AS Mathematics: End-of-Term Revision Checklist | AS 数学：期末复习提纲

📚 AS Mathematics: End-of-Term Revision Checklist | AS 数学：期末复习提纲

A well-structured revision checklist is essential for AS Mathematics end-of-term success. This guide summarises the core topics across pure mathematics, statistics and mechanics, helping you identify key formulas, concepts and problem-solving strategies. Use it to track your progress and focus on areas that need extra practice.

一份结构清晰的复习提纲对于 AS 数学期末成功至关重要。本指南总结了纯数学、统计与力学的核心专题，帮助你梳理关键公式、概念与解题策略。你可以用它来跟踪复习进度，并集中攻克薄弱环节。

1. Algebra and Functions | 代数与函数

Mastering quadratic equations is fundamental. The discriminant Δ = b² – 4ac determines the nature of roots. Solve quadratics by factorisation, completing the square, or the quadratic formula x = [-b ± √(b² – 4ac)] / (2a). Always check whether the inequality sign flips when multiplying or dividing by a negative number.

熟练掌握二次方程是基础。判别式 Δ = b² – 4ac 决定根的性质。可通过因式分解、配方法或求根公式 x = [-b ± √(b² – 4ac)] / (2a) 求解。当不等式两边乘以或除以负数时，务必注意不等号方向改变。

Function notation, domain and range are common exam pitfalls. Understand how to form composite functions fg(x) and find inverse functions f⁻¹(x) by swapping x and y. Always state the domain of the inverse

Published by TutorHao | Mathematics Revision Series | aleveler.com

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