Matematické Fórum


1. 8. 2026 (L) Fórum bude brzy uzavřeno 😿

Nejste přihlášen(a). Přihlásit

#1 19. 11. 2022 16:20

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Optika

Zdravím , mohl by někdo vypočítat tuto úlohu , případně ukázat jaký vzorce se používají ?

Na obrázku je zakresleno zobrazeni předmétu pomoci tenké rozptylné čočky. Body
F a F' jsou tzv. ohniska cocky. Vzdálenost ohniska od cocky je tzv. ohnisková
vzdálenost f. Předmět o velikosti 25 cm (y) a vzdáleny 50 cm (a) od čočky zobrazíme
čočkou, jejiž ohnisková vzdálenost f je 20 cm. Jaká bude velikost y´ vytvořeného
obrazu?
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#2 19. 11. 2022 17:02

Al1
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Re: Optika

↑ Spes:
Zdravím,
hledej podobné trojúhelníky.

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#3 19. 11. 2022 18:21 — Editoval Spes (19. 11. 2022 18:23)

Spes
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Re: Optika

↑ Al1:
Děkuju, našel jsem dva pravoúhle trojúhelníky (y mi vyšlo 10 cm) ,je to tak ?

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#4 19. 11. 2022 18:40

Al1
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Re: Optika

↑ Spes:
Já mám jiný výsledek, vyšlo mi a)

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#5 19. 11. 2022 18:41

Spes
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Re: Optika

Jak jste to vypočítal?

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#6 19. 11. 2022 18:42

marnes
Příspěvky: 11227
 

Re: Optika

↑ Spes:
Vzdyt je na to vzorec - zobrazovaci rovnice + vypocet zvetseni


Jo. A na začátku vás zdravím.

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#7 19. 11. 2022 18:43

Al1
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Re: Optika

↑ Spes:
Jeden pravoúhlý trojúhelník má odvěsnu y a odvěsnu 50 + 20 cm, druhý má odvěsnu y' a odvěsnu 20 cm (od čočky do F)

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#8 19. 11. 2022 18:44

Spes
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Re: Optika

Děkuju

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#9 19. 11. 2022 18:55

Al1
Příspěvky: 7797
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Re: Optika

↑ Spes:
Já nejsem fyzik, zkus to přepočítat pomocí zobrazovací rovnice 🙂

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