Grundseite eines Dreiecks bestimmen im Koordinatensystem
[b]Aufgabe A1[/b][br][br][b]Welche der Dreiecke liegen so geschickt im Koordinatensystem, dass die Länge der Grundseite und die Länge der Höhe (ohne messen) bestimmt werden können? Begründung![/b]
Welches Dreieck?
Begründung
Funktionale Abhängigkeiten Einführung
Aufgaben mit Variablen
[b]Gegeben ist das Dreieck ABC[sub]n[/sub] wie in der Skizze:[/b][br][br]
Maße in LE.
[b]Gib die Länge der Grundseite an.[/b]
[b]Die Höhe hat keinen festen Wert.[br]Gib die Länge der Höhe an.[/b][br]
Aufgabe:
[b]A[/b][b] 2.1 Für welche Werte von x lässt sich kein Dreieck zeichnen?[/b][br][b]A 2.2 Zeichne das Dreieck ABC[sub]1[/sub] für x = 6[/b][br][b]A 2.3 Berechne den Flächeninhalt A(x) für x = 6[/b][br][b]A 2.4 Bestimme den Flächeninhalt in Abhängigkeit von x.[/b][br]A 2.5 Für welchen Wert von x entsteht ein rechtwinkliges Dreieck? Ermittle durch Zeichnung![br][br][br][br][br]
Maße in LE.
Funktionale Abhängigkeiten - Begriffe
"funktional"
[size=200][math]\longrightarrow[/math][size=150][b] ein [color=#0000ff]Punkt [/color]wandert auf einer [color=#38761D]Funktion [/color][/b](z.B. lineare Funktion wie im Bild)[/size][/size][br](manchmal auch: "eine Strecke wird um x LE verlängert" oder ähnliches)
[math]\longrightarrow[/math] [size=150][b]dieser [color=#0000ff]Punkt [/color]ist Teil einer Figur[/b][/size][br](oder einer Strecke etc.)
[size=200][math]\longrightarrow[/math][size=150][b] die Lage des [color=#0000ff]Punktes [color=#000000]verändert den Flächeninhalt der Figur (oder der Strecke, etc.[/color][/color][/b][/size][/size][b])[br][size=150][math]\longrightarrow[/math] der Flächeninhalt des Dreiecks ist eindeutig abhängig von der Lage des Punktes.[br][/size][/b][br]Allgemeine Definition für "Funktionale Abhängigkeit": [br]Eine Größe (z.B. Flächeninhalt) ist eindeutig abgängig von einer 2. "Größe" (z.B. x-Wert eines Punktes).
Funktionale Abhängigkeiten - Musteraufgabe mit Lernvideo
Musteraufgabe
[b]Gegeben[/b][b] ist die Gleichung der Geraden g mit g: y = 0,4x + 3. ([math]x,y\in\mathbb{Q}[/math])[/b][br][b]Der Punkt C[sub]n[/sub] wandert auf der Geraden g und besitzt die Koordinaten [/b][b]C[sub]n[/sub][/b][b](x|0,4x+3).[/b][br][b]Mit den festen Punkte A (-2|-1) und B (4|-1) und dem Punkt C[sub]n[/sub](x|0,4x+3) entstehen Dreiecke ABC[sub]n[/sub].[/b][br][br][b]a) Zeichne die Punkte A, B und die Gerade g in das Koordinatensystem ein.[/b][br][b]b) Zeichne das Dreieck ABC[sub]1[/sub] für x = 2,5 und das Dreieck ABC[sub]2 [/sub]für x = 9.[/b][br][b]c) Berechne den Flächeninhalt A[sub]1[/sub] und A[sub]2[/sub] der beiden Dreiecke. [/b][i](nicht messen!)[/i][br][b]d) Für welche Werte von x entstehen Dreiecke ABC[sub]n[/sub]?[/b][br][b]e) Bestimme den Flächeninhalt A(x) der Dreiecke ABC[sub]n[/sub] in Abhängigkeit der Abszisse x der Punkte C[sub]n[/sub].[/b][br][b]f) Max behauptet: [i]„Unter den Dreiecken ABC[/i][sub][i]n [/i][/sub][i]gibt es drei rechtwinklige.“[/i][/b][br]
[b]Bestimme[/b][b] den Flächeninhalt A(x) der Dreiecke ABC[sub]n[/sub] in Abhängigkeit[/b][b] der Abszisse x der Punkte C[sub]n[/sub].[/b][br]
Lernvideo zur Musteraufgabe
Zusatzaufgabe
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[/img]