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Amk > Examen > Flashcards

Examen Flashcards

1
Q

Sin30

A

1/2

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2
Q

Sin45

A

1/2sqrt2

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3
Q

Sin60

A

1/2sqrt3

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4
Q

Cos30

A

1/2sqrt3

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5
Q

Cos45

A

1/2sqrt2

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6
Q

Cos60

A

1/2

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7
Q

Tan30

A

1/3sqrt3

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8
Q

Tan45

A

1

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9
Q

Tan60

A

Sqrt3

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10
Q

Y²=4ax
a>0

A

Liggende dalparabool

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11
Q

Y²=4ax
a<0

A

Liggende bergparabool

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12
Q

X²=4ay
a>0

A

Staande dalparabool

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13
Q

X²=4ay
a<0

A

Staande bergparabool

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14
Q

(X²/a²)+(y²/b²)=1
a>b

A

Liggende ellips

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15
Q

(Y²/a²)+(x²/b²)=1
a>b

A

Staande ellips

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16
Q

(X²/a²)-(y²/b²)=1

A

Liggende hyperbool

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17
Q

(Y²/a²)-(x²/b²)=1

A

Staande hyperbool

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18
Q

Transleer x²=4ay over (d,e)

A

(X-d)²=4a(y-e)

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19
Q

Transleer y²=4ax over (d,e)

A

(Y-e)²=4a(x-d)

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20
Q

Transleer (x²/a²)+(y²/b²)=1 over (d,e)

A

((X-d)²/a²)+((y-e)²/b²)=1

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21
Q

Transleer (y²/a²)-(x²/b²)=1 over (d,e)

A

((Y-e)²/a²)-((x-d²)/b²)=1

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22
Q

Bereken c bij brandpunten van liggende ellips (-c,0) en (c,0)

A

A²=b²+c²

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23
Q

Bereken c bij brandpunten staande hyperbool (0,-c) en (0,c)

A

A²+b²=c²

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24
Q

|a c| =ad-bc
|b d|

A

Determinant

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25
Q

RC m = RC k

A

Evenwijdig

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26
Q

RC m × RC k = -1

A

Loodrecht

27
Q

Opp paralellogram met vector (a,b) en (c,d)

A

Determinant

28
Q

Tan(a+b)

A

(Tana+tanb)/1-(tanatanb)

29
Q

Tan(a-b)

A

(Tana-tanb)/1+(tanatanb)

30
Q

Tan90

A

Bestaat niet

31
Q

Sin(90⁰-a)

A

Cos(a)

32
Q

Cos(90⁰-a)

A

Sin(a)

33
Q

Afstand van punt (p,q) tot lijn ax+by+c=0

A

(|ap+bq+c|)/sqrt(a²+b²)

34
Q

Richtlijn liggende parabool

A

X=-a

35
Q

Richtlijn staande parabool

A

Y=-a

36
Q

Ɛ (excentriciteit) parabool

A

1

37
Q

LR ellips

A

2×(b²/a)

38
Q

Ɛ (excentriciteit) ellips

A

Sqrt(1-(b²/a²))

39
Q

LR hyperbool

A

2×(b²/a)

40
Q

Ɛ(excentriciteit) hyperbool

A

Sqrt(1+(b²/a²)

41
Q

Asymptoot liggende hyperbool

A

Y=+-(b/a)×x

42
Q

Asymptoot staande hyperbool

A

Y=+-(a/b)×x

43
Q

A,5²

A

(A×(A+1))+0,25

44
Q

Korte as ellips=

A

2b

45
Q

Lange as ellips=

A

2a

46
Q

Welk deel is de translatie?
Ax²+Bxy+Cy²+Dx+Ey+F=0

A

Dx+Ey

47
Q

Welk deel is de rotatie?
Ax²+Bxy+Cy²+Dx+Ey+F=0

A

Bxy

48
Q

Van 3 punten naar vergelijking cirkel

A

Algemene vergelijking x²+y²+px+qy+t=0
Punten invullen, stelsel oplossen
Vergelijking herschrijven

49
Q

Ax²+Bxy+Cy²+Dx+Ey+F=0
A=C en B!=0

A

Rotatie over 45°

50
Q

Rotatie bij Ax²+Bxy+Cy²+Dx+Ey+F=0

A

Tan2þ=B/(A-C)

51
Q

Van Tan2þ=B/(A-C) naar þ

A

2tanþ/(1-tan²þ)=B/(A-C)
Kruislings vermenigvuldigen
Splitsen naar (tanþ+a)(tanþ+b)=0

52
Q

Geef sinþ en cosþ vanuit tanþ=a/b

A

Teken driehoek met overstaande=a, aanliggende=b schuine met pythagoras
Sinþ=overstaande/schuine
Cosþ=aanliggende/schuine

53
Q

Herschrijf Ax²+Bxy+Cy²+Dx+Ey+F=0 naar ax²+bx+c=0

A

Ax²+(By+D)x+(Cy²+Ey+F)=0

54
Q

Discriminant

A

b²-4ac

55
Q

Eerste D bij onderzoek is <0

A

Geen oplossingen

56
Q

Abc formule

A

X=(-b+-sqrtD)/2a

57
Q

Eerste D bij onderzoek geeft 1 punt

A

Ontaarde ellips

58
Q

Eerste D bij onderzoek geeft 1 lijn

A

Ontaarde parabool

59
Q

Eerste D bij onderzoek geeft 2 snijdende lijnen

A

Ontaarde hyperbool

60
Q

Eerste D is niet te ontbinden, maar wel antwoorden

A

2de D berekenen

61
Q

2de D <0

A

Ellips

62
Q

2de D = 0

A

Parabool

63
Q

2de D > 0

A

Hyperbool

Amk (1 decks)

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