de antwoorden voor vaardigheden 3 moderne wiskunde b 4vwo. je hebt de vaardigheden getraind en er even voor gezwoegd, nu wil je natuurlijk weten hoe je gescoord hebt voor deze oefentoets. de antwoorden geven je een goed beeld hoe je ervoor staat en je kunt hierdoor van je fouten leren en het op de ...
MODERNE WISKUNDE 11E EDITIE 4 VWO B VAARDIGHEDEN 3 PROEFWERK 1
Vaardigheden 3 Proefwerk 1
Uitwerkingen en normering
1a 13 5 87 52 25 174 97 1
2 53 1 14 8 10
7
4 17
20
5 4 10 20 20
b 4p 3p 1 1 3p 2 2
2
8p 9p 2 3p 6p
c 3 3 6 3ab 3b(a b) 6a(a b) 3ab 3ab 3b 2 6a 2 6ab 6a 2 3b 2 2
ab a b ab(a b) ab(a b) ab(a b)
d 2 23 8 2 16 2
32 3
1
7 21
e 2
5 1 25 26 2
a
2 a2
2
2 2
4a 5 2a 2a 2a
f b 2b ac 2b 2 ac 2b 3 3a 2c 2 2
a 3c b 3ac b 3abc
2a 8a 128a 2 2a 8 2a 6 2a 1
b 2
a 169a3 16a5 13a 2 a 4a 2 a 17a 2 a
c
2 2
2
8 6 32 3 (4 2 24 2) 2 3 400 2 3 800 3
d 4 2
3 3 16 27 6
3 8 9 8
3a 2 x 5 5 x 2 x 1 en dit geeft y 3. Het snijpunt is (1, 3). 2
b Richtingscoëfficient k richtingscoëfficient m, dus vergelijking k: y 5 x p. 2
Door P (5, 5), dus p 20. Antwoord: k : y 5 x 20
c 1 1 2
Lijn loodrecht op l: y 2 x q . Door P (5, 5), dus q 2 2
1 1
Snijpunt met l: 2 x 5 2 x 2 2 x 3 dus snijpunt (3, 1).
Afstand: (5 3) 2 (5 1) 2 20 2 5
d Richtingshoek l: tan 1 (2) 63,43 en richtingshoek m: tan 1 (5) 78,69 2
Hoek l en m: circa 180 63,43 78,69 38
4 Δy 4 3 2
a Richtingscoëfficiënt l: 1, l door P (1, 2), dus l : y x 1
Δx 2 1
b Er geldt (van P naar Q): g 3 1 4 2, dus g 2, want 2 voldoet niet. 2
Met (1, 2) : 2 b 2, dus b 2.
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