问题
单项选择题
In the figure above, a circle is inscribed in a square with side b and a square with side a is inscribed in the circle. What is the area of the square with side b ?()
(1)a=4
(2)The radius of the circle is
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a=4可求出,内切圆的直径等于[*],也即大正方形的边长[*],由此可求出其面积等于32,所以(1)充分;由内切圆的半径等于[*]也可得到大正方形的边长b=4[*],其面积等于32,所以(2)也是充分的。