人教版初二下册数学分式的运算乘除加减练习题。（只要计算题或者化简求值的题目。） 八年级数学下册关于分式的加减乘除运算的练习谁有？
\u521d\u4e8c\u5206\u5f0f\u52a0\u51cf\u4e58\u9664\u8fd0\u7b97100\u90531.\u56e0\u5f0f\u5206\u89e3(4a+5b)² - (5a-4b)²
2.\u56e0\u5f0f\u5206\u89e3 x² - y² + 10x + 25
3.\u5316\u7b80\u540e\u6c42\u503c(1/2x+1/3y)² - (1/3x+1/2y)² - (5/6x+5/6y)(1/6x-1/6y)\u5176\u4e2d2¹º = x² = 4\u7684y\u6b21\u65b9
4. (x-1)(x\u7684n-1\u6b21\u65b9 + x\u7684n-2\u6b21\u65b9 + x\u7684n-3\u6b21\u65b9 +....+ x + 1)= x\u7684n\u6b21\u65b9-1 \u4f8b:(x-1)(x³ + x² + x + 1)=x\u76844\u6b21\u65b9
\u6839\u636e\u8fd9\u4e00\u89c4\u5f8b\u8ba1\u7b971 + 2 + 2² + 2³ + 2\u76844\u6b21\u65b9 + 2\u76845\u6b21\u65b9 ....+ 2\u768463\u6b21\u65b9
5.\u63d0\u53d6\u516c\u56e0\u5f0f
12x\u5e73\u65b9-12x\u5e73\u65b9y-3x\u5e73\u65b9y\u5e73\u65b9
6.\u5e73\u65b9\u5dee\u516c\u5f0f
3ax\u56db\u6b21\u65b9-3ay\u56db\u6b21\u65b9
7.\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f
25m\u5e73\u65b9+64-80m
8.\u5206\u7ec4\u5206\u89e3
3xy-2x-12y+8
9.\u5341\u5b57\u76f8\u4e58\u6cd5
x\u56db\u6b21\u65b9-7x\u5e73\u65b9y\u5e73\u65b9+6y\u56db\u6b21\u65b9
\u5206\u5f0f\uff1a
\u52a0\u51cf 5x/\uff08x+y\uff09+y/(x+y)
\u4e58\u9664 b/\uff08a\u5e73\u65b9-9\uff09*\uff08a+3\uff09/\uff08b\u5e73\u65b9-b\uff09
\u6df7\u5408 \u5927\u62ec\u53f7a/(a-b)+b/(b-a)\u5927\u62ec\u53f7*ab/(a-b)
1.\u56e0\u5f0f\u5206\u89e3x3\uff0b2x2\uff0b2x\uff0b1
2.\u56e0\u5f0f\u5206\u89e3a2b2\uff0da2\uff0db2\uff0b1
3.\u8bd5\u7528\u9664\u6cd5\u5224\u522b15x2\uff0bx\uff0d6\u662f\u4e0d\u662f3x\uff0b2\u7684\u500d\u5f0f\u3002
4.(1)\u5224\u522b3x\uff0b2\u662f\u4e0d\u662f6x2\uff0bx\uff0d2\u7684\u56e0\u5f0f\uff1f\uff08\u5199\u51fa\u8ba1\u7b97\u5f0f\uff09
(2)\u5982\u679c\u662f\uff0c\u8bf7\u56e0\u5f0f\u5206\u89e36x2\uff0bx\uff0d2\u3002
5.a\uff1d19912 \uff0cb\uff1d9912 \uff0c(1)\u6c42a2\uff0d2ab\uff0bb2\u4e4b\u503c\uff1f (2)a2\uff0db2\u4e4b\u503c\uff1f
6.\u5224\u522b2x\uff0b1\u662f\u54264x2\uff0b8x\uff0b3\u7684\u56e0\u5f0f\uff1f\u5982\u679c\u662f\uff0c\u8bf7\u56e0\u5f0f\u5206\u89e34x2\uff0b8x\uff0b3\u3002
7.\u56e0\u5f0f\u5206\u89e3(1)3ax2\uff0d2x\uff0b3ax\uff0d2 (2)(x2\uff0d3x)\uff0b(x\uff0d3)2\uff0b2x\uff0d6\u3002
8.\u8bbe6x2\uff0d13x\uff0bk\u4e3a3x\uff0d2\u7684\u500d\u5f0f\uff0c\u6c42k\u4e4b\u503c\u3002
9.\u5224\u522b3x\u662f\u4e0d\u662fx2\u4e4b\u56e0\u5f0f\uff1f\uff08\u8981\u8bf4\u660e\u7406\u7531\uff09
10.\u82e5-2x2\uff0bax\uff0d12\uff0c\u80fd\u88ab2x\uff0d3\u6574\u9664\uff0c\u6c42 (1)a\uff1d\uff1f (2)\u5c06-2x2\uff0bax\uff0d12\u56e0\u5f0f\u5206\u89e3\u3002
11.(1)\u56e0\u5f0f\u5206\u89e3ab\uff0dcd\uff0bad\uff0dbc
(2)\u5229\u7528(1)\u6c421990\u00d729\uff0d1991\u00d771\uff0b1990\u00d771\uff0d29\u00d71991\u7684\u503c\u3002
12.\u5229\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u6c421992\uff0d992\uff1d\uff1f
13.\u5229\u7528\u4e58\u6cd5\u516c\u5f0f\u6c42(6712 )2\uff0d(3212 )2\uff1d\uff1f
14.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f\uff1a
(1)(2x\uff0b3)(x\uff0d2)\uff0b(x\uff0b1)(2x\uff0b3) (2)9x2\uff0d66x\uff0b121
15.\u8bf7\u540c\u5b66\u7528\u66fe\u7ecf\u5b66\u8fc7\u7684\u5404\u79cd\u4e0d\u540c\u56e0\u5f0f\u5206\u89e3\u7684\u65b9\u6cd5\u56e0\u5f0f\u5206\u89e316x2\uff0d24x\uff0b9
(1)\u65b9\u6cd51: (2)\u65b9\u6cd52:
16.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f\uff1a
(1)4x2\uff0d25 (2)x2\uff0d4xy\uff0b4y2 (3)\u5229\u7528(1)(2)\u4e4b\u65b9\u6cd5\u6c42a2\uff0db2\uff0b2bc\uff0dc2
17.\u56e0\u5f0f\u5206\u89e3
(1)8x2\uff0d18 (2)x2\uff0d(a\uff0db)x\uff0dab
18.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f
(1)9x4\uff0b35x2\uff0d4 (2)x2\uff0dy2\uff0d2yz\uff0dz2
(3)a(b2\uff0dc2)\uff0dc(a2\uff0db2)
19.\u56e0\u5f0f\u5206\u89e3(2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)
20.\u56e0\u5f0f\u5206\u89e339x2\uff0d38x\uff0b8
21.\u5229\u7528\u56e0\u5f0f\u5206\u89e3\u6c42(6512 )2\uff0d(3412 )2\u4e4b\u503c
22.\u56e0\u5f0f\u5206\u89e3a(b2\uff0dc2)\uff0dc(a2\uff0db2)
23.a\u3001b\u3001c\u662f\u6574\u6570\uff0c\u82e5a2\uff0bb2\uff0bc2\uff0b4a\uff0d8b\uff0d14c\uff0b69\uff1d0\uff0c\u6c42a\uff0b2b\uff0d3c\u7684\u503c
24.\u56e0\u5f0f\u5206\u89e37(x\uff0d1)2\uff0b4(x\uff0d1)(y\uff0b2)\uff0d20(y+2)2
25.\u56e0\u5f0f\u5206\u89e3xy2\uff0d2xy\uff0d3x\uff0dy2\uff0d2y\uff0d1
26.\u56e0\u5f0f\u5206\u89e34x2\uff0d6ax\uff0b18a2
27.\u56e0\u5f0f\u5206\u89e320a3bc\uff0d9a2b2c\uff0d20ab3c
28.\u56e0\u5f0f\u5206\u89e32ax2\uff0d5x\uff0b2ax\uff0d5
29.\u56e0\u5f0f\u5206\u89e34x3\uff0b4x2\uff0d25x\uff0d25
30.\u56e0\u5f0f\u5206\u89e3(1\uff0dxy)2\uff0d(y\uff0dx)2
31.\u56e0\u5f0f\u5206\u89e3
(1)mx2\uff0dm2\uff0dx\uff0b1 (2)a2\uff0d2ab\uff0bb2\uff0d1
32.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f
(1)5x2\uff0d45 (2)81x3\uff0d9x (3)x2\uff0dy2\uff0d5x\uff0d5y (4)x2\uff0dy2\uff0b2yz\uff0dz2
33.\u56e0\u5f0f\u5206\u89e3\uff1axy2\uff0d2xy\uff0d3x\uff0dy2\uff0d2y\uff0d1
34.\u56e0\u5f0f\u5206\u89e3y2(x\uff0dy)\uff0bz2(y\uff0dx)
35.\u8bbex\uff0b1\u662f2x2\uff0bax\uff0d3\u7684\u56e0\u5f0f\uff0c(1)\u6c42a\uff1d\uff1f (2)\u6c422x2\uff0bax\uff0d3\uff1d0\u4e4b\u4e8c\u6839
36.(1)\u56e0\u5f0f\u5206\u89e3x2\uff0bx\uff0by2\uff0dy\uff0d2xy\uff1d\uff1f
(2)\u627f(1)\u82e5x\uff0dy\uff1d99\u6c42x2\uff0bx\uff0by2\uff0dy\uff0d2xy\u4e4b\u503c\uff1f
75\u00f7\u3014138\u00f7\uff08100-54\uff09\u3015 85\u00d7(95\uff0d1440\u00f724)
80400\uff0d(4300\uff0b870\u00f715) 240\u00d778\u00f7\uff08154-115\uff09
1437\u00d727\uff0b27\u00d7563 \u301475-\uff0812+18\uff09\u3015\u00f715
2160\u00f7\u3014\uff0883-79\uff09\u00d718\u3015 280\uff0b840\u00f724\u00d75
325\u00f713\u00d7(266\uff0d250) 85\u00d7(95\uff0d1440\u00f724)
58870\u00f7(105\uff0b20\u00d72) 1437\u00d727\uff0b27\u00d7563
81432\u00f7(13\u00d752\uff0b78) [37.85-\uff087.85+6.4\uff09] \u00d730
156\u00d7[(17.7-7.2)\u00f73] \uff08947\uff0d599\uff09\uff0b76\u00d764
36\u00d7(913\uff0d276\u00f723) [192\uff0d\uff0854\uff0b38\uff09]\u00d767
[\uff087.1-5.6\uff09\u00d70.9-1.15]\u00f72.5 81432\u00f7(13\u00d752\uff0b78)
5.4\u00f7[2.6\u00d7\uff083.7-2.9\uff09+0.62] \uff08947\uff0d599\uff09\uff0b76\u00d764 60\uff0d(9.5\uff0b28.9)]\u00f70.18 2.881\u00f70.43\uff0d0.24\u00d73.5 20\u00d7[(2.44\uff0d1.8)\u00f70.4\uff0b0.15] 28-(3.4 1.25\u00d72.4) 0.8\u00d7\u301415.5-(3.21 5.79)\u3015 \uff0831.8 3.2\u00d74\uff09\u00f75 194\uff0d64.8\u00f71.8\u00d70.9 36.72\u00f74.25\u00d79.9 3.416\u00f7\uff080.016\u00d735\uff09 0.8\u00d7[(10\uff0d6.76)\u00f71.2]
\uff08136+64\uff09\u00d7\uff0865-345\u00f723\uff09 (6.8-6.8\u00d70.55)\u00f78.5
0.12\u00d7 4.8\u00f70.12\u00d74.8 \uff0858+37\uff09\u00f7\uff0864-9\u00d75\uff09
812-700\u00f7\uff089+31\u00d711\uff09 \uff083.2\u00d71.5+2.5\uff09\u00f71.6
85+14\u00d7\uff0814+208\u00f726\uff09 120-36\u00d74\u00f718+35
\uff08284+16\uff09\u00d7\uff08512-8208\u00f718\uff09 9.72\u00d71.6-18.305\u00f77
4/7\u00f7[1/3\u00d7\uff083/5-3/10\uff09] \uff084/5+1/4\uff09\u00f77/3+7/10
12.78\uff0d0\u00f7\uff08 13.4\uff0b156.6 \uff09 37.812-700\u00f7\uff089+31\u00d711\uff09 \uff08136+64\uff09\u00d7\uff0865-345\u00f723\uff09 3.2\u00d7\uff081.5+2.5\uff09\u00f71.6
85+14\u00d7\uff0814+208\u00f726\uff09 \uff0858+37\uff09\u00f7\uff0864-9\u00d75\uff09
(6.8-6.8\u00d70.55)\u00f78.5 \uff08284+16\uff09\u00d7\uff08512-8208\u00f718\uff09
0.12\u00d7 4.8\u00f70.12\u00d74.8 \uff083.2\u00d71.5+2.5\uff09\u00f71.6
120-36\u00d74\u00f718+35 10.15-10.75\u00d70.4-5.7
5.8\u00d7\uff083.87-0.13\uff09+4.2\u00d73.74 347+45\u00d72-4160\u00f752
32.52-\uff086+9.728\u00f73.2\uff09\u00d72.5 87\uff0858+37\uff09\u00f7\uff0864-9\u00d75\uff09
[\uff087.1-5.6\uff09\u00d70.9-1.15] \u00f72.5 \uff083.2\u00d71.5+2.5\uff09\u00f71.6
5.4\u00f7[2.6\u00d7\uff083.7-2.9\uff09+0.62] 12\u00d76\u00f7\uff0812-7.2\uff09-6
3.2\u00d76+\uff081.5+2.5\uff09\u00f71.6
5.8\u00d7\uff083.87-0.13\uff09+4.2\u00d73.74
33.02\uff0d\uff08148.4\uff0d90.85\uff09\u00f72.5
1\u3001 \u63d0\u516c\u56e0\u6cd5
\u5982\u679c\u4e00\u4e2a\u591a\u9879\u5f0f\u7684\u5404\u9879\u90fd\u542b\u6709\u516c\u56e0\u5f0f\uff0c\u90a3\u4e48\u5c31\u53ef\u4ee5\u628a\u8fd9\u4e2a\u516c\u56e0\u5f0f\u63d0\u51fa\u6765\uff0c\u4ece\u800c\u5c06\u591a\u9879\u5f0f\u5316\u6210\u4e24\u4e2a\u56e0\u5f0f\u4e58\u79ef\u7684\u5f62\u5f0f\u3002
\u4f8b1\u3001 \u5206\u89e3\u56e0\u5f0fx -2x -x(2003\u6dee\u5b89\u5e02\u4e2d\u8003\u9898)
x -2x -x=x(x -2x-1)
2\u3001 \u5e94\u7528\u516c\u5f0f\u6cd5
\u7531\u4e8e\u5206\u89e3\u56e0\u5f0f\u4e0e\u6574\u5f0f\u4e58\u6cd5\u6709\u7740\u4e92\u9006\u7684\u5173\u7cfb\uff0c\u5982\u679c\u628a\u4e58\u6cd5\u516c\u5f0f\u53cd\u8fc7\u6765\uff0c\u90a3\u4e48\u5c31\u53ef\u4ee5\u7528\u6765\u628a\u67d0\u4e9b\u591a\u9879\u5f0f\u5206\u89e3\u56e0\u5f0f\u3002
\u4f8b2\u3001\u5206\u89e3\u56e0\u5f0fa +4ab+4b (2003\u5357\u901a\u5e02\u4e2d\u8003\u9898)
\u89e3\uff1aa +4ab+4b =\uff08a+2b\uff09
3\u3001 \u5206\u7ec4\u5206\u89e3\u6cd5
\u8981\u628a\u591a\u9879\u5f0fam+an+bm+bn\u5206\u89e3\u56e0\u5f0f\uff0c\u53ef\u4ee5\u5148\u628a\u5b83\u524d\u4e24\u9879\u5206\u6210\u4e00\u7ec4\uff0c\u5e76\u63d0\u51fa\u516c\u56e0\u5f0fa\uff0c\u628a\u5b83\u540e\u4e24\u9879\u5206\u6210\u4e00\u7ec4\uff0c\u5e76\u63d0\u51fa\u516c\u56e0\u5f0fb\uff0c\u4ece\u800c\u5f97\u5230a(m+n)+b(m+n),\u53c8\u53ef\u4ee5\u63d0\u51fa\u516c\u56e0\u5f0fm+n\uff0c\u4ece\u800c\u5f97\u5230(a+b)(m+n)
\u4f8b3\u3001\u5206\u89e3\u56e0\u5f0fm +5n-mn-5m
\u89e3\uff1am +5n-mn-5m= m -5m -mn+5n
= (m -5m )+(-mn+5n)
=m(m-5)-n(m-5)
=(m-5)(m-n)
4\u3001 \u5341\u5b57\u76f8\u4e58\u6cd5
\u5bf9\u4e8emx +px+q\u5f62\u5f0f\u7684\u591a\u9879\u5f0f\uff0c\u5982\u679ca\u00d7b=m,c\u00d7d=q\u4e14ac+bd=p\uff0c\u5219\u591a\u9879\u5f0f\u53ef\u56e0\u5f0f\u5206\u89e3\u4e3a(ax+d)(bx+c)
\u4f8b4\u3001\u5206\u89e3\u56e0\u5f0f7x -19x-6
\u5206\u6790\uff1a 1 -3
7 2
2-21=-19
\u89e3\uff1a7x -19x-6=\uff087x+2\uff09(x-3)
5\u3001\u914d\u65b9\u6cd5
\u5bf9\u4e8e\u90a3\u4e9b\u4e0d\u80fd\u5229\u7528\u516c\u5f0f\u6cd5\u7684\u591a\u9879\u5f0f\uff0c\u6709\u7684\u53ef\u4ee5\u5229\u7528\u5c06\u5176\u914d\u6210\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u7136\u540e\u518d\u5229\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\uff0c\u5c31\u80fd\u5c06\u5176\u56e0\u5f0f\u5206\u89e3\u3002
\u4f8b5\u3001\u5206\u89e3\u56e0\u5f0fx +3x-40
\u89e3x +3x-40=x +3x+( ) -( ) -40
=(x+ ) -( )
=(x+ + )(x+ - )
=(x+8)(x-5)
6\u3001\u62c6\u3001\u6dfb\u9879\u6cd5
\u53ef\u4ee5\u628a\u591a\u9879\u5f0f\u62c6\u6210\u82e5\u5e72\u90e8\u5206\uff0c\u518d\u7528\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002
\u4f8b6\u3001\u5206\u89e3\u56e0\u5f0fbc(b+c)+ca(c-a)-ab(a+b)
\u89e3\uff1abc(b+c)+ca(c-a)-ab(a+b)=bc(c-a+a+b)+ca(c-a)-ab(a+b)
=bc(c-a)+ca(c-a)+bc(a+b)-ab(a+b)
=c(c-a)(b+a)+b(a+b)(c-a)
=(c+b)(c-a)(a+b)
7\u3001 \u6362\u5143\u6cd5
\u6709\u65f6\u5728\u5206\u89e3\u56e0\u5f0f\u65f6\uff0c\u53ef\u4ee5\u9009\u62e9\u591a\u9879\u5f0f\u4e2d\u7684\u76f8\u540c\u7684\u90e8\u5206\u6362\u6210\u53e6\u4e00\u4e2a\u672a\u77e5\u6570\uff0c\u7136\u540e\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u6700\u540e\u518d\u8f6c\u6362\u56de\u6765\u3002
\u4f8b7\u3001\u5206\u89e3\u56e0\u5f0f2x -x -6x -x+2
\u89e3\uff1a2x -x -6x -x+2=2(x +1)-x(x +1)-6x
=x [2(x + )-(x+ )-6
\u4ee4y=x+ , x [2(x + )-(x+ )-6
= x [2(y -2)-y-6]
= x (2y -y-10)
=x (y+2)(2y-5)
=x (x+ +2)(2x+ -5)
= (x +2x+1) (2x -5x+2)
=(x+1) (2x-1)(x-2)
8\u3001 \u6c42\u6839\u6cd5
\u4ee4\u591a\u9879\u5f0ff(x)=0,\u6c42\u51fa\u5176\u6839\u4e3ax ,x ,x ,\u2026\u2026x ,\u5219\u591a\u9879\u5f0f\u53ef\u56e0\u5f0f\u5206\u89e3\u4e3af(x)=(x-x )(x-x )(x-x )\u2026\u2026(x-x )
\u4f8b8\u3001\u5206\u89e3\u56e0\u5f0f2x +7x -2x -13x+6
\u89e3\uff1a\u4ee4f(x)=2x +7x -2x -13x+6=0
\u901a\u8fc7\u7efc\u5408\u9664\u6cd5\u53ef\u77e5\uff0cf(x)=0\u6839\u4e3a \uff0c-3\uff0c-2\uff0c1
\u52192x +7x -2x -13x+6=(2x-1)(x+3)(x+2)(x-1)
9\u3001 \u56fe\u8c61\u6cd5
\u4ee4y=f(x)\uff0c\u505a\u51fa\u51fd\u6570y=f(x)\u7684\u56fe\u8c61\uff0c\u627e\u5230\u51fd\u6570\u56fe\u8c61\u4e0eX\u8f74\u7684\u4ea4\u70b9x ,x ,x ,\u2026\u2026x \uff0c\u5219\u591a\u9879\u5f0f\u53ef\u56e0\u5f0f\u5206\u89e3\u4e3af(x)= f(x)=(x-x )(x-x )(x-x )\u2026\u2026(x-x )
\u4f8b9\u3001\u56e0\u5f0f\u5206\u89e3x +2x -5x-6
\u89e3\uff1a\u4ee4y= x +2x -5x-6
\u4f5c\u51fa\u5176\u56fe\u8c61\uff0c\u89c1\u53f3\u56fe\uff0c\u4e0ex\u8f74\u4ea4\u70b9\u4e3a-3\uff0c-1\uff0c2
\u5219x +2x -5x-6=(x+1)(x+3)(x-2)
10\u3001 \u4e3b\u5143\u6cd5
\u5148\u9009\u5b9a\u4e00\u4e2a\u5b57\u6bcd\u4e3a\u4e3b\u5143\uff0c\u7136\u540e\u628a\u5404\u9879\u6309\u8fd9\u4e2a\u5b57\u6bcd\u6b21\u6570\u4ece\u9ad8\u5230\u4f4e\u6392\u5217\uff0c\u518d\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002
\u4f8b10\u3001\u5206\u89e3\u56e0\u5f0fa (b-c)+b (c-a)+c (a-b)
\u5206\u6790\uff1a\u6b64\u9898\u53ef\u9009\u5b9aa\u4e3a\u4e3b\u5143\uff0c\u5c06\u5176\u6309\u6b21\u6570\u4ece\u9ad8\u5230\u4f4e\u6392\u5217
\u89e3\uff1aa (b-c)+b (c-a)+c (a-b)=a (b-c)-a(b -c )+(b c-c b)
=(b-c) [a -a(b+c)+bc]
=(b-c)(a-b)(a-c)
11\u3001 \u5229\u7528\u7279\u6b8a\u503c\u6cd5
\u5c062\u621610\u4ee3\u5165x\uff0c\u6c42\u51fa\u6570P\uff0c\u5c06\u6570P\u5206\u89e3\u8d28\u56e0\u6570\uff0c\u5c06\u8d28\u56e0\u6570\u9002\u5f53\u7684\u7ec4\u5408\uff0c\u5e76\u5c06\u7ec4\u5408\u540e\u7684\u6bcf\u4e00\u4e2a\u56e0\u6570\u5199\u62102\u621610\u7684\u548c\u4e0e\u5dee\u7684\u5f62\u5f0f\uff0c\u5c062\u621610\u8fd8\u539f\u6210x\uff0c\u5373\u5f97\u56e0\u5f0f\u5206\u89e3\u5f0f\u3002
\u4f8b11\u3001\u5206\u89e3\u56e0\u5f0fx +9x +23x+15
\u89e3\uff1a\u4ee4x=2\uff0c\u5219x +9x +23x+15=8+36+46+15=105
\u5c06105\u5206\u89e3\u62103\u4e2a\u8d28\u56e0\u6570\u7684\u79ef\uff0c\u5373105=3\u00d75\u00d77
\u6ce8\u610f\u5230\u591a\u9879\u5f0f\u4e2d\u6700\u9ad8\u9879\u7684\u7cfb\u6570\u4e3a1\uff0c\u800c3\u30015\u30017\u5206\u522b\u4e3ax+1\uff0cx+3\uff0cx+5\uff0c\u5728x=2\u65f6\u7684\u503c
\u5219x +9x +23x+15=\uff08x+1\uff09\uff08x+3\uff09\uff08x+5\uff09
12\u3001\u5f85\u5b9a\u7cfb\u6570\u6cd5
\u9996\u5148\u5224\u65ad\u51fa\u5206\u89e3\u56e0\u5f0f\u7684\u5f62\u5f0f\uff0c\u7136\u540e\u8bbe\u51fa\u76f8\u5e94\u6574\u5f0f\u7684\u5b57\u6bcd\u7cfb\u6570\uff0c\u6c42\u51fa\u5b57\u6bcd\u7cfb\u6570\uff0c\u4ece\u800c\u628a\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\u3002
\u4f8b12\u3001\u5206\u89e3\u56e0\u5f0fx -x -5x -6x-4
\u5206\u6790\uff1a\u6613\u77e5\u8fd9\u4e2a\u591a\u9879\u5f0f\u6ca1\u6709\u4e00\u6b21\u56e0\u5f0f\uff0c\u56e0\u800c\u53ea\u80fd\u5206\u89e3\u4e3a\u4e24\u4e2a\u4e8c\u6b21\u56e0\u5f0f\u3002
\u89e3\uff1a\u8bbex -x -5x -6x-4=(x +ax+b)(x +cx+d)
= x +(a+c)x +(ac+b+d)x +(ad+bc)x+bd
\u6240\u4ee5 \u89e3\u5f97
\u5219x -x -5x -6x-4 =(x +x+1)(x -2x-4
1- 14 x2
4x \u20132 x2 \u2013 2
( x- y )3 \u2013(y- x)
x2 \u2013y2 \u2013 x + y
x2 \u2013y2 \uff0d1 ( x + y) (x \u2013 y )
x2 + 1 x2 \uff0d2\uff0d\uff08 x \uff0d1x )2
a3\uff0da2\uff0d2a
4m2\uff0d9n2\uff0d4m+1
3a2+bc\uff0d3ac-ab
9\uff0dx2+2xy\uff0dy2
2x2\uff0d3x\uff0d1
\uff0d2x2+5xy+2y2
10a(x\uff0dy)2\uff0d5b(y\uff0dx)
an+1\uff0d4an\uff0b4an-1
x3(2x\uff0dy)\uff0d2x\uff0by
x(6x\uff0d1)\uff0d1
2ax\uff0d10ay\uff0b5by\uff0b6x
1\uff0da2\uff0dab\uff0d14 b2
a4\uff0b4
(x2\uff0bx)(x2\uff0bx\uff0d3)\uff0b2
x5y\uff0d9xy5
\uff0d4x2\uff0b3xy\uff0b2y2
4a\uff0da5
2x2\uff0d4x\uff0b1
4y2\uff0b4y\uff0d5
3X2\uff0d7X+2
8xy(x\uff0dy)\uff0d2(y\uff0dx)3
x6\uff0dy6
x3\uff0b2xy\uff0dx\uff0dxy2
(x\uff0by)(x\uff0by\uff0d1)\uff0d12
4ab\uff0d\uff081\uff0da2\uff09\uff081\uff0db2\uff09
\uff0d3m2\uff0d2m\uff0b4
a2\uff0da\uff0d6
2(y\uff0dz)\uff0b81(z\uff0dy)
9m2\uff0d6m\uff0b2n\uff0dn2
ab(c2\uff0bd2)\uff0bcd(a2\uff0bb2)
a4\uff0d3a2\uff0d4
x4\uff0b4y4
a2\uff0b2ab\uff0bb2\uff0d2a\uff0d2b\uff0b1
x2\uff0d2x\uff0d4
4x2\uff0b8x\uff0d1
2x2\uff0b4xy\uff0by2
- m2 \u2013 n2 + 2mn + 1
(a + b)3d \u2013 4(a + b)2cd+4(a + b)c2d
(x + a)2 \u2013 (x \u2013 a)2
\u2013x5y \u2013 xy +2x3y
x6 \u2013 x4 \u2013 x2 + 1
(x +3) (x +2) +x2 \u2013 9
(x \u2013y)3 +9(x \u2013 y) \u20136(x \u2013 y)2
(a2 + b2 \u20131 )2 \u2013 4a2b2
(ax + by)2 + (bx \u2013 ay)2
x2 + 2ax \u2013 3a2
3a3b2c\uff0d6a2b2c2\uff0b9ab2c3
xy\uff0b6\uff0d2x\uff0d3y
x2(x\uff0dy)\uff0by2(y\uff0dx)
2x2\uff0d(a\uff0d2b)x\uff0dab
a4\uff0d9a2b2
ab(x2\uff0dy2)\uff0bxy(a2\uff0db2)
(x\uff0by)(a\uff0db\uff0dc)\uff0b(x\uff0dy)(b\uff0bc\uff0da)
a2\uff0da\uff0db2\uff0db
(3a\uff0db)2\uff0d4(3a\uff0db)(a\uff0b3b)\uff0b4(a\uff0b3b)2
(a\uff0b3)2\uff0d6(a\uff0b3)
(x\uff0b1)2(x\uff0b2)\uff0d(x\uff0b1)(x\uff0b2)2
35.\u56e0\u5f0f\u5206\u89e3x2\uff0d25\uff1d \u3002
36.\u56e0\u5f0f\u5206\u89e3x2\uff0d20x\uff0b100\uff1d \u3002
37.\u56e0\u5f0f\u5206\u89e3x2\uff0b4x\uff0b3\uff1d \u3002
38.\u56e0\u5f0f\u5206\u89e34x2\uff0d12x\uff0b5\uff1d \u3002
39.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f\uff1a
(1)3ax2\uff0d6ax\uff1d \u3002
(2)x(x\uff0b2)\uff0dx\uff1d \u3002
(3)x2\uff0d4x\uff0dax\uff0b4a\uff1d \u3002
(4)25x2\uff0d49\uff1d \u3002
(5)36x2\uff0d60x\uff0b25\uff1d \u3002
(6)4x2\uff0b12x\uff0b9\uff1d \u3002
(7)x2\uff0d9x\uff0b18\uff1d \u3002
(8)2x2\uff0d5x\uff0d3\uff1d \u3002
(9)12x2\uff0d50x\uff0b8\uff1d \u3002
40.\u56e0\u5f0f\u5206\u89e3(x\uff0b2)(x\uff0d3)\uff0b(x\uff0b2)(x\uff0b4)\uff1d \u3002
41.\u56e0\u5f0f\u5206\u89e32ax2\uff0d3x\uff0b2ax\uff0d3\uff1d \u3002
42.\u56e0\u5f0f\u5206\u89e39x2\uff0d66x\uff0b121\uff1d \u3002
43.\u56e0\u5f0f\u5206\u89e38\uff0d2x2\uff1d \u3002
44.\u56e0\u5f0f\u5206\u89e3x2\uff0dx\uff0b14 \uff1d \u3002
45.\u56e0\u5f0f\u5206\u89e39x2\uff0d30x\uff0b25\uff1d \u3002
46.\u56e0\u5f0f\u5206\u89e3\uff0d20x2\uff0b9x\uff0b20\uff1d \u3002
47.\u56e0\u5f0f\u5206\u89e312x2\uff0d29x\uff0b15\uff1d \u3002
48.\u56e0\u5f0f\u5206\u89e336x2\uff0b39x\uff0b9\uff1d \u3002
49.\u56e0\u5f0f\u5206\u89e321x2\uff0d31x\uff0d22\uff1d \u3002
50.\u56e0\u5f0f\u5206\u89e39x4\uff0d35x2\uff0d4\uff1d \u3002
51.\u56e0\u5f0f\u5206\u89e3(2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)\uff1d \u3002
52.\u56e0\u5f0f\u5206\u89e32ax2\uff0d3x\uff0b2ax\uff0d3\uff1d \u3002
53.\u56e0\u5f0f\u5206\u89e3x(y\uff0b2)\uff0dx\uff0dy\uff0d1\uff1d \u3002
54.\u56e0\u5f0f\u5206\u89e3(x2\uff0d3x)\uff0b(x\uff0d3)2\uff1d \u3002
55.\u56e0\u5f0f\u5206\u89e39x2\uff0d66x\uff0b121\uff1d \u3002
56.\u56e0\u5f0f\u5206\u89e38\uff0d2x2\uff1d \u3002
57.\u56e0\u5f0f\u5206\u89e3x4\uff0d1\uff1d \u3002
58.\u56e0\u5f0f\u5206\u89e3x2\uff0b4x\uff0dxy\uff0d2y\uff0b4\uff1d \u3002
59.\u56e0\u5f0f\u5206\u89e34x2\uff0d12x\uff0b5\uff1d \u3002
60.\u56e0\u5f0f\u5206\u89e321x2\uff0d31x\uff0d22\uff1d \u3002
61.\u56e0\u5f0f\u5206\u89e34x2\uff0b4xy\uff0by2\uff0d4x\uff0d2y\uff0d3\uff1d \u3002
62.\u56e0\u5f0f\u5206\u89e39x5\uff0d35x3\uff0d4x\uff1d \u3002
63.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f\uff1a
(1)3x2\uff0d6x\uff1d \u3002
(2)49x2\uff0d25\uff1d \u3002
(3)6x2\uff0d13x\uff0b5\uff1d \u3002
(4)x2\uff0b2\uff0d3x\uff1d \u3002
(5)12x2\uff0d23x\uff0d24\uff1d \u3002
(6)(x\uff0b6)(x\uff0d6)\uff0d(x\uff0d6)\uff1d \u3002
(7)3(x\uff0b2)(x\uff0d5)\uff0d(x\uff0b2)(x\uff0d3)\uff1d \u3002
(8)9x2\uff0b42x\uff0b49\uff1d \u3002
(1)(x\uff0b2)\uff0d2(x\uff0b2)2\uff1d \u3002
(2)36x2\uff0b39x\uff0b9\uff1d \u3002
(3)2x2\uff0bax\uff0d6x\uff0d3a\uff1d \u3002
(4)22x2\uff0d31x\uff0d21\uff1d \u3002
70.\u56e0\u5f0f\u5206\u89e33ax2\uff0d6ax\uff1d \u3002
71.\u56e0\u5f0f\u5206\u89e3(x\uff0b1)x\uff0d5x\uff1d \u3002
72.\u56e0\u5f0f\u5206\u89e3(2x\uff0b1)(x\uff0d3)\uff0d(2x\uff0b1)(x\uff0d5)\uff1d
73.\u56e0\u5f0f\u5206\u89e3xy\uff0b2x\uff0d5y\uff0d10\uff1d
74.\u56e0\u5f0f\u5206\u89e3x2y2\uff0dx2\uff0dy2\uff0d6xy\uff0b4\uff1d
x3\uff0b2x2\uff0b2x\uff0b1
a2b2\uff0da2\uff0db2\uff0b1
(1)3ax2\uff0d2x\uff0b3ax\uff0d2
(x2\uff0d3x)\uff0b(x\uff0d3)2\uff0b2x\uff0d6
1)(2x\uff0b3)(x\uff0d2)\uff0b(x\uff0b1)(2x\uff0b3)
9x2\uff0d66x\uff0b121
17.\u56e0\u5f0f\u5206\u89e3
(1)8x2\uff0d18 (2)x2\uff0d(a\uff0db)x\uff0dab
18.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f
(1)9x4\uff0b35x2\uff0d4 (2)x2\uff0dy2\uff0d2yz\uff0dz2
(3)a(b2\uff0dc2)\uff0dc(a2\uff0db2)
19.\u56e0\u5f0f\u5206\u89e3(2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)
20.\u56e0\u5f0f\u5206\u89e339x2\uff0d38x\uff0b8
21.\u5229\u7528\u56e0\u5f0f\u5206\u89e3\u6c42(6512 )2\uff0d(3412 )2\u4e4b\u503c
22.\u56e0\u5f0f\u5206\u89e3a(b2\uff0dc2)\uff0dc(a2\uff0db2)
24.\u56e0\u5f0f\u5206\u89e37(x\uff0d1)2\uff0b4(x\uff0d1)(y\uff0b2)\uff0d20(y+2)2
25.\u56e0\u5f0f\u5206\u89e3xy2\uff0d2xy\uff0d3x\uff0dy2\uff0d2y\uff0d1
26.\u56e0\u5f0f\u5206\u89e34x2\uff0d6ax\uff0b18a2
27.\u56e0\u5f0f\u5206\u89e320a3bc\uff0d9a2b2c\uff0d20ab3c
28.\u56e0\u5f0f\u5206\u89e32ax2\uff0d5x\uff0b2ax\uff0d5
29.\u56e0\u5f0f\u5206\u89e34x3\uff0b4x2\uff0d25x\uff0d25
30.\u56e0\u5f0f\u5206\u89e3(1\uff0dxy)2\uff0d(y\uff0dx)2
31.\u56e0\u5f0f\u5206\u89e3
(1)mx2\uff0dm2\uff0dx\uff0b1 (2)a2\uff0d2ab\uff0bb2\uff0d1
32.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f
(1)5x2\uff0d45 (2)81x3\uff0d9x (3)x2\uff0dy2\uff0d5x\uff0d5y (4)x2\uff0dy2\uff0b2yz\uff0dz2
33.\u56e0\u5f0f\u5206\u89e3\uff1axy2\uff0d2xy\uff0d3x\uff0dy2\uff0d2y\uff0d1
34.\u56e0\u5f0f\u5206\u89e3y2(x\uff0dy)\uff0bz2(y\uff0dx)
1)\u56e0\u5f0f\u5206\u89e3x2\uff0bx\uff0by2\uff0dy\uff0d2xy\uff1d
\u4e00\u3001\u9009\u62e9\u9898
1.\u4e0b\u5217\u5404\u5f0f\u8ba1\u7b97\u6b63\u786e\u7684\u662f( )
A. ; B.
C. ; D.
2.\u8ba1\u7b97 \u7684\u7ed3\u679c\u4e3a( )
A.1 B.x+1 C. D.
3.\u4e0b\u5217\u5206\u5f0f\u4e2d,\u6700\u7b80\u5206\u5f0f\u662f( )
A. B. C. D.
4.\u5df2\u77e5x\u4e3a\u6574\u6570,\u4e14\u5206\u5f0f \u7684\u503c\u4e3a\u6574\u6570,\u5219x\u53ef\u53d6\u7684\u503c\u6709( )
A.1\u4e2a B.2\u4e2a C.3\u4e2a D.4\u4e2a
5.\u5316\u7b80 \u7684\u7ed3\u679c\u662f( )
A.1 B. C. D.-1
\u4e8c\u3001\u586b\u7a7a\u9898:
6.\u8ba1\u7b97 \u7684\u7ed3\u679c\u662f____________.
7.\u8ba1\u7b97a2\u00f7b\u00f7 \u00f7c\u00d7 \u00f7d\u00d7 \u7684\u7ed3\u679c\u662f__________.
8.\u82e5\u4ee3\u6570\u5f0f \u6709\u610f\u4e49,\u5219x\u7684\u53d6\u503c\u8303\u56f4\u662f__________.
9.\u5316\u7b80 \u7684\u7ed3\u679c\u662f___________.
10.\u82e5 ,\u5219M=___________.
11.\u516c\u8def\u5168\u957fs\u5343\u7c73,\u9a91\u8f66t\u5c0f\u65f6\u53ef\u5230\u8fbe,\u8981\u63d0\u524d40\u5206\u949f\u5230\u8fbe,\u6bcf\u5c0f\u65f6\u5e94\u591a\u8d70____\u5343\u7c73.
\u4e09\u3001\u8ba1\u7b97\u9898:
12. ; 13.
\u56db\u3001\u89e3\u7b54\u9898:
14.\u9605\u8bfb\u4e0b\u5217\u9898\u76ee\u7684\u8ba1\u7b97\u8fc7\u7a0b:
\u2460
=x-3-2(x-1) \u2461
=x-3-2x+2 \u2462
=-x-1 \u2463
(1)\u4e0a\u8ff0\u8ba1\u7b97\u8fc7\u7a0b,\u4ece\u54ea\u4e00\u6b65\u5f00\u59cb\u51fa\u73b0\u9519\u8bef?\u8bf7\u5199\u51fa\u8be5\u6b65\u7684\u4ee3\u53f7:______.
(2)\u9519\u8bef\u7684\u539f\u56e0\u662f__________.
(3)\u672c\u9898\u76ee\u7684\u6b63\u786e\u7ed3\u8bba\u662f__________.
15.\u5df2\u77e5x\u4e3a\u6574\u6570,\u4e14 \u4e3a\u6574\u6570,\u6c42\u6240\u6709\u7b26\u5408\u6761\u4ef6\u7684x\u503c\u7684\u548c.
A． B． C． D．
2、计算 + - 得（ ）
A．- B． C．-2 D．2
3、计算a-b+ 得（ ）
A． B．a+b C． D．a-b
4、若 = + ，则m＝ ．
5、当分式 - - 的值等于零时，则x＝ ．
6、如果a>b>0，则 - 的值的符号是 ．
7、已知a+b＝3，ab＝1，则 + 的值等于 ．
8、（易错题）计算： - ．
9、（易错题）计算： -x-1．
10、先化简，再求值: - + ，其中a＝ ．
11、已知A、B两地相距s千米，王刚从A地往B地需要m小时，赵军从B地往A地，需要n小时，他们同时出发相向而行，需要几时相遇？
12、（开放题）已知两个分式：A＝ ，B＝ + ，其中x≠±2，下面有三个结论：①A＝B；②A-B＝0；③A+B＝0．请问哪个正确？为什么？
(1)m/(m²-1) · (m²+m)/m²；
(2)(x-2)/(3-x)· (x²-6x+9)/(x²-4)；
(3)(3x-6)/(x²-4)÷(x+2)/(x²+4x+4)；
(4)(x²-2x+1)/(x²-1)÷(x-1)/(x²+x).
(5)(4a²+4a)/(a²+2a) + ( 4a-a²)/(a²+4a+4)
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