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Zuletzt geändert von Anna Kukin am 2026/05/20 22:09
Von Version 31.1
bearbeitet von Holger Engels
am 2026/04/28 13:16
Änderungskommentar: Anhang 3 Ebenen B.svg verschoben nach 3 Ebenen X.svg.
Auf Version 33.1
bearbeitet von Holger Engels
am 2026/04/28 13:18
Änderungskommentar: Anhang 3 Ebenen A.svg verschoben nach 3 Ebenen Y.svg.

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Inhalt
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22 22  {{aufgabe id="Lösungsmenge geometrisch" afb="II" kompetenzen="K6" quelle="Frauke Beckstette" zeit="12"}}
23 23  Ordne den folgenden linearen Gleichungssystemen jeweils die passende Abbildung zu. Begründe deine Entscheidung.
24 24  Visualisiere das verbliebene LGS analog.
25 -(%class="abc horiz"%)
26 -1. (%style="vertical-align: top"%){{formula}}
27 -\begin{aligned}
25 +
26 +(% class="abc horiz" %)
27 +1. (% style="vertical-align: top" %){{formula}}\begin{aligned}
28 28   x_1 + x_2 &= 1 \\
29 29   - 3x_2 &= 8 \\
30 30   -x_1 + 2x_2 + x_3 &= 4
31 -\end{aligned}
32 -{{/formula}}
33 -1. (%style="vertical-align: top"%){{formula}}
34 -\begin{aligned}
31 +\end{aligned}{{/formula}}
32 +1. (% style="vertical-align: top" %){{formula}}\begin{aligned}
35 35   3x_1 - 2x_2 + x_3 &= 7 \\
36 36   -6x_1 + 4x_2 - 2x_3 &= 3 \\
37 37   15x_1 - 10x_2 + 5x_3 &= 5
38 -\end{aligned}
39 -{{/formula}}
40 -1. (%style="vertical-align: top"%){{formula}}
41 -\begin{aligned}
36 +\end{aligned}{{/formula}}
37 +1. (% style="vertical-align: top" %){{formula}}\begin{aligned}
42 42   2x_1 - 2x_2 + 2x_3 &= 2 \\
43 43   -2x_1 - 6x_2 + 2x_3 &= 0 \\
44 44   2x_1 + 2x_2 &= 1
45 -\end{aligned}
46 -{{/formula}}
47 -1. (%style="vertical-align: top"%){{formula}}
48 -\begin{aligned}
41 +\end{aligned}{{/formula}}
42 +1. (% style="vertical-align: top" %){{formula}}\begin{aligned}
49 49   x_1 + 3x_2 - 2x_3 &= 5 \\
50 50   -2x_1 - 6x_2 + 4x_3 &= 1 \\
51 51   2x_1 + x_3 &= 3
52 -\end{aligned}
53 -{{/formula}}
46 +\end{aligned}{{/formula}}
54 54  
55 -[[image:3 Ebenen A.svg||width=200]][[image:3 Ebenen B.svg||width=200]][[image:3 Ebenen C.svg||width=200]][[image:3 Ebenen D.svg||width=200]]
48 +[[image:3 Ebenen A.svg||width="200"]][[image:3 Ebenen C.svg||width="200"]][[image:3 Ebenen D.svg||width="200"]]
56 56  {{/aufgabe}}
3 Ebenen A.svg
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3 Ebenen Y.svg
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