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Zuletzt geändert von Holger Engels am 2025/03/13 07:51
Von Version 34.1
bearbeitet von Martin Rathgeb
am 2025/02/25 14:47
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 43.1
bearbeitet von Martin Rathgeb
am 2025/02/25 17:40
Änderungskommentar: Neues Bild 2^x und 8.svg hochladen

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... ... @@ -8,7 +8,9 @@
8 8  [[Kompetenzen.K4]] [[Kompetenzen.K6]] Ich kann die Lösungen einer Exponentialgleichung als Schnittstelle zweier Funktionen interpretieren
9 9  
10 10  Aufgaben:
11 -- Vokabelheft für Umkehroperationen
11 +– Logarithmus: graphisches Ermitteln vs. Operator
12 +Lösen von Exponentialgleichungen:
13 +– Vokabelheft für Umkehroperationen
12 12  – Umkehrung der Rechenoperationen (Logarithmieren!) zzgl. Grundrechenarten
13 13  – Faktorisierung durch Ausklammern und Satz vom Nullprodukt zzgl. Grundrechenarten
14 14  – Substitution (abc-Formel, pq-Formel, Typ I) zzgl. Grundrechenarten
... ... @@ -19,6 +19,14 @@
19 19  x*y = e --> y = e / x
20 20  e^y = x --> y = ln(x)
21 21  
24 +{{aufgabe id="Logarithmus" afb="I" kompetenzen="K5" quelle="Elke Hallmann, Martin Rathgeb, Dirk Tebbe" cc="BY-SA" zeit="5"}}
25 +Bilde für {{formula}} a, b, c \in \{2; 3; 4; \ldots; 16\} {{/formula}} möglichst viele Gleichungen der folgenden Typen:
26 +(% class="abc" %)
27 +1. {{formula}} c = a^b {{/formula}}
28 +1. {{formula}} c = \sqrt[a]{b} {{/formula}}
29 +1. {{formula}} c = \log_a(b) {{/formula}}
30 +{{/aufgabe}}
31 +
22 22  {{aufgabe id="Exponentialgleichungen (Logarithmieren)" afb="I" kompetenzen="K5" quelle="Niklas Wunder" cc="BY-SA" zeit="5"}}
23 23  Bestimme die Lösungsmenge der folgenden Exponentialgleichungen:
24 24  (% class="abc" %)
2^x und 8.svg
Author
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1 +XWiki.martinrathgeb
Größe
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1 +6.7 KB
Inhalt
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