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1月数学1-100单独讨论贴(题目到齐)有问题 看这里 不要再开新帖了

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231#
发表于 2009-1-26 06:05:00 | 只看该作者
74(DS)一群人,X%说是有A,y%说有B,求说只有A没B的?
1:有说B没A的是Z
2:说既有A又有B的是W.
机经同学说选D了。
现在条件不足,判断不出来呀,给出数字好点。

Is it asking for percentage or exact number?
232#
发表于 2009-1-26 16:28:00 | 只看该作者
以下是引用wangxiaoqing在2009-1-26 5:31:00的发言:

93DS=130
    

说一个有X个小正方体组成的长方体,如果用油漆涂他的表面,而油漆的价格是每单位Y cents(单位是乱编的),那么涂满长方体需要多少钱?(xy均为数字)
    

 1:告诉涂满所有小正方体表面的钱
   

2x=2

机经是A

我答C,否则不知道有几个相邻表面不需要油漆

前提是“油漆的价格是每单位Y cents”单位要明确,这样算出有几个小正方体,如果是6个以下则A成立,6个以上排列方法不同,A不成立

1:
total expense is known, and we have a total of 6X faces, but we do not
know X, so we do not know the expense of painting each face. And also
we do not know how many faces to be painted. So A is
not sufficient

2: 2 squares, 12 faces. But you got two ways to
put the two squares. One way: you need to paint 8 faces. Another way:
you need to paint 9 faces. So B is not good
How come there are two ways to arrange 2 squares?
I think that we just can connect the 2 squares so that there is only one way: 10 faces needed to paint.

1+2: total of 12
faces, total expenses to paint these 12 faces are known. Therefore, the
expenses per face is known. But you could paint 9 faces or 8 faces. So
1+2 does not suffice.
Answer should be E
If my way of thinking is right, (1)+(2) could solve the problem based on clear figure Y.

 You need the
additional information of how to displace these 2 squares. Also, Y
cents should be specified more clearly. I do not know whether Y cents
are expenses for painting one square face or expense for one unit of
paint. In the latter case, Y might be irrelevant.


[此贴子已经被作者于2009-1-26 16:30:20编辑过]
233#
发表于 2009-1-26 17:31:00 | 只看该作者
How come there are two ways to arrange 2 squares?
I think that we just can connect the 2 squares so that there is only one way: 10 faces needed to paint.

you can put two squares next to each other on the same level. The resulting rectangle has 8 exposed faces from the original two squares.  you can also put one square on top of the other square, and the resulting rectangle has 9 exposed faces from the original two squares. Try yourself at your leisure.


234#
发表于 2009-1-26 23:56:00 | 只看该作者

LS的同学,2个正方体叠一起横过来看就是一水平,竖过来看就是一竖条,怎么摆都是10个面被涂~汗~你空的时候真该拿2个捣腾一下。

同意选C


[此贴子已经被作者于2009-1-26 23:57:08编辑过]
235#
发表于 2009-1-27 05:02:00 | 只看该作者
LS的同学,2个正方体叠一起横过来看就是一水平,竖过来看就是一竖条,怎么摆都是10个面被涂~汗~你空的时候真该拿2个捣腾一下


I am talking about the exposed faces, and only exposed faces are painted


2个正方体叠一起: total of 12 faces; but you got three faces that can not be exposed to be painted.
2个正方体横过来: total of 12 faces; but you got four faces that can not be exposed to be painted.


236#
发表于 2009-1-27 14:48:00 | 只看该作者
以下是引用anna0221在2009-1-22 3:36:00的发言:

53.

画一下图就看出来了,注意条件是对角线ac一条,经过至少一个顶点的小正方形。

偶不会画图,简单解释。ac经过的小正方形数,从左上到右下,正好是1,2,1,2,1,2的间隔,长宽多分一次,正是又多了一次1,2。

即按3递增。

同一楼上的意见,题目可能有点不清楚,理解是王道

1。对角线AC说明只有一条对角线

2。被经过顶点的小正方形不一定要被对角线穿过,可以在对角线的两边(只是顶点被线经过了)

这么理解起来,

n=1, 正方形个数=1

n=2, 正方形个数=4

n=3, 正方形个数=7

..........

现在看起来是这么解释的,不过考试的时候还是要看清题目,正确理解

237#
发表于 2009-1-27 15:02:00 | 只看该作者
LS的同学,2个正方体叠一起横过来看就是一水平,竖过来看就是一竖条,怎么摆都是10个面被涂~汗~你空的时候真该拿2个捣腾一下


I am talking about the exposed faces, and only exposed faces are painted


2个正方体叠一起: total of 12 faces; but you got three faces that can not be exposed to be painted.
2个正方体横过来: total of 12 faces; but you got four faces that can not be exposed to be painted.

anyone has more questions?
238#
发表于 2009-1-28 11:09:00 | 只看该作者

这题有点不好说清楚

我只能给出一个思路差不多的题(这题是我在2003年23期读者杂志上13页看到的...简直是偶然...就在最近几天心烦不想看书的时候翻以前的读者看到的...)

三人分17峰骆驼。规定老大得一半,老二是三分之一,老三是九分之一。但是17不能被2,3,9整除,又不能宰掉骆驼。于是村长来了,说我再送你们一只骆驼,这样凑成18只不就能行了么!于是老大得了9,老二的了6,老三的了2。9+6+2还是17只。多出来的那只骆驼再还给村长。

这个w题说w除以3余1,那我借2个来,完了再还。(w+2)/3, 我又知道w-1可以被3整除,那我正好再还了那两个,(w-1)/3;(w-1)/3这三个加起来还是w/3我还是分的w个,又没有分w+2个,我把那两个又换回去了。

或者我一开始就找了一个被3除余1的,例如16,然后试出来的。但是万一其他选项用16试也符合就惨了。

还是哪位高人给指点一下,碰到这题怎么弄?

有点脑经急转弯的意思。

239#
发表于 2009-1-28 11:32:00 | 只看该作者

    

42PS)有W个什么东西分给3个人,W31,问三个人分的可能数?


    

 


    

答案?选那个(W-1/3, W-1/3, W+2/3的就好了。


可以试数


Assume W=28


First one: get 9

Second one: get 9

Third one: get 10


(w-1)/3=9

(w+2)/3=10


Assume W=31

First one: get 10

Second one: get 10

Third one: get 11



Or
r= things each one get

3*r+1=W

so r= (W-1)/3
But we know there is one remaining
so one person can get this extra one

so you get two people with (W-1)/3, one get (W-1)/3+1 or (W+2)/3

240#
发表于 2009-1-28 11:36:00 | 只看该作者

质疑44题

条件1+2也可以平行啊???所以选E

我查了CXD上说intercept可是一个绝对值啊。ax+b中b的绝对值才是intercept.所以应该考虑正负吧。于是选E

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