Općinsko natjecanje 2013 SŠ2 7
Dodao/la:
arhiva12. srpnja 2013. Neka je
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paralelogram i neka je
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sjecište njegovih dijagonala. Simetrala kuta
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raspolavlja dužinu

i siječe pravac

u točki
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. Odredi omjere
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i
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.
%V0
Neka je $ABCD$ paralelogram i neka je $S$ sjecište njegovih dijagonala. Simetrala kuta $\sphericalangle ADC$ raspolavlja dužinu $\overline{AS}$ i siječe pravac $BC$ u točki $E$. Odredi omjere $|BE|:|BC|$ i $|AB|:|BC|$.
Izvor: Općinsko natjecanje iz matematike 2013