Coordinate Geometry And Lines Flashcards

1
Q

Distance entre 2 points ?

A

Sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

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2
Q

Équation de la pente ?

A

DeltaY / DeltaX

y2 - y1) / (x2 - x1

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3
Q

Équation d’une ligne passant par un point et ayant une pente m

A

y - y1 = m (x - x1)

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4
Q

Équation d’une ligne de pente m et y intercepte b est…

A

y = mx + b

Soit

Ax + By + C = 0

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5
Q

Parallèle si m1 = …

A

m2

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6
Q

Perpendiculaires si…

A

m1m2 = -1

m2 = -1 / m1

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7
Q

Équation d’une élipse ?

A

x^2 y^2
____ + ____ = 1
a^2 b^2

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8
Q

Équation d’une hyperbole ?

A

x^2 y^2
____ - ____ = 1
a^2 b^2

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9
Q

Équation d’une parabole ?

A

x^2 = 4py

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10
Q

x-intercepts qd

A

y=0

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11
Q

y-intercepte qd

A

x = 0

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12
Q

Les trois hauteurs se coupent …

A

Dans l’orthocentre

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13
Q

Les 3 médiatrices se coupent …

A

Au centre du cercle circonscrit

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14
Q

Les 3 médianes se coupent…

A

Au centre de gravité

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15
Q

Foyer elipse ?

A

(+- c , 0)

Ou l’inverse si ellipse ayant roter de 90degre

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16
Q

Foyer parabole ?

A

On le trouve via l’équipe de la parabole en replaçant des valeurs

(p , 0)

17
Q

Sommets elipse ?

A

Sont le a et le b

18
Q

Directrice parabole ?

A

-p

19
Q

Vertices elipse ?

A

( +-a , 0 )

Ou l’ inverse si rot

20
Q

Foyer hyperbole ?

A

( +-c , 0 )

Ou l’inverse si rot : et plus . .

21
Q

C hyperbole = ?

A

a^2 + b^2

22
Q

C elipse ,

A

a^2 - b^2

23
Q

Vertices hyperbole ?

A

( +-a , 0)

Ou l’inverse si rot

24
Q

y hyperbole ? . .

A

+- (b/a) x

25
Q

y hyperbole : ?

A

+- (a/b) x

26
Q

Vertices =

A

Sommet

27
Q

Pente de 4x + 3y -9 =

A
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