AMC在国内正火热，从小学到高中阶段都能找到适合的赛事参与，且对升学和申请有莫大的帮助，对于想考AMC竞赛的同学，有什么资源和资料可以利用呢？AMC竞赛需要报辅导班吗？本篇整理了AMC8/10/12的复习考纲，赶紧过一遍知识点吧！

AMC10和AMC12大部分的知识点都是重合的，所以在备考复习过程中，我们会发现大纲基本上也是一致的，以下是具体知识点总结：

Topic 1: Number Theory 1

 1. calculation and properties of congruence

    2. Euler's function

    3. Fermat's little theorem

Topic 2: Number Theory 2

    1. floor function

    2. odd and even numbers

    3. number of factors

    4. conversion between different numerical systems

Topic 3: Functions and Polynomials

    1. abstract functions

    2. Symmetry

 3. Vieta's theorem of high-degree polynomials

    4. remainder theorem

    5. factor theorem

Topic 4: Sequences and Series

    1. recursive expressions

    2. Fibonacci sequence

    3. sum of sequences

    4. geometrical series

Topic 5: Skills of Algebra

    1. binomial theorem

    2. factorization and equation

    3. basic inequalities

Topic 6: 2-D Geometry and 3-D Geometry

    1. sine rule and cosine rule

    2. similar triangles

    3. Heron's formula

    4. properties of circle

    5. 3-D geometry

Topic 7: Analytic Geometry

    1. equation of straight lines

    2. distance between a point and a line

    3. equation of circle

Topic 8: Permutation and Combination

    1. principle of inclusion and exclusion

    2. principle of addition

    3. principle of multiplication

    4. models of permutation and combination

Topic 9: Probability and Statistics

    1. conditional probability

    2. complex probability problems

    3. basic statistical concepts

Topic 10: Logic and Reasoning

    1. word problems

    2. comprehension of complex problems

    3. conversion of problems

Topic 11: Logarithm

    1. rules of logarithm

    2. logarithm and exponent

    3. equation of logarithm

Topic 12: Complex Numbers and Trigonometry

    1. trigonometrical identities

    2. maximum and minimum of trig functions

  3. polar form and exponential form of complex numbers

    4. De Moivre's theorem