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400-835-7866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 |
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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 |
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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 |
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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 |
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2017年 |
Polynomial and its root/ 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 |
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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 |
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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 |
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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。
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;
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。
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。
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。
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。
国际竞赛 · AMC8 / AMC10 / IB / IGCSE / AP / A-Level · 留学规划
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