[{"question":"Rota\u010dn\u00e9 teleso, ktor\u00e9 vzniklo rot\u00e1ciou kruhu okolo priamky prech\u00e1dzaj\u00facej jeho stredom, vol\u00e1me","answers":["valec","gu\u013ea","gu\u013eov\u00fd odsek","rota\u010dn\u00fd ku\u017ee\u013e"],"correct":"gu\u013ea","order":"1"},{"question":"Rota\u010dn\u00e9 teleso, ktor\u00e9 vzniklo ot\u00e1\u010dan\u00edm kruhov\u00e9ho odseku okolo jeho osi s\u00famernosti, vol\u00e1me","answers":["valec","gu\u013ea","gu\u013eov\u00fd odsek","rota\u010dn\u00fd ku\u017ee\u013e"],"correct":"gu\u013eov\u00fd odsek","order":"2"},{"question":"Gu\u013eov\u00e1 plocha je","answers":["hranica gule","hranica gu\u013eov\u00e9ho odseku","podstava gu\u013eov\u00e9ho odseku","je rovn\u00e1 obsahu medzikru\u017eia"],"correct":"hranica gule","order":"3"},{"question":"Podstava gu\u013eov\u00e9ho odseku","answers":["je prienik gule s polpriestorom, ktor\u00e9ho hrani\u010dn\u00e1 rovina obsahuje kruhov\u00fd rez gule","inak naz\u00fdvame gu\u013eov\u00fd vrchl\u00edk","je stred gule","je kruh, ktor\u00fd je prienikom gu\u013eov\u00e9ho odseku s hrani\u010dnou rovinou polpriestoru, ktor\u00fd ho ur\u010duje"],"correct":"je kruh, ktor\u00fd je prienikom gu\u013eov\u00e9ho odseku s hrani\u010dnou rovinou polpriestoru, ktor\u00fd ho ur\u010duje","order":"4"},{"question":"(Cavellieriho princ\u00edp): Ak pre 2 teles\u00e1 existuje tak\u00e1 rovina, \u017ee ka\u017ed\u00e1 s \u0148ou rovnobe\u017en\u00e1 rovina pret\u00edna obidve teles\u00e1 v rovinn\u00fdch \u00fatvaroch s rovnak\u00fdm obsahom (S1 = S2), tak:","answers":["V1 = V2","S1 = V2","V1 = S2","V1 = 1\/2V2"],"correct":"V1 = V2","order":"5"},{"question":"Pre mieru hranice gule plat\u00ed vz\u0165ah:","answers":["4\/3\u03c0r.r.r","4\u03c0r.r","4\u03c0r","2\u03c0rv"],"correct":"4\u03c0r.r","order":"6"},{"question":"Objem gule vypo\u010d\u00edtame","answers":["4\/3\u03c0r.r.r","4\u03c0r.r","4\/3\u03c0r.r","1\/6(\u03c0v)(3r + v.v)"],"correct":"4\/3\u03c0r.r.r","order":"7"},{"question":"V = (\u03c0v(3\u03c1\u00b2 + v\u00b2))\/6 je vzorec pre v\u00fdpo\u010det","answers":["obsahu polgule","povrch gu\u013eov\u00e9ho odseku","povrch gule","objem gu\u013eov\u00e9ho odseku"],"correct":"objem gu\u013eov\u00e9ho odseku","order":"8"},{"question":"S = 2\u03c0rv je vzorec pre v\u00fdpo\u010det","answers":["obsahu polgule","povrchu gu\u013eov\u00e9ho odseku","povrch gule","objem gu\u013eov\u00e9ho odseku"],"correct":"povrchu gu\u013eov\u00e9ho odseku","order":"9"},{"question":"Ak polomer pologule je 3 cm, pre jej objem plat\u00ed:","answers":["1\/3 . 3,14 . 9","4\/3 . 3,14 . 9","2\/3 . 3,14 . 27","2\/3 . 3,14 . 9"],"correct":"2\/3 . 3,14 . 27","order":"10"}]