Year 8 CCEA PE: Formula & Theorem Quick Reference Handbook | 八年级 CCEA 体育：公式定理速查手册

📚 Year 8 CCEA PE: Formula & Theorem Quick Reference Handbook | 八年级 CCEA 体育：公式定理速查手册

Welcome to your Year 8 CCEA PE formula handbook. This guide brings together the essential equations, principles and quick reference notes you need to understand exercise science, training methods and the human body in motion. Each entry provides the formula, a clear explanation and a practical example so you can apply the theory both in the classroom and during practical sessions.

欢迎使用八年级 CCEA 体育公式速查手册。本指南汇集了你需要掌握的基本方程、原理和快速参考笔记，帮助你理解运动科学、训练方法和运动中的人体。每个条目都给出公式、清晰的解释和实际示例，让你能够在课堂和实际操作中运用这些理论。

1. Maximum Heart Rate (MHR) | 最大心率

Maximum Heart Rate is the highest number of beats per minute (bpm) your heart can safely reach during intense exercise. The simplest way to estimate MHR for a young person is: MHR = 220 − age. This is a guideline, and actual maximum heart rates can differ between individuals based on genetics and fitness level. For a Year 8 student aged 12, the predicted MHR would be 208 bpm. Understanding your MHR helps you train in safe heart rate zones.

最大心率是你在高强度运动中每分钟心跳的最高安全次数。估算青少年最大心率的最简单方法是：最大心率 = 220 − 年龄。这是一条参考值，实际最大心率会因遗传和体能水平而有个体差异。对于一名12岁的八年级学生，预测最大心率约为208次/分。了解你的最大心率有助于你在安全的心率区间进行训练。

2. Heart Rate Reserve (HRR) | 储备心率

Heart Rate Reserve is the difference between your Maximum Heart Rate and your Resting Heart Rate (RHR). The formula is: HRR = MHR − RHR. This value shows how much your heart rate can increase from complete rest to all‑out effort. For example, if a 13‑year‑old has a resting heart rate of 70 bpm and an MHR of 207 bpm, their HRR is 137 bpm. A larger HRR often indicates a stronger, more efficient heart.

储备心率是你的最大心率与安静心率（RHR）之间的差值。公式为：储备心率 = 最大心率 − 安静心率。这个数值显示了你从完全休息到全力运动时心率可以上升的幅度。例如，一名13岁学生安静心率为70次/分、最大心率为207次/分，其储备心率就是137次/分。储备心率越大，通常意味着心脏更强壮、更高效。

3. Target Heart Rate Zone | 目标心率区间

To train safely and effectively, you need to work within a target heart rate zone. A common method uses the Karvonen formula: Target HR = (HRR × Intensity%) + RHR. For moderate aerobic exercise, intensity is typically 60 % to 80 % of HRR. Using the earlier example (HRR = 137, RHR = 70), a 70 % zone ensures you are working hard enough to improve fitness without overloading the heart.

为了安全有效地训练，你需要在目标心率区间内运动。常用的方法是卡沃宁公式：目标心率 = (储备心率 × 强度百分比) + 安静心率。对于中等强度有氧运动，强度通常取储备心率的60 %至80 %。以上面的数据为例（储备心率=137，安静心率=70），70 %的强度对应的目标心率约为 (137 × 0.70) + 70 ≈ 166次/分。这个区间能确保你的运动强度足以提升体能，同时又不会给心脏造成过度负荷。

4. Body Mass Index (BMI) | 身体质量指数

BMI is a screening tool used to estimate whether a person has a healthy body weight for their height. The formula is: BMI = weight (kg) ÷ height² (m²). For a student weighing 45 kg with a height of 1.55  dy fat directly, it is a useful starting point for discussing body composition and health risks. Remember that very muscular individuals may have a higher BMI without excess body fat.

BMI是一种筛查工具，用于估算一个人的体重相对于身高是否处于健康范围。公式为：BMI = 体重（千克）÷ 身高²（米²）。一名体重45千克、身高1.55米的学生，计算为45 ÷ (1.55 × 1.55) ≈ 18.7。虽然BMI并不直接测量体脂，但它是讨论身体成分和健康风险的一个有用起点。请记住，肌肉非常发达的人可能BMI偏高，但体脂并不超标。

5. Speed Calculation | 速度计算

Speed is a fundamental concept in many sports and is calculated by dividing the distance travelled by the time taken: Speed = Distance ÷ Time. For example, a runner covering 100 metres in 14.5 seconds has a speed of approximately 6.9 m/s. In practical PE lessons, you can measure your sprint, swimming or cycling speed using this simple formula. It also helps in analysing improvements over time.

速度是许多运动中的基本概念，通过用移动距离除以所用时间来计算：速度 = 距离 ÷ 时间。例如，一名跑步者用14.5秒跑完100米，速度约为6.9米/秒。在体育实践中，你可以用这个简单公式测量你的短跑、游泳或骑行速度。这也有助于分析随着时间推移的成绩进步。

6. Power Output | 功率输出

Power measures how quickly work is done and is especially important in explosive movements such as jumping and throwing. The formula is: Power = Work ÷ Time. Since work equals force times distance (covered in the next section), you can also write Power = (Force × Distance) ÷ Time. A higher power output means you can produce force rapidly, which is crucial for activities like sprint starts or shot put.

功率衡量做功的快慢，在跳跃和投掷等爆发性动作中尤为重要。公式为：功率 = 功 ÷ 时间。由于功等于力乘以距离（见下一节），你也可以写成功率 = (力 × 距离) ÷ 时间。较高的功率输出意味着你能快速产生力量，这对冲刺起跑或推铅球等活动至关重要。

广告 / Sponsored

7. Work Done | 做功

When a force moves an object through a distance, work is done. The equation in sports science is: Work = Force × Distance. Force is measured in newtons (N) and distance in metres (m), so work is expressed in newton‑metres, or joules (J). If you push a sled with a force of 200 N over 5 m, the work done is 1000 J. Understanding work helps you appreciate the physical cost of movements like lifting, pushing or carrying equipment.

当一个力使物体移动一段距离时，就做了功。运动科学中的方程为：功 = 力 × 距离。力的单位是牛顿（N），距离是米（m），因此功的单位是牛·米，也就是焦耳（J）。如果你用200牛的力推动一个雪橇移动5米，所做的功就是1000焦。理解功有助于你认识举、推或搬运器械等动作的体力消耗。

8. Calories Burned Estimation | 卡路里消耗估算

Estimating energy expenditure helps you understand the link between activity and nutrition. A rough estimation is: Calories burned = MET × Weight (kg) × Time (hours). MET stands for Metabolic Equivalent of Task. For instance, jogging at 8 km/h has a MET of about 8. A 50  ories (kcal). The actual value varies with efficiency and fitness, but the formula gives a useful baseline for comparing different sports.

估算能量消耗有助于你理解活动与营养之间的联系。一个粗略的估算方法是：消耗的卡路里 = 梅脱值 × 体重（kg） × 时间（小时）。MET是“任务代谢当量”的缩写。例如，以8公里/小时慢跑的MET值约为8。一名50千克的学生慢跑0.5小时大约消耗 8 × 50 × 0.5 = 200千卡。实际值会因运动效率和体能而有所不同，但这个公式为比较不同项目提供了有用的基准。

9. Force, Mass and Acceleration | 力、质量和加速度

Newton's second law states: Force = Mass × Acceleration. In sport, acceleration often comes from muscular force applied to the body or an object. When you kick a football, your foot accelerates the ball, and the force depends on the ball's mass (approx. 0.43 kg) and the acceleration you give it. A harder kick produces greater acceleration, resulting in a faster ball. This law explains why lighter balls are easier to throw but harder to kick for distance — mass matters.

牛顿第二定律指出：力 = 质量 × 加速度。在运动中，加速度通常来自施加于身体或物体的肌肉力量。当你踢足球时，脚使球加速，力的大小取决于球的质量（约0.43千克）和你赋予它的加速度。踢得越用力，加速度越大，球速就越快。这一定律解释了为什么较轻的球更容易投掷，但较难踢出远距离——质量起着关键作用。

10. Training Volume | 训练量

Training volume is a key concept in resistance training, calculated as: Volume = Sets × Repetitions × Load. For example, performing 3 sets of 12 squats with a 20 kg barbell results in a total volume of 3 × 12 × 20 = 720  me helps coaches track workload and adjust programmes progressively to avoid overtraining.

训练量是抗阻训练中的一个关键概念，计算公式为：训练量 = 组数 × 次数 × 负荷。例如，用20千克的杠铃做3组、每组12次深蹲，总训练量为 3 × 12 × 20 = 720千克。监测训练量有助于教练跟踪负荷，并逐步调整训练计划，避免过度训练。

11. Lever Principle | 杠杆原理

The body's joints act as levers, allowing movement and force application. A simple principle is: Effort × Effort Arm = Load × Load Arm. In a first‑class lever like the neck tilting the head back, the fulcrum lies between the effort and the load. In a third‑class lever such as the bicep curl, the effort lies between the fulcrum and the load, which favours speed and range of motion over force. Understanding levers helps improve technique in basketball shooting, tennis serving and gymnastics.

人体的关节充当杠杆，使我们能够运动和施加力。一个简单的原理是：施力 × 施力臂 = 负荷 × 负荷臂。在颈部仰头这类一类杠杆中，支点位于施力和负荷之间。而在二头肌弯举这类三类杠杆中，施力位于支点和负荷之间，这类杠杆以速度和运动幅度见长，而非力的大小。理解杠杆原理有助于改进篮球投篮、网球发球和体操等技术动作。

12. Principles of Training (FITT) | 训练原则（FITT）

Although not a mathematical formula, the FITT principle is a theorem for planning effective workouts. FITT stands for Frequency (how often), Intensity (how hard), Time (how long) and Type (the kind of exercise). For cardiovascular fitness, a Year 8 student might apply FITT as: Frequency — 3‑4 times per week; Intensity — 60‑75 % of MHR; Time — 30 minutes; Type — running, cycling or swimming. Applying FITT ensures continual progression and avoids plateaus.

尽管FITT原则不是一个数学公式，但它却是规划有效训练的理论。FITT代表频率（多久一次）、强度（多费劲）、时间（多长）和类型（运动种类）。为提高心肺功能，八年级学生可以这样应用FITT：频率——每周3‑4次；强度——最大心率的60‑75 %；时间——30分钟；类型——跑步、骑行或游泳。运用FITT原则可以确保持续进步，避免出现平台期。

---

Published by TutorHao | PE Revision Series | aleveler.com

更多咨询请联系16621398022（同微信）