解析:
由題意可知a≠1
(a+2)/(a-1)
=(a-1+3)/(a-1)
=1+ 3/(a-1)
若分式(a+2)/(a-1)的值為整數(shù),那么3/(a-1)必是整數(shù)
即3能被a-1整除
那么這樣的整數(shù)a-1可能的值為3,1,-1,-3
所以對(duì)應(yīng)的a的值為:4,2,0,-2.
若分式a+2/a-1的值為整數(shù),求a的整數(shù)值.
若分式a+2/a-1的值為整數(shù),求a的整數(shù)值.
數(shù)學(xué)人氣:891 ℃時(shí)間:2020-06-20 11:32:17
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