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MULO-B Meetkunde 1963 Rooms-Katholiek (Reserve 2)

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Opgaven Meetkunde MULO-B RK 1963 reserve 2

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Opgave 1.

In vierhoek ABCD is AB//DC. AC = 10.

CD = 4.

B = 31 20 'o .

De oppervlakte van ADC is 16.

ME is de loodlijn, die uit het midden M van AB op BC is neergelaten. Bereken: 1. AD (in 1 dec. nauwkeurig)

2. AB (in 2 dec. nauwkeurig) 3. ME (in 1 dec. nauwkeurig)

Opgave 2.

Punt P ligt buiten cirkel M. PA en PB zijn raaklijnen.

PCD is een willekeurige snijlijn. AB snijdt PM in E en PD in S.

Een loodlijn uit M op PD snijdt PD in F. Bewijs: PS  PF = PE  PM = PB2.

Opgave 3.

Vierhoek ABCD is zowel raaklijnen- als koordenvierhoek. Gegeven zijn: de straal r van de ingeschreven cirkel.

A = P en de zijde AD = p. Construeer vierhoek ABCD.

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