以下是引用xiulingwang在2008-1-15 1:33:00的发言:
1.A rainstorm increased the mount of water stored J reservoirs from 124 billion gallons to 138 billion gallons. If the storm increased the mount of water in the reservoirs to 82 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm? 138/0.82-124约等于44 2. Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the X-axis. The x- and y-coordinates of P,Q, and R are to be integers that satisfy the inequalities -4<=x<=5 and 6<=y<=16.How many different triangles with these properties could be constructed?
相当于在一个10乘以11的矩形边界中,枚举所有的直角三角形个数。思路为:在这样一个矩形边界中存在C(10,2)*C(11,2)=45*55个小的矩形,每一个小的矩形中都可以有4个直角三角形(以其中三个矩形定点为端点) 结果为:4*45*55=9900 3. Does the integer k have a factor p such that 1<p<k?
(1)k >4! 4!=24,大于24的质数还有很多,例如29。所以如果k=29,则不存在p
(2)13! + 2<= K <= 13! +13 满足上述条件的k总可以写成 (n+1)*m,其中m=2,3,....,13,n*m=13!,因此存在这样的p
第四题没太理解,请哪位NN回答一下,谢谢!
[此贴子已经被作者于2008-1-15 14:39:00编辑过] |