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What is the radius of the circle above with center O ?

(1) The ratio of OP to PQ is 1 to 2.

(2) P is the midpoint of chord AB.


Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

考题讲解

题目分析:

本题求圆的半径。

(1)    若满足条件1,则有PQ=2OP,无法求得圆的半径。

(2)    若满足条件2,则有AP=PB,也无法求得圆的半径。

结合条件1和条件2,由于无法知道任何一条线段的长度,也无法求得半径。

因此,本题答案为(E),两个条件结合起来也不能解题,必须提供新数据。

 

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