Question

有没有英文版的高中数学竞赛题，书和杂志?越多越好 美国参加高中数学竞赛的学生都看什么书,题或杂志？

美国的冯祖鸣最近写了什么英文版的高中数学竞赛书了吗？什么名字？怎么买?新加坡有什么吗

Answer 1

有一本书 叫problem solving through problems By Larson,非常不错。
这个是大学的，但是书写的很容易懂。
还有看IMO的竞赛题，苏联的竞赛题有点难。当然，美国高中联赛的真题是最重要的。

Answer 2

1.Make two random marks on a long stick.
(a) If you then break the stick into k pieces of equal length, what's the chance the two marks are on the same piece?
(b) If you then break the stick into k pieces of random lengths, what's the chance the two marks are on the same piece?
2.Leonhard has ten rods having lengths 1, 2, ... ,10 respectively. How many different ways are there to make a triangle by choosing three appropriate rods?
3.A point is chosen randomly inside a square of side length 5, and a unit circle is drawn with that point as its center. Calculate the probability that the circle does not intersect either of the square's diagonals or any of its sides.
4.Circles A, B and C with radii 2, 4, and 6 respectively are tangent to one another. The common external tangent to circles A and B intersects the common external tangent to circles A and C at point x. Find the measure of angle x.
5.In the complex plane, let u and v be two distinct solution of . Find the probability that

Answer 3

美国普特南数学竞赛试题解答（英文版）