How to Make the Most of the AQA PH03 Insert | AQA国际物理PH03数据表高效使用指南

📚 How to Make the Most of the AQA PH03 Insert | AQA国际物理PH03数据表高效使用指南

The AQA PH03 International Physics A examination paper comes with an insert booklet containing key equations, constants, and data. This insert is not merely a list of facts; it is a strategic tool that can save time, reduce memorisation burden, and guide your problem-solving approach. In this revision article, we break down the insert section by section, show you how to extract information quickly, and warn you against common traps.

AQA 国际物理 A 考试的 PH03 试卷会附带一份包含关键公式、常数和数据的插入页。这份插入页不仅仅是一个事实清单，更是一个战略性工具，能帮你节省时间、减轻记忆负担，并引导你的解题思路。在这篇复习文章中，我们将逐节剖析插入页，教你如何快速提取信息，并提醒你常见的陷阱。

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1. Know the Structure | 熟悉插入页的结构

The insert is usually divided into three main parts: physical constants, mathematical formulae, and physics equations specific to topics. The exact layout may vary, but the principle remains the same: do not wait until the exam to see it for the first time. Before the exam, print the official insert from your board’s website and annotate it with your own notes.

插入页通常分为三个主要部分：物理常数、数学公式，以及与专题相关的物理方程。具体布局可能略有不同，但原则是相同的：不要在考试时第一次看到它。考试前，从考试局官网下载官方插入页，并加上你自己的批注。

• Constants section: value of gravitational constant, speed of light, charge of electron, etc.

  常数部分：引力常数、光速、电子电荷等数值。

• Mathematical section: trigonometric identities, quadratic formula, calculus basics.

  数学部分：三角恒等式、二次方程求根公式、微积分基础。

• Physics section: equations organised by topic — mechanics, electricity, thermal physics, waves, fields, nuclear.

  物理部分：按主题组织的方程——力学、电学、热学、波、场、原子核。

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2. Unit Conventions and Prefixes | 单位约定与词头

The insert includes metric prefixes such as nano, micro, milli, kilo, mega, giga. You must be able to convert instantly between them. A typical mistake is mixing up \(\text{nm}\) and \(\text{mm}\) — of course, the insert lists prefixes but does not perform the conversion for you.

插入页包含纳、微、毫、千、兆、吉等国际单位制词头。你必须在这些词头之间进行即时换算。一个常见错误是混淆纳米与毫米——插入页虽然列出了词头，但不会替你完成换算。

• pico (p) = 10⁻¹², nano (n) = 10⁻⁹, micro (μ) = 10⁻⁶, milli (m) = 10⁻³.

  皮 (p)=10⁻¹²，纳 (n)=10⁻⁹，微 (μ)=10⁻⁶，毫 (m)=10⁻³。

• kilo (k) = 10³, mega (M) = 10⁶, giga (G) = 10⁹.

  千 (k)=10³，兆 (M)=10⁶，吉 (G)=10⁹。

• When writing answers, always convert to base units before substituting into a formula from the insert.

  在作答时，务必先换算为基本单位，再代入插入页中的公式。

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3. Constants: Carry Them Correctly | 常数：正确携带数值

The insert provides constants to high precision, but exam marking accepts values to two or three significant figures. Do not copy all eight digits from the insert every time — use the same number of significant figures as the data in the question. For example, if a question gives \(v = 3.0 \times 10^8 \text{ m s}^{-1}\) for the speed of light, you should also use two significant figures for other quantities.

插入页提供的常数具有较高的精度等级，但阅卷接受两位或三位有效数字的数值。不要每次都将插入页中的八位数字全部照抄——使用与题目数据一致的有效数字位数。例如，若题目给出光速 \(v = 3.0 \times 10^8 \text{ m s}^{-1}\)，那么其他量也应使用两位有效数字。

• Speed of light, c = 3.00 × 10⁸ m s⁻¹

  光速 c = 3.00 × 10⁸ m s⁻¹

• Gravitational constant, G = 6.67 × 10⁻¹¹ N m² kg⁻²

  引力常数 G = 6.67 × 10⁻¹¹ N m² kg⁻²

• Planck’s constant, h = 6.63 × 10⁻³⁴ J s

  普朗克常数 h = 6.63 × 10⁻³⁴ J s

G = 6.67 × 10⁻¹¹ N m² kg⁻²

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4. Selecting the Right Equation | 选择合适的方程

The insert gives dozens of equations. The skill is to identify which equation connects the known variables to the unknown one. Underline the quantities given in the question, then scan the insert for an equation containing those symbols. If one equation has too many unknowns, look for a second equation to eliminate variables.

插入页提供了几十个方程。关键在于识别哪个方程能将已知量与你需要的未知量联系起来。在题目中给出的量下面划线，然后扫描插入页寻找包含这些符号的方程。如果一个方程未知数太多，就找第二个方程来消元。

Given variables 已知变量	Look for 查找	Typical equation 典型方程
v, u, a, t 初速度、末速度、加速度、时间	v = u + at	v = u + at
F, m, a 力、质量、加速度	F = ma	F = ma

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5. Mechanics and Energy | 力学与能量

For a projectile or collision problem, the insert provides equations of motion and energy relationships. Write down the energy conservation principle first: total initial energy = total final energy + work done against friction. Do not blindly pick the first equation that looks similar.

对于抛体运动或碰撞问题，插入页提供了运动方程和能量关系式。先写下能量守恒原理：总初始能量 = 总末能量 + 克服摩擦力做功。不要盲目选择看起来相似的第一个方程。

• Linear momentum: \(p = mv\)

  动量：p = mv

• Kinetic energy: \(E_k = \frac{1}{2}mv^2\)

  动能：Eₖ = ½mv²

• Work done: \(W = Fs\cos\theta\)

  功：W = Fs cos θ

v² = u² + 2as

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6. Waves and Optics | 波与光学

In wave questions, the insert gives the wave equation \(v = f\lambda\), the diffraction grating equation \(d\sin\theta = n\lambda\), and the Doppler formula. Pay attention to whether the question is about sound or electromagnetic waves — the speed of sound is usually stated, while the speed of light is on the insert.

在波动问题中，插入页给出了波速方程 v = fλ、光栅方程 d sin θ = nλ 以及多普勒频移公式。注意题目涉及的是声波还是电磁波——声速通常在题目中给出，而光速在插入页中。

• For two-source interference, path difference = \(n\lambda\) for constructive interference.

  对于双缝干涉，光程差 = nλ 时为加强干涉。

• For a stationary wave, adjacent nodes are separated by \(\lambda/2\).

  对于驻波，相邻波节间距为 λ/2。

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7. Electricity and Magnetism | 电学与磁学

When using the insert for circuits, always check whether the components are in series or parallel. The insert supplies \(V = IR\), \(P = IV\), and the resistance combination formulae. For magnetism, the force on a conductor is \(F = BIL\sin\theta\) — remember to convert the angle into the correct form.

使用插入页进行电路计算时，务必检查元件是串联还是并联。插入页提供了 V = IR、P = IV 以及电阻组合公式。对于磁学，导体受力为 F = BIL sin θ——记得将角度换算成正确形式。

Series 串联	Parallel 并联
R_total = R₁ + R₂ + …	1/R_total = 1/R₁ + 1/R₂ + …
V splits, I same 电压分配，电流相同	V same, I splits 电压相同，电流分配

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8. Thermal Physics | 热学

The insert includes the ideal gas law \(pV = nRT\), internal energy, and specific heat capacity. In PH03, you may also need to calculate entropy change. Use the insert’s value of the molar gas constant, \(R = 8.31 \text{ J mol}^{-1}\text{ K}^{-1}\), not the gas constant per molecule.

插入页包含理想气体方程 pV = nRT、内能以及比热容。在 PH03 中，你可能还需要计算熵变。使用插入页中的摩尔气体常数 R = 8.31 J mol⁻¹ K⁻¹，而不是每个分子的气体常数。

• Specific heat: \(Q = mc\Delta\theta\)

  比热：Q = mc Δθ

• Ideal gas: \(pV = nRT\)

  理想气体：pV = nRT

• Entropy change: \(\Delta S = \frac{Q}{T}\)

  熵变：ΔS = Q/T

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9. Atomic and Nuclear Physics | 原子与核物理

For radioactive decay, the insert provides the exponential decay law \(A = A_0e^{-\lambda t}\) and half-life relationship \(\lambda = \frac{\ln 2}{t_{1/2}}\). Do not confuse the decay constant λ with wavelength λ. Write the unit of λ explicitly: s⁻¹.

对于放射性衰变，插入页提供了指数衰变规律 A = A₀e^(−λt) 和半衰期关系 λ = ln2 / t₁/₂。不要将衰变常数 λ 与波长 λ 混淆。请明确写出 λ 的单位：s⁻¹。

N = N₀e⁻λᵗ

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10. Data Analysis and Uncertainty | 数据分析与不确定度

The insert may include percentage uncertainty and error propagation rules. When you plot a graph, use the correct gradient method. The insert does not teach you how to draw graphs, but it does provide the formula for combining uncertainties: if \(Z = A + B\), then absolute uncertainties add; if \(Z = A \times B\), then percentage uncertainties add.

插入页可能包括百分比不确定度及误差传递规则。当你作图时，要使用正确的斜率求法。插入页不会教你如何作图，但它提供了不确定度合成公式：若 Z = A + B，则绝对不确定度相加；若 Z = A × B，则百分比不确定度相加。

• For \(y = mx + c\), the gradient \(m = \frac{\Delta y}{\Delta x}\)

  对于直线 y = mx + c，斜率 m = Δy / Δx

• If \(P = I^2R\), % uncertainty in P = 2 × % uncertainty in I + % uncertainty in R.

  若 P = I²R，则 P 的百分比不确定度 = 2 × I 的百分比不确定度 + R 的百分比不确定度。

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11. Common Misuses of the Insert | 插入页的常见误用

Many students lose marks because they copy a formula from the insert but forget the conditions under which it is valid. For example, \(v = u + at\) assumes constant acceleration. The insert does not list restrictions, so you must recall them from your class notes.

许多学生因为从插入页抄写公式却忘记其适用条件而失分。例如，v = u + at 假设加速度恒定。插入页并不列出限制条件，因此你必须从课堂笔记中回忆它们。

• Using \(pV = nRT\) for a non-ideal gas.

  对非理想气体使用 pV = nRT。

• Applying \(F = ma\) in a relativistic context.

  在相对论背景下应用 F = ma。

• Forgetting that the insert’s values are rounded, so the final answer should not be more precise than the input data.

  忘记插入页中数值已经四舍五入，因此最终答案不应比输入数据更精确。

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12. Exam Strategy: Insert-first Approach | 考试策略：先看插入页法

During the 5-minute reading time, do not answer questions. Instead, open the insert and mentally map each equation to a potential question type. For a calculation question, write the chosen equation clearly, then substitute values with units. If you realise you need a different formula, cross out the old one neatly — the examiner can still see your thinking process.

在 5 分钟阅读时间内，不要答题。相反，打开插入页，在脑中把每个方程映射到可能的题型。对于计算题，先清晰地写下所选方程，然后代入带单位的值。如果你意识到自己需要另一个公式，就整齐地划掉旧公式——阅卷者仍能看到你的思维过程。

Question type 题型	First equation to consider 首选方程
Projectile 抛体	s = ut + ½at²
Energy conversion 能量转换	E = mgh = ½mv²
Capacitor discharge 电容器放电	Q = Q₀e⁻ᵗ/ᴿᶜ

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By mastering the insert before you enter the hall, you turn a simple reference sheet into a powerful problem-solving framework. Practice past papers with the insert by your side, and soon you will instinctively know which equation to pull from it in under ten seconds. Good luck with your PH03 examination.

在进入考场前掌握插入页，你就能将一张简单的参考表转变为强大的解题框架。练习往年试卷时随时把插入页放在手边，很快你就能本能地在十秒内从中选出所需方程。祝你在 PH03 考试中顺利。

Published by TutorHao | Physics Revision Series | aleveler.com

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