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[原创]11/2 上海 一些数学jj

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31#
发表于 2006-11-9 02:55:00 | 只看该作者

56.p, q, r are constant, f(x)=p(x^5)+q(x^3)+rx, p+q+r=?

(1)    f(-1)=5

(2)    pqr<0

A

57.  in 1984 one dollar could buy 252 Japanese Yen, in 1995 one dollar could buy 89 Japanese Yen, how much more dollar need to buy 10000 Japanese Yen in 1995 than in 1984?

170% 好麻烦的计算,算比例算了

58.      k and m are consecutive even number, does k > m?

(1)    k+2 and m-2 are non-consecutive even number

(2)    k-1 and m+3 are consecutive odd number

D

59.      Set S are all integers of multiple of 2, set T are all integers of multiple of 4, does the integer m have the property of in set S but not in set T?

(1)    m is an even number

(2)    m/2 is an odd number

B(题目有点记错了吧。。。。)

60.              一个长方形的屋子地面有两块圆形污渍,面积均为pie/100,污渍圆心离最近的墙的距离大于3,问一个圆形地毯是否可以遮盖住两块污渍?

(1)    地毯的面积是9pie

(2)    两块污渍的圆心相距4

无图

r=1/10

R=3

D=6>4+2r 可以遮盖

C
61.       这道题我看到已经有人写过了,就是一个圆分成八份,弧对应的分别是1020304050607080,问八个点连接起来的八边形最大角度数?

165

62.       x and y are integers, 8^x < 4^(y+1)?

(1)    x < y+1

(2)    3x < 2y+2

E

63.      k is an integer, what is the remainder of (k^2)/8?

(1)    k divided by 2, the remainder is 1

(2)    k divided by 3, the remainder is 2

A

64.330 is the factor of the product of first n consecutive positive integers, what is the least possible n?

330=11*3*2*5

11

32#
发表于 2006-11-9 23:26:00 | 只看该作者
330 is the factor of the product of first n consecutive positive integers, what is the least possible n?

330=11*3*2*5

11
   

为什么是11啊??能解释得更清楚一点吗?题目似乎有点交待不清。

3不是也行吗?9×10×11??


[此贴子已经被作者于2006-11-9 23:29:13编辑过]
33#
发表于 2006-11-13 08:28:00 | 只看该作者

62.       x and y are integers, 8^x < 4^(y+1)?

(1)    x < y+1

(2)    3x < 2y+2

E

同意

1.5x<y+1 不能推出2x<y+1吧,所以选B应该是有问题的.

同意

1.5x<y+1 不能推出2x<y+1吧,所以选B应该是有问题的.

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