牛津勤达 数学系列
感受数学之美的给孩子看的英文书
感受数学之美的给孩子看的英文书全文共3篇示例，供读者参考篇1Title: Exploring the Beauty of MathematicsIntroductionMathematics is more than just numbers and equations, it is a fascinating and intricate puzzle that challenges our minds and shapes the world around us. In this book, we will delve into the beauty of mathematics and explore its endless possibilities. Through engaging stories, colorful illustrations, and interactive activities, children will discover the magic of numbers and the wonders of geometry, algebra, and more.Chapter 1: The Power of PatternsFrom the mesmerizing spiral of a seashell to the symmetrical petals of a flower, patterns are everywhere in nature. In this chapter, children will learn how to recognize and create patterns using basic shapes and colors. Through hands-on activities such as drawing and coloring, they will develop a keen eye for symmetry and repetition.Chapter 2: The Joy of GeometryGeometry is the study of shapes and their properties, and it is the foundation of many mathematical concepts. In this chapter, children will explore the world of polygons, circles, and angles. They will learn how to measure and calculate areas and perimeters, and discover the beauty of tessellations and fractals.Chapter 3: The Wonder of NumbersNumbers are the building blocks of mathematics, and they hold endless mysteries waiting to be uncovered. In this chapter, children will learn about the history of numbers, from the ancient civilizations to modern mathematicians. They will explore the concepts of prime numbers, fractions, and decimals, and engage in fun games and puzzles to sharpen their numerical skills.Chapter 4: The Magic of AlgebraAlgebra is the language of equations and variables, and it is crucial for solving complex problems. In this chapter, children will embark on a journey through algebraic expressions, equations, and inequalities. They will learn how to simplify expressions, solve equations, and graph functions, giving them the tools to tackle real-world challenges with confidence.Chapter 5: The Beauty of CalculusCalculus is the study of change and motion, and it is a powerful tool for understanding the world around us. In this chapter, children will be introduced to the concepts of derivatives, integrals, and limits. They will explore the connection between calculus and physics, biology, and other sciences, and witness the beauty of mathematical modeling in action.ConclusionMathematics is a treasure trove of beauty and wonder, waiting to be explored by curious minds. By diving into the world of patterns, geometry, numbers, algebra, and calculus, children can unlock the secrets of the universe and unleash their creativity and problem-solving skills. This book is just the beginning of their mathematical journey, and I hope it inspires them to continue exploring the infinite possibilities of this fascinating field.篇2Title: Exploring the Beauty of Mathematics: A Book for ChildrenIntroductionMathematics is a beautiful and fascinating subject that is often misunderstood and feared by many children. However, it isessential to teach children about the beauty and wonders of mathematics from a young age to foster a love and appreciation for the subject. This book aims to introduce children to the beauty of mathematics in a fun and engaging way, helping them see the world through the lens of mathematics.Chapter 1: The Magic of NumbersIn this chapter, children will learn about the magic of numbers and how they are used in everyday life. From counting to discovering patterns and sequences, numbers are all around us. Children will explore the concept of symmetry, prime numbers, and the Fibonacci sequence, opening their minds to the beauty of mathematics.Chapter 2: The Language of ShapesShapes are everywhere, from the geometry of buildings to the symmetry of nature. In this chapter, children will learn about different geometric shapes, such as circles, squares, triangles, and polygons. They will discover the beauty of symmetry and tessellations, as well as the concept of fractals and the golden ratio.Chapter 3: The Art of Problem SolvingMathematics is not just about numbers and shapes but also about problem-solving. In this chapter, children will learn about different problem-solving strategies, such as breaking down a problem, looking for patterns, and using logical reasoning. They will explore puzzles, riddles, and games that challenge their minds and nurture their problem-solving skills.Chapter 4: The Power of PatternsPatterns are an essential part of mathematics, helping us make sense of the world around us. In this chapter, children will learn about different types of patterns, such as number patterns, shape patterns, and symmetry. They will discover how patterns are used in mathematics, art, music, and nature, showing them the interconnectedness of the world.Chapter 5: The Beauty of InfinityThe concept of infinity is both mind-boggling and beautiful. In this chapter, children will learn about different types of infinity, such as countable and uncountable infinity. They will explore the concept of limits, sequences, and series, as well as the infinite nature of fractals and the Mandelbrot set. Children will be amazed by the endless possibilities of infinity and its presence in mathematics and beyond.ConclusionMathematics is a subject full of wonder, beauty, and creativity. By introducing children to the beauty of mathematics at a young age, we can help them develop a love and appreciation for the subject. This book aims to inspire children to see the world through the lens of mathematics, encouraging them to explore, discover, and create with confidence and curiosity. Let's unlock the beauty of mathematics together and open the doors to endless possibilities.篇3Title: Discovering the Beauty of Mathematics: A Children's BookIntroduction:Mathematics is often seen as a difficult and intimidating subject, but in reality, it is a beautiful and fascinating field of study. Through this children's book, we aim to help young readers discover the beauty of mathematics and develop a deeper appreciation for the subject.Chapter 1: Introduction to MathematicsIn this chapter, we introduce the basic concepts of mathematics, such as numbers, shapes, and patterns. We explain how mathematics is all around us, from the natural world to the technology we use every day.Chapter 2: The Beauty of SymmetrySymmetry is a key concept in mathematics and can be found in nature, art, and architecture. In this chapter, we explore different types of symmetry and how they can be used to create beautiful designs.Chapter 3: Exploring PatternsMathematics is all about finding and understanding patterns. In this chapter, we look at different types of patterns, such as geometric patterns, number patterns, and fractals. We show how patterns can be both simple and complex, and how they can be found in nature and art.Chapter 4: The Magic of NumbersNumbers are the building blocks of mathematics, and they have many fascinating properties. In this chapter, we explore the beauty of numbers, from prime numbers to Fibonacci sequences. We also look at how numbers are used in everyday life, from telling time to measuring distances.Chapter 5: The Language of MathematicsMathematics has its own language, with symbols and equations that help us solve problems and communicate ideas. In this chapter, we introduce young readers to some basic mathematical symbols and show how they are used in equations.Chapter 6: The World of ShapesGeometry is a branch of mathematics that studies shapes and their properties. In this chapter, we explore different types of shapes, such as polygons, circles, and solids. We also look at how shapes are used in art and design.Conclusion:By the end of this book, we hope that young readers will have a better understanding of the beauty of mathematics and be inspired to explore the subject further. Mathematics is not just about solving equations - it is a way of thinking and seeing the world in a new light. We encourage children to embrace the beauty of mathematics and enjoy the journey of discovery that it offers.。
maclaurin series公式 高中 年级
maclaurin series公式高中年级
麦克劳林级数（Maclaurin series）是函数在x=0处的泰勒级数，也被称为麦克劳林公式。
这是一种特殊的泰勒公式，其形式为：
f(x) = f(0) + f'(0)x + f''(0)x^2/2! + f'''(0)x^3/3! + ... + f^n(0)x^n/n! + ...
其中，f^n(0)表示函数f在x=0处的n阶导数。
这个公式实际上是将函数f(x)在x=0处展开为一个无穷级数。
在高中阶段，通常会学习一些基本的幂级数展开，其中就包括一些常见的函数的麦克劳林级数展开。
例如，sin(x)和cos(x)的麦克劳林级数展开分别为：
sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ...
cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...
这些公式可以帮助我们理解和计算一些复杂函数的近似值，也可以用于解决一些与级数相关的问题。
人工智能的数学基础入门书籍 中文
随着人工智能技术的迅速发展，越来越多的人开始关注和学习人工智能的知识。
人工智能作为一门交叉学科，涉及到很多学科的知识，其中数学是人工智能的重要基础之一。
掌握人工智能的数学基础知识是学习人工智能的第一步。
本文将介绍一些适合初学者的人工智能数学基础入门书籍，帮助读者快速入门人工智能的数学世界。
1. 《深度学习》作者：Goodfellow，Bengio，Courville简介：这本书由深度学习领域的三位大咖Goodfellow、Bengio和Courville合作撰写，是一本权威的深度学习教材。
书中详细介绍了深度学习的数学基础，包括线性代数、概率论、信息论等内容。
适合想深入了解深度学习数学基础知识的读者。
2. 《统计学习方法》作者：李航简介：这本书是国内著名的机器学习教材，被誉为“统计学习领域的圣经”。
书中系统介绍了统计学习的基本概念和方法，涵盖了概率论、统计学、线性代数等数学知识。
适合希望从统计学习角度理解人工智能数学基础的读者。
3. 《机器学习》作者：周志华简介：周志华教授是我国著名的人工智能专家，这本书是他多年教学和研究的总结。
书中系统介绍了机器学习的理论和方法，包括概率图模型、支持向量机、神经网络等内容。
适合希望系统学习机器学习数学知识的读者。
4. 《线性代数及其应用》作者：Gilbert Strang简介：线性代数是人工智能领域中最基础的数学知识之一，这本书是一本经典的线性代数教材。
作者Gilbert Strang是麻省理工学院的教授，他生动有趣地讲解了线性代数的基本概念和应用，适合初学者入门线性代数。
5. 《概率论与数理统计》作者：吴冲简介：概率论和数理统计是人工智能和机器学习中常用的数学工具，这本书是一本系统介绍概率论和数理统计的教材。
作者吴冲是清华大学数学系的教授，他将概率论和数理统计的理论与实际应用相结合，便于读者理解和掌握。
以上是一些适合初学者的人工智能数学基础入门书籍推荐，读者可以根据自己的学习需求和兴趣选择合适的教材。
国外数学名著系列
国外数学名著系列一、欧几里得的《几何原本》二、卡尔·弗里德里希·高斯的《算术研究》《算术研究》是德国数学家卡尔·弗里德里希·高斯于1801年发表的一部关于数论的著作。
该书首次提出了同余理论，并系统研究了二次互反律、二次剩余等数论问题。
高斯在书中提出的许多理论和方法，对后来的数论研究产生了重要影响，奠定了现代数论的基础。
三、大卫·希尔伯特的《几何基础》《几何基础》是德国数学家大卫·希尔伯特于1899年出版的一部关于几何学的著作。
该书对欧几里得的《几何原本》进行了深刻的反思和改进，提出了几何学公理系统，并探讨了欧氏几何、非欧几何以及拓扑学等几何学分支的基本问题。
希尔伯特在书中提出的许多理论和方法，对20世纪数学的发展产生了重要影响。
四、约翰·冯·诺伊曼的《量子力学的数学基础》《量子力学的数学基础》是美国数学家约翰·冯·诺伊曼于1932年出版的一部关于量子力学的著作。
该书系统阐述了量子力学的数学原理，提出了希尔伯特空间、自伴算符等概念，并解决了量子力学中的许多基本问题。
冯·诺伊曼在书中提出的许多理论和方法，对量子力学的发展产生了重要影响，奠定了现代量子力学的基础。
五、安德烈·魏尔斯特拉斯的《函数论》《函数论》是德国数学家安德烈·魏尔斯特拉斯于19世纪中期发表的一系列关于函数论的论文。
这些论文系统研究了实数域上的连续函数、可微函数和解析函数，提出了魏尔斯特拉斯级数、魏尔斯特拉斯函数等概念。
魏尔斯特拉斯在书中提出的许多理论和方法，对现代分析学的发展产生了重要影响，奠定了实分析的基础。
本系列将陆续介绍更多国外数学名著，敬请期待。
希望这些著作能激发读者对数学的兴趣，为数学学科的发展贡献自己的力量。
六、勒内·笛卡尔的《几何学》《几何学》是法国哲学家、数学家勒内·笛卡尔于1637年发表的一部著作。
2024年大班数学《破译高手》教案一
2024年大班数学《破译高手》教案一一、教学内容本节课选自2024年大班数学教材第四章《有趣的数字》第三节《破译高手》。
主要内容是让学生通过观察、分析、推理等过程，掌握数字的排列规律，学会运用规律解决实际问题。
二、教学目标1. 知识与技能：学生能够理解数字排列规律的概念，掌握找出规律的方法，并能运用规律解决问题。
2. 过程与方法：培养学生观察、分析、推理的能力，提高学生的逻辑思维能力。
3. 情感态度与价值观：激发学生学习数学的兴趣，增强学生解决问题的自信心。
三、教学难点与重点1. 教学难点：找出数字排列规律，并运用规律解决实际问题。
2. 教学重点：培养学生观察、分析、推理的能力。
四、教具与学具准备1. 教具：PPT、数字卡片、磁性白板、破译题目卡片。
2. 学具：练习本、铅笔、橡皮。
五、教学过程1. 实践情景引入（5分钟）利用PPT展示一组数字：2、4、6、8、10。
引导学生观察这组数字，找出它们之间的关系。
2. 例题讲解（15分钟）（1）引导学生发现数字之间的排列规律。
（2）讲解如何运用发现的规律解决问题。
（3）举例说明，让学生巩固规律。
3. 随堂练习（15分钟）（1）发放破译题目卡片，让学生独立完成。
（2）邀请学生分享解题过程，点评解答方法。
5. 课堂小结（5分钟）教师对本节课的主要内容进行回顾，强调观察、分析、推理在数学学习中的重要性。
六、板书设计1. 数字排列规律：2、4、6、8、10（等差数列）3. 例题解答步骤4. 随堂练习题目七、作业设计3、6、9、12、（）2. 答案：15八、课后反思及拓展延伸1. 课后反思：关注学生在课堂中的参与度，了解学生对数字排列规律的理解程度，针对学生的掌握情况调整教学方法。
2. 拓展延伸：引导学生思考其他类型的数字排列规律，如等比数列、平方数列等，激发学生探索数学奥秘的兴趣。
重点和难点解析1. 教学难点与重点的确定2. 实践情景引入的设计3. 例题讲解的深度和广度4. 随堂练习的互动性和反馈5. 板书设计的逻辑性和清晰度6. 作业设计的针对性和拓展性7. 课后反思及拓展延伸的实际应用一、教学难点与重点的确定在教学过程中，应重点关注数字排列规律的发现和应用。
上教牛津number
May Still use what ？ abacuses Li _______
6 Li Computers are very powerful ones .
May Very powerful what? Li Calculating _________ _________ machines
7 Li
Egyptian
I ， II ， III ，IV ，V ，VI ，VII ，VIII ，IX ，X ，XI ，XII 。
Numbers: Everyone’s language
How many languages do you know ? Everyone knows at least two his or her own language and the international language of numbers. Ancient numbers Zero Calculating machines
A: How do you know ,Hi? B: I asked it what 6minus 6 was and it said nothing.
6-6=0
Calculating machines
abacus
computer electronic calculator
calculate
calculation
Brain against computer
Some people call the brain a living computer . Is a human brain a more powerful calculator than a computer ? The following story may give an answer .
高中数学 第一章 计数原理 1.5 二项式定理 牛顿一生成就素材 苏教版选修2-3
牛顿成就力学成就1679年，牛顿重新回到力学的研究中：引力及其对行星轨道的作用、开普勒的行星运动定律、与胡克和弗拉姆斯蒂德在力学上的讨论。
他将自己的成果归结在《物体在轨道中之运动》（1684年）一书中，该书中包含有初步的、后来在《原理》中形成的运动定律。
[7]《自然哲学的数学原理》（现常简称作《原理》）在埃德蒙·哈雷的鼓励和支持下出版于1687年7月5日。
该书中牛顿阐述了其后两百年间都被视作真理的三大运动定律。
牛顿使用拉丁单词“gravitas”（沉重）来为现今的引力（gravity）命名，并定义了万有引力定律。
在这本书中，他还基于波义耳定律提出了首个分析测定空气中音速的方法。
[7]由于《原理》的成就，牛顿得到了国际性的认可，并为他赢得了一大群支持者：牛顿与其中的瑞士数学家尼古拉·法蒂奥·丢勒建立了非常亲密的关系，直到1693年他们的友谊破裂。
这场友谊的结束让牛顿患上了神经衰弱。
[7]牛顿在伽利略等人工作的基础上进行深入研究，总结出了物体运动的三个基本定律（牛顿三定律）：第一定律（即惯性定律）任何一个物体在不受任何外力或受到的力平衡时（Fnet=0），总保持匀速直线运动或静止状态，直到有作用在它上面的外力迫使它改变这种状态为止。
第二定律①牛顿第二定律是力的瞬时作用规律。
力和加速度同时产生、同时变化、同时消逝。
②F=ma 是一个矢量方程，应用时应规定正方向，凡与正方向相同的力或加速度均取正值，反之取负值，一般常取加速度的方向为正方向。
③根据力的独立作用原理，用牛顿第二定律处理物体在一个平面内运动的问题时，可将物体所受各力正交分解，在两个互相垂直的方向上分别应用牛顿第二定律的分量形式：Fx=max，Fy=may列方程。
牛顿第二定律的六个性质：①因果性：力是产生加速度的原因。
②同体性：F合、m、a对应于同一物体。
③矢量性：力和加速度都是矢量，物体加速度方向由物体所受合外力的方向决定。
高等数学进口教材推荐
高等数学进口教材推荐随着全球化的发展和信息技术的迅猛进步，教育资源的国际化也成为现今教育领域的一个重要趋势。
在高等数学教育方面，引进国外的高质量教材不仅可以丰富我国教育资源，提高教学质量，还可以帮助学生更好地理解和掌握高等数学的理论和应用。
本文将向大家推荐几本高等数学的进口教材，希望能对大家在学习和教学上有所帮助。
1.《Calculus: Early Transcendentals》这本教材是由美国著名数学家James Stewart所著。
它以清晰的语言和丰富的图表展示了微积分的基本理论与应用，并注重培养学生的问题解决能力和数学思维。
教材的章节设置合理，内容丰富，既包含了必要的理论知识，又包含了大量的例题和习题，既能让学生理解概念，又能帮助学生掌握解题技巧。
此外，该教材还提供了详细的解答和讲解视频，方便学生自主学习。
2.《Mathematical Methods for Physics and Engineering》这是一本由英国数学家K. F. Riley、M. P. Hobson和S. J. Bence合著的教材。
作为一本面向物理和工程领域的高等数学教材，它介绍了许多与工程和物理相关的数学方法和技巧。
教材采用了系统化的教学方式，从基础数学知识出发，逐步引入高等数学的概念和方法。
书中提供了大量的实际案例和应用问题，帮助学生将理论知识与实际问题相结合，培养解决实际问题的能力。
3.《Advanced Engineering Mathematics》这本教材是美国数学家Erwin Kreyszig所著，被广泛应用于工科及相关专业的高等数学教育。
该教材以其全面性和实用性而闻名。
它涵盖了高等数学的各个分支，包括微积分、线性代数、常微分方程等，并结合了大量的工程应用，帮助学生理解数学与实际工程问题之间的联系。
教材内容深入浅出，注重理论与实践的结合，对于有志于从事工程领域的学生来说，具有非常高的参考价值。
数学数字的秘密生活火星来的天才读后感
数学数字的秘密生活火星来的天才读后感英文版The Secret Life of Mathematical Numbers: A Review of "The Genius from Mars"In the fascinating world of numbers and mathematics, "The Genius from Mars" takes readers on a journey of discovery, revealing the hidden secrets and remarkable applications of mathematical concepts in our daily lives. This book, written by a supposed Martian genius, offers a unique perspective on the beauty and complexity of mathematics, making it accessible and engaging for readers of all ages.The author, a supposed Martian, introduces readers to the wonders of mathematical numbers in a way that is both engaging and thought-provoking. Through a series of fascinating anecdotes and examples, the book explores the role of numbers in science, art, history, and even everyday life. The author's unique perspective as a Martian adds a layer ofmystery and intrigue, making the material more accessible and engaging.One of the most interesting aspects of the book is the way it connects mathematical concepts to real-world applications. The author demonstrates how numbers are used in everything from cryptography and computer science to architecture and music. This approach not only makes the material more relevant and interesting, but also helps readers to understand the practical importance of mathematics in our lives.The writing style of "The Genius from Mars" is both clear and concise, making the complexities of mathematical concepts easy to understand. The author's ability to communicate complex ideas in a simple and engaging manner is particularly noteworthy. Whether you're a math lover or a complete beginner, you'll find this book both informative and enjoyable.If you're looking for a book that will make you fall in love with mathematics, "The Genius from Mars" is an excellent choice. With its unique perspective, engaging anecdotes, andpractical applications, this book will open your eyes to the secret life of mathematical numbers and change the way you view the world.英文版数学数字的秘密生活：来自火星的天才读后感在数字和数学的迷人世界中，《来自火星的天才》引领读者踏上探索之旅，揭示数学概念在我们日常生活中的隐藏秘密和非凡应用。
新世代数学——精选推荐
FORM 4 中四級ENGLISH 英文1. Exam Skills Plus for the HKDSE – Paper 4 V olume 1 (Set A) Cole, Kent, Lam,Poon, Kong, etc.Oxford 128.002. The Elective SeriesLearning English through Poems and Songs Roseanne,Greenfield,ThongOxford 112.003. Progress Now Book 1 Fried, Grant, etc. Oxford 135.004. Thematic Anthology Book 1 (Set A) Davidson, etc. Oxford 122.005. Teach & Practise 4 for the HKDSEPaper 3 – Listening and Integrated Skills(With Student’s CD & Data File Book)Grace Chan Pilot 125.00*6. Collins COBUILD Advanced Learner’s EnglishDictionary (5th Ed.) (With CD-Rom) (Paperback)Collins 295.00 MATHEMATICS 數學7. 新世代數學4A、4B (隨4A冊附送應試手冊) 梁貫成、王志新牛津165.00190.008. New Century Mathematics 4A, 4B (Bk. 4A with Examination Handbook) K.S. Leung,C.S. WongOxford 165.00190.00PHYSICS 物理9. 新高中生活與物理1 熱和氣體【物理科適用】黃小玲、彭永聰牛津135.00 10. 新高中生活與物理2 力和運動【物理科適用】(附送應試手冊)黃小玲、彭永聰牛津255.0011. New Senior Secondary Physics at WorkBook 1 – Heat and Gases【For Physics】Wong Siu Ling,Pang Wing ChungOxford 135.0012. New Senior Secondary Physics at WorkBook 2 – Force and Motion【For Physics】(With Examination Handbook) Wong Siu Ling,Pang Wing ChungOxford 255.00CHEMISTRY 化學13. 化學探知(必修部分)第3冊 金屬、酸和鹽基馮子麟、王耀忠黃楚東文達180.00BIOLOGY 生物14. 新高中基礎生物學1A【生物科及組合科學適用】(附送中學文憑生物應試訓練) 容顯懷、何金滿何沃光、談國軒湯靈磐牛津148.0015. 新高中基礎生物學1B【生物科及組合科學適用】(附送中學文憑生物應試訓練) 容顯懷、何金滿何沃光、談國軒湯靈磐牛津115.0016. 新高中基礎生物學2【生物科適用】容顯懷、何金滿何沃光、談國軒湯靈磐牛津208.00* 參考書( 待續)17. New Senior Secondary Mastering Biology 1A【For Biology & Combined Science】(With HKDSE Biology Exam Practice) H.W. Yung,K.M. Ho, Y.K. Ho,K.H. Tam, L.P. TongOxford 148.0018. New Senior Secondary Mastering Biology 1B【For Biology & Combined Science】(With HKDSE Biology Exam Practice) H.W. Yung,K.M. Ho, Y.K. Ho,K.H. Tam, L.P. TongOxford 115.0019. New Senior Secondary Mastering Biology 2【For Biology】H.W. Yung, K.M. Ho,Y.K. Ho, etc.Oxford 208.00HISTORY 世界歷史20. 新視野世界歷史 主題甲何榮宗、徐振邦王淑琴 等香港教育圖書公司238.00GEOGRAPHY 地理21. 香港中學文憑 互動地理第一部 機會與風險第二部 管理河流和海岸環境麥家斌、謝萃輝蕭偉樂雅集98.0098.00(隨第一部附送學生DVD光碟及應試技巧手冊)*22. 袖珍世界地圖集(第四版) (2009) 齡記235.00 ECONOMICS 經濟23. 新視野經濟學4上、4下(附學習材料) 陳志文、郭偉強香港教育圖書公司174.00174.00INFORMATION AND COMMUNICATION TECHNOLOGY 資訊及通訊科技24. 新高中資訊及通訊科技(必修部分) 第1冊(附送學習光碟) 鄭志成、黎耀志邱少雄、杜家偉朗文268.0025. 新高中資訊及通訊科技(必修部分) 第2冊(附送學習光碟) 鄭志成、黎耀志邱少雄、杜家偉朗文268.0026. 新高中資訊及通訊科技必修部分作業第1冊鄭志成、黎耀志邱少雄、杜家偉朗文83.0027. 新高中資訊及通訊科技必修部分作業第2冊鄭志成、黎耀志邱少雄、杜家偉朗文83.00LIBERAL STUDIES 通識教育28. 新視野通識教育個人成長與人際關係 上冊 周黎明、陳家俊嚴漢基香港教育圖書公司110.0029. 新視野通識教育個人成長與人際關係 下冊 周黎明、陳家俊嚴漢基香港教育圖書公司110.0030. 新視野通識教育 公共衛生 上冊 梁秉中香港教育圖書公司110.00 31. 新視野通識教育 今日香港 上冊 許戴美霞香港教育圖書公司110.00 32. 新視野通識教育 今日香港 下冊 許戴美霞香港教育圖書公司110.00* 參考書( 待續)BUSINESS, ACCOUNTING & FINANCIAL STUDIES 企業企業、、會計與財務概論33. 新高中企業、會計與財務概論營商環境與管理導論(必修部分)(附溫習手冊)白祖根、林本利朗文205.0034. 新高中企業、會計與財務概論Frank Wood會計導論(必修部分)(附溫習手冊)盧志聰、Frank Wood 朗文155.00CHINESE 中國語文35. 新高中綜合中國語文第一、二冊王嘉傑、洪若震等朗文168.00168.00 CHINESE HISTORY 中國歷史36. 新探索中國史4上、4下陳漢森、張志義等齡記125.00125.00 COMBINED SCIENCE (PHYSICS + CHEMISTRY) 組合科學(物理 + 化學)37. 新高中生活與物理1 熱【組合科學適用】黃小玲、彭永聰牛津110.0038. 新高中生活與物理2 力和運動【組合科學適用】(附送應試手冊)黃小玲、彭永聰牛津220.00 39. 化學探知【組合科學】第3冊 金屬、酸和鹽基馮子麟文達155.00 COMBINED SCIENCE (BIOLOGY + CHEMISTRY) 組合科學(生物 + 化學)40. 新高中基礎生物學1A【生物科及組合科學適用】(附送中學文憑生物應試訓練) 容顯懷、何金滿何沃光、談國軒湯靈磐牛津148.0041. 新高中基礎生物學1B【生物科及組合科學適用】(附送中學文憑生物應試訓練) 容顯懷、何金滿何沃光、談國軒湯靈磐牛津115.0042. 新高中基礎生物學2【組合科學適用】容顯懷、何金滿何沃光、談國軒湯靈磐牛津145.0043. 化學探知【組合科學】第3冊 金屬、酸和鹽基馮子麟文達155.00 * 參考書。
高等数学 国外经典教材
高等数学国外经典教材在学习高等数学的过程中，选择一本好的教材是非常重要的。
国外的经典教材往往能够提供更为深入和广泛的知识内容，以及更加清晰和逻辑的讲解方式。
本文将介绍几本国外经典的高等数学教材，帮助读者选择适合自己的学习材料。
一、《Calculus: Early Transcendentals》《Calculus: Early Transcendentals》是由美国数学家James Stewart撰写的经典高等数学教材。
该书内容广泛，包括微积分、多元微积分等多个方面。
这本教材以其通俗易懂的语言和丰富的例题而闻名，能够帮助学生更好地理解高等数学的基本概念和计算方法。
同时，书中还包含了大量的挑战性问题，帮助学生拓展思维，提升数学应用能力。
二、《Linear Algebra and Its Applications》《Linear Algebra and Its Applications》由Gilbert Strang编写，是一本权威的线性代数教材。
线性代数是高等数学中的重要分支，广泛应用于各个领域。
这本教材系统地介绍了线性代数的基本理论和应用，包括向量空间、线性变换、特征值等内容。
它以清晰的逻辑和简明的讲解风格，帮助学生建立对线性代数的整体认识，并培养其解决实际问题的能力。
三、《Introduction to Probability Models》《Introduction to Probability Models》是由美国统计学家Sheldon Ross撰写的著作。
概率论是高等数学中的一门重要课程，也在实际生活中有广泛应用。
这本教材全面介绍了概率论的基本概念、方法和应用，如概率分布、随机变量、极限定理等。
与其他教材相比，该书在例题选择和解题技巧上更具有创新性，能够帮助学生更好地理解和掌握概率论的知识。
四、《Differential Equations and Their Applications》《Differential Equations and Their Applications》是经典的常微分方程教材，作者是美国数学家Martin Braun。
Edexcel功能性数学教学指南（二级）说明书
Chapter 7 Formulae and equationsSpecificationFS coverage and range Understand and use simple formulae and equations involvingone- or two-step operationsFS exemplification Substitute numbers into a formulaDerive a formula in wordsChanging the subject of a formulaInverse operationsFormulae may include bracketsGCSEGCSE specification N q Understand and use number operations and the relationshipsbetween them, including inverse operations and hierarchy ofoperationsA d Set up and solve simple equations including simultaneousequations in two unknownsA f Derive a formula, substitute numbers into a formula andchange the subject of a formulaEdexcel GCSE course Specification A:Foundation 1.5, 5.4, 5.6, 5.11, 9.4, 10.2, 21.1–21.7,28.1–28.6Higher Chapter 1, 2.2, 4.7, 13.1–13.5, 14.5, 16.4–16.5,19.5–19.8, 22.1–22.3Specification B:Foundation Unit 1: 3.1; Unit 2: 1.5, 3.4, 3.6, 3.11, 7.9, 8.4,13.1–13.4; Unit 3: 1.1, 3.1–3.7. 6.1–6.2Higher Unit 1: 2.1; Unit 2: Chapter 1, 3.7, 6.2–6.3, 7.2,10.2–10.3; Unit 3: 1.1–1.2, 3.4, 4.1–4.5, 5.5–5.6, 7.1–7.3 ResourcesGeneral resources Show-me boardsCalculatorsLinks /nutrition//od/formulas/u/MathForm.htm ActiveTeach resources VideoResultsPlus Knowledge CheckResultsPlus Problem SolvingQuestion AudioAnimationsObjectives●Choose appropriate values and variables●Substitute into formulae●Use the correct order of operations●Show methods in a clear and concise wayStarter●Give students quick-fire number questions based on the order of operations. Forexample, 2 + 2 ⨯ 3 and 2 ⨯ 3². Students should write their answers on show-me boards. Main teaching and learning●Use the Know Zone (p66) to clarify the importance of BIDMAS.●Introduce word formulae. Ask: What do word formulae describe? What is the differencebetween formulae and equations? What is a variable? With the use of an example,emphasise that each variable has many values and that the formula is a set of rules that describe the relationship between the different variables.●Ask students to list any formulae that they already know. Develop students’understanding by demonstrating how word formulae can be created, converted toalgebraic formulae and used to calculate values. Use one of the formulae suggested by students or the perimeter of a rectangle as an example.●Use the Know Zone to discuss good practice when setting out solutions, including statingthe values of variables at the start.●Ask students to find c if a = b + 2c, when a = 10 and b = 4. Share solutions verbally anddiscuss the process of finding variables which are not the subject of the formula.●Use the ResultsPlus Knowledge Check to ensure that students have the maths skillsneeded for the chapter. Ask students to complete Have a go Q1–3 (pp67–8).Issues and misconceptions●Students may be more familiar with BODMAS than BIDMAS. They may have learnt thatthe ‘O’ stands for ‘order’ or ‘over’. Clarify that ‘indices’ means the same as ‘order’.●Students may struggle to process information using a calculator when given a formula.Encourage students to work out the solution in small steps while focusing on BIDMAS.●In Q3, students may not realise that overtime hours have to be subtracted from totalhours to calculate basic hours.Support●For Q1, discuss how to calculate 5of 90. For Q3, encourage students to write a separate9line of working for each of the following: stating variables, substituting in, working out brackets, multiplying and dividing, adding, stating final answer.Extension●Ask students to construct a graph to show the relationship between F and C, given in Q1. Plenary●Pose the following question: A star is classified as variable if its apparent brightness asseen from Earth varies over time. Using what you know about variables in formulae, do you think astronomers came up with a good name?Formative assessment●Students peer-assess answers to Q1–3, in particular how the method has been set out. Homework●Ask students to list five everyday formulae. For example, speed = distance ÷ time.Objectives●Choose appropriate values from tables●Recognise when values need to be changed●Use mathematical techniques to change values●Explain the differences between two sets of data●Decide if the results are appropriateStarter●Ask students to complete some Level 1 ratio questions. For example, ask: If squash ismade from cordial and water in the ratio 1:4, how many litres of squash do 2 litres of cordial make? Class 10X has 33 students with a boy:girl ratio of 1:2. How many students in class 10X are girls?Main teaching and learning●Use Take a look: Calculating BMI (pp68–9) to discuss selecting appropriate values,checking values are in the correct units and using information from tables.●Give students some height and weight data and ask them to work out the BMI: h = 1.7 m,w = 93 kg (obese); h = 1.5 m, w = 40 kg (underweight); h = 165 cm, w = 60 kg (normal).More able students could be given the height and asked to calculate the required range of weights to achieve a normal BMI.●Read through Take a look: Slimming club and ask: What information is required and whatis redundant? What are you being asked to compare? Why is it important to set the work out in sections?●Ask students to complete Have a go Q4 and Q5.●Discuss Q6 and ask students: What do we know about Rochelle’s height? (Constant) Dowe need to calculate her current BMI?(No)Ask students to complete Q6.Issues and misconceptions●Ensure that students realise that the milk data in the table for Q4 (p70) is for 244 ml.●For Q6, ensure that students know that there are 12 inches in a foot.Support●For Q4, encourage students to find the nutritional information in 1 ml, then 150 ml (unitarymethod).●For Q5, remind students how to share a quantity in a given ratio. For example, share£220 in a ratio of 2:3.Extension●Ask students to write a statement for a member of the slimming club in Take a look:Slimming club, detailing the importance placed on calories, fat and fibre.Plenary●Pose the following question: A typical CD player spins a CD at a rate (r) of 131 cm/secand takes a time (t) of 73 minutes to play the whole CD. The length (l) of the spiral on a CD can be calculated using l = rt. Calculate the length of the spiral on a typical CD. Formative assessment●Ask students to peer-assess the calendar for Q6. Discuss what a reasonable level ofdetail is. For example, does it need to include every day of every month?Homework●Use the slimming club formula to investigate the points score for various foods. Nutritionalinformation can be found on food packaging or at /nutrition/.Objectives●Decide on a logical mathematical process●Use a variety of inputs to analyse the effect on the final solution●Write results to an appropriate degree of accuracy●Advise on a number of different outcomes●Draw conclusions and justify your solutionsStarter●Pose the following question:For a rectangle, if l = length, w = width and P = perimeter, which of the following are true?P = 2w + 2l P = 2l + 2w P = 2(l + w) P = lw2l = P – 2w 12P = l + w P2= l + w 2P = l + wEncourage students to consider what each formula represents.Main teaching and learning●Recap work from previous lessons. Ask: What is redundant information? Why is itimportant to check the defined units for each variable? How should solutions be set out?What is meant by the acronym BIDMAS?●Ask students to complete Have a go Q7 (p72).●Discuss Take a look: Insulation. Ask: What is the key information in the question? Howhas the solution been broken into steps? What is meant by the word ‘advise’?●Discuss Q8. Ask: What information is redundant? How can you break the problem intomanageable steps? Ask students to complete Q8.●Ask students to complete Q9.Issues and misconceptions●For Q8, ensure that students know that there are 12 inches in a foot.Support●For Q8, ask students to consider how they will find h, given that it is not the subject of theformula.Extension●Ask students to calculate the cement required for more complex 3D shapes, based on theinformation in Q9.Plenary●As a class, describe the role each variable plays in the formulae from Take a look:Insulation and Q7–9.Formative assessment●Show students model solutions to Q7–9 and discuss how they have chosen to set outtheir own work.Homework●Ask students to use the Know Zones throughout the Student Book to create a sheetdetailing all the formulae they need to know.●Ask students to consider how they might construct formulae for converting units ofmeasure.。
Mathematics Readers原版美国数学分级读物简介
Mathematics Readers
美国原版数学分级读物
—让您的孩子在家也能同步美国课程
什么是Mathematics Readers？
Mathematics Readers数学分级读物旨在培养英文阅读能力和数学思维逻辑能力，供美国本土K-6年级学生使用，获得美国教育出版学会颁发的金火炬奖（Golden Lamp Award）。
出版社：美国 Teacher Created Materials Publishing
适用年龄：K-6年级/ 5-12岁（中国读者参考样张）
难度：Reading level 0.2-6.9 Lexile BR-970L
册数：7个级别，16册/级
页数：32页/本
话题和难度
这套分级读物适合谁来使用？
•5-12岁亲子阅读使用，提高孩子英语阅读能力和构建数学思维；
•中学生孩子独立阅读使用，配有全彩图片，有助于理解大；
•全英文授课的国际学校使用。
教学配套
教师用书、电子版读物、课堂活动游戏、电子版测试包、现实数学问题解决方案
为什么推荐这套读物给大家？
这套读物拥有以下特点：
1、同一数学概念提供两本匹配读物，不同难度级别也将提供相同主题读物达到学习目的。
2、介绍数学词汇，将基本数学概念与学生熟悉的现实生活场景相结合，每本读物自带动手活动。
3、每本读物都含有“Let’s Explore Math”活动，培养孩子数学思维能力。
K级书目
六级书目。
感受数学之美的给孩子看的英文书
感受数学之美的给孩子看的英文书Title: Discovering the Beauty of Mathematics: A Children's BookIntroduction:Mathematics is often portrayed as a subject that is difficult or boring, but in reality, it is a beautiful and fascinating field of study that can be both fun and creative. This children's book is designed to help young readers discover the beauty of mathematics through engaging stories and illustrations that showcase the magic and wonder of numbers, shapes, patterns, and more.Chapter 1: The Magic of NumbersIn this chapter, children will embark on a journey to explore the world of numbers and discover how they can be used to solve puzzles, create designs, and even predict the future. Through interactive activities and games, readers will learn about the importance of numbers in our everyday lives and develop a deeper appreciation for the power and beauty of mathematics.Chapter 2: The Wonders of ShapesFrom circles and squares to triangles and polygons, shapes play a vital role in mathematics and the world around us. In this chapter, children will learn about the properties of different shapes, explore geometric patterns, and discover how shapes can be transformed and combined to create stunning works of art. By engaging with hands-on activities and creative challenges, readers will gain a new perspective on the beauty and versatility of shapes in mathematics.Chapter 3: The Joy of PatternsPatterns are everywhere in nature, art, and mathematics, and they have a unique beauty that can captivate and inspire us. In this chapter, children will learn about the power of patterns to create order and harmony in our world, as well as the role they play in solving problems and making predictions. Through exploration and experimentation, readers will uncover the secrets of patterns and uncover the hidden beauty that lies within them.Conclusion:Mathematics is a subject that is often misunderstood and underappreciated, but by exploring its beauty and wonder through stories and illustrations, children can develop a newfound love and appreciation for this fascinating field of study.This children's book is designed to spark curiosity, inspire creativity, and encourage young readers to see the magic and beauty of mathematics in everything around them. By embracing the joy and wonder of numbers, shapes, patterns, and more, children can unlock the limitless potential of mathematics and discover a world of infinite possibilities waiting to be explored.。
外国儿童数学入门书籍
外国儿童数学入门书籍
以下是一些适合外国儿童学习数学的入门书籍：
《Math Start》：这本书适合年龄较小的孩子，通过简单的数学概念和练习，帮助他们建立数学基础。
《The Number Garden》：这本书以有趣的方式介绍数字的概念，包括数字的大小关系、加减法等等。
《The Math Tree》：这是一本以故事形式讲解数学概念的绘本，适合年龄稍大的孩子。
通过生动的情节和丰富的插图，孩子们可以轻松理解数学概念。
《Math for Munchers》：这本书通过各种有趣的数学游戏和活动，帮助孩子学习数学基础知识和技能。
《The Math Book for Dummies》：这是一本相对较为深入的数学书，适合年龄稍大的孩子。
通过清晰、简单的语言和例子，这本书详细介绍了各种数学概念和技巧。
这些书籍都是外国儿童学习数学的优秀资源，可以帮助他们建立数学基础、理解数学概念、提高数学技能。
请注意，这些书籍可能不适合所有孩子，建议根据孩子的兴趣和需求选择适合的书籍。
美国最出名的高等数学教材
美国最出名的高等数学教材美国是世界上数学研究和教育水平相当高的国家之一。
在美国的高等教育领域，有许多著名的数学教材被广泛使用。
这些教材全面而深入地介绍了高等数学领域的基本概念、理论和应用。
本文将介绍一些美国最出名的高等数学教材。
1. Thomas' Calculus《Thomas' Calculus》是由George B. Thomas和Maurice D. Weir联合编写的一套经典数学教材。
该教材由许多高等院校作为高阶数学课程的主要教材使用。
它系统地介绍了微积分的基本概念、微分和积分的理论与计算方法，同时提供了大量的例题和习题供学生练习。
这本教材注重理论与实践的结合，使读者能够更好地理解和应用微积分知识。
2. Calculus: Early Transcendentals《Calculus: Early Transcendentals》是由James Stewart编写的一本备受赞誉的数学教材。
这本教材广泛使用在美国的高等院校中，并被许多教师和学生认为是学习微积分的最佳选择之一。
它涵盖了微积分的各个方面，包括导数、积分、级数和微分方程等。
该教材以清晰的写作风格和大量的图表、实例来解释数学概念，帮助学生更好地理解和掌握微积分知识。
3. Linear Algebra and Its Applications《Linear Algebra and Its Applications》是由David C. Lay编写的一本经典线性代数教材。
线性代数是高等数学中的一个重要分支，广泛应用于科学、工程和经济等领域。
这本教材介绍了线性代数的基本概念、理论和计算方法，并通过大量的例题和应用案例来帮助学生理解和应用这些概念。
它被许多大学作为线性代数课程的主要教材，被视为学习线性代数的经典著作之一。
4. Probability and Statistics for Engineering and the Sciences《Probability and Statistics for Engineering and the Sciences》是由Jay L. Devore编写的一本广泛使用的概率和统计学教材。
牛津通识读本：数学(中文版)
读书笔记
是链接高等数学的通识书，很好读，学到了很多原来以为很复杂的数学知识。 数学是我们发明出来理解这个世界的工具，它本身是没有意义的，我们之所以这样发明是因为对我们有好处， 对我们理解事物有帮助，仅此而已。 比一般的数学「科普书」要难很多。 数学要遵循规则。 举重若轻的从容，将数学基础的论域做了简洁的描述。 数学是伟大的数学是迷人的数学是美妙的数学是艰难的那些解决了数学难题的数学家付出了多少艰辛又取得 的了多大的幸福感。 通俗易懂，简言意骇，书籍并不厚，但这在于信息的压缩，需要尽可能的去挖掘信息背后的思想，也可以臆 想成解压缩。 这本书不知道是不是翻译的问题，还是数学家特有的表述方式问题，一些顺畅读起来不是非常顺畅，还是吴 军在得到的那个数学通识50讲更能吸引我。
目录分析
扔石头问题 何为数学模型
掷骰子问题 预测人口增长
气体的行为
大脑和计算机的模型 化
地图染色与时间表制 定
“抽象”一词的不同 含义
没有棋子的象棋
抽象方法
自然数
负数和分数 实数和复数
初探无穷大
把负数和分数放到指 数上
根号2的无理性 黄金分割比的无理性
圆的分割 毕达哥拉斯定理
缺角正方形网 格的铺地砖问
按照恩格斯的说法，数学是以现实世界的空间形式和数量关系为研究对象的。 我们应当学习抽象地思考，因为通过抽象地思考，许多哲学上的困难就能轻易地消除。 基本的观点：对于数学，不要问它是什么，而只要问它能做什么。 我们说数学是一个抽象的领域，这包含两层含义：一来它从问题中抽象出重要特征，二来它所处理的对象不 是具体的、有形的。 数学对象是其所做。 一种抽象的数学构造若是充分自然的，则基本上必能作为模型找到它的用途。 一个数系并不仅仅是一堆数字，而是由数字及算术规则共同构成的。
数学牛津通识读本
数学牛津通识读本【中英文实用版】英文文档：The Oxford Mathematics Primer is a series of books published by Oxford University Press that provides an introduction to various branches of mathematics.It is designed for individuals who are looking to gain a solid foundation in the subject without having prior knowledge or for those who want to refresh their memory.The series covers a wide range of topics, including algebra, calculus, geometry, and probability, among others.Each book in the series is written by a renowned expert in the field and is tailored to meet the needs of undergraduate students and anyone with an interest in mathematics.The Oxford Mathematics Primer is known for its clear and concise explanations, making it an ideal resource for self-study.The books are also accompanied by exercises and examples to help readers apply their knowledge and reinforce their understanding.With its comprehensive coverage and user-friendly approach, the Oxford Mathematics Primer is an invaluable tool for anyone seeking to enhance their understanding of mathematics.中文文档：《牛津数学入门》是由牛津大学出版社出版的一系列书籍，旨在为读者提供数学各个分支的入门知识。
牛津mat解析
牛津MAT解析牛津MAT（Oxford Mathematics Aptitude Test）是一种广泛用于英国和海外学生申请牛津大学的数学和物理专业入学考试的评估工具。
该测试旨在评估学生在数学和物理方面的基本概念、推理和问题解决能力。
以下是关于牛津MA T的一些关键点解析。
1.考试结构和内容牛津MAT考试包括两个部分，分别为数学和物理。
数学部分通常涵盖代数、几何、概率和统计等主题，而物理部分则涉及力学、电磁学、光学和量子力学等领域。
整个考试通常在2小时30分钟内完成，包括10道数学问题和10道物理问题。
2.难度和特点牛津MAT的难度较高，要求考生具备扎实的数学和物理基础，以及良好的推理和问题解决能力。
该测试的特点是题目较为深入，要求考生对概念有深入的理解，并能够灵活运用所学知识解决实际问题。
此外，牛津MAT还注重考查学生的逻辑思维和批判性思维能力。
3.准备和建议为了准备牛津MAT考试，学生需要具备扎实的数学和物理基础知识，并熟悉各种题型和解题技巧。
建议学生提前了解考试大纲和要求，针对自己的薄弱环节进行有针对性的复习和练习。
此外，参加模拟考试和获得专业指导也是提高考试成绩的有效途径。
4.录取标准和录取率牛津大学的录取标准因专业而异，但一般而言，学生需要在牛津MAT考试中取得较高的成绩，并在其他申请材料中表现出色，才能获得录取机会。
录取率因年份和专业而异，但通常竞争非常激烈。
值得注意的是，牛津大学不仅看重学术成绩，还重视学生的个人品质、综合素质和发展潜力。
综上所述，牛津MAT是一种高难度的入学考试，要求学生在数学和物理方面具备扎实的基础和良好的推理、问题解决能力。
为了准备该考试，学生需要提前了解考试大纲和要求，进行有针对性的复习和练习，参加模拟考试并获得专业指导。
同时，学生还需要注意提升个人品质、综合素质和发展潜力，以便在申请中脱颖而出。
数论 国外教材
数论国外教材
国外关于数论的优秀教材有很多，这里列举了一些经典和广受推崇的教材：
1. 《Elementary Number Theory and Its Applications》：由Kenneth H. Rosen所著，是一本广泛使用的初等数论教材，适合初学者和那些希望巩固数论基础的学生。
书中不仅介绍了数论的基本概念，还包含了许多实际应用。
2. 《Modular curves and the Eisenstein ideal》：由Mazur所著，这本书涉及到模形式和代数曲线，是研究生级别的深入教材，适合对数论有更深入研究需求的学生。
3. 《On modular representations arising from modular forms》：由Ribet所著，这本书同样属于高级数论领域，涉及模形式和表示理论，适合进阶学习。
4. 《FLT》：由Talor和Wiles合著，这本书是关于费马大定理的专著，适合对特定数论问题有深入研究兴趣的学生。
总的来说，这些教材各有侧重点，难度也有所不同，但都是数论领域内的名著。
对于理工科学生来说，这些书籍涵盖了大多数在学术研究或工作中可能需要用到的数学知识。
在选择教材时，应根据自己的学习阶段和研究兴趣来选择合适的书籍。
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牛津/勤達數學系列
HONG KONG ATTAINMENT TEST
MOCK PAPER
香港學科測驗
模擬試卷
Mathematics
數學
Pre-Secondary 1
中一入學前
2008
Time allowed for the test: 50 minutes
測驗時間︰50分鐘
Instructions:
1.This test contains two sections:
Section A: Questions 1 – 30
Section B: Questions 31 – 37
2.Answer ALL questions.
3.The use of calculator is not allowed.
學生須知︰
1. 本測驗卷共有兩部分︰
甲部︰第1至第30題
乙部︰第31至第37題
2. 全部題目均須作答。
3. 不准使用計算機。
Note:
Not all diagrams are drawn to scale.
SECTION A (60 marks)
Choose the correct answer. You only need to write down the letter preceding the selected answer. 注意︰
部分附圖不依比例繪畫。
甲部（60分）
選出正確答案。
學生只須填上所選答案前的英文字母。
9.
=÷+51221? A. 1
B.
1
1
C.
524 D.
6
54
A. B. C. D.
5 cm
18.
Jane made a box
using the above net. Which of
these shows the box that she made?
18.
阿珍用以上摺紙圖樣做一個紙盒。
下列哪個立體和她所做的紙盒 相似？
19.
The above shows an open box. Which of the following nets will NOT fold to make an open box?
19.
上圖顯示一個沒有蓋的紙盒。
下列哪一個摺紙圖樣不能摺出這類沒有蓋的紙盒？
A.
C.
B.
D.
N北
22. The above three solids P , Q and R are formed by cubes of the same size.
If each side of following is correct? A. V olume of Q is 8 cm 3 less than that of P . B. V olume of P is 40 cm 3. C. V olume of R is 56 cm 3.
D.
V olumes of P and R are the same.
22. 以上三個立體P 、Q 及R 都是由 大小相同的正方體組成，如果每個
2 cm ，以下哪一項是對的？ A. 立體Q 的體積比P 小8 cm 3。
B. 立體P 的體積是40 cm 3。
C. 立體R 的體積是56 cm 3。
D.
立體P 和R 的體積相同。
P Q R
4 cm
10 cm
9 cm 3 cm
10 cm
Alice
愛詩
Jane
珍兒
Bill
保義
Maria 美華
Peter
保德
Heights of 5 Children 5
名小孩的高度
Each
stands
for
10
cm
每個
代表
10
厘米
End of Section A
甲部完
SECTION B (40 marks)
Working steps must be shown in answering questions in this section unless specified otherwise. 乙部（40分）
除特別指明外，在回答本部問題時，須列出計算步驟。
34. Jason has cut a small rectangular prism from a
large cube, as shown in the diagram above. What
is the total surface area of the large solid and the
small solid? [4 marks] 34. 小津從大正方體梯切去了一個
小長方體（如上圖所示）。
這兩個
大小立體的總表面面積合共多少？
[4分]
5 cm
8
6 4 2
N u m b e r (i n t h o u s a n d s )
人數（千人）
0-19 20-39 40-59 60 or above 0-19
20-39
40-59
60或以上
Female
女性 Male 男性
Population of Males and Females in a Small City in 2008
2008年某小城市的男性和女性人口數字
Age groups 年齡組別
End of Test Paper 測驗卷完
Hong Kong Attainment Test Mock Paper
香港學科測驗模擬試卷
Pre-Secondary 1 Mathematics
中一入學前數學科
Answer Key & Marking Scheme
答案及評卷參考
Section A (60 marks)2marks each
甲部（60分）每題2分
16. 21. 26.
17. 22. 27.
18. 23. 28.
19. 24. 29.
20. 25. 30.
注意事項︰（適用於乙部）
(1) 算式或計算過程不正確，不給答案分。
(2) 只有答案，欠算式及計算過程，不給分。
(3) 算式表達欠佳，可酌量扣分。
(4) # 欠設題、文字解說、單位錯漏或計算過程表達欠佳，扣1分，全卷最多只扣3分。