2011年的sub考试至少有18个题是高中生就能做的

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有一个贴是考了今年sub的人写的回忆题，里面他写了57个题，其中有18个都只涉及了高中知识。其中第14题明显是初中生的几何题。

不知道为什么有人说几年考试没有一道题是高中的。

以下是18道高中生就可以做的题：

1 f(x) is function, for x>0 lnf(x)=ln2-ln(x), find f'(x):
2 T1 is a equilateral triangle with side length 1. T2 is a triangle whose vertices are the midpoints of T1's sides. Find the area of T2. inter
3. A B C are three sets. |A|=17, |B|=15, |C|=20, |A intersect B|=10, |A intersect C|=4, |C intersect B|=2, |A intersect B intersect C|=1, find |A union B union C|7 Z7
5 A bag contains 4 green balls and 5 black balls. One picks two balls randomly from it without putting back. Find the probability of picking two green balls.
8.In a vector space with inner product <a,b> and norm ||a||, a,b,c are vectors, <a,b>=2, <b,c>=5, <a,c>=-3, ||a||=1, ||b||=2, ||c||=7. Find <a+b,b+c>
9.What the graph of y=3x^4-4x^3+1 like?
10 Which one function is not even?
(a) f(x)=sin(xsin(x)) (b) f(x)=sin(cos(x)) (c) f(x)=cos(sin(x)) (d) f(x)=exp(cos(x))-exp(cos(-x)) (e) f(x)=cos(exp(2x))"
14. ABCD is a quadralateral, AB=BC=3, AD=DC=4, BD=5. find AC
16 一张边长24的正方形纸，四个角各剪掉一个边长为h的正方形，剩下的部分可以折成一个无盖的长方体，求h使长方体体积最大。
20.the graph of the derivative g'(x) of function y=g(x) has the graph as follows
25.z=x+iy, x>0 and y>0. If z^2=-1/2+i*sqrt(3)/2, then z^3+2z+1=?  G-
26.{a_n} is a sequence, a_0=0,a_1=1, a_(n+1)=a_n+2*a_(n-1) for n>=1. Find lim(n->infinity, a_(n+1)/a_n)
27.Let A be the area of the triangle formed by x-axle, y-axle and the tangent line of y=x^p (p<0) at x=c. Find p such that A is independent of c.
28.P(x) is a quadratic polynomial of x that has the same value as sin(x) at x=0,x=Pi/4 and x=Pi/2. Find P(Pi)
29.老师给12个孩子分12个玩具，每人1个。只有4种不同的玩具，每种分别有4，5，2，1个，问有多少种分配的方法。
46 n>=3,k is real number, sigma((a_i)^3,i=1..n) <= k*sqrt(sigma((a_i)^6,i=1..n)) for all real numbers {a_i}. Find the minimum value of k.
50 对不小于3的正整数n，求单位圆的外切正n边形与内接正n边形的周长之比。
题号没记 How many distict real root does the equation x^4-x^3*sin(x)-x^2*cos(x)=0 have
56 Line y=x is tangant to a circle at (3,3) and line y=2x passes the center of that circle. Which circle is possible?/ v# h9 [( T' i& |; o$ W1 |9 s
Answer: (a) (x-2)^2+(y-4)^2=2,

jihadistUID: 3298898

高中生能把65道题都做出来吗？在3个小时以内。