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Analytic geometry

Planes and distances

Plane equations, relative positions, distances, reflection and families of planes — up to Abitur+

Final two years of upper secondary school and exam preparation, basic and advanced level.

The booklet starts with plane equations and relative positions. The chapter on distances covers point and plane via the Hesse normal form, point and line via the foot of the perpendicular, skew lines, and parallel planes and lines. It continues with the foot of the perpendicular and reflection, and with families of planes. The chapters Application, Abitur, Transfer and Abitur+ raise the level step by step. Every problem comes with two hints, an approach, the full solution and the typical mistake.


§01Preview

Actual pages from the product, unaltered.

  • Cover: Planes and distances
  • Problem page from the chapter Plane equations
  • Solution page with hints, approach, full solution and typical mistake

§02Contents

  1. 01Plane equations1–5/6
  2. 02Relative positions1–5/6
  3. 03Distances1–5/6
  4. 04Foot of the perpendicular and reflection1–5/6
  5. 05Families of planes1–5/6
  6. 06Application3/6
  7. 07Abitur4/6
  8. 08Transfer5/6
  9. 09Abitur+6/6

§03Distribution of problems

How many problems sit at each level. If you are catching up on foundations, read the figures at 1 and 2; if you are working towards the final exam, those at 4 to 6.

1
Foundations
11
2
Standard
57
3
Application
10
4
Exam level
10
5
Transfer
26
6
Beyond exam level
10

Problems124

§04Topics

  • Relative position
  • Distances
  • Planes

§05Curriculum reference

No curriculum reference has been recorded for this product yet.

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