Dane są dwa okręgi: okrąg o środku w punkcie O i promieniu 5 oraz okrągo środku w punkcie P i promieniu 3. Odcinek OP ma długość 16. Prosta AB jest styczna do tych okręgów w punktach A i B. Ponadto prosta AB przecina odcinek OP w punkcie K (zobacz rysunek). style="width: 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" data-filename="maj19 15.png">

Zadanie 1907

Ekspresowy Kurs Maturalny z matematyki

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Dane  są  dwa  okręgi:  okrąg  o  środku  w  punkcie  O i  promieniu  5  oraz  okrągo środku w punkcie P i promieniu 3. Odcinek OP ma długość 16. Prosta AB jest styczna do tych okręgów w punktach A i B. Ponadto prosta AB przecina odcinek OP w punkcie K (zobacz rysunek).


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