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Von Version 40.1
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Titel
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1 -BPE 16.5 Gegenseitige Lage von Ebenen und Geraden
1 +BPE 16.5 Gegenseitige Lage von Ebenen
Dokument-Autor
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1 -XWiki.akukin
1 +XWiki.holgerengels
Inhalt
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45 45   2x_1 + x_3 &= 3
46 46  \end{aligned}{{/formula}}
47 47  
48 -[[image:3 Ebenen A.svg||width="200"]][[image:3 Ebenen B.svg||width="200"]][[image:3 Ebenen C.svg||width="200"]]
48 +[[image:3 Ebenen Y.svg||width="200"]][[image:3 Ebenen C.svg||width="200"]][[image:3 Ebenen D.svg||width="200"]]
49 49  {{/aufgabe}}
50 -
51 -{{aufgabe id="Schnittpunkt Ebene Gerade" afb="I, II" kompetenzen="K2, K4, K5" quelle="[[IQB e.V.>>https://www.iqb.hu-berlin.de/media/exercise_files/Abituraufgaben_Mathematik/2017MerhoehtAAGLAA211_Aufgabe.pdf]]" zeit="15" niveau="e" tags="iqb" cc="BY"}}
52 -Gegeben sind die Ebene {{formula}}E: x_1 + x_2 + 2x_3 = 4{{/formula}} und \\
53 -die Gerade {{formula}}g: \vec{x} = \begin{pmatrix} 2 \\ 1 \\ -2 \end{pmatrix} + \lambda \cdot \begin{pmatrix} 2 \\ -1 \\ -3 \end{pmatrix}{{/formula}} mit {{formula}}\lambda \in \mathbb{R}{{/formula}}.
54 -(%class=abc%)
55 -1. Zeichne die Schnittgerade von {{formula}}E{{/formula}} mit der {{formula}}x_2x_3{{/formula}}-Ebene in ein Koordinatensystem ein.
56 -1. Berechne die Koordinaten des Schnittpunktes von {{formula}}E{{/formula}} und {{formula}}g{{/formula}}.
57 -{{/aufgabe}}
3 Ebenen A.svg
Author
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3 Ebenen B.svg
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3 Ebenen D.svg
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3 Ebenen Y.svg
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