📚 Year 7 WJEC Physics: Interdisciplinary Problem-Solving Practice | WJEC 七年级物理：跨学科综合题型训练
In Year 7 WJEC Physics, you discover that science never exists in isolation. Understanding motion, energy, electricity and forces frequently requires skills from mathematics, geography, biology and even music. This integrated question practice will help you apply physics to real-world, cross-curricular scenarios and build confidence for your assessments.
在 WJEC 七年级物理中，你会发现科学从来不是孤立的。理解运动、能量、电和力往往需要运用来自数学、地理、生物甚至音乐的知识与技能。本跨学科综合题型训练将帮助你把物理知识应用于真实的跨学科情境中，为你的评估建立信心。
1. Speed, Distance and Time: Linking Maths with Motion | 速度、距离与时间：数学与运动的结合
Calculating speed is one of the first places where physics meets mathematics. The core equation you use is:
计算速度是物理与数学最早交汇的地方之一。你会用到的核心方程是：
average speed = total distance ÷ total time (v = d ÷ t)
When a cyclist covers 30 km in 2 hours, their average speed is 15 km/h. But questions often ask you to convert units, for example turning minutes into hours or metres into kilometres. This requires careful place value and multiplication, skills from Year 7 maths.
当一名骑行者 2 小时行驶 30 km 时，平均速度为 15 km/h。但题目常要求你换算单位，比如把分钟化为小时或把米化为千米。这需要你运用七年级数学中的位值和乘法技巧。
Imagine a geography field trip where you measure the speed of a river by timing a floating orange over 20 metres. If the orange takes 8 seconds, the speed is 2.5 m/s. By converting to km/h you multiply by 3.6, giving 9 km/h — now you can compare with typical river data from a geography textbook. The same idea helps in biology when studying the speed of nerve impulses or a cheetah's sprint.
设想在一次地理实地考察中，你让一个橙子漂浮 20 米并计时。若橙子用时 8 秒，速度为 2.5 m/s。换算成 km/h 时乘以 3.6 得到 9 km/h——此时你就可以与地理课本中的典型河流数据作比较。同样的思路在生物学中研究神经冲动速度或猎豹冲刺时也会用到。
2. Energy Changes in a Roller Coaster: Geography and Design | 过山车中的能量变化：地理与设计
At the top of a roller coaster, the car has maximum gravitational potential energy (GPE). You calculate GPE using the equation:
当过山车到达最高点时，车厢具有最大的重力势能（GPE）。计算重力势能的公式为：
GPE = mass × gravitational field strength × height (GPE = m g h)
As the car descends, GPE is transferred into kinetic energy, making you feel faster. Designers must think about the local geography — a hill's natural slope can reduce the amount of steel needed. This connects physics with human geography and economics: the land's shape influences construction costs and energy efficiency.
当车厢下降时，重力势能转化为动能，让你感觉速度更快。设计师必须考虑当地的地理环境——利用天然坡地可以减少所需钢材的数量。这就将物理与人文地理和经济学联系了起来：地形影响着建造成本和能源效率。
000 × 10 × 25 = 1,250,000 J. In a geography context, you could discuss why this is only possible in hilly regions and why the roller coaster was not built on flat farmland.
在考试题中，你可能会得知满载列车的质量（5000 kg）和首次下坠高度（25 m）。可计算出损失的最大重力势能为 5000 × 10 × 25 = 1,250,000 J。在地理情境下，你可以讨论为何这只能在丘陵地区实现，以及为何过山车没有建在平坦的农田上。
3. Density and Floating: Biology's Buoyancy Tricks | 密度与漂浮：生物的浮力计谋
Density determines whether objects sink or float. You learn the formula:
密度决定了物体是沉还是浮。你学到的公式是：
density = mass ÷ volume (ρ = m ÷ V)
Water has a density of about 1 g/cm³. Many fish use a swim bladder to adjust their average density, a brilliant piece of biology. By adding or removing gas from the bladder, a fish can hover at any depth without wasting energy — a perfect cross-curricular link between buoyancy physics and adaptation in living organisms.
水的密度大约是 1 g/cm³。许多鱼类利用鱼鳔来调整自身平均密度，这是生物学上的精妙设计。通过向鱼鳔充气或放气，鱼可以悬停在任意深度而不消耗能量——这是浮力物理与生物适应之间的绝妙跨学科联系。
Exam-style task: a block of wood has a mass of 200 g and a volume of 250 cm³. Its density is 0.8 g/cm³, so it floats. If a biology student explains that a shark, which lacks a swim bladder, must constantly swim to avoid sinking, you can predict its average density is greater than 1 g/cm³. This type of reasoning shows deep understanding.
考试风格任务：一块木头的质量为 200 g，体积为 250 cm³。其密度为 0.8 g/cm³，所以它会漂浮。如果一位生物学学生解释说鲨鱼没有鱼鳔，必须不断游动以避免下沉，你就能推断出其平均密度大于 1 g/cm³。这类推理展示出深层次的理解。
4. Electrical Circuits and Energy Bills: Maths in the Home | 电路与电费单：家庭中的数学
In the electricity topic, you build circuits and measure current. But physics also teaches you how much energy home appliances use. The equation linking energy, power and time is essential:
在电学主题中，你会搭建电路并测量电流。但物理也会教你家用电器消耗多少能量。连接能量、功率和时间的方程至关重要：
energy transferred (J) = power (W) × time (s) (E = P t)
However, electricity companies use kilowatt-hours (kWh). This is a direct crossover with maths: you must convert watts to kilowatts and minutes to hours. A 2000 W heater used for 3 hours transfers 6 kWh. If each kWh costs 25p, the cost is £1.50. This is practical numeracy and helps you understand family energy bills — connecting physics with real-life financial maths.
然而，电力公司使用千瓦时（kWh）。这是与数学的直接交叉：你必须将瓦特转换为千瓦、分钟转换为小时。一台 2000 W 的取暖器使用 3 小时的耗能为 6 kWh。如果每千瓦时 25 便士，费用就是 1.50 英镑。这是实用的计算能力，能帮助你理解家庭能源账单——将物理与现实生活的财务数学联系起来。
To make it interdisciplinary, a question could give a table of appliances' power ratings and ask you to compare costs of watching television for an evening versus boiling a kettle multiple times — just as you might do in a maths data-handling exercise.
为了体现跨学科性，题目可以提供一个列出各种电器额定功率的表格，要求你比较整晚看电视和多次烧开水的费用——正如你在数学数据处理练习中可能会做的那样。
5. Light and the Human Eye: Physics Meets Biology | 光与人眼：物理遇见生物
The ray model of light explains how we see. Light travels in straight lines and reflects off objects into our eyes. In biology, you study the eye as a sense organ containing a lens, a retina and an optic nerve. The physics of refraction in the lens is what focuses an image onto the retina.
光线的模型解释了我们如何看见。光沿直线传播，从物体反射进入我们的眼睛。在生物学中，你学习眼睛作为一种感觉器官，包含晶状体、视网膜和视神经。晶状体中光的折射物理现象正是将影像聚焦在视网膜上的原理。
A typical integrated question might show a diagram of an eye with a ray of light entering, and ask you to continue the ray through the lens to the retina, using your physics knowledge of refraction toward the normal when entering a denser medium. You could then discuss, from a biology perspective, what happens if the eyeball is too long — causing short-sightedness. Physics and biology combine to explain how corrective lenses work.
典型的综合题可能会展示一幅眼睛的示意图，其中有一束光线射入，并要求你运用物理学中光进入较密介质时向法线偏折的知识，继续画出通过晶状体到达视网膜的光线。然后你可以从生物学角度讨论如果眼球过长会发生什么——造成近视。物理与生物共同解释了矫正镜片的工作原理。
6. Sound Waves and Music: Maths of Frequency | 声波与音乐：频率的数学
Sound is produced by vibrations, and the number of vibrations per second is the frequency, measured in hertz (Hz). This connects deeply with music: a higher frequency means a higher pitch. Many musical instruments, such as guitars, produce sound through standing waves on strings, which you will explore in more detail later in school.
声音由振动产生，每秒振动次数称为频率，单位是赫兹（Hz）。这与音乐紧密相连：频率越高，音调越高。许多乐器，如吉他，通过琴弦上的驻波产生声音，这些你今后在中学课程中会更加详细地探索。
On a basic level, if a tuning fork vibrates 440 times per second, its frequency is 440 Hz, which is the musical note A. A maths link appears when you halve the length of a vibrating string: the frequency doubles, giving a note one octave higher. This is a pattern of inverse proportion that you can plot on a graph.
在基础层面上，如果一把音叉每秒振动 440 次，其频率就是 440 Hz，也就是音乐中的 A 音。当你将振动弦长减半时，数学联系就出现了：频率加倍，产生高八度的音符。这是一个反比例模式，你可以在图表上绘制出来。
Integrated question: a science-music teacher asks you to design a simple string telephone. Using physics, you know the string must be tight to transmit vibrations efficiently. Using maths, you can measure the string length and predict that a shorter string will produce a higher note — linking materials, sound and numerical relationships.
综合题：一位科学与音乐老师请你设计一个简易的绳电话。利用物理知识，你知道绳子必须绷紧才能有效传递振动。利用数学，你可以测量绳长并预测较短的绳子会发出更高的音调——将材料、声音与数值关系联系起来。
7. Forces and Friction: Geography of Landslides | 力与摩擦：滑坡的地理
Friction is a force that opposes motion. On a slope, gravity pulls an object downwards, but friction between the object and the surface can hold it in place. When a slope becomes too steep, the component of weight down the plane exceeds the maximum friction, and a landslide can occur.
摩擦力是一种阻碍运动的力。在斜坡上，重力将物体向下拉，但物体与表面之间的摩擦力可以使其保持原位。当斜坡变得过于陡峭时，沿斜面向下的重力分量超过了最大静摩擦力，就会发生滑坡。
soil, reducing friction. With a simple diagram, you can show the forces: weight acting vertically, the normal reaction perpendicular to the slope, and friction acting up the slope. A calculation might involve finding the weight component down a 30° slope for a 10 kg rock: weight = 100 N, component = 100 × sin(30°) = 50 N. Although trigonometry is beyond Year 7, you can appreciate the idea that a steeper slope gives a larger downhill force.
这是地理与物理的绝佳交叉。你可以分析一个山坡案例：森林砍伐移除了固定土壤的树根，从而降低了摩擦力。通过简单示意图，你可以标出力：垂直向下的重力、垂直于斜坡的支持力，以及沿斜坡向上的摩擦力。计算可能涉及求一个 10 kg 岩石在 30° 斜坡上的下滑分力：重量为 100 N，分力为 100 × sin(30°) = 50 N。虽然三角学超出了七年级范围，但你可以理解更陡的斜坡产生更大下滑力的概念。
8. Heat Transfer and Climate: Physics in Geography | 热传递与气候：地理中的物理
There are three methods of heat transfer: conduction, convection and radiation. In geography, you study climate zones, ocean currents and the greenhouse effect. All of these depend heavily on the physics of heat transfer.
热传递有三种方式：传导、对流和辐射。在地理课中，你会学习气候带、洋流和温室效应。所有这些在很大程度上都取决于热传递的物理原理。
The Sun radiates energy through the vacuum of space (radiation). Earth's surface absorbs this and warms the air above, which then rises, creating convection currents that drive winds and weather patterns. Ocean currents also transfer heat globally via convection-like movements. A cross-curricular question might ask you to use the particle model to explain why sea breezes blow from the sea to the land during the day — the land heats up faster, the air above expands, becomes less dense and rises, pulling in cooler air from the sea.
太阳以辐射的形式穿过真空传递能量。地球表面吸收能量并加热上方的空气，暖空气上升，形成驱动风和天气模式的对流。洋流也通过对流式运动在全球范围传递热量。一个跨学科题目可能要求你用粒子模型解释为何白天海风从海洋吹向陆地——陆地升温更快，上方空气膨胀，密度变小而上升，从而将较冷的空气从海面吸引过来。
Understanding that carbon dioxide and methane trap infrared radiation (a type of heat transfer) helps you link the physics of radiation to the geography topic of climate change. This is a powerful integration of scientific literacy.
理解二氧化碳和甲烷会捕获红外辐射（一种热传递）有助于将辐射的物理与气候变化这一地理主题联系起来。这是科学素养的有力整合。
9. Speed of Sound and Echoes: Measuring Distances with Biology | 声速与回声：用生物学测量距离
ce the distance to the surface. Using the speed equation, you can calculate how far away a cliff is if you hear the echo after 2 seconds: distance = speed × time = 340 × 2 = 680 m there and back, so the cliff is 340 m away.
声音在空气中传播的速度约为 340 m/s。当声音遇到远处的表面反射回来时，就产生了回声。声音传播的总距离是到该表面距离的两倍。利用速度方程，如果你在 2 秒后听到回声，可以计算出悬崖的距离：距离 = 速度 × 时间 = 340 × 2 = 680 m（往返），因此悬崖在 340 m 之外。
This principle is used by bats and dolphins in a process called echolocation. In biology, you learn that these animals emit high-frequency sounds and interpret the returning echoes to navigate and hunt in complete darkness. The physics of wave reflection becomes a survival tool. An exam question may present you with a graph showing time between emitted pulses and returning echoes for a bat closing in on a moth, and ask you to describe how the distance is changing — combining data analysis, biology and physics.
这一原理被蝙蝠和海豚用于回声定位。在生物学中，你了解到这些动物发出高频声波，并解读返回的回声，以在完全黑暗的环境中导航和捕猎。波反射的物理现象成为了一种生存工具。考试题目可能会给你一张图表，展示蝙蝠逼近一只飞蛾时发出的脉冲与返回回声之间的时间间隔，然后要求你描述距离的变化——把数据分析、生物和物理结合起来。
10. Interpreting Distance-Time Graphs: The Story Behind the Line | 解读距离-时间图：线段背后的故事
Graphs are a universal language in STEM. A distance-time graph plots how far an object has travelled over time. The slope (gradient) tells you the speed. A horizontal line means the object is stationary. These graphs appear in maths, physics and even geography when studying traffic flow or migration patterns.
图表是 STEM 中的通用语言。距离-时间图描绘了物体在一段时间内移动了多远。斜率（梯度）告诉你速度。水平线段表示物体静止。这些图表出现在数学、物理甚至地理中，用来研究交通流或迁移模式。
Integrated analysis practice: a graph shows a journey split into three sections — a steep straight line, a less steep straight line, and a flat line. Using maths, you calculate the speed in the first section as 20 m/s (cycling), the second as 5 m/s (climbing a hill) and the third as 0 m/s (resting). In a geography context, you could discuss how the gradient represents a cyclist crossing a valley and a hill, linking the shape of the graph to the terrain's contour lines.
综合分析练习：一张图显示了一段分为三部分的旅程——一段陡峭的直线、一段较平缓的直线和一段水平线。运用数学，你计算出第一段的速度为 20 m/s（骑行），第二段为 5 m/s（爬坡），第三段为 0 m/s（休息）。在地理情境下，你可以讨论这些梯度如何呈现自行车手穿越山谷和山坡的过程，将图形形状与地形等高线联系起来。
Always remember to check the axes: if time is in minutes and distance in metres, you must handle units appropriately. This discipline is exactly the same careful approach needed in mathematics exams.
始终记得检查坐标轴：如果时间单位是分钟，距离单位是米，你就必须恰当地处理单位。这种严谨的态度与数学考试中所需的方式完全一致。
Published by TutorHao | Physics Revision Series | aleveler.com
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