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Zuletzt geändert von Martina Wagner am 2026/02/18 16:08
Von Version 53.1
bearbeitet von Martina Wagner
am 2026/02/18 15:57
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Auf Version 37.1
bearbeitet von Stephanie Wietzorek
am 2026/02/04 13:30
Änderungskommentar: Neues Bild Strahlensatz (1).svg hochladen

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Dokument-Autor
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1 -XWiki.martinawagner
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Inhalt
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10 10  
11 11  {{aufgabe id="Parallelogramm überprüfen" afb="II" kompetenzen="K1,K2, K5" quelle="Simone Kanzler, Stephanie Wietzorek" zeit="4" cc="by-sa" tags=""}}
12 12  [[image:Parallelogramm.svg||width=500]]
13 -Prüfe, ob es sich bei der Figur um ein Paralelogramm handelt.
13 +1. Prüfe, ob es sich bei der Figur um ein Paralelogramm handelt.
14 14  {{/aufgabe}}
15 15  
16 +
17 +{{aufgabe id="Einstiegsaufgaben Strahlensätze" afb="III" kompetenzen="K1,K4,K5" quelle="Verena Schmid, Cinzia Moser" zeit="35" cc="by-sa" tags=""}}
18 +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:
19 +- auf dem oberen Strahl A und B
20 +- auf dem unteren Strahl C und D
21 +Die Verbindungslinien AC und BD sind parallel.
22 +1. Skizziere den oben beschriebenen Sachverhalt.
23 +1. Berechne die Strecke SD, wenn SA=3cm, SB=6cm, SC=2cm gegeben sind.
24 +1. Berechne die Strecken BD und SC, wenn SA=2,5cm, AB=1,5cm, SD=8cm, AC=2cm gegeben sind.
25 +1. Stelle grafisch eine andere eigene Strahlensatzfigur dar. Gib eine sinnvolle Beschriftung an. Berechne die Lösung und stelle die Aufgabe deinem Nachbarn zur Verfügung.
26 +1. Beurteilt gemeinsam, ob die Aufgabe gut ist.
27 +{{/aufgabe}}
28 +
16 16  {{aufgabe id="Die Höhe eines Baumes" afb="II" kompetenzen="K1, K2, K6" quelle="Verena Schmid, Cinzia Moser" zeit="15" cc="by-sa" tags=""}}
17 17  Ein Schüler möchte die Höhe eines Baumes bestimmen, ohne hinaufzuklettern. Er nutzt dazu einen 1,60 m langen Stock. Der Stock wird senkrecht auf den Boden gestellt. Gleichzeitig misst der Schüler die Schattenlängen:
18 18  - Schattenlänge des Stocks: 0,80 m
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23 23  1. Erläutere wie sich das Ergebnis ändert, wenn die Schattenlänge des Baumes nur 4,80 m beträgt?
24 24  {{/aufgabe}}
25 25  
39 +{{aufgabe id="Die Leiter an der Wand" afb="III" kompetenzen="K2, K3" quelle="Verena Schmid, Cinzia Moser" zeit="10" cc="by-sa" tags=""}}
40 +Ein Handwerker lehnt eine Leiter an ein Haus. Die Leiter ist 5,0 m lang und erreicht an der Häuserwand eine Höhe von 4,0 m. Weiter entfernt wird eine zweite Leiter verwendet, die 8,0 m lang ist und unter demselben Neigungswinkel steht.
41 +
42 +Berechne, wie hoch würde die zweite Leiter an der Wand reichen wird(bei gleichem Winkel)?
43 +
44 +{{/aufgabe}}
45 +
26 26  {{aufgabe id="Polizei" afb="II" kompetenzen="K2, K3, K4" quelle="Simone Kanzler, Stephanie Wietzorek" zeit="10" cc="by-sa" tags=""}}
27 27  Die Polizei fahndet nach einem Auto und steht in einer Einfahrt. Von dort aus kann sie einen Teil der Straße überblicken.
28 28  Die Einfahrt hat eine Breite von 4m. Die Straße vor der Einfahrt ist 7m breit.
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34 34  
35 35  {{/aufgabe}}
36 36  
37 -{{aufgabe id="Strahlensatz überprüfen" afb="III" kompetenzen="K1,K2,K4,K5, K6" quelle="Simone Kanzler, Stephanie Wietzorek" zeit="8" cc="by-sa" tags=""}}
38 -[[image:StrahlensatzA.svg||width=600]]
39 -Begründe mit Hilfe des 2. Strahlensatzes, dass gilt: {{formula}} \frac{a}{a+b}=\frac{x}{y}{{/formula}} und {{formula}} \frac{c}{c+d} \neq \frac{x}{y}{{/formula}}
40 -{{/aufgabe}}
57 +{{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
41 41  
42 -{{aufgabe id="Einstiegsaufgaben Strahlensätze" afb="III" kompetenzen="K1,K4,K5" quelle="Verena Schmid, Cinzia Moser" zeit="35" cc="by-sa" tags=""}}
43 -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:
44 -- auf dem oberen Strahl A und B
45 -- auf dem unteren Strahl C und D
46 -Die Verbindungslinien AC und BD sind parallel.
47 -1. Skizziere den oben beschriebenen Sachverhalt.
48 -1. Berechne die Strecke SD, wenn SA=3cm, SB=6cm, SC=2cm gegeben sind.
49 -1. Berechne die Strecken BD und SC, wenn SA=2,5cm, AB=1,5cm, SD=8cm, AC=2cm gegeben sind.
50 -1. Stelle grafisch eine andere eigene Strahlensatzfigur dar. Gib eine sinnvolle Beschriftung an. Berechne die Lösung und stelle die Aufgabe deinem Nachbarn zur Verfügung.
51 -1. Beurteilt gemeinsam, ob die Aufgabe gut ist.
52 -{{/aufgabe}}
53 -
54 -{{aufgabe id="Die Leiter an der Wand" afb="III" kompetenzen="K2, K3" quelle="Verena Schmid, Cinzia Moser" zeit="10" cc="by-sa" tags=""}}
55 -Ein Handwerker lehnt eine Leiter an ein Haus. Die Leiter ist 5,0 m lang und erreicht an der Häuserwand eine Höhe von 4,0 m. Weiter entfernt wird eine zweite Leiter verwendet, die 8,0 m lang ist und unter demselben Neigungswinkel steht.
56 -
57 -Berechne, wie hoch würde die zweite Leiter an der Wand reichen wird(bei gleichem Winkel)?
58 -
59 -{{/aufgabe}}
60 -
61 -{{seitenreflexion bildungsplan="4" kompetenzen="5" anforderungsbereiche="5" kriterien="5" menge="5"/}}
62 -
StrahlensatzA.ggb
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StrahlensatzA.svg
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Strahlensatz (1).svg
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Strahlensatz.ggb
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StrahlensatzT.ggb
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