paralelnost i okomitost pravca i ravnine
TRANSCRIPT
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Odnos pravca i ravnine:
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Kriterij paralelnosti pravca i ravnine:
Pravac je paralelan s ravninom onda i samo Pravac je paralelan s ravninom onda i samo onda ako je paralelan s nekim pravcem koji leži onda ako je paralelan s nekim pravcem koji leži
u toj ravniniu toj ravnini
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Zadatak 1. str.76
pravac CD je paralelan s ravninama ABB1 i A1B1C1
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Zadatak 1. str.76
Pravac AA1 je paralelan s ravninama BCC1 i CC1D1
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Zadatak 1. str.76
Pravac B1C1 je paralelan s ravninom A1BC
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Zadatak 1. str.76
Pravac BC1 je Pravac BC1 je paralelan s ravninom paralelan s ravninom
ADD1ADD1
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Zadatak 1. str.76
Pravac AC je paralelan s Pravac AC je paralelan s ravninom A1BC1ravninom A1BC1
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Okomitost pravca i ravnine
Pravac p je okomit na ravninu r ako je okomit na svaki pravac koji leži u ravnini i prolazi presječnom točkom T.
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Da bi pravac bio okomit na ravninu, dovoljno je zahtijevati da bude okomit na bar dva pravca te ravnine koji prolaze probodištem T…
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… a nije dovoljno da pravac bude okomit na samo jedan pravac ravnine koji prolazi probodištem
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Relacija okomitosti:
• Ako je pravac okomit na ravninu, onda je svaki pravac paralelan s njim okomit na ravninu
• Dva pravca okomita na ravninu su paralelna• Pravac okomit na ravninu okomit je na svaku ravninu
paralelnu s njom
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Paralelnost je tranzitivna relacija: