Year 13 WJEC Physics: Summer Preparation and Bridging Course | Year 13 WJEC 物理：暑期预习与衔接课程

📚 Year 13 WJEC Physics: Summer Preparation and Bridging Course | Year 13 WJEC 物理：暑期预习与衔接课程

Welcome to the Year 13 WJEC Physics Summer Preparation and Bridging Course. This guide is designed to help you consolidate your AS knowledge, address common weaknesses, and introduce the key topics you will encounter in the A2 year. Physics at this level requires not only conceptual understanding but also strong mathematical and analytical skills. Use this summer to build a solid foundation for success.

欢迎参加 Year 13 WJEC 物理暑期预习与衔接课程。本指南旨在帮助你巩固 AS 阶段的知识，弥补常见弱项，并预习将在 A2 学年遇到的重点课题。这一阶段的物理学习不仅需要概念理解，还需要扎实的数学和分析能力。利用这个暑期为成功打下坚实基础。

1. Reflecting on Year 12 Key Concepts | 回顾 Year 12 核心概念

Start by revisiting the core modules of the AS specification. In mechanics, focus on equations of motion (v = u + at, s = ut + ½at², v² = u² + 2as), projectile motion, moments, and work–energy principles.

从复习 AS 课程标准中的核心模块开始。力学方面，重点关注运动方程（v = u + at, s = ut + ½at², v² = u² + 2as）、抛体运动、力矩和功–能原理。

In waves, grasp the concepts of superposition, stationary waves, and the double-slit experiment. For electricity, ensure you can analyse circuits with internal resistance, use of potentiometers, and understand resistivity.

波动方面，掌握叠加原理、驻波以及双缝实验。电学方面，确保能分析含内阻的电路，会使用电位差计，并理解电阻率。

Materials science includes stress–strain graphs and Young modulus. A solid review now will make bridging to A2 topics smoother. Create summary notes of each AS topic and test yourself with past-paper questions.

材料科学包括应力–应变图和杨氏模量。现在扎实的复习将使向 A2 课题的过渡更加顺利。为每个 AS 课题创建总结笔记，并用历年考题进行自测。

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

2. Mathematical Skills for Physics | 物理必备数学技能

Physics in Year 13 makes greater use of calculus notation. You will need to interpret d/dt, d²/dt², and recognise that velocity is dx/dt, acceleration is dv/dt or d²x/dt².

Year 13 的物理更多地使用微积分符号。你需要理解 d/dt、d²/dt²，并认识到速度是 dx/dt，加速度是 dv/dt 或 d²x/dt²。

Familiarity with exponential functions (eˣ) and natural logarithms (ln) is essential for decay processes. Revise trigonometric identities and small-angle approximations (sin θ ≈ θ, tan θ ≈ θ for small θ) which are crucial for simple harmonic motion.

熟悉指数函数（eˣ）和自然对数（ln）对于衰变过程至关重要。复习三角恒等式以及小角度近似（当 θ 很小时，sin θ ≈ θ, tan θ ≈ θ），这些在简谐运动中很关键。

Also practise rearranging complex equations and using log-linear graphs. You must be comfortable converting units, handling significant figures, and calculating percentage uncertainties.

同时练习复杂方程的重组和使用对数–线性图。你必须熟练掌握单位换算、有效数字处理和百分比不确定度的计算。

if y = eᵏˣ then dy/dx = k eᵏˣ    ∫ eᵏˣ dx = (1/k) eᵏˣ

3. Circular Motion: The Bridge to SHM | 圆周运动：通往简谐运动的桥梁

Many Year 12 courses introduce circular motion. In A2, it becomes the foundation for SHM. Review angular displacement, angular velocity (ω = 2π/T = 2πf), and the relationships v = ωr, a = v²/r = ω²r.

许多 Year 12 课程介绍了圆周运动。在 A2 中，它成为简谐运动的基础。复习角位移、角速度（ω = 2π/T = 2πf）以及关系式 v = ωr, a = v²/r = ω²r。

The direction of centripetal acceleration is towards the centre. Remember that a resultant force towards the centre is required, provided by tension, gravity, friction, etc.

向心加速度的方向指向圆心。要记住需要一个指向圆心的合力，可由张力、重力、摩擦力等提供。

Understand how the projection of uniform circular motion onto a diameter gives simple harmonic motion. Specifically, if a particle moves in a circle of radius A with constant angular speed ω, its x-projection follows x = A cos(ωt), which is the defining characteristic of SHM.

理解匀速圆周运动在直径上的投影如何产生简谐运动。具体来说，如果一个粒子以恒定角速度 ω 在半径为 A 的圆上运动，其 x 投影遵循 x = A cos(ωt)，这就是简谐运动的定义特征。

4. Introduction to Simple Harmonic Motion (SHM) | 简谐运动入门

Simple harmonic motion is a core A2 topic. The defining equation is a = −ω²x, where ω is the angular frequency. The displacement x can be described by x = A cos(ωt) or A sin(ωt), depending on initial conditions.

简谐运动是 A2 核心课题。定义方程为 a = −ω²x，其中 ω 为角频率。位移 x 可表示为 x = A cos(ωt) 或 A sin(ωt)，取决于初始条件。

Velocity as a function of displacement is v = ±ω√(A² − x²). For a mass-spring system, T = 2π√(m/k); for a simple pendulum, T = 2π√(l/g).

速度与位移的关系为 v = ±ω√(A² − x²)。对于弹簧振子，T = 2π√(m/k)；对于单摆，T = 2π√(l/g)。

Energy continually interchanges between kinetic and potential, with total energy remaining constant (E = ½mω²A²). Be sure to understand graphical representations of x, v, a against time, and phase differences:

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