Änderungen von Dokument BPE 4.5 Logarithmus und Exponentialgleichungen

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• Seiteneigenschaften (1 geändert, 0 hinzugefügt, 0 gelöscht)

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Inhalt

...	...	@@ -36,12 +36,6 @@
36	36
37	37	{{aufgabe id="Darstellungen zuordnen" afb="I" kompetenzen="K5" quelle="Elke Hallmann, Martin Rathgeb, Dirk Tebbe" cc="BY-SA" zeit="5"}}
38	38	Ordne zu!
39		-(% class="border slim " %)
40		-|Implizite Gleichungen|Explizite Gleichungen|Wertetabellen|Schaubilder
41		-|{{formula}} x^3 = 8 {{/formula}}|{{formula}} x = \sqrt[3]{8=} {{/formula}}|(((
42		-|x|0|1|2|3
43		-|y|0|1|8|27
44		-)))
45	45	(% class="abc" %)
46	46	1. (((Gleichungen (implizite und explizite):
47	47	1. {{formula}} x^3 = 8 {{/formula}}
...	...	@@ -60,8 +60,8 @@
60	60	|y|0|1|8|27
61	61	)))
62	62	1. zwei Graphen
63		-[[image:2^xund8.svg||width="200px"]]
64		-[[image:x^3und8.svg||width="200px"]]
	57	+[[image:8und2^x.svg||width="200px"]]
	58	+[[image:x^3 und 8.svg||width="200px"]]
65	65	{{/aufgabe}}
66	66
67	67	{{aufgabe id="Logarithmen auswerten" afb="II" kompetenzen="K4,K5" quelle="Elke Hallmann, Martin Rathgeb, Dirk Tebbe" cc="BY-SA" zeit="10"}}
...	...	@@ -70,12 +70,12 @@
70	70	[[image:Logarithmus_neu.svg||width="600px"]]
71	71
72	72	(% class="abc" %)
73		-1. {{formula}} \log_{10}(0.1) {{/formula}}
74		-1. {{formula}} \log_{100}(0.1) {{/formula}}
75		-1. {{formula}} \log_{0.1}(0.1) {{/formula}}
	67	+1. {{formula}} \log_{10}(10) {{/formula}}
	68	+1. {{formula}} \log_{100}(10) {{/formula}}
	69	+1. {{formula}} \log_{11}(10) {{/formula}}
76	76	1. {{formula}} \log_{10}(1000) {{/formula}}
77	77	1. {{formula}} \log_{10}(50) {{/formula}}
78		-1. {{formula}} \log_{0.1}(1000) {{/formula}}
	72	+1. {{formula}} \log_{11}(1000) {{/formula}}
79	79	1. {{formula}} \log_{10}(1) {{/formula}}
80	80	1. {{formula}} \log_{100}(10) {{/formula}}
81	81	1. {{formula}} \log_{10}(10) {{/formula}}
...	...	@@ -100,8 +100,8 @@
100	100	|Typ 1 Umkehroperationen|Typ 2 Ausklammern|Typ 3 Substitution
101	101	|{{formula}}x^2 = 2{{/formula}}|{{formula}}x^2-2x = 0{{/formula}}|{{formula}}x^4-40x^2+144 = 0{{/formula}}
102	102	|{{formula}}x^4 = e{{/formula}}|{{formula}}2x^e = x^{2e}{{/formula}}|{{formula}}x^{2x}+x^e+1 = 0{{/formula}}
103		-|{{formula}}e^x = e{{/formula}}|{{formula}}2e^x = e^{2x}{{/formula}}|{{formula}}10^{6x}-2\cdot 10^{3x}+1 = 0{{/formula}}
104		-|{{formula}}3e^x = \frac{1}{2}e^{-x}{{/formula}}|{{formula}}x\cdot 3^x+4\cdot 3^x = 0{{/formula}}|{{formula}}3e^x-1 = \frac{1}{3}e^{-x}{{/formula}}
	97	+|{{formula}}e^x = e{{/formula}}|{{formula}}2e^x = e^{2x}{{/formula}}|2
	98	+|{{formula}}f_4(x){{/formula}}|2|1
105	105	{{/aufgabe}}
106	106
107	107	Nenne eine passende Gleichung. Die Gleichung kann ich nach x auflösen, indem ich {{formula}} \ldots {{/formula}}