[{"question":"Dopl\u0148te vetu: Priamka je ............ z\u00e1kladn\u00fd geometrick\u00fd \u00fatvar.","answers":["dvojrozmern\u00fd","nekone\u010dn\u00fd","jednorozmern\u00fd","nadrozmern\u00fd"],"correct":"jednorozmern\u00fd","order":"1"},{"question":"Ktor\u00e9 z uveden\u00fdch pr\u00edpadov predstavuje parametrick\u00e9 vyjadrenie priamky?","answers":["y = kx + q","ax + by + c = 0","y = ax + b","p: x = a1<\/sub> + t*u1<\/sub>, y = a2<\/sub> + t*u2<\/sub>"],"correct":"p: x = a1<\/sub> + t*u1<\/sub>, y = a2<\/sub> + t*u2<\/sub>","order":"2"},{"question":"M\u00e1te dva body A[a1<\/sub>, a2<\/sub>] a B[b1<\/sub>, b2<\/sub>]. Ak\u00fdm sp\u00f4sobom ur\u010d\u00edte smerov\u00fd vektor priamky, ktor\u00e1 vznikla z t\u00fdchto bodov?","answers":["u1<\/sub> = a1<\/sub>*b1<\/sub>, u2<\/sub> = a2<\/sub>*b2<\/sub>","u1<\/sub> = a1<\/sub> - b1<\/sub>, u2<\/sub> = a2<\/sub> - b2<\/sub>","u1<\/sub> = b1<\/sub> - a1<\/sub>, u2<\/sub> = b2<\/sub> - a2<\/sub>","u1<\/sub> = b1<\/sub> + a1<\/sub>, u2<\/sub> = b2<\/sub> + a2<\/sub>"],"correct":"u1<\/sub> = b1<\/sub> - a1<\/sub>, u2<\/sub> = b2<\/sub> - a2<\/sub>","order":"3"},{"question":"Ktor\u00e9 z uveden\u00fdch pr\u00edpadov predstavuje v\u0161eobecn\u00e9 vyjadrenie priamky?","answers":["y = kx + q","ax + by + c = 0","y = ax","p: x = a1<\/sub> + t*u1<\/sub>, y = a2<\/sub> + t*u2<\/sub>"],"correct":"ax + by + c = 0","order":"4"},{"question":"Ktor\u00e9 z uveden\u00fdch pr\u00edpadov predstavuje smernicov\u00fd tvar priamky?","answers":["y = kx + q","ax + by + c = 0","ax + by + cz + d + e = f","p: x = a1<\/sub> + t*u1<\/sub>, y = a2 + t*u2"],"correct":"y = kx + q","order":"5"},{"question":"M\u00e1te norm\u00e1lov\u00fd vektor n(a,b). Ako vypo\u010d\u00edtate smernicu k?","answers":["k = -a\/b","k = a\/b","k = b\/a","k = -b\/a"],"correct":"k = -a\/b","order":"6"},{"question":"M\u00e1te bod B[x1<\/sub>, y1<\/sub>] a priamku vo v\u0161eobecnom tvare ax + by + c = 0. Ako vypo\u010d\u00edtate vzdialenos\u0165 bodu B od priamky?","answers":["V = (a*x1<\/sub> + b*y1<\/sub> + c)\/ (a2<\/sup> + b2<\/sup>)","V = (a*x1<\/sub> + b*y1<\/sub> + c)\/ \u221a(a + b)","V = (a*x1<\/sub> + b*y1<\/sub> + c)\/ \u221a(a2<\/sup> - b2<\/sup>)","V = (a*x1<\/sub> + b*y1<\/sub> + c)\/ \u221a(a2<\/sup> + b2<\/sup>)"],"correct":"V = (a*x1<\/sub> + b*y1<\/sub> + c)\/ \u221a(a2<\/sup> + b2<\/sup>)","order":"7"},{"question":"M\u00e1te dve priamky vyjadren\u00e9 v smernicovom tvare so smernicami k1<\/sub>, k2<\/sub>. Ako vypo\u010d\u00edtate uhol tak\u00fdchto dvoch priamok?","answers":["tg \u03b1 = (k1<\/sub> + k2<\/sub>)\/(1 + k1<\/sub>*k2<\/sub>)","tg \u03b1 = (k1<\/sub> - k2<\/sub>)\/(1 + k1<\/sub>*k2<\/sub>)","tg \u03b1 = (k1<\/sub> - k2<\/sub>)\/(k1<\/sub>*k2<\/sub>)","tg \u03b1 = (k1<\/sub> - k2<\/sub>)\/(1 - k1<\/sub>*k2<\/sub>)"],"correct":"tg \u03b1 = (k1<\/sub> - k2<\/sub>)\/(1 + k1<\/sub>*k2<\/sub>)","order":"8"},{"question":"Ak s\u00fa dve priamky vyjadren\u00e9 vo v\u0161eobecnom tvare vz\u00e1jomn\u00fdm n\u00e1sobkom vo v\u0161etk\u00fdch \u010dlenoch, tak s\u00fa?","answers":["mimobe\u017en\u00e9","rovnobe\u017en\u00e9","toto\u017en\u00e9","r\u00f4znobe\u017en\u00e9"],"correct":"toto\u017en\u00e9","order":"9"},{"question":"Ak s\u00fa dve priamky vyjadren\u00e9 vo v\u0161eobecnom tvare vz\u00e1jomn\u00fdm n\u00e1sobkom dvoch svojich \u010dlenov a v jednom sa l\u00ed\u0161ia (\u010dlen c), tak s\u00fa?","answers":["mimobe\u017en\u00e9","rovnobe\u017en\u00e9","toto\u017en\u00e9","r\u00f4znobe\u017en\u00e9"],"correct":"rovnobe\u017en\u00e9","order":"10"}]