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21号晚上海一战750,感谢CD!JJ在39楼

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61#
发表于 2009-8-22 11:15:00 | 只看该作者
恭喜恭喜!
62#
发表于 2009-8-22 11:18:00 | 只看该作者
以下是引用ForeverDark在2009/8/22 0:31:00的发言:

9.X+Y<8,X,Y是正整数,问XY有几种可能值,我算的是10

?????为什么是10啊?请问题目有要求说x,y不相等么?

如果要求x,y不相等的话,那不应该就是x,y均在1-6的范围内么?那么xy就只有

1*2, 1*3, 1*4,1*5, 1*6

2*4, 2*5

3*4

总共8个啊~

请问我是哪里漏掉了啊???

63#
发表于 2009-8-22 11:26:00 | 只看该作者

回复:(rita0121)以下是引用ForeverDark在2009/8/22...

没说不相等的话确实有10个的

你漏掉了

1*1和

3*3哦~

64#
发表于 2009-8-22 11:49:00 | 只看该作者

那2+2呢?

65#
发表于 2009-8-22 12:06:00 | 只看该作者

那2*3 呢?

66#
发表于 2009-8-22 13:49:00 | 只看该作者

.d是正整数,d^4可以被81整除,问d被9除的余数可以是?我选了个6,其他选项只记得有个4

楼主是怎么思考这道题,我比较没有思路,就带数字,带d=9,d=2*9,d=5*9

在d=5*9时竟然做出来余数是4,是我思考错误了吗?楼主帮忙指正下

67#
发表于 2009-8-22 14:38:00 | 只看该作者
第三题数学做不来,,,什么n^2-1/n^2-4
68#
发表于 2009-8-22 15:42:00 | 只看该作者

cong~谢谢NN的JJ。

不过数学的那个梯形题没弄明白:CF⊥AB,那F点不是到AB边上的延长线上去了

,到梯形外面去了??还有,怎么得出的等腰梯形?

谢谢解答

69#
发表于 2009-8-22 15:50:00 | 只看该作者

实在是强!

先沾点喜气

70#
发表于 2009-8-22 16:49:00 | 只看该作者

楼主帮忙鉴定下,是否是你说的那个浮游生物

Tiny organisms remember the way to food
10:05 17 March 2007 by Greg Huang
SOME of the most basic organisms are smarter than we thought. Rather than moving about randomly, amoebas and plankton employ sophisticated strategies to look for food and might travel in a way that optimises their foraging.

Biophysicists have long tried to explain how creatures of all sizes search for food. However, single-celled organisms such as bacteria seem to move in no particular direction in their search.

To investigate, Liang Li and Edward Cox at Princeton University studied the movements of amoebas (Dictyostelium) in a Petri dish, recording the paths travelled by 12 amoebas, including every turn and movement straight ahead, for 8 to 10 hours per amoeba.

Immediately after an amoeba turned right, it was twice as likely to turn left as right again, and vice versa, they told a meeting of the American Physical Society meeting in Denver, Colorado, last week. This suggests that the cells have a rudimentary memory, being able to remember the last direction they had just turned in, says Robert Austin, a biophysicist at Princeton who was not involved in the study.

Such memories might be laid down because of the way the cell moves. To turn, an amoeba extends part of its body in the preferred direction, which creates a scar made of protein down that side of the cell. The scar might make the cell temporarily more likely to move in the opposite direction. For the amoeba, the pay-off is that it avoids travelling in circles and hence can search a larger area.

For an amoeba, the pay-off is that it avoids travelling in circles and hence can search a larger area
Another study has shed light on the optimal foraging strategy of micro-organisms. Ricardo Garcia and Frank Moss at the University of Missouri at St Louis placed Daphnia zooplankton (see Picture) in water laced with food particles and measured the angles of up to 1000 turns made by individuals of five different species. The plankton were exponentially more likely to turn at smaller, more gradual angles than larger ones, with a preferred turning angle of about 36 degrees.

Meanwhile, their collaborators at Humboldt University in Berlin, Germany, used a computer model to calculate what angle would maximise the amount of food Daphnia collected within a fixed space and time. It turns out that the optimal turning angle closely matches that used by Daphnia in the experiments (Mathematical Biosciences, in press); and an angle any greater or smaller would make the plankton less successful. "This allows it to explore the most area and get the most food in a given amount of time," says Garcia.

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