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.
由于(-a,b)(-b,a)在同一个象限,所以ab>0,且这两点可能在第二或者第四象限内;
条件1.只能说明(-x,y)可能在第二象限,也可能在第四象限,所以不充分;
条件2. ax>0,明显不充分;
但是两个条件联立,可以发现当ax>0时,(-x,y)一定和(-a,b)(-b,a)在同一个象限内
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