📚 IB OCR Physics: Final Exam Revision Outline | IB OCR 物理：期末复习提纲
Whether you are preparing for the IB Physics final assessment or the OCR A Level Physics exams, this revision guide brings together the key concepts, equations, and skills that overlap both syllabuses. Use it as a checklist to ensure you have covered all major topics, from measurements and uncertainties to modern physics. Each section begins with the core ideas in English, followed immediately by the Chinese equivalent, helping you to master the content bilingually.
无论你准备的是IB物理终结性评估还是OCR A Level物理考试，这份复习提纲整合了两份课程大纲的核心概念、公式和技能。请将它当作自查清单，确保从测量与不确定度到现代物理的所有主要专题都已覆盖。每个小节先用英文呈现核心观点，紧接着配以中文说明，助你实现双语掌握。
1. Measurements and Uncertainties | 测量与不确定度
All lab-based questions depend on a solid understanding of uncertainties. You must be able to determine absolute uncertainties from instrument precision, convert between absolute and percentage uncertainties, and propagate errors through calculations.
所有实验类问题都建立在对不确定度的牢固理解之上。你必须会根据仪器精度确定绝对不确定度，完成绝对与相对不确定度之间的转换，并在运算中传递误差。
When quantities are added or subtracted, their absolute uncertainties simply add. For multiplication or division, percentage uncertainties are added. If a quantity is raised to a power n, multiply the percentage uncertainty by n.
加减运算时，绝对不确定度直接相加；乘除运算时，相对不确定度相加。若某量被乘方n次，则将其相对不确定度乘以n。
Always round final values to the same number of significant figures as the least precise measurement and include appropriate SI units. In both IB and OCR, missing or incorrect units lose marks.
最终结果的有效数字位数要与最不精确的测量值一致，并附上合适的国际单位。在IB和OCR中，漏写或写错单位都会扣分。
2. Mechanics | 力学
Mechanics is the backbone of physics. Master the SUVAT equations for uniformly accelerated motion in a straight line, but also be comfortable applying vectors in two dimensions.
力学是物理学的骨架。不仅要掌握匀加速直线运动的SUVAT方程，还要能熟练地在二维情境中处理矢量。
v = u + at s = ut + ½at² v² = u² + 2as s = ½(u + v)t
Newton’s second law relates resultant force, mass and acceleration: F = ma. Momentum p = mv is conserved in isolated systems, and impulse FΔt = Δp explains forces during collisions.
牛顿第二定律联系合力、质量与加速度：F = ma。动量p = mv在孤立系统中守恒，冲量FΔt = Δp则用于解释碰撞过程中的力。
Work, energy and power are equally vital: W = Fd cosθ, kinetic energy Eₖ = ½mv², gravitational potential energy Eₚ = mgh, and power P = W/t = Fv. Always identify the system before applying energy conservation.
功、能与功率同样关键：W = Fd cosθ，动能Eₖ = ½mv²，重力势能Eₚ = mgh，功率P = W/t = Fv。在应用能量守恒之前务必先明确系统。
For collisions and explosions, use conservation of momentum: m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂. Distinguish elastic collisions (kinetic energy conserved) from inelastic ones.
对于碰撞和爆炸问题，使用动量守恒：m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂。要区分弹性碰撞（动能守恒）和非弹性碰撞。
3. Thermal Physics | 热学
Temperature is a measure of the average random kinetic energy of particles. Heat is energy transferred due to temperature difference. Use Q = mcΔθ for temperature changes and Q = mL for phase changes.
温度是对粒子平均无规则平动动能的一种度量。热量是因温度差而传递的能量。温度变化用Q = mcΔθ，相变用Q = mL。
The ideal gas equation pV = nRT links pressure, volume and temperature. The kinetic model gives p = ⅓ρ⟨c²⟩, connecting macroscopic pressure to microscopic motion.
理想气体状态方程pV = nRT将压强、体积和温度联系起来。分子动理论给出p = ⅓ρ⟨c²⟩，把宏观压强与微观运动相联系。
The first law of thermodynamics ΔU = Q – W (where W is work done BY the system) is central to IB and OCR. Sign conventions must be consistent; many marks are lost through careless sign errors.
热力学第一定律ΔU = Q – W（其中W是系统对外做的功）是IB和OCR的核心。必须保持符号规则一致；不少失分源于随意的符号错误。
4. Waves | 波动
The universal wave equation v = fλ applies to all waves. Understand the differences between transverse and longitudinal waves, and know the conditions for polarisation.
普适的波动方程v = fλ适用于一切波。要理解横波与纵波的区别，并知道偏振的发生条件。
For double-slit interference, fringe separation Δx = λD / d. Constructive interference occurs when path difference = nλ, destructive when path difference = (n + ½)λ. Diffraction gratings produce sharp maxima described by d sinθ = nλ.
在双缝干涉中，条纹间距Δx = λD / d。光程差为整数倍波长时出现加强，半整数倍波长时出现减弱。衍射光栅产生明锐的极大，满足d sinθ = nλ。
Standing waves on strings and in pipes give rise to harmonics. For a string fixed at both ends, λₙ = 2L/n. In an open pipe the same rule holds; for a closed pipe, only odd harmonics exist.
弦与管中的驻波产生谐频。两端固定的弦满足λₙ = 2L/n；开管同样适用；闭管则只存在奇数倍谐频。
The Doppler effect for sound is given by f’ = f (v ± vₒ) / (v ± vₛ), where the signs depend on relative motion toward or away from the observer.
声波的多普勒效应为f’ = f (v ± vₒ) / (v ± vₛ)，正负号的选取取决于观察者与声源的相对朝向。
5. Electricity and Magnetism | 电学与磁学
Ohm’s law V = IR defines resistance. For resistors in series, resistances add; in parallel, the reciprocal sum rule applies. Kirchhoff’s current and voltage laws are essential for complex circuits.
欧姆定律V = IR定义了电阻。电阻串联时阻值相加；并联时按倒数求和。基尔霍夫电流定律和电压定律是分析复杂电路的根本。
Electric power can be expressed as P = IV = I²R = V²/R. Remember that in alternating current, rms values are used for power calculations.
电功率可表达为P = IV = I²R = V²/R。记住在交变电流中，功率计算需使用均方根值。
For uniform electric fields, E = V/d and F = qE. Capacitance is defined as C = Q/V, and the energy stored in a capacitor is U = ½QV = ½CV².
对于匀强电场，有E = V/d和F = qE。电容定义为C = Q/V，电容器储存的能量U = ½QV = ½CV²。
Magnetic force on a current-carrying wire is F = BIL sinθ, and on a moving charge it is F = qvB sinθ. Faraday’s law ε = -dΦ/dt and Lenz’s law govern electromagnetic induction.
载流导线所受的磁场力为F = BIL sinθ，运动电荷所受磁场力为F = qvB sinθ。法拉第定律ε = -dΦ/dt和楞次定律支配着电磁感应现象。
6. Circular Motion and Gravitation | 圆周运动与引力
An object moving at constant speed in a circle has a centripetal acceleration a = v²/r = ω²r and requires a net inward force F = mv²/r = mω²r.
物体做匀速圆周运动时，具有向心加速度a = v²/r = ω²r，需要指向圆心的合力F = mv²/r = mω²r。
Newton’s law of gravitation F = Gm₁m₂/r² yields the gravitational field strength g = GM/r². For a satellite in a circular orbit, gravitational force provides the centripetal force, giving orbital speed v = √(GM/r) and Kepler’s third law T² ∝ r³.
牛顿万有引力定律F = Gm₁m₂/r²给出引力场强度g = GM/r²。对于圆轨道卫星，引力充当向心力，得到轨道速率v = √(GM/r)以及开普勒第三定律T² ∝ r³。
Gravitational potential energy is U = -GMm/r, and escape velocity is v_esc = √(2GM/r). These formulas frequently appear in both IB and OCR questions on binary stars or satellite motion.
引力势能是U = -GMm/r，逃逸速率为v_esc = √(2GM/r)。这些公式常出现在IB和OCR有关双星或卫星运动的题目中。
7. Atomic, Nuclear and Particle Physics | 原子、核与粒子物理
The photoelectric effect demonstrates light’s particulate nature: Eₖ,ₘₐₓ = hf – φ, where the work function φ is the minimum energy needed to eject an electron. The stopping potential eVₛ = Eₖ,ₘₐₓ.
光电效应展示了光的粒子性：Eₖ,ₘₐₓ = hf – φ，其中逸出功φ是逸出电子的最低能量。停遏电势满足eVₛ = Eₖ,ₘₐₓ。
Atomic energy levels are quantized. For hydrogen-like atoms, Eₙ = -13.6/n² eV. Emission and absorption spectra provide evidence for discrete energy states.
原子能级是量子化的。类氢原子满足Eₙ = -13.6/n² eV。发射光谱和吸收光谱为分立能态的存在提供了证据。
Radioactive decay follows N = N₀ e⁻λt, and half-life T½ = ln2/λ. Activity A = λN. Mass–energy equivalence E = mc² explains the energy released in nuclear reactions via mass defect.
放射性衰变遵循N = N₀ e⁻λt，半衰期T½ = ln2/λ。活度A = λN。质能等价E = mc²通过质量亏损解释了核反应释放的能量。
8. Energy Production and Global Effects | 能源生产与全球效应
Both syllabi discuss the energy density and specific energy of fuels. Sankey diagrams illustrate energy transfers, with efficiency = useful output / total input.
两个大纲都讨论了燃料的能量密度和比能。能流图描绘能量转换过程，效率 = 有用输出 / 总输入。
Fossil fuels, nuclear fission, wind, solar and hydroelectric power all have distinct advantages and disadvantages. In nuclear fission, the binding energy per nucleon curve explains why heavy nuclei release energy when split.
化石燃料、核裂变、风能、太阳能和水力发电各有其优缺点。在核裂变中，比结合能曲线解释了重核分裂时为何会释放能量。
Blackbody radiation and the greenhouse effect account for global warming. Know how infrared-absorbing gases lead to an enhanced greenhouse effect and what factors determine a planet’s surface temperature.
黑体辐射和温室效应是全球变暖的成因。要了解吸收红外线的气体如何导致增强的温室效应，以及决定行星表面温度的因素有哪些。
9. Experimental Skills and Data Handling | 实验技能与数据处理
Drawing a proper graph with labelled axes, appropriate scales and error bars is a core skill. Use a line of best fit and a worst fit line (or max–min slope) to determine the uncertainty in the gradient.
绘制带有坐标轴标签、恰当刻度和误差棒的规范图形是核心技能。用最佳拟合线和最差拟合线（或最大最小斜率）求出斜率的不确定度。
When repeating measurements, use the half-range rule or standard deviation to estimate random uncertainty. Systematic errors cannot be reduced by averaging; they must be identified and corrected where possible.
进行重复测量时，使用半极差法或标准差估算随机不确定度。系统误差不能通过取平均值减小，必须加以识别并尽可能修正。
IB’s Internal Assessment and OCR’s practical endorsements both require you to evaluate sources of error, suggest realistic improvements, and discuss the impact of uncertainties on conclusions.
IB的内部评估和OCR的实验认可都要求你评价误差来源，提出切实的改进措施，并探讨不确定度对结论的影响。
10. Exam Technique and Common Pitfalls | 考试技巧与常见错误
Always highlight command terms like ‘explain’, ‘determine’ or ‘compare’. An ‘explain’ question demands scientific reasoning, not just a description.
务必圈出题干中的指令词，如“解释”“确定”“比较”。“解释”类问题需要科学推理，而非仅仅描述。
Convert all quantities to SI units before substituting into formulas. Check that mass is in kilograms, length in metres, and time in seconds. In dimensional analysis, you can often spot a flawed equation.
代入公式前，将所有量转换为国际单位。检查质量是否用千克，长度是否用米，时间是否用秒。通过量纲分析，往往能快速发现错误的方程。
Be explicit about sign conventions, especially in thermodynamics, kinematics (upward positive) and electromagnetic induction. Use vector diagrams and free-body diagrams to avoid mistakes.
要明确符号规则，尤其是在热力学、运动学（向上为正）和电磁感应中。多用矢量图与受力分析图以避免错误。
Manage your time by allocating marks per minute. If a question carries 3 marks, spend roughly 3 minutes on it and move on. Re-read calculations for unrealistic answers.
按每分分配时间。若某题3分，则花约3分钟作答，然后继续。重新审视计算，排除不合常理的答案。
Published by TutorHao | Physics Revision Series | aleveler.com
更多咨询请联系16621398022（同微信）
屏轩国际教育cambridge primary/secondary checkpoint, cat4, ukiset,ukcat,igcse,alevel,PAT,STEP,MAT, ibdp,ap,ssat,sat,sat2课程辅导，国外大学本科硕士研究生博士课程论文辅导