Županijsko natjecanje 2013 SŠ2 4
Dodao/la:
arhiva12. srpnja 2013. Dužina
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je dulja stranica pravokutnika
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. Okomica iz vrha
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na dijagonalu

siječe pravac
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u točki
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, a kružnica sa središtem
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koja prolazi kroz točku
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siječe
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u točki
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. Dokaži da su pravci
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i

međusobno okomiti.
%V0
Dužina $\overline{AB}$ je dulja stranica pravokutnika $ABCD$. Okomica iz vrha $B$ na dijagonalu $\overline{AC}$ siječe pravac $AD$ u točki $E$, a kružnica sa središtem $A$ koja prolazi kroz točku $B$ siječe $\overline{CD}$ u točki $F$. Dokaži da su pravci $AF$ i $EF$ međusobno okomiti.
Izvor: Županijsko natjecanje iz matematike 2013