{"id":490,"date":"2018-08-07T20:01:24","date_gmt":"2018-08-07T19:01:24","guid":{"rendered":"https:\/\/katedry.pf.jcu.cz\/kma\/?page_id=490"},"modified":"2020-09-24T10:02:51","modified_gmt":"2020-09-24T09:02:51","slug":"metody-reseni-geometrickych-uloh","status":"publish","type":"page","link":"https:\/\/katedry.pf.jcu.cz\/kma\/pro-studenty\/materialy-pro-studenty\/metody-reseni-geometrickych-uloh\/","title":{"rendered":"Metody \u0159e\u0161en\u00ed geometrick\u00fdch \u00faloh"},"content":{"rendered":"

\u00davodn\u00ed slovo<\/span><\/h3>\n

Str\u00e1nky jsou ur\u010deny student\u016fm st\u0159edn\u00edch \u0161kol, u\u010ditel\u016fm matematiky i jin\u00fdm z\u00e1jemc\u016fm, kte\u0159\u00ed se cht\u011bj\u00ed podrobn\u011bji sezn\u00e1mit s element\u00e1rn\u00ed geometri\u00ed a zdokonalit sv\u00e9 geometrick\u00e9 my\u0161len\u00ed.
\nJsou zam\u011b\u0159eny zejm\u00e9na na \u0159e\u0161en\u00ed konstruk\u010dn\u00edch, v\u00fdpo\u010dtov\u00fdch a d\u016fkazov\u00fdch \u00faloh v rovin\u011b.<\/p>\n

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Metody \u0159e\u0161en\u00ed planimetrick\u00fdch \u00faloh<\/span><\/h3>\n

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Z\u00e1kladn\u00ed text<\/a>\u00a0je sestaven\u00fd tak, aby jej mohli studovat i za\u010d\u00e1te\u010dn\u00edci.
\nPrvn\u00ed dv\u011b kapitoly se zab\u00fdvaj\u00ed metodami \u0159e\u0161en\u00ed konstruk\u010dn\u00edch \u00faloh.
\nKapitola 3 v\u00e1s sezn\u00e1m\u00ed s aplikacemi poznatk\u016f z kapitol 1 a 2. Najdete zde n\u011bkter\u00e9 metody hled\u00e1n\u00ed maxim\u00e1ln\u00edch a minim\u00e1ln\u00edch hodnot, zobrazov\u00e1n\u00ed rovinn\u00fdmi zrcadly, probl\u00e9my je\u017e souvis\u00ed s pohyby koul\u00ed v kule\u010dn\u00edku a postupy sestrojov\u00e1n\u00ed minim\u00e1ln\u00edch s\u00edt\u00ed.
\nV\u00a0t\u00e9to p\u0159\u00edloze<\/a>\u00a0naleznete interaktivn\u00ed soubory k textu Metody \u0159e\u0161en\u00ed planimetrick\u00fdch \u00faloh.
\nSoubory jsou vytvo\u0159eny programem Cabri geometrie II+.<\/p>\n

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Geometrick\u00e1 zobrazen\u00ed v \u00faloh\u00e1ch<\/span><\/h3>\n

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Sb\u00edrka \u00faloh<\/a>\u00a0pro m\u00edrn\u011b pokro\u010dil\u00e9. Obsahuje i \u00falohy z analytick\u00e9 geometrie.<\/p>\n

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\u00dahly v kru\u017enici<\/span><\/h3>\n

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Zde se m\u016f\u017eete sezn\u00e1mit s vlastnostmi \u00fahl\u016f v kru\u017enici prost\u0159ednictv\u00edm \u010dl\u00e1nk\u016f napsan\u00fdch pro \u010dasopis Matematika \u2013 fyzika \u2013 informatika:
\n1) \u010cl\u00e1nek, kter\u00fd v\u00e1s sezn\u00e1m\u00ed s v\u011btou o obvodov\u00fdch \u00fahlech a r\u016fzn\u00fdmi zp\u016fsoby jej\u00edho odvozen\u00ed najdete na stran\u011b 75 v\u00a02. \u010d\u00edsle 21. ro\u010dn\u00edku<\/a>.
\n2) S v\u011btou o \u00fahlu t\u011btiv (resp. s jej\u00edm zobecn\u011bn\u00edm, v\u011btou o \u00fahlu se\u010den) kru\u017enice se m\u016f\u017eete sezn\u00e1mit kliknut\u00edm\u00a0zde<\/a>. V\u011bta v sob\u011b obsahuje v\u011btu o obvodov\u00fdch \u00fahlech, m\u00e1 v\u0161ak \u0161ir\u0161\u00ed uplatn\u011bn\u00ed a lze ji jednodu\u0161e odvodit.
\n3)\u00a0Tento \u010dl\u00e1nek<\/a>\u00a0v\u00e1s sezn\u00e1m\u00ed s metodami \u0159e\u0161en\u00ed \u00faloh pomoc\u00ed v\u011bty o \u00fahlu se\u010den. \u00a0V \u010dl\u00e1nc\u00edch jsou odkazy na soubor pom\u016fcek vytvo\u0159en\u00fdch v Cabri II+, kter\u00fd najdete (v\u010detn\u011b metodick\u00e9ho pr\u016fvodce)\u00a0zde<\/a>.<\/p>\n

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Dopl\u0148ky<\/span><\/h3>\n

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Sp\u0159\u00edzn\u011bn\u00e9 troj\u00faheln\u00edky<\/a>\u00a0(\u010dl\u00e1nek ze sborn\u00edku 32. konference o geometrii a po\u010d\u00edta\u010dov\u00e9 grafice)
\nO n\u011bkter\u00fdch nedostatc\u00edch v\u00fduky \u0161kolsk\u00e9 geometrie<\/a>\u00a0(\u010dl\u00e1nek ze sborn\u00edku konference Setk\u00e1n\u00ed u\u010ditel\u016f matematiky v\u0161ech typ\u016f a stup\u0148\u016f \u0161kol, Srn\u00ed na \u0160umav\u011b, 8.-10. listopadu 2012)
\nApolloniovy \u00falohy<\/a>\u00a0(bakal\u00e1\u0159sk\u00e1 pr\u00e1ce Miroslavy Lutzov\u00e9)
\nGeometrick\u00e9 konstrukce \u0159e\u0161en\u00e9 s vyu\u017eit\u00edm algebraick\u00e9ho v\u00fdpo\u010dtu<\/a>\u00a0(bakal\u00e1\u0159sk\u00e1 pr\u00e1ce Jany Zobalov\u00e9)
\nElement\u00e1rn\u00ed metody \u0159e\u0161en\u00ed extrem\u00e1ln\u00edch \u00faloh<\/a>\u00a0(diplomov\u00e1 pr\u00e1ce Evy \u0158ezn\u00ed\u010dkov\u00e9)<\/p>\n

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Pod\u011bkov\u00e1n\u00ed<\/span><\/h3>\n

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Tyto str\u00e1nky vznikly za podpory projektu FRV\u0160-494\/2012.
\nV \u010cesk\u00fdch Bud\u011bjovic\u00edch, dne 21.11.2012, Pavel Leischner.<\/p>\n","protected":false},"excerpt":{"rendered":"

\u00davodn\u00ed slovo Str\u00e1nky jsou ur\u010deny student\u016fm st\u0159edn\u00edch \u0161kol, u\u010ditel\u016fm matematiky i jin\u00fdm z\u00e1jemc\u016fm, kte\u0159\u00ed se cht\u011bj\u00ed podrobn\u011bji sezn\u00e1mit s element\u00e1rn\u00ed…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":474,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-490","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/katedry.pf.jcu.cz\/kma\/wp-json\/wp\/v2\/pages\/490","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/katedry.pf.jcu.cz\/kma\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/katedry.pf.jcu.cz\/kma\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/katedry.pf.jcu.cz\/kma\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/katedry.pf.jcu.cz\/kma\/wp-json\/wp\/v2\/comments?post=490"}],"version-history":[{"count":0,"href":"https:\/\/katedry.pf.jcu.cz\/kma\/wp-json\/wp\/v2\/pages\/490\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/katedry.pf.jcu.cz\/kma\/wp-json\/wp\/v2\/pages\/474"}],"wp:attachment":[{"href":"https:\/\/katedry.pf.jcu.cz\/kma\/wp-json\/wp\/v2\/media?parent=490"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}