Die Eigenschaften der Proportionalität nach Fricke: Unterschied zwischen den Versionen

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==Vervielfachungseigenschaft==
 
==Vervielfachungseigenschaft==
  
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Wenn der x-Wert vervielfacht wird, wird der y-Wert mit dem gleichen Faktor vervielfacht
 
Wenn der x-Wert vervielfacht wird, wird der y-Wert mit dem gleichen Faktor vervielfacht
  

Version vom 8. November 2011, 16:13 Uhr

Inhaltsverzeichnis

Vervielfachungseigenschaft

Wenn der x-Wert vervielfacht wird, wird der y-Wert mit dem gleichen Faktor vervielfacht


oder


wenn x2=b·x1 dann y2=b·y1


oder


x2 \div x1 = y2 \div y1


--Löwenzahn 18:36, 5. Nov. 2011 (CET)

Summeneigenschaft

"Die Summe zweiter Größen des einen Bereichs entspricht immer die Summe der zugeordneten Größen des anderen Bereichs" (Fricke)


oder


x1 + x2 → y1 + y2


oder


f(x1 + x2) → f(x1) + f(x2)


oder


wenn x1 + x2 = x3 dann y1 + y2 = y3


--Löwenzahn 18:40, 5. Nov. 2011 (CET)

Mittelwerteigenschaft

"Dem Mittelwert zweier Größen des einen Bereiches entspricht immer der Mittelwert der zugeordneten Größen des anderen Bereiches" (Fricke)


oder


(x1 + x2) \div 2 → (y1 + y2) \div 2


--Löwenzahn 18:46, 5. Nov. 2011 (CET)

Quotienteneigenschaft

Abstandseigenschaft

Differenzenqoutienteneigenschaft

Von „http://geometrie.zum.de/index.php?title=Die_Eigenschaften_der_Proportionalität_nach_Fricke&oldid=9261“