ChaseDream
搜索
返回列表 发新帖
查看: 1207|回复: 1
打印 上一主题 下一主题

请教两道数学题

[复制链接]
楼主
发表于 2008-2-9 11:13:00 | 只看该作者

请教两道数学题

During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 60 miles per hour.  In terms of x, what was Francine’s average speed for the entire trip?

 

A.180-x/2

B.X+60/4

C.300-x/5

D.600/115-X

E.12,000/x+200

Key is E. why?

If x2 + 3x + c = (x + a)(x + b) for all x, what is the value of c ?

(1)     a = 1

(2)     b = 2

                  

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

Key is D. why?

沙发
发表于 2008-2-9 21:34:00 | 只看该作者

第一题:

    设总距离为D,前一段距离则为xD/100,速度为40mile/hour,后一段距离为(100-x)D/100,速度为60miles/hour.总时间为T=xD/100除以40+(100-x)D/100除以60=总的平均速度则为D/T,简化一下即可得12000/(x+200)

第二题 x2 + 3x + c = (x + a)(x + b)=x2 +(a+b)x+ab  ==>a+b=3 及ab=c

  条件1 a=1 ==>b=2 ==>c=2

 条件2 b=2==>a=1==>c=2

您需要登录后才可以回帖 登录 | 立即注册

Mark一下! 看一下! 顶楼主! 感谢分享! 快速回复:

手机版|ChaseDream|GMT+8, 2025-8-12 03:58
京公网安备11010202008513号 京ICP证101109号 京ICP备12012021号

ChaseDream 论坛

© 2003-2025 ChaseDream.com. All Rights Reserved.

返回顶部