班级 _______________________ 姓名_____________ 考场号__________ 考号_________
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一、选择题
1. D
2. A 3. A
二、填空题
4.
cb 5.
aa?1 6. 3 7. 0
三、计算题
28. 解：原式=?x?2??x?2??x?2??x?2x?2?x
=1?x
当x?1时原式=1?1?0
a29. 解：
?aba?b??a?b?0?b?tan60 ?a(a?b)a?b?1?b?3
?a?b?3 a?1，b?3，?原式?1?3?3??2
10. 解法一：原式=
(a?3)?(a?3)a(a?3)(a?3)?a2?9
=
2a(a?3)(a?(a?3)(a?3)?3)a =
2aa =2
１
班级 _______________________ 姓名_____________ 考场号__________ 考号_________
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a2?911解法二：原式=（）? ?a?3a?3a
= = =
1(a?3)(a?3)1(a?3)(a?3)+ ??a?3aa?3aa?3a?3 ?aa2a a=2
a?1a?3(a?3)211. 解：原式= ??a?3a?2(a?2)(a?2)=
a?1a?3(a?2)(a?2)?· 2a?3a?2(a?3)a?1a?2? a?3a?33= a?3a取值时只要不取2，?2，3就可以． ?求值正确．
a?1a2?2a?1?12. 解：原式= aa =
a?1a ?2a?a?1?1 a?1 =
a取0和1以外的任何数，计算正确都可给分．
2xyx2?y2(x?y)2x?y13. 选择一：M?N?2， ???x?y2x2?y2(x?y)(x?y)x?y5y?y572当x∶y=5∶2时，x?y，原式=?． 52y?y322xyx2?y2?(x?y)2y?x选择二：M?N?2， ???x?y2x2?y2(x?y)(x?y)x?y ２
班级 _______________________ 姓名_____________ 考场号__________ 考号_________
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5y52??3． 当x∶y=5∶2时，x?y，原式=527y?y2y?x2?y22xy(x?y)2x?y选择三：N?M?2， ???x?y2x2?y2(x?y)(x?y)x?y5y?y53当x∶y=5∶2时，x?y，原式=2?．
52y?y72注：只写一种即可．
xx2?1?14. 解：原式= x?13xx(x?1)(x?1)? x?13xx?1=
3=
当x?1?3时，原式=
31?3?1= 33(x?1)2x215. 原式= ?(x?1)(x?1)x?1x?1x2?= x?1x?1x2?x?1=
x?1x2?2?0，
?x2?2
?原式?
2?x?1 x?1?原式=1
３
班级 _______________________ 姓名_____________ 考场号__________ 考号_________
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16. 解：原式?111x?y?(x?y)(x?y)?? 2xx?yx?y2x ?12x?（x?y)?12x ??(x?y) ?y?x
把x?2，y?3代入上式，得原式＝3?2
17. 原式=(a?b)(a?b)a(a?b)???a2?2ab?b2??a??
=
a?ba·a(a?b)2 =1a?b
18. 解：原式＝
(x?y)(x?y)(x?y)?2x?y
＝x＋y－2x＋y ＝－x＋2y 因为 x＝3，y＝2
所以原式＝－3＋4＝1 ．
19. 解：原式=1?(a?b)(a?b)a(a?b)?a
=1?a?b． 当a = 2，b??1时， 原式 = 2．
20. 解：原式=
(x?y)(x?y)x?y?2(x?y)
=x?y?2x?2y =?x?3y
当x?3，y??13时
４
班级 _______________________ 姓名_____________ 考场号__________ 考号_________
--------------------------------------------密--------------------封-------------------线---------------------------------------- 原式=?3?3?(?13)
=?2．
21. 解： ??xx?1?x2?1?x?1?x2?1???x2?x =??x?x?1?x?1?x2?1x2?1???x(x?1) =x2?1x(x?1)(x?1)(x?1)·x2?1 =
xx?1 当x??2009时，原式=?2009?2009?1?20092010．
22. 解：??1??1?x?1???1x2?1??x?2? =
xx?1·?x?1??x?1?1?x?2 ?x2?2
当x?2时，原式??2?2?2
?4
23. 解：
x2?2xy?y2x??2?xy?xy??y?x?? (x?y)2x2?y2?x(x?y)?xy ?x?yx·xy(x?y)(x?y) ?yx?y
５