📚 Year 8 OCR PE Quick Reference Formula & Principle Handbook | 8年级OCR体育公式定理速查手册
In Year 8 OCR Physical Education, knowing the right formulas and key training principles helps you understand how your body responds to exercise and how to improve performance safely. This quick reference handbook gives you the essential equations, laws, and concepts you will meet in your theory lessons, from heart rate calculations to lever systems and Newton's laws of motion. Use it to revise before tests or to check your knowledge when planning a personal training programme.
在 8 年级 OCR 体育课程中，掌握正确的公式和关键训练原则有助于你理解身体对运动的反应，以及如何安全地提高运动表现。这本速查手册汇集了你在理论课上会遇到的重要公式、定律和概念，从心率计算到杠杆系统和牛顿运动定律一应俱全。无论是在考试前复习，还是在制定个人训练计划时查阅，它都能帮你巩固知识。
1. Maximum Heart Rate (MHR) Formula | 最大心率公式
Your maximum heart rate is the highest number of beats per minute your heart can safely reach during all‑out exercise. The simplest way to estimate MHR is:
最大心率是指在进行全力运动时，心脏每分钟跳动的最快次数。估算最大心率最简单的方法是：
MHR = 220 − age (in years)
For a 12‑year‑ emember that this is only an estimate, and individual fitness levels can cause variations.
对于 12 岁的学生，最大心率 ≈ 220 − 12 = 208 次/分。请记住这只是估算值，个体体能水平的不同会导致实际数值有所变化。
2. Target Heart Rate Zones (Karvonen Formula) | 靶心率区间（卡沃宁公式）
To train effectively you need to work within a target heart rate zone. The Karvonen formula uses your resting heart rate (RHR) for a more personalised range:
要想高效训练，你需要将心率控制在靶心率区间内。卡沃宁公式采用安静心率（RHR）来提供更个性化的训练区间：
Target HR = RHR + (Intensity × (MHR − RHR))
Common intensities: 60–70% for moderate aerobic work and 70–85% for vigorous aerobic training. First, calculate your heart rate reserve (MHR − RHR), then multiply by the desired intensity and add your RHR.
常见强度：中等有氧训练为 60–70%，较大强度有氧训练为 70–85%。首先计算出储备心率（MHR − RHR），然后乘以目标强度百分比，再加上安静心率即可。
3. Body Mass Index (BMI) | 身体质量指数
BMI is a simple measure used to classify whether a person's weight is healthy for their height:
BMI 是一种用于根据身高评估体重是否健康的简单指标：
BMI = weight (kg) ÷ height² (m²)
l, BMI = 45 ÷ (1.50 × 1.50) = 20.0 kg/m². This falls within the healthy weight range (18.5– scle and fat, so very muscular young athletes may have a high BMI without excess body fat.
如果一名学生体重 45 公斤，身高 1.50 米，则 BMI = 45 ÷ (1.50 × 1.50) = 20.0 公斤/米²，属于健康体重范围（18.5–24.9）。BMI 无法区分肌肉和脂肪，因此肌肉发达的青年运动员可能 BMI 偏高但并无多余体脂。
4. FITT Principle | FITT 原则
The FITT principle helps you design a safe and effective training programme by adjusting four variables:
FITT 原则通过调整四个变量，帮助你设计安全有效的训练计划：
- Frequency – how often you train (e.g. 3 times a week).
频率 —— 训练的频率（例如每周 3 次）。 - Intensity – how hard you work (e.g. % of MHR).
强度 —— 训练的困难程度（例如最大心率百分比）。 - Time – how long each session lasts (e.g. 30 minutes).
时间 —— 每次训练的持续时间（例如 30 分钟）。 - Type – the kind of exercise (e.g. running, cycling).
类型 —— 运动的种类（例如跑步、骑自行车）。
Applying the FITT principle ensures gradual progression and reduces the risk of injury.
运用 FITT 原则可以确保渐进式进步，并降低受伤风险。
5. SPORT Principles of Training | 训练原则（SPORT）
The SPORT acronym summarises key training principles that help improve fitness over time:
SPORT 缩写概括了有助于长期提升体能的关键训练原则：
- Specificity – training must match the demands of the sport.
专一性 —— 训练必须与运动项目的要求相匹配。 - Progression – gradually increase the workload.
渐进性 —— 逐渐增加训练负荷。 - Overload – work harder than normal to cause adaptation.
超负荷 —— 比平时更努力地训练以引起身体适应。 - Reversibility – fitness is lost when training stops.
可逆性 —— 训练停止后体适能会下降。 - Tedium – vary training to avoid boredom.
多样性 —— 变换训练方式以避免枯燥。
Together with FITT, these principles form the basis of any well‑structured training plan.
与 FITT 原则结合，这些基本原则构成了任何结构良好的训练计划的基础。
6. Lever Systems | 杠杆系统
In the body, bones act as levers, joints as fulcrums, muscles provide effort, and the weight of the body part or external object acts as the load. There are three classes of lever:
在人体中，骨骼起到杠杆作用，关节是支点，肌肉提供动力，而身体某部分的重量或外部物体则构成阻力。杠杆分为三类：
| Class | 类别 | Arrangement | 排列 | Example | 示例 |
|---|---|---|
| First class | 第一类 | Fulcrum between effort and load | 支点在动力和阻力之间 | Neck extending | 颈部后伸 |
| Second class | 第二类 | Load between fulcrum and effort | 阻力在支点和动力之间 | Standing on tiptoes | 踮脚尖站立 |
| Third class | 第三类 | Effort between fulcrum and load | 动力在支点和阻力之间 | Biceps curl | 肱二头肌弯举 |
Most levers in the human body are third class, which favour speed and range of movement over strength.
人体中的大多数杠杆属于第三类，这类杠杆以速度和运动幅度为优势，而不是力量。
7. Newton's Laws of Motion | 牛顿运动定律
Newton's three laws explain how forces affect movement, which is vital for understanding sprint starts, throwing, and tackling.
牛顿三大定律解释了力如何影响运动，这对理解短跑起跑、投掷和擒抱等动作至关重要。
First Law (Inertia): An object remains at rest or moves at a constant speed in a straight line unless a resultant force acts on it. In a 100 m race, a sprinter stays stationary in the blocks until the leg muscles push against them.
第一定律（惯性）： 若无合外力作用，物体将保持静止或匀速直线运动状态。在百米赛跑中，短跑运动员只有腿部肌肉对起跑器施加推力后才会从静止状态启动。
Second Law (F = ma): Acceleration is directly proportional to force and inversely proportional to mass. A lighter athlete can accelerate more quickly given the same force.
第二定律（F = ma）： 加速度与力成正比，与质量成反比。在同样大小的力作用下，体重较轻的运动员能够更快地加速。
Third Law (Action‑Reaction): For every action force there is an equal and opposite reaction force. When a swimmer pushes water backwards, the water pushes the swimmer forwards.
第三定律（作用力与反作用力）： 每一个作用力都有一个大小相等、方向相反的反作用力。游泳者向后推水时，水同时向前推游泳者。
8. Calculating Speed, Distance, Time | 速度、距离、时间计算
Use the magic triangle to relate speed, distance, and time:
运用神奇三角形可以建立速度、距离和时间三者之间的关系：
Speed (m/s) = Distance (m) ÷ Time (s)
Distance ÷ Speed. For example, if a runner covers 200 m in 25 s, speed = 200 ÷ 25 = 8 m/s.
求距离：距离 = 速度 × 时间。求时间：时间 = 距离 ÷ 速度。例如，一名跑者 25 秒跑完 200 米，则速度 = 200 ÷ 25 = 8 米/秒。
9. Force, Mass, and Acceleration | 力、质量和加速度
This relationship comes directly from Newton's second law and is used to analyse how athletes generate and control forces:
这一关系直接来自牛顿第二定律，用于分析运动员如何产生和控制力量：
Force (N) = Mass (kg) × Acceleration (m/s²)
rted is 8 × 3 = 24 N. Reducing mass or increasing acceleration changes the force required.
如果一位网球运动员使 8 公斤的实心球获得 3 米/秒² 的加速度，那么施加的力就是 8 × 3 = 24 牛。减小质量或提高加速度都会改变所需的力。
10. Aerobic and Anaerobic Thresholds | 有氧阈与无氧阈
These thresholds mark the shift between energy systems and are usually expressed as percentages of MHR.
这些阈值标志着供能系统之间的转换，通常以最大心率的百分比来表示。
Aerobic threshold: Approximately 60–70% MHR. Below this intensity, the body mainly uses oxygen to break down fuels and you can sustain exercise for a long time.
有氧阈： 大约为最大心率的 60–70%。在低于此强度的运动下，身体主要依靠氧气分解燃料，你能够长时间维持运动。
Anaerobic threshold: Around 80–90% MHR. Beyond this point, lactic acid accumulates quickly, causing muscle fatigue and forcing you to slow down.
无氧阈： 大约在最大心率的 80–90%。超过此强度后，乳酸迅速堆积，引起肌肉疲劳，迫使运动速度下降。
Training near these thresholds improves the body's ability to tolerate and clear lactate.
在阈值附近进行训练，可以提高身体耐受和清除乳酸的能力。
11. The Principle of Overload | 超负荷原则
To improve fitness, you must stress your body beyond its current capacity. Overload can be achieved by increasing frequency, intensity, or time – the FIT variables. The rate of progression should be gradual to avoid injury.
要想提升体能，必须让身体承受超出当前能力的负荷。超负荷可以通过增加频率、强度或时间（FIT 变量）来实现。进步的速度应是渐进的，以避免受伤。
A simple rule for increasing training load is the 10% rule: do not increase total training volume by more than 10% per week.
增加训练负荷的一个简单法则是10% 原则：每周的总训练量增幅不应超过 10%。
12. Mechanical Advantage | 机械优势
Mechanical advantage tells you whether a lever system multiplies force or speed. It is calculated as:
机械优势表明一个杠杆系统是放大了力还是放大了速度。它的计算公式是：
Mechanical Advantage = Effort arm ÷ Load arm
The effort arm is the distance from the fulcrum to the point where the muscle pulls. The load arm is the distance from the fulcrum to the load. A mechanical advantage greater than 1 means the lever amplifies force (as in a second‑class lever), while a value less than 1 means it amplifies speed and range (typical of third‑class levers in the body).
动力臂是从支点到肌肉施力点的距离。阻力臂是从支点到阻力作用点的距离。机械优势大于 1 意味着杠杆放大力量（如第二类杠杆），而小于 1 则意味着放大速度和活动范围（如人体中典型的第三类杠杆）。
This concept explains why a small muscle force can produce a large movement at the end of a limb, but at the cost of lower force output.
这一概念解释了为什么较小的肌肉力量能够使肢体末端产生大幅度的运动，但代价是较小的力量输出。
Published by TutorHao | PE Revision Series | aleveler.com
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