A、把(-1,1)代入n=(m-1)x+m得:左边=1,右边=1,左边=右边,故本选项正确;
B、把(1,1)代入n=(m-1)x+m得:左边=1,右边=2m-1,左边和右边不一定相等,故本选项错误;
8、把(0,1)代入n=(m-1)x+m得:左边=1,右边=m,左边和右边不一定相等,故本选项错误;
D、把(1,-1)代入n=(m-1)x+m得:左边=-1,右边=2m-1,左边和右边不一定相等,故本选项错误;
故选A.
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