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Zuletzt geändert von Stephanie Wietzorek am 2026/02/04 13:14
Von Version 16.7
bearbeitet von Cinzia Moser
am 2025/11/17 16:09
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Auf Version 40.1
bearbeitet von Stephanie Wietzorek
am 2026/02/04 13:41
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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 +{{aufgabe id="Strahlensatz überprüfen" afb="III" kompetenzen="K1,K2, K5" quelle="Simone Kanzler, Stephanie Wietzorek" zeit="8" cc="by-sa" tags=""}}
17 +[[image:Strahlensatz.svg||width=500]]
18 +1. Überprüfe mit Hilfe des 2. Strahlensatzes, ob
19 +{{/aufgabe}}
20 +
21 +{{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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17 17  1. Berechne die Strecke SD, wenn SA=3cm, SB=6cm, SC=2cm gegeben sind.
18 18  1. Berechne die Strecken BD und SC, wenn SA=2,5cm, AB=1,5cm, SD=8cm, AC=2cm gegeben sind.
19 19  1. Stelle grafisch eine andere eigene Strahlensatzfigur dar. Gib eine sinnvolle Beschriftung an. Berechne die Lösung und stelle die Aufgabe deinem Nachbarn zur Verfügung.
30 +1. Beurteilt gemeinsam, ob die Aufgabe gut ist.
20 20  {{/aufgabe}}
21 21  
22 22  {{aufgabe id="Die Höhe eines Baumes" afb="II" kompetenzen="K1, K2, K6" quelle="Verena Schmid, Cinzia Moser" zeit="15" cc="by-sa" tags=""}}
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24 24  - Schattenlänge des Stocks: 0,80 m
25 25  - Schattenlänge des Baumes: 6,40 m
26 26  Hinweis: Sonne, Stock und Baum erzeugen zueinander ähnliche Dreiecke.
27 -1. Erkläre kurz, warum man hier die Strahlensätze anwenden kann.
28 -1. Stelle den passenden Strahlensatz zur Berechnung der Baumhöhe auf.
29 -1. Berechne die Höhe des Baumes. Zeige deinen Rechenweg.
30 -1. Wie ändert sich das Ergebnis, wenn die Schattenlänge des Baumes nur 4,80 m beträgt?
38 +1. Begründe, warum man hier die Strahlensätze anwenden kann.
39 +1. Bestimme den passenden Strahlensatz zur Berechnung der Baumhöhe. Berechne damit Höhe des Baumes. Zeige deinen Rechenweg.
40 +1. Erläutere wie sich das Ergebnis ändert, wenn die Schattenlänge des Baumes nur 4,80 m beträgt?
31 31  {{/aufgabe}}
32 32  
33 33  {{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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37 37  
38 38  {{/aufgabe}}
39 39  
50 +{{aufgabe id="Polizei" afb="II" kompetenzen="K2, K3, K4" quelle="Simone Kanzler, Stephanie Wietzorek" zeit="10" cc="by-sa" tags=""}}
51 +Die Polizei fahndet nach einem Auto und steht in einer Einfahrt. Von dort aus kann sie einen Teil der Straße überblicken.
52 +Die Einfahrt hat eine Breite von 4m. Die Straße vor der Einfahrt ist 7m breit.
53 +Die Sichtlinie der Polizisten vom Rand der Einfahrt ist gestrichelt eingezeichnet.
54 +[[image:Polizei.svg||width=600]]
55 +
56 +a) Wie viel Meter der Straße können die Polizisten von ihrer Position aus überblicken, wenn ihre Sicht parallel zur Straße verläuft?
57 +b) Wie weit müsste das Polizeiauto nach vorne fahren, um insgesamt 20m zu überblicken?
58 +
59 +{{/aufgabe}}
60 +
40 40  {{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
41 41  
Lösung_Str.jpg
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Parallelogramm.ggb
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Parallelogramm.svg
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Polizei.svg
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Strahlensatz.ggb
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Strahlensatz.svg
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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