Zuletzt geändert von Anna Kukin am 2026/05/25 18:19

Von Version 27.1
bearbeitet von Holger Engels
am 2026/04/28 13:11
Änderungskommentar: Anhang 3 Ebenen alle parallel.svg verschoben nach 3 Ebenen B.svg.
Auf Version 14.1
bearbeitet von Dirk Tebbe
am 2026/04/28 10:01
Änderungskommentar: Es gibt keinen Kommentar für diese Version

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19 19  1. Welche besondere Lage haben die beiden Ebenen zueinander?
20 20  {{/aufgabe}}
21 21  
22 -{{aufgabe id="Lösungsmenge geometrisch" afb="II" kompetenzen="K6" quelle="Frauke Beckstette" zeit="12"}}
23 -Ordne den folgenden linearen Gleichungssystemen jeweils die passende Abbildung zu. Begründe deine Entscheidung.
24 -Visualisiere das verbliebene LGS analog.
25 -(%class="abc horiz"%)
26 -1. (%style="vertical-align: top"%){{formula}}
27 -\begin{aligned}
28 - x_1 + x_2 &= 1 \\
29 - - 3x_2 &= 8 \\
30 - -x_1 + 2x_2 + x_3 &= 4
31 -\end{aligned}
32 -{{/formula}}
33 -1. (%style="vertical-align: top"%){{formula}}
34 -\begin{aligned}
35 - 3x_1 - 2x_2 + x_3 &= 7 \\
36 - -6x_1 + 4x_2 - 2x_3 &= 3 \\
37 - 15x_1 - 10x_2 + 5x_3 &= 5
38 -\end{aligned}
39 -{{/formula}}
40 -1. (%style="vertical-align: top"%){{formula}}
41 -\begin{aligned}
42 - 2x_1 - 2x_2 + 2x_3 &= 2 \\
43 - -2x_1 - 6x_2 + 2x_3 &= 0 \\
44 - 2x_1 + 2x_2 &= 1
45 -\end{aligned}
46 -{{/formula}}
47 -1. (%style="vertical-align: top"%){{formula}}
48 -\begin{aligned}
49 - x_1 + 3x_2 - 2x_3 &= 5 \\
50 - -2x_1 - 6x_2 + 4x_3 &= 1 \\
51 - 2x_1 + x_3 &= 3
52 -\end{aligned}
53 -{{/formula}}
54 54  
55 -[[image:3 Ebenen A.svg||width=300]][[image:3 Ebenen B.svg||width=300]][[image:3 Ebenen C.svg||width=300]][[image:3 Ebenen D.svg||width=300]]
56 -{{/aufgabe}}
3 Ebenen A.svg
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3 Ebenen B.svg
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3 Ebenen alle parallel.ggb
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3 Ebenen davon zwei parallel.ggb
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3 Ebenen davon zwei parallel.svg
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3 Ebenen schneiden sich in einem Punkt.ggb
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3 Ebenen schneiden sich in einer Gerade.ggb
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3 Ebenen schneiden sich in einer Gerade.svg
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