HMMT是什么您可以自己百度一下

这些内容是代数+微积分
1.Let a,b and c be positive real numbers. Determine the largest total number of real roots that the following three polynomials may have among them:ax^2+bx+c,bx^2+cx+a,and cx^2+ax+b

2.Josh(人名) takes a walk on a rectangular grid of n rows and 3 columns,starting from the bottom left corner. At each step,he can either move one square to the right or simultaneously move one square to the left and one square up.In how many ways can he reach the center square of the topmost row.
这题还是做出来了的。。。英文蛋疼（不过当时可以查词典，啊哈哈哈）


10.For all real numbers x,let

Evaluate (f(f(....(f(2011))...)))^2011,where f is applied 2010 times

这个目测是最简单的了。。。。
11.Evaluate

一眼看到小数数分定义～改天看看哈～

6.Let a#b=ab+a+b for all integers a and b.Evaluate 1#(2#(3#(4#....(99#100)...)))
7.Let f:[0,1)→R be a function that satisfies the following condition :if

is the decimal expansion of x and there does not exist a positive integer k such that a(n)=9 for all n≥k，then
（后面那个=a1a2a3……是没有的，手误了）
Determine f'(1/3)

找高人来秒杀楼主
@九点圆