题目内容
先化简(1+
)÷
再选择一个你喜欢的数(要合适哦!)代入求值.
1 |
x |
x2-1 |
x |
分析:先把分式化简,再把数代入,x取0和±1以外的任何数.
解答:解:(1+
)÷
=
÷
=
×
=
,
取x=2时,原式=
=1.
1 |
x |
x2-1 |
x |
=
x+1 |
x |
(x+1)(x-1) |
x |
=
x+1 |
x |
x |
(x-1)(x+1) |
=
1 |
x-1 |
取x=2时,原式=
1 |
2-1 |
点评:考查了分式的化简求值.注意化简后,代入的数不能使分母的值为0.
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