MAT考试:大题“粗”析以及考点预测

时间:2022-03-16 11:19:36  作者:网络 来源:网络

现在小编给大家“粗略”地复习一遍近几年的problem 2~problem5的大题中涉及到的主要知识模块,关键定理和公式等等。Ready go!

 

 

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Problem 2

Problem 3

Problem 4

Problem 5

2020年

Operation/

Binary/

One One 

Correspondence/

Fibonacci sequence and recursive

Cubic polynomial/

Symmetry Graph/Vieta’s theorem

Area of triangle/

Rotational Symmetry/

Proof without algebra

Arrangement/

Logic reasoning/

Swapping/

Induction

2019年

Polynomial 

with Integer Coefficients/

Disproof/

Substitution

Tangency of a curve and line/

Integration of Area/Zero Point Theorem

Line and Circle in Coordinate System/

Distance formula/

Disproof

Counting/

Recursive and iterative method

2018年

Operation/

Transformation

(translate and rotate)

Secant Line/

Cubic Polynomial/Factor Theorem/

Stationary Point

Cosines Law/Area of segment and sector

Counting/

Recursive/

Inductive/Parity Analysis   

2017年

Polynomial and

 its root/
Sequence/

Method of Undetermined Coefficients

Graph of Power function/ Integration of Area/Rational Zero Test/Plotting

Tangency 

of Circles/

Pythagoras Theorem/

Proof without algebra

Digit in Decimal/

Period and Symmetry

2016年

Operation of

 Composite Function/

Arrangement/

Induction

Symmetry function/

Substitution in Integration

Tangency of

 Circles and Line/

Similar/Area of Sector

Sequence 

and Series/

Induction/Sigma Operation

2015年

Cubic polynomial/ Substitution/ Method of Undetermined Coefficients

Trapezoid Rule in Reimann Sum/ Substitution  

Sines Law/

Area of

 Triangle/ 

Proof without algebra/

Symmetry of Expression

Counting/

Recursive/

Inductive

2014年

Substitution of Independent Variable/ 

Method of Undetermined Coefficients

Rotational Symmetry/Proof by Graph/Symmetry and Parity of Polynomial

Plotting/

Rational Function/

Area of Triangle and Sector/Basic Inequality

Digit in Decimal/Digit Sum and Sum of Digit Sum/Ball-and-Urn

 

 

大家应该发现每年的考点都是会高度重复,所以历年真题(https://www.maths.ox.ac.uk/study-here/undergraduate-study/maths-admissions-test)会是最有针对性的练习,同时学有余力的同学也可以利用STEP1(已经取消)中的考题(https://maths.org/step/assignments)进行复习。

 

最后再来预测一下2021年考试重点和难度。

  1. 选择题依旧还会在多项式、函数绘图以及微积分问题这三项分别考2题;

     

  2. Problem 2会回归到考察基础的代数(特别是多项式)能力,不会像2020年那样考察进制类和递归类(逻辑类)的问题。

     

  3. Problem 3仍旧会出现相切,可能是二次曲线的相切问题;随之而来的会有面积的积分表示。

     

  4. Problem 4有可能出现在坐标几何下的圆与圆构造的不规则图形,以及面积割补问题。

     

  5. Problem 5重点会考察到一一对应的思想,所以针对这样的问题,读题题意是特别重要的。

 

关键字:MAT考试,MAT培训,

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