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Samenvatting Hoofdstuk 12 - De cirkel - Delta Nova 4 $3.76
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Samenvatting Hoofdstuk 12 - De cirkel - Delta Nova 4

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In deze geschreven samenvatting over hoofdstuk 12 van Delta Nova 4 wordt de cirkel grondig besproken. Begrippen zoals middellijn, koorde, apothema, ingeschreven cirkel, omgeschreven cirkel, middelpuntshoek, omtrekshoek, raaklijn... worden voor jou na deze samenvatting allemaal duidelijk!

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  • January 15, 2025
  • 4
  • 2023/2024
  • Summary
  • Secondary school
  • 2e graad
  • 4
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Hoofdstuk 12 : De circel

12
.1 :

Middellijn,Koorde en
apothema
A
*C(M , ) geterend
* Koorde [AB] H
*
middellijn [D] met ICDI-diameter ·
B

* apothema = IMH ·
D

Straal
* =
IMEI &
-

Kleine
Linkelboog BD M
*
- Co
*
grote Cirkelboog BCD

Eigenschap : Een
middellijn loodrecht op de koorde
,,


deelt de koorde middendoor ·

E
.




geg (M
A
: r)



.
,
&

Sol A BEC
,



middellijn[C]S + [AB]
=
1


[DC][AB] =




Te
bewijzen IASI IABI : =




Bewijs AMSEABMS want
: 2 : /AMI IBM e =




IMS)
2 (MSI
(gemeensch )
: =

& !




D H :
5 ,
=
5, =
90
°




dan is (AS) = /BS10

Gevolg : Elke middellin ve arrel is en
symmetricas vid circel .




.2
12 :
Middelpuntshock en omtrekshock
*
Middelpuntshock- hoekpunt valt samen met middelpunt .




Omtrekshoek hoekpunt ligt op Cirkel & benen
*
snijden cirkel .




Eigenschap : Een omtrekshoek is de helft van de middelpuntshoek die op dezelfde boog staat .




① M
ligt op een been van de omtrekshoek
Te
bewijzen AB :

1
=

1AMB A
&


P+ B+
-


Bewijs
°

:
M = 180
12
+
°

M = 180 B
2 1

M27v
o


2P
°

= 180 -
M

2
&

-
-
2

CP =
M
P =

1↑
E AM EB
po
-
=




Gevolgen :
entershakendiop enel
deltaan
zijn gl, ischeen

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