实数m,n满足mn-m-n=1求分式m-n/m+n的值(分各种情况讨论)
/是分数线
人气：322 ℃ 时间：2019-12-13 17:29:12
解答
mn-m-n=1(m-1)(n-1)-1=1(m-1)(n-1)=2∵2=1×2=（—1）×（—2）即①当m-1=1,n-1=2时,（m,n）=（2,3）,m-n/m+n=-1/5②当m-1=2,n-1=1时,（m,n）=（3,2）,m-n/m+n=1/5③当m-1=-1,n-1=-2时,（m,n）=（0,-1）,m-n/m+n=-1...
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