***MATH JJ Robert之家 发表于 2003-1-10 0:55:20
D.S.
1. Is the squrae root of N >100?
1) Suare root of (n+1)>100
2) Suare root of (n-1)>100
[确认]B
P.S.
2. 一圆内有等腰三角形, 三角形的2边长为10, 求圆面积.
[讨论]是等腰么??是哪两边呢??感觉不好求
3. There are 20 cars in a dealershop, the cars are of 5 different colors including white cars and red cars. The probablility of picking either a white or red car is less than 3/5. What is the greatest possible number of red cars?
[思路]求红车数目的最大可能
已经知道The probablility of picking either a white or red car is less than 3/5
R/20<3/5,W/20<3/5----->R<12,W<12;而且R+W+3OTHER=20
取R为11,可以另令此条件成立=)
DS.
4. Line goes through (5,a). Is the slope<0?
1) Line goes through (a,5)
2) Line goes throug (20,a)
[思路]代入a=+-1
(5,1)(1,5)
(5,-1)(-1,5) ——》slope<0
代入a=5
(5,5)(5,5)——》只有1点,无法判断
(5,a). (20,a) ——》 slope=0
[确认]B
5. What is the value of integer r?
a) 4<(r-1)(r-1)<16
b) 4<(r+1)(r-1)<16
[讨论]请大家补充,偶有点看不懂条件
6. What is the variance of 2,3,4,5,6 Given the fomula v=.....
[讨论]请大家补充
7. K and P are positive integers. WHich of the followings must have a negative solution?
1. X^2+kX+P=0
2. X^2-kx+p=0
3. 记不起来好像是不对
[思路]
X^2+kX+P=0——》 X=+-根号(k^2/2^2-p)-k/2
根号(k^2/2-p)<根号(k^2/2^2)=k/2
所以X都是负的
X^2-kx+p=0——》 X=+-根号(k^2/2^2-p)+k/2
所以X是正的
[确认]A
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