Fórum: Érdekes matekfeladatok
Játékszabályok Technikai információ TeX tanfolyam Elfelejtettem a jelszavam Témák
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| [1056] Csimby | 2005-09-05 20:53:00 |
 196. feladat: Állítsuk elő két négyzetgyök összegeként:
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| [1054] CsG | 2005-09-04 12:33:54 |
 195.feladat:
Adott egy körben két egyenlő hosszú húr, ezeknek egyik végpontja közös. Milyen feltételnek kell teljesülnie a húrok által bezárt szögre ha a körben egynél több olyan húr létezik, amelyet az adott húrok három egyenlő részre osztanak?
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| [1053] lorantfy | 2005-09-04 11:53:17 |
 A B. 3719. kitűzött feladatnak is ez volt a lényege. 2004. márciusában volt.
Három pontnál: Ha mindhárom pont egybeesik akkor egy félgömbön vannak. Ha A és B pontok nem esnek egybe, akkor tekintsük az O ( gömb középpontú) A-t és B-t is tartalmazó főkört. C pont eshet a főkörre, az egyik félgömbre vagy a másik félgömbre, a három pont mindenképpen egy zárt félgömbön van.
A kitűzött példában 5 pontról volt szó. Az A és B ponton kívül még 3 pontot kell elhelyezni a gömb felszinén. Az egybeeső esetektől eltekintve a 3-ból 2-nek azonos félgömbön kell lennie, így 4 pont mindig azonos zárt félgömbre esik.
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| Előzmény: [1051] Peti123, 2005-09-03 21:18:43 |
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| [1051] Peti123 | 2005-09-03 21:18:43 |
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194. feladat:
Egy gömb felületén véletlenszerűen kiválasztunk három pontot. Mennyi a valószínűsége, hogy a választott pontok ugyanazon a félgömbön helyezkednek el?
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| [1049] rizsesz | 2005-09-01 19:00:09 |
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http://www.komal.hu/verseny/1999-10/B.h.shtml , itt a B. 3304. sorszám alatt található a feladat az 1, 2... 12 esetben.
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| [1048] lorantfy | 2005-09-01 16:19:22 |
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Szia Viktor!
Ez a megoldás! De az utolsó mondatod megfogalmazása kicsit szerencsétlen :-)!
Igy ha az élekre írt egymás után következő 12 természetes szám összegének kétszeresét 8 egyenlő részre osztjuk, akkor nem kaphatunk egész számot.
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| Előzmény: [1045] xviktor, 2005-09-01 15:50:07 |
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| [1047] xviktor | 2005-09-01 16:15:30 |
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Bocsesz. Csak a feladatot neztem, Sirpi megoldasat nem :S
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Játékszabályok Technikai információ TeX tanfolyam Elfelejtettem a jelszavam Témák
