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AQA A Level Maths: Pure復(fù)習(xí)筆記1.1.2 Proof by Deduction

Category: A-level課程, 教材筆記, 福利干貨 Date: 2022年7月18日 下午4:21

Proof by Deduction

 

What is proof by deduction?

  • Proof by deduction is when a mathematical and logical argument is used to shows whether or not a result is true

How to do proof by deduction

 

1.1.2-Proof-by-Deduction-Notes-Diagram-1

You may also need to:

  • Write multiples of?n?in the form?kn?for some integer?k
  • Use algebraic techniques, showing logical steps of simplifying
  • Use correct mathematical notation

 

Sets of numbers

  • ? - the set of?natural numbers
  • ? - the set of?integers
  • ? - the set of?quotients/rational numbers
  • ? - the set of?real numbers

1.1.2-Proof-by-Deduction-Notes-Diagram-2

 

Exam Tip

  • Try the result you are proving with a few values
    • Use a sequence of them (eg 1, 2, 3)
    • Try different types of numbers (positive, negative, zero)
  • This may help you see a pattern and spot what is going on

Worked Example

1.1.2-Proof-by-Deduction-Example-1

 

 

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