O jednom zadatku s državne mature-problem optimizacije površine trokuta
نویسندگان
چکیده
U članku se najprije izlažu dva različita načina rješavanja (primjenom diferencijalnoga računa i bez nje) poopćenja zadatka postavljenoga na višoj razini matematike državnoj maturi u kolovozu 2022.: Pravac prolazi točkom T = (xT> 0; yT> 0) s pozitivnim dijelovima koordinatnih osi određuje trokut optimalne površine. Kolika je mjera kuta kojega taj pravac zatvara ordinata? Opisuje konstrukcija pravca iz zadatka. Potom analizira postojanje površine slučaju slabijega zahtjeva da siječe obje koordinatne osi. Zaključno navode komentiraju neke varijante kojima točka nalazi nekom od preostalih triju kvadranata pravokutnoga koordinatnoga sustava ravnini.
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ژورنال
عنوان ژورنال: Acta mathematica Spalatensia
سال: 2022
ISSN: ['2787-4877', '2757-1688']
DOI: https://doi.org/10.32817/amssd.5.1