{"id":3316,"date":"2022-07-05T17:57:20","date_gmt":"2022-07-05T15:57:20","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/parametricke-vyjadreni-primky\/"},"modified":"2022-07-05T18:11:00","modified_gmt":"2022-07-05T16:11:00","slug":"parametricke-vyjadreni-primky-2","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/parametricke-vyjadreni-primky-2\/","title":{"rendered":"Parametrick\u00e9 vyj\u00e1d\u0159en\u00ed p\u0159\u00edmky"},"content":{"rendered":"<p><strong>V prostoru neexistuje obecn\u00e1 rovnice p\u0159\u00edmky<\/strong>, proto si uk\u00e1\u017eeme <strong>jak se sestavuje PARAMETRICK\u00c1 ROVNICE P\u0158\u00cdMKY<\/strong>.<\/p>\n<p>K sestaven\u00ed parametrick\u00e9 rovnice p\u0159\u00edmky pot\u0159ebujeme zn\u00e1t jej\u00ed <strong>sm\u011brov\u00fd vektor<\/strong>. Ten sestav\u00edme n\u00e1sleduj\u00edc\u00edm zp\u016fsobem:<\/p>\n<ul>\n<li>pokud je p\u0159\u00edmka d\u00e1na dv\u011bma body <strong>A<\/strong> a <strong>B<\/strong>, pak je jej\u00ed sm\u011brov\u00fd vektor roven: <strong><em>u=B-A<\/em><\/strong><\/li>\n<li>v praxi to znamen\u00e1, \u017ee od sebe ode\u010dteme jednotliv\u00e9 sou\u0159adnice bodu A a bodu B a z\u00edsk\u00e1me sou\u0159adnice sm\u011brov\u00e9ho vektoru<\/li>\n<\/ul>\n<p style=\"text-align: left\">Jakmile zn\u00e1me sou\u0159adnice sm\u011brov\u00e9ho vektoru p\u0159\u00edmky, m\u016f\u017eeme dosadit do parametrick\u00e9 rovnice p\u0159\u00edmky, kter\u00e1 vypad\u00e1 takto:<\/p>\n<p style=\"text-align: center\"><strong><em>$$X = A + tu$$<\/em><\/strong><\/p>\n<p style=\"text-align: center\">pro rovnici plat\u00ed, \u017ee<strong><em> t\u2208R<\/em><\/strong> a <em><strong>u\u22600<\/strong><\/em><\/p>\n<p style=\"text-align: center\"><em><strong>t<\/strong><\/em> se naz\u00fdv\u00e1 parametr (odtud n\u00e1zev rovnice)<\/p>\n","protected":false},"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-3316","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>Parametrick\u00e9 vyj\u00e1d\u0159en\u00ed p\u0159\u00edmky | 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\/parametricke-vyjadreni-primky-2\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Parametrick\u00e9 vyj\u00e1d\u0159en\u00ed p\u0159\u00edmky | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"V prostoru neexistuje obecn\u00e1 rovnice p\u0159\u00edmky, proto si uk\u00e1\u017eeme jak se sestavuje PARAMETRICK\u00c1 ROVNICE P\u0158\u00cdMKY. K sestaven\u00ed parametrick\u00e9 rovnice p\u0159\u00edmky pot\u0159ebujeme zn\u00e1t jej\u00ed sm\u011brov\u00fd vektor. Ten sestav\u00edme n\u00e1sleduj\u00edc\u00edm zp\u016fsobem: pokud je p\u0159\u00edmka d\u00e1na dv\u011bma body A a B, pak je jej\u00ed sm\u011brov\u00fd vektor roven: u=B-A v praxi to znamen\u00e1, \u017ee od sebe ode\u010dteme jednotliv\u00e9 sou\u0159adnice ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/parametricke-vyjadreni-primky-2\/\" \/>\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=\"2022-07-05T16:11:00+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Odhadovan\u00e1 doba \u010dten\u00ed\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minuta\" \/>\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\\\/parametricke-vyjadreni-primky-2\\\/\",\"url\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/parametricke-vyjadreni-primky-2\\\/\",\"name\":\"Parametrick\u00e9 vyj\u00e1d\u0159en\u00ed p\u0159\u00edmky | Studijni-svet.cz\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#website\"},\"datePublished\":\"2022-07-05T15:57:20+00:00\",\"dateModified\":\"2022-07-05T16:11:00+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/parametricke-vyjadreni-primky-2\\\/#breadcrumb\"},\"inLanguage\":\"cs\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/parametricke-vyjadreni-primky-2\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/parametricke-vyjadreni-primky-2\\\/#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\":\"Parametrick\u00e9 vyj\u00e1d\u0159en\u00ed p\u0159\u00edmky\"}]},{\"@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":"Parametrick\u00e9 vyj\u00e1d\u0159en\u00ed p\u0159\u00edmky | 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\/parametricke-vyjadreni-primky-2\/","og_locale":"cs_CZ","og_type":"article","og_title":"Parametrick\u00e9 vyj\u00e1d\u0159en\u00ed p\u0159\u00edmky | Studijni-svet.cz","og_description":"V prostoru neexistuje obecn\u00e1 rovnice p\u0159\u00edmky, proto si uk\u00e1\u017eeme jak se sestavuje PARAMETRICK\u00c1 ROVNICE P\u0158\u00cdMKY. K sestaven\u00ed parametrick\u00e9 rovnice p\u0159\u00edmky pot\u0159ebujeme zn\u00e1t jej\u00ed sm\u011brov\u00fd vektor. Ten sestav\u00edme n\u00e1sleduj\u00edc\u00edm zp\u016fsobem: pokud je p\u0159\u00edmka d\u00e1na dv\u011bma body A a B, pak je jej\u00ed sm\u011brov\u00fd vektor roven: u=B-A v praxi to znamen\u00e1, \u017ee od sebe ode\u010dteme jednotliv\u00e9 sou\u0159adnice ... 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