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(Quadratische Funktionen und Klippenspringen: Quellcode eingegeben)
 
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[[Variationen/Quadratische Funktionen2/Einstieg|1. Fußball-WM 2006 - Wasserverbrauch]]
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__NOTOC__
 
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<div style="margin:0; margin-right:4px; margin-left:0px; border:2px solid #f4f0e4; padding: 0em 0em 0em 1em; background-color:#f4f0e4;">[[../Einstieg|1. Fußball-WM 2006 - Wasserverbrauch]] | [[../Quadratische Funktionen|2. Quadratische Funktionen und Klippenspringen]] | [[../Übungen zu a|3. Übungen]] | [[../Quadratische Funktionen und der Parameter c|4. Quadratische Funktionen und Volleyball]] | [[../Quadratische Funktionen und der Parameter b|5. Quadratische Funktionen und Fußball]] | [[../Quadratische Funktionen und die Scheitelform|6. Quadratische Funktionen und Basketball]] | [[../Endspurt|7. Endspurt]]
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=Quadratische Funktionen=
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==Quadratische Funktionen und Klippenspringen==
  
 
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Hier erfährst du alle wichtigen Merkmale der quadratischen Funktion:  
 
Hier erfährst du alle wichtigen Merkmale der quadratischen Funktion:  
 
   
 
   
{{Merksatz|MERK= Die Graphen von Funktionen mit der Funktionsgleichung <math>f(x)=x^2</math> heißen '''Parabeln'''.
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<div style="font: 10pt Verdana; font-weight:bold; padding:5px; border-bottom:1px solid #AAAAAA;">Merke:</div>
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Die Graphen von Funktionen mit der Funktionsgleichung '''f(x)=x²''' heißen '''Parabeln'''.
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Sie lassen sich auch in der Form '''y=x²''' darstellen.
  
 
Sie sind '''symmetrisch zur y-Achse.''' Der Punkt <math>S(0\!\,|\!\,0)</math> heißt '''Scheitel der Parabel''' und ist der tiefste Punkt.
 
Sie sind '''symmetrisch zur y-Achse.''' Der Punkt <math>S(0\!\,|\!\,0)</math> heißt '''Scheitel der Parabel''' und ist der tiefste Punkt.
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Schön, nun wissen wir, dass wir es mit Parabeln zu tun haben. Diese sind jedoch nicht immer in der starren Form f(x)=x² dargestellt. In der folgenden Aufgabe kannst du diese Parabel durch einen Schieberegler BILD verändern.
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Schön, nun wissen wir, dass wir es mit Parabeln zu tun haben. Diese sind jedoch nicht immer in der starren Form f(x)=x² dargestellt. In der folgenden Aufgabe kannst du diese Parabel durch Schieben des Punktes auf dem Schieberegler [[Bild:Schieberegler.bmp]] verändern.
 
Aber sieh dir das selbst mal an.
 
Aber sieh dir das selbst mal an.
  
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===Aufgabe x===
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===Aufgabe 5===
 
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" framePossible = "false" showResetIcon = "false" showAnimationButton = "true" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" />
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framePossible = "false" showResetIcon = "false" showAnimationButton = "true" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" />
 
</div>
 
</div>
 
+
<br\>
 +
[[Bild:Laufzettel.png|50px]] Notiere eine mögliche Sprungbahn auf deinem Laufzettel!
  
 
{|border="0" cellspacing="0" cellpadding="4"
 
{|border="0" cellspacing="0" cellpadding="4"
 
|align = "left" width="450"|  
 
|align = "left" width="450"|  
Im rechten Bild siehst du wieder die Parabel von oben. Man kann für sie auch die Gleichung '''<math>f(x)=ax^2</math>''' aufstellen, wobei <math>a = 1</math> ist. In diesem Fall heißt die Funktion '''Normalparabel'''. Doch was passiert, wenn man die Zahl a verändert?
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Bei der Suche nach einer passenden Sprungbahn ist dir sicherlich aufgefallen, dass sich der Name der Funktion geändert hat. Vor dem x² ist plötzlich eine Zahl erschienen. Unsere Funktion erhält also eine neue Gleichung: '''<math>f(x)=ax^2</math>'''.
 +
Mit der Manipulation des Schiebereglers hast du den Parameter a verändert.
 +
Die Auswirkungen von unterschiedlichen Werten für a kannst du in der nebenstehenden Abbildung noch einmal testen.
 +
  
<div style="border: 2px solid #00CD66; background-color:#ffffff; padding:7px;">
 
  
===Aufgabe 1===
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<div style="border: 2px solid #00CD66; background-color:#ffffff; padding:7px;">
Verändere a mithilfe des Schiebreglers in der nebenstehenden Graphik und beobachte die Veränderung. Als Orientierung dient dir der Graph x².<br\>
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Jetzt wird es dir nicht mehr schwer fallen, diese Sätze zu vervollständigen.
+
  
<div class="lueckentext-quiz">
+
===Aufgabe 6===
 +
Hast du mit a etwas experimentiert?<br\>
 +
Dann wird es dir jetzt nicht mehr schwer fallen, diese Sätze zu vervollständigen.
  
Ist a>0, dann ist die Parabel <strong> enger </strong> (gestreckt) als die Normalparabel.
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<div class="lueckentext-quiz">
Für 0< a < 1 ist die Parabel <strong> weiter </strong> (gestaucht) als die Normalparabel.
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Ist a = 1, so nennt man den Graphen <big>Normalparabel</big>.
 +
Ist a > 1, dann ist die Parabel <strong> enger </strong> (gestreckt) als die Normalparabel.
 +
Für 0 < a < 1 ist die Parabel <strong> weiter </strong> (gestaucht) als die Normalparabel.
 
Ist a negativ, so ist die Parabel <strong> nach unten geöffnet </strong>.
 
Ist a negativ, so ist die Parabel <strong> nach unten geöffnet </strong>.
  
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|valign="top"|
  
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[[Bild:Laufzettel.png|50px]] Bewerte die Aufgaben jetzt auf deinem Laufzettel!
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Mit deinen neugewonnenen Erkenntnissen kannst du die nächsten Aufgaben lösen.
  
Mit deinen neugewonnenen Erkenntnissen kannst du die nächste Aufgabe lösen.
 
 
 
 
 
<div style="border: 2px solid #00CD66; background-color:#ffffff; padding:7px;">
 
===Aufgabe 2===
 
'''Ordne den blaugefärbten Parabeln die jeweils richtige Gleichung zu. Die Normalparabel (schwarz) dient dir als Orientierung.'''
 
 
<div class="lueckentext-quiz">
 
 
{|
 
|-
 
| [[Bild:Aufgabe3a.png|250px]]  ||  [[Bild:Aufgabe3b.png|250px]] || [[Bild:Aufgabe3c.png|270px]] || [[Bild:Aufgabe3d.png|270px]]
 
|-
 
| <strong> y<math>=</math> 3,5 x<sup>2</sup> </strong>  || <strong> y<math>=</math> 2 x<sup>2</sup> </strong> || <strong> y<math>=</math> - 0,1 x<sup>2</sup> </strong> || <strong> y<math>=</math> - x<sup>2</sup> </strong> 
 
|}
 
 
</div>
 
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</div>
 
 
 
 
 
 
 
<div style="border: 2px solid #00CD66; background-color:#ffffff; padding:7px;">
 
 
===Aufgabe 3===
 
'''Kreuze die zutreffenden Aussagen zu obigen quadratischen Funktionen an. Es sind jeweils mehrere Antworten richtig. '''
 
<div class="multiplechoice-quiz">
 
'''f(x) = 3,5x<sup>2</sup>'''  (!Die Parabel ist nach unten geöffnet.) (Die Parabel ist nach oben geöffnet.)  (Die Parabel ist enger als die Normalparabel.) (!Die Parabel ist weiter als die Normalparabel.) (Der Punkt [2|14] liegt auf dem Graphen.) (Der Punkt [14|2] liegt nicht auf dem Graphen.)
 
 
'''f(x) = -x<sup>2</sup>'''  (Die Parabel ist nach unten geöffnet.) (!Die Parabel ist nach oben geöffnet.)  (!Die Parabel ist enger als die Normalparabel.) (!Die Parabel ist weiter als die Normalparabel.) (Der Punkt [2|-2] liegt auf dem Graphen.) (!Der Punkt [2|2] liegt  auf dem Graphen.)
 
 
'''f(x) = 2x<sup>2</sup>'''  (!Die Parabel ist nach unten geöffnet.) (Die Parabel ist nach oben geöffnet.)  (Die Parabel ist enger als die Normalparabel.) (!Die Parabel ist weiter als die Normalparabel.) (!Der Punkt [0|-2] liegt auf dem Graphen.) (Der Punkt [1|2] liegt  oberhalb des Graphen.)
 
 
'''f(x) = -0,1x<sup>2</sup>'''  (Die Parabel ist nach unten geöffnet.) (!Die Parabel ist nach oben geöffnet.)  (!Die Parabel ist enger als die Normalparabel.) (Die Parabel ist weiter als die Normalparabel.) (!Der Punkt [-1|2] liegt auf dem Graphen.) (Der Punkt [-1|1] liegt  oberhalb des Graphen.)
 
</div>
 
 
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</div>
 
 
 
 
'''Bevor wir zum nächsten Kapitel gehen, hast du hier noch einmal die Möglichkeit alles wichtige zusammengefasst zu wiederholen:'''
 
{{versteckt|
 
 
{{Merksatz|MERK= Die Graphen von Funktionen mit der Funktionsgleichung <math>f(x)=x^2</math> heißen '''Parabeln'''.
 
 
Sie sind '''symmetrisch zur y-Achse.''' Der Punkt <math>S(0\!\,|\!\,0)</math> heißt '''Scheitel der Parabel''' und ist der tiefste Punkt.
 
 
Ist '''a=1''' heißt der dazugehörige Graph '''Normalparabel'''. <br\>
 
Ist '''a>0''', dann ist die Parabel enger ('''gestreckt''') als die Normalparabel.<br\>
 
Für '''0< a < 1''' ist die Parabel weiter ('''gestaucht''') als die Normalparabel.<br\>
 
Ist a '''negativ''', so ist die Parabel '''nach unten geöffnet'''.
 
}}
 
}}
 
<br />
 
'''Alles klar?''' Dann kann's ja weitergehen.
 
<div algin="left">[[Variationen/Quadratische Funktionen2/Quadratische Funktionen und der Parameter c|<math>\Rightarrow</math> nächstes Kapitel]]</div>
 
 
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<div align="left">[[Variationen/Quadratische Funktionen2/Einstieg|<math>\Leftarrow</math> Zurück zur WM 2006]]</div>
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<big><div algin="left">[[Variationen/Quadratische Funktionen2/Übungen zu a|<math>\Rightarrow</math> Nächste Seite]]</div></big>
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<div align="left">[[Variationen/Quadratische Funktionen2|<math>\Leftarrow</math> Zurück zur Übersicht]]</div>
 
<div align="left">[[Variationen/Quadratische Funktionen2|<math>\Leftarrow</math> Zurück zur Übersicht]]</div>

Aktuelle Version vom 9. März 2010, 01:58 Uhr

1. Fußball-WM 2006 - Wasserverbrauch | 2. Quadratische Funktionen und Klippenspringen | 3. Übungen | 4. Quadratische Funktionen und Volleyball | 5. Quadratische Funktionen und Fußball | 6. Quadratische Funktionen und Basketball | 7. Endspurt


Quadratische Funktionen und Klippenspringen

Auf der rechten Seite ist eine andere quadratische Funktion abgebildet. Ihr Funktionsterm hat die Form . Wie wir schon festgestellt haben, unterscheiden sich die Graphen quadratischer Funktionen stark von den Graphen linearer Funktionen.


Hier erfährst du alle wichtigen Merkmale der quadratischen Funktion:

Maehnrot.jpg
Merke:

Die Graphen von Funktionen mit der Funktionsgleichung f(x)=x² heißen Parabeln.

Sie lassen sich auch in der Form y=x² darstellen.

Sie sind symmetrisch zur y-Achse. Der Punkt S(0\!\,|\!\,0) heißt Scheitel der Parabel und ist der tiefste Punkt.


Schön, nun wissen wir, dass wir es mit Parabeln zu tun haben. Diese sind jedoch nicht immer in der starren Form f(x)=x² dargestellt. In der folgenden Aufgabe kannst du diese Parabel durch Schieben des Punktes auf dem Schieberegler Schieberegler.bmp verändern. Aber sieh dir das selbst mal an.




Aufgabe 5


Laufzettel.png Notiere eine mögliche Sprungbahn auf deinem Laufzettel!

Bei der Suche nach einer passenden Sprungbahn ist dir sicherlich aufgefallen, dass sich der Name der Funktion geändert hat. Vor dem x² ist plötzlich eine Zahl erschienen. Unsere Funktion erhält also eine neue Gleichung: f(x)=ax^2. Mit der Manipulation des Schiebereglers hast du den Parameter a verändert. Die Auswirkungen von unterschiedlichen Werten für a kannst du in der nebenstehenden Abbildung noch einmal testen.


Aufgabe 6

Hast du mit a etwas experimentiert?
Dann wird es dir jetzt nicht mehr schwer fallen, diese Sätze zu vervollständigen.

Ist a = 1, so nennt man den Graphen Normalparabel. Ist a > 1, dann ist die Parabel enger (gestreckt) als die Normalparabel. Für 0 < a < 1 ist die Parabel weiter (gestaucht) als die Normalparabel. Ist a negativ, so ist die Parabel nach unten geöffnet .

Hast du die Aufgabe gelöst? Präge dir die jeweilige Auswirkung von a gut ein!




Laufzettel.png Bewerte die Aufgaben jetzt auf deinem Laufzettel!

Mit deinen neugewonnenen Erkenntnissen kannst du die nächsten Aufgaben lösen.


\Rightarrow Nächste Seite



\Leftarrow Zurück zur Übersicht