因式分解计算题（江苏科技出版社）七下 200道 一元二次方程计算题
\u6c42200\u9898\u56e0\u5f0f\u5206\u89e3\u548c\u8ba1\u7b97\u9898\u3002\u4e0d\u8981\u9009\u62e9\u9898\u554a\u3001\u5c31\u7eaf\u7cb9\u7684\u7b97\u5f0f\u30021\uff0e\u5206\u89e3\u56e0\u5f0f\uff1a(x2+3x)2-2(x2+3x)\uff0d8\uff1d \uff0e
2\uff0e\u5206\u89e3\u56e0\u5f0f\uff1a(x2+x+1)(x2+x+2)\uff0d12= \uff0e
3\uff0e\u5206\u89e3\u56e0\u5f0f\uff1ax2\uff0dxy\uff0d2y2\uff0dx\uff0dy= \uff0e (\u91cd\u5e86\u5e02\u4e2d\u8003\u9898)
4\uff0e\u5df2\u77e5\u4e8c\u6b21\u4e09\u9879\u5f0f \u5728\u6574\u6570\u8303\u56f4\u5185\u53ef\u4ee5\u5206\u89e3\u4e3a\u4e24\u4e2a\u4e00\u6b21\u56e0\u5f0f\u7684\u79ef\uff0c\u5219\u6574\u6570m\u7684\u53ef\u80fd\u53d6\u503c\u4e3a \uff0e
5\uff0e\u5c06\u591a\u9879\u5f0f \u5206\u89e3\u56e0\u5f0f\uff0c\u7ed3\u679c\u6b63\u786e\u7684\u662f\uff08 \uff09\uff0e
A\uff0e B\uff0e C\uff0e D\uff0e
(\u5317\u4eac\u4e2d\u8003\u9898)
6\uff0e\u4e0b\u52175\u4e2a\u591a\u9879\u5f0f\uff1a
\u2460 \uff1b\u2461 \uff1b\u2462 \uff1b\u2463 \uff1b\u2464
\u5176\u4e2d\u5728\u6709\u7406\u6570\u8303\u56f4\u5185\u53ef\u4ee5\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u7684\u6709\uff08 \uff09\uff0e
A\uff0e\u2460\u3001\u2461\u3001\u2462 B\uff0e\u2461\u3001\u2462 \u3001\u2463 C\uff0e\u2460\u2462 \u3001\u2463\u3001\u2464 D\uff0e\u2460\u3001\u2461\u3001\u2463
7\uff0e\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f\u540e\uff0c\u53ef\u8868\u793a\u4e3a\u4e00\u6b21\u56e0\u5f0f\u4e58\u79ef\u7684\u662f( )\uff0e
A\uff0e B\uff0e C\uff0e D\uff0e
(\u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
8\uff0e\u82e5 \uff0c \uff0c\u5219 \u7684\u503c\u4e3a( )\uff0e
A\uff0e B\uff0e C\uff0e D\uff0e0 (\u5927\u8fde\u5e02\u201c\u80b2\u82f1\u676f\u201d\u7ade\u8d5b\u9898)
9\uff0e\u5206\u89e3\u56e0\u5f0f
\uff081\uff09(x2+4x+8)2+3x(x2+4x+8)+2x2\uff1b
(2)(2x2\uff0d3x+1)2\u4e0022x2+33x\uff0d1\uff1b
(3)x4+2001x2+2000x+2001\uff1b
(4)(6x\uff0d1)(2 x\uff0d1)(3 x\uff0d1)( x\uff0d1)+x2\uff1b
(5) \uff1b
(6) \uff0e (\u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
10\uff0e\u5206\u89e3\u56e0\u5f0f\uff1a = \uff0e
11\uff0e\u5206\u89e3\u56e0\u5f0f\uff1a = \uff0e
12\uff0e\u5206\u89e3\u56e0\u5f0f\uff1a = \uff0e\uff08 \u201c\u4e94\u7f8a\u676f\u201d\u7ade\u8d5b\u9898\uff09
13\uff0e\u57281~100\u4e4b\u95f4\u82e5\u5b58\u5728\u6574\u6570n\uff0c\u4f7f \u80fd\u5206\u89e3\u4e3a\u4e24\u4e2a\u6574\u7cfb\u6570\u4e00\u6b21\u5f0f\u7684\u4e58\u79ef\uff0c\u8fc7\u6837\u7684n\u6709 \u4e2a\uff0e (\u5317\u4eac\u5e02\u7ade\u8d5b\u9898)
14\uff0e \u7684\u56e0\u5f0f\u662f( )
A\uff0e B\uff0e C\uff0e D\uff0e E\uff0e
15\uff0e\u5df2\u77e5 \uff0cM= \uff0cN= \uff0c\u5219M\u4e0eN\u7684\u5927\u5c0f\u5173\u7cfb\u662f( )
A\uff0eM N C\uff0eM\uff1dN D\uff0e\u4e0d\u80fd\u786e\u5b9a
(\u7b2c \u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
16\uff0e\u628a\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f\uff1a
(1) \uff1b
(2) \uff1b (\u6e56\u5317\u7701\u9ec4\u5188\u5e02\u7ade\u8d5b\u9898)
(3) \uff1b (\u5929\u6d25\u5e02\u7ade\u8d5b\u9898)
(4) \uff1b\uff08\u201c\u4e94\u7f8a\u676f\u201d\u7ade\u8d5b\u9898\uff09
(5) \uff0e (\u5929\u6d25\u5e02\u7ade\u8d5b\u9898)
17\uff0e\u5df2\u77e5\u4e58\u6cd5\u516c\u5f0f\uff1a
\uff1b
\uff0e
\u5229\u7528\u6216\u8005\u4e0d\u5229\u7528\u4e0a\u8ff0\u516c\u5f0f\uff0c\u5206\u89e3\u56e0\u5f0f\uff1a (\u201c\u7956\u51b2\u4e4b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
18\uff0e\u5df2\u77e5\u5728\u0394ABC\u4e2d\uff0c (a\u3001b\u3001c\u662f\u4e09\u89d2\u5f62\u4e09\u8fb9\u7684\u957f)\uff0e
\u6c42\u8bc1\uff1a (\u5929\u6d25\u5e02\u7ade\u8d5b\u9898)
\u5b66\u529b\u8bad\u7ec3
1\uff0e\u5df2\u77e5x+y\uff1d3\uff0c \uff0c\u90a3\u4e48 \u7684\u503c\u4e3a \uff0e
2\uff0e\u65b9\u7a0b \u7684\u6574\u6570\u89e3\u662f \uff0e ( \u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
3\uff0e\u5df2\u77e5a\u3001b\u3001c\u3001d\u4e3a\u975e\u8d1f\u6574\u6570\uff0c\u4e14ac+bd+ad+bc=1997\uff0c\u5219a+b+c+d\uff1d \uff0e
4\uff0e\u5bf9\u4e00\u5207\u5927\u4e8e2\u7684\u6b63\u6574\u6570n\uff0c\u6570n5\u4e005n3+4n\u7684\u91cf\u5927\u516c\u7ea6\u6570\u662f \uff0e
(\u56db\u5ddd\u7701\u7ade\u8d5b\u9898)
5\uff0e\u5df2\u77e5724\uff0d1\u53ef\u88ab40\u81f350\u4e4b\u95f4\u7684\u4e24\u4e2a\u6574\u6570\u6574\u9664\uff0c\u8fd9\u4e24\u4e2a\u6574\u6570\u662f( )
A\uff0e41\uff0c48 B\uff0e45\uff0c47 C\uff0e43\uff0c48 D\uff0e4l\uff0c47
6\uff0c\u5df2\u77e52x2\uff0d3xy+y2\uff1d0(xy\u22600)\uff0c\u5219 \u7684\u503c\u662f( )
A\uff0e 2\uff0c B\uff0e2 C\uff0e D\uff0e\uff0d2\uff0c
7\uff0ea\u3001b\u3001c\u662f\u6b63\u6574\u6570\uff0ca>b\uff0c\u4e14a2-ac+bc=7\uff0c\u5219a\u2014c\u7b49\u4e8e( )
A\uff0e\u4e002 B\uff0e\u4e001 C\uff0e0 D\uff0e 2
(\u6c5f\u82cf\u7701\u7ade\u8d5b\u9898)
8\uff0e\u5982\u679c \uff0c\u90a3\u4e48 \u7684\u503c\u7b49\u4e8e( )
A\uff0e1999 B\uff0e2001 C\uff0e2003 D\uff0e2005
\uff08\u6b66\u6c49\u5e02\u9009\u62d4\u8d5b\u8bd5\u9898\uff09
9\uff0e(1)\u6c42\u8bc1\uff1a8l7\u4e00279\u2014913\u80fd\u88ab45\u6574\u9664\uff1b
(2)\u8bc1\u660e\uff1a\u5f53n\u4e3a\u81ea\u7136\u6570\u65f6\uff0c2(2n+1)\u5f62\u5f0f\u7684\u6570\u4e0d\u80fd\u8868\u793a\u4e3a\u4e24\u4e2a\u6574\u6570\u7684\u5e73\u65b9\u5dee\uff1b
\uff083\uff09\u8ba1\u7b97\uff1a
10\uff0e\u82e5a\u662f\u81ea\u7136\u6570\uff0c\u5219a4\uff0d3a+9\u662f\u8d28\u6570\u8fd8\u662f\u5408\u6570?\u7ed9\u51fa\u4f60\u7684\u8bc1\u660e\uff0e
(\u201c\u4e94\u57ce\u5e02\u201d\u8054\u8d5b\u9898)
11\uff0e\u5df2\u77e5a\u3001b\u3001c\u6ee1\u8db3a+b\uff1d5\uff0cc2\uff1dab+b\uff0d9\uff0c\u5219c\uff1d \uff0e (\u6c5f\u82cf\u7701\u7ade\u8d5b\u9898)
12\uff0e\u5df2\u77e5\u6b63\u6570a\u3001b\u3001c\u6ee1\u8db3ab+a+b=bc+b+c=ac+a+c\uff0c\u5219(a+1)(b+1)(c+1)= \uff0e(\u5317\u4eac\u5e02\u7ade\u8d5b\u9898)
13\uff0e\u6574\u6570a\u3001b\u6ee1\u8db36ab\uff1d9a\u2014l0b+303\uff0c\u5219a+b= \uff0e(\u201c\u7956\u51b2\u4e4b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
14\uff0e\u5df2\u77e5 \uff0c\u4e14 \uff0c\u5219 \u7684\u503c\u7b49\u4e8e \uff0e
( \u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
15\uff0e\u8bbea<b<c<d\uff0c\u5982\u679cx=(a\uff0bb)(c\uff0bd)\uff0cy=(a+c)(b+d)\uff0cz\uff1d(a+d)(b+c)\uff0c\u90a3\u4e48x\u3001y\u3001z\u7684\u5927\u5c0f\u5173\u7cfb\u4e3a( )
A\uff0ex<y<z B\uff0e y<z<x C\uff0ez <x<y D\uff0e\u4e0d\u80fd\u786e\u5b9a
16\uff0e\u82e5x+y=\uff0d1\uff0c\u5219 \u7684\u503c\u7b49\u4e8e( )
A\uff0e0 B\uff0e\uff0d1 C\uff0e1 D\uff0e 3
( \u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
17\uff0e\u5df2\u77e5\u4e24\u4e2a\u4e0d\u540c\u7684\u8d28\u6570p\u3001q\u6ee1\u8db3\u4e0b\u5217\u5173\u7cfb \uff1a \uff0c \uff0cm\u662f\u9002\u5f53\u7684\u6574\u6570\uff0c\u90a3\u4e48 \u7684\u6570\u503c\u662f( )
A\uff0e4004006 B\uff0e3996005 C\uff0e3996003 D\uff0e4004004
18\uff0e\u8bben\u4e3a\u67d0\u4e00\u81ea\u7136\u6570\uff0c\u4ee3\u5165\u4ee3\u6570\u5f0fn3\uff0dn\u8ba1\u7b97\u5176\u503c\u65f6\uff0c\u56db\u4e2a\u5b66\u751f\u7b97\u51fa\u4e86\u4e0b\u5217\u56db\u4e2a\u7ed3\u679c\uff0e\u5176\u4e2d\u6b63\u786e\u7684\u7ed3\u679c\u662f( )
A\uff0e5814 B\uff0e5841 C\uff0e8415 D\uff0e845l (\u9655\u897f\u7701\u7ade\u8d5b\u9898)
19\uff0e\u6c42\u8bc1\uff1a\u5b58\u5728\u65e0\u7a77\u591a\u4e2a\u81ea\u7136\u6570k\uff0c\u4f7f\u5f97n4+k\u4e0d\u662f\u8d28\u6570\uff0e
20\uff0e\u67d0\u6821\u5728\u5411\u201c\u5e0c\u671b\u5de5\u7a0b\u201d\u6350\u6551\u6d3b\u52a8\u4e2d\uff0c\u7532\u73ed\u7684m\u4e2a\u7537\u751f\u548c11\u4e2a\u5973\u751f\u7684\u6350\u6b3e\u603b\u6570\u4e0e\u4e59\u73ed\u76849\u4e2a\u7537\u751f\u548cn\u4e2a\u5973\u751f\u7684\u6350\u6b3e\u603b\u6570\u76f8\u7b49\uff0c\u90fd\u662f(mn+9m+11n+145)\u5143\uff0c\u5df2\u77e5\u6bcf\u4eba\u7684\u6350\u6b3e\u6570\u76f8\u540c\uff0c\u4e14\u90fd\u662f\u6574\u6570\uff0c\u6c42\u6bcf\u4eba\u7684\u6350\u6b3e\u6570\uff0e (\u5168\u56fd\u521d\u4e2d\u6559\u5b66\u8054\u8d5b\u9898)
21\uff0e\u5df2\u77e5b\u3001c\u662f\u6574\u6570\uff0c\u4e8c\u6b21\u4e09\u9879\u5f0fx2+bx\uff0bc\u65e2\u662fx4+6x2+25\u7684\u4e00\u4e2a\u56e0\u5f0f\uff0c\u4e5f\u662fx3+4x2+28x+5\u7684\u4e00\u4e2a\u56e0\u5f0f\uff0c\u6c42x\uff1d1\u65f6\uff0cx2+bx\uff0bc\u7684\u503c\uff0e
(\u7f8e\u56fd\u4e2d\u5b66\u751f\u6570\u5b66\u7ade\u8d5b\u9898)
22\uff0e\u6309\u4e0b\u9762\u89c4\u5219\u6269\u5145\u65b0\u6570\uff1a
\u5df2\u6709\u4e24\u6570a\u3001b\uff0c\u53ef\u6309\u89c4\u5219c=ab+a+b\u6269\u5145\u4e00\u4e2a\u65b0\u6570\uff0c\u5728a\u3001b\u3001c\u4e09\u4e2a\u6570\u4e2d\u4efb\u53d6\u4e24\u6570\uff0c\u6309\u89c4\u5219\u53c8\u53ef\u6269\u5145\u4e00\u4e2a\u65b0\u6570\uff0c\u2026\u2026\u6bcf\u6269\u5145\u4e00\u4e2a\u65b0\u6570\u53eb\u505a\u4e00\u6b21\u64cd\u4f5c\uff0e
\u73b0\u6709\u65701\u548c4\uff0c(1)\u6c42\u6309\u4e0a\u8ff0\u89c4\u5219\u64cd\u4f5c\u4e09\u6b21\u5f97\u5230\u6269\u5145\u7684\u6700\u5927\u65b0\u6570\uff1b(2)\u80fd\u5426\u901a\u8fc7\u4e0a\u8ff0\u89c4\u5219\u6269\u5145\u5f97\u5230\u65b0\u65701999\uff0c\u5e76\u8bf4\u660e\u7406\u7531\uff0e (\u91cd\u5e86\u5e02\u7ade\u8d5b\u9898)
1\uff0e(1)\u5b8c\u6210\u4e0b\u5217\u914d\u65b9\u95ee\u9898\uff1a
\uff08\u6c5f\u897f\u7701\u4e2d\u8003\u9898\uff09
\uff082\uff09\u5206\u89e3\u56e0\u5f0f\uff1a \u7684\u7ed3\u679c\u662f \uff0e(\u90d1\u5dde\u5e02\u7ade\u8d5b\u9898)
2\uff0e\u82e5 \u6709\u4e00\u4e2a\u56e0\u5f0f\u662fx+1\uff0c\u5219 \uff1d \uff0e
3\uff0e\u82e5 \u662f\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u5219 = \uff0e
(2003\u5e74\u9752\u5c9b\u5e02\u4e2d\u8003\u9898)
4\uff0e\u5df2\u77e5\u591a\u9879\u5f0f \u53ef\u4ee5i\u5206\u89e3\u4e3a \u7684\u5f62\u5f0f\uff0c\u90a3\u4e48 \u7684\u503c\u662f \uff0e ( \u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
5\uff0e\u5df2\u77e5 \uff0c\u5219 \u7684\u503c\u4e3a( )
A\uff0e3 B\uff0e C\uff0e D\uff0e
6\uff0e\u5982\u679c a\u3001b\u662f\u6574\u6570\uff0c\u4e14 \u662f \u7684\u56e0\u5f0f\uff0e\u90a3\u4e48b\u7684\u503c\u4e3a( )
A\uff0e\uff0d2 B\uff0e\uff0dl C\uff0e0 D\uff0e2
(\u6c5f\u82cf\u7701\u7ade\u8d5b\u9898)
7\uff0e d\u5206\u89e3\u56e0\u5f0f\u7684\u7ed3\u679c\u662f\uff08 \uff09
A\uff0e B\uff0e
C\uff0e D\uff0e
(\u5317\u4eac\u5e02\u7ade\u8d5b\u9898)
8\uff0e\u628a\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f\uff1a
(1) \uff1b (2) \uff1b
(3) \uff1b
\uff084\uff09 \uff1b (\u6606\u660e\u5e02\u7ade\u8d5b\u9898)
(5) \uff1b \uff08\u201c\u7956\u51b2\u4e4b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898\uff09
\uff086\uff09 (\u91cd\u5e86\u5e02\u7ade\u8d5b\u9898)
9\uff0e\u5df2\u77e5 \u662f \u7684\u4e00\u4e2a\u56e0\u5f0f\uff0c\u6c42 \u7684\u503c\uff0e
\uff08\u7b2c15\u5c4a\u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898\uff09
10\uff0e\u5df2\u77e5 \u662f\u591a\u9879\u5f0f \u7684\u56e0\u5f0f\uff0c\u5219 \uff1d \uff0e
(\u7b2c15\u5c4a\u6c5f\u82cf\u7701\u7ade\u8d5b\u9898)
11\uff0e\u4e00\u4e2a\u4e8c\u6b21\u4e09\u9879\u5f0f\u7684\u5b8c\u5168\u5e73\u65b9\u5f0f\u662f \uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e8c\u6b21\u4e09\u9879\u5f0f\u662f \uff0e
(\u91cd\u5e86\u5e02\u7ade\u8d5b\u9898)
12\uff0e\u5df2\u77e5 \uff0c\u5219 = \uff0e
(\u5317\u4eac\u5e02\u7ade\u8d5b\u9898)
13\uff0e\u5df2\u77e5 \u4e3a\u6b63\u6574\u6570\uff0c\u4e14 \u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u5219 \u7684\u503c\u4e3a \uff0e
14\uff0e\u8bbem\u3001n\u6ee1\u8db3 \uff0c\u5219 =( )
A\uff0e(2\uff0c2)\u6216(\uff0d2\uff0c\uff0d2) B\uff0e(2\uff0c2)\u6216(2\uff0c\uff0d2)
C\uff0e(2\uff0c\uff0d2)\u6216(\uff0d2\uff0c2) D\uff0e(\uff0d2\uff0c\uff0d2)\u6216(\uff0d2\uff0c2)
15\uff0e\u5c06 \u56e0\u5f0f\u5206\u89e3\u5f97( )
A\uff0e B\uff0e
C\uff0e D\uff0e
16\uff0e\u82e5 a\u3001b\u3001c\u3001d\u90fd\u662f\u6b63\u6570\uff0c\u5219\u5728\u4ee5\u4e0b\u547d\u9898\u4e2d\uff0c\u9519\u8bef\u7684\u662f( )
A\uff0e\u82e5 \uff0c\u5219
B\uff0e\u82e5 \uff0c\u5219
C\uff0e\u82e5 \uff0c\u5219
D\uff0e\u82e5 \uff0c\u5219
17\uff0e\u628a\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f\uff1a
(1) \uff1b (2) \uff1b
(3) \uff1b (4) \uff1b
(5) (2003\u5e74\u6cb3\u5357\u7701\u7ade\u8d5b\u9898)
18\uff0e\u5df2\u77e5\u5173\u4e8ex\u3001y\u7684\u4e8c\u6b21\u5f0f \u53ef\u5206\u89e3\u4e3a\u4e24\u4e2a\u4e00\u6b21\u56e0\u5f0f\u7684\u4e58\u79ef\uff0c\u6c42m\u7684\u503c\uff0e (\u5927\u539f\u5e02\u7ade\u8d5b\u9898)
19\uff0e\u8bc1\u660e\u6052\u7b49\u5f0f\uff1a (\u5317\u4eac\u5e02\u7ade\u8d5b\u9898)
20\uff0e\u4e00\u4e2a\u81ea\u7136\u6570a\u82e5\u6070\u597d\u7b49\u4e8e\u53e6\u4e00\u4e2a\u81ea\u7136\u6570b\u7684\u5e73\u65b9\uff0c\u5219\u79f0\u81ea\u7136\u6570a\u4e3a\u5b8c\u5168\u5e73\u65b9\u6570\uff0e\u598264\uff1d82\uff0c64\u5c31\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u5df2\u77e5a\uff1d20012+20012\u00d7 20022\u534120022\uff0c\u6c42\u8bc1\uff1aa\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\uff0e(\u5e0c\u671b\u676f\u9898)
2.\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u89e3\u6cd5\uff1a
\uff081\uff09\u00b7\u914d\u914d\u00b7\u65b9\u65b9\u00b7\u6cd5\u6cd5\uff1a\u2460\u5316\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bax2\uff0bbx\uff0bc\uff1d0\uff08a\u22600\uff09\u7684\u4e8c\u6b21\u9879\u7cfb\u6570\u4e3a1\uff1b\u2461\u79fb\u9879\uff0c\u4f7f\u65b9\u7a0b\u5de6\u8fb9\u4e3a\u4e8c\u6b21\u9879\u548c\u4e00\u6b21\u9879\uff0c\u53f3\u8fb9\u4e3a\u5e38\u6570\u9879\uff1b\u2462\u65b9\u7a0b\u4e24\u8fb9\u5404\u52a0\u4e0a\u4e00\u6b21\u9879\u7cfb\u6570\u4e00\u534a\u7684\u5e73\u65b9\uff1b\u2463\u53d8\u5f62\u4e3a\uff08x\uff0bp\uff092\uff1dq\u7684\u5f62\u5f0f\uff0c\u5982\u679cq\u22650,\u5219\u65b9\u7a0b\u7684\u6839\u4e3ax\uff1d\uff0dp\u00b1q\u221a\uff1b\u5982\u679cq\uff1c0,\u5219\u65b9\u7a0b\u65e0\u5b9e\u6570\u6839\u3002
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\uff083\uff09\u00b7\u56e0\u56e0\u00b7\u5f0f\u5f0f\u00b7\u5206\u5206\u00b7\u89e3\u89e3\u00b7\u6cd5\u6cd5\uff1a\u2460\u628a\u65b9\u7a0b\u53f3\u8fb9\u5316\u4e3a0,\u5de6\u8fb9\u5316\u4e3a\u4e00\u4e2a\u591a\u9879\u5f0f\uff1b\u2461\u5206\u89e3\u65b9\u7a0b\u5de6\u8fb9\u7684\u591a\u9879\u5f0f\uff0c\u4f7f\u5176\u6210\u4e3a\u4e24\u4e2a\u56e0\u5f0f\u7684\u4e58\u79ef\u7684\u5f62\u5f0f\uff1b\u2462\u4f7f\u65b9\u7a0b\u5de6\u8fb9\u7684\u4e24\u4e2a\u56e0\u5f0f\u5206\u522b\u4e3a0,\u5c06\u539f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5316\u4e3a\u4e24\u4e2a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\uff1b\u2463\u5206\u522b\u89e3\u4e24\u4e2a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\uff0c\u5f97\u5230\u7684\u89e3\u4e3a\u539f\u65b9\u7a0b\u7684\u4e24\u4e2a\u6839\u3002\u4efb\u4f55\u4e00\u4e2a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u90fd\u53ef\u4ee5\u7528\u914d\u65b9\u6cd5\u548c\u516c\u5f0f\u6cd5\u6765\u89e3\u3002\u6839\u636e\u9898\u76ee\u7684\u7279\u70b9\uff0c\u7075\u6d3b\u9009\u62e9\u9002\u5f53\u7684\u65b9\u6cd5\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u53ef\u4f7f\u8fd0\u7b97\u7b80\u4fbf\u3002\u5728\u4ee5\u4e0a\u4e09\u79cd\u89e3\u6cd5\u4e2d\uff0c\u4f18\u5148\u9009\u62e9\u987a\u5e8f\u4f9d\u6b21\u4e3a\uff1a\u5206\u89e3\u56e0\u5f0f\u6cd5\u2192\u516c\u5f0f\u6cd5\u2192\u914d\u65b9\u6cd5\u3002
\u3010\u4f8b2\u3011\uff082005\u00b7\u5317\u4eac\uff09\u7528\u914d\u65b9\u6cd5\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff1ax2\uff0d4x\uff0b1\uff1d0\u3002
\u3010\u89e3\u6790\u3011\u638c\u63e1\u914d\u65b9\u7684\u539f\u7406\u662f\u89e3\u65b9\u7a0b\u7684\u5173\u952e\u3002\u2235x2\uff0d4x\uff0b1\uff1d0,\u2234x2\uff0d4x\uff1d\uff0d1\u3002\u4e24\u8fb9\u52a0\u4e0a\u4e00\u6b21\u9879\u7cfb\u6570\u4e00\u534a\u7684\u5e73\u65b9\uff0c\u5f97\uff1ax2\uff0d4x\uff0b22\uff1d\uff0d1\uff0b22\u3002\u5373\uff08x\uff0d2\uff092\uff1d3,\u2234x\uff0d2\uff1d\u00b13\u221a\uff0c\u2234x\uff1d2\u00b13\u221a\u3002\u2234x1\uff1d2\uff0b3\u221a\uff0cx2\uff1d2\uff0d3\u221a\u9898\u578b3\u7528\u516c\u5f0f\u6cd5\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b
\u3010\u4f8b3\u3011\uff082005\u00b7\u5c71\u897f\uff09\u89e3\u65b9\u7a0b\uff1a3x2\uff0d6x\uff0b1\uff1d0\u3002
\u3010\u89e3\u6790\u3011\u627e\u51faa\uff0cb\uff0cc\u7684\u503c\uff0c\u7528\u6c42\u6839\u516c\u5f0f\u6c42\u89e3\u65b9\u7a0b\u3002
\u2235a\uff1d3,b\uff1d\uff0d6,c\uff1d1,\u2234b2\uff0d4ac\uff1d\uff08\uff0d6\uff092\uff0d4\u00d73\u00d71\uff1d24\uff1e0,x\uff1d6\u00b124\u221a2\u00d73\uff1d3\u00b16\u221a3\u3002\u2234x1\uff1d3\uff0b6\u221a3,x2\uff1d3\uff0d6\u221a3\u3002
\u3010\u4f8b5\u3011\uff082005\u00b7\u5357\u4eac\uff09\u5728\u957f\u65b9\u5f62\u955c\u9762\u73bb\u7483\u7684\u56db\u5468\u9576\u4e0a\u4e0e\u5b83\u7684\u5468\u957f\u76f8\u7b49\u7684\u8fb9\u6846\uff0c\u5236\u6210\u4e00\u9762\u955c\u5b50\uff0c\u955c\u5b50\u7684\u957f\u4e0e\u5bbd\u7684\u6bd4\u662f2\uff1a1,\u5df2\u77e5\u955c\u9762\u73bb\u7483\u7684\u4ef7\u683c\u662f\u6bcf\u5e73\u65b9\u7c73120\u5143\uff0c\u8fb9\u6846\u7684\u4ef7\u683c\u662f\u6bcf\u7c7330\u5143\uff0c\u53e6\u5916\u5236\u4f5c\u8fd9\u9762\u955c\u5b50\u8fd8\u9700\u52a0\u5de5\u8d3945\u5143\u3002\u8bbe\u5236\u4f5c\u8fd9\u9762\u955c\u5b50\u7684\u603b\u8d39\u7528\u662fy\u5143\uff0c\u955c\u5b50\u7684\u5bbd\u662fx\u7c73\u3002
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\u3010\u89e3\u6790\u3011\u8ba4\u771f\u8bfb\u9898\uff0c\u5f04\u61c2\u9898\u610f\uff0c\u6ce8\u610f\u955c\u5b50\u7684\u957f\u4e0e\u5bbd\uff0c\u5217\u51fa\u65b9\u7a0b\u5e76\u89e3\u804c\u5373\u53ef\u3002\uff081\uff09\u6c42y\u4e0ex\u4e4b\u95f4\u7684\u5173\u7cfb\u5f0f\u662f\uff1ay\uff1d120\u00d72x\u00d7x\uff0b30\u00d72\uff082x\uff0bx\uff09\uff0b45,\u5373y\uff1d240x2\uff0b180x\uff0b45\u3002\uff082\uff09\u5f53y\uff1d195\u65f6\uff0c\u6709240x2\uff0b180x\uff0b45\uff1d195,
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\u56db\u3001\u5bf9\u5e94\u7ec3\u4e60
1.\uff082004\u00b7\u798f\u5efa\uff09\u82e5\u65b9\u7a0b\uff08m\uff0d1\uff09x2\uff0bm\u221ax\uff1d1\u662f\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff0c\u5219\uff08\uff09\u3002\uff08A\uff09m\u22601\uff08B\uff09m\u22650\uff08C\uff09m\u22650\u4e14m\u22601\uff08D\uff09m\u4e3a\u4efb\u610f\u5b9e\u6570
2.\uff082004\u00b7\u8d35\u5dde\uff09\u7528\u914d\u65b9\u6cd5\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff1a2x2\uff0d6x\uff0d1\uff1d0
3.\uff082005\u00b7\u6b66\u6c49\uff09\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff1ax2\uff0b5x\uff0b3\uff1d0
4.\uff082005\u00b7\u9ed1\u9f99\u6c5f\uff09\u89e3\u65b9\u7a0b\uff1a\uff08x\uff0d2\u221a\uff09\uff1d5x\uff082\u221a\uff0dx\uff09
5.\uff082005\u00b7\u957f\u6c99\uff09\u67d0\u901a\u8baf\u5668\u6750\u516c\u53f8\u9500\u552e\u4e00\u79cd\u5e02\u573a\u9700\u6c42\u8f83\u5927\u7684\u65b0\u578b\u901a\u8baf\u4ea7\u54c1\u3002\u5df2\u77e5\u6bcf\u4ef6\u4ea7\u54c1\u7684\u8fdb\u4ef7\u4e3a40\u5143\uff0c\u6bcf\u5e74\u9500\u552e\u8be5\u79cd\u4ea7\u54c1\u7684\u603b\u5f00\u652f\uff08\u4e0d\u542b\u8fdb\u4ef7\uff09\u603b\u8ba1120\u4e07\u5143\uff0e\u5728\u9500\u552e\u8fc7\u7a0b\u4e2d\u53d1\u73b0\uff0c\u5e74\u9500\u552e\u91cfy\uff08\u4e07\u4ef6\uff09\u4e0e\u9500\u552e\u5355\u4ef7x\uff08\u5143\uff09\u4e4b\u95f4\u5b58\u5728\u5982\u56fe\u6240\u793a\u7684\u4e00\u6b21\u51fd\u6570\u5173\u7cfb\u3002
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\uff083\uff09\u82e5\u516c\u53f8\u5e0c\u671b\u8be5\u79cd\u4ea7\u54c1\u4e00\u5e74\u7684\u9500\u552e\u83b7\u5229\u4e0d\u4f4e\u4e8e40\u4e07\u5143\uff0c\u501f\u52a9\uff082\uff09\u4e2d\u51fd\u6570\u7684\u56fe\u8c61\uff0c\u8bf7\u4f60\u5e2e\u52a9\u8be5\u516c\u53f8\u786e\u5b9a\u9500\u552e\u5355\u4ef7\u7684\u8303\u56f4\u3002\u5728\u6b64\u60c5\u51b5\u4e0b\uff0c\u8981\u4f7f\u4ea7\u54c1\u9500\u552e\u91cf\u6700\u5927\uff0c\u4f60\u8ba4\u4e3a\u9500\u552e\u5355\u4ef7\u5e94\u5b9a\u4e3a\u591a\u5c11\u5143\uff1f
2007\u5e74\u4e2d\u8003\u8bd5\u9898\u5206\u7c7b\u6c47\u7f16\uff08\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff09
\u4e00\u3001\u9009\u62e9\u9898
1\u3001\uff082007\u5df4\u4e2d\u5e02\uff09\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \u7684\u6839\u7684\u60c5\u51b5\u4e3a\uff08 \uff09B
A\uff0e\u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839 B\uff0e\u6709\u4e24\u4e2a\u4e0d\u76f8\u7b49\u7684\u5b9e\u6570\u6839
C\uff0e\u53ea\u6709\u4e00\u4e2a\u5b9e\u6570\u6839 D\uff0e\u6ca1\u6709\u5b9e\u6570\u6839
2\u3001\uff082007\u5b89\u5fbd\u6cf8\u5dde\uff09\u82e5\u5173\u4e8ez\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \u6ca1\u6709\u5b9e\u6570\u6839\uff0c\u5219\u5b9e\u6570m\u7684\u53d6\u503c\u8303\u56f4\u662f\uff08 \uff09C
A\uff0em-1 C\uff0em>l D\uff0em<-1
3\u3001\uff082007\u56db\u5ddd\u7709\u5c71\uff09\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2\uff0bx\uff0b2\uff1d0\u7684\u6839\u7684\u60c5\u51b5\u662f\uff08 \uff09C
A\uff0e\u6709\u4e24\u4e2a\u4e0d\u76f8\u7b49\u7684\u6b63\u6839 B\uff0e\u6709\u4e24\u4e2a\u4e0d\u76f8\u7b49\u7684\u8d1f\u6839
C\uff0e\u6ca1\u6709\u5b9e\u6570\u6839 D\uff0e\u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839
4\u3001\uff082007\u56db\u5ddd\u5185\u6c5f\uff09\u7528\u914d\u65b9\u6cd5\u89e3\u65b9\u7a0b \uff0c\u4e0b\u5217\u914d\u65b9\u6b63\u786e\u7684\u662f\uff08 \uff09A
A\uff0e B\uff0e C\uff0e D\uff0e
5\u3001\uff082007\u56db\u5ddd\u5185\u6c5f\uff09\u5df2\u77e5\u51fd\u6570 \u7684\u56fe\u8c61\u5982\u56fe\uff087\uff09\u6240\u793a\uff0c\u90a3\u4e48\u5173\u4e8e \u7684\u65b9\u7a0b \u7684\u6839\u7684\u60c5\u51b5\u662f\uff08 \uff09D
A\uff0e\u65e0\u5b9e\u6570\u6839 B\uff0e\u6709\u4e24\u4e2a\u76f8\u7b49\u5b9e\u6570\u6839
C\uff0e\u6709\u4e24\u4e2a\u5f02\u53f7\u5b9e\u6570\u6839 D\uff0e\u6709\u4e24\u4e2a\u540c\u53f7\u4e0d\u7b49\u5b9e\u6570\u6839
6\u3001\uff082007\u5e7f\u5dde\uff09\u5173\u4e8ex\u7684\u65b9\u7a0b \u7684\u4e24\u6839\u540c\u4e3a\u8d1f\u6570\uff0c\u5219\uff08 \uff09A
A\uff0e \u4e14 B\uff0e \u4e14
C\uff0e \u4e14 D\uff0e \u4e14
7\u3001\uff082007\u5c71\u4e1c\u6dc4\u535a\uff09\u82e5\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \u7684\u4e24\u4e2a\u5b9e\u6570\u6839\u5206\u522b\u662f ,\u4e14\u6ee1\u8db3 .\u5219k\u7684\u503c\u4e3a\uff08 \uff09C
\uff08A\uff09\uff0d1\u6216 \uff08B\uff09\uff0d1 \uff08C\uff09 \uff08D\uff09\u4e0d\u5b58\u5728
8\u3001\uff082007\u56db\u5ddd\u6210\u90fd\uff09\u4e0b\u5217\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u4e2d\uff0c\u6709\u4e24\u4e2a\u4e0d\u76f8\u7b49\u7684\u5b9e\u6570\u6839\u7684\u65b9\u7a0b\u662f\uff08 \uff09D
\uff08A\uff09x2\uff0b4\uff1d0 \uff08B\uff094x2\uff0d4x\uff0b1\uff1d0 \uff08C\uff09x2\uff0bx\uff0b3\uff1d0 \uff08D\uff09x2\uff0b2x\uff0d1\uff1d0
9\u3001\uff082007\u6e56\u5357\u5cb3\u9633\uff09\u67d0\u5546\u54c1\u539f\u4ef7200\u5143\uff0c\u8fde\u7eed\u4e24\u6b21\u964d\u4ef7a\uff05\u540e\u552e\u4ef7\u4e3a148\u5143\uff0c\u4e0b\u5217\u6240\u5217\u65b9\u7a0b\u6b63\u786e\u7684\u662f\uff08 \uff09B
A\uff1a200(1+a%)2=148 B\uff1a200(1\uff0da%)2=148
C\uff1a200(1\uff0d2a%)=148 D\uff1a200(1\uff0da2%)=148
10\u3001\uff082007\u6e56\u5317\u8346\u95e8\uff09\u4e0b\u5217\u65b9\u7a0b\u4e2d\u6709\u5b9e\u6570\u6839\u7684\u662f\uff08 \uff09C
\uff08A\uff09x2\uff0b2x\uff0b3\uff1d0 \uff08B\uff09x2\uff0b1\uff1d0 \uff08C\uff09x2\uff0b3x\uff0b1\uff1d0 \uff08D\uff09
11\u3001\uff082007\u5b89\u5fbd\u829c\u6e56\uff09\u5df2\u77e5\u5173\u4e8ex \u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \u6709\u4e24\u4e2a\u4e0d\u76f8\u7b49\u7684\u5b9e\u6570\u6839\uff0c\u5219m\u7684\u53d6\u503c\u8303\u56f4\u662f( ) A
A\uff0e m\uff1e\uff0d1 B\uff0e m\uff1c\uff0d2 C\uff0em \u22650 D\uff0em\uff1c0
12\u3001\uff082007\u6e56\u5317\u6b66\u6c49\uff09\u5982\u679c2\u662f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2\uff1dc\u7684\u4e00\u4e2a\u6839\uff0c\u90a3\u4e48\u5e38\u6570c\u662f\uff08 \uff09\u3002C
A\u30012 B\u3001\uff0d2 C\u30014 D\u3001\uff0d4
\u4e8c\u3001\u586b\u7a7a\u9898
1\u3001\uff082007\u91cd\u5e86\uff09\u5df2\u77e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \u7684\u4e24\u6839\u4e3a \u3001 \uff0c\u5219
2\u3001\uff082007\u91cd\u5e86\uff09\u65b9\u7a0b \u7684\u89e3\u4e3a \u3002 \uff0c
3\u3001\uff082007\u56db\u5ddd\u5fb7\u9633\uff09\u9605\u8bfb\u6750\u6599\uff1a\u8bbe\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \u7684\u4e24\u6839\u4e3a \uff0c \uff0c\u5219\u4e24\u6839\u4e0e\u65b9\u7a0b\u7cfb\u6570\u4e4b\u95f4\u6709\u5982\u4e0b\u5173\u7cfb\uff1a \uff0c \uff0e\u6839\u636e\u8be5\u6750\u6599\u586b\u7a7a\uff1a
\u5df2\u77e5 \uff0c \u662f\u65b9\u7a0b \u7684\u4e24\u5b9e\u6570\u6839\uff0c\u5219 \u7684\u503c\u4e3a______ 10
4\u3001\uff082007\u56db\u5ddd\u7709\u5c71\uff09\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2\uff0bbx\uff0bc\uff1d0\u7684\u4e24\u4e2a\u5b9e\u6570\u6839\u5206\u522b\u4e3a1\u548c2\uff0c\u5219b\uff1d______\uff1bc\uff1d______\uff0e \uff0d3,2
5\u3001\uff082007\u6d59\u6c5f\u6e29\u5dde\uff09\u65b9\u7a0b \u7684\u89e3\u662f \uff0e \uff1d0\uff0c \uff1d2
6\u3001\uff082007\u6e56\u5357\u6000\u5316\uff09\u5df2\u77e5\u65b9\u7a0b \u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839\uff0c\u5219
7\u3001\uff082007\u6d59\u6c5f\u5b81\u6ce2\uff09\u65b9\u7a0bx2+2x=0\u7684\u89e3\u4e3a \uff1d0\uff0c \uff1d\uff0d2
8\u3001\uff082007\u6d59\u6c5f\u7701\u8427\u5c71\u4e2d\u5b66\u81ea\u4e3b\u62db\u751f\u8003\u8bd5\uff09\u5df2\u77e5\u65b9\u7a0b \u5728\u5b9e\u6570\u8303\u56f4\u5185\u6052\u6709\u89e3\uff0c\u5e76\u4e14\u6070\u6709\u4e00\u4e2a\u89e3\u5927\u4e8e1\u5c0f\u4e8e2\uff0c\u5219 \u7684\u53d6\u503c\u8303\u56f4\u662f \uff0e
\u6216
9\u3001\uff082007\u56db\u5ddd\u6210\u90fd\uff09\u5df2\u77e5x\u662f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2\uff0b3x\uff0d1\uff1d0\u7684\u5b9e\u6570\u6839\uff0c\u90a3\u4e48\u4ee3\u6570\u5f0f \u7684\u503c\u4e3a\uff3f\uff3f\uff3f\uff3f
10\u3001\uff082007\u56db\u5ddd\u4e50\u5c71\uff09\u5df2\u77e5 \u662f\u5173\u4e8e \u7684\u65b9\u7a0b \u7684\u4e00\u4e2a\u6839\uff0c\u5219 _______\uff0e
\u6216
11\u3001\uff082007\u5317\u4eac\uff09\u82e5\u5173\u4e8e \u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \u6ca1\u6709\u5b9e\u6570\u6839\uff0c\u5219 \u7684\u53d6\u503c\u8303\u56f4\u662f \uff0e
\u89e3\uff1a\u25b3\uff1d4\uff0b4k\uff1c0\uff0c\u89e3\u5f97\uff1ak\uff1c\uff0d1
12\u3001\uff082007\u6c5f\u82cf\u6dee\u5b89\uff09\u5199\u51fa\u4e00\u4e2a\u4e24\u5b9e\u6570\u6839\u7b26\u53f7\u76f8\u53cd\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff1a__________________\u3002
\u7b54\u6848\u4e0d\u552f\u4e00\uff1a\u5982
13\u3001\uff082007\u5b89\u5fbd\u829c\u6e56\uff09\u5df2\u77e5 \u662f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \u7684\u4e00\u4e2a\u6839\uff0c\u5219\u65b9\u7a0b\u7684\u53e6\u4e00\u4e2a\u6839\u662f \uff0e
\u4e09\u3001\u89e3\u7b54\u9898
1\u3001\uff082007\u5317\u4eac\uff09\u89e3\u65b9\u7a0b\uff1a \uff0e
\u89e3\uff1a\u914d\u65b9\uff0c\u5f97\uff1a\uff08x\uff0b2\uff092\uff1d5\uff0c\u89e3\u5f97\uff1ax1\uff1d\uff0d2\uff0b \uff0cx2\uff1d\uff0d2\uff0d \uff0c
2\u3001\uff082007\u6d59\u6c5f\u5609\u5174\uff09\u89e3\u65b9\u7a0b\uff1ax2\uff0b3\uff1d3(x\uff0b1)\uff0e
\u89e3\uff1a\u539f\u65b9\u7a0b\u53d8\u4e3a\uff1ax2\uff0d3x\uff1d0\uff0c\u89e3\u5f97\uff1a \uff1d0\uff0c \uff1d3
3\u3001\uff082007\u6e56\u5357\u682a\u5dde\uff09\u5df2\u77e5x\uff1d1\u662f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \u7684\u4e00\u4e2a\u89e3\uff0c\u4e14 \uff0c\u6c42 \u7684\u503c.
\u89e3\uff1a\u628ax\uff1d1\u4ee3\u5165\u65b9\u7a0b\uff0c\u5f97\uff1a \uff0b \uff1d40\uff0c\u53c8
\u6240\u4ee5\uff0c \uff1d \uff1d \uff1d20\u3002
4\u3001\uff082007\u6e56\u5317\u5929\u95e8\uff09\u5df2\u77e5\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2\uff0b4x\uff0bm\uff0d1\uff1d0\u3002
(1)\u8bf7\u4f60\u4e3am\u9009\u53d6\u4e00\u4e2a\u5408\u9002\u7684\u6574\u6570\uff0c\u4f7f\u5f97\u5230\u7684\u65b9\u7a0b\u6709\u4e24\u4e2a\u4e0d\u76f8\u7b49\u7684\u5b9e\u6570\u6839\uff1b
(2)\u8bbe\u03b1\u3001\u03b2\u662f(1)\u4e2d\u4f60\u6240\u5f97\u5230\u7684\u65b9\u7a0b\u7684\u4e24\u4e2a\u5b9e\u6570\u6839\uff0c\u6c42\u03b12\uff0b\u03b22\uff0b\u03b1\u03b2\u7684\u503c\u3002
\u89e3\uff1a\uff081\uff09\u53d6m\uff1d1\uff0c\u5f97\u65b9\u7a0bx2\uff0b4x\uff1d0\uff0c\u5b83\u6709\u4e24\u4e2a\u4e0d\u7b49\u5b9e\u6570\u6839\uff1a \uff1d0\uff0c \uff1d\uff0d4
\uff082\uff09\u03b1\uff1d0\uff0c\u03b2\uff1d4\uff0c\u03b12\uff0b\u03b22\uff0b\u03b1\u03b2\uff1d0\uff0b16\uff0b0\uff1d16
5\u3001\uff082007\u5b89\u5fbd\u7701\uff09\u636e\u62a5\u9053\uff0c\u6211\u7701\u519c\u4f5c\u7269\u79f8\u6746\u7684\u8d44\u6e90\u5de8\u5927\uff0c\u4f46\u5408\u7406\u5229\u7528\u91cf\u5341\u5206\u6709\u9650\uff0c2006\u5e74\u7684\u5229\u7528\u7387\u53ea\u670930%\uff0c\u5927\u90e8\u5206\u79f8\u6746\u88ab\u76f4\u63a5\u711a\u70e7\u4e86\uff0c\u5047\u5b9a\u6211\u7701\u6bcf\u5e74\u4ea7\u51fa\u7684\u519c\u4f5c\u7269\u79f8\u6746\u603b\u91cf\u4e0d\u53d8\uff0c\u4e14\u5408\u7406\u5229\u7528\u91cf\u7684\u589e\u957f\u7387\u76f8\u540c\uff0c\u8981\u4f7f2008\u5e74\u7684\u5229\u7528\u7387\u63d0\u9ad8\u523060%\uff0c\u6c42\u6bcf\u5e74\u7684\u589e\u957f\u7387\u3002(\u53d6 \u22481.41)
\u89e3\uff1a\u8bbe\u6211\u7701\u6bcf\u5e74\u4ea7\u51fa\u7684\u519c\u4f5c\u7269\u79f8\u6746\u603b\u91cf\u4e3aa\uff0c\u5408\u7406\u5229\u7528\u91cf\u7684\u589e\u957f\u7387\u662fx\uff0c\u7531\u9898\u610f\u5f97\uff1a
30%a\uff081\uff0bx\uff092=60%a\uff0c\u5373\uff081\uff0bx\uff092=2\u2026\u2026\u2026\u20265\u5206
\u2234x1\u22480.41\uff0cx2\u2248\uff0d2.41(\u4e0d\u5408\u9898\u610f\u820d\u53bb)\u3002\u2026\u20267\u5206
\u2234x\u22480.41\u3002
\u5373\u6211\u7701\u6bcf\u5e74\u79f8\u79c6\u5408\u7406\u5229\u7528\u91cf\u7684\u589e\u957f\u7387\u7ea6\u4e3a41%\u3002\u2026\u2026\u20268\u5206
6\u3001\uff082007\u56db\u5ddd\u7709\u5c71\uff09\u9ec4\u91d1\u5468\u957f\u5047\u63a8\u52a8\u4e86\u65c5\u6e38\u7ecf\u6d4e\u7684\u53d1\u5c55\uff0e\u4e0b\u56fe\u662f\u6839\u636e\u56fd\u5bb6\u65c5\u6e38\u5c40\u63d0\u4f9b\u7684\u8fd1\u5e74\u6765\u5386\u6b21\u9ec4\u91d1\u5468\u65c5\u6e38\u6536\u5165\u53d8\u5316\u56fe\uff0e
(1)\u6839\u636e\u56fe\u4e2d\u63d0\u4f9b\u7684\u4fe1\u606f\uff0e\u8bf7\u4f60\u5199\u51fa\u4e24\u6761\u7ed3\u8bba\uff1b
(2)\u6839\u636e\u56fe\u4e2d\u6570\u636e\uff0c\u6c422002\u5e74\u81f32004\u5e74\u7684\u201c\u5341\u4e00\u201d\u9ec4\u91d1\u5468\u5168\u56fd\u65c5\u6e38\u6536\u5165\u5e73\u5747\u6bcf\u5e74\u589e\u957f\u7684\u767e\u5206\u7387(\u7cbe\u786e\u52300\uff0e1)
\u89e3\uff1a\uff081\uff09\u2460\u5386\u5e74\u6625\u8282\u65c5\u6e38\u6536\u5165\u4f4e\u4e8e\u201c\u4e94\u4e00\u201d\u548c\u201c\u5341\u4e00\u201d\u65c5\u6e38\u6536\u5165\uff1b
\u2461\u9ec4\u91d1\u5468\u65c5\u6e38\u6536\u5165\u5448\u4e0a\u5347\u8d8b\u52bf\u3002\u2509\u2509
\uff082\uff09\u8bbe\u5e73\u5747\u6bcf\u5e74\u589e\u957f\u7684\u767e\u5206\u7387\u4e3ax\uff0c\u5219300\uff081\uff0bx\uff092\uff1d400\uff0c
\u89e3\u5f97\uff1a \uff1d\uff0d1\uff0b \uff0c \uff1d\uff0d1\uff0d \uff08\u4e0d\u5408\u9898\u610f\uff0c\u820d\u53bb\uff09\uff0c
\u6240\u4ee5\uff0c \uff1d\uff0d1\uff0b \u22480.155\uff0c
\u7b54\uff1a\u5e73\u5747\u6bcf\u5e74\u589e\u957f\u7684\u767e\u5206\u7387\u4e3a15.5%\u3002
7\u3001\uff082007\u56db\u5ddd\u7ef5\u9633\uff09\u5df2\u77e5x1\uff0cx2 \u662f\u5173\u4e8ex\u7684\u65b9\u7a0b\uff08x\uff0d2\uff09\uff08x\uff0dm\uff09=\uff08p\uff0d2\uff09\uff08p\uff0dm\uff09\u7684\u4e24\u4e2a\u5b9e\u6570\u6839\uff0e
\uff081\uff09\u6c42x1\uff0cx2 \u7684\u503c\uff1b
\uff082\uff09\u82e5x1\uff0cx2 \u662f\u67d0\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u4e24\u76f4\u89d2\u8fb9\u7684\u957f\uff0c\u95ee\u5f53\u5b9e\u6570m\uff0cp\u6ee1\u8db3\u4ec0\u4e48\u6761\u4ef6\u65f6\uff0c\u6b64\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u6700\u5927\uff1f\u5e76\u6c42\u51fa\u5176\u6700\u5927\u503c\uff0e
\u89e3\uff1a\uff081\uff09 \u539f\u65b9\u7a0b\u53d8\u4e3a\uff1ax2\uff0d\uff08m + 2\uff09x + 2m = p2\uff0d\uff08m + 2\uff09p + 2m\uff0c
\u2234 x2\uff0dp2\uff0d\uff08m + 2\uff09x +\uff08m + 2\uff09p = 0\uff0c
\uff08x\uff0dp\uff09\uff08x + p\uff09\uff0d\uff08m + 2\uff09\uff08x\uff0dp\uff09= 0\uff0c
\u5373 \uff08x\uff0dp\uff09\uff08x + p\uff0dm\uff0d2\uff09= 0\uff0c
\u2234 x1 = p\uff0c x2 = m + 2\uff0dp\uff0e
\uff082\uff09\u2235 \u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u4e3a =
=
= \uff0c
\u2234 \u5f53 \u4e14m\uff1e\uff0d2\u65f6\uff0c\u4ee5x1\uff0cx2\u4e3a\u4e24\u76f4\u89d2\u8fb9\u957f\u7684\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u6700\u5927\uff0c\u6700\u5927\u9762\u79ef\u4e3a \u6216 \uff0e
http://61.177.186.215:811/gbxyzzx/attachments/month_0801/w200812182720.doc
41.因式分解2ax2－3x＋2ax－3＝ 。
42.因式分解9x2－66x＋121＝ 。
43.因式分解8－2x2＝ 。
44.因式分解x2－x＋14 ＝ 。
45.因式分解9x2－30x＋25＝ 。
46.因式分解－20x2＋9x＋20＝ 。
47.因式分解12x2－29x＋15＝ 。
48.因式分解36x2＋39x＋9＝ 。
49.因式分解21x2－31x－22＝ 。
50.因式分解9x4－35x2－4＝ 。
51.因式分解(2x＋1)(x＋1)＋(2x＋1)(x－3)＝ 。
52.因式分解2ax2－3x＋2ax－3＝ 。
53.因式分解x(y＋2)－x－y－1＝ 。
54.因式分解(x2－3x)＋(x－3)2＝ 。
55.因式分解9x2－66x＋121＝ 。
56.因式分解8－2x2＝ 。
57.因式分解x4－1＝ 。
58.因式分解x2＋4x－xy－2y＋4＝ 。
59.因式分解4x2－12x＋5＝ 。
60.因式分解21x2－31x－22＝ 。
61.因式分解4x2＋4xy＋y2－4x－2y－3＝ 。
62.因式分解9x5－35x3－4x＝ 。
63.因式分解下列各式：
(1)3x2－6x＝ 。
(2)49x2－25＝ 。
(3)6x2－13x＋5＝ 。
(4)x2＋2－3x＝ 。
(5)12x2－23x－24＝ 。
(6)(x＋6)(x－6)－(x－6)＝ 。
(7)3(x＋2)(x－5)－(x＋2)(x－3)＝ 。
(8)9x2＋42x＋49＝ 。
(1)(x＋2)－2(x＋2)2＝ 。
(2)36x2＋39x＋9＝ 。
(3)2x2＋ax－6x－3a＝ 。
(4)22x2－31x－21＝ 。
70.因式分解3ax2－6ax＝ 。
71.因式分解(x＋1)x－5x＝ 。
72.因式分解(2x＋1)(x－3)－(2x＋1)(x－5)＝
73.因式分解xy＋2x－5y－10＝
74.因式分解x2y2－x2－y2－6xy＋4＝
x3＋2x2＋2x＋1
a2b2－a2－b2＋1
(1)3ax2－2x＋3ax－2
(x2－3x)＋(x－3)2＋2x－6
1)(2x＋3)(x－2)＋(x＋1)(2x＋3)
9x2－66x＋121
17.因式分解
(1)8x2－18 (2)x2－(a－b)x－ab
18.因式分解下列各式
(1)9x4＋35x2－4 (2)x2－y2－2yz－z2
(3)a(b2－c2)－c(a2－b2)
19.因式分解(2x＋1)(x＋1)＋(2x＋1)(x－3)
20.因式分解39x2－38x＋8
21.利用因式分解求(6512 )2－(3412 )2之值
22.因式分解a(b2－c2)－c(a2－b2)
24.因式分解7(x－1)2＋4(x－1)(y＋2)－20(y+2)2
25.因式分解xy2－2xy－3x－y2－2y－1
26.因式分解4x2－6ax＋18a2
27.因式分解20a3bc－9a2b2c－20ab3c
28.因式分解2ax2－5x＋2ax－5
29.因式分解4x3＋4x2－25x－25
30.因式分解(1－xy)2－(y－x)2
31.因式分解
(1)mx2－m2－x＋1 (2)a2－2ab＋b2－1
32.因式分解下列各式
(1)5x2－45 (2)81x3－9x (3)x2－y2－5x－5y (4)x2－y2＋2yz－z2
33.因式分解：xy2－2xy－3x－y2－2y－1
34.因式分解y2(x－y)＋z2(y－x)
1)因式分解x2＋x＋y2－y－2xy＝
35.因式分解x2－25＝ 。
36.因式分解x2－20x＋100＝ 。
37.因式分解x2＋4x＋3＝ 。
38.因式分解4x2－12x＋5＝ 。
39.因式分解下列各式：
(1)3ax2－6ax＝ 。
(2)x(x＋2)－x＝ 。
(3)x2－4x－ax＋4a＝ 。
(4)25x2－49＝ 。
(5)36x2－60x＋25＝ 。
(6)4x2＋12x＋9＝ 。
(7)x2－9x＋18＝ 。
(8)2x2－5x－3＝ 。
(9)12x2－50x＋8＝ 。
140．m2(p-q)-p+q
141．(2m+3n)(2m-n)-4n(2m-n)．
142．(x+2y)2-x2-2xy．
143．a(ab+bc+ac)-abc．
144．ab-a-b+1．
145．xyz-xy-xz+x-yz+y+z-1．
146．x4-2y4-2x3y+xy3．
148．abc(a2+b2+c2)-a3bc+2ab2c2．
149．(a-b-c)(a+b-c)-(b-c-a)(b+c-a)．
150．a2(b-c)+b2(c-a)+c2(a-b)．
a(a+b)(a-b)-a(a+b)2．
152．(x2-2x)2+2x(x-2)+1．
153．2acd-c2a-ad2．
154．(x-y)2+12(y-x)z+36z2．
156．x2-4ax+8ab-4b2．
157．a2b2+c2d2-2abcd+2ab-2cd+1．
158．(ax+by)2+(ay-bx)2+2(ax+by)(ay-bx)．
160．(1-a2)(1-b2)-(a2-1)2(b2-1)2．
161．3x4-48y4．
162．(x+1)2-9(x-1)2．
163．(x2+pq)2-(p+q)2x2．
164．(1+2xy)2-(x2+y2)2．
165．4a2b2-(a2+b2)2．
166．4a2b2-(a2+b2-c2)2．
167．(c2-a2-b2)2-4a2b2．
168．(x2-b2+y2-a2)2-4(ab-xy)2．
169．64a4(x+1)2-49b4(x+1)4．
170．ab2-ac2+4ac-4a．
171．4a2-c2+6ab+3bc．
172．x3n+y3n．
174．(x+y)3+125．
176．(m-n)6-(m+n)6．
177．(x+1)6-(x-1)6．
178．a12-b12．
179．(z-x)3-(y+z)3．
180．(3m-2n)3+(3m+2n)3．
181．x6(x2-y2)+y6(y2-x2)．
182．8(x+y)3+1．
183．(a-1)3-(b+1)3．
184．(a+b+c)3-a3-b3-c3．
185．x2+4xy+3y2．
186．x2y2-18xy+65．
187．x2+18x-144．
188．x2+30x+144．
189．x4+2x2-8．
190．3x4+6x2-9．
191．-m4+18m2-17．
192．3x4-7x2y2-20y4．
193．x5-2x3-8x
． 194．a3-5a2b-300ab2．
195．x8+19x5-216x2．
196．6a4n+k-a2n+k-35ak．
199．30x2+8xy-182y2．
200．m4+14m2-15．
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