11. (2008年广东梅州)

解分式方程：．

解：方程两边同乘以-2，得1-+2(-2)=1， ··············· 2分

　 　即1-+2-4=1，························· 4分

解得=4．····························· 6分

　　 　经检验， =4是原方程的根．···················· 7分

10. (2008赤峰)解分式方程：

解：方程两边同乘，得

·················· (2分)

化简，得··························· (5分)

解得······························· (7分)

检验：时，是原分式方程的解． (8分)

9.(2008年上海市)解方程：

解：去分母，得

．·············································································· (3分)

整理，得．····················································································· (2分)

，．····························································································· (4分)

经检验，是增根，是原方程的根．··················································· (1分)

所以，原方程的根是．

8.(2008年浙江省衢州)解方程：

解：方程两边都乘以，得：

　　　　　　　　　　　　 解得：

　 　　　　　　　　　　　　 经检验：是原方程的根；

7．(2008江苏南京)解方程-=0.

解：方程两边同乘(x-1)(x+1),得

　　　　　 2(x-1)-x=0. ………………………………………………………3分

解这个方程，得

　　　 x=2. …………………………………………………………………5分

检验：当x=2时，(x-1)(x+1)≠0.

所以x=2是原方程的解. …………………………………………………6分

6．(2008年云南省双柏县)解分式方程：．

解：去分母，得

去括号，移项，合并，得

检验，得是原方程的根．

5.2008年江苏省苏州市)解方程：．

解：，．经检验，，是原方程的根

4．(2008年江苏省南通市)解分式方程

解：方程两边同乘以，得5(x－1)－(x+3)＝0

　　　　 解这个方程，得x＝2.

　 检验：把x＝2代入最简公分母，得2×5×1＝10≠0

∴原方程的解是x＝2

3.(2008年乐山市)解方程：

解:设y=,则原方程可化为y-=-1, ∴∴=3,=-4当=3时, =3 ∴-3=0∴=-1,=3;当=-4时, =-4∴+4=0无解,经检验使原方程有意义∴原方程的解为=-1,=3

2.(2008年沈阳市)解分式方程：．

解：······································································································ 2分

···························································································································· 5分

检验：将代入原方程，左边右边································································· 7分

所以是原方程的根································································································ 8分

(将代入最简公分母检验同样给分)