sin, cos, tan beim rechtwinkligen Dreieck erforschen

Vorwissen: Ähnlichkeit von Dreiecken
[color=#980000][b]Zwei Dreiecke sind zueinander ähnlich, wenn sie[br][/b][/color][list][*][color=#980000][b]in allen drei Winkeln übereinstimmen[/b][/color][/*][*][color=#980000][b]in allen einander entsprechenden Seitenverhältnissen übereinstimmen.[/b][/color][/*][/list]
Forschungsauftrag
[color=#3c78d8][b]Untersuche mithilfe einer GeoGebra-Animation, wann zwei rechtwinklige Dreiecke ähnlich sind.[br][br][/b]Konstruiere dafür zunächst rechtwinklige Dreiecke mit dem GeoGebra-Konstruktionstool, führe anschließend Messungen von Winkelgrößen und Seitenlängen durch, berechne Seitenverhältnisse und werte deine Messungen und Beobachtungen aus. [/color]
Konstruktion des Dreiecks
[list=1][*]Setze in dem Konstruktionstool unten auf der horizontalen Achse einen[b] Punkt B [/b]und auf der vertikalen Achse einen [b]Punkt A[/b]. Die Punkte müssen ggf. entsprechend umbenannt werden (Rechtsklick auf Punkt).[/*][*]Verbinde die Punkte A, B und C mithilfe des "Vieleck"-Werkzeugs ([icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon]) zu einem [b]Dreieck[/b].[/*][*]Aktiviere die Beschriftung der drei Dreiecksseiten (Rechtsklick auf jeweilige Seite). Gegebenenfalls musst du die Seiten entsprechend der Benennungskonvention für Dreiecke [b]umbenennen[/b].[/*][*]In der Werkzeugleiste findest du ein Werkzeug ([icon]https://www.geogebra.org/images/ggb/toolbar/mode_distance.png[/icon]), mit dem du [b]Seitenlängen[/b], nachdem du auf die entsprechende Seite geklickt hast, [b]anzeigen [/b]lassen kannst. Verwende dieses Werkzeug. [/*][*]In der Werkzeugleiste findest du ein Werkzeug, mit dem du dir [b]Winkelgrößen anzeigen [/b]lassen kannst: [icon]https://www.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon]. Klicke dieses Werkzeug an und anschließend in die Mitte des Dreiecks. In der Folge werden dir die Winkelgrößen für α, β und γ angezeigt. [/*][/list][br][b]Ergebnis[/b]: Du hast ein Dreieck mit rechtem Winkel beim Punkt C konstruiert und der Punkt A lässt sich entlang der vertikalen und der Punkt B entlang der horizontalen Achse verschieben. Die Seiten(längen), Punkte und Winkel des Dreiecks werden alle angezeigt.
Konstruktionstool
Messung: Untersuchungen am rechtwinkligen Dreieck
[list][*]Wähle im Konstruktionstool oben die Position von Punkt B so, dass die Seite a eine Länge von 6 cm hat. [/*][*]Variiere durch Verschieben des Punktes A entlang der Vertikalen die Länge der Seite b in 0,5 cm-Abständen im Intervall [1 cm; 4 cm].[/*][*]Dokumentiere in der Messtabelle unten die jeweiligen Längen der Seite c sowie die Winkelgrößen für α und β.[/*][*]Berechne die Seitenverhältnisse [math]\frac{a}{c}[/math], [math]\frac{b}{c}[/math] und [math]\frac{b}{a}[/math] und dokumentiere die Werte in der Tabelle unten.[/*][*]Führe die Messungen und Berechnungen analog für die Fälle [math]a=4cm[/math] und [math]a=2cm[/math] durch.[/*][/list]
Messwerte
[b][size=200]Aufgaben[/size][/b]
Aufgabe 1
Welche Dreiecke sind zu dem Dreieck mit der Nr. 5 ähnlich? Wähle die entsprechenden Nummern aus.
Aufgabe 2
Das Dreieck mit welcher Nummer ist zu dem Dreieck Nr. 14 ähnlich? (Gib nur die Nummer ein!)
Aufgabe 3
Welche der folgenden Aussagen ist wahr?
Aufgabe 4
Dein Taschenrechner besitzt die Tasten "sin", "cos" und "tan". Mithilfe dieser Tasten und einem spitzen Winkel des Dreiecks lassen sich die Werte der Messwerttabelle von oben berechnen.[br][br]Probiere dies für die ersten drei Dreiecke aus. Dokumentiere deine Ergebnisse in folgende Tabelle. Markiere einander entsprechende Werte in verschiedenen Spalten mit derselben Farbe (Färbe die entsprechenden Tabellenspalten ein!).
Zusammenfassung (bitte in die Unterlagen übertragen)
Das rechtwinklige Dreieck [math]\Delta ABC[/math] mit [math]\gamma=90°[/math] besitzt die Katheten [math]a[/math] und [math]b[/math] sowie die Hypotenuse [math]c[/math].[br]Ob eine Kathete an einem Winkel anliegt oder dem Winkel gegenüber liegt, entscheidet darüber, ob es zu dem betrachteten Winkel die Ankathete (anliegend) oder Gegenkathete (gegenüberliegend) ist.[br][img]data:image/png;base64,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[/img][br]Es gilt im [b]rechtwinkligen Dreieck[/b]:[br][br][math]sin\left(\beta\right)=\frac{b}{c}=\frac{Gegenkathete}{Hypotenuse}[/math] sowie[br][br][math]cos\left(\beta\right)=\frac{a}{c}=\frac{Ankathete}{Hypotenuse}[/math].[br][br]Außerdem gilt:[br][math]cos\left(\beta\right)=\frac{b}{a}=\frac{Gegenkathete}{Ankathete}[/math]
Aufgabe 5
Welche Zusammenhänge gelten im rechtwinkligen Dreieck mit [math]\gamma=90°[/math] für den Winkel [math]\alpha[/math]? Wähle aus. [b][color=#980000]Ergänze die (zwei) korrekten Lösungen in die von oben in dein Heft abgeschriebene Zusammenfassung.[/color][/b]
Aufgabe 6
Bestimme mithilfe der sin- und cos-Tasten deines Taschenrechners die Kathetenlängen [math]a[/math] und [math]b[/math] des folgenden Dreiecks. Überprüfe deine [b]berechneten [/b]Werte, indem du das Dreieck mithilfe des Konstruktionstools von oben [b]konstruierst[/b].[br][br][img]data:image/png;base64,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[/img]
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Information: sin, cos, tan beim rechtwinkligen Dreieck erforschen