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题库 / Prep2007E2-DS-65
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.
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本题问“(-a, b) and (-b, a) and (-x, y)”是否在同一个象限的核心是“a,b,c,d是否同正负”，由题设可知a和b同正负，条件1可知x和y同正负，条件二可知a和x同正负。所以综合条件1和条件2可知abxy同正负。
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