Zum Inhalt springen
Zuletzt geändert von Anna Kukin am 2026/05/20 22:09
Von Version 28.1
bearbeitet von Holger Engels
am 2026/04/28 13:11
Änderungskommentar: Anhang 3 Ebenen davon zwei parallel.svg verschoben nach 3 Ebenen C.svg.
Auf Version 35.2
bearbeitet von Holger Engels
am 2026/04/28 13:19
Änderungskommentar: Rückverlinkungen umbenannt.

Zusammenfassung

Details

Seiteneigenschaften
Inhalt
... ... @@ -22,35 +22,28 @@
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=300]][[image:3 Ebenen B.svg||width=300]][[image:3 Ebenen C.svg||width=300]][[image:3 Ebenen D.svg||width=300]]
48 +[[image:3 Ebenen B.svg||width="200"]][[image:3 Ebenen C.svg||width="200"]][[image:3 Ebenen A.svg||width="200"]]
56 56  {{/aufgabe}}
3 Ebenen schneiden sich in einer Gerade.svg
Author
... ... @@ -1,1 +1,0 @@
1 -XWiki.holgerengels
Größe
... ... @@ -1,1 +1,0 @@
1 -4.6 KB
Inhalt
3 Ebenen X.svg
Author
... ... @@ -1,0 +1,1 @@
1 +XWiki.holgerengels
Größe
... ... @@ -1,0 +1,1 @@
1 +4.2 KB
Inhalt
... ... @@ -1,0 +1,1 @@
1 +<svg version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="633" height="617"><defs><clipPath id="sRGXtZPVAmBF"><path fill="none" stroke="none" d=" M 0 0 L 633 0 L 633 617 L 0 617 L 0 0 Z"/></clipPath></defs><g transform="scale(1,1)" clip-path="url(#sRGXtZPVAmBF)"><g><rect fill="rgb(255,255,255)" stroke="none" x="0" y="0" width="634" height="618" fill-opacity="1"/><path fill="rgb(21,101,192)" stroke="none" paint-order="stroke fill markers" fill-rule="evenodd" d=" M 166.5 302.49999999999966 L 574.5 199.49999999999983 L 466.5 302.49999999999966 L 66.5 402.49999999999943 Z" fill-opacity="0.09803921568627451"/><path fill="rgb(0,103,88)" stroke="none" paint-order="stroke fill markers" fill-rule="evenodd" d=" M 566.5 102.50000000000001 L 166.5 202.49999999999983 L 66.5 302.49999999999966 L 466.5 202.49999999999983 Z" fill-opacity="0.09803921568627451"/><path fill="rgb(241,194,50)" stroke="none" paint-order="stroke fill markers" fill-rule="evenodd" d=" M 66.5 502.4999999999992 L 466.5 402.49999999999943 L 566.5 302.49999999999966 L 166.5 402.49999999999943 Z" fill-opacity="0.09803921568627451"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 166.5 302.49999999999966 L 574.5 199.49999999999983" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 574.5 199.49999999999983 L 466.5 302.49999999999966" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 466.5 302.49999999999966 L 66.5 402.49999999999943" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 66.5 402.49999999999943 L 166.5 302.49999999999966" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(0,103,88)" paint-order="fill stroke markers" d=" M 566.5 102.50000000000001 L 166.5 202.49999999999983" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(0,103,88)" paint-order="fill stroke markers" d=" M 166.5 202.49999999999983 L 66.5 302.49999999999966" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(0,103,88)" paint-order="fill stroke markers" d=" M 66.5 302.49999999999966 L 466.5 202.49999999999983" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(0,103,88)" paint-order="fill stroke markers" d=" M 466.5 202.49999999999983 L 566.5 102.50000000000001" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(241,194,50)" paint-order="fill stroke markers" d=" M 66.5 502.4999999999992 L 466.5 402.49999999999943" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(241,194,50)" paint-order="fill stroke markers" d=" M 466.5 402.49999999999943 L 566.5 302.49999999999966" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(241,194,50)" paint-order="fill stroke markers" d=" M 566.5 302.49999999999966 L 166.5 402.49999999999943" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(241,194,50)" paint-order="fill stroke markers" d=" M 166.5 402.49999999999943 L 66.5 502.4999999999992" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/></g></g></svg>