. "Masarykova univerzita" . . "Zaj\u00EDmav\u00E9 \u00FAlohy z geometrie" . "Modern\u00ED trendy ve vyu\u010Dov\u00E1n\u00ED matematiky a p\u0159\u00EDrodov\u011Bdn\u00FDch p\u0159edm\u011Bt\u016F" . . . . "Ber\u00E1nek, Jaroslav" . "Zaj\u00EDmav\u00E9 \u00FAlohy z geometrie"@cs . "Some interesting problems of geometry"@en . . "P\u0159\u00EDsp\u011Bvek vznikl na z\u00E1klad\u011B v\u00FDzkumu zam\u011B\u0159en\u00E9ho na inovaci forem a metod v\u00FDuky na st\u0159edn\u00ED \u0161kole. P\u0159\u00EDsp\u011Bvek obsahuje soubor \u00FAloh s geometrickou t\u00E9matikou. Tyto \u00FAlohy jsou pro \u0161kolskou matematiku netypick\u00E9 a p\u0159i jejich \u0159e\u0161en\u00ED je t\u0159eba vyu\u017E\u00EDt krom\u011B goniometrick\u00FDch funkc\u00ED a trigonometrie i souvislost\u00ED s dal\u0161\u00EDmi oblastmi matematiky (\u0159e\u0161en\u00ED binomick\u00FDch rovnic, Moivreova v\u011Bta, symetrick\u00E9 polynomy apod.). \u0158e\u0161en\u00ED takov\u00FDch \u00FAloh je prost\u0159edkem k prohlouben\u00ED a roz\u0161\u00ED\u0159en\u00ED matematick\u00FDch znalost\u00ED student\u016F st\u0159edn\u00EDch a vysok\u00FDch \u0161kol a p\u0159isp\u00EDv\u00E1 k z\u00EDsk\u00E1n\u00ED jejich v\u0161eobecn\u00E9ho matematick\u00E9ho p\u0159ehledu."@cs . . . "The article was created as the result of the research oriented at innovation of the content and forms of secondary school mathematics teaching. The article contains a set of problems with geometric topics. These problems are not typical for school mathematics and while their solving it is necessary to use besides goniometric functions and trigonometry also the connections with other branches of mathematics (solving of binomial equations, Moivre s theorem, symmetrical polynomials etc.). Solving of these problems is the way how to deepen and widen the secondary school and university students mathematical knowledge and it contributes to their general mathematical overview."@en . "I" . "Some interesting problems of geometry"@en . "RIV/00216224:14410/13:00072445" . "8"^^ . . "14410" . "Geometry; goniometric functions; binomial equations; solving of the problems"@en . "9788021067240" . . "1"^^ . . "2013-01-01+01:00"^^ . "Zaj\u00EDmav\u00E9 \u00FAlohy z geometrie" . . "P\u0159\u00EDsp\u011Bvek vznikl na z\u00E1klad\u011B v\u00FDzkumu zam\u011B\u0159en\u00E9ho na inovaci forem a metod v\u00FDuky na st\u0159edn\u00ED \u0161kole. P\u0159\u00EDsp\u011Bvek obsahuje soubor \u00FAloh s geometrickou t\u00E9matikou. Tyto \u00FAlohy jsou pro \u0161kolskou matematiku netypick\u00E9 a p\u0159i jejich \u0159e\u0161en\u00ED je t\u0159eba vyu\u017E\u00EDt krom\u011B goniometrick\u00FDch funkc\u00ED a trigonometrie i souvislost\u00ED s dal\u0161\u00EDmi oblastmi matematiky (\u0159e\u0161en\u00ED binomick\u00FDch rovnic, Moivreova v\u011Bta, symetrick\u00E9 polynomy apod.). \u0158e\u0161en\u00ED takov\u00FDch \u00FAloh je prost\u0159edkem k prohlouben\u00ED a roz\u0161\u00ED\u0159en\u00ED matematick\u00FDch znalost\u00ED student\u016F st\u0159edn\u00EDch a vysok\u00FDch \u0161kol a p\u0159isp\u00EDv\u00E1 k z\u00EDsk\u00E1n\u00ED jejich v\u0161eobecn\u00E9ho matematick\u00E9ho p\u0159ehledu." . . "1"^^ . "117782" . . "Zaj\u00EDmav\u00E9 \u00FAlohy z geometrie"@cs . . "Brno" . "Brno" . . "RIV/00216224:14410/13:00072445!RIV14-MSM-14410___" . . "[E416F0CC2D2F]" .