{"id":3675,"date":"2022-07-12T17:26:45","date_gmt":"2022-07-12T15:26:45","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/parametricke-vyjadreni-roviny\/"},"modified":"2022-07-12T17:46:54","modified_gmt":"2022-07-12T15:46:54","slug":"parametricke-vyjadreni-roviny","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/parametricke-vyjadreni-roviny\/","title":{"rendered":"Parametrick\u00e9 vyj\u00e1d\u0159en\u00ed roviny"},"content":{"rendered":"

Proto\u017ee ji\u017e v\u00edme, jak vypad\u00e1 parametrick\u00e9 vyj\u00e1d\u0159en\u00ed p\u0159\u00edmky, nen\u00ed nijak slo\u017eit\u00e9 sestrojit parametrick\u00e9 vyj\u00e1d\u0159en\u00ed roviny.<\/p>\n

Rovina je d\u00e1na bu\u010f:<\/p>\n

    \n
  1. t\u0159emi body, kter\u00e9 nele\u017e\u00ed na jedn\u00e9 p\u0159\u00edmce<\/li>\n
  2. dv\u011bma r\u016fzn\u00fdmi p\u0159\u00edmka, kter\u00e9 nesm\u00ed b\u00fdt mimob\u011b\u017en\u00e9<\/li>\n
  3. bodem a dv\u011bma vektory, z nich\u017e jeden vektor nesm\u00ed b\u00fdt re\u00e1ln\u00fdm n\u00e1sobkem toho druh\u00e9ho<\/li>\n<\/ol>\n

    Parametrick\u00e9 vyj\u00e1d\u0159en\u00ed\/ parametrick\u00e1 p\u0159\u00edmka roviny ABC vypad\u00e1 n\u00e1sledovn\u011b:<\/p>\n

    X = A + su + tv, <\/em><\/strong><\/p>\n

    kde s, t \u2208\u00a0 R, u \u2260 o, v \u2260 o, a u \u2260 kv<\/em><\/strong><\/p>\n

    \u00a0B = A + u<\/strong><\/em><\/p>\n

    C = A + v<\/strong><\/em>.<\/p>\n

    nezn\u00e1m\u00fdm s<\/strong><\/em> a t<\/em> <\/strong>\u0159\u00edk\u00e1me parametry<\/strong><\/p>\n","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-3675","lesson","type-lesson","status-publish","hentry"],"yoast_head":"\nParametrick\u00e9 vyj\u00e1d\u0159en\u00ed roviny | 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-roviny\/\" \/>\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 roviny | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Proto\u017ee ji\u017e v\u00edme, jak vypad\u00e1 parametrick\u00e9 vyj\u00e1d\u0159en\u00ed p\u0159\u00edmky, nen\u00ed nijak slo\u017eit\u00e9 sestrojit parametrick\u00e9 vyj\u00e1d\u0159en\u00ed roviny. Rovina je d\u00e1na bu\u010f: t\u0159emi body, kter\u00e9 nele\u017e\u00ed na jedn\u00e9 p\u0159\u00edmce dv\u011bma r\u016fzn\u00fdmi p\u0159\u00edmka, kter\u00e9 nesm\u00ed b\u00fdt mimob\u011b\u017en\u00e9 bodem a dv\u011bma vektory, z nich\u017e jeden vektor nesm\u00ed b\u00fdt re\u00e1ln\u00fdm n\u00e1sobkem toho druh\u00e9ho Parametrick\u00e9 vyj\u00e1d\u0159en\u00ed\/ parametrick\u00e1 p\u0159\u00edmka roviny ABC vypad\u00e1 n\u00e1sledovn\u011b: ... 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