题目内容
先化简(1+
)÷
,再求值(其中x是满足-2<x≤2的整数)
| 1 |
| x |
| x2-1 |
| x2 |
(1+
)÷
,
=
•
,
=
.
当x是满足-2<x≤2的整数,x=-1,0,1,2.
而要使原分式有意义,x≠±1,且x≠0,
即x=2,
当x=2时,原式=
=2.
| 1 |
| x |
| x2-1 |
| x2 |
=
| x+1 |
| x |
| x2 |
| (x+1)(x-1) |
=
| x |
| x-1 |
当x是满足-2<x≤2的整数,x=-1,0,1,2.
而要使原分式有意义,x≠±1,且x≠0,
即x=2,
当x=2时,原式=
| 2 |
| 2-1 |
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