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MULO-A Meetkunde 1958 Algemeen

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Opgaven Mulo-A Examen 1958 Meetkunde Algemeen

Opgave 1.

In een cirkel, waarvan de straal 40 is, is AB middellijn. Op de raaklijn in A ligt C zo, dat AC = 60.

CB snijdt de cirkel in E. De loodlijn in C op BC opgericht snijdt het verlengde van BA in D.

Bereken: BC, CE, AD en de oppervlakte van DBC.

Opgave 2.

ABC is scherphoekig. DC en BE zijn hoogtelijnen. Deze snijden elkaar in H. F is het midden van BH.

Bewijs: CDF = A.

Opgave 3.

In parallellogram ABCD is DE de loodlijn uit D op AB neergelaten. AC snijdt DE in S.

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