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Dany jest okrąg o środku w punkcie S i promieniu r. Na przedłużeniu cięciwy AB poza punkt B odłożono odcinek BC równy promieniowi danego okręgu. Przez punkty C i S poprowadzono prostą. Prosta CS przecina dany okrąg w punktach D i E (zobacz rysunek). Wykaż, że jeżeli miara kąta ACS jest równa alpha, to miara kąta ASD jest równa 3 alpha.. style="width: 50%;""data:image/png;base64,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" data-filename="maj 19 29.png">

Zadanie 1920

Pakiet matura 2020 Kurs i poradniki 50% taniej

Nie przegap okazji! Testuj kurs przez 14 dni bez żadnego ryzyka. Dowiedz się więcej
Drukuj

Dany jest okrąg o środku w punkcie S i promieniu r. Na przedłużeniu cięciwy AB poza punkt B odłożono odcinek BC równy promieniowi danego okręgu. Przez punkty C i S poprowadzono prostą. Prosta CS przecina dany okrąg w punktach D i E (zobacz rysunek). Wykaż, że jeżeli miara kąta ACS jest równa \alpha, to miara kąta ASD jest równa 3\alpha..


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