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MULO-A Meetkunde 1928 Algemeen

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Mulo-A Examen 1928 Meetkunde Algemeen

1 2

(1 uur) Opgave 1

.

Van ABC is AB de basis; D is het midden van BC. De zwaartelijn AD wordt in E middendoor gedeeld. De lijn, die B met E verbindt, snijdt, na verlenging, AC in F. Bewijs: AF = 1

3AC en FE = 14 FB. (trek DG // BF).

Opgave 2

.

Van ABC is AB 14 cm, BC 15 cm en AC 13 cm. Men trekt de bissectrice CD en de

zwaartelijn CE. Bereken het oppervlak van DEC.

Opgave 3

.

In ABC snijden de hoogtelijnen AD en BE elkaar onder een hoek van 120o. BC = 7 cm en

AC = 6 cm. Construeer ABC. Nauwkeurig construeren en de wijze van de constructie aangeven.

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