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标题: 问两道PREP题 [打印本页]

作者: bioliwu    时间: 2006-3-3 12:57     标题: 问两道PREP题

1. A boat travelede upstream a distance of 90 miles at an average spead of (V-3) miles per hour and then traveled the same distance downstream at an average of (V+3) miles per hour. If the trip upstream took half an hour longer than the trip downstream, how many hours did it take the boat to travel downstream?

answer: 2.5

我知道这题不难,问题是我怎么样都算不出这个答案。

2. For which following function is f(a+b)=f(a)+f(b) for all positive numbers a and b?

A. f(x)=X2

B. f(x)=X+1

C. f(x)=√X

D. f(x)=2/X

E. f(x)=-3X

Answer: E

请问解题思路。谢谢!


作者: himba    时间: 2006-3-4 09:09

1。90/(v+3) - 90/(v-3)=0.5 得速度=33

所以t = 90/36=2.5

2。我说你可别打我哈,数学系的人一看通式就知道是一阶齐次方程。就是说一次的,没有常数项。不要问怎么看出来的,只是因为看多了。还有类似的很多抽象等式,都对应了一种方程。比如f(x+y)=f(xy)对应ln或者log……


作者: bioliwu    时间: 2006-3-7 13:55

谢谢你啊。
原文说 If the trip upstream took half an hour longer than the trip

downstream,所以应该是90/(V-3)-90/(V+3)=0.5啊!难道是我理解有误?

第二题我没你强啊,假如我看不出来,考试现场该如何处理?


作者: elitist    时间: 2006-3-8 07:22

1.LZ的算式是正确的吧。




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