📚 GCSE Physics: Mind Map Quick Revision | GCSE 物理：思维导图速记
Using a mind map for GCSE Physics revision helps you connect key ideas and see the bigger picture. This guide walks you through the core topics, linking concepts across energy, forces, waves, electricity, and more, so you can memorise efficiently and recall interlinked facts in your exam.
借助思维导图复习 GCSE 物理有助于将关键概念串联起来，形成整体认知。本指南带领你遍历核心专题，把能量、力、波、电学等内容相互关联，方便高效记忆并在考试中灵活提取相互联系的知识点。
1. Energy Stores and Systems | 能量储存与系统
Energy can be stored in several different ways: kinetic, gravitational potential, elastic potential, thermal (internal), chemical, nuclear, magnetic, and electrostatic. In any system, we identify the energy stores present and describe how energy is transferred between them.
能量可以多种方式储存：动能、重力势能、弹性势能、热能（内能）、化学能、核能、磁能和静电。在任何系统中，我们需要识别存在的能量储存方式，并描述能量如何在它们之间转移。
Energy is transferred mechanically (by a force doing work), electrically (work done by moving charges), by heating, or by radiation (light and sound). A closed system has no net energy transfer to or from the surroundings, and total energy remains constant.
能量转移的途径包括：通过做功的力（机械传递）、通过移动电荷做功（电传递）、通过加热或通过辐射（光和声）。封闭系统没有向外界或从外界的净能量转移，总能量保持不变。
The equation for kinetic energy is Eₖ = ½ m v². For gravitational potential energy: Eₚ = m g h. For elastic potential energy: Eₑ = ½ k e² (where k is the spring constant and e is extension).
动能公式为 Eₖ = ½ m v²。重力势能：Eₚ = m g h。弹性势能：Eₑ = ½ k e²（k 为劲度系数，e 为伸长量）。
Eₖ = ½ m v² & Eₚ = m g h & Eₑ = ½ k e²
2. Conservation of Energy and Efficiency | 能量守恒与效率
The principle of conservation of energy states that energy can be transferred usefully, stored, or dissipated, but it cannot be created or destroyed. In most processes, some energy is always dissipated as thermal energy, spreading out to the surroundings.
能量守恒原理指出：能量可以被有效转移、储存或耗散，但不会凭空产生或消失。在大多数过程中，总有一部分能量以热能形式耗散到周围环境中去。
Efficiency is the ratio of useful output energy transfer to total input energy transfer. It can be calculated as a decimal or percentage. For devices, reducing unwanted energy transfers (like friction, electrical resistance, or air resistance) improves efficiency.
效率是有用的输出能量转移与总输入能量转移的比值，可以用小数或百分数表示。对于设备，减少不必要的能量转移（如摩擦、电阻或空气阻力）可以提高效率。
- Efficiency = Useful output energy transfer / Total input energy transfer
- Efficiency = Useful power output / Total power input
常见的效率提高方法包括润滑油减少摩擦、使用更粗的导线降低电阻、在建筑物中加装隔热层等。在考试中，常常需要分析 Sankey 图或用能量转移链说明最终有用的输出比例。
3. Electricity: Circuits and Components | 电学：电路与元件
Electric charge (Q) is measured in coulombs (C). Current (I), measured in amperes (A), is the rate of flow of charge: I = Q / t. Potential difference (V), measured in volts (V), is the energy transferred per unit charge: V = E / Q.
电荷（Q）的单位是库仑（C）。电流（I）的单位是安培（A），指电荷流动的速率：I = Q / t。电势差（V）的单位是伏特（V），是每单位电荷转移的能量：V = E / Q。
Resistance (R), measured in ohms (Ω), opposes current flow. Ohm’s law states that V = I × R for an ohmic conductor at constant temperature. In series circuits, current is the same everywhere, and the total resistance is the sum of individual resistances. In parallel circuits, the potential difference across each branch is the same, and the total current is the sum of branch currents.
电阻（R）以欧姆（Ω）为单位，阻碍电流流动。欧姆定律指出，对于恒温下的欧姆导体，V = I × R。在串联电路中，电流处处相等，总电阻为各电阻之和。在并联电路中，各支路电势差相等，总电流为各支路电流之和。
Circuit components include fixed resistors, variable resistors, thermistors, LDRs, diodes, and LEDs. The I–V characteristic graphs for a resistor, filament lamp, and diode each show unique behaviours; a filament lamp’s resistance increases with temperature, while a diode only conducts in one direction.
电路元件包括定值电阻、可变电阻、热敏电阻、光敏电阻、二极管和发光二极管。电阻器、白炽灯和二极管的 I–V 特性图各自呈现独特行为；白炽灯的电阻随温度升高而增大，而二极管只能单向导电。
V = I × R & P = I × V & P = I² R
4. Particle Model of Matter | 物质粒子模型
The particle model describes the arrangement, movement, and energy of particles in solids, liquids, and gases. Solids have a fixed shape and volume with particles vibrating in fixed positions. Liquids have a fixed volume but take the shape of their container, particles still in contact but moving past each other. Gases have no fixed shape or volume, and particles move randomly at high speeds with large spaces between them.
粒子模型描述了固体、液体和气体中粒子的排列、运动和能量。固体有固定的形状和体积，粒子在固定位置振动。液体有固定体积但形状随容器而定，粒子仍然接触但能够相互滑动。气体没有固定的形状或体积，粒子高速随机运动，彼此间距很大。
Density (ρ) = mass / volume. Changes of state are physical changes: melting, freezing, boiling, condensing, sublimating. During a change of state, temperature remains constant while energy is transferred to break or form bonds; this is latent heat. The specific latent heat of fusion (melting) and vaporisation (boiling) are measured in J/kg.
密度 ρ = 质量 / 体积。物态变化为物理变化：熔化、凝固、沸腾（汽化）、凝结、升华。在物态变化期间，温度保持不变，此时能量用于打破或形成键合，即潜热。比熔化潜热和比汽化潜热的单位均为 J/kg。
The pressure of a gas is caused by particles colliding with the walls of its container. Increasing temperature at constant volume raises pressure because particles move faster and collide harder and more frequently. The relationship between pressure and volume at constant temperature for a fixed mass of gas follows p × V = constant.
气体的压强由粒子与容器壁碰撞产生。在体积不变时升高温度会使压强增大，因为粒子运动更快、碰撞更猛烈且更频繁。在温度不变时，一定质量气体的压强与体积成反比：p × V = 常数。
5. Atomic Structure and Radioactivity | 原子结构与放射性
The nuclear model of the atom describes a small, dense, positively charged nucleus containing protons and neutrons, surrounded by electrons in energy levels. The radius of an atom is about 1 × 10⁻¹⁰ m, while the nucleus is about 1 × 10⁻¹⁵ m.
原子的核式模型描述了一个小而致密、带正电的原子核，内部包含质子和中子，外部由处于不同能级的电子环绕。原子半径约为 1 × 10⁻¹⁰ m，而原子核半径约为 1 × 10⁻¹⁵ m。
Isotopes are atoms of the same element with the same number of protons but different numbers of neutrons. Unstable isotopes undergo radioactive decay, emitting alpha (α), beta (β), or gamma (γ) radiation. Alpha is a helium nucleus (2 protons + 2 neutrons), beta is a high-speed electron, and gamma is electromagnetic radiation.
同位素指原子序数相同而中子数不同的同种元素原子。不稳定的同位素会经历放射性衰变，放出 α、β 或 γ 射线。α 粒子是氦核（2个质子 + 2个中子），β 是高能电子，γ 是电磁辐射。
Radioactive decay is a random process. The half-life is the time taken for the number of radioactive nuclei in a sample to halve. Understanding half-life helps estimate the activity of a source and its applications in medicine and dating.
放射性衰变是随机过程。半衰期是指样品中放射性原子核数量减半所需的时间。了解半衰期有助于估计放射源的活度及其在医学和年代测定中的应用。
A → B + α & C → D + β⁻ + ν̄ₑ
6. Forces and Motion | 力与运动
Forces can be contact forces (friction, tension, normal contact) or non-contact forces (gravity, electrostatic, magnetic). A force is a vector quantity, meaning it has both magnitude and direction. Scalar quantities include speed, distance, mass, and energy.
力可分为接触力（摩擦力、张力、法向接触力）和非接触力（重力、静电力、磁力）。力是矢量，既有大小又有方向。标量包括速率、路程、质量和能量。
Newton’s First Law: an object remains at rest or moves at constant velocity unless acted on by a resultant force. Newton’s Second Law: F = m × a, where F is the resultant force. Newton’s Third Law: if object A exerts a force on object B, object B exerts an equal and opposite force on object A.
牛顿第一定律：物体将保持静止或匀速直线运动状态，除非受到合外力的作用。牛顿第二定律：F = m × a，其中 F 为合外力。牛顿第三定律：当物体 A 对物体 B 施加一个力时，物体 B 同时对物体 A 施加大小相等、方向相反的力。
Stopping distance = thinking distance + braking distance. Factors such as speed, mass, road conditions, and reaction time affect these distances. Momentum (p = m × v) is conserved in a closed system. Changes in momentum relate to force and time: F = Δp / t.
停车距离 = 反应距离 + 制动距离。速度、质量、路面状况和反应时间等因素会影响这两个距离。动量（p = m × v）在封闭系统中守恒。动量变化与力和时间的关系为：F = Δp / t。
7. Waves | 波
Waves transfer energy without transferring matter. In transverse waves (e.g. light, water ripples, seismic S-waves), oscillations are perpendicular to the direction of energy transfer. In longitudinal waves (e.g. sound, seismic P-waves), oscillations are parallel to the direction of energy transfer.
波传递能量但不传递物质。横波（如光、水波、地震 S 波）的振动方向与能量传播方向垂直。纵波（如声波、地震 P 波）的振动方向与能量传播方向平行。
Key wave properties include amplitude, wavelength (λ), frequency (f), period, and wave speed (v). The wave equation is v = f × λ. All electromagnetic waves travel at the same speed in a vacuum (3.0 × 10⁸ m/s).
波的关键特征包括振幅、波长（λ）、频率（f）、周期和波速（v）。波动方程为 v = f × λ。所有电磁波在真空中传播速度相同，均为 3.0 × 10⁸ m/s。
Reflection follows the law: angle of incidence = angle of reflection. Refraction occurs when a wave changes speed crossing a boundary, causing a change in direction unless incident normally. The electromagnetic spectrum, in order of increasing frequency and decreasing wavelength, runs: radio, microwave, infrared, visible light, ultraviolet, X-rays, gamma rays. Each type has different uses and hazards.
反射遵循定律：入射角等于反射角。当波以非垂直角度穿过介质边界并改变速度时会发生折射。电磁波谱按频率增高、波长减短排列为：无线电波、微波、红外线、可见光、紫外线、X 射线、伽马射线。每一类都有不同的用途和危害。
8. Magnetism and Electromagnetism | 磁学与电磁
Magnets have north and south poles; like poles repel, unlike poles attract. A permanent magnet produces its own magnetic field, while an induced magnet becomes magnetic only when placed in a magnetic field. The magnetic field around a bar magnet is strongest at the poles.
磁铁有北极和南极；同名磁极相互排斥，异名磁极相互吸引。永磁体会产生自己的磁场，而感应磁体只有在置于磁场中时才会表现出磁性。条形磁铁周围的磁场在两极最强。
Electromagnetism: a current-carrying wire produces a circular magnetic field. A solenoid (coil of wire) creates a strong and uniform magnetic field inside, similar to a bar magnet. Increasing the current, adding more turns, or inserting an iron core strengthens the electromagnet.
电磁学：载流导线会在其周围产生圆环状的磁场。螺线管（线圈）的内部会产生类似于条形磁铁的强而均匀的磁场。增大电流、增加匝数或插入铁芯均可增强电磁铁。
The motor effect: a current-carrying conductor in an external magnetic field experiences a force. Fleming’s left-hand rule helps predict the direction of force, magnetic field, and current. The force F = B I L (where B is magnetic flux density, I is current, L is length of conductor in the field).
电动机效应：处于外加磁场中的载流导体会受到一个力。弗莱明左手定则可以帮助判断力、磁场和电流的方向。力的大小 F = B I L（B 为磁通量密度，I 为电流，L 为导体在磁场中的长度）。
The generator effect (electromagnetic induction): if a conductor moves relative to a magnetic field, a potential difference is induced. This is used in alternators and dynamos. Transformers change potential differences using two coils on an iron core; the ratio of the potential differences matches the ratio of turns.
发电机效应（电磁感应）：当导体与磁场之间存在相对运动时，导体中会感应出电势差。该原理用于交流发电机和直流发电机。变压器利用绕在同一铁芯上的两个线圈来改变电压；电压比与匝数比相等。
9. Space Physics | 空间物理
Our solar system consists of the Sun, eight planets, their moons, dwarf planets, asteroids, and comets. The Sun is at the centre, and gravity keeps planets in elliptical orbits. The Earth spins on its axis once in 24 hours, causing day and night, and orbits the Sun once a year.
我们的太阳系包括太阳、八大行星、它们的卫星、矮行星、小行星和彗星。太阳位于中心，引力使行星沿椭圆轨道运行。地球每 24 小时自转一周，形成昼夜交替；并每年绕太阳公转一周。
The life cycle of a star depends on its mass. Stars about the size of the Sun evolve from nebula to protostar, main sequence, red giant, planetary nebula, and white dwarf. More massive stars become red supergiants, explode in a supernova, and leave behind a neutron star or black hole. Fusion in stars creates elements up to iron; heavier elements form in supernovae.
恒星的生命周期取决于其质量。与太阳质量相当的恒星从星云开始，经历原恒星、主序星、红巨星、行星状星云，最终成为白矮星。质量更大的恒星则演化为红超巨星，发生超新星爆炸后留下中子星或黑洞。恒星内的聚变生成直至铁的元素；更重的元素在超新星中产生。
Evidence for the Big Bang comes from red-shift observations: light from distant galaxies is shifted towards the red end of the spectrum, showing they are moving away. The further away a galaxy is, the faster it recedes, indicating the universe is expanding. Cosmic microwave background radiation (CMBR) also supports the Big Bang theory.
大爆炸的证据来自红移观测：遥远星系发出的光向光谱的红端移动，表明它们正在远离。星系距离越远，远离速度越快，说明宇宙在膨胀。宇宙微波背景辐射（CMBR）同样支持大爆炸理论。
10. Key Equations and Required Practicals | 关键公式与必做实验
Memorising and applying equations is essential for GCSE Physics. Below is a summary of frequently used equations. For your mind map, link each equation to the relevant topic area.
记忆并灵活运用公式对 GCSE 物理考试至关重要。以下是常用公式汇总。绘制思维导图时，将每个公式链接到相应的主题板块。
| Equation | Symbols | Topic |
|---|---|---|
| speed = distance ÷ time | v = d / t | Motion |
| acceleration = change in velocity ÷ time | a = (v – u) / t | Motion |
| force = mass × acceleration | F = m × a | Forces |
| weight = mass × gravitational field strength | W = m × g | Forces |
| momentum = mass × velocity | p = m × v | Forces |
| work done = force × distance (along the line of action) | W = F × d | Energy |
| efficiency = useful output / total input | Eff = Eout / Ein | Energy |
| potential difference = current × resistance | V = I × R | Electricity |
| power = energy transferred ÷ time | P = E / t | Energy / Electricity |
| wave speed = frequency × wavelength | v = f × λ | Waves |
| density = mass ÷ volume | ρ = m / V | Particle model |
The required practical activities test key skills. For instance, investigating the specific heat capacity of a material involves measuring mass, using a joulemeter or power supply to heat it, recording temperature change, and applying E = m c Δθ. The resistance of a wire practical examines length and cross-sectional area effects. For the I–V characteristics experiment, you build a circuit with an ammeter in series and a voltmeter in parallel, varying a variable resistor. In each case, be ready to describe the method, identify variables, and suggest improvements.
必做实验考查核心实验技能。例如，测量材料比热容的实验需要称量质量，用焦耳计或电源加热样品，记录温度变化，并计算 E = m c Δθ。导线电阻实验探讨长度与截面积的影响。在 I–V 特性实验中，你需要搭建串联电流表、并联电压表的电路，并调节可变电阻。对于每个实验，都要准备好描述步骤、识别变量并提出改进方法。
When you build a mind map, place the practicals near the relevant theory, and add connecting arrows to show how measurements lead to the formulas. Use colour to group concepts and include circuit diagrams or Sankey diagrams as visual cues.
在绘制思维导图时，将实验放在相关理论附近，并用箭头连接，展示测量如何与公式相联系。用颜色给概念分组，并加入电路图或 Sankey 图作为视觉提示。
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