AS AQA Mathematics Unit 2 Jan 2021 Paper Review | AQA AS数学第二单元2021年1月试卷解析

📚 AS AQA Mathematics Unit 2 Jan 2021 Paper Review | AQA AS数学第二单元2021年1月试卷解析

The January 2021 AQA AS Mathematics Unit 2 paper tested candidates on the applied components of the AS syllabus: mechanics and statistics. This review breaks down the key topics, common mistakes, and effective revision strategies, helping you approach this paper with confidence.

2021年1月AQA AS数学第二单元试卷考查的是AS教学大纲中的应用数学部分：力学和统计。本篇文章将系统梳理核心考点、常见错误和高效复习策略，帮助你自信应对这类试卷。

1. Overview of the Paper | 试卷概览

Unit 2 is the applied mathematics paper in AQA AS Maths. It normally consists of two sections: one on mechanics and one on statistics. In the January 2021 paper, the balance between the two was consistent with the specification, with a mixture of short calculation questions and longer problem-solving questions.

第二单元是AQA AS数学中的应用数学试卷，通常分为两个部分：力学和统计。在2021年1月的试卷中，两部分的比重与考纲一致，包含短计算题和较长的应用题。

• The mechanics section covers kinematics, forces, and Newton’s laws.

  力学部分涵盖运动学、力与牛顿定律。

• The statistics section covers data representation, probability, and discrete random variables.

  统计部分涵盖数据表示、概率与离散随机变量。

2. Mechanics: SUVAT and Kinematics | 力学：SUVAT方程与运动学

Kinematics questions in this paper often give a particle moving along a straight line with constant acceleration. The SUVAT equations are essential.

运动学题通常涉及质点沿直线做匀加速运动。SUVAT方程是核心。

v = u + at
s = ½(u + v)t
s = ut + ½at²
v² = u² + 2as

To select the correct equation, list the known quantities: u, v, a, s, t. If two or more are known, solve for the missing one. Always state and use consistent units: metres, seconds, metres per second, metres per second squared.

物理解题时，先列出已知量：初速度 u、末速度 v、加速度 a、位移 s、时间 t。若其中两个以上已知，即可求解未知量。注意单位统一：米、秒、米/秒、米/秒²。

A displacement-time graph or velocity-time graph may appear. The gradient of a displacement-time graph gives velocity; the gradient of a velocity-time graph gives acceleration, and the area under a velocity-time graph gives displacement. Use these relationships when you are not given a constant acceleration formula.

试卷可能出现位移-时间图或速度-时间图。位移-时间图的斜率为速度；速度-时间图的斜率为加速度，而曲线下的面积为位移。当加速度并非恒定时

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