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Edexcel A Level Maths: Pure:复习笔记2.2.1 Quadratic Graphs
Quadratic Graphs What are quadratic graphs? The general equation of a quadratic graph is Their shape is called a parabola ("U" shape) Positive quadratics have a value of so the parabola is uprigh...
Edexcel A Level Maths: Pure:复习笔记2.1.3 Surds - Rationalising the Denominator
Surds - Rationalising the Denominator What does it mean to rationalise a denominator? Rationalising a denominator changes a fraction with surds in its denominator, into an equivalent fraction where...
Edexcel 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 to know ...
Edexcel 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 expressions inv...
Edexcel 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 do I do...
Edexcel 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 counter-exam...
Edexcel 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...
Edexcel 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 Y...
Edexcel 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 in pro...
Edexcel A Level Maths: Mechanics:复习笔记4.1.5 Using Moments - Harder
Moments - Ladder Problems How do I model ladder problems? We can model the ladder as a rod There will be two (likely different) reaction forces a vertical reaction force Rf between the bottom of th...
Edexcel 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 walking a pl...
