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MULO-B Meetkunde 1948 Rooms-Katholiek (Reserve 2)

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Examen MULO-B Meetkunde RK 1948, reservewerk 2

Opgave 1.

Van driehoek ABC is hoek A40 30 'o . De straal r van de ingeschreven cirkel is 0,7 cm en de straal van de aangeschreven cirkel aan de zijde BC is 12 cm.

Bereken de afstand van de middelpunten van genoemde cirkels, daarna de zijde BC, beide in mm nauwkeurig.

Opgave 2.

Van een gelijkbenige driehoek ABC (ACBC) is gegeven, dat AC3a en AB2a.

I is het middelpunt van de ingeschreven cirkel, H het hoogtepunt, CH snijdt de basis in D, AH snijdt BC in E.

Bereken: BE, HD en HI (wortels kunnen blijven staan).

Opgave 3.

a) Construeer ABC, waarvan AB7, hoek A72o en hoek B45o.

b) Construeer op AC een punt D en op BC een punt E, zò, dat vierhoek ABDE een koordenvierhoek en tevens een raaklijnenvierhoek is.

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