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[数学] 1104 Math sub归 [复制链接]

Munkustrap
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电梯直达

楼主

发表于 2011-4-10 02:28:35 |只看该作者 |倒序浏览

总算考完了，泪流满面。时间好紧张，差点没做完
题目不是重复10.11的
整理整理记忆写回忆题，同考的都说说感想吧~

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1 1

lxm_1117
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沙发

发表于 2011-4-10 03:39:44 |只看该作者

祝楼主好运，我反正是前两天就把10月的报了。虽然不全重复10.11, 还是有一些重复的题目。。我复习得不好，有些不会做的就空着了。。linear transform的有两道题我都没看明白。图论的那个也不会做。最后一题abstract algebra连quotient ring都出来了。。。

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投票：加拿大女研究生择校滑铁卢eceVS渥太华cs

peterthe
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板凳

发表于 2011-4-10 04:02:00 |只看该作者

1# Munkustrap
重复题还是挺多的，没几道没见过的

peterthe
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地板

发表于 2011-4-10 04:03:19 |只看该作者

2# lxm_1117

抽代的66题同悲剧，考前还是没看进去那么多抽代，结果主理想环、有限域的知识基本为0

lh22m
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5楼

发表于 2011-4-10 04:34:06 |只看该作者

我在美国考的感觉和去年大陆考的题基本一样啊

Munkustrap
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6楼

发表于 2011-4-10 04:59:30 |只看该作者

本帖最后由 Munkustrap 于 2011-4-10 08:35 编辑

3# peterthe

我的意思只是“4月重复上年11月题目”的说法不正确

目前为止回想出来的

1. Four points ABCD are on a circle arranged clockwise, AB intersects DC atP,AP=9, BP=4, CP=3, what is the length of DP?
2. Surface S is part of x^2+y^2=1between planes Z=0 and x+y+z=2, a vector field F=(xi, yj, zk), what is the value of integration ∬F ndS, n is the unit normal vector of dS?

3. f: [0, +∞)->[0, +∞) strictly increasing, I(a)=int(0->a)f(x)dx,J(b)=int(0->b)f^(-1) (x)dx
  which are correct:
I.  J(b) equal to the area bounded by x=0, y=b, f(x)
II. a>0, 0<b<f(a), I(a)+J(b)<ab
III. a>0, b>f(a), I(a)+J(b)>ab

4. Linear transformation T:V->V, exist v in V that T^2v≠0, T^3v=0, S=span{ v, Tv, T^2v}, which conclusions are right .....
5. lim(x→0)(e^(sin^2 x)-cosx)/x^3
6. Area of region bounded by y=x^2 and y=2-x^2
7. The distance of origin to the plane x+2y-z=14

8. How many zeros are at the end of 11^100-1?
9. Partial sum from n=1 to 100 of series n*2^(n-1)
10. A pulley with radius 2cm, rotated in speed of 1round per second. What is the speed of the object relative to the center of the pulley when it drops 4cm?
11.Area of parallelogram with diagonal vectors a and b
12. Two persons select one number from integers 1to 12 individually, what is the probability that the sum is equal to 12?
13. In ring Z/2Z, which polynomial is in the ideal generated by 1+x2 and 1+x3
1+x^4    x^5+x+1 1+x^6

14. p, q are two prime numbers, for a group G with order pq, which is correct?
G has four subgroups
G is communicative
…
15. Number of generators of cyclic group of order 36.
16. f(z)=xy-ixy, where is the function differentiable?
17. Newton's method, a quadratic function choose the equation between x(n+1) and x(n)
18.Sequence {an}, all but finitely many  terms are not in [0,2], which is correct
19. a(n+1)=(6+a(n))^1/2, a(1)=6^1/2, limit of the sequence?
20. Two circles with radius 1 and 2 respectively, the distance between the two centers is 4. What is the curve formed by points with equal distances to the two circles?
21. A complete graph has 190 edges, how many vertices does it have?
22. A dodecagon labelled by 12 months at each edge is rolled in a game. One “turn” of the game is to roll it until one April appears, then the number of the rolls is recorded. What is the probability to have five consecutive turns with rolls no greater than 10?
23. An closed associative operator # on set S, if a#b#a=b for any a,b in S, which is correct?
# is communicative
S is a group
S is finite
24. S(f)={x: x>0, f(x)=x}, ∑(x∈S(f))(1/x) converges for which function in the following?
A. tanx B. tanx2 C. tan2x D. tan√x E. √|tanx|
25. f is discontinuous on a subset of R, which one is impossible?
A. Φ B. Rational numbers C. Irrational numbers D. Positive real numbers  E.R
26. Flow chart, ask about the result will be printed.

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Munkustrap
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7楼

发表于 2011-4-10 05:10:24 |只看该作者

本帖最后由 Munkustrap 于 2011-4-10 08:47 编辑

25. (3x+4)^2 (d^2 y)/(dx^2)+4(3x+4) dy/dx-6y=0, let 3x+4=et, what is the new form of the equation?
26. cos(bx)=sin2x+1 only have solution at 0, what’s the value of b?
27. Continuous function f(x) on [0,1], f(0)=0, f’(0)=0, 0≤f’’(x)≤1, then the range of f(x):
A.[0,1/2] B. [0,1/2] C. [0,1] D. [0,1] E.
28. Function from 5 element set to 3element set, the number of maps which are not onto
29. Tangent plane equation of a surface at (1,1,10)
30. The number of points on the complex plane with zz*=1
31. Equations (x+2y=2, 2x+ay=2a/3) is consistent, then the set of a values:
A. Φ    B. R-{0} C. R-{4} D. R E. Not enough conditions
32. Distance  function defined by int(1->t^3)e^(-1/u) du, what is the velocity when t=2?
33. f,g continuous on [0,1], sup f=sup g, which is correct:
inf(-f)=inf(-g)
exist x in (0,1) that f(x)=g(x)
exist x that f(x)=sup g(x)
34. lim(n→∞)∑(k=1->n)k/(k^2+n^2 )
35. y=e^2x, the tangent at x=c is parallel to y=3x, the value of  c?
36. (log(logx2))’
37. int(0->+∞)(e^t/(1+e^2t ))dt
38. Five nonzero vectors v1 to v5, a1v1+a2v2+a3v3+a4v4+a5v5≠0 if none of ai is zero. What is the minimum dimension of the space?
A.1 B.2  C.3  D.4  E.6
39. Matrices X,Y, AX=YB, which is correct
A. A,B are square
B. X,Y are square
C. If A and X communicative…
D. If A and Y communicative…
E. …
40. f(x)=ax2+bx+c, a≠0, f(2)=1, f(-2)=-1, which is correct:
a<0 B. -2b/a=0 C…. D. b2-4ac>0 E….