📚 IB CCEA Physics: High-Frequency Exam Topics Summary | IB CCEA 物理：高频考点总结
IB Physics, whether taken at Standard or Higher Level, demands a thorough grasp of fundamental principles and their applications. This article summarises the most frequently examined topics, drawing on the core and AHL syllabus common to all IB Physics courses, including those following the CCEA-style assessment model. From kinematics to quantum phenomena, mastering these areas will give you a strong foundation for Paper 1, Paper 2, and the internal assessment.
无论是标准级别还是高级别的 IB 物理，都要求学生透彻理解基本原理及其应用。本文总结了 IB 物理课程中最常考查的主题，涵盖核心和高阶内容，适用于包括 CCEA 风格评估在内的所有 IB 物理学习。从运动学到量子现象，掌握这些领域将为你的试卷一、试卷二和内部评估打下坚实基础。
1. Kinematics and Projectile Motion | 运动学与抛体运动
at, s = ut + ½at², and v² = u² + 2as. Always choose a consistent sign convention, especially in free-fall problems where g = 9.81 m/s² acts downward.
位移、速度和加速度都是矢量，其正负号表示方向。三个匀加速运动方程至关重要：v = u + at、s = ut + ½at² 和 v² = u² + 2as。务必选定一致的符号约定，尤其是在自由落体问题中，重力加速度 g = 9.81 m/s² 方向向下。
Projectile motion must be treated by resolving the initial velocity into horizontal and vertical components. The horizontal component remains constant (ignoring air resistance), while the vertical component is uniformly accelerated by gravity. At maximum height, the vertical velocity is zero but horizontal velocity remains unchanged.
抛体运动需将初速度分解为水平和竖直分量。水平分量保持不变（忽略空气阻力），而竖直分量在重力作用下匀变速。在最高点，竖直速度为零，但水平速度不变。
| Quantity | Horizontal | Vertical |
|---|---|---|
| Acceleration | 0 | g ↓ |
| Velocity | u cos θ (constant) | u sin θ - gt |
表格：抛体运动分量分析 | 水平方向加速度为零，竖直方向受重力加速度 g 作用。
2. Newton's Laws and Forces | 牛顿定律与力
Newton' ernal force. The second law gives the net force as F = ma. The third law highlights action–n pairs that act on different bodies and are equal in magnitude but opposite in direction.
牛顿第一定律指出，物体在不受合外力作用时将保持静止或匀速直线运动。第二定律给出合外力 F = ma。第三定律强调作用力与反作用力总是成对出现，作用在不同物体上，大小相等、方向相反。
Free-body diagrams are essential for solving force problems. Identify all forces (weight, normal reaction, tension, friction) and resolve along inclined planes. For equilibrium, the vector sum of forces is zero; for acceleration, the net force equals ma in the direction of acceleration.
受力分析图对于解决力学问题至关重要。确定所有作用力（重力、支持力、张力、摩擦力）并沿斜面分解。平衡时，力的矢量和为零；有加速度时，合外力等于加速度方向上的 ma。
Friction can be static (up to μₛR) or kinetic (μₖR). The normal reaction R is not always equal to weight – it depends on other forces present. Exam questions frequently combine inclined planes, pulleys and friction to test multi-step reasoning.
摩擦力可以是静摩擦力（最大值 μₛR）或动摩擦力（μₖR）。支持力 R 并不总等于重力——它取决于其他作用力。考试题目常将斜面、滑轮和摩擦力结合起来，考查多步推理。
3. Work, Energy and Power | 功、能量与功率
do work. Kinetic energy Eₖ = ½mv² and gravitational potential energy Eₚ = mgh (near Earth' onservation of energy states that energy cannot be created or destroyed, only transformed.
力做功为 W = Fs cos θ，其中 θ 是力与位移的夹角。能量是做功的本领。动能 Eₖ = ½mv²，重力势能 Eₚ = mgh（近地表）。能量守恒定律指出，能量既不会创生也不会消灭，只能相互转化。
by friction), it is converted into thermal energy. In gradient problems, the total mechanical energy often remains constant if no external non-conservative forces act, a favourite topic in Paper 2.
功率是做功的快慢：P = W/t = Fv。当能量被耗散时（如通过摩擦力），它转化为热能。在斜面问题中，若无非保守外力做功，总机械能通常守恒，这是试卷二的热门考点。
Be able to derive and use the equation for elastic potential energy Eₑ = ½kx² from a force–xtension graph, where k is the spring constant. The work done is the area under the curve.
能够根据力–伸长量图像推导并运用弹性势能方程 Eₑ = ½kx²，其中 k 为劲度系数。做功即曲线下面积。
4. Circular Motion and Gravitation | 圆周运动与引力
d (ω = 2π/T). The centripetal force is F = mv²/r. It is not an extra force but the resultant of real forces (tension, gravity, friction) acting towards the centre.
匀速圆周运动存在指向圆心的向心加速度 a = v²/r = ω²r，其中 v 为线速度，ω 为角速度（ω = 2π/T）。向心力为 F = mv²/r。它不是额外的力，而是真实力（张力、重力、摩擦力）在指向圆心方向的合力。
Gravitational force follows Newton' Gm₁m₂/r². Gravitational field strength g = GM/r². The orbital speed of a satellite is v = √GM/r, leading to Kepler's third law: T² ∝ r³. These relationships are heavily examined, requiring algebraic manipulation and graphical interpretation.
引力遵循牛顿万有引力定律：F = Gm₁m₂/r²。引力场强度 g = GM/r²。卫星的轨道速度 v = √GM/r，可推导出开普勒第三定律：T² ∝ r³。这些关系是常考内容，需要代数操作和图像解读。
5. Simple Harmonic Motion | 简谐运动
e harmonic motion (SHM) arises when the restoring force is proportional to displacement: F ∝ –x, leading to a = –ω²x. The displacement– is sinusoidal: x = A cos(ωt) or x = A sin(ωt). ω = 2π/T, and the maximum speed vₘₐₓ = ωA.
当回复力与位移成正比且方向相反时，物体做简谐运动（SHM）：F ∝ –x，由此可得 a = –ω²x。位移–时间图像为正弦曲线：x = A cos(ωt) 或 x = A sin(ωt)。ω = 2π/T，最大速度 vₘₐₓ = ωA。
ic and potential forms. Total energy remains constant and equals ½mω²A². Pendulums (T = 2π√L/g) and mass–spring systems (T = 2π√m/k) are standard examples. Phase difference and resonance are frequent qualitative questions.
简谐运动中的能量在动能和势能之间持续转换。总能量保持不变，等于 ½mω²A²。单摆（T = 2π√L/g）和弹簧振子（T = 2π√m/k）是标准实例。相位差和共振是常见的定性分析题目。
6. Thermal Physics | 热物理学
Temperature is proportional to average kinetic energy. The gas law pV = nRT combines Boyle's, Charles's and Gay-Lussac's laws. The mole, Avogadro's number Nₐ = 6.02 × 10²³ mol⁻¹, and molar mass are fundamental.
理想气体的内能是其粒子动能的总和。温度与平均动能成正比。气体定律 pV = nRT 包含了玻意耳定律、查理定律和盖-吕萨克定律。摩尔、阿伏伽德罗常数 Nₐ = 6.02 × 10²³ mol⁻¹ 和摩尔质量是基础概念。
Δp = 0), isochoric (ΔV = 0) and adiabatic (Q = 0). The first law of thermodynamics, ΔU = Q – W, is key; work done on/by gas can be found from the area under a p–V diagram.
热力学过程可分为等温（ΔT = 0，pV = 常量）、等压（Δp = 0）、等容（ΔV = 0）和绝热（Q = 0）。热力学第一定律 ΔU = Q – W 是关键；气体做功可通过 p–V 图下的面积求得。
| Process | Key equation | Work done W |
|---|---|---|
| Isobaric | V ∝ T | pΔV |
| Adiabatic | pVγ = constant | ΔU – Q (Q = 0) |
表格：常见热力学过程 | 等压过程 W = pΔV；绝热过程 Q = 0。
7. Electric Fields and Circuits | 电场与电路
y indicates strength. Potential difference V = W/q, and the electronvolt 1 eV = 1.60 × 10⁻¹⁹ J.
电场强度 E = F/q，方向规定为正试探电荷受力方向。点电荷电场强度 E = kQ/r²。电场线永不相交，其密度表示场强大小。电势差 V = W/q，电子伏特 1 eV = 1.60 × 10⁻¹⁹ J。
Ohm' epends on material and temperature. In series circuits, current is the same; in parallel, voltage is the same. Kirchhoff' e essential for multi-loop networks, often appearing with internal resistance r and emf ε.
欧姆定律 V = IR 适用于欧姆导体。电阻 R = ρL/A，电阻率 ρ 取决于材料和温度。串联电路中电流相等，并联电路中电压相等。基尔霍夫电压和电流定律对于多回路网络至关重要，常与内阻 r 和电动势 ε 一同出现。
8. Magnetic Fields and Induction | 磁场与电磁感应
harges: F = qvB sin θ (Lorentz force). For a current-carrying wire, F = BIL sin θ. Fleming' rged particles move in circular paths in uniform magnetic fields, with radius r = mv/(qB).
运动电荷在磁场中受力：F = qvB sin θ（洛伦兹力）。对于通电导线，F = BIL sin θ。弗莱明左手定则判定受力方向。带电粒子在匀强磁场中做圆周运动，半径 r = mv/(qB)。
Electromagnetic induction: a changing magnetic flux induces an emf according to Faraday's law, ε = –N(ΔΦ/Δt). Lenz' e change in flux. This principle underlies generators and transformers. Flux Φ = BA cos θ.
电磁感应：变化的磁通量根据法拉第定律产生电动势，ε = –N(ΔΦ/Δt)。楞次定律给出方向：感应电流的磁场阻碍原磁通量的变化。该原理是发电机和变压器的基础。磁通量 Φ = BA cos θ。
9. Wave Phenomena | 波动现象
inal waves (sound) oscillate parallel. Key quantities: wavelength λ, frequency f, speed v = fλ, period T = 1/f. Intensity ∝ amplitude².
波传播能量而不传播物质。横波（光、水波）振动方向与传播方向垂直；纵波（声波）振动方向与传播方向平行。关键量：波长 λ、频率 f、波速 v = fλ、周期 T = 1/f。强度正比于振幅的平方。
Superposition leads to constructive and destructive interference. Young' ≈ λ/b. Standing waves on strings and in pipes generate harmonics with nodes and antinodes.
波的叠加形成相长干涉和相消干涉。杨氏双缝实验条纹间距为 Δy = λD/d。单缝衍射产生中央明条纹，角宽度 θ ≈ λ/b。弦和管中的驻波产生谐波，包含波节和波腹。
Doppler effect for sound: observed frequency f' = f(v ± vₒ)/(v ∓ t relates to relative speed. Polarisation is a definitive test for transverse waves. Malus's law: I = I₀ cos² θ for transmitted intensity through a polariser.
声波的多普勒效应：观察频率 f' = f(v ± vₒ)/(v ∓ vₛ)。对于光，红移/蓝移与相对速度相关。偏振是判定横波的决定性方法。马吕斯定律：透过偏振器的光强 I = I₀ cos² θ。
10. Quantum and Nuclear Physics | 量子与核物理
fect demonstrates that electrons are emitted only if f > f₀, with kinetic energy Kₘₐₓ = hf – work function. The stopping potential Vₛ confirms photon energy, independent of intensity.
光子能量 E = hf，动量 p = h/λ。光电效应表明，仅当入射光频率 f > f₀ 时，才能逸出电子，最大动能 Kₘₐₓ = hf – Φ，其中 Φ 为逸出功。截止电压 Vₛ 证实光子能量，与光强无关。
Atomic spectra arise from transitions between discrete energy levels: hf = E₂ – alpha (⁴₂He), beta (e⁻ or e⁺) and gamma rays. Activity A = λN, with half-life T½ = ln2/λ.
原子光谱源于不同能级间的跃迁：hf = E₂ – E₁。巴尔末系对应末态 n = 2 的跃迁。核衰变：α 衰变（⁴₂He）、β 衰变（e⁻ 或 e⁺）和 γ 射线。活度 A = λN，半衰期 T½ = ln2/λ。
Mass– on and fusion are evaluated through mass defect calculations, frequently appearing in Section A and data-analysis questions.
质能方程 E = mc² 对于结合能和核反应至关重要。原子质量单位 1 u = 1.66 × 10⁻²⁷ kg = 931.5 MeV/c²。通过质量亏损计算评估裂变和聚变反应，这些内容常见于 A 部分和数据分析题。
11. Measurement and Uncertainty | 测量与不确定度
or fractional (Δx/x). When adding/subtracting, add absolute uncertainties; when multiplying/dividing, add fractional uncertainties. Data tables must include units and consistent significant figures.
所有测量量均含有不确定度，可表示为绝对不确定度（±Δx）或相对不确定度（Δx/x）。加减运算时，绝对不确定度相加；乘除运算时，相对不确定度相加。数据表必须包含单位并保持有效数字一致。
d worst fit to determine uncertainty in gradient and intercept. The percentage discrepancy |experimental – accepted|/accepted × 100% acy. Systematic errors shift all readings consistently, while random errors cause scatter.
作图应包含误差棒、最佳拟合线和最差拟合线，以确定斜率和截距的不确定度。百分误差 |实验值 – 公认值|/公认值 × 100% 用于评估准确度。系统误差使读数整体偏移，而随机误差导致数据离散。
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