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Änderungen von Dokument Tipp Lineare Algebra

Zuletzt geändert von akukin am 2026/02/17 14:41
Von Version 1.1
bearbeitet von akukin
am 2026/02/17 12:26
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 5.1
bearbeitet von akukin
am 2026/02/17 14:41
Änderungskommentar: Es gibt keinen Kommentar für diese Version

Zusammenfassung

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Inhalt
... ... @@ -26,3 +26,67 @@
26 26  {{detail summary="Hinweis 3"}}
27 27  [[image:DreieckSkizze.svg||width="220"]]
28 28  {{/detail}}
29 +
30 +=== Teilaufgabe c) ===
31 +{{detail summary="Hinweis 1"}}
32 +Stelle eine Gleichung der Ebene {{formula}}F{{/formula}} auf, in der die Punkte {{formula}}D_1, D_2{{/formula}} und {{formula}}S{{/formula}} liegen.
33 +{{/detail}}
34 +
35 +
36 +{{detail summary="Hinweis 2"}}
37 +Die Ebene {{formula}}F{{/formula}}, in der die Punkte {{formula}}D_1, D_2{{/formula}} und {{formula}}S{{/formula}} liegen ist parallel zu der Ebene {{formula}}E{{/formula}}, in der die Punkte {{formula}}B_1, C_1{{/formula}} und {{formula}}C_2{{/formula}} liegen.
38 +{{/detail}}
39 +
40 +
41 +{{detail summary="Hinweis 3"}}
42 +Wenn zwei Ebenen parallel zu einander sind, besitzen sie den selben Normalenvektor.
43 +{{/detail}}
44 +
45 +
46 +{{detail summary="Hinweis 4"}}
47 +{{formula}}
48 +\vec{n}_E=\vec{n}_F=\begin{pmatrix}1\\1\\1\end{pmatrix}
49 +{{/formula}}
50 +{{/detail}}
51 +
52 +
53 +{{detail summary="Hinweis 5"}}
54 +{{formula}}F{{/formula}} hat die Form {{formula}}F: \ x_1+x_2+x_3=b{{/formula}}.
55 +{{/detail}}
56 +
57 +=== Teilaufgabe d) ===
58 +{{detail summary="Hinweis"}}
59 +Begründe, warum der Abstand der Kante {{formula}}D_1D_2{{/formula}} von der {{formula}}x_3{{/formula}}-Achse ist kleiner ist als der Abstand der Kante {{formula}}D_2D_3{{/formula}} von der {{formula}}x_3{{/formula}}-Achse.
60 +{{/detail}}
61 +
62 +=== Teilaufgabe e) ===
63 +{{detail summary="Hinweis 1"}}
64 +Eine Skizze könnte hilfreich sein.
65 +{{/detail}}
66 +
67 +
68 +{{detail summary="Hinweis 2"}}
69 +[[image:Skizzee).svg||width="350"]]
70 +<br>
71 +Gesucht ist der Abstand {{formula}}a{{/formula}}.
72 +{{/detail}}
73 +
74 +
75 +{{detail summary="Hinweis 3"}}
76 +Berechne den Winkel {{formula}}\varphi{{/formula}}, indem du den Winkel zwischen der Vertikalen und dem Sonnenstrahl berechnest.
77 +{{/detail}}
78 +
79 +
80 +{{detail summary="Hinweis 4"}}
81 +Berechne mit Hilfe der Formel in der Merkhilfe den Winkel zwischen {{formula}}\begin{pmatrix}-3\\-2\\4\end{pmatrix}{{/formula}} und {{formula}}\begin{pmatrix}0\\0\\1\end{pmatrix}{{/formula}}.
82 +{{/detail}}
83 +
84 +
85 +{{detail summary="Hinweis 5"}}
86 +Überlege dir, welche trignometrische Beziehung gilt, um so auf {{formula}}a{{/formula}} zu kommen.
87 +{{/detail}}
88 +
89 +
90 +{{detail summary="Hinweis 6"}}
91 +Es gilt {{formula}}\cos(\varphi)=\frac{\text{Ankathete}}{\text{Hypotenuse}}{{/formula}}.
92 +{{/detail}}
DreieckSkizze.svg
Author
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1 +XWiki.akukin
Größe
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1 +8.4 KB
Inhalt
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Skizzee).svg
Author
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1 +XWiki.akukin
Größe
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1 +11.6 KB
Inhalt
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