Grundkompetenz: AG 4.1, AG 4.2, FA 6.4, AN 4.2
Eine Familie plant, ein Baumhaus aus Holz zu errichten. Der Baum dafür steht in einem horizontalen Teil des Gartens.
Eine [math]3,2m[/math] lange Leiter wird angelehnt und reicht dann vom Boden genau bis zum Einstieg ins Baumhaus in einer Höhe von [math]2,8m[/math].[br][br][br][br][b][size=150]1) Berechnen Sie denjenigen Winkel, u[/size][size=150]nter dem die Leiter gegenüber dem horizontalen Boden geneigt ist.[/size][/b]
Die Fenster des Baumhauses sollen eine spezielle Form haben (siehe grau markierte Fläche in der nachstehenden Abbildung).[br][br][img]data:image/png;base64,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[/img][br][br]Die obere Begrenzungslinie des Fensters kann näherungsweise durch den Graphen der Funktion [math]f[/math] beschrieben werden.[br][br][math]f(x)=-0,003·x^3+0,164·x^2-2,25·x+40[/math] mit [math]0\le x\le40[/math][br][math]x[/math], [math]f(x)[/math] ... Koordinaten in [math]cm[/math][br][br][br][br][size=150][b]1) Berechnen Sie, um wie viel Prozent die Fensterfläche in der dargestellten Form kleiner als die Fensterfläche eines quadratischen Fensters mit der Seitenlänge [/b][math]40cm[/math][b] ist.[/b][/size]
[size=100][size=150]Das Baumhaus wird mit gewellten Kunststoffplatten überdacht.[/size][/size][br][br][img]data:image/png;base64,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[/img][br][br]Dem Querschnitt liegt der Graph der Funktion [math]f[/math] mit [math]f(x)=cos(x)[/math] zugrunde. Dieser ist in der nachstehenden Abbildung dargestellt.[br][br][br][br][size=150][b]1) Tragen Sie in der Abbildung die fehlende Zahl in das dafür vorgesehene Kästchen ein.[/b][/size]
In der nachstehenden Abbildung ist ein Winkel [math]α[/math] im Einheitskreis dargestellt.[br][br][br][br][size=150][b]2) Zeichnen Sie im Einheitskreis denjenigen Winkel [/b][math]β[/math][b] ein, für den gilt: [/b][math]sin(β)=sin(α)[/math][b] mit [/b][math]β\neα[/math][b] und [/b][math]0°\leβ\le360°[/math][b].[/b][/size]