问题
单项选择题
Quadrilateral RSTU shown above is a site plan for a parking lot in which side RU is parallel to side ST and RU is longer than ST. What is the area of the parking lot ?()
(1)RU=80 meters
(2)TU=meters
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:D
解析:
由RU=80米,ST=45米,SW=60米,可得停车场的面积[*]60=37500平方米,所以(1)充分;过T点做RU的垂线,设其垂足为D,则ST=WD=45米,TD=SW=60米,由TU[*]可得[*]米,所以RU=RW+WD+DU=15+45+20=80米,从而可以求出四边形RSTU的面积为37500平方米,所以(2)也充分。