Separarea punctelor

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Beniamin Bogosel
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Separarea punctelor

Post by Beniamin Bogosel »

Se considera doua multimi de puncte in plan \( A \) si \( B \) cu \( |A|=2n,\ |B|=2m, m,n \in \mathbb{N}^* \) astfel incat oricare trei puncte din reuniunea lor sunt necoliniare. Demonstrati ca exista o dreapta care lasa jumatate din elementele fiecarei multimi de o parte a ei.
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