Änderungen von Dokument BPE 1 Einheitsübergreifend
Zuletzt geändert von Holger Engels am 2025/01/12 21:23
Von Version 91.1
bearbeitet von Martin Rathgeb
am 2025/01/11 22:28
am 2025/01/11 22:28
Änderungskommentar:
Neues Bild rhombus_with_no_cropping_and_fixed_equation.png hochladen
Auf 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
Zusammenfassung
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Seiteneigenschaften (2 geändert, 0 hinzugefügt, 0 gelöscht)
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Anhänge (0 geändert, 2 hinzugefügt, 1 gelöscht)
Details
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... ... @@ -1,1 +1,1 @@ 1 -XWiki. martinrathgeb1 +XWiki.holgerengels - Inhalt
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... ... @@ -1,20 +1,21 @@ 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 -(% class="border slim" %) 5 -| |{{formula}}y=\square 3\cdot (x-1)+\square{{/formula}} | 6 -|{{formula}}y=\square \cdot (x-2){{/formula}} |Graph: fallende Gerade in KooSyS ohne Skalierung |{{formula}}y=\square \cdot x+\square{{/formula}} 7 -| |{{formula}}\frac{x}{\square}+\frac{y}{\square}=1{{/formula}} | 8 - 4 +[[image:rhombus_with_lighter_colors.svg||width="500"]] 9 9 ))) 10 10 1. (((Nenne die Werte der charakteristischen Größen der Geraden: 11 -1. (((//Lage//. 12 -i. y-Achsenabschnitt {{formula}}b{{/formula}} mit y-Achsenschnittpunkt {{formula}}S_y{{/formula}} 13 -ii. x-Achsenabschnitt {{formula}}x_0{{/formula}} mit x-Achsenschnittpunkt {{formula}}S_x=N{{/formula}} 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}} 14 14 ))) 15 -1. (((//Kovariation//. 16 -i. Steigung {{formula}}m{{/formula}} 17 -ii. Krümmung 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}} 18 18 ))) 19 19 ))) 20 20 {{/aufgabe}} ... ... @@ -22,11 +22,11 @@ 22 22 {{aufgabe id="Formen von Geradengleichungen" afb="II" kompetenzen="K2, K4" quelle="Martin Rathgeb" cc="BY-SA" zeit="12"}} 23 23 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. 24 24 (% class="border slim" %) 25 -|Hauptform |{{formula}}y=m\cdot x+b{{/formula}} 26 -|Punkt-Steigungs-Form |{{formula}}y=m\cdot (x-x_P)+y_P{{/formula}} 27 -|Produktform |{{formula}}y=m \cdot (x-x_0){{/formula}} 28 -|Achsenabschnittsform |{{formula}}\frac{x}{x_0}+\frac{y}{y_0}=1{{/formula}} 29 -|Allgemeine Form |{{formula}} \alpha\cdotx +\beta\cdoty +\gamma =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}}A x + B y + C = 0{{/formula}}|(hier: nicht normiert, aber {{formula}}=0{{/formula}}) 30 30 31 31 (% class="abc" %) 32 32 1. (((Bestimme für jede Gleichungsform {{formula}}\ldots{{/formula}}
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... ... @@ -1,1 +1,0 @@ 1 -XWiki.martinrathgeb - Größe
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... ... @@ -1,1 +1,0 @@ 1 -119.3 KB - Inhalt
- Arithmagon Lineare Funktionen Formen.svg
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... ... @@ -1,0 +1,1 @@ 1 +XWiki.holgerengels - Größe
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... ... @@ -1,0 +1,1 @@ 1 +22.8 KB - Inhalt
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... ... @@ -1,0 +1,1 @@ 1 +XWiki.martinrathgeb - Größe
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... ... @@ -1,0 +1,1 @@ 1 +15.8 KB - Inhalt
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