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Änderungen von Dokument Lösung LGS erstellen

Zuletzt geändert von Martina Wagner am 2025/11/27 10:35
Von Version 10.1
bearbeitet von akukin
am 2025/10/27 16:54
Änderungskommentar: Neues Bild lgserstellen.svg hochladen
Auf Version 13.2
bearbeitet von Verena Schmid
am 2025/11/17 16:17
Änderungskommentar: Es gibt keinen Kommentar für diese Version

Zusammenfassung

Details

Seiteneigenschaften
Dokument-Autor
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1 -XWiki.akukin
1 +XWiki.sc25
Inhalt
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1 +1. Wir zeichnen zwei Geraden, die sich im rechten Winkel im Punkt {{formula}}(-2|3){{/formula}} schneiden. Dies kann beispielsweise so aussehen:
2 +[[image:lgszeichnen.svg||width="350"]]
3 +
4 +Von diesen beiden Geraden bestimmen wir nun die Funktionsgleichungen:
5 +{{formula}}
6 +\begin{align*}
7 +&y=-x+1 \\
8 +&y=x+5
9 +\end{align*}
10 +{{/formula}}
11 +
12 +Die Funktionsgleichungen können wir nun beliebig umformen. Eine Möglichkeit wäre:
13 +{{formula}}
14 +\begin{align*}
15 +&y=-x+1 &&\mid +x \\
16 +&x+y=1 \\
17 +\phantom{} \\
18 +&y=x+5 &&\mid -x\\
19 +&y-x=5
20 +\end{align*}
21 +{{/formula}}
22 +
23 +Wodurch wir folgendes LGS erhalten
24 +{{formula}}
25 +\begin{align*}
26 +&x+y=1 \\
27 +&y-x=5
28 +\end{align*}
29 +{{/formula}}
30 +
31 +2. Die Steigung der zugehörigen Geraden müssten parallel sein
32 +3. Die Geraden müssten identisch sein.
lgserstellen.svg
Author
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1 -XWiki.akukin
Größe
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1 -10.6 KB
Inhalt
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lgszeichnen.svg
Author
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1 +XWiki.akukin
Größe
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1 +14.7 KB
Inhalt
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