Summary
Summary Analitiese Meetkunde Gr11
- Course
- Mathematics
- Institution
- 11th Grade
Graad 11 Analitiese meetkunde opsomming
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Analitiese meetkundeBasiese formules :
Afstand
Ewewydig Loodreg Kollinder
d = (x ,
-
x2) + (y ,
yz)2
-
1
T 2
-
Middelpunt 2
'
mi =
mz m. Xmz = - m ,
= mz = m3
M x,+ xz
=
y +
yz
.
,
2/ 2
Gradient Gradient Inklinasie
Lyn
Positief Skerp
m =
yz y
-
10 en 90l
xz -
x ,
Gradient-punt Stomp
vorm
Negatief 190 en 180
= m(x x, )
y y
- -
,
O 0
Inklinasie hoek
tant = m en OE[o ; 180]
Ongedefini Go
m20 : A= tan'm
mc : A= tan"m + 180
Hoek tussen
zlyne Snypunte
Oz
vergelikings gelyktydig
~
Los die z
op
↑O ,
2 = 02 - 0,
Reguil lyn
+c * afsnit
y
=
mx y-
gradient
Horisontalelyniy-Konstante
·
-Konstante
Vertikalelyn :
·
, Driehoeke
Speciale Lyne
Swaartelyn Lyn getrek vanafn hoekpunt : van na die
die middelpunt van
teenoorgestelde sy
Lyn getrek vanafn
Hoogtelyn teenoorstaande :
hoekpunt van n
loodreg op
die
sy
Middelloodlyn Lyn : wat deur die middelpunt van die
Iynsegment
gaan ,
en
loordeg op
die
Iynsegment .
Hoekpunt Middelpuntloodreg
Swaartelyn
Imediaan)
Hoogtelyn
Middelloodlyn
vanAB ↑
B
Voorbeeld
31 al
Vergeliking
die
van
swaartelyn AM
Alz; 3)
M is middelpunt van BC
M 5
26
·
+
3
= -
;
L >
:. M (1; 4) -
3+ 4
B( 3; 2)
mAM gradient
- -
·
= 2-1
= T
P
M(j z(x 2)
gradient punt
-
y-b
·
=
vorm
-
4)
-
:
3 = 1x 14
y
- -
-
C(5; -6) : = Tx 1)
y
-
b)
Vergeliking van
hoogtelyn AP
Vergeliking van B
AP =
hoogtelyn 6+2
: APL BC
E(x + 3)
mBC
-t
+z=
·
y
-
= -
=
3
5 +3
: mAP = z( 2xz -
= -
1)
·
3 z(x 2)
y
- = -
= 3 2x 4 : = 2x 1
y
-
=
y
- -
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