因式分解专项练习题(含答案) 因式分解练习题及答案(要有两种方法的)
\u56e0\u5f0f\u5206\u89e3\u7ec3\u4e60\u9898\uff08\u8981\u6709\u7b54\u6848\uff09\u7b2c5\uff0c6\u7ae0\u8bd5\u5377
\u4e00\uff0e\u9009\u62e9\u9898
1.\u4e0b\u5217\u56e0\u5f0f\u5206\u89e3\u6b63\u786e\u7684\u662f( )
A.a(x-y)+b(m+n)=ax+bm-ay+bm
B.a2-2ab+b2+1=(a-b)2+1
C.-4a+9b2=(-2a\uff0b3b)(2a\uff0b3b)
D. x2\uff0d7x\uff0d8=x(x\uff0d7)\uff0d8
2.\u4e00\u6b21\u8bfe\u5802\u7ec3\u4e60\uff0c\u5c0f\u9896\u540c\u5b66\u505a\u4e86\u5982\u4e0b4\u9053\u56e0\u5f0f\u5206\u89e3\u9898\uff0c\u4f60\u8ba4\u4e3a\u5c0f\u9896\u505a\u5f97\u4e0d\u591f\u5b8c\u6574\u7684\u4e00\u9898\u662f\uff08\u3000\u3000\uff09
A\u3001x2-y2=\uff08x-y\uff09\uff08x+y\uff09 B\u3001x2-2xy+y2=\uff08x-y\uff092
C\u3001x2y-xy2=xy\uff08x-y\uff09 D\u3001x3-x=x\uff08x2-1\uff092
3.\u5df2\u77e5x2\uff0by2\uff0b2x\uff0d6y\uff0b10=0\uff0c\u90a3\u4e48x\uff0cy\u7684\u503c\u5206\u522b\u4e3a
A.x=1\uff0cy=3\u3000 B.x=1\uff0cy=\uff0d3 C.x=\uff0d1\uff0cy=3\u3000 D.x=1\uff0cy=\uff0d3\u3000
4.\u4e0b\u5217\u5404\u5f0f\u4e2d\uff0c\u80fd\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u5206\u89e3\u56e0\u5f0f\u7684\u662f( )
A.a2\uff0bb2 B.\uff0da2\uff0bb2 C.\uff0da2\uff0db2\u3000 D.\uff0d(\uff0da2)\uff0bb2\u3000\u3000
5.\u82e59x2\uff0bmxy\uff0b16y2\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u90a3\u4e48m\u7684\u503c\u662f( )
A.\uff0d12\u3000 B.\u00b124 C.12 D. \u00b112\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000
6. \u628aa2\uff0b8ab\uff0d33b2\u5206\u89e3\u56e0\u5f0f\uff0c\u5f97( )
A.(a\uff0b11)(a\uff0d3)\u3000 B.(a\uff0d11b)(a\uff0d3b) C.(a\uff0b11b)(a\uff0d3b) D.(a\uff0d11b)(a\uff0b3b)
7. \u4e0b\u5217\u5404\u5f0fx3\uff0dx2\uff0dx\uff0b1\uff0cx2\uff0by\uff0dxy\uff0dx\uff0cx2\uff0d2x\uff0dy2\uff0b1\uff0c(x2\uff0b3x)2\uff0d(2x\uff0b1)2\u4e2d\uff0c\u4e0d\u542b\u6709(x\uff0d1)\u56e0\u5f0f\u7684\u6709( )
A.1\u4e2a B.2\u4e2a C.3\u4e2a D.4\u4e2a
8. (2y\uff0d3x)2\uff0d2(3x\uff0d2y)\uff0b1\u56e0\u5f0f\u5206\u89e3\u4e3a( )
A.(3x\uff0d2y\uff0d1)2\u3000 B.(3x\uff0b2y\uff0b1)2 C.(3x\uff0d2y\uff0b1)2 \u3000 D.(2y\uff0d3x\uff0d1)2\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000
9. \u82e54xy\uff0d4x2\uff0dy2\uff0dk\u6709\u4e00\u4e2a\u56e0\u5f0f\u4e3a(1\uff0d2x\uff0by)\uff0c\u5219k\u7684\u503c\u4e3a( )
A.0\u3000 B.1 C.\uff0d1\u3000\u3000 D.4\u3000
10. \u5df2\u77e5a2x2\u00b12x\uff0bb2\u662f\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u4e14a\uff0cb\u90fd\u4e0d\u4e3a\u96f6\uff0c\u5219a\u4e0eb\u7684\u5173\u7cfb\u4e3a( )
A\uff0e\u4e92\u4e3a\u5012\u6570\u6216\u4e92\u4e3a\u8d1f\u5012\u6570 B\uff0e\u4e92\u4e3a\u76f8\u53cd\u6570 C\uff0e\u76f8\u7b49\u7684\u6570 D\uff0e\u4efb\u610f\u6709\u7406\u6570
\u4e8c\uff0e\u586b\u7a7a\u9898
11.\u5f53m=______\u65f6\uff0cx2\uff0b2(m\uff0d3)x\uff0b25\u662f\u5b8c\u5168\u5e73\u65b9\u5f0f\u3002
12.\u628a9\uff0dx2\uff0b12xy\uff0d36y2\u5206\u89e3\u56e0\u5f0f____________
13.\u5df2\u77e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b2x2-3x-1=0\u7684\u4e24\u6839\u4e3ax1,x2,\u5219x1+x2= \u3002
14.\u5316\u7b80\uff08-2\uff09\uff08-2\uff091996+\uff08-2\uff091997+\uff08-2\uff091998\u7684\u7ed3\u679c\u662f__________.
15.\u5df2\u77e5a+b=3\uff0cab=2\uff0c\u5219-a2b-ab2=__________.
16.\u8ba1\u7b97102-92+82-72+\u2026+42-32+22-12\u7684\u503c________.
17.\u5df2\u77e5x= \uff0cy= \uff0c\u6c42\u4ee3\u6570\u5f0f\uff08x+y\uff092-\uff08x-y\uff092\u7684\u503c________.
18.\u5982\u679c100x2+kxy+49y2\u80fd\u5206\u89e3\u4e3a\uff0810x-7y\uff092\uff0c\u90a3\u4e48k=_______.
19.\u5728\u5b9e\u6570\u8303\u56f4\u5185\u5206\u89e3\u56e0\u5f0f\uff1aab2-2a=________.
20.\u82e5x2-10xy+25y2=0\uff0c\u5219x\uff1ay\u7684\u503c\u4e3a_________
\u4e09\uff0e\u89e3\u7b54\u9898
21.\u5df2\u77e5a\u3001b\u3001c\u6ee1\u8db3a-b=8\uff0cab+c2+16=0\uff0c\u52192a+b+c\u3002
22. \u628a\u4e00\u4e2a\u8fb9\u957fa=84m\u7684\u6b63\u65b9\u5f62\u5e7f\u573a\u7684\u56db\u89d2\u5747\u7559\u51fa\u4e00\u4e2a\u8fb9\u957fb=8m\u7684\u6b63\u65b9\u5f62\u4fee\u5efa\u82b1\u575b\uff0c\u5176\u4f59\u5730\u65b9\u79cd\u8349\uff0c\u8349\u576a\u7684\u9762\u79ef\u6709\u591a\u5927\u5982\u679c\u79cd\u8349\u576a\u6bcf\u5e73\u65b9\u7c73\u97005\u5143\uff0c\u90a3\u4e48\u7ed9\u8fd9\u4e2a\u5e7f\u573a\u79cd\u8349\u81f3\u5c11\u8981\u6295\u8d44\u591a\u5c11\u94b1?
23. \u6751\u6c11\u738b\u5bcc\u6295\u8d44\u529e\u517b\u6b96\u573a\uff0c\u5206\u5927\u732a\u548c\u5c0f\u732a\u4e24\u4e2a\u6b63\u65b9\u5f62\u517b\u732a\u573a\uff0e\u5df2\u77e5\u5927\u732a\u573a\u7684\u9762\u79ef\u6bd4\u5c0f\u732a\u573a\u7684\u9762\u79ef\u592740m2\uff0c\u4e24\u4e2a\u732a\u573a\u7684\u56f4\u5899\u603b\u957f\u4e3a80m\uff0c\u8bd5\u6c42\u5c0f\u732a\u573a\u7684\u9762\u79ef\uff0e
24.\u5df2\u77e5x+y=1\uff0cxy= \uff0c\u6c42x3y-2x2y2+xy3\u7684\u503c\u3002
25. \u5229\u7528\u56e0\u5f0f\u5206\u89e3\u8ba1\u7b97\uff0e
\uff081\uff0929\u00d719.99+72\u00d719.99+13\u00d719.99-19.99\u00d714\uff1b
\uff082\uff0939\u00d737-13\u00d781\uff0e
26. \u5df2\u77e51+x+x2+x3+x4=0\uff0c\u6c421+x+x2+x3+\u2026+x2009\u7684\u503c\uff0e
27. \u82e5\u4e00\u4e2a\u4e09\u89d2\u5f62\u7684\u4e09\u8fb9\u957f\u4e3aa\uff0cb\uff0cc\uff0c\u4e14\u6ee1\u8db3a2+2b2+c2-2ab-2bc=0\uff0c\u8bd5\u5224\u65ad\u8be5\u4e09\u89d2\u5f62\u662f\u4ec0\u4e48\u4e09\u89d2\u5f62\uff0c\u5e76\u8bf4\u660e\u7406\u7531\u3002
28. \u5df2\u77e5\uff1an\u662f\u6574\u6570\uff0c\uff082n+1\uff092-1\u80fd\u88ab8\u6574\u9664\u5417\uff1f\u5e76\u8bf4\u660e\u7406\u7531\u3002
29. \u5982\u56fe\uff0c\u8fb9\u957f\u4e3aa\u3001b\u7684\u77e9\u5f62\uff0c\u5b83\u7684\u5468\u957f\u4e3a14\uff0c\u9762\u79ef\u4e3a10\uff0c\u5219a2b+ab2\u7684\u503c\u4e3a
30.\u5c0f\u738b\u8d2d\u4e70\u4e86\u4e00\u5957\u7ecf\u6d4e\u9002\u7528\u623f\uff0c\u4ed6\u51c6\u5907\u5c06\u5730\u9762\u94fa\u4e0a\u5730\u7816\uff0c\u5730\u9762\u7ed3\u6784\u5982\u56fe\u6240\u793a\u3002\u6839\u636e\u56fe\u4e2d\u7684\u6570\u636e\uff08\u5355\u4f4d\uff1am\uff09\uff0c\u89e3\u7b54\u4e0b\u5217\u95ee\u9898\uff1a
\uff081\uff09\u7528\u542bx,y\u7684\u4ee3\u6570\u5f0f\u8868\u793a\u5730\u9762\u603b\u9762\u79ef\uff1b
\uff082\uff09\u5df2\u77e5\u5ba2\u5385\u9762\u79ef\u6bd4\u536b\u751f\u95f4\u9762\u79ef\u591a21m2\uff0c\u4e14\u5730\u9762\u603b\u9762\u79ef\u662f\u536b\u751f\u95f4\u9762\u79ef\u768415\u500d\u3002\u82e5\u94fa1m2\u5730\u7816\u7684\u5e73\u5747\u8d39\u7528\u4e3a80\u5143\uff0c\u90a3\u4e48\u94fa\u5730\u7816\u7684\u603b\u8d39\u7528\u4e3a\u591a\u5c11\u5143\uff1f
\u53c2\u8003\u7b54\u6848
1.C 2.D 3.C 4.B 5.B 6.C 7.B 8.A 9.C 10.A
11. 8\u6216\uff0d2 12. \uff0d(x\uff0d6y\uff0b3)(x\uff0d6y\uff0d3) 13.1.5 14.0 15.-6 16.55 17.1.5 18. -140 19. a\uff08b+ \uff09\uff08b- \uff09 20. 5\uff1a1
21. \u89e3\uff1a\u2235a-b=8\uff0c
\u2234a=b+8\uff0e
\u53c8\u2235ab+c2+16=0\uff0c
\u2234\uff08b+8\uff09b+c2+16=0\uff0e
\u5373\uff08b+4\uff092+c2=0\uff0e
\u53c8\u2235\uff08b+4\uff092\u22650\uff0cc2\u22650\uff0c
\u5219b=-4\uff0cc=0\uff0e
\u2234a=4\uff0c
\u22342a+b+c=4\uff0e
22. \u89e3\uff1a\u5e7f\u573a\u79cd\u8349\u576a\u9762\u79ef\u4e3aa2-4b2=\uff08a+2b\uff09\uff08a-2b\uff09\uff0c
\u5f53a=84m\uff0cb=8m\u65f6\uff0c
\u539f\u5f0f=\uff0884+2\u00d78\uff09\uff0884-2\u00d78\uff09
=100\u00d768
=6 800m2
5\u00d76 800=34 000\u5143\uff0e
\u7b54\uff1a\u7ed9\u5e7f\u573a\u4e0a\u79cd\u8349\u576a\u81f3\u5c11\u970034 000\u5143
23. \u89e3\uff1a\u8bbe\u5c0f\u732a\u573a\u7684\u8fb9\u957f\u4e3aam\uff0c\u5219\u5927\u732a\u573a\u7684\u8fb9\u957f\u4e3a =20-a
\uff0820-a\uff092-a2=40
a=9
9\u00d79=81 m2
\u7b54\uff1a\u5c0f\u732a\u573a\u7684\u9762\u79ef\u4e3a81m2\uff0e
24. \u89e3\uff1ax3y-2x2y2+xy3=xy\uff08x2-2xy+y2\uff09=xy\uff08x-y\uff092
=xy[\uff08x+y\uff092-4xy]
\u628ax+y=1\uff0cxy= \u4ee3\u5165
\u539f\u5f0f= \uff081-4\u00d7 \uff09
= \u00d7\uff081- \uff09
= \u00d7
= \uff0e
\u7b54\uff1a\u539f\u5f0f\u503c\u4e3a \uff0e
25. \uff081\uff09\u539f\u5f0f=19.99\u00d7\uff0829+72+13-14\uff09
=19.99\u00d7100
=1999\uff1b
\uff082\uff09\u539f\u5f0f=39\u00d737-13\u00d781
=13\u00d7111-13\u00d781
=13\u00d7\uff08111-81\uff09
=13\u00d730=390\uff0e
26. \u89e3\uff1a1+x+x2+x3+\u2026+x2009=\uff081+x+x2+x3+x4\uff09+\uff08x5+x6+\u2026+x9\uff09+\u2026\uff08x2005+x2006+\u2026+x2009\uff09
=\uff081+x+x2+x3+x4\uff09+x5\uff081+x+x2+x3+x4\uff09+\u2026+x2005\uff081+x+x2+x3+x4\uff09
=\uff081+x+x2+x3+x4\uff09\uff081+x5+x10+\u2026+x2005\uff09
\u53c8\u56e0\u4e3a1+x+x2+x3+x4=0\uff0c\u6240\u4ee5\u539f\u5f0f=0\uff0e
27. \u89e3\uff1a\u8be5\u4e09\u89d2\u5f62\u662f\u7b49\u8fb9\u4e09\u89d2\u5f62\uff0e\u7406\u7531\u5982\u4e0b\uff1a
\u2235a2+2b2+c2-2ab-2bc=0\uff0c
\u2234a2-2ab+b2+b2-2bc+c2=0\uff0c
\u5373\uff08a-b\uff092+\uff08b-c\uff092=0\uff0c
\u2234a-b=0\uff0c\u4e14b-c=0\uff0c
\u5373a=b\uff0c\u4e14b=c\uff0c
\u2234a=b=c\uff0c
\u2234\u8be5\u4e09\u89d2\u5f62\u662f\u7b49\u8fb9\u4e09\u89d2\u5f62\uff0e
28. \u89e3\uff1a\uff082n+1\uff092-1=\uff082n+1+1\uff09\uff082n+1-1\uff09=4n\uff08n+1\uff09\uff0e
\u2235n\u662f\u6574\u6570\uff0c
\u53c8\u2234n\u4e0e\uff08n+1\uff09\u662f\u4e24\u4e2a\u8fde\u7eed\u6574\u6570\uff0cn\uff08n+1\uff09\u4e3a\u5076\u6570\uff0c\u80fd\u88ab2\u6574\u9664\uff0e
\u22344n\uff08n+1\uff09\u80fd\u88ab8\u6574\u9664\uff0c\u5373\uff082n+1\uff092-1\u80fd\u88ab8\u6574\u9664\uff0e
29. \u89e3\uff1a\u2235a+b=7\uff0cab=10\uff0c
\u2234a2b+ab2=ab\uff08a+b\uff09=70\uff0e
30.
1\uff09\u5730\u9762\u603b\u9762\u79ef\u4e3a\uff1a \uff08m2\uff09
2\uff09\u7531\u9898\u610f\u5f97 \uff0c\u89e3\u5f97\uff1a
\u2234\u5730\u9762\u603b\u9762\u79ef\u4e3a\uff1a \uff08m2\uff09\u2234\u94fa\u5730\u7816\u7684\u603b\u8d39\u7528\u4e3a\uff1a360\u5143
5ax+5bx+3ay+3by
=5x(a+b)+3y(a+b)
=(5x+3y)(a+b)
x³-x²+x-1
=(x³-x²)+(x-1)
=x²(x-1)+(x-1)
=(x-1)(x²+1)
x²-x-y²-y
=(x²-y²)-(x+y)
=(x+y)(x-y)-(x+y)
=(x+y)(x-y+1)
绛旓細鍥犲紡鍒嗚В娉 1.x^2-3x+2=0 2.2x^2-x-3=0 3.(x+2)^2+x+2=0 4.3x^2-27=0 1.(x-1)(x-2)=0 x=1 鎴 x=2 2.(2x-3)(x+1)=0 x=3/2 鎴 x=-1 3.(x+2+1)(x+2)=0 x=-1 鎴 x=-2 4.x^2-9=0 (x+3)(x-3)=0 x=-3 鎴 x=3 鍏朵粬娌¤繃绋嬫湁绛旀...
绛旓細1銆佷笅鍒楀悇寮忎粠宸﹀埌鍙崇殑鍙樺舰灞炰簬鍥犲紡鍒嗚В鐨鏄紙 锛 A锛 B锛 C锛 D锛 2銆佽瀵熶笅鍒楀悇寮忥細鈶 锛涒憽 锛涒憿 锛涒懀 锛涒懁 锛涒懃 .鍏朵腑鍙互鐢ㄦ彁鍏洜寮忔硶鍒嗚В鍥犲紡鐨勬湁锛 锛 A锛庘憼鈶♀懁 B锛庘憽鈶ｂ懁 C锛庘憽鈶ｂ懃 D锛庘憼鈶♀懁鈶 3銆佸椤瑰紡 鍒嗚В鍥犲紡鏃跺簲鎻愬彇鐨勫叕鍥犲紡涓猴紙 锛 A锛3mn B锛 C锛 D锛 4銆...
绛旓細锛3锛121x2锛144y2;锛4锛4锛坅锛峛锛2锛嶏紙x锛峺锛2;锛5锛夛紙x锛2锛2+10锛坸锛2锛+25;锛6锛塧3锛坸+y锛2锛4a3c2.2.鐢ㄧ畝渚挎柟娉曡绠 锛1锛6.42锛3.62;锛2锛21042锛1042 锛3锛1.42脳9锛2.32脳36 绗簩绔 鍒嗚В鍥犲紡缁煎悎缁冧範 涓銆侀夋嫨棰 1.涓嬪垪鍚勫紡涓粠宸﹀埌鍙崇殑鍙樺舰,鏄鍥犲紡鍒嗚В鐨鏄...
绛旓細1.鍥犲紡鍒嗚В3a^3b^2c锛6a^2b^2c^2锛9ab^2c^3锛3ab^2 c(a^2-2ac+3c^2)2.鍥犲紡鍒嗚Вxy锛6锛2x锛3y锛(x-3)(y-2)3.鍥犲紡鍒嗚Вx^2(x锛峺)锛媦^2(y锛峹)锛(x+y)(x-y)^2 4.鍥犲紡鍒嗚В2x^2锛(a锛2b)x锛峚b锛(2x-a)(x+b)5.鍥犲紡鍒嗚Вa^4锛9a^2b^2锛漚^2(a+3b)(a-3b)...
绛旓細50閬鍥犲紡鍒嗚В鍜绛旀 2.3a3b2c锛6a2b2c2锛9ab2c3锛3ab^2 c(a^2-2ac+3c^2)3.鍥犲紡鍒嗚Вxy锛6锛2x锛3y锛(x-3)(y-2)4.鍥犲紡鍒嗚Вx2(x锛峺)锛媦2(y锛峹)锛(x+y)(x-y)^2 5.鍥犲紡鍒嗚В2x2锛(a锛2b)x锛峚b锛(2x-a)(x+b)6.鍥犲紡鍒嗚Вa4锛9a2b2锛漚^2(a+3b)(a-3b)7.鑻ュ凡鐭3...
绛旓細2x²+xy-y²-4x+5y-6=(2x-y)(x+y)-4x+5y-6=(2x-y+2)(x+y-3)x²-2x-1=(x-1)²-2=(x-1-鈭2)(x-1+鈭2)4(x-y+1)+y(y-2x)=y²-4y+4+4x-2xy=(y-2)²+2x(y-2)=(2x+y-2)*(y-2)3x²+5xy-2y²+x+9y-4=(...
绛旓細1)銆 鐢ㄥ崄瀛楃浉涔樻硶瑙ｄ竴浜涚畝鍗曞父瑙鐨勯鐩 渚1鎶妋²+4m-12鍒嗚В鍥犲紡 鍒嗘瀽锛氭湰棰樹腑甯告暟椤-12鍙互鍒嗕负-1脳12锛-2脳6锛-3脳4锛-4脳3锛-6脳2锛-12脳1褰-12鍒嗘垚-2脳6鏃讹紝鎵嶇鍚堟湰棰 瑙ｏ細鍥犱负 1 -2 1 鈺 6 鎵浠²+4m-12=锛坢-2锛夛紙m+6锛変緥2鎶5x²+6x-8鍒嗚В鍥犲紡...
绛旓細澶氶」寮-4ab+16a^2b-2a鎻愬彇鍏洜寮-2a鍚庡彟涓涓洜寮忔槸 2b-8ab+1 鍥犲紡鍒嗚В锛16a^2(a+b锛-8a(-a-b)=8a(a+b)(2a+1)-16x^2+9y^2=(3y+4x)(3y-4x)x^4-y^4=(x^2+y^2)(x+y)(x-y)1-a^2+2ab-b^2=(1+a-b)(1-a+b)濉┖锛9/16x^2+xy+___9/4y^2_=(3/4x-3/2y...
绛旓細(2x锛1)(x锛1)锛(2x锛1)(x锛3)锛2(x-1)(2x+1)2ax^2锛3x锛2ax锛3锛(x+1)(2ax-3)x(y锛2)锛峹锛峺锛1锛(x-1)(y+1)(x^2锛3x)锛(x锛3)^2锛(x-3)(2x-3)9x^2锛66x锛121锛(3x-11)^2 8锛2x^2锛2(2-x)(2+x)x^4锛1锛(x-1)(x+1)(x^2+1)x^2锛4x锛...
绛旓細鍥犲紡鍒嗚В缁冧範棰 涓銆佸～绌洪锛2锛(a锛3)(3锛2a)=___(3锛峚)(3锛2a)锛12锛庤嫢m2锛3m锛2=(m锛媋)(m锛媌)锛屽垯a=___锛宐=___锛15锛庡綋m=___鏃讹紝x2锛2(m锛3)x锛25鏄畬鍏ㄥ钩鏂瑰紡锛庝簩銆侀夋嫨棰橈細1锛庝笅鍒楀悇寮鐨勫洜寮忓垎瑙缁撴灉涓紝姝ｇ‘鐨勬槸( )A锛巃2b锛7ab锛峛锛漛(a2锛7a) B锛3x2y锛...
