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IB16 11_9702_11/4RP ? UCLES 2016

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*5340221462*

Cambridge International Examinations

Cambridge International Advanced Subsidiary and Advanced Level

PHYSICS 9702/11

Paper 1 Multiple Choice October/November 2016

1 hour 15 minutes

Additional Materials: Multiple Choice Answer Sheet

Soft clean eraser

Soft pencil (type B or HB is recommended)

READ THESE INSTRUCTIONS FIRST

Write in soft pencil.

Do not use staples, paper clips, glue or correction fluid.

Write your name, Centre number and candidate number on the Answer Sheet in the spaces provided unless this has been done for you. DO NOT WRITE IN ANY BARCODES.

There are forty questions on this paper. Answer all questions. For each question there are four possible answers A , B , C and D .

Choose the one you consider correct and record your choice in soft pencil on the separate Answer Sheet.

Read the instructions on the Answer Sheet very carefully.

Each correct answer will score one mark. A mark will not be deducted for a wrong answer. Any working should be done in this booklet. Electronic calculators may be used.

? UCLES 2016 9702/11/O/N/16

Data

speed of light in free space c = 3.00 × 108 m s –1

permeability of free space μ0 = 4π × 10–7 H m –1 permittivity of free space

ε0 = 8.85 × 10–12 F m –1

(

επ = 8.99 × 109 m F –1)

elementary charge e = 1.60 × 10–19 C the Planck constant h = 6.63 × 10–34 J s unified atomic mass unit 1 u = 1.66 × 10–27 kg rest mass of electron m e = 9.11 × 10–31 kg rest mass of proton m p = 1.67 × 10–27 kg molar gas constant R = 8.31 J K –1 mol –1 the Avogadro constant N A = 6.02 × 1023 mol –1 the Boltzmann constant k = 1.38 × 10–23 J K –1 gravitational constant G = 6.67 × 10–11 N m 2 kg –2 acceleration of free fall g = 9.81 m s –2

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Formulae

uniformly accelerated motion s = ut + 221

v 2 = u 2 + 2as work done on/by a gas W = p ?V

gravitational potential φ = – r Gm

hydrostatic pressure p = ρ gh

pressure of an ideal gas p = V Nm 31

simple harmonic motion a = – ω 2x velocity of particle in s.h.m. v = v 0 cos ωt

v = ± ω )(220x x ?

Doppler effect o f = s

s v v v

f ±

electric potential V =

Q 04επ capacitors in series 1 / C = 1 / C 1 + 1 / C 2 + . . . capacitors in parallel C = C 1 + C 2 + . . .

energy of charged capacitor W = QV 21

electric current I = Anvq resistors in series R = R 1 + R 2 + . . . resistors in parallel 1 / R = 1 / R 1 + 1 / R 2 + . . . Hall voltage

V H =

ntq

B I

alternating current/voltage x = x 0 sin ωt radioactive decay x = x 0 exp(–λt )

decay constant

λ = 2

0.693t

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What is the order of magnitude of the Young modulus for a metal such as copper? A 10–11 Pa

B 10–4 Pa

C 104 Pa

D 1011 Pa

2 The force F between two point charges q 1 and q 2, a distance r apart, is given by the equation

F = 2

21r q kq

where k is a constant.

What are the S I base units of k ?

A kg m 3 s –4 A 2

B kg m 3 s –4 A –2

C kg m 3 A 2

D kg m 3 A –2

3 An aeroplane can fly at a velocity X when moving through still air. When flying in wind the

aeroplane’s velocity relative to the ground is Y .

Which vector diagram shows the magnitude and direction of the wind velocity W ?

A B C D

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4 A voltmeter gives readings that are larger than the true values and has a systematic error that varies with voltage.

Which graph shows the calibration curve for the voltmeter?

210

012A

34meter reading / V true

value /

210

012B

meter reading / V

true

value / V

210

meter reading / V

true

value / V

210

meter reading / V true

value / V

5 length of 10.0

A 7.1 × 10–6 s

B 1.4 × 10–5 s

C 7.1 × 10–3 s

D 1.4 × 10–2 s

6 A cyclist pedals along a raised horizontal track. At the end of the track, he travels horizontally into

the air and onto a track that is vertically 2.0m lower.

The cyclist travels a horizontal distance of 6.0m in the air. Air resistance is negligible.

What is the horizontal velocity v of the cyclist at the end of the higher track?

A 6.3m s–1 B

s–1

m s–1, as shown.

8.00

4.00m s–1

The acceleration of free fall on the Moon is 1.62m s–2.

What will be the speed of the ball 9.00s after being thrown?

A 6.6m s–1

B 7.7m s–1

C 10.6m s–1

D 14.6m s–1

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8 A car is travelling at constant velocity. At time t = 0, the driver of the car sees an obstacle in the road and then brakes to a halt. The graph shows the variation with t of the velocity of the car.

00.8 5.0

t / s velocity / m s –1

How far does the car travel in the 5.0 s after the driver sees the obstacle? A 16 m

B 42 m

C 58 m

D 84 m

9 A car is stationary at traffic lights. When the traffic lights change to green, the driver presses

down sharply on the accelerator. The resultant horizontal force acting on the car varies with time as shown.

Which graph shows the variation with time of the speed of the car?

10 A beach-ball falls vertically from a high hotel window. Air resistance is not negligible.

Which graph shows the variation with time t of the acceleration a of the ball?

11 A car has mass m. A person needs to push the car with force F in order to give the car

acceleration a. The person needs to push the car with force 2F in order to give the car acceleration 3a.

Which expression gives the constant resistive force opposing the motion of the car?

A ma B2ma C3ma D4ma

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12 A box is shown resting on the ground. Newton’s third law implies that four forces of equal

magnitude are involved. These forces are labelled P, Q, R and S.

Forces P and Q act on the box. Forces R and S act on the Earth.

For clarity, the forces are shown slightly separated.

ground

Which statement about the forces is correct?

A P is the equal and opposite force to Q and both are forces of contact.

B Q is the equal and opposite force to P and both are gravitational forces.

C R is the equal and opposite force to S and both are forces of contact.

D S is the equal and opposite force to Q and both are gravitational forces.

13Two spheres travel along the same line with velocities u1 and u2. They collide and after collision

Which collision is not elastic?

u1/m s–1u2/m s–1v1/m s–1v2/m s–1

A 2 –5 –5 –2

B 3 –3 0 6

C 3 –2 1 6

D 5 2 3 6

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14 A submarine has circular windows of diameter 0.30 m. The windows can experience a maximum

external pressure of 660 kPa before they crack.

What is the minimum external force needed to crack the windows?

A 47 000 N

B 190 000 N

C 310 000 N

D 620 000 N

15 Four beams of the same length each have three forces acting on them.

Which beam has both zero resultant force and zero resultant torque acting?

90 N A

106 N B

63 N

112 N

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Which diagram shows the directions of the horizontal and vertical forces acting on the ends of the beam?

B C D

17 A hydroelectric power station uses the gravitational potential energy of water to generate

electrical energy.

In one particular power station, the mass of water flowing per unit time is 1.5 × 105 kg s –1. The water falls through a height of 120 m.

The electrical power generated is 100 MW.

What is the efficiency of the power station?

A 5.6%

B 43%

C 57%

D 68%

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18 An engine transforms thermal energy into mechanical work. The engine takes in thermal energy

Q in from a heat source and gives out thermal energy Q out to a heat sink, producing useful work W .

heat source

engine

heat sink

in W

out

What is the efficiency of this engine? A

out

in Q Q W + B

out

in Q Q W ? C

Q W D

out

Q W

19 A truck of mass 500 kg moves from rest at the top of a section of track 400 m long and 30 m high,

as shown. The frictional force acting on the truck is 250 N throughout its journey.

What is the final speed of the truck? A 14 m s –1

B 24 m s –1

C 31 m s –1

D 190 m s –1

20 Which condition must apply for the work done by an expanding gas to be p ?V , where p is the

pressure of the gas and ?V is its change in volume?

A No thermal energy must be supplied to the gas.

B The expansion must be at a constant rate.

C The pressure must be constant.

D The temperature of the gas must be constant.

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21 A metal wire is stretched to breaking point and the force-extension graph is plotted.

Which graph is correctly labelled with the elastic region, the plastic region and the area representing the work done to stretch the wire until it breaks?

force / plastic A force / elastic B

force / force / plastic D

22 A copper wire hangs vertically from a fixed point. A load is attached to the lower end of the wire

producing an extension x . The wire obeys Hooke’s law.

Which single change gives an extension 2x ?

A Halve the cross-sectional area of the wire.

B Halve the diameter of the wire.

C Halve the length of the wire.

D Halve the load on the wire.

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Which row correctly identifies the principal radiation for each of these wavelengths?

10–14 m 10–10

m 10

–6 m 10–2 m 102 m A gamma ray X-ray infra-red microwave radio wave B radio wave microwave infra-red X-ray gamma ray C radio wave

microwave

ultraviolet

infra-red

X-ray

X-ray infra-red ultraviolet microwave radio wave

24 The diagram shows an experiment to produce a stationary wave in an air column. A tuning fork,

placed above the column, vibrates and produces a sound wave. The length of the air column can be varied by altering the volume of the water in the tube.

tuning fork

The tube is filled and then water is allowed to run out of it. The first two stationary waves occur when the air column lengths are 0.14 m and 0.42 m.

What is the wavelength of the sound wave?

A 0.14 m

B 0.28 m

C 0.42 m

D 0.56 m

s X

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26 The warning signal on an ambulance has a frequency of 600 Hz. The speed of sound is 330 m s –1.

The ambulance is travelling with a constant velocity of 25 m s –1 towards an observer.

initial position

of ambulance final position

of ambulance

observer

Which overall change in observed frequency takes place between the times at which the

ambulance is a long way behind the observer and when it is a long way in front of the observer? A 49 Hz

B 84 Hz

C 91 Hz

D 98 Hz

27 Diagrams X and Y show the passage of water waves around an obstacle and through a gap.

The thick lines are barriers to the waves and each thin line represents a wavefront.

Which statement is correct?

A Diagrams X and Y both illustrate diffraction.

B Diagrams X and Y both illustrate interference.

C Only diagram X illustrates interference.

D Only diagram Y illustrates diffraction.

vibration up and down end

A 0

29 A diffraction grating is used to measure the wavelength of monochromatic light.

The spacing of the slits in the grating is 1.15 × 10–6m. The angle between the first order diffraction maxima is 60.0°, as shown in the diagram.

monochromatic

light

What is the wavelength of the light?

A 288nm

B 498nm

C 575nm

D 996nm

30Which path shows a possible movement of an electron in the electric field shown?

31The diagram shows an electric field pattern caused by two positive and two negative point charges of equal magnitude placed at the four corners of a square.

In which direction does the force act on an electron at point X?

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32 Two large horizontal metal plates are separated by 4 mm. The lower plate is at a potential

of –80 V.

–80 V

Which potential should be applied to the upper plate to create an electric field of strength

60 000 V m –1

upwards in the space between the plates? A –320 V

B –160 V

C +160 V

D +320 V

33 An electric kettle is marked 3.10 kW. It is used with an electrical supply of 240 V.

What is the electric current in the kettle and what is the kettle’s electrical resistance when working?

current / A resistance / ? A

0.0129 18 600 B 0.0770 3100 C 12.9 18.6 D

12.9

3100

34 A thick copper wire is connected to a thin copper wire in series with a cell, as shown.

What is significantly less in the thick wire than in the thin wire?

A the charge passing a point per unit time

B the drift speed of the electrons

C the number density of the free electrons

D the number of free electrons passing a point per unit time

35 What is a typical value for the order of magnitude of the resistivity of copper?

A 10–13 ? m

B 10–8 ? m

C 10–3 ? m

D 102 ? m

36 In the circuit shown, the reading on the ammeter is zero.

The four resistors have different resistances R1, R2, R3 and R4.

Which equation is correct?

A R1 – R3 = R2– R4

B R1×R3 = R2× R4

C R1 – R4 = R2– R3

D R1×R4 = R2× R3

37The diagram shows currents I1, I2, I3, I4 and I5 in different branches of a circuit.

Which equation is correct?

A I1 = I2 + I3

B I2 = I1 + I3

C I3 = I4 + I5

D I4 = I5 + I3

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To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at https://www.sodocs.net/doc/263099081.html, after the live examination series.

Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.

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38 What is a proton?

A a hadron

B a particle consisting of two down quarks and one up quark

C a positive fundamental particle

D a positive lepton

39 What are the correct descriptions of a γ-ray and a β– particle?

γ-ray

β– particle

A high-speed electron electromagnetic radiation

B electromagnetic radiation helium-4 nucleus

C electromagnetic radiation high-speed electron

high-speed electron

helium-4 nucleus

40 In a radioactive decay series, three successive decays each result in a particle being emitted.

The first decay results in the emission of a β– particle. The second decay results in the emission of an α particle. The third decay results in the emission of another β– particle.

Nuclides P and S are compared.

Which statement is correct?

A P and S are identical in all respects.

B P and S are isotopes of the same element.

C S is a different element of lower atomic number.

D S is a different element of reduced mass.

CIE AS ALevel Paper3 物理2020年真题实验题

Cambridge International AS & A Level DC (JC/CT) 182587/3? UCLES 2020 [Turn over This document has 12 pages. Blank pages are indicated. *5745011940* PHYSICS 9702/33 Paper 3 Advanced Practical Skills 1 February/March 2020 2 hours You must answer on the question paper. You will need: The materials and apparatus listed in the confidential instructions INSTRUCTIONS ●Answer all questions. ●Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. ●Write your name, centre number and candidate number in the boxes at the top of the page. ●Write your answer to each question in the space provided. ●Do not use an erasable pen or correction fluid. ●Do not write on any bar codes. ●You will be allowed to work with the apparatus for a maximum of 1 hour for each question. ●You should record all your observations in the spaces provided in the question paper as soon as these observations are made. ●You may use a calculator. ●You should show all your working and use appropriate units. INFORMATION ●The total mark for this paper is 40. ●The number of marks for each question or part question is shown in brackets [ ]. For Examiner’s Use 12Total

Alevel 化学专业词汇。

Alevel基础化学常用英语词汇 1.The Ideal-Gas Equation 理想气体状态方程 2. Partial Pressures 分压 3. Real Gases: Deviation from Ideal Behavior 真实气体：对理想气体行为的偏离 4. The van der Waals Equation 范德华方程 5. System and Surroundings 系统与环境 6. State and State Functions 状态与状态函数 7. Process 过程 8. Phase 相 9. The First Law of Thermodynamics 热力学第一定律 10. Heat and Work 热与功 11. Endothermic and Exothermic Processes 吸热与发热过程 12. Enthalpies of Reactions 反应热 13. Hess’s Law 盖斯定律 14. Enthalpies of Formation 生成焓 15. Reaction Rates 反应速率 16. Reaction Order 反应级数 17. Rate Constants 速率常数 18. Activation Energy 活化能 19. The Arrhenius Equation 阿累尼乌斯方程 20. Reaction Mechanisms 反应机理 21. Homogeneous Catalysis 均相催化剂 22. Heterogeneous Catalysis 非均相催化剂 23. Enzymes 酶 24. The Equilibrium Constant 平衡常数 25. the Direction of Reaction 反应方向 26. Le Chatelier’s Principle 列·沙特列原理 27. Effects of Volume, Pressure, Temperature Changes and Catalysts 体积，压力，温度变化以及催化剂的影响 28. Spontaneous Processes 自发过程 29. Entropy (Standard Entropy) 熵（标准熵） 30. The Second Law of Thermodynamics 热力学第二定律 31. Entropy Changes 熵变 32. Standard Free-Energy Changes 标准自由能变 33. Acid-Bases 酸碱 34. The Dissociation of Water 水离解 35. The Proton in Water 水合质子 36. The pH Scales pH值 37. Bronsted-Lowry Acids and Bases Bronsted-Lowry 酸和碱 38. Proton-Transfer Reactions 质子转移反应 39. Conjugate Acid-Base Pairs 共轭酸碱对 40. Relative Strength of Acids and Bases 酸碱的相对强度

ALEVEL物理AUnit复习资料之

Section 6: Oscillations Revision spread1 : Simple harmonic motion Checkpoints : (1)recall that the condition for simple harmonic motion is F=-kx Identify situations in which simple harmonic motion will occur. (2) recognize and use the expressions a=-ω2x, a=-Aω2xcosωt, v=-Aωsinωt,x=A cosωt,and T=1/f=2π/ωas applied to a simple harmonic oscillator. (3) obtain a displacement-time graph for an oscillating object and recognize that the gradient at a point gives the velocity at that point. （201306-1）A mass is bouncing on the end of a vertical spring. Its motion will be simple harmonic if the spring A .can store energy. B .has elasticity. C .is hung vertically. D .obeys Hooke’s law. （201206-4）Which of the following is not an example of simple harmonic motion? A A car bouncing on its suspension system. B A child jumping on a trampoline. C A person bouncing on the end of a bungee cord. D A swinging pendulum in a grandfather clock. 201301

ib课程包括哪些科目

而选择IB课程，学生必须在第二语言、社会科学、英语、实验科学和数学这几门课程中修满并至少拿到3门的高分数。此外还需要选择一个选修课，2个学期的Theory of Knowledge，2年内150小时的社会实践活动以及写一篇4000字的论文。学生必须在课程开始之前制定出选课方案，具体时间可以在10年级结束或者11年级的开始。 IB课程学科设置及考试参与IB文凭项目的学生要获得文凭，在两年里要从6个学术领域的学科板块中选择6门课程进行学习,并通过考核，还要完成3项必选拓展课程。由于课程的深度与广度的关系，课程分为高级(High Level，简称HL)与标准(Standard Level，简称SL)两个层次。

课程板块第一板块：语言A1与世界文学第二板块：语言B(母语以外的现代语) 第三板块：个人与社会学(历史、地理、经济学、哲学、心理学等) 第四板块：实验科学(物理、化学、生物、设计、环境系统等) 第五板块：数学(数学高等级、高等数学标准等级、数学研究、数学法) 第六板块：艺术与选修(美术设计、音乐、戏剧艺术等，或第三种现代语，或从第三组、第四组中再选一科，或高等数学标准等级) 每个学生要从六大基础学科组的每一组中选出一科学习。每个科目分两个层次：标准课程与高级课程。每科标准课程的教学时数是150学时，高级课程教学时数是不少于240学时。在学生选择的ib预科课程的六门科目中，最少三门最多四门是高级课程，其他是标准课程，这样即保证了学科基础的宽度，又具有足够学术深度。

学生自学超过六门(或高级课程超过四门)当然没有限制。各个学科组的课程都始终在不断地检验与更新之中，以适应该学科领域的最新发展。学通国际课程培训中心自2008年起一直致力于ALEVEL、IGCSE、IB、AP、SAT2等主流国际课程中30多门科目的提分与培优，经11年深耕教学，目前已拥有教师团队80余人，其中20%为博士，80%为名校海归硕士，平均国际课程教龄8年以上，每年为学生提供50000小时以上的高品质课程。除常规国际课程培训外，我们还提供“G5全程护航计划”——全天候全脱产式学习，“全球TOP10大学冲击计划”——高考留学两不误双轨制ALEVEL课程，国际学校备考与衔接课程，英国G5名校STEP、MAT、PAT、TSA、牛剑面试等附加考试辅导，海外学校iTEP、Ukiset、AEAS、AEIS、维立克面试等入学考试辅导课程；同时还提供个性化的学术背景提升项目。

Alevel考试物理考纲内容

ALevel课程被很多家长成为“洋高考”，它已经变得不再陌生，在北上广深等城市已发展得如火如荼，完成Alevel课程可以帮助学生申请欧美大学，而得到优异的分数更是成为学生们可以进入英国殿堂级的高校敲门砖。但是很多家长和学生并不了解，ALevel课程体系的教学大纲、课程设置及其考试在英国本土分别有英国三个主要考试局，其中Alevel在中国设有考试中心，所以也是学生报名学习较多的一个考试局。下面我们一起来了解一下Alevel的物理考试大纲吧：该表格向我们展示了教学大纲中包含的Alevel重点知识内容，下面我们一起来看一下

ALEVEL物理学的内容包括：普通物理、牛顿力学、物质、振动及波、电学与磁学、现代物理等板块。整个学习的内容跟国内的教材基本相同，但是ALEVEL课程的重点放在物理现象的理解和描述，而国内的课程更偏向于计算。学生学习的过程中会发现，计算的内容并

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Edexcel and BTEC Qualifications Edexcel and BTEC qualifications are awarded by Pearson, the UK’s largest awarding body. We provide a wide range of qualifications including academic, vocational, occupational and specific programmes for employers. For further information visit our qualifications websites at https://www.sodocs.net/doc/263099081.html, or https://www.sodocs.net/doc/263099081.html,. Alternatively, you can get in touch with us using the details on our contact us page at https://www.sodocs.net/doc/263099081.html,/contactus. Pearson: helping people progress, everywhere Pearson aspires to be the world’s leading learning company. Our aim is to help everyone progress in their lives through education. We believe in every kind of learning, for all kinds of people, wherever they are in the world. We’ve been involved in education for over 150 years, and by working across 70 countries, in 100 languages, we have built an international reputation for our commitment to high standards and raising achievement through innovation in education. Find out more about how we can help you and your students at: https://www.sodocs.net/doc/263099081.html,/uk Summer 2016 Publications Code 8EC0_01_1606_MS All the material in this publication is copyright ? Pearson Education Ltd 2016

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Alevel物理干货：Doppler Effect 多普勒效应（Doppler Effect）这个名字也许唬住了很多学生，其实这是一个在我们日常生活中经常会见到的现象。当一个声源面向我们靠近的时候，我们听到的声音越来越高；反之，当声源渐渐远离我们，我们听到的声音就会越来越低。回想一下，一辆救护车或者警车不断尖叫着向你驶来的场景，应该会很容易理解这个现象。但就是这么一个简单的事情，引起了物理学家多普勒的兴趣，他对此研究发展出了自己的一套理论。另外，体检过的学生一定都对彩超机器不陌生，实际上，彩超所应用的原理也是多普勒效应。所以说，多普勒效应与我们的生活息息相关。我们的生活中充满了这样那样的原理，虽然我们并不掌握这些原理，但并不影响我们的正常活动。举个简单的例子，每个人都有手机，手机上下载了各种各样的APP，没有几个人真正了解APP应用的原理，但这并不妨碍我们使用手机。因此人们觉得对这些原理了解与否，并没有什么实质性的改变。其实不然，当你对一个原理了解越多的时候，你就会“活得明白”，而且还能增加一些小小的乐趣。要了解多普勒效应，首先需要知道多普勒是谁？多普勒全名克里斯琴·约翰·多普勒，1803年出生于奥地利的萨尔茨堡。克里斯琴·多普勒家族并非科学世家，他们家族经营石匠生意，而按照家族的传统多普勒则理所当然成了生意的接班人。但是多普勒从小体弱多病，这使得他免于承担生意生的重任。试想一下，如果多普勒当时继承家族生意，那么世界上就会多一个毫不显眼的石匠商人，而少了一颗璀璨的科学明珠。多普勒肖像图多普勒并非一开始就从事物理学研究，1829年他毕业于维也纳大学，被任命为高等数学和力学教授的助理，在这段时间他发表了几篇论文。但四年之后，他不知想起什么又跑到一家工厂当会计，之后又来到布拉克一所技术中学担任老师，同时还在布拉格理工学院任着兼职讲师。1841年，教学出色的多普勒得到扶正，成为了理工学院的数学教授。

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10月的Alevel已经结束一段时间了，而明年的Alevel还会远？每年都有新的考生参加其中，想必给位都在努力学习吧。那么今年数学考试有哪些变化呢，下面就为大家介绍一下。 Edexcel去年第一次开始考新版大纲，也就是这里看到的P打头的科目，Pure纯数部分，以前是C打头的叫做Core。国际版新版大纲中只有P1-P4和D1（Decision1，决策数学，跟计算机有点关系，一般会放在高数里面学）的大纲变了，其他的都没有变。今年10月的考试还是新旧版考试都存在的过渡阶段。一、参加10月份考试的大致分两类人： 1、补考； 2、基础好的或者暑期预学了提早参加考试。对于补考的学生来说，大部分是选其中一门进行补考，只需要冲刺这门就可以，一般来说都是补考C34。因为数学A*的标准要求C34达90%，总分达80%。C34重点内容也有很多。比如三角函数（trigonometry），比如微分（differentiation），比如积分（integration），甚至重点内容还会交叉，顺带考一些小的知识点，比如可以用一个parametricequation的题把上述三个重点全串在一起。但如果说重中之重，那一定是integration。Integration里面的内容过于繁杂，列表如下。

6.1-6.4和6.6是积分的计算，是提醒大家有几个不常见的公式在公式表上都有给出，6.5和6.7是积分的应用，包括C12中的求面积和体积。最重要的还是微分的计算，这块是基础，所以要求学生能够熟练做出以下的积分是很有必要的： 6.2部分 6.3部分

6.4部分这些做好了，微积分就不用再害怕了，才能披荆斩棘继续进行下一步积分的应用。至于其他的知识点，比如经常会出现错误的微分chain rule，这里就不一一说明。大家在刷题过程中要了解自己在哪里容易错，然后对这些点进行挨个击破。学通国际课程培训中心自2008年起一直致力于ALEVEL、IGCSE、IB、AP、SAT2等主流国际课程中30多门科目的提分与培优，经11年深耕教学，目前已拥有教师团队80余人，其中20%为博士，80%为名校海归硕士，平均国际课程教龄8年以上，每年

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