IGCSE物理力学 热学 波 电磁 原子 备考规划
IGCSE CAIE Physics is one of the most conceptually demanding IGCSE subjects, spanning five core domains: mechanics, thermal physics, waves, electricity and magnetism, and atomic physics.
IGCSE CAIE物理是概念难度最高的IGCSE科目之一，涵盖力学、热物理、波、电磁学和原子物理五大核心领域。本文提供六周系统备考规划，帮助你在Paper 2选择题、Paper 4论述题和Paper 6实验题中稳定得分。
1. Mechanics 力学
Motion: Master the SUVAT equations (v = u + at, s = ut + 1/2 at^2, v^2 = u^2 + 2as). Understand the distinction between scalar quantities (speed, distance, mass) and vector quantities (velocity, displacement, acceleration, force). Learn to interpret displacement-time graphs (gradient = velocity) and velocity-time graphs (gradient = acceleration; area = displacement).
运动学: 掌握SUVAT方程组的四个公式，理解标量(速率、路程、质量)和矢量(速度、位移、加速度、力)的区别。学会解读位移时间图(斜率=速度)和速度时间图(斜率=加速度，面积=位移)。Paper 2常考图表判断题，Paper 4则要求完整计算过程。
Forces: Newton's three laws are the cornerstone: (1) inertia, (2) F = ma, (3) action-reaction pairs. Know how to resolve forces into perpendicular components using trigonometry. Terminal velocity requires understanding balanced forces (weight = air resistance). The moment of a force = force × perpendicular distance from pivot; apply the principle of moments for equilibrium problems.
力: 牛顿三定律是力学的基石：(1)惯性定律，(2)F=ma，(3)作用力与反作用力。学会用三角函数分解受力。终端速度的核心是平衡力(重力=空气阻力)。力矩=力×力臂，利用力矩平衡解决支点问题。
Energy and Momentum: Energy stores: kinetic (1/2 mv^2), gravitational potential (mgh), elastic (1/2 kx^2). The principle of conservation of energy governs all transformations. Power = work done / time = energy transferred / time. Momentum = mv, conserved in all collisions and explosions. Impulse = change in momentum = Ft. Efficiency = useful output / total input × 100%.
能量与动量: 能量形式：动能(1/2mv^2)、重力势能(mgh)、弹性势能(1/2kx^2)。能量守恒定律贯穿所有转换过程。功率=做功÷时间。动量=mv，在碰撞和爆炸中守恒。冲量=动量变化=Ft。效率=有用输出÷总输入×100%，这是Paper 4计算题的常客。
Pressure: P = F/A for solids, P = ρgh for liquids. Understand the hydraulic press principle and the relationship between pressure and depth in fluids. Atmospheric pressure decreases with altitude.
压强: 固体P=F/A，液体P=ρgh。理解液压机原理和液体压强随深度的变化关系。大气压随海拔升高而降低。
2. Thermal Physics 热物理
Kinetic particle model: Understand how particles behave in solids (fixed positions, vibrate), liquids (slide past each other), and gases (random, rapid motion). The relationship between temperature and average kinetic energy of particles is fundamental. Brownian motion provides evidence for the kinetic model.
分子运动论: 理解固体(固定位置振动)、液体(相互滑过)、气体(随机快速运动)中粒子的行为。温度与粒子平均动能的关系是热物理的基础。布朗运动为分子运动论提供了实验证据。
Thermal expansion: Solids expand when heated (applications: bimetallic strips, railway gaps). Liquids expand more than solids (thermometer principle). The anomalous expansion of water (maximum density at 4°C) is a key CAIE exam topic, especially Paper 4 where you need to explain its ecological significance.
热膨胀: 固体受热膨胀(应用：双金属片、铁轨间隙)。液体膨胀系数大于固体(温度计原理)。水的反常膨胀(4°C密度最大)是CAIE考试的重要考点，Paper 4常要求你解释其生态意义。
Specific heat capacity and latent heat: Q = mcΔθ for temperature changes; Q = mL for phase changes. The high specific heat capacity of water (4200 J/kg°C) explains coastal climate moderation. During melting and boiling, temperature remains constant while energy is absorbed (latent heat of fusion/vaporisation). Heating and cooling curves are standard Paper 2 questions.
比热容与潜热: Q=mcΔθ用于温度变化，Q=mL用于相变。水的高比热容(4200 J/kg°C)解释了沿海气候的温和特性。熔化和沸腾过程中温度保持不变，能量以潜热形式被吸收。加热和冷却曲线是Paper 2的标准题型。
Heat transfer: Conduction (solids, free electrons in metals), convection (fluids, density changes), and radiation (infrared, no medium needed, black surfaces absorb/emit best). Vacuum flasks use all three principles for insulation. This section is heavily tested in Paper 6 ATP with experimental design questions.
热传递: 传导(固体，金属中的自由电子)、对流(流体，密度变化)和辐射(红外线，无需介质，黑色表面吸热/散热最强)。保温瓶利用这三种原理实现隔热。此部分在Paper 6实验题中经常涉及实验设计。
3. Waves 波
Wave properties: Transverse waves (light, water, electromagnetic) vs longitudinal waves (sound). Key terms: amplitude, wavelength, frequency, period (T = 1/f), wave speed (v = fλ). Understand the difference between wave speed and particle speed: in a transverse wave, particles oscillate perpendicular to energy transfer direction.
波的基本性质: 横波(光、水波、电磁波)与纵波(声波)。关键术语：振幅、波长、频率、周期(T=1/f)、波速(v=fλ)。理解波速和粒子速度的区别：横波中粒子振动方向与能量传递方向垂直。
Reflection and refraction: Law of reflection (angle of incidence = angle of reflection). Refraction occurs when waves change speed at a boundary, causing direction change (unless incident normally). Snell's Law: n = sin i / sin r. Total internal reflection when angle of incidence exceeds the critical angle (optical fibres, prisms in periscopes).
反射与折射: 反射定律(入射角=反射角)。折射发生在波穿越介质边界时速度改变导致方向改变(垂直入射除外)。斯涅尔定律: n=sin i/sin r。全内反射发生在入射角大于临界角时(光纤、潜望镜棱镜)。
Lenses: Converging (convex) lenses produce real images when object is beyond focal point, virtual images when within. Use ray diagrams (three standard rays) to locate images. Magnification = image height / object height = image distance / object distance. Know the lens formula: 1/f = 1/u + 1/v.
透镜: 会聚透镜(凸透镜)在物体位于焦点之外时成实像，位于焦点之内时成虚像。使用三条标准光线作图确定像的位置。放大率=像高÷物高=像距÷物距。掌握透镜公式1/f=1/u+1/v。
Sound: Longitudinal wave produced by vibrating sources. Pitch = frequency, loudness = amplitude. Echo = reflection of sound; ultrasound (f > 20 kHz) used in medical imaging (echo sounding, SONAR). Speed of sound in air ≈ 330 m/s.
声波: 由振动源产生的纵波。音调=频率，响度=振幅。回声=声波反射；超声波(f>20kHz)用于医学成像和声纳测距。空气中声速约330m/s。
4. Electricity and Magnetism 电磁学
Electric circuits: Current (I = Q/t), voltage/potential difference (V = W/Q), resistance (R = V/I). Series circuits: same current through all components, voltage divides. Parallel circuits: same voltage across branches, current divides. Use V = IR systematically for circuit calculations; always identify whether components are in series or parallel first.
电路基础: 电流(I=Q/t)、电压(V=W/Q)、电阻(R=V/I)。串联电路：电流处处相等、电压分压。并联电路：电压相等、电流分流。使用V=IR系统解决电路计算问题，首先判断元件是串联还是并联。
Electrical power and energy: P = IV = I^2R = V^2/R. Energy transferred E = IVt = Pt. Understand why high-voltage transmission reduces power loss (P_loss = I^2R: lower current means lower loss). Electrical safety: fuses, circuit breakers, earthing, double insulation. Know the difference between AC (alternating, mains supply) and DC (direct, batteries).
电功率与电能: P=IV=I^2R=V^2/R。电能E=IVt=Pt。理解高压输电减少功率损耗的原理(P_loss=I^2R：电流越低，损耗越小)。安全用电：保险丝、断路器、接地、双重绝缘。区分交流电AC(市电)和直流电DC(电池)。
Electromagnetism: A current-carrying conductor produces a magnetic field (right-hand grip rule). The motor effect: a current-carrying wire in a magnetic field experiences a force (Fleming's left-hand rule). F = BIL for a conductor perpendicular to field. DC motors use split-ring commutators to reverse current every half turn.
电磁学: 载流导体产生磁场(右手定则)。电动机效应：磁场中载流导线受安培力(弗莱明左手定则)。F=BIL适用于导线垂直于磁场的情况。直流电动机利用换向器每半圈反转电流方向。
Electromagnetic induction: Moving a conductor through a magnetic field induces an EMF (Fleming's right-hand rule for generators). The induced EMF depends on field strength, speed of motion, and number of turns. Transformers: Vp/Vs = Np/Ns; 100% efficiency assumed in CAIE. Step-up (Ns > Np) and step-down (Ns < Np) transformers are essential for the national grid.
电磁感应: 导体在磁场中运动产生感应电动势(弗莱明右手定则)。感应电动势大小取决于磁场强度、运动速度和线圈匝数。变压器: Vp/Vs=Np/Ns，CAIE假设100%效率。升压变压器(Ns>Np)和降压变压器(Ns<Np)是国家电网的关键设备。
5. Atomic Physics 原子物理
Atomic structure: Nucleus (protons + neutrons) surrounded by electrons in shells. Atomic number Z = number of protons; mass number A = protons + neutrons. Isotopes: same Z, different A. Know the approximate relative masses: proton ≈ neutron ≈ 1 u, electron ≈ 1/1836 u (negligible for mass number).
原子结构: 原子核(质子+中子)周围环绕壳层电子。原子序数Z=质子数；质量数A=质子数+中子数。同位素：相同Z，不同A。掌握近似相对质量：质子≈中子≈1u，电子≈1/1836u(对质量数影响可忽略)。
Radioactivity: Three types of radiation: alpha (helium nucleus, 2p+2n, highly ionising, stopped by paper), beta (fast electron, moderately ionising, stopped by 3mm aluminium), gamma (electromagnetic wave, weakly ionising, reduced by thick lead). Half-life: time for half the nuclei to decay. Understand how to read decay curves and calculate remaining mass after N half-lives.
放射性: 三种辐射：α射线(氦核，2p+2n，电离能力最强，纸张可阻挡)、β射线(高速电子，中等电离，3mm铝板可阻挡)、γ射线(电磁波，电离最弱，厚铅板可削弱)。半衰期：半数原子核衰变所需时间。学会解读衰变曲线并计算N个半衰期后的剩余质量。
Nuclear reactions: Alpha decay (A decreases by 4, Z decreases by 2) and beta decay (A unchanged, Z increases by 1, neutron -> proton + electron + antineutrino). Nuclear fission (splitting heavy nuclei, chain reaction in reactors) vs fusion (combining light nuclei, energy source of stars). Balance nuclear equations by conserving both mass number and atomic number. Applications: nuclear power stations, radiotherapy (gamma), tracers (beta/gamma), carbon dating (C-14).
核反应: α衰变(A减4，Z减2)和β衰变(A不变，Z增1，中子->质子+电子+反中微子)。核裂变(分裂重核，反应堆链式反应)与核聚变(合并轻核，恒星能量来源)。通过守恒质量数和原子序数配平核反应方程。应用：核电站、放射治疗(γ)、示踪剂(β/γ)、碳定年(C-14)。
6. Six Week Study Plan 六周备考计划
A structured six-week plan to cover all five CAIE Physics domains with progressively deeper revision. Each week targets specific topics with recommended practice papers.
以下是覆盖五大CAIE物理领域的六周结构化计划，每周聚焦特定主题并配套推荐练习卷。
Week 1 第一周Mechanics: SUVAT, Forces, Energy, Momentum
Paper 2: 2 sets daily
Week 2 第二周Thermal + Waves: Heat transfer, Sound, Light
Paper 4: 1 set daily
Week 3 第三周Electricity + Magnetism: Circuits, EM Induction
Paper 6 ATP: 2 sets
Week 4 第四周Atomic + Space Physics: Radioactivity, Big Bang
Paper 2 + 4 mixed
Week 5 第五周Full Syllabus Review: Weak areas, Equation drill
3 full Paper 4 sets
Week 6 第六周Timed Mocks: P2 45min, P4 75min, P6 60min
All 3 papers, full timed
7. Exam Tips for High Marks 高分考试技巧
Paper 2 MCQ 选择题45 minutes, 40 questions. Eliminate wrong answers systematically. Questions on graphs, circuit analysis, and wave diagrams are the most time-consuming, budget 1 min each. Use the formula sheet; do not memorise constants.
Paper 4 Theory 论述题75 minutes, 80 marks. Show ALL working steps for calculations. For 5-6 mark questions, structure answers: state the principle, apply to context, give numerical result with units. Use scientific vocabulary (not everyday language).
Paper 6 ATP 实验题60 minutes, 40 marks. Always identify: independent variable, dependent variable, and at least 3 control variables. Draw tables with headings including units. For graph plotting, use sharp pencil, >50% grid area, line of best fit.
Common command words: State (short answer, no explanation needed), Describe (say what happens, no why), Explain (say why, using scientific principles), Calculate (show formula + substitution + answer + unit), Suggest (apply knowledge to a novel context), Compare (similarities AND differences).
常见指令词: State(简述，无需解释)、Describe(描述现象，无需解释原因)、Explain(用科学原理解释原因)、Calculate(展示公式+代入+答案+单位)、Suggest(将知识应用于新情境)、Compare(相似点与不同点)。Paper 4中Explain和Calculate合计占分超过60%。
A crucial exam technique: check units before substituting into formulas. The most common error is mixing cm with m, or g with kg. Always convert to SI units first (metres, kilograms, seconds, amperes).
关键考试技巧：代公式之前先检查单位。最常见的错误是把cm和m、g和kg混用。务必先转换为国际单位制(米、千克、秒、安培)。
8. Key Equations to Memorise 必记核心公式
v = u + at匀加速运动
F = ma牛顿第二定律
W = mg重力 weight
P = F/A压强 pressure
E_k = 1/2 mv^2动能 KE
E_p = mgh重力势能 GPE
Q = mcΔθ比热容 SHC
Q = mL潜热 latent heat
v = fλ波速 wave speed
n = sin i/sin r折射率 Snell's Law
V = IR欧姆定律 Ohm's Law
P = IV电功率 power
ρ = mv动量 momentum
P = ρgh液体压强 fluid pressure
Vp/Vs = Np/Ns变压器 transformer
1/f = 1/u + 1/v透镜 lens formula
Key Bilingual Terms 关键双语术语
Acceleration 加速度 | Velocity 速度 | Displacement 位移 | Momentum 动量 | Impulse 冲量 | Terminal velocity 终端速度 | Centre of mass 质心 | Moment 力矩 | Hooke's Law 胡克定律 | Specific heat capacity 比热容 | Latent heat 潜热 | Brownian motion 布朗运动 | Conduction 传导 | Convection 对流 | Radiation 辐射 | Amplitude 振幅 | Wavelength 波长 | Frequency 频率 | Diffraction 衍射 | Refraction 折射 | Critical angle 临界角 | Electromagnetic induction 电磁感应 | Transformer 变压器 | Half-life 半衰期 | Isotope 同位素 | Nuclear fission 核裂变 | Nuclear fusion 核聚变 | Background radiation 背景辐射
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