问题
单项选择题
A rectangle is defined to be "silver" if and only if the ratio of its length to its width is2 to 1. If rectangle S is silver, is rectangle R silver ?()
(1)R has the same area as S.
(2)The ratio of one side of R to one side of S is 2 to 1.
A.条件(1)充分,但条件(2)不充分.
B.条件(2)充分,但条件(1)不充分.
C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.
D.条件(1)充分,条件(2)也充分.
E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.
答案
参考答案:E
解析:
(1)不充分,因为面积相等的长方形有任意多个,而满足长与宽的比为2:1且面积相等的长方形却仅有一个;(2)不充分,因为不知道另一条边的比率是多少;(1)+(2)也不充分,因为它可以得到两个结果。例如,当R的两条边长分别为4和2时,S的两条边即可以为4和2,也可以为8和1。