If ab ≠ 0 and points (-a, b) and (-b, a) are in the same quadrant of the xy-plane, is point (-x, y) in this same quadrant?
(1) xy > 0
(2) ax > 0
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.
分析:这道题中quadrant没搞清楚什么意思导致错了。“quadrant”象限。
∵题目说,这两个点A(-a,b)和B(-b, a)在同一个象限,则a,b必然同正或同负。
∴若a,b为正数,则AB两点都在第二象限,
若a,b为负数,则AB两点都在第四象限。
根据(1)(2)知a, x, y也是同正或者同负的,那么(-x,y)本质上和(-a,b)或者(-b,a)没什么区别了。
本题选C
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