📚 Pre-U CIE Physics: Rapid Memorisation Guide for Key Terminology | Pre-U CIE 物理:词汇术语速记指南
Mastering the terminology in Pre-U CIE Physics is not simply about rote learning; it is about building a deep conceptual scaffolding that allows you to decode exam questions accurately and articulate answers with precision. This guide provides a systematic approach to remembering essential physics vocabulary, leveraging etymology, visual mnemonics, and contextual grouping to transform abstract terms into lasting knowledge.
掌握 Pre-U CIE 物理术语不仅是机械记忆,而是构建一个深刻的概念框架,帮助你准确解读考题、精准表述答案。本指南提供一套系统方法,通过词源解析、视觉记忆术和情景分组,将抽象术语转化为持久的理解。
1. Foundations: SI Units and Prefixes | 基础:国际单位制与词头
Start with the bedrock: the seven SI base units. A powerful mnemonic for them is “My Cat Likes Tasty Kangaroo Salmon” – Metre (m), Candela (cd), Kelvin (K), Kilogram (kg), Second (s), Mole (mol), Ampere (A). Notice that ‘kilogram’ is the only base unit with a prefix, a common trick in exams.
从基石开始:七个国际单位制基本单位。一个有力的记忆口诀是“My Cat Likes Tasty Kangaroo Salmon”——米(m)、坎德拉(cd)、开尔文(K)、千克(kg)、秒(s)、摩尔(mol)、安培(A)。注意“千克”是唯一带词头的基本单位,这是考试常见陷阱。
Prefixes from tera (10¹²) to femto (10⁻¹⁵) must be second nature. Group them by powers of three: mega (M, 10⁶), kilo (k, 10³), milli (m, 10⁻³), micro (μ, 10⁻⁶), nano (n, 10⁻⁹), pico (p, 10⁻¹²). The symbol for ‘micro’ is the Greek letter mu (μ), often confused with ‘m’ for milli.
从太拉(10¹²)到飞母托(10⁻¹⁵)的词头必须烂熟于心。按10的幂次分组记忆:兆(M, 10⁶)、千(k, 10³)、毫(m, 10⁻³)、微(μ, 10⁻⁶)、纳(n, 10⁻⁹)、皮(p, 10⁻¹²)。“微”的符号是希腊字母μ,常与“毫”的m混淆。
2. Mechanics: Motion and Forces | 力学:运动与力
The term ‘kinematics’ derives from Greek ‘kinema’ (motion). Distinguish it clearly from ‘kinetics’ (study of forces causing motion). Key definitions: displacement (vector, s) versus distance (scalar, d); velocity (rate of change of displacement, v) versus speed (rate of change of distance). The gradient of a displacement-time graph gives velocity; the gradient of a velocity-time graph gives acceleration (a = Δv/Δt).
“运动学”一词源自希腊语“kinema”(运动)。要清楚区分它与“动力学”(研究引起运动的力)。关键定义:位移(矢量,s)对比路程(标量,d);速度(位移变化率,v)对比速率(路程变化率)。位移-时间图斜率给出速度;速度-时间图斜率给出加速度(a = Δv/Δt)。
Newton’s three laws are often memorised but misunderstood. First Law (inertia): a body remains at rest or in uniform motion unless acted upon by a resultant force. Second Law: F = dp/dt, which simplifies to F = ma for constant mass. Third Law: if body A exerts a force on body B, B exerts an equal and opposite force on A; these forces act on different bodies and therefore do not cancel.
牛顿三定律常被记忆却遭误解。第一定律(惯性):物体保持静止或匀速直线运动,除非受到合外力作用。第二定律:F = dp/dt,对于恒质量简化为 F = ma。第三定律:若物体A对B施力,则B对A施加等大反向的力;这两个力作用在不同物体上,因此不抵消。
Impulse (J = Δp = FΔt) is the area under a force-time graph. Momentum (p = mv) is always conserved in a closed system, even during explosions and collisions, provided no external resultant force acts.
冲量(J = Δp = FΔt)是力-时间图下面积。动量(p = mv)在封闭系统中总是守恒的,爆炸和碰撞也不例外,只要无外合外力作用。
3. Circular Motion and Gravitation | 圆周运动与引力
Angular velocity (ω) measures the rate of change of angle (ω = Δθ/Δt, unit rad s⁻¹). Linear velocity v = ωr. Centripetal acceleration (a = v²/r = ω²r) is always directed toward the centre; it is due to a centripetal force, not a ‘centrifugal’ one, which is a fictitious force perceived in a rotating frame.
角速度(ω)测量角度变化率(ω = Δθ/Δt,单位弧度每秒)。线速度 v = ωr。向心加速度(a = v²/r = ω²r)始终指向圆心;它由向心力引起,而非“离心力”,后者是转动参考系中的虚拟力。
Newton’s law of gravitation: F = -Gm₁m₂/r², where the negative sign indicates attraction. Gravitational field strength g = F/m, and near a planet’s surface g = GM/r². Gravitational potential (V) is the work done per unit mass to bring a test mass from infinity to a point; V = -GM/r. The potential gradient dV/dr equals the negative of field strength: g = -dV/dr.
牛顿引力定律:F = -Gm₁m₂/r²,负号表示吸引。引力场强度 g = F/m,近星球表面有 g = GM/r²。引力势(V)是将单位质量从无穷远移至该点所做的功;V = -GM/r。势梯度 dV/dr 等于负的场强:g = -dV/dr。
4. Oscillations and Waves | 振动与波
Simple harmonic motion (SHM) is defined by a restoring force (or acceleration) directly proportional to displacement and always directed towards the equilibrium position: a = -ω²x, where ω = 2πf. Key quantities: amplitude (x₀), period (T = 1/f), frequency (f), angular frequency (ω). Phase difference compares two oscillations and is expressed in radians or degrees.
简谐运动(SHM)的定义是恢复力(或加速度)与位移成正比且始终指向平衡位置:a = -ω²x,其中 ω = 2πf。关键量:振幅(x₀)、周期(T = 1/f)、频率(f)、角频率(ω)。相位差比较两个振动,以弧度或度表示。
In wave terminology, distinguish between longitudinal waves (particle vibration parallel to energy transfer, e.g., sound) and transverse waves (perpendicular, e.g., light). Terms for a wave graph: displacement (y), amplitude (y₀), wavelength (λ), period (T). The wave speed v = fλ. Phase difference Δφ = (2π × path difference) / λ.
在波的术语中,区分纵波(质点振动平行于能量传递方向,如声波)和横波(垂直,如光波)。波动图形的术语:位移(y)、振幅(y₀)、波长(λ)、周期(T)。波速 v = fλ。相位差 Δφ = (2π × 路程差) / λ。
Superposition, interference, and coherence are frequently tested. Coherent sources have a constant phase difference and the same frequency. Constructive interference occurs when path difference is a whole number of wavelengths (nλ); destructive interference when it is (n + ½)λ.
叠加、干涉和相干是常考点。相干波源具有恒定的相位差和相同的频率。当路程差为波长的整数倍(nλ)时发生相长干涉;半整数倍(n + ½)λ时发生相消干涉。
5. Electric Fields and Circuits | 电场与电路
Electric field strength E is defined as force per unit positive charge (E = F/q). For a point charge, E = kQ/r² (k = 1/(4πε₀)). The field direction is the direction of force on a positive test charge. Potential difference (p.d.) between two points is the work done per unit charge moving between them: V = W/q. The electronvolt (eV) is the energy gained by an electron accelerated through 1 V: 1 eV = 1.60 × 10⁻¹⁹ J.
电场强度 E 定义为单位正电荷所受的力(E = F/q)。对于点电荷,E = kQ/r² (k = 1/(4πε₀))。场的方向是正检验电荷受力方向。两点间的电势差(电压)是将单位电荷从一点移到另一点所做的功:V = W/q。电子伏特(eV)是一个电子经1伏电势差加速获得的能量:1 eV = 1.60 × 10⁻¹⁹ J。
Capacitance (C = Q/V) is the charge stored per unit p.d. The time constant τ = RC for a resistor-capacitor circuit: after one time constant, the charge on a discharging capacitor falls to 37% of its initial value. For exponential decay, the half-life is constant: t₁/₂ = RC ln 2.
电容(C = Q/V)是每单位电压所储存的电荷。阻容电路的时间常数 τ = RC:经历一个时间常数后,放电电容器上的电荷降至初始值的37%。指数衰减中,半衰期恒定:t₁/₂ = RC ln 2。
A magnetic field can be visualised with field lines. Magnetic flux density B is the force per unit current per unit length on a current-carrying conductor perpendicular to the field: F = BIl sin θ. The unit tesla (T) is equivalent to N A⁻¹ m⁻¹. Magnetic flux Φ = BA cos θ, and flux linkage = NΦ.
磁场可用磁感线直观表示。磁通量密度 B 是单位电流、单位长度的通电导线在场中垂直于磁场时受到的力:F = BIl sin θ。特斯拉(T)等于牛每安每米(N A⁻¹ m⁻¹)。磁通量 Φ = BA cos θ,磁链 = NΦ。
6. Electromagnetic Induction | 电磁感应
Faraday’s law: the magnitude of induced e.m.f. is equal to the rate of change of magnetic flux linkage (ε = -N dΦ/dt). Lenz’s law gives the minus sign: the induced current flows in such a direction as to oppose the change causing it. The combination explains why a magnet dropped through a coil falls slower than free-fall.
法拉第定律:感应电动势的大小等于磁链变化率(ε = -N dΦ/dt)。楞次定律解释了负号:感应电流的方向总是试图阻碍引起它的变化。这结合解释了为何磁铁通过线圈下落得比自由落体慢。
Self-inductance L: ε = -L dI/dt. The unit henry (H) = V s A⁻¹. An inductor stores energy in its magnetic field: E = ½ LI². Transformers use mutual induction: Vₚ/Vₛ = Nₚ/Nₛ (ideal). Eddy currents are induced circulating currents in bulk conductors, often minimised by lamination.
自感系数 L:ε = -L dI/dt。单位亨利(H) = V s A⁻¹。电感器在磁场中储存能量:E = ½ LI²。变压器利用互感:Vₚ/Vₛ = Nₚ/Nₛ(理想情况)。涡流是块状导体中感生的环流,常通过叠片结构来减小。
7. Quantum and Particle Physics | 量子与粒子物理
The photoelectric effect gave crucial evidence for quantisation. Key terms: threshold frequency (f₀), the minimum frequency to eject an electron; work function (Φ), the minimum energy needed to release an electron from the surface. Einstein’s equation: hf = Φ + KEmax. The stopping potential Vₛ relates to the maximum kinetic energy: eVₛ = KEmax.
光电效应为量子化提供了关键证据。关键术语:阈频率(f₀),能打出电子的最小频率;功函数(Φ),使电子从表面逸出的最小能量。爱因斯坦方程:hf = Φ + 最大动能。遏止电势 Vₛ 与最大动能的关系:eVₛ = 最大动能。
Wave-particle duality: de Broglie wavelength λ = h/p, where p is momentum. Electrons can show diffraction, proving their wave nature. In the standard model, hadrons (baryons and mesons) are composed of quarks; leptons (electron, muon, tau, and their neutrinos) are fundamental.
波粒二象性:德布罗意波长 λ = h/p,其中p为动量。电子可呈现衍射,证实其波动性。在标准模型中,强子(重子和介子)由夸克组成;轻子(电子、缪子、陶子及其中微子)是基本粒子。
Binding energy per nucleon is a measure of nuclear stability. In fission and fusion, the total mass of products is less than reactants; this mass defect (Δm) is converted to energy according to E = Δmc².
每核子结合能是核稳定性的量度。在裂变与聚变中,产物总质量小于反应物;此质量亏损(Δm)按 E = Δmc² 转化为能量。
8. Thermal Physics | 热物理学
The specific heat capacity (c) is the energy required to raise the temperature of 1 kg of a substance by 1 K: Q = mcΔθ. Specific latent heat (L) is the energy per kg to change state at constant temperature: Q = mL. Distinguish fusion (solid↔liquid) from vaporisation (liquid↔gas).
比热容(c)是使1kg物质温度升高1K所需的能量:Q = mcΔθ。比潜热(L)是恒温下改变物态所需的每千克能量:Q = mL。区分熔化(固↔液)与汽化(液↔气)。
Ideal gas laws: Boyle’s (p ∝ 1/V), Charles’s (V ∝ T), Gay-Lussac’s (p ∝ T). The equation of state for n moles is pV = nRT, where R = 8.31 J K⁻¹ mol⁻¹. For a single particle, pV = NkT (k = 1.38 × 10⁻²³ J K⁻¹). The mean translational kinetic energy of a molecule is (3/2)kT.
理想气体定律:玻意耳定律(p ∝ 1/V)、查理定律(V ∝ T)、盖-吕萨克定律(p ∝ T)。n摩尔的状态方程为 pV = nRT,其中 R = 8.31 J K⁻¹ mol⁻¹。对于单粒子,pV = NkT(k = 1.38 × 10⁻²³ J K⁻¹)。分子的平均平动动能为 (3/2)kT。
9. Radioactive Decay | 放射性衰变
Activity A = λN, measured in becquerels (Bq). The decay constant λ is the probability of decay per unit time. The exponential decay law: N = N₀ e⁻λt, A = A₀ e⁻λt. Half-life T₁/₂ = ln2 / λ. A decay curve’s constant half-life verifies the random nature of decay.
活度 A = λN,单位贝可(Bq)。衰变常数 λ 是单位时间的衰变概率。指数衰变律:N = N₀ e⁻λt,A = A₀ e⁻λt。半衰期 T₁/₂ = ln2 / λ。衰变曲线的恒定半衰期验证了衰变的随机性。
Alpha, beta, and gamma radiation are distinguished by nature, ionising power, and penetration. Alpha (helium nuclei, stopped by paper, high ionisation); beta (electrons/positrons, stopped by few mm Al); gamma (electromagnetic, reduced by lead). In beta-minus decay, a neutron converts to a proton, emitting an electron and an antineutrino.
α、β、γ辐射通过本质、电离能力和穿透力区分。α(氦核,纸张可阻挡,高电离);β(电子/正电子,几毫米铝可阻);γ(电磁波,需铅层减弱)。在β⁻衰变中,中子转化为质子,发射一个电子和一个反中微子。
10. Practical Skills and Graph Language | 实验术语与图像语言
Examiners reward precise terminology for graphs and uncertainties. ‘Direct proportionality’ means a straight line through the origin (y = mx). ‘Linear relationship’ means a straight line but not necessarily through origin (y = mx + c). ‘Proportional’ alone is ambiguous; always qualify. Uncertainty terms: absolute uncertainty (±Δ), fractional (Δx/x), percentage (Δx/x × 100%).
考官青睐对图像和不确定度的精确表述。“正比”意味着一条过原点的直线(y = mx)。“线性关系”指直线但未必过原点(y = mx + c)。单说“成比例”是模糊的,务必加以限定。不确定度术语:绝对不确定度(±Δ)、相对不确定度(Δx/x)、百分不确定度(Δx/x × 100%)。
Systematic errors (e.g., zero error, wrongly calibrated instrument) affect accuracy and can be reduced by calibration, while random errors affect precision and are reduced by taking multiple readings. A control variable must be defined clearly in experimental design questions.
系统误差(如零误差、仪器校准错误)影响准确度,可通过校准减少;随机误差影响精密度,可通过多次读数减少。在实验设计题中必须明确定义控制变量。
11. Electricity and D.C. Circuits | 电流与直流电路
Current is the rate of flow of charge (I = ΔQ/Δt). Conventional current is the direction of positive charge flow, opposite to electron flow in metals. Ohm’s law states that V ∝ I provided temperature and other physical conditions remain constant. Resistance R = V/I; resistances in series add (Rₜ = R₁ + R₂ + …), in parallel add reciprocally (1/Rₜ = 1/R₁ + 1/R₂ + …).
电流是电荷流动的速率(I = ΔQ/Δt)。约定电流方向为正电荷流动方向,在金属中与电子流方向相反。欧姆定律指出,当温度等物理条件恒定时,V ∝ I。电阻 R = V/I;串联电阻相加(Rₜ = R₁ + R₂ + …),并联电阻倒数相加(1/Rₜ = 1/R₁ + 1/R₂ + …)。
Electromotive force (e.m.f.) is the energy transferred per unit charge from chemical or other forms to electrical energy (ε = W/Q). Terminal p.d. is less than e.m.f. when current flows due to internal resistance r: V = ε – Ir. The power dissipated in a resistor can be expressed as P = IV = I²R = V²/R.
电动势(e.m.f.)是将其他形式能量转换为电能的每单位电荷能量(ε = W/Q)。当有电流时,端电压因内阻r而小于电动势:V = ε – Ir。电阻器消耗的功率可表示为 P = IV = I²R = V²/R。
12. Memorisation Tactics and Exam Tips | 记忆策略与应试技巧
Create your own glossary with three columns: Term, Precise Definition, Mnemonic or Diagram. For vector quantities, always note the need for direction. Use flashcards with the term on one side and the definition plus equation on the other. Practice orally explaining a term to a friend without notes—this reinforces neural pathways.
建立个人三栏式词汇表:术语、精确定义、助记符或图示。对于矢量,务必注明方向的必要性。使用闪卡,一面写术语,另一面写定义和公式。尝试不依靠笔记口头向朋友解释一个术语——这能强化神经通路。
When answering definition questions, mirror the exact phrasing from the syllabus. For instance, ‘state Hooke’s law’: Extension is directly proportional to force as long as the elastic limit is not exceeded. Use the word ‘directly’ and mention the condition. Always check if a term is a scalar (magnitude only) or vector (magnitude and direction).
回答定义题时,尽量照搬考纲原句。例如“陈述胡克定律”:在不超过弹性限度的前提下,伸长量与力成正比。使用“正比”一词并提及条件。始终检查术语是标量(只有大小)还是矢量(大小和方向)。
Finally, review past papers to identify recurring terminology. Words like ‘smooth’ (no friction), ‘light’ (negligible mass), ‘inextensible’ (no stretching) are code words that simplify physics, and you must explicitly state the implications in your answer.
最后,复习历年真题以识别高频术语。诸如“光滑”(无摩擦)、“轻质”(质量可忽略)、“不可伸长”(无拉伸)等词是简化物理过程的代码词,答题时必须明确阐述其含义。
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