题目内容
当x满足什么条件时,下列分式有意义?
(1)
;
(2)
;
(3)
;
(4)
.
(1)
| 2x |
| x+1 |
(2)
| x2-1 |
| x2+1 |
(3)
| |x| |
| 1-|x| |
(4)
| x2-1 |
| (x+2)(x-1) |
(1)x+1≠0,
解得x≠-1;
(2)∵x2+1≥1,
∴x为任意实数;
(3)1-|x|≠0,
解得x≠±1;
(4)(x+2)(x-1)≠0,
解得x≠-2且x≠1.
解得x≠-1;
(2)∵x2+1≥1,
∴x为任意实数;
(3)1-|x|≠0,
解得x≠±1;
(4)(x+2)(x-1)≠0,
解得x≠-2且x≠1.
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