Änderungen von Dokument BPE 1.4 Lineare Funktionen
Zuletzt geändert von Holger Engels am 2024/11/20 21:57
Von Version 34.2
bearbeitet von Holger Engels
am 2024/09/29 11:17
am 2024/09/29 11:17
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Auf Version 29.1
bearbeitet von Holger Engels
am 2024/07/21 19:22
am 2024/07/21 19:22
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Zusammenfassung
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... ... @@ -9,26 +9,17 @@ 9 9 [[Kompetenzen.K5]] Ich kann die Lösungsmengen linearer Ungleichungen mit Äquivalenzumformungen ermitteln 10 10 [[Kompetenzen.K5]] Ich kann die Lagebeziehung zweier Geraden anhand ihrer Gleichungen und der Orthogonalitätsbedingung untersuchen 11 11 12 -{{lernende}} 13 -[[Interaktive Erkunden>>https://kmap.eu/app/browser/Mathematik/Lineare%20Funktionen/Hauptform#erkunden]] 14 -{{/lernende}} 12 +{{lernende}}Links auf Selbstlernmaterial{{/lernende}} 15 15 16 -{{aufgabe id="Besondere Geraden" afb="I" kompetenzen="K4, K5" quelle="Holger Engels" cc="BY-SA" zeit="4"}} 17 -[[image:geraden.svg||style="float: right; width: 250px"]]Das Schaubild zeigt vier Geraden. Alle können als Gleichung ausgedrückt werden. Drei stellen auch einen funktionalen Zusammenhang dar. 18 - 19 -Gib jeweils eine Geradengleichungen und soweit möglich auch einen Funktionsterme an. 20 - 21 -Begründe, warum die vierte Gerade nicht Graph einer Funktion sein kann. 22 -{{/aufgabe}} 23 - 24 -{{aufgabe id="Taxifahrt" afb="I" kompetenzen="K4, K5" quelle="Sabine Schäfer" cc="BY-SA" zeit="5"}} 14 +{{aufgabe id="Taxifahrt" afb="I" kompetenzen="K4" "K5" quelle="Sabine Schäfer" cc="BY-SA" zeit="5"}} 25 25 Stellen Sie folgende Situation grafisch dar und bestimmen Sie eine Gleichung, die den Sachverhalt ebenfalls beschreibt. 26 26 27 27 Für eine Taxifahrt fallen zunächst 5 Euro für die Anfahrt an. Dazu kommen pro angefangener gefahrener Minute 0,75 Euro. 28 28 Es werden Fahrten von 5 Minuten, 10 Minuten und 15 Minuten durchgeführt. 19 + 29 29 {{/aufgabe}} 30 30 31 -{{aufgabe id="Funktionsvorschriften zuordnen" afb="I" kompetenzen="K4 ,K5" quelle="Sabine Schäfer" cc="BY-SA" zeit="5"}}22 +{{aufgabe id="Funktionsvorschriften zuordnen" afb="I" kompetenzen="K4" "K5" quelle="Sabine Schäfer" cc="BY-SA" zeit="5"}} 32 32 [[image:sb geraden.png||style="float: right" width="400"]]Das Schaubild zeigt die Graphen von linearen Funktionen. Ordne die folgenden Funktionsvorschriften begründet zu. 33 33 34 34 a) {{formula}}f\left(x\right)=x-1;x\in\mathbb{R} {{/formula}} ... ... @@ -39,7 +39,7 @@ 39 39 f) {{formula}}f\left(x\right)=2 - 2x;x\in\mathbb{R}{{/formula}} 40 40 {{/aufgabe}} 41 41 42 -{{aufgabe id="Abstand Graph Koordinatenursprung" afb="I" kompetenzen="K1,K2,K4,K5" quelle="[[IQB>>https://www.iqb.hu-berlin.de/abitur/pools2023/abitur/pools2023/mathematik/grundlegend/2023_M_grundlege_7.pdf]]" niveau="g" tags="iqb"}} 33 +{{aufgabe id="Abstand Graph Koordinatenursprung" afb="I" kompetenzen="K1, K2,K4,K5" quelle="[[IQB>>https://www.iqb.hu-berlin.de/abitur/pools2023/abitur/pools2023/mathematik/grundlegend/2023_M_grundlege_7.pdf]]" niveau="g" tags="iqb"}} 43 43 [[image:Graph0,5x+5.PNG||width="220" style="float: right"]] 44 44 Die Abbildung zeigt den Graphen der in {{formula}}\mathbb{R}{{/formula}} definierten linearen Funktion {{formula}} f{{/formula}}. 45 45 1. Begründe, dass {{formula}}f(x)=\frac{1}{2}x+5{{/formula}} gilt.
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... ... @@ -1,1 +1,0 @@ 1 -XWiki.holgerengels - Größe
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