Summary
Zusammenfassung Geometrie Mathematik Abitur
- Course
- Institution
Diese Zusammenfassung enthält alle wichtigen Bereiche zum Teil Geometrie, welcher ein wichtiger Teil des Mathematikabiturs ist.
[Show more]
Seller
Follow
johannamoedl123
Content preview
Geometrie Mathematik Abitur 2023Skalarprodukt: a°b= a1b1 + a2b2 + a3b3
—> Länge eines Vektors /a/ = Wurzel a°a = Wurzel a1^2 + a2^2 + a3^2
—> Senkrechte Lage zweier Vektoren
—> Winkel zwischen zwei Vektoren: cos q
Kreuzprodukt: axb= ...
—> ein zu zwei Vektoren senkrechter Vektor c= axb
—> Flächeninhalt eines Parallelograms /axb/
—> Volumen eines Spats/ dreiseitige Pyramide /a°(bxc)/ bzw. 1/6 * /a°(bxc)
Geraden: g: x= A + u * AB
—> Parallel zur x1x2-Ebene, wenn x3=0 (1/1/0)
—> Parallel zur x1x3-Ebene, wenn x2=0 (1/0/1)
—> Parallel zur x2x3-Ebene, wenn x1=0 (0/1/1)
—> Parallel zur x1-Achse: (1/0/0); x2-Achse: (0/1/0); x3-Achse: (0/0/1)
Ebenen: E: x= A + u * AB + v * AC (Parameterform)
E: n1x1 + n2x2 + n3x3 + n0 = 0 (Normalenform)
—> Parallel zur x1x2-Ebene, wenn n= a*(0/0/1)
—> Parallel zur x1x3-Ebene, wenn n= a*(0/1/0)
—> Parallel zur x2x3-Ebene, wenn n= a*(1/0/0)
—> Parallel zur x1-Achse: x1 von n=0, zur x2-Achse: x2 von n=0, zur x3-Achse: x3 von n=0
Lage zweier Geraden:
Lage einer Gerade zu einer Ebene:
Lage zweier Ebenen:
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller johannamoedl123. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $5.93. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
67866 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now