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  1. Zapiši enačbo hiperbole, če sta njeni asimptoti premici in ima eno od temen
    v točki . Hiperbolo tudi nariši ter zapiši koordinate gorišč.

Ask by Barrett Pierce. in Slovenia
Mar 13,2025

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The equation of the hyperbola is . The hyperbola has vertices at and , and its foci are at and .

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Bonus Knowledge

Enačba hiperbole, katere asimptoti so premici in ima eno od temen v točki , je dane v obliki . Ker so asimptoti v obliki , v našem primeru , lahko rečemo, da je . Ker je eno od temen pri , je , torej . Tako dobimo enačbo hiperbole: .
Koordinate gorišč sta in , saj je hiperbola simetrična glede na os y. Narišite hiperbolo, ki se razteza proti obema osma, in uporabite asimptote kot vodilo za pravilno obliko. To bo ustvarilo zabavno grafično predstavitev vaše hiperbole!

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