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  3. Is the quadrangle a square?(1)The sum of three interior angles is 270.(2)Three

Is the quadrangle a square?(1)The sum of three interior angles is 270.(2)Three

游客2025-02-27  11
问题 Is the quadrangle a square?
(1)The sum of three interior angles is 270.
(2)Three sides of the quadrangle equals.
选项 A、Statement (1) ALONE is sufficient, but statement (42) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (41) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (42) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(42)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
答案 E
解析 对于Statement (1)，三个内角和是270，只能够说明另外一个内角是90度，无法确定这个四边形是正方形。对于Statement (2)，三条边相等，第四条边可以有多种变化，同样无法确定。把两者结合起来，我们不能确定这个四边形就是正方形，如下图形不是正方形，但是满足一个角是90度，有三条边相等。因此答案为E。
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