Assume that the reciprocal of m-2 is-
1
4
1
m
+2),then  the valuae of  m-
1
m
 is
 
.(英漢詞典:assume 假設(shè);  reciprocal  倒數(shù);   value 值.)
分析:根據(jù)題意可得-
1
4
1
m
+2)×(m-2)=1,對分式方程變形,即可求m-
1
m
的值.
解答:解:根據(jù)題意可得
-
1
4
1
m
+2)×(m-2)=1,
∴(
1
m
+2)(m-2)=-4,
2
m
-2m=1,
∴m-
1
m
=-
1
2

故答案是-
1
2
點評:本題考查了分式的混合運算,解題的關(guān)鍵是能讀懂題意,并且列出等式.
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