AQA A Level Maths: Pure复习笔记2.1.2 Manipulating Surds
Manipulating Surds What are surds? If n is a positive integer and is not a square number, then √n (or any multiple of √n ) is a surd Surds are examples of irrational numbers What do I need t...
AQA A Level Maths: Pure复习笔记2.1.1 Laws of Indices
Laws of Indices What do I need to know about laws of indices? Laws of indices (or index laws – 'index' is the singular, 'indices' is the plural) allow you to simplify and manipulate expressi...
AQA A Level Maths: Pure复习笔记1.2.1 Proof by Contradiction
Proof by Contradiction What is proof by contradiction? A proof by contradiction assumes the opposite result is true Then, through a series of logical steps, shows that this cannot be so How ...
AQA A Level Maths: Pure复习笔记1.1.4 Disproof by Counter Example
Disproof by Counter Example What is disproof by counter-example? Disproof by counter-examples involves finding a value that does not work for the given statement That value is called a count...
AQA A Level Maths: Pure复习笔记1.1.3 Proof by Exhaustion
Proof by Exhaustion What is proof by exhaustion? Proof by exhaustion is a way to show that the desired result works for every allowed value How do I prove a result by exhaustion? Using proof by exh...
AQA A Level Maths: Pure复习笔记1.1.2 Proof by Deduction
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 &n...
AQA A Level Maths: Pure复习笔记1.1.1 Language of Proof
Language of Proof What is proof? Proof is a series of logical steps which show whether a result is true or not for a set of specified numbers e.g. All intigers, all even numbers etc Notation...
AQA A Level Maths: Mechanics复习笔记4.1.4 Tilting
Tilting What does it mean if a rod is on the point of tilting? A rod will tilt (rotate) about a pivot if the resultant moment about that pivot is non-zero Examples of tilting: A person walki...
AQA A Level Maths: Mechanics复习笔记4.1.3 Centres of Mass
Uniform Rods & Laminae What is meant by the centre of mass of an object? The centre of mass of an object is the point at which the weight of the object may be considered to act For a uni...
