📚 IB & Edexcel Physics: End-of-Term Revision Guide | IB 与 Edexcel 物理期末复习提纲
This comprehensive revision guide synthesizes the core topics common to both the IB Diploma Physics (SL/HL) and Edexcel A-Level Physics specifications, designed to streamline your end-of-term preparation. Whether you are tackling Paper 1 multiple-choice, Paper 2 theory, or the practical components, a structured overview of key concepts, essential formulas, and common pitfalls will boost your confidence. The outline covers measurements and uncertainties, mechanics, thermal physics, waves, electricity, magnetism, quantum and nuclear physics, fields, energy, and exam technique, ensuring you can identify knowledge gaps and prioritize revision effectively.
这份综合复习提纲融合了 IB 文凭物理（SL/HL）与 Edexcel A-Level 物理考纲中共同的核心主题，旨在帮助你高效地进行期末冲刺。无论你面对的是试卷一选择题、试卷二论述题还是实验考核部分，只要系统梳理关键概念、必备公式和常见易错点，就能大幅提升应试信心。本提纲涵盖测量与不确定度、力学、热物理、波动、电学、磁学、量子与核物理、场与能量以及考试技巧，帮助你准确定位知识薄弱点，合理安排复习优先级。
1. Measurements and Uncertainties | 测量与不确定度
, and the propagation of uncertainties through calculations. Remember that absolute uncertainty is the ± value attached to a measurement, while relative uncertainty is often expressed as a percentage. When adding or subtracting quantities, absolute uncertainties add; for multiplication and division, percentage uncertainties add. Significant figures must reflect the least precise measurement.
所有实验科学都始于可靠的测量。IB 与 Edexcel 都强调区分随机误差与系统误差，以及在运算中传递不确定度。记住绝对不确定度是指测量值附带的 ± 范围，而相对不确定度通常以百分数表示。当物理量相加或相减时，绝对不确定度相加；乘除运算时，百分数不确定度相加。有效数字的保留必须与最不精密的测量保持一致。
Random errors cause readings to scatter about a true value; they can be reduced by taking multiple readings and calculating the mean.
随机误差使读数在真值附近分散，可通过多次测量取平均值来减小。
Systematic errors shift all readings in one direction, often due to faulty equipment or incorrect calibration. These cannot be reduced by averaging.
系统误差使所有读数朝同一方向偏移，常由仪器缺陷或校准不当引起，取平均值无法消除。
IB data booklet provides standard uncertainty formulas; Edexcel expects students to combine uncertainties using simple rules.
IB 数据手册提供标准不确定度公式；Edexcel 要求考生会用简单规则合成不确定度。
If Q = a + b, then ΔQ = Δa + Δb
若 Q = a + b，则 ΔQ = Δa + Δb
2. Mechanics | 力学
Mechanics underpins a vast portion of the syllabus, from linear motion to energy conservation. Ensure you can seamlessly switch between vector and scalar quantities—velocity, acceleration, force, and momentum are vectors, while speed, distance, energy, and mass are scalars. The four SUVAT equations apply only when acceleration is constant. For variable acceleration, IB expects calculus-based approaches (HL) or graphical analysis, while Edexcel often integrates calculus throughout A-Level.
力学是整个课程的基础，涵盖从直线运动到能量守恒的广泛内容。你必须能自如地切换矢量和标量——速度、加速度、力、动量是矢量，而速率、路程、能量、质量是标量。四个 SUVAT 方程仅在加速度恒定时适用。对于变加速情况，IB 高阶课程要求使用微积分方法或图像分析，而 Edexcel 则在整个 A-Level 阶段融入了微积分运用。
Newton's three laws: Inertia, F = ma, action-reaction pairs.
牛顿三定律：惯性定律、运动定律、作用力与反作用力定律。
Momentum is always conserved in isolated systems; impulse equals change in momentum.
孤立系统中动量始终守恒；冲量等于动量的变化量。
Work done W = Fs cosθ; kinetic energy Ek = ½mv²; gravitational potential energy Ep = mgΔh.
做功 W = Fs cosθ；动能 Ek = ½mv²；重力势能 Ep = mgΔh。
| SUVAT Equation | SUVAT 方程 |
| v = u + at | v = u + at |
| s = ut + ½at² | s = ut + ½at² |
| v² = u² + 2as | v² = u² + 2as |
| s = (u+v)t/2 | s = (u+v)t/2 |
3. Thermal Physics | 热物理
energy of particles) from internal energy (sum of interparticle potential and kinetic energies). Both qualifications require understanding specific heat capacity and latent heat, where Q = mcΔθ and Q = mL. For ideal gases, the relationships between pressure, volume, and temperature are crucial, and IB HL additionally covers the first law of thermodynamics, ΔU = Q − W.
温度、内能和分子动理论模型构成了热物理的基础。请区分温度（粒子平均动能）与内能（粒子间势能与动能的总和）。两个课程体系都要求掌握比热容与潜热，对应公式 Q = mcΔθ 与 Q = mL。对于理想气体，压强、体积和温度之间的关系至关重要，IB 高阶课程还额外涉及热力学第一定律 ΔU = Q − W。
The internal energy of an ideal gas depends only on temperature; no intermolecular forces.
理想气体的内能仅取决于温度，分子间无作用力。
Absolute zero is 0 K or −273.15 °C; the Kelvin scale is used in all gas law calculations.
绝对零度为 0 K 或 −273.15 °C；所有气体定律计算均使用开尔文温标。
Avogadro's constant NA = 6.02×10²³ mol⁻¹ links microscopic and macroscopic mass.
阿伏伽德罗常数 NA = 6.02×10²³ mol⁻¹ 连接微观与宏观质量。
pV = nRT = NkBT
pV = nRT = NkBT
4. Waves and Oscillations | 波动与振动
quency, period, wavelength, and wave speed. The wave equation v = fλ is fundamental. Simple harmonic motion (SHM) is treated algebraically in both specifications, with acceleration a = −ω²x and energy interchanges between kinetic and potential forms. Make sure you can graphically represent standing waves, identify nodes and antinodes, and explain single-slit diffraction and double-slit interference.
波动现象丰富多变，在 IB 与 Edexcel 试卷中频繁出现。务必掌握位移、振幅、频率、周期、波长和波速的定义。波动方程 v = fλ 是基础。简谐运动（SHM）在两种课程中均以代数形式处理，其加速度 a = −ω²x，能量在动能与势能之间转换。确保你能画出驻波图形，识别波节与波腹，并解释单缝衍射与双缝干涉现象。
Transverse waves oscillate perpendicular to energy transfer; longitudinal waves oscillate parallel.
横波的振动方向垂直于能量传递方向；纵波则平行。
e, fringe spacing Δy = λD/d, where D is the slit-screen distance and d is slit separation.
双缝干涉条纹间距 Δy = λD/d，其中 D 为缝屏距离，d 为缝间距。
Total internal reflection occurs when light moves from a higher to lower refractive index medium at an angle greater than the critical angle.
当光从光密介质射向光疏介质且入射角大于临界角时，发生全内反射。
n1sinθ1 = n2sinθ2
n1sinθ1 = n2sinθ2
5. Electricity and Circuits | 电学与电路
ric circuit analysis demands a clear grasp of current, voltage, resistance, and power. Ohm' n series, while conductance adds in parallel. Internal resistance r of a battery reduces terminal voltage under load: V = ε − Ir. Both IB and Edexcel include potential divider circuits and the use of LDRs and thermistors in sensor applications.
电路分析需要清晰掌握电流、电压、电阻和功率。欧姆定律 V = IR 仅适用于恒温下的欧姆导体。串联与并联组合的规则截然相反：串联时电阻相加，并联时电导相加。电池内阻 r 会在负载下降低路端电压：V = ε − Ir。IB 与 Edexcel 均涉及分压电路以及光敏电阻、热敏电阻在传感器中的应用。
Kirchhoff's current law: total current entering a junction equals total current leaving.
基尔霍夫电流定律：流入节点的电流之和等于流出电流之和。
Kirchhoff's voltage law: sum of e.m.f. around any closed loop equals sum of potential drops.
基尔霍夫电压定律：闭合回路中电动势之和等于各元件电势降之和。
Power dissipated P = IV = I²R = V²/R.
耗散功率 P = IV = I²R = V²/R。
| Resistor Combination | 电阻组合 |
| Series: Rtotal = R1 + R2 + ... | 串联：R总 = R1 + R2 + ... |
| Parallel: 1/Rtotal = 1/R1 + 1/R2 + ... | 并联：1/R总 = 1/R1 + 1/R2 + ... |
6. Magnetism and Electromagnetic Induction | 磁学与电磁感应
carrying current I in a perpendicular magnetic field B is F = BIL. For a moving charge, F = qvB, with direction given by Fleming's left-hand rule. Electromagnetic induction is governed by Faraday' law: the induced e.m.f. equals the negative rate of change of magnetic flux linkage. Lenz' hese principles are tested through transformers, generators, and motional e.m.f. problems.
磁场对运动电荷与载流导线施加作用力，将电学与力学连接起来。在垂直于磁场的长度为 L 的导线上，载流 I 所受的力为 F = BIL。运动电荷受力 F = qvB，方向由弗莱明左手定则判定。电磁感应遵循法拉第定律：感应电动势等于磁通量链变化率的负值。楞次定律确定感应电流的方向，以阻碍引起感应的磁通变化。变压器、发电机和动生电动势问题均是这些原理的典型考核情景。
Magnetic flux Φ = BA cosθ, flux linkage NΦ for a coil.
磁通量 Φ = BA cosθ，线圈磁通量链为 NΦ。
For a transformer, Vs/Vp = Ns/Np for an ideal transformer; power input equals power output.
理想变压器满足 Vs/Vp = Ns/Np；输入功率等于输出功率。
rpendicular to a uniform magnetic field undergoes circular motion with radius r = mv/(qB).
带电粒子垂直于匀强磁场运动时，做半径 r = mv/(qB) 的圆周运动。
ε = −N (dΦ/dt)
ε = −N (dΦ/dt)
7. Quantum and Nuclear Physics | 量子与核物理
sts of photons, each with energy E = hf. The work function Φ is the minimum energy needed to eject an electron; the photoelectric equation is hf = Φ + Ek,max s wave-particle duality to matter. Nuclear physics covers radioactive decay, binding energy, and nuclear reactions. Both IB and Edexcel require you to explain nuclear stability using the strong nuclear force, calculate half-lives from decay curves, and describe alpha, beta, and gamma radiation.
量子物理引入了光的粒子性与物质的波动性。光电效应证明光由光子组成，每个光子能量 E = hf。逸出功 Φ 是使电子脱离金属所需的最小能量；光电方程表示为 hf = Φ + Ek,max。德布罗意波长 λ = h/p 将波粒二象性扩展至实物粒子。核物理涵盖放射性衰变、结合能与核反应。IB 与 Edexcel 都要求你用强核力解释原子核稳定性，从衰变曲线计算半衰期，并描述 α、β、γ 辐射的特性。
Activity A = −dN/dt = λN; exponential decay law N = N0e−λt.
活度 A = −dN/dt = λN；指数衰变律 N = N0e−λt。
Half-life t½ = ln2/λ; background radiation must be subtracted for accurate measurements.
半衰期 t½ = ln2/λ；准确测量需扣除本底辐射。
c², where Δm is the difference between the mass of separate nucleons and the actual nucleus mass.
质量亏损与结合能：E = Δmc²，Δm 为分散核子质量与原子核实际质量之差。
Ek,max = hf − Φ
最大初动能 Ek,max = hf − Φ
8. Fields and Energy Production | 场与能量生产
roduced by moving charges. IB and Edexcel both examine gravitational field strength g = F/m and electric field strength E = F/q, with potential gradients linking field strength to potential. For energy production, topics such as solar power, wind turbines, pumped storage, and nuclear fission are discussed with reference to efficiency, environmental impact, and energy density. Sankey diagrams are often used to illustrate energy transfers and losses.
场提供了一个统一的概念框架：引力场与静电场都遵循平方反比定律，而磁场由运动电荷产生。IB 与 Edexcel 均考到引力场强度 g = F/m 和电场强度 E = F/q，场强与势的梯度相关联。在能量生产方面，太阳能、风力发电、抽水蓄能和核裂变等主题都要求联系效率、环境影响与能量密度进行分析。桑基图常用于直观展示能量转移与损耗。
Uniform electric field between parallel plates: E = V/d.
平行板间的匀强电场：E = V/d。
Gravitational potential Vg = −GM/r; for a spherical mass, g = GM/r².
引力势 Vg = −GM/r；球形质量周围的场强 g = GM/r²。
Coulomb's law: F = kQ1Q2/r², analogous to Newton's law of gravitation.
库仑定律：F = kQ1Q2/r²，与万有引力定律形式相似。
g = −dVg/dr
g = −dVg/dr
9. Practical Skills and Data Analysis | 实验技能与数据分析
Both qualifications place a strong emphasis on practical competencies. IB has a formal Internal Assessment investigation, requiring a detailed experimental design, data collection, uncertainty treatment, and evaluation. Edexcel A-Level assesses core practicals throughout the course, with questions on apparatus, methods, and sources of error appearing in written papers. Learn to identify dependent and independent variables, control confounding factors, and draw lines of best fit with error bars where appropriate. The ability to linearize equations and extract gradients and intercepts is universally tested.
两种课程都非常重视实验能力。IB 设有正式的内部评估（IA），要求详尽的实验设计、数据收集、不确定度处理与评价。Edexcel A-Level 则通过核心实验渗透全课程，笔试中会出现关于仪器、方法和误差来源的问题。你需要学会区分因变量与自变量，控制干扰因素，并能在需要时绘制带有误差棒的最佳拟合线。将方程线性化并提取斜率与截距，是普适的考察点。
aph y = mx + c, the uncertainty in the gradient can be estimated from the worst-fit lines.
对于直线图 y = mx + c，斜率的不确定度可用最差拟合线估算。
Significant figures in calculated results should match the least precise measurement used.
计算结果的有效数字应与使用的最不精密测量值一致。
Anomalous readings must be identified, repeated, or excluded with justification.
异常读数需识别、重测或在阐明理由后剔除。
10. Exam Technique and Common Pitfalls | 考试技巧与常见错误
Effective revision is not only about knowing the content but also about understanding how to approach the paper. Read questions carefully, underline command terms such as 'explain', 'describe', 'calculate', or 'show that'. In IB, always refer to the data booklet for constants and equations, but ensure you understand when they are applicable. For Edexcel, use the formula sheet and bring a precise calculator. Manage your time: allocate roughly one minute per mark, leaving time for review. Common pitfalls include confusing scalar and vector quantities, neglecting units, and misapplying sign conventions in energy or circuit problems.
高效复习不仅在于掌握知识内容，更在于懂得如何应试。仔细读题，圈出指令词如“解释”“描述”“计算”或“证明”。在 IB 考试中，随时查阅数据手册中的常数与公式，但必须清楚其适用条件。Edexcel 考生则可利用公式表，并携带精度足够的计算器。合理分配时间：大致按每分钟完成一分的节奏，留出检查时间。常见错误包括混淆标量与矢量、遗漏单位、在能量或电路问题中错用正负号约定。
Always state the direction for vector quantities where required; magnitude alone is often insufficient.
凡需要时，务必说明矢量的方向；仅给出大小常常不够。
Derivations should follow a logical flow: start from fundamental equations, show algebraic steps clearly.
推导应有条理：从基础方程出发，清晰展示代数步骤。
For 'show that' questions, work with given variables and aim to reach the target expression without rounding intermediate steps.
对于“证明”题，全程使用所给符号进行运算，避免对中间步骤取近似值，以精确求得目标表达式。
In practical-based questions, suggest improvements that realistically reduce the largest identified source of error.
在实验背景的考题中，提出的改进建议应切实地针对已识别的最大误差源。
Total score = knowledge × exam strategy
总分 = 知识掌握 × 应考策略
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