodu S0 je men\u0161\u00ed nebo rovna r Koule vznikne rotac\u00ed kruhu kolem p\u0159\u00edmky, kter\u00e1 obsahuje jeho pr\u016fm\u011br. Koule je prostorov\u00e9 t\u011bleso st\u0159edov\u011b symetrick\u00e1 osov\u011b symetrick\u00e1 rovinov\u011b symetrick\u00e1 Objem koule vypo\u010d\u00edt\u00e1me: $$V=frac{4}{3}\u03c0r^3$$ Povrch koule je roven: $$S=4\u03c0r^2$$ Pr\u016fm\u011br koule spo\u010d\u00edt\u00e1me: $$S=\u03c0r^2$$\" \/>\n<meta property=\"og:url\" content=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/koule-zakladni-pojmy-a-rovnice\/\" \/>\n<meta property=\"og:site_name\" content=\"Studijni-svet.cz\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/studijnisvet\/\" \/>\n<meta property=\"article:modified_time\" content=\"2022-08-03T14:38:36+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/koule-zakladni-pojmy-a-rovnice\\\/\",\"url\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/koule-zakladni-pojmy-a-rovnice\\\/\",\"name\":\"Koule z\u00e1kladn\u00ed pojmy a rovnice | Studijni-svet.cz\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#website\"},\"datePublished\":\"2022-07-18T21:42:31+00:00\",\"dateModified\":\"2022-08-03T14:38:36+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/koule-zakladni-pojmy-a-rovnice\\\/#breadcrumb\"},\"inLanguage\":\"cs\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/koule-zakladni-pojmy-a-rovnice\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/koule-zakladni-pojmy-a-rovnice\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\u016f\",\"item\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Lekce\",\"item\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/lesson\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Matematika k maturit\u011b\",\"item\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/prehled\\\/matematika-k-maturite\\\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Koule z\u00e1kladn\u00ed pojmy a rovnice\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#website\",\"url\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/\",\"name\":\"Akademie Studijni-svet.cz | Kurzy a podklady\",\"description\":\"Online akademie | Kurzy a podklady\",\"publisher\":{\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#organization\"},\"alternateName\":\"Akademie Studijni-svet.cz\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"cs\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#organization\",\"name\":\"Studijni-svet.cz\",\"url\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"cs\",\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/wp-content\\\/uploads\\\/2022\\\/01\\\/SS_logo-1.png\",\"contentUrl\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/wp-content\\\/uploads\\\/2022\\\/01\\\/SS_logo-1.png\",\"width\":66,\"height\":75,\"caption\":\"Studijni-svet.cz\"},\"image\":{\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/studijnisvet\\\/\",\"https:\\\/\\\/www.instagram.com\\\/studijnisvet.cz\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Koule z\u00e1kladn\u00ed pojmy a rovnice | Studijni-svet.cz","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":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/koule-zakladni-pojmy-a-rovnice\/","og_locale":"cs_CZ","og_type":"article","og_title":"Koule z\u00e1kladn\u00ed pojmy a rovnice | Studijni-svet.cz","og_description":"Koule je mno\u017eina v\u0161ech bod\u016f v prostoru, jej\u00edch\u017e vzd\u00e1lenost od bodu S0 je men\u0161\u00ed nebo rovna r Koule vznikne rotac\u00ed kruhu kolem p\u0159\u00edmky, kter\u00e1 obsahuje jeho pr\u016fm\u011br. 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