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IB DP Maths: AA HL復習筆記3.11.4 Shortest Distances with Planes

Category: IB課程, 教材筆記, 福利干貨 Date: 2022年7月12日 下午6:29

Shortest Distance Between a Line and a Plane

How do I find the shortest distance between a given point on a line and a plane?

  • The shortest distance from any point on a line to a plane will always be the?perpendicular?distance from the point to the plane

How do I find the shortest distance between a plane and a line parallel to the plane?

  • The shortest distance between a line and a plane that are parallel to each other will be the?perpendicular?distance from the line to the plane

Exam Tip

  • Vector planes questions can be tricky to visualise, read the question carefully and sketch a very simple diagram to help you get started

Worked Example

3-11-4-ib-hl-aa-shortest-dist-two-planes-we-1

Shortest Distance Between Two Planes

How do I find the shortest distance between two parallel planes?

  • Two?parallel?planes will never intersect
  • The shortest distance between two?parallel planes?will be the?perpendicular distance?between them

Exam Tip

  • There are a lot of steps when answering these questions so set your methods out clearly in the exam

Worked Example

3-11-4-ib-hl-aa-short-dist-two-planes-we-solution-2

 

 

 

 

 

轉載自savemyexams

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