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1. ?????????????????,.
2. ??????????????.
???????????????:
(1)????????????,???????;
(2)???????????????????.
?. ??????
1. ???????????????,??????????????,?????????????????.????????????????.
?: ab?ac?a(b?c)
2. ????:
(1)?????????????;
(2)?????????,???????;
(3)????????????????????,?: ma?mb?mc?m(a?b?c)
3. ?????:
(1)??????????????;
(2)????????;
(3)????????????,???,???????+1,???.
?. ?????
1. ??????????,???????????????.????????????????.
2. ????:
(1)?????: a?b?(a?b)(a?b)
(2)??????: a?2ab?b?(a?b) 22222
a2?2ab?b2?(a?b)2
3. ?????:
?????????.?x4?y4?(x2?y2)(x2?y2)???????.
4. ?????:
(1)?????:
????????????????;
???????(????)???????(????)???;
??????.
(2)??????:
??????;
???????,?????????;
????????,?????????????2?.
5. ????????????:
(1)??????????,??,???????;
(2)?????????;
(3)??????,???????????????????????????;
(4)???????????????????,????????;
(5)??????????????????????????????.
?. ?????:
1. ?????:.
?: am?an?bm?bn?a(m?n)?b(m?n)?(a?b)(m?n)
2. ????:
?????????????,????????????????,???????,?????????????????.
3. ??: ???????????.
?. ?????:
1.???????ax?bx?c,?a?c????????????,a?a1?a2 , c?c1?c2, ???
ac1
c22b?a1c2?a2c1,????
2a2 ???,??????????. ?: ax?bx?c?(a1x?c1)(a2x?c2)
2. ?????x2?px?q???:
p?a?b
3. ????: q?ab1 a 1bx2?px?q?(x?a)(x?b)
(1)??:?x2?px?q?????,?????q???,?????????????,???????????p?????.
(2)?????q???,?????????????,????????????????p?????,?????????,?????????????????p.
4. ?????:
(1)???????????????;
(2)??????????,???????????????????????.
??????????
?1. x?16y
?2. (x?3y)?4x
2244
1221x?xy?y2
33 ?3. 3
?4. 25m?20m(m?3n)?4(m?3n)
?5. ????16a?4b?12bc?9c
?????????????????????16a2????????????????
??16a?4b?12bc?9c
22222222
?16a?(4b?12bc?9c)
?(4a)?(2b?3c)
?(4a?2b?3c)(4a?2b?3c)
??????????????????????????????????????????????????????????
b. ?????????
??????????????????????? 22222
???4.16.1????????????(???)
???????????????????
???:
?. ????
1. ?????????????????,????????????????.
2. ??????????????.
???????????????:
(1)????????????,???????;
(2)???????????????????.
?. ??????
1. ???????????????,??????????????,?????????????????.????????????????.
?: ab?ac?a(b?c)
2. ????:
(1)?????????????;
(2)?????????,???????;
(3)????????????????????,?: ma?mb?mc?m(a?b?c)
3. ?????:
(1)??????????????;
(2)????????;
(3)????????????,???,???????+1,???.
?. ?????
1. ??????????,???????????????..
2. ????:
(1)?????: a?b?(a?b)(a?b)
(2)??????: a?2ab?b?(a?b) 22222
a2?2ab?b2?(a?b)2
3. ?????:
?????????.?x?y?(x?y)(x?y)???????.
442222
4. ?????:
(1)?????:
????????????????;
???????(????)???????(????)???;
??????.
(2)??????:
??????;
???????,?????????;
????????,?????????????2?.
5. ????????????:
(1)??????????,??,???????;
(2)?????????;
(3)??????,???????????????????????????;
(4)???????????????????,????????;
(5)??????????????????????????????.
?. ?????:
1. ?????:.
?: am?an?bm?bn?a(m?n)?b(m?n)?(a?b)(m?n)
2. ????:
?????????????,????????????????,???????,?????????????????.
3. ??: ???????????.
?. ?????:
1.???????ax?bx?c,?a?c????????????,a?a1?a2 , c?c1?c2, ???
ac1
c22b?a1c2?a2c1,????
2a2 ???,??????????. ?: ax?bx?c?(a1x?c1)(a2x?c2)
2. ?????x?px?q???: 2
p?a?b
3. ????: q?ab1 a 1bx2?px?q?(x?a)(x?b)
(1)??:?x2?px?q?????,?????q???,?????????????,???????????p?????.
(2)?????q???,?????????????,????????????????p?????,?????????,?????????????????p.
4. ?????:
(1)???????????????;
(2)??????????,???????????????????????.
??????
44x?16y?1.
?2. (x?3y)?4x
22
1221x?xy?y2
33 ?3. 3
?4. 25m?20m(m?3n)?4(m?3n)
222????16a?4b?12bc?9c?5. 22
??????????????????????????????????????????????????????????
b. ?????????
???????????????????????
????
?. ???
1. 12xy?18xy?????___________
2. ?????2x?18x?__________
22 3. ?A?3x?5y?B?y?3x??A?2A?B?B?_________ 3323
4. ?x?6x?t????????t?________
5. ?????9a?4b?4bc?c?_________
6. ?????ac?4abc?4abc?_________ 3222222
7. ?|x?2|?x2?xy?12y?04??x?_______?y?________
22 8. ?a?99?b?98??a?2ab?b?5a?5b?_________
.?0125.?0125.?4798.?________9. ??12798
10. ??????????a?_______??a?7??a?_____?
24x? 11. ?????2?9y2?()2
222 12. ?a?b?c??????????????a(b?c)?b(c?a)?c(a?b)?_________
13. ?a?b?5?ab??14??a?ab?ab?b?__________ 3223
?. ???
14. ??????????????????? ?
A. 18xy?3xy?6B. (m?2)(m?3)?m?m?6
C. x?8x?9?(x?3)(x?3)?8xD. m?m?6?(m?2)(m?3)
15. ????3xy?6xy?3xy?????3xy????????? ?
A. x?2y B. x?2y?1 C. x?2y D. x?2y?1
16. ???????????(x?1)??? ?
A. 2x?3x?1B. x?4x?5 C. x?8x?7 D. x?x?6
3222323222222
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(2)??????????????????????.
2?????
1
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3??????? ??????????????????????????????????????????????????.
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1. ?????
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(1)??????????????
(2)?????????
(3)?????????????. 2. ?????
(1)?????????????????????????
(2)???????????????????????????????????????.
3. ?????
(1)?????????????????
?1 ?????
?2 ????????????????????????????????.
(2)?????????????????????????????.
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1???????????????????????????????????????????????????
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2???????
?1????????????????????????????.
?2???????????????????????
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3?????
?1????? ? ? ?? a?b?(a?b)(a?b)
????? a?2ab?b?(a?b)
?2????????????????
?(a?b)
??????? 2n22222?(b?a)2n? ?(a?b)2n?1??(b?a)2n?1??n?????
2
?1???????1??????x
?????2?px?q?????????q???????a?b?????a?b??p???????????????x2?px?q???
x2?px?q?x2??a?b?x?ab??x?a??x?b?
?2????????1??????ax2?bx?c???????????a???????a1,a2??????
?a2c1???????b????????????????c???????c1,c2?????a1c2
ax2?bx?c????
ax2?bx?c?a1a2x2??a1c2?a2c1?x?c1c2??a1x?a??a2x?c2?.
???????
?1????????????????????????a2?b2?a?b???????????????????
???????????????????????????????????????????????
???
a2?b2?a?b=(a?b)?(a?b)?(a?b)(a?b)?(a?b)?(a?b)(a?b?1)?
?????????????????????
?2?????????????????????????????????????
?3????????????????????????????????????????????????? 22
??????
??1??2011?????????????????????? ?
A??x+3?(x?2)=x2+x?6
C?8a2b3=2a24b3B?ax?ay?1=a?x?y??1 D?x2?4=?x+2??x?2?
??2??2012?????4a3b2+6a2b?2ab????
??3??2010????5?x?y?2?10?y?x?3????
??4??2010??????????????1?1?x2+4xy?4y2
?2?x2?4xy+4y2?3x+6y
3
??5??2009????????x2?2xy+y2?2x+2y+1
??6??2013?????ab=-3?a+b=2?????a3b+ab3???
??7??20112????4x2?kx?25????????k??.
??8??2010?????????????n?3n?2?2n?3?3n?2n?1???10???.
??9??2010????m2x2?2mx?35????
??10??2009???????a3?7a?6
??????
1??2010???????????????? ?
A?2x2?4x+1=2x?x?2?+1 B?m?a+b+c?=ma+mb+mc
C?x2?y2=?x+y??x?y? D??m?n??b+a?=?b+a??m?n?
2??2012???????mx+my+mz=? ?
A?m?x+y?+mz B?m?x+y+z? C?m?x+y?z? D?m3abc
3??2010???20052?2005????? ???
A?2 008 B?2 004C?2 006 D?2 009
4
4??2012????????????????????????????? ?
?1?abx?cdy ?2?3x2y+6y2x ?3?4a3?3a2+2a?1 ?4??x?3?2+?3x?9?
?5?a2?x+y??x?y?+12?y?x? ?6??m2n?x?y?n+mn2?x?y?n+1
A??1??3??5?B??2??4??5?
C??2??4??5??6?D??2??3??4??5??6?
5??2012??????????
?1?56x3yz?14x2y2z+21xy2z2
?2??m?n?2+2n?m?n?
?3?m?a?b+c??n?a+c?b?+p?c?b+a?
?4?a?a?x??a?y?+b?x?a??y?a?
??????
1??x2?x+1?+y?xy+y?=?x+1?B??B=_______?
2???a?2=b+c?????a?a?b?c??b?a?b?c??c?a?b?c?=______
3??2009????????????1 297?5%???897?5%??????
4??2010????????????
?1?2 0042?42 004;?2?3937?1334
?3?1210.13+12.10.9?121.21
?4?20 062 0062 008?20 082 0082 006
n?4n2?2?25??2012??????2?2n?3
5
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发表于 2019-9-13 23:46:11