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Euklid

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by

Anna Abild Jessen

on 22 May 2014

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Transcript of Euklid

Euklid
Fakta
Opgave 1 a, b
Opgave 1 D
- At alle inderside graderne i en trekant er 180 grader til sammen.

- At en inderside vinkel + en yderside vinkel altid giver 180 grader
Mål vinklerne, og udfyld et skema som vist nederst.
Opgave 1 c
Euklids algoritme: ekempel
Opgave 2
427:183=2 rest 61
183:61=3 rest 0
427:61=7
183:61=3
3
-
7
Opgave 2.a
75:45=1 rest 30
45:30=1 rest 15
30:15=2 rest 0
75:15=5
45:15=3
3
-
5
Hvad er det største tal der går op i både 427 og 183
195:78=2 rest 39
78:39=2 rest 0
195:39=5
78:39=2
2
-
5
Opgave 2.b
209:132=1 rest 77
132:77=1 rest 55
77:55=1 rest 22
55:22=2 rest 11
22:11=2 rest 0
209:11=19
132:11=12
12
-
19
2758:1182=2 rest 394
1182:394=3 rest 0
2758:394=7
1182:394=3
3
-
7
A) Tegn tre tilfældige trekanter, kald vinklerne A,B,C
B) Forlæng siden A,C hver trekant, så der opstår en udenvendig vinkel ved siden af C. Kald vinklen D
Hvilke sammenhæng opdager I ?
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