题目内容
若
且
,求x,y的值.
解:∵x,y≠ 0,∴xy≠ 0,
∴lg(xy)=0,∴xy=1,······································································ 3分
即为{x,1,0}={0,|x|,y},若y=1,则x=1,不合题意,·························· 5分
∴
····················································································· 7分
解得:
(舍去),
,······················································· 8
分
∴x=-1,y=-1.············································································· 9分
∴lg(xy)=0,∴xy=1,······································································ 3分
即为{x,1,0}={0,|x|,y},若y=1,则x=1,不合题意,·························· 5分
∴
解得:
∴x=-1,y=-1.············································································· 9分
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