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Zuletzt geändert von Holger Engels am 2026/02/27 15:13
Von Version 21.1
bearbeitet von Holger Engels
am 2025/12/17 07:51
Änderungskommentar: Löschung des Bildes Untersumme_1.png
Auf Version 32.1
bearbeitet von Nila Nurschams
am 2026/02/27 15:02
Änderungskommentar: Neues Bild Photovoltaik.png hochladen

Zusammenfassung

Details

Seiteneigenschaften
Dokument-Autor
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1 -XWiki.holgerengels
1 +XWiki.nilanurschams
Inhalt
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12 12  Siehe dazu [[Rekonstruktion einer Größe>>https://kmap.eu/app/browser/Mathematik/Integralrechnung/Rekonstruktion%20einer%20Gr%C3%B6%C3%9Fe]] und [[Obersumme/Untersumme interaktiv>>https://kmap.eu/app/browser/Mathematik/Integralrechnung/Obersumme%20und%20Untersumme#erkunden]]
13 13  {{/lernende}}
14 14  
15 +Deu­tung des be­stimm­ten In­te­grals (Be­stands­re­kon­struk­ti­on, z. B. zu­rück­ge­leg­te Stre­cke bei ver­än­der­li­cher Ge­schwin­dig­keit, Flä­che)
16 +ge­krümm­te Rand­funk­ti­on
17 +Nä­he­rungs­wei­se Be­rech­nung von In­te­gra­len (z. B. Käst­chen­zäh­len, Ober- und Un­ter­sum­me)
18 +Ori­en­tier­ter Flä­chen­in­halt (z. B. Zu- und Ab­fluss­men­ge)
19 +Ei­gen­schaf­ten des be­stimm­ten In­te­grals (In­ter­val­l­ad­di­ti­vi­tät, Li­nea­ri­tät des In­te­grals, In­te­gral­wert ist Null bei un­ge­ra­den Funk­tio­nen und zu x=0 sym­me­tri­schen In­te­gra­ti­ons­gren­zen)
20 +
15 15  {{aufgabe id="Gefäß" afb="I" kompetenzen="K4" quelle="[[KMap>>https://kmap.eu/app/browser/Mathematik/Integralrechnung/Rekonstruktion%20einer%20Gr%C3%B6%C3%9Fe]]" zeit="5"}}
16 -**Aufgabenentwurf**
17 17  Ein Gefäß sei zu Beginn der Beobachtung mit //10 l// gefüllt. Es wird folgender Zufluss/ Abluss beobachtet:
18 -[[image:Gefäß.svg]]
23 +
24 +[[image:Gefäß.svg||class=center width=600]]
25 +
19 19  Bestimme den Füllstand nach diesen Veränderungen.
20 20  {{/aufgabe}}
21 21  
29 +{{aufgabe id="Fahrstrecke" afb="I" kompetenzen="K4" quelle="[[KMap>>https://kmap.eu/app/browser/Mathematik/Integralrechnung/Rekonstruktion%20einer%20Gr%C3%B6%C3%9Fe]]" zeit="5"}}
30 +[[image:Fahrstrecke.svg||class="right" width=500]]Das Schaubild zeigt den Geschwindigkeitsverlauf während einer Autofahrt.
31 +Bestimme die zurückgelegte Strecke.
32 +{{/aufgabe}}
33 +
22 22  {{seitenreflexion bildungsplan="" kompetenzen="" anforderungsbereiche="" kriterien="" menge=""/}}
Gefäß.svg
Größe
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1 -22.5 KB
1 +12.9 KB
Inhalt
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Gefäß.ggb
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1 +XWiki.holgerengels
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1 +48.9 KB
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Photovoltaik.png
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1 +XWiki.nilanurschams
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