美国数学家协会举办的AMC竞赛，是一项面向全球学生举行的国际数学竞赛。AMC系列竞赛分为AMC8、AMC10和AMC12三个等级，分别适合不同等级的学生参加。一大优势是AMC竞赛采用中英双语进行比赛，对中国学生来说非常友好。其中，AMC10竞赛是一项面向十年级以下学生参加的数学竞赛。
AMC 10考试内容
AMC10的知识考察范围同样涵盖代数、几何、数论、组合四大模块，难度对标初高中数学联赛。
考试内容为除去微积分以外的初高中知识，其中代数的主要考察内容有代数计算、多项式、方程等；几何主要考察三角形与四边形；数论包括整除、指数幂、分解质因数等；组合覆盖乘法原理、排列数与组合数、插空法等知识点。
从整体来看，AMC10的知识考核面会越来越广，难度也会越来越大，对备考学生来说是一个不小的挑战，建议合理分配时间，采用针对性的强化训练。
AMC10考试准备工作
熟悉考察内容，根据考点内容进行专项练习：
- AMC10考试内容涵盖了代数、几何、概率、数论等数学知识点，因此需要对这些知识点进行系统的复习和专项练习。建议根据考点内容进行有针对性的专项练习，对于自己掌握不好的知识点要多加练习，确保全面掌握考试所需的知识。
熟悉出题模式，根据历年真题进行总结，整合AMC10的出题方法和答题思路：
- 通过研究历年的真题，可以了解AMC10的出题模式、题型分布和解题思路，有助于熟悉考试的特点和要求。可以总结出常见的解题技巧和答题思路，为备考提供指导性的信息。
巧用历年真题，对自己所学知识查漏补缺和真题演练：
- 历年真题是备考的重要资料，可以通过做历年真题来查漏补缺，发现自己的薄弱环节，并进行有针对性的复习。同时，通过大量的真题演练可以提高解题能力和应试水平，熟悉考试的题型和难度。
扫码咨询AMC10/12长线备考班，领取竞赛真题
一站式搞定AMC10/12！
kilometer walk, and then finishes at the coffee shop. One day, she walks at 
kilometers per hour, and the walk takes 
hours, including 
minutes at the coffee shop. Another morning, she walks at 
kilometers per hour, and the walk takes 
hours and 
minutes, including 
kilometers per hour, how many minutes will the walk take, including the 
and 
with 
satisfy 
What is the value of 
?
tokens lies before them. The players take turns with Alice going first. On each turn, the player removes 
token or 
such that there is a strategy that guarantees that Bob wins, regardless of Alice’s moves.
She wins a prize if at least two of her numbers were 
where 
and 
.
and 
are drawn such that 
are collinear. Also, 
all lie on a circle. If 
and 
what is the length of 
?![[asy] import graph; unitsize(0.1cm); pair A = (0,0);pair B = (70,0);pair C = (70,16);pair D = (0,16);pair E = (3,16);pair F = (90,16);pair G = (90,33);pair H = (3,33); dot(A^^B^^C^^D^^E^^F^^G^^H); label("$A$", A, S);label("$B$", B, S);label("$C$", C, N);label("$D$", D, N);label("$E$", E, S);label("$F$", F, S);label("$G$", G, N);label("$H$", H, N); draw(E--D--A--B--C--E--H--G--F--C); [/asy]](https://latex.artofproblemsolving.com/1/2/f/12f0a4224f27ffa406ded2c01cfd349ecd0c04de.png)
that follow the lines from the lower left corner to the upper right corner on an 
grid. Find the number of such paths that change direction exactly four times, as in the examples shown below.![[asy] size(7.5cm); usepackage("tikz");label("\begin{tikzpicture}[scale=.4]\draw(0,0)grid(8,8);\draw[line width=2,red](0,0)--(2,0)--(2,3)--(5,3)--(5,8)--(8,8);\end{tikzpicture}",origin); label("\begin{tikzpicture}[scale=.4]\draw(0,0)grid(8,8);\draw[line width=2,red](0,0)--(0,3)--(3,3)--(3,5)--(8,5)--(8,8);\end{tikzpicture}",E); [/asy]](https://latex.artofproblemsolving.com/f/a/2/fa2be3ff5b03203d7779a7a359fa05e2bf9d0c55.png)
