Änderungen von Dokument BPE 1 Einheitsübergreifend
Zuletzt geändert von Holger Engels am 2025/01/12 21:23
Von Version 116.1
bearbeitet von Holger Engels
am 2025/01/12 21:23
am 2025/01/12 21:23
Änderungskommentar:
Neues Bild Arithmagon Lineare Funktionen Formen.svg hochladen
Auf Version 94.1
bearbeitet von Martin Rathgeb
am 2025/01/11 22:47
am 2025/01/11 22:47
Änderungskommentar:
Neues Bild rhombus_with_lighter_colors.png hochladen
Zusammenfassung
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Seiteneigenschaften (2 geändert, 0 hinzugefügt, 0 gelöscht)
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Anhänge (0 geändert, 2 hinzugefügt, 2 gelöscht)
Details
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- Dokument-Autor
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... ... @@ -1,1 +1,1 @@ 1 -XWiki. holgerengels1 +XWiki.martinrathgeb - Inhalt
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... ... @@ -1,21 +1,16 @@ 1 1 {{aufgabe id="Arithmagon Darstellungsformen" afb="II" kompetenzen="K2, K4" tags="problemlösen" quelle="Martin Rathgeb" cc="BY-SA" zeit="8"}} 2 2 (% class="abc" %) 3 3 1. (((Fülle in folgenden Darstellungsformen einer Geraden die Lücken. 4 -[[image:rhombus_with_ lighter_colors.svg||width="500"]]4 +[[image:rhombus_with_no_cropping_and_fixed_equation.png||width="500"]] 5 5 ))) 6 6 1. (((Nenne die Werte der charakteristischen Größen der Geraden: 7 -1. ((( 8 -(% class="border" %) 9 -|**Lage der Geraden** |Abschnitt |Schnittpunkt 10 -|y-Achse |{{formula}}b={{/formula}} |{{formula}}S_y(\qquad|\qquad){{/formula}} 11 -|x-Achse |{{formula}}x_0={{/formula}} |{{formula}}S_x(\qquad|\qquad)=N{{/formula}} 7 +1. (((//Lage//. 8 +i. y-Achsenabschnitt {{formula}}b{{/formula}} mit y-Achsenschnittpunkt {{formula}}S_y{{/formula}} 9 +ii. x-Achsenabschnitt {{formula}}x_0{{/formula}} mit x-Achsenschnittpunkt {{formula}}S_x=N{{/formula}} 12 12 ))) 13 -1. ((( 14 -(% class="border" %) 15 -|**Kovariation des linearen Zusammenhangs** | Parameterwert bzw. Beschreibung 16 -|Monotonie | 17 -|Steigung |{{formula}}m=\hspace{1cm}{{/formula}} 18 -|Krümmung |{{formula}}\qquad{{/formula}} 11 +1. (((//Kovariation//. 12 +i. Steigung {{formula}}m{{/formula}} 13 +ii. Krümmung 19 19 ))) 20 20 ))) 21 21 {{/aufgabe}} ... ... @@ -23,11 +23,11 @@ 23 23 {{aufgabe id="Formen von Geradengleichungen" afb="II" kompetenzen="K2, K4" quelle="Martin Rathgeb" cc="BY-SA" zeit="12"}} 24 24 In der Literatur werden folgende Formen der Geradengleichung unterschieden, wobei {{formula}}P(x_P|y_P){{/formula}} ein beliebiger Punkt der Geraden sei; vgl. Merkhilfe, S. 3 und 5. 25 25 (% class="border slim" %) 26 -|Hauptform |{{formula}}y=m\cdot x+b{{/formula}} |(Spezialfall der PSF {{formula}}x_P=0{{/formula}})27 -|Punkt-Steigungs-Form (PSF)|{{formula}}y=m\cdot (x-x_P)+y_P{{/formula}}|28 -|Produktform |{{formula}}y=m \cdot (x-x_0){{/formula}} |(Spezialfall der PSF {{formula}}y_P=0{{/formula}})29 -|Achsenabschnittsform |{{formula}}\frac{x}{x_0}+\frac{y}{y_0}=1{{/formula}} |(hier: normiert)30 -|Allgemeine Form |{{formula}} Ax +B y + C = 0{{/formula}}|(hier: nichtnormiert,aber{{formula}}=0{{/formula}})21 +|Hauptform |{{formula}}y=m\cdot x+b{{/formula}} 22 +|Punkt-Steigungs-Form |{{formula}}y=m\cdot (x-x_P)+y_P{{/formula}} 23 +|Produktform |{{formula}}y=m \cdot (x-x_0){{/formula}} 24 +|Achsenabschnittsform |{{formula}}\frac{x}{x_0}+\frac{y}{y_0}=1{{/formula}} 25 +|Allgemeine Form |{{formula}}\alpha \cdot x + \beta \cdot y + \gamma = 0{{/formula}} 31 31 32 32 (% class="abc" %) 33 33 1. (((Bestimme für jede Gleichungsform {{formula}}\ldots{{/formula}}
- Arithmagon Lineare Funktionen Formen.svg
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- Author
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... ... @@ -1,1 +1,0 @@ 1 -XWiki.holgerengels - Größe
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... ... @@ -1,1 +1,0 @@ 1 -22.8 KB - Inhalt
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... ... @@ -1,1 +1,0 @@ 1 -XWiki.martinrathgeb - Größe
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... ... @@ -1,1 +1,0 @@ 1 -15.8 KB - Inhalt
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