Exam (elaborations)
Wiskunde b oefentoets hoofdstuk 4 werken met formules
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OEFENTOETS HAVO B DEEL 1HOOFDSTUK 4 WERKEN MET FORMULES
OPGAVE 1
De parabool p snijdt de x-as in de punten en
Stel van p de formule op in de vorm in het geval
3p a p de y-as snijdt in het punt
3p b de y-coördinaat van de top van p gelijk is aan
3p c de top van p op de lijn ligt.
OPGAVE 2
Gegeven is de parabool
3p a p gaat door het punt
Bereken algebraïsch de coördinaten van de top van p.
5p b De top van p is
Bereken algebraïsch de coördinaten van de snijpunten van p met de x-as.
5p c De top van p ligt op de lijn
Bereken algebraïsch de coördinaten van de top.
OPGAVE 3
Los algebraïsch op.
2p a
3p b
3p c
3p d
OPGAVE 4 y
In de figuur hiernaast is de parabool
getekend.
Verder zie je de rechthoek PQRS met P en S y = 6 − x2
op de x-as en Q en R op de parabool.
De x-coördinaat van P is p.
Voor de oppervlakte A van rechthoek PQRS R Q
geldt
2p a Toon aan dat de formule juist is.
© NOORDHOFF 2015 OEFENTOETS HAVO B DEEL 1 HOOFDSTUK 4
x
1 S O P
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