问题 单项选择题

A certain encyclopedia has 20 volumes, each of which is ω inches wide, k inches long and t inches thick. If all of the volumes are to be tightly packaged in one rectangular box that is k inches wide and ω inches deep inside, could the inside length of the box be less than 35 inches.()
(1)t=1.5
(2)ω=9 and k=12

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:A

解析:

每一本书的宽度和长度刚好与盒子的深度和宽度相等,所以盒子长度的大小取决于所有这些书的厚度,而与ω和k值的具体大小是多少无关,所以(1)充分,而(2)不充分。根据(1)可以算出盒子的长度应为20×1.5=30英寸,所以(1)充分地回答了该盒子的长度能比35英寸小。

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单项选择题