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Zuletzt geändert von Stephanie Wietzorek am 2026/02/04 13:14
Von Version 16.8
bearbeitet von Cinzia Moser
am 2025/11/17 16:10
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 38.1
bearbeitet von Stephanie Wietzorek
am 2026/02/04 13:33
Änderungskommentar: Löschung des Bildes Strahlensatz (1).svg

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Dokument-Autor
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1 -XWiki.mr79
1 +XWiki.wies
Inhalt
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8 8  1. Beschreibe mit eigenen Worten, welche Eigenschaften eine Strahlensatzfigur erfüllen muss.
9 9  {{/aufgabe}}
10 10  
11 -{{aufgabe id="Einstiegsaufgaben Strahlensätze" afb="III" kompetenzen="K1, K3, K4, K6" quelle="Verena Schmid, Cinzia Moser" zeit="35" cc="by-sa" tags=""}}
11 +{{aufgabe id="Parallelogramm überprüfen" afb="II" kompetenzen="K1,K2, K5" quelle="Simone Kanzler, Stephanie Wietzorek" zeit="4" cc="by-sa" tags=""}}
12 +[[image:Parallelogramm.svg||width=500]]
13 +1. Prüfe, ob es sich bei der Figur um ein Paralelogramm handelt.
14 +{{/aufgabe}}
15 +
16 +
17 +{{aufgabe id="Einstiegsaufgaben Strahlensätze" afb="III" kompetenzen="K1,K4,K5" quelle="Verena Schmid, Cinzia Moser" zeit="35" cc="by-sa" tags=""}}
12 12  In einer Zeichnung schneiden sich zwei Geraden in einem Punkt S. Von dort aus gehen zwei Strahlen nach rechts auseinander. Auf ihnen liegen die Punkte:
13 13  - auf dem oberen Strahl A und B
14 14  - auf dem unteren Strahl C und D
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25 25  - Schattenlänge des Stocks: 0,80 m
26 26  - Schattenlänge des Baumes: 6,40 m
27 27  Hinweis: Sonne, Stock und Baum erzeugen zueinander ähnliche Dreiecke.
28 -1. Erkläre kurz, warum man hier die Strahlensätze anwenden kann.
29 -1. Stelle den passenden Strahlensatz zur Berechnung der Baumhöhe auf.
30 -1. Berechne die Höhe des Baumes. Zeige deinen Rechenweg.
31 -1. Wie ändert sich das Ergebnis, wenn die Schattenlänge des Baumes nur 4,80 m beträgt?
34 +1. Begründe, warum man hier die Strahlensätze anwenden kann.
35 +1. Bestimme den passenden Strahlensatz zur Berechnung der Baumhöhe. Berechne damit Höhe des Baumes. Zeige deinen Rechenweg.
36 +1. Erläutere wie sich das Ergebnis ändert, wenn die Schattenlänge des Baumes nur 4,80 m beträgt?
32 32  {{/aufgabe}}
33 33  
34 34  {{aufgabe id="Die Leiter an der Wand" afb="III" kompetenzen="K2, K3" quelle="Verena Schmid, Cinzia Moser" zeit="10" cc="by-sa" tags=""}}
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38 38  
39 39  {{/aufgabe}}
40 40  
46 +{{aufgabe id="Polizei" afb="II" kompetenzen="K2, K3, K4" quelle="Simone Kanzler, Stephanie Wietzorek" zeit="10" cc="by-sa" tags=""}}
47 +Die Polizei fahndet nach einem Auto und steht in einer Einfahrt. Von dort aus kann sie einen Teil der Straße überblicken.
48 +Die Einfahrt hat eine Breite von 4m. Die Straße vor der Einfahrt ist 7m breit.
49 +Die Sichtlinie der Polizisten vom Rand der Einfahrt ist gestrichelt eingezeichnet.
50 +[[image:Polizei.svg||width=600]]
51 +
52 +a) Wie viel Meter der Straße können die Polizisten von ihrer Position aus überblicken, wenn ihre Sicht parallel zur Straße verläuft?
53 +b) Wie weit müsste das Polizeiauto nach vorne fahren, um insgesamt 20m zu überblicken?
54 +
55 +{{/aufgabe}}
56 +
41 41  {{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
42 42  
Lösung_Str.jpg
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Größe
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Inhalt
Parallelogramm.ggb
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Parallelogramm.svg
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Polizei.svg
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Strahlensatz.ggb
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StrahlensatzT.ggb
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1 +Begriff Winkelweite bildet sich im Verhältnis der Strecken ab; in den Aufgaben wird nicht darauf eingegangen
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1 +2026-02-04 09:57:36.483