题文
若解析
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
考点
据考高分专家说,试题“若且,求x,y的值......”主要考查你对 [对数函数的解析式及定义(定义域、值域) ]考点的理解。 对数函数的解析式及定义(定义域、值域)对数函数的定义:
一般地,我们把函数y=logax(a>0,且a≠1)叫做对数函数,其中x是自变量,函数的定义域是(0,+∞),值域是R。
对数函数的解析式:
y=logax(a>0,且a≠1)
在解有关对数函数的解析式时注意:
在涉及到对数函数时,一定要注意定义域,即满足真数大于零;求值域时,还要考虑底数的取值范围。


