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GEOMETRIA IN SPATIU

GEOMETRIA IN SPATIU. ~ Axiomele geometriei in spatiu ~ Determinarea planului. Axiomele geometriei in spatiu. A1 ~ Prin 2 puncte distincte trece o singura dreapta .

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GEOMETRIA IN SPATIU

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  1. GEOMETRIA IN SPATIU ~Axiomelegeometriei in spatiu ~Determinareaplanului

  2. Axiomelegeometriei in spatiu • A1 ~ Prin 2 punctedistinctetrece o singuradreapta. • A2 ~ Prin 3 punctenecoliniaretrece un singur plan, 3 punctenecoliniaredetermina un plan. A B dreapta AB A B xx A x C x B x

  3. A3 ~Daca 2 punctedistinctesuntincluseintr-un plan atuncidreaptadeterminata de eleesteinclusa in plan. • A4 ~Daca 2 plane au un punctcomunatunciintersectialoreste o dreapta. A,B Ax B x A B

  4. D x • A5 ~In spatiuexista 4 puncte situate in acelasi plan (necoplanare). A,B,C D C x A x B x A,B,C,D – necoplanare (nesituate in acelasi plan)

  5. Determinareaplanului • 1) 3punctenecoliniaredetermina un plan. • 2) O dreaptasi un punct exterior eidetermina un plan. • 3) 2 drepteconcurentedetermina un plan. C A, B, C - necoliniare C x A x B x d b a a O

  6. 4.) 2 drepteparaleledetermina un plan. a b a b

  7. SFARSIT • Realizator: Oprea Gabriela • Clasa: aVIII-a A • Pofesorcoordonator: Ionescu Claudia

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