螺丝钉m2*4、m2*5、m2*6有区别吗 有两个N位整数，将他们分别颠倒后表示成（......（（a(...
\u4e00\u95f4\u6559\u5ba4\u957f8m\u5bbd6m\u9ad84cm ,\u95e8\u7a97\u7684\u9762\u79ef\u662f15m2.\u73b0\u5728\u8981\u7c89\u5237\u6559\u5ba4\u7684\u56db\u58c1\u548c\u5e73\u9876,\u5982\u679c\u7c89\u5237\u6bcf\u5e73\u65b9\u7c735\u51438*6+\uff088+6+8+6\uff09*4-15=145
145*5=725 \u5171725\u5143
6..\u7532\u3001\u4e59\u4e24\u8f66\u957f\u5ea6\u5747\u4e3a180\u7c73\uff0c\u82e5\u4e24\u5217\u8f66\u76f8\u5bf9\u884c\u9a76\uff0c\u4ece\u8f66\u5934\u76f8\u9047\u5230\u8f66\u5c3e\u79bb\u5f00\u517112\u79d2\uff1b\u82e5\u540c\u5411\u884c\u9a76\uff0c\u4ece\u7532\u8f66\u5934\u9047\u5230\u4e59\u8f66\u5c3e\uff0c\u5230\u7532\u8f66\u5c3e\u8d85\u8fc7\u4e59\u8f66\u5934\u970060\u79d2\uff0c\u8f66\u7684\u901f\u5ea6\u4e0d\u53d8\uff0c\u6c42\u7532\u3001\u4e59\u4e24\u8f66\u7684\u901f\u5ea6\u3002
\u4e8c\u8f66\u7684\u901f\u5ea6\u548c\u662f\uff1a[180*2]/12=30\u7c73/\u79d2
\u8bbe\u7532\u901f\u5ea6\u662fX\uff0c\u5219\u4e59\u7684\u901f\u5ea6\u662f30-X
180*2=60[X-\uff0830-X\uff09]
X=18
\u5373\u7532\u8f66\u7684\u901f\u5ea6\u662f18\u7c73/\u79d2\uff0c\u4e59\u8f66\u7684\u901f\u5ea6\u662f\uff1a12\u7c73/\u79d2
7.\u4e24\u6839\u540c\u6837\u957f\u7684\u8721\u70db,\u7c97\u7684\u53ef\u71c33\u5c0f\u65f6,\u7ec6\u7684\u53ef\u71c38/3\u5c0f\u65f6,\u505c\u7535\u65f6,\u540c\u65f6\u70b9\u71c3\u4e24\u6839\u8721\u70db,\u6765\u7535\u65f6\u540c\u65f6\u5439\u706d,\u7c97\u7684\u662f\u7ec6\u7684\u957f\u5ea6\u76842\u500d,\u6c42\u505c\u7535\u7684\u65f6\u95f4.
\u8bbe\u505c\u7535\u7684\u65f6\u95f4\u662fX
\u8bbe\u603b\u957f\u662f\u5355\u4f4d1\uff0c\u90a3\u4e48\u7c97\u7684\u4e00\u65f6\u95f4\u71c31/3\uff0c\u7ec6\u7684\u662f3/8
1-X/3=2[1-3X/8]
X=2\u30024
\u5373\u505c\u7535\u4e862\u30024\u5c0f\u65f6\u3002
1.\u67d0\u5c0f\u7ec4\u8ba1\u5212\u505a\u4e00\u6279\u201c\u4e2d\u56fd\u7ed3\u201d\uff0c\u5982\u679c\u6bcf\u4eba\u505a5\u4e2a\uff0c\u90a3\u4e48\u6bd4\u8ba1\u5212\u591a\u4e869\u4e2a\uff1b\u5982\u679c\u6bcf\u4eba\u505a4\u4e2a\uff0c\u90a3\u4e48\u6bd4\u8ba1\u5212\u5c11\u4e8615\u4e2a\uff0c\u5c0f\u7ec4\u6210\u5458\u5171\u6709\u591a\u5c11\u540d\uff1f\u4ed6\u4eec\u8ba1\u5212\u505a\u591a\u5c11\u4e2a\u201c\u4e2d\u56fd\u7ed3\u201d\uff1f
\u8bbe\u5c0f\u7ec4\u6210\u5458\u6709x\u540d
5x=4x\uff0b15+9
5x-4x=15\uff0b9
8.\u67d0\u4e2d\u5b66\u7ec4\u7ec7\u521d\u4e00\u5b66\u751f\u8fdb\u884c\u6625\u6e38\uff0c\u539f\u8ba1\u5212\u79df\u752845\u5ea7\u5ba2\u8f66\u82e5\u5e72\u8f86\uff0c\u4f46\u670915\u4eba\u6ca1\u6709\u5ea7\u4f4d\uff1b\u82e5\u79df\u7528\u540c\u6837\u6570\u91cf\u768460\u5ea7\u5ba2\u8f66\uff0c\u5219\u591a\u51fa\u4e00\u8f86\u8f66\uff0c\u4e14\u5176\u4f59\u5ba2\u8f66\u6070\u597d\u5750\u6ee1\u3002\u8bd5\u95ee
\uff081\uff09 \u521d\u4e00\u5e74\u7ea7\u4eba\u6570\u662f\u591a\u5c11\uff1f\u539f\u8ba1\u5212\u79df\u752845\u5ea7\u5ba2\u8f66\u591a\u5c11\u8f86\uff1f
\u89e3\uff1a\u79df\u752845\u5ea7\u5ba2\u8f66x\u8f86\uff0c\u79df\u752860\u5ea7\u5ba2\u8f66(x-1)\u8f86,
45x+15=60(x-1)
\u89e3\u4e4b\u5f97\uff1ax=5 45x+15=240(\u4eba\uff09
\u7b54\uff1a\u521d\u4e00\u5e74\u7ea7\u5b66\u751f\u4eba\u6570\u662f240\u4eba\uff0c
\u8ba1\u5212\u79df\u752845\u5ea7\u5ba2\u8f66\u4e3a5\u8f86
9.\u5c06\u4e00\u6279\u4f1a\u8ba1\u62a5\u8868\u8f93\u5165\u7535\u8111\uff0c\u7532\u5355\u72ec\u505a\u970020h\u5b8c\u6210\uff0c\u4e59\u5355\u72ec\u505a\u970012h\u5b8c\u6210\uff0e\u73b0\u5728\u5148\u7531\u7532\u5355\u72ec\u505a4h\uff0c\u5269\u4e0b\u7684\u90e8\u5206\u7531\u7532\uff0c\u4e59\u5408\u4f5c\u5b8c\u6210\uff0c\u7532\uff0c\u4e59\u4e24\u4eba\u5408\u4f5c\u7684\u65f6\u95f4\u662f\u591a\u5c11\uff1f
\u89e3;\u8bbe\u4e3aXH
1/5+1/20X+1/12X=1
8/60X=4/5
X=6
\u7532\uff0c\u4e59\u4e24\u4eba\u5408\u4f5c\u7684\u65f6\u95f4\u662f6H.
10.\u7532\u4e59\u4e19\u4e09\u4e2a\u6570\u7684\u548c\u662f53\uff0c\u4ee5\u77e5\u7532\u6570\u548c\u4e59\u6570\u7684\u6bd4\u662f4\uff1a3,\u4e19\u6570\u6bd4\u4e59\u6570\u5c112\uff0c\u4e59\u6570\u662f\uff08\uff09\uff0c\u4e19\u6570\u662f\uff08\uff09
\u8bbe\u7532\u6570\u4e3a4X.\u5219\u4e59\u4e3a3X.\u4e19\u4e3a3X-2.
4X+3X+3X-2=53
10X=53+2
10X=55
X=5.5
3X=16.5
3X-2=16.5-2=14.5
\u4e59\u4e3a16.5,\u4e19\u4e3a14.5
11.\u7c97\u8721\u70db\u548c\u7ec6\u8721\u70db\u7684\u957f\u77ed\u4e00\u6837\uff0c\u7c97\u8721\u70db\u53ef\u71c35\u5c0f\u65f6\uff0c\u7ec6\u8721\u70db\u53ef\u71c34\u5c0f\u65f6\uff0c\u4e00\u6b21\u505c\u7535\u540e\u540c\u65f6\u70b9\u71c3\u8fd9\u4e24\u53ea\u8721\u70db\uff0c\u6765\u7535\u540e\u540c\u65f6\u7184\u706d\uff0c\u7ed3\u679c\u53d1\u73b0\u7c97\u8721\u70db\u7684\u957f\u662f\u7ec6\u8721\u70db\u957f\u76844\u500d\uff0c\u6c42\u505c\u7535\u591a\u957f\u65f6\u95f4\uff1f
\u8bbe\u505c\u7535x\u5c0f\u65f6. \u7c97\u8721\u70db\u6bcf\u5c0f\u65f6\u71c3\u70e71/5,\u7ec6\u8721\u70db\u662f1/4
1-1/5X=4(1-1/4)
1-1/5X=4-X
-1/5+X=4-1
4/5X=3
X=15/4
12.\u4e00\u4e2a\u4e09\u4f4d\u6570,\u767e\u4f4d\u4e0a\u7684\u6570\u5b57\u6bd4\u5341\u4f4d\u4e0a\u7684\u6570\u5b57\u59271,\u4e2a\u4f4d\u4e0a\u7684\u6570\u5b57\u6bd4\u5341\u4f4d\u4e0a\u7684\u6570\u5b57\u76843\u500d\u5c112,\u82e5\u5c06\u4e09\u4e2a\u6570\u5b57\u987a\u5e8f\u98a0\u5012\u540e,\u6240\u5f97\u7684\u4e09\u4f4d\u6570\u4e0e\u539f\u4e09\u4f4d\u6570\u7684\u548c\u662f1171,\u6c42\u8fd9\u4e2a\u4e09\u4f4d\u6570.
\u8bbe\u5341\u4f4d\u6570\u4e3ax
\u5219 100\u00d7\uff08x+1)+10x+3x-2+100*(x+1)+10x+x+1=1171
\u5316\u7b80\u5f97
424x=1272
\u6240\u4ee5:x=3
\u5219\u8fd9\u4e2a\u4e09\u4f4d\u6570\u4e3a437
13.\u4e00\u5e74\u7ea7\u4e09\u4e2a\u73ed\u4e3a\u5e0c\u671b\u5c0f\u5b66\u6350\u8d60\u56fe\u4e66,\u4e00\u73ed\u5a1f\u4e86152\u518c,\u4e8c\u73ed\u6350\u4e66\u6570\u662f\u4e09\u4e2a\u73ed\u7ea7\u7684\u5e73\u5747\u6570,\u4e09\u73ed\u6350\u4e66\u6570\u662f\u5e74\u7ea7\u6350\u4e66\u603b\u6570\u768440%,\u4e09\u4e2a\u73ed\u5171\u6350\u4e86\u591a\u5c11\u56fe\u4e66?
\u89e3\uff1a\u8bbe\u2475\u73ed\u6350x\u518c
3x=152+x+3xX40%
3x=152+x+6/5x
3x-x-6/5x=152
4/5x=152
x=190\u2026\u2475\u73ed
190X3=570(\u672c\uff09
14.a b \u4e24\u5730\u76f8\u8ddd31\u5343\u7c73,\u7532\u4ecea\u5730\u9a91\u81ea\u884c\u8f66\u53bbb\u5730 \u4e00\u5c0f\u65f6\u540e\u4e59\u9a91\u6469\u6258\u8f66\u4e5f\u4ecea\u5730\u53bbb\u5730 \u5df2\u77e5\u7532\u6bcf\u5c0f\u65f6\u884c12\u5343\u7c73 \u4e59\u6bcf\u5c0f\u65f6\u884c28\u5343\u7c73 \u95ee\u4e59\u51fa\u53d1\u540e\u591a\u5c11\u5c0f\u65f6\u8ffd\u4e0a\u7532
\u8bbe\u4e59\u51fa\u53d1x\u5c0f\u65f6\u540e\u8ffd\u4e0a\u7532\uff0c\u5217\u65b9\u7a0b
12\uff08X+1\uff09=28X X=0.75\u5c0f\u65f6,\u537345\u5206\u949f
15\u3001\u4e00\u8258\u8d27\u8239\u7684\u8f7d\u91cd\u91cf\u662f400t,\u5bb9\u79ef\u662f860m^3.\u73b0\u5728\u8981\u88c5\u751f\u94c1\u548c\u68c9\u82b1\u4e24\u79cd\u8d27\u7269,\u751f\u94c1\u6bcf\u5428\u4f53\u79ef\u662f0.3m^3,\u68c9\u82b1\u6bcf\u5428\u4f53\u79ef\u662f4m^3.\u751f\u94c1\u548c\u68c9\u82b1\u5404\u88c5\u591a\u5c11\u5428,\u624d\u80fd\u5145\u5206\u5229\u7528\u8fd9\u8258\u8239\u7684\u8f7d\u91cd\u91cf\u548c\u5bb9\u79ef?
\u8bbe\u94c1x\u5428\uff0c\u68c9\u82b1\u4e3a400\uff0dx\u5428
0.3x+4*(400-x)=860
x=200t
\u7b54\u6848\u4e3a\u94c1\u548c\u68c9\u82b1\u5404200\u5428
16\u3001\u67d0\u7535\u8111\u516c\u53f8\u9500\u552eA\u3001B\u4e24\u79cd\u54c1\u724c\u7535\u8111\uff0c\u524d\u5e74\u5171\u5356\u51fa2200\u53f0\uff0c\u53bb\u5e74A\u79cd\u7535\u8111\u5356\u51fa\u7684\u6570\u91cf\u6bd4\u524d\u5e74\u591a6%\uff0cB\u79cd\u7535\u8111\u5356\u51fa\u7684\u6570\u91cf\u6bd4\u524d\u5e74\u51cf\u5c115%\uff0c\u4e24\u79cd\u7535\u8111\u7684\u603b\u9500\u91cf\u589e\u52a0\u4e86110\u53f0\u3002\u524d\u5e74A\u3001B\u4e24\u79cd\u7535\u8111\u5404\u5356\u4e86\u591a\u5c11\u53f0\uff1f
\u8bbe\u524d\u5e74A\u7535\u8111\u5356\u51fa\u4e86x\u53f0\uff0cB\u7535\u8111\u5356\u51fa\u4e862200\uff0dx\u53f0
\u53bb\u5e74A\u7535\u8111\u4e3a1.06x,B\u7535\u8111\u4e3a0.95\uff082200\uff0dx\uff09
1.06x+0.95*(2200-x)=2200+110
x=2000
\u5219A\u7535\u81112000\u53f0\uff0cB\u7535\u8111200\u53f0
17.\u5730\u7403\u4e0a\u9762\u9762\u79ef\u7ea6\u7b49\u4e8e\u9646\u5730\u9762\u79ef\u768429\u5206\u4e4b71\u500d\uff0c\u5730\u7403\u7684\u8868\u9762\u79ef\u7ea6\u7b49\u4e8e5.1\u4ebf\u5e73\u65b9\u516c\u91cc\uff0c\u6c42\u5730\u7403\u4e0a\u9646\u5730\u9762\u79ef\u662f\u591a\u5c11\uff1f\uff08\u7cbe\u786e\u52300.1\u4ebf\u5e73\u65b9\u516c\u91cc\uff09
\u8bbe\u9646\u5730\u7684\u9762\u79ef\u662fX
X+71/29X=5.1
X=1.479
\u5373\u9646\u5730\u7684\u9762\u79ef\u662f\uff1a1.5\u4ebf\u5e73\u65b9\u516c\u91cc\u3002
18. \u5185\u5f84\u4e3a90\u6beb\u7c73\u7684\u5706\u67f1\u5f62\u957f\u73bb\u7483\u676f\uff08\u5df2\u88c5\u6ee1\u6c34\uff09\u5411\u4e00\u4e2a\u5730\u9762\u76f4\u5f84\u4e3a131*131\u5e73\u65b9\u6beb\u7c73\uff0c\u5185\u9ad8\u4e3a81\u6beb\u7c73\u7684\u957f\u65b9\u5f62\u94c1\u76d2\u5230\u6c34\uff0c\u5f53\u94c1\u76d2\u88c5\u6ee1\u6c34\u65f6\uff0c\u73bb\u7483\u676f\u4e2d\u6c34\u7684\u9ad8\u5ea6\u4e0b\u964d\u591a\u5c11\uff1f
\u8bbe\u4e0b\u964d\u9ad8\u5ea6\u662fX
\u4e0b\u964d\u7684\u6c34\u7684\u4f53\u79ef\u7b49\u4e8e\u94c1\u76d2\u4e2d\u7684\u6c34\u7684\u4f53\u79ef\u3002
3.14*45*45*X=131*131*81
X=218.6
\u6c34\u9762\u4e0b\u964d218.6\u6beb\u7c73\u3002
19.\u5185\u5f84\u4e3a120\u6beb\u7c73\u7684\u5706\u67f1\u5f62\u73bb\u7483\u676f\uff0c\u548c\u5185\u5f84\u4e3a300\u6beb\u7c73\u3001\u5185\u9ad8\u4e3a32\u6beb\u7c73\u7684\u5706\u67f1\u5f62\u73bb\u7483\u76d8\u53ef\u4ee5\u76db\u540c\u6837\u591a\u7684\u6c34\uff0c\u6c42\u73bb\u7483\u676f\u7684\u5185\u9ad8\uff1f
\u5185\u5f84\u4e3a120\u6beb\u7c73\u7684\u5706\u67f1\u5f62\u73bb\u7483\u676f,\u548c\u5185\u5f84\u4e3a300\u6beb\u7c73,\u5185\u9ad8\u4e3a32\u6beb\u7c73\u7684\u5706\u67f1\u5f62\u73bb\u7483\u76d8\u53ef\u4ee5\u76db\u540c\u6837\u591a\u7684\u6c34
\u6240\u4ee5\u4e24\u4e2a\u5bb9\u5668\u4f53\u79ef\u76f8\u7b49
\u5185\u5f84\u4e3a300\u6beb\u7c73,\u5185\u9ad8\u4e3a32\u6beb\u7c73\u7684\u5706\u67f1\u5f62\u73bb\u7483\u76d8\u4f53\u79ef
V=\u03c0(300/2)^2*32=720000\u03c0
\u8bbe\u73bb\u7483\u676f\u7684\u5185\u9ad8\u4e3aX
\u90a3\u4e48
X*\u03c0(120/2)^2=720000\u03c0
X=200\u6beb\u7c73
20.\u5c06\u5185\u5f84\u4e3a200\u6beb\u7c73\u7684\u5706\u67f1\u5f62\u6c34\u6876\u4e2d\u7684\u6ee1\u6876\u6c34\u5012\u5165\u4e00\u4e2a\u5185\u90e8\u957f\u3001\u5bbd\u3001\u9ad8\u5206\u522b\u4e3a300\u6beb\u7c73\u3001300\u6beb\u7c73\u300180\u6beb\u7c73\u7684\u957f\u65b9\u5f62\u94c1\u76d2\uff0c\u6b63\u597d\u5012\u6ee1\u3002\u6c42\u5706\u67f1\u5f62\u6c34\u6876\u7684\u6c34\u9ad8\uff1f\uff08\u7cbe\u786e\u5230\u6beb\u7c73\u3002\u6d3e\u53d63.14\uff09
\u8bbe\u6c34\u6876\u7684\u9ad8\u662fX
3.14*100*100*X=300*300*80
X=229
\u5373\u6c34\u6876\u7684\u9ad8\u662f229\u6beb\u7c73
21.\u67d0\u5730\u4e0b\u7ba1\u9053\u7531\u7532\u5de5\u7a0b\u961f\u5355\u72ec\u94fa\u8bbe\u9700\u898112\u5929\uff0c\u7531\u4e59\u5de5\u7a0b\u961f\u5355\u72ec\u4fee\u8bbe\u9700\u898118\u5929\u3002\u5982\u679c\u6709\u7531\u4e24\u4e2a\u5de5\u7a0b\u961f\u4ece\u4e24\u7aef\u540c\u65f6\u60f3\u8c61\u65bd\u5de5\uff0c\u8981\u591a\u5c11\u5929\u53ef\u4ee5\u94fa\u597d\uff1f
\u89e3:\u8bbeX\u5929\u53ef\u4ee5\u94fa\u597d
1/18X+1/12X=1
2/36X+3/36X=1
5/36X=1
X=1\u9664\u4ee55/36
X=1\u4e58\u4ee536/5
X=36/5
\u5373\u898136/5\u5929
7 \u67d0\u6570\u76843\u500d\u51cf2\u7b49\u4e8e\u67d0\u6570\u4e0e4\u7684\u548c\uff0c\u6c42\u67d0\u6570\uff0e
\u89e3\u6cd51\uff1a(4+2)\u00f7(3-1)=3\uff0e
\u7b54\uff1a\u67d0\u6570\u4e3a3\uff0e
\u89e3\u6cd52\uff1a\u8bbe\u67d0\u6570\u4e3ax\uff0c\u5219\u67093x-2=x+4\uff0e
\u89e3\u4e4b\uff0c\u5f97x=3\uff0e
\u7b54\uff1a\u67d0\u6570\u4e3a3\uff0e
2\u3001 \u65b9\u7a0b\uff08x+1\uff092\uff0d2\uff08x\uff0d1\uff092=6x\uff0d5\u7684\u4e00\u822c\u5f62\u5f0f\u662f \u3002
3\u3001 \u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2+mx+3=0\u7684\u4e00\u4e2a\u6839\u662f1\uff0c\u5219m\u7684\u503c\u4e3a \u3002
4\u3001 \u5df2\u77e5\u4e8c\u6b21\u4e09\u9879\u5f0fx2+2mx+4\uff0dm2\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u5219m= \u3002
5\u3001 \u5df2\u77e5 +\uff08b\uff0d1\uff092=0\uff0c\u5f53k\u4e3a \u65f6\uff0c\u65b9\u7a0bkx2+ax+b=0\u6709\u4e24\u4e2a\u4e0d\u7b49\u7684\u5b9e\u6570\u6839\u3002
6\u3001 \u5173\u4e8ex\u7684\u65b9\u7a0bmx2\uff0d2x+1=0\u53ea\u6709\u4e00\u4e2a\u5b9e\u6570\u6839\uff0c\u5219m= \u3002
7\u3001 \u8bf7\u5199\u51fa\u4e00\u4e2a\u6839\u4e3a1\uff0c\u53e6\u4e00\u4e2a\u6839\u6ee1\u8db3\uff0d1<x<1\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u662f \u3002
8\u3001 \u5173\u4e8ex\u7684\u65b9\u7a0bx2\uff0d\uff082m2+m\uff0d6\uff09x\uff0dm=0\u4e24\u6839\u4e92\u4e3a\u76f8\u53cd\u6570\uff0c\u5219m= \u3002
9\u3001 \u5df2\u77e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff08a\uff0d1\uff09x2+x+a2\uff0d1=0\u7684\u4e24\u6839\u4e3ax1,x2\uff0c\u4e14x1+x2= \uff0c\u5219x1,x2= \u3002
10\u67d0\u6728\u6750\u573a\u539f\u6709\u6728\u6750\u5b58\u91cf\u4e3aa\u7acb\u65b9\u7c73\uff0c\u5df2\u77e5\u6728\u6750\u6bcf\u5e74\u4ee520%\u7684\u589e\u957f\u7387\u751f\u957f\uff0c\u5230\u6bcf\u5e74\u51ac\u5929\u780d\u4f10\u7684\u6728\u6750\u91cf\u4e3ax\u7acb\u65b9\u7c73\uff0c\u5219\u7ecf\u8fc7\u4e00\u5e74\u540e\u6728\u6750\u5b58\u91cf\u4e3a \u7acb\u65b9\u7c73\uff0c\u7ecf\u8fc7\u4e24\u5e74\u540e\uff0c\u6728\u6750\u573a\u6728\u6750\u5b58\u91cf\u4e3ab\u7acb\u65b9\u7c73\uff0c\u8bd5\u5199\u51faa,b,m\u4e4b\u95f4\u7684\u5173\u7cfb\u5f0f\uff1a \u3002
\u4e8c\u3001\u9009\u62e9\u9898\uff1a\uff083\u2019\u00d78\uff1d24\u2019\uff09
11\u3001\u5173\u4e8ex\u7684\u65b9\u7a0b\uff08m+1\uff09x2+2mx\uff0d3=0\u662f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff0c\u5219m\u7684\u53d6\u503c\u662f\uff08 \uff09
A\u3001\u4efb\u610f\u5b9e\u6570 B\u3001m\u22601 C\u3001m\u2260\uff0d1 D\u3001m>\uff0d1
12\u3001\u4e0b\u9762\u662f\u67d0\u540c\u5b66\u5728\u4e00\u6b21\u6570\u5b66\u6d4b\u9a8c\u4e2d\u89e3\u7b54\u7684\u586b\u7a7a\u9898\uff0c\u5176\u4e2d\u7b54\u5bf9\u7684\u662f\uff08 \uff09
A\u3001 \u82e5x2=4\uff0c\u5219x=2 B\u3001\u82e53x2=bx\uff0c\u5219x=2
C\u3001 x2+x-k=0\u7684\u4e00\u4e2a\u6839\u662f1\uff0c\u5219k=2
D\u3001\u82e5\u5206\u5f0f \u7684\u503c\u4e3a\u96f6\uff0c\u5219x=2
13\u3001\u65b9\u7a0b\uff08x+3\uff09\uff08x\uff0d3\uff09=4\u7684\u6839\u7684\u60c5\u51b5\u662f\uff08 \uff09
A\u3001\u65e0\u5b9e\u6570\u6839 B\u3001\u6709\u4e24\u4e2a\u4e0d\u76f8\u7b49\u7684\u5b9e\u6570\u6839 C\u3001\u4e24\u6839\u4e92\u4e3a\u5012\u6570 D\u3001\u4e24\u6839\u4e92\u4e3a\u76f8\u53cd\u6570
14\u3001\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2\uff0d3x\uff0d1=0\u4e0ex2+4x+3=0\u7684\u6240\u6709\u5b9e\u6570\u6839\u7684\u548c\u7b49\u4e8e\uff08 \uff09\u3002
A\u3001\uff0d1 B\u3001\uff0d4 C\u30014 D\u30013
15\u3001\u5df2\u77e5\u65b9\u7a0b\uff08 \uff092\uff0d5\uff08 \uff09+6=0\uff0c\u8bbe =y\u5219\u53ef\u53d8\u4e3a\uff08 \uff09\u3002
A\u3001y2+5y+6=0 B\u3001y2\uff0d5y+6=0 C\u3001y2+5y\uff0d6=0 D\u3001y2\uff0d5y\uff0d6=0
16\u3001\u67d0\u8d85\u5e02\u4e00\u6708\u4efd\u7684\u8425\u4e1a\u989d\u4e3a100\u4e07\u5143\uff0c\u7b2c\u4e00\u5b63\u5ea6\u7684\u8425\u4e1a\u989d\u5171800\u4e07\u5143\uff0c\u5982\u679c\u5e73\u5747\u6bcf\u6708\u589e\u957f\u7387\u4e3ax\uff0c\u5219\u6240\u5217\u65b9\u7a0b\u5e94\u4e3a\uff08 \uff09
A\u3001100(1+x)2=800 B\u3001100+100\u00d72x=800 C\u3001100+100\u00d73x=800 D\u3001100[1+(1+x)+(1+x)2]=800
17\u3001\u5df2\u77e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b2x2-3x+3=0\uff0c\u5219\uff08 \uff09
A\u3001\u4e24\u6839\u4e4b\u548c\u4e3a\uff0d1.5 B\u3001\u4e24\u6839\u4e4b\u5dee\u4e3a\uff0d1.5 C\u3001\u4e24\u6839\u4e4b\u79ef\u4e3a\uff0d1.5 D\u3001\u65e0\u5b9e\u6570\u6839
18\u3001\u5df2\u77e5a2+a2\uff0d1=0\uff0cb2+b2\uff0d1=0\u4e14a\u2260b\uff0c\u5219ab+a+b=\uff08 \uff09
A\u30012 B\u3001\uff0d2 C\u3001\uff0d1 D\u30010
\u4e09\u3001\u89e3\u4e0b\u5217\u65b9\u7a0b\uff1a\uff085\u2019\u00d75\uff1d25\u2019\uff09
19\u3001\uff08x\uff0d2\uff092\uff0d3\uff1d0 20\u30012x2\uff0d5x\uff0b1\uff1d0\uff08\u914d\u65b9\u6cd5\uff09
21\u3001x(8\uff0bx)\uff1d16 22\u3001
23\u3001\uff082x\uff0d3\uff092\uff0d2\uff082x\uff0d3\uff09\uff0d3\uff1d0
\u56db\u3001\u89e3\u7b54\u9898\u3002
24\u3001\u5df2\u77e5\u4e09\u89d2\u5f62\u7684\u4e24\u8fb9\u957f\u5206\u522b\u662f3\u548c8\uff0c\u7b2c\u4e09\u8fb9\u7684\u6570\u503c\u662f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2\uff0d17x\uff0b66\uff1d0\u7684\u6839\u3002\u6c42\u6b64\u4e09\u89d2\u5f62\u7684\u5468\u957f\u3002\uff086\u2019\uff09
25\u3001\u67d0\u706f\u5177\u5e97\u91c7\u8d2d\u4e86\u4e00\u6279\u67d0\u79cd\u578b\u53f7\u7684\u8282\u80fd\u706f\uff0c\u5171\u7528\u53bb400\u5143\uff0c\u5728\u642c\u8fd0\u8fc7\u7a0b\u4e2d\u4e0d\u614e\u6253\u788e\u4e865\u76cf\uff0c\u8be5\u5e97\u628a\u4f59\u4e0b\u7684\u706f\u6bcf\u76cf\u52a0\u4ef74\u5143\u5168\u90e8\u552e\u51fa\uff0c\u7136\u540e\u7528\u6240\u5f97\u7684\u94b1\u53c8\u91c7\u8d2d\u4e86\u4e00\u6279\u8fd9\u79cd\u8282\u80fd\u706f\uff0c\u4e14\u8fdb\u4ef7\u4e0e\u4e0a\u6b21\u76f8\u540c\uff0c\u4f46\u8d2d\u4e70\u7684\u6570\u91cf\u6bd4\u4e0a\u6b21\u591a\u4e869\u76cf\uff0c\u6c42\u6bcf\u76cf\u706f\u7684\u8fdb\u4ef7\u3002\uff086\u2019\uff09
26\u3001\u5728Rt\u25b3ABC\u4e2d\uff0c\u2220C\uff1d90\u00b0\uff0c\u659c\u8fb9C\uff1d5\uff0c\u4e24\u76f4\u89d2\u8fb9\u7684\u957fa\uff0cb\u662f\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2\uff0dmx\uff0b2m\uff0d2\uff1d0\u7684\u4e24\u6839\uff0c\uff081\uff09\u6c42m\u7684\u503c\uff082\uff09\u6c42\u25b3ABC\u7684\u9762\u79ef\uff083\uff09\u6c42\u8f83\u5c0f\u9510\u89d2\u7684\u6b63\u5f26\u503c\u3002
\u03b1\u3001\u03b2\u662f\u65b9\u7a0b \u7684\u4e24\u6839\uff0c\u5219\u03b1+\u03b2=__________\uff0c\u03b1\u03b2=__________\uff0c __________\uff0c __________\u3002
2\uff0e\u5982\u679c3\u662f\u65b9\u7a0b \u7684\u4e00\u4e2a\u6839\uff0c\u5219\u53e6\u4e00\u6839\u4e3a__________\uff0ca=__________\u3002
3\uff0e\u65b9\u7a0b \u4e24\u6839\u4e3a-3\u548c4\uff0c\u5219ab=__________\u3002
4\uff0e\u4ee5 \u548c \u4e3a\u6839\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u662f__________\u3002
5\uff0e\u82e5\u77e9\u5f62\u7684\u957f\u548c\u5bbd\u662f\u65b9\u7a0b \u7684\u4e24\u6839\uff0c\u5219\u77e9\u5f62\u7684\u5468\u957f\u4e3a__________\uff0c\u9762\u79ef\u4e3a__________\u3002
6\uff0e\u65b9\u7a0b \u7684\u6839\u7684\u5012\u6570\u548c\u4e3a7\uff0c\u5219m=__________\u3002
\u4e8c\u3001\u9009\u62e9\u9898
1\uff0e\u6ee1\u8db3\u4e24\u5b9e\u6839\u548c\u4e3a4\u7684\u65b9\u7a0b\u662f\uff08 \uff09\u3002
\uff08A\uff09 \uff08B\uff09
\uff08C\uff09 \uff08D\uff09
2\uff0e\u82e5k\uff1e1\uff0c\u5219\u5173\u4e8ex\u7684\u65b9\u7a0b \u7684\u6839\u7684\u60c5\u51b5\u662f\uff08 \uff09\u3002
\uff08A\uff09\u6709\u4e00\u6b63\u6839\u548c\u4e00\u8d1f\u6839 \uff08B\uff09\u6709\u4e24\u4e2a\u6b63\u6839
\uff08C\uff09\u6709\u4e24\u4e2a\u8d1f\u6839 \uff08D\uff09\u6ca1\u6709\u5b9e\u6570\u6839
3\uff0e\u5df2\u77e5\u4e24\u6570\u548c\u4e3a-6\uff0c\u4e24\u6570\u79ef\u4e3a2\uff0c\u5219\u8fd9\u4e24\u6570\u4e3a\uff08 \uff09\u3002
\uff08A\uff09 \uff0c \uff08B\uff09 \uff0c
\uff08C\uff09 \uff0c \uff08D\uff09 \uff0c
4\uff0e\u82e5\u65b9\u7a0b \u4e24\u6839\u4e4b\u5dee\u7684\u7edd\u5bf9\u503c\u4e3a8\uff0c\u5219p\u7684\u503c\u4e3a\uff08 \uff09\u3002
\uff08A\uff092 \uff08B\uff09-2
\uff08C\uff09\u00b12 \uff08D\uff09
\u4e09\u3001\u89e3\u7b54\u9898
1\uff0e\u5df2\u77e5 \u3001 \u662f\u65b9\u7a0b \u7684\u4e24\u4e2a\u5b9e\u6570\u6839\uff0c\u4e14 \uff0c\u6c42k\u7684\u503c\u3002
2\uff0e\u4e0d\u89e3\u65b9\u7a0b\uff0c\u6c42\u4f5c\u4e00\u4e2a\u65b0\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff0c\u4f7f\u5b83\u7684\u4e24\u6839\u5206\u522b\u4e3a\u65b9\u7a0b \u4e24\u6839\u7684\u5e73\u65b9\u3002
3\uff0e\u5982\u679c\u5173\u4e8ex\u7684\u65b9\u7a0b \u7684\u4e24\u4e2a\u5b9e\u6570\u6839\u90fd\u5c0f\u4e8e1\uff0c\u6c42m\u7684\u53d6\u503c\u8303\u56f4\u3002
4\uff0em\u4e3a\u4f55\u503c\u65f6\uff0c\u65b9\u7a0b
\uff081\uff09\u4e24\u6839\u4e92\u4e3a\u5012\u6570\uff1b
\uff082\uff09\u6709\u4e24\u4e2a\u6b63\u6839\uff1b
\uff083\uff09\u6709\u4e00\u4e2a\u6b63\u6839\u4e00\u4e2a\u8d1f\u6839\u3002
\u89e3\u65b9\u7a0b\uff081\uff09(3x+1)2=7 \uff082\uff099x2-24x+16=11
\u7528\u914d\u65b9\u6cd5\u89e3\u65b9\u7a0b 3x2-4x-2=0
\u7528\u516c\u5f0f\u6cd5\u89e3\u65b9\u7a0b 2x2-8x=-5
\u7528\u56e0\u5f0f\u5206\u89e3\u6cd5\u89e3\u4e0b\u5217\u65b9\u7a0b\uff1a
(1) (x+3)(x-6)=-8 (2) 2x2+3x=0
(3) 6x2+5x-50=0 (\u9009\u5b66\uff09 (4)x2-2( + )x+4=0 \uff08\u9009\u5b66\uff09
\u7528\u9002\u5f53\u7684\u65b9\u6cd5\u89e3\u4e0b\u5217\u65b9\u7a0b\u3002(\u9009\u5b66\uff09
\uff081\uff094(x+2)2-9(x-3)2=0 \uff082\uff09x2+(2-)x+ -3=0
\uff083\uff09 x2-2 x=- \uff084\uff094x2-4mx-10x+m2+5m+6=0
\u6c42\u65b9\u7a0b3(x+1)2+5(x+1)(x-4)+2(x-4)2=0\u7684\u4e8c\u6839\u3002
\u7528\u914d\u65b9\u6cd5\u89e3\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2+px+q=0
\u4e00\uff09\u7528\u9002\u5f53\u7684\u65b9\u6cd5\u89e3\u4e0b\u5217\u65b9\u7a0b\uff1a
1. 6x2-x-2=0 2. (x+5)(x-5)=3
3. x2-x=0 4. x2-4x+4=0
5. 3x2+1=2x 6. (2x+3)2+5(2x+3)-6=0
\uff08\u4e8c\uff09\u89e3\u4e0b\u5217\u5173\u4e8ex\u7684\u65b9\u7a0b
1.x2-ax+-b2=0 2. x2-( + )ax+ a2=0
\u9009\u62e9\u9898
1\uff0e\u65b9\u7a0bx(x-5)=5(x-5)\u7684\u6839\u662f\uff08 \uff09
A\u3001x=5 B\u3001x=-5 C\u3001x1=x2=5 D\u3001x1=x2=-5
2\uff0e\u591a\u9879\u5f0fa2+4a-10\u7684\u503c\u7b49\u4e8e11\uff0c\u5219a\u7684\u503c\u4e3a\uff08 \uff09\u3002
A\u30013\u62167 B\u3001-3\u62167 C\u30013\u6216-7 D\u3001-3\u6216-7
3\uff0e\u82e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bax2+bx+c=0\u4e2d\u7684\u4e8c\u6b21\u9879\u7cfb\u6570\uff0c\u4e00\u6b21\u9879\u7cfb\u6570\u548c\u5e38\u6570\u9879\u4e4b\u548c\u7b49\u4e8e\u96f6\uff0c\u90a3\u4e48\u65b9\u7a0b\u5fc5\u6709\u4e00\u4e2a
\u6839\u662f\uff08 \uff09\u3002
A\u30010 B\u30011 C\u3001-1 D\u3001\u00b11
4\uff0e \u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bax2+bx+c=0\u6709\u4e00\u4e2a\u6839\u662f\u96f6\u7684\u6761\u4ef6\u4e3a\uff08 \uff09\u3002
A\u3001b\u22600\u4e14c=0 B\u3001b=0\u4e14c\u22600
C\u3001b=0\u4e14c=0 D\u3001c=0
5\uff0e \u65b9\u7a0bx2-3x=10\u7684\u4e24\u4e2a\u6839\u662f\uff08 \uff09\u3002
A\u3001-2\uff0c5 B\u30012\uff0c-5 C\u30012\uff0c5 D\u3001-2\uff0c-5
6\uff0e \u65b9\u7a0bx2-3x+3=0\u7684\u89e3\u662f\uff08 \uff09\u3002
A\u3001 B\u3001 C\u3001 D\u3001\u65e0\u5b9e\u6839
7\uff0e \u65b9\u7a0b2x2-0.15=0\u7684\u89e3\u662f\uff08 \uff09\u3002
A\u3001x= B\u3001x=-
C\u3001x1=0.27, x2=-0.27 D\u3001x1=, x2=-
8\uff0e \u65b9\u7a0bx2-x-4=0\u5de6\u8fb9\u914d\u6210\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\u540e\uff0c\u6240\u5f97\u7684\u65b9\u7a0b\u662f\uff08 \uff09\u3002
A\u3001(x-)2= B\u3001(x- )2=-
C\u3001(x- )2= D\u3001\u4ee5\u4e0a\u7b54\u6848\u90fd\u4e0d\u5bf9
9\uff0e \u5df2\u77e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2-2x-m=0\uff0c\u7528\u914d\u65b9\u6cd5\u89e3\u8be5\u65b9\u7a0b\u914d\u65b9\u540e\u7684\u65b9\u7a0b\u662f\uff08 \uff09\u3002
A\u3001(x-1)2=m2+1 B\u3001(x-1)2=m-1 C\u3001(x-1)2=1-m D\u3001(x-1)2=m+1
\u7528\u76f4\u63a5\u5f00\u5e73\u65b9\u6cd5\u89e3\u65b9\u7a0b(x-3)2=8\u5f97\u65b9\u7a0b\u7684\u6839\u4e3a\uff08 \uff09
\uff08A\uff09x=3+2 \uff08B\uff09x=3-2
\uff08C\uff09x1=3+2 ,x2=3-2 \uff08D\uff09x1=3+2,x2=3-2
\u4e00\u3001\u586b\u7a7a\u9898\uff1a\uff08\u6bcf\u7a7a3\u5206\uff0c\u517130\u5206\uff09
1\u3001\u65b9\u7a0b(x-1)(2x+1)=2\u5316\u6210\u4e00\u822c\u5f62\u5f0f\u662f \uff0c\u5b83\u7684\u4e8c\u6b21\u9879\u7cfb\u6570\u662f .
2\u3001\u5173\u4e8ex\u7684\u65b9\u7a0b\u662f(m2-1)x2+(m-1)x-2=0\uff0c\u90a3\u4e48\u5f53m \u65f6\uff0c\u65b9\u7a0b\u4e3a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff1b
\u5f53m \u65f6\uff0c\u65b9\u7a0b\u4e3a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b.
3\u3001\u82e5\u65b9\u7a0b \u6709\u589e\u6839\uff0c\u5219\u589e\u6839x=__________\uff0cm= .
4\u3001(2003\u8d35\u9633)\u5df2\u77e5\u65b9\u7a0b \u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839\uff0c\u5219\u9510\u89d2 =___________.
5\u3001\u82e5\u65b9\u7a0bkx2-6x+1=0\u6709\u4e24\u4e2a\u5b9e\u6570\u6839\uff0c\u5219k\u7684\u53d6\u503c\u8303\u56f4\u662f .
6\u3001\u8bbex1\u3001x2\u662f\u65b9\u7a0b3x2+4x-5=0\u7684\u4e24\u6839\uff0c\u5219 .x12+x22= .
7\u3001\u5173\u4e8ex\u7684\u65b9\u7a0b2x2+(m2-9)x+m+1=0\uff0c\u5f53m= \u65f6\uff0c\u4e24\u6839\u4e92\u4e3a\u5012\u6570\uff1b
\u5f53m= \u65f6\uff0c\u4e24\u6839\u4e92\u4e3a\u76f8\u53cd\u6570.
8\u3001\u82e5x1 = \u662f\u4e8c\u6b21\u65b9\u7a0bx2+ax+1=0\u7684\u4e00\u4e2a\u6839\uff0c\u5219a= \uff0c
\u8be5\u65b9\u7a0b\u7684\u53e6\u4e00\u4e2a\u6839x2 = .
9\u3001\u65b9\u7a0bx2+2x+a-1=0\u6709\u4e24\u4e2a\u8d1f\u6839\uff0c\u5219a\u7684\u53d6\u503c\u8303\u56f4\u662f .
10\u3001\u82e5p2-3p-5=0\uff0cq2\uff0d3q-5=0\uff0c\u4e14p\u2260q\uff0c\u5219 .
\u4e8c\u3001\u9009\u62e9\u9898\uff1a\uff08\u6bcf\u5c0f\u98983\u5206\uff0c\u517115\u5206\uff09
1\u3001\u65b9\u7a0b \u7684\u6839\u7684\u60c5\u51b5\u662f\uff08 \uff09
\uff08A\uff09\u65b9\u7a0b\u6709\u4e24\u4e2a\u4e0d\u76f8\u7b49\u7684\u5b9e\u6570\u6839 \uff08B\uff09\u65b9\u7a0b\u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839
\uff08C\uff09\u65b9\u7a0b\u6ca1\u6709\u5b9e\u6570\u6839 \uff08D\uff09\u65b9\u7a0b\u7684\u6839\u7684\u60c5\u51b5\u4e0e \u7684\u53d6\u503c\u6709\u5173
2\u3001\u5df2\u77e5\u65b9\u7a0b \uff0c\u5219\u4e0b\u5217\u8bf4\u4e2d\uff0c\u6b63\u786e\u7684\u662f\uff08 \uff09
\uff08A\uff09\u65b9\u7a0b\u4e24\u6839\u548c\u662f1 \uff08B\uff09\u65b9\u7a0b\u4e24\u6839\u79ef\u662f2
\uff08C\uff09\u65b9\u7a0b\u4e24\u6839\u548c\u662f\uff0d1 \uff08D\uff09\u65b9\u7a0b\u4e24\u6839\u79ef\u662f\u4e24\u6839\u548c\u76842\u500d
3\u3001\u5df2\u77e5\u65b9\u7a0b \u7684\u4e24\u4e2a\u6839\u90fd\u662f\u6574\u6570\uff0c\u5219 \u7684\u503c\u53ef\u4ee5\u662f\uff08 \uff09
\uff08A\uff09-1 \uff08B\uff091 \uff08C\uff095 \uff08D\uff09\u4ee5\u4e0a\u4e09\u4e2a\u4e2d\u7684\u4efb\u4f55\u4e00\u4e2a
4\u3001\u5982\u679c\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2+px+q=0\u7684\u4e24\u6839\u5206\u522b\u4e3ax1\uff1d3\u3001x2\uff1d1\uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u662f\uff08 \uff09
A. x2+3x+4=0 B. x2-4x+3=0 C. x2+4x-3=0 D. x2+3x-4=0
5\u3001\u7528\u914d\u65b9\u6cd5\u89e3\u4e0b\u5217\u65b9\u7a0b\u65f6\uff0c\u914d\u65b9\u6709\u9519\u8bef\u7684\u662f\uff08 \uff09
A.x2-2x-99=0\u5316\u4e3a(x-1)2=100 B.x2+8x+9=0\u5316\u4e3a(x+4)2=25
C.2t2-7t-4=0\u5316\u4e3a D.3y2-4y-2=0\u5316\u4e3a
\u4e09\u3001\u89e3\u4e0b\u5217\u65b9\u7a0b\uff1a(\u6bcf\u5c0f\u98985\u5206\uff0c\u517130\u5206)
\uff081\uff09 \uff082\uff09
(3) (4)4x2-8x+1=0\uff08\u7528\u914d\u65b9\u6cd5\uff09
(5) 3x2+5(2x+1)=0\uff08\u7528\u516c\u5f0f\u6cd5\uff09 (6)
\u56db\u3001\uff08\u672c\u98986\u5206\uff09
(2003\u5b81\u590f)\u67d0\u5316\u80a5\u5382\u53bb\u5e74\u56db\u6708\u4efd\u751f\u4ea7\u5316\u80a5500\u5428\uff0c\u56e0\u7ba1\u7406\u4e0d\u5584\uff0c\u4e94\u6708\u4efd\u7684\u4ea7\u91cf\u51cf\u5c11\u4e8610\uff05\uff0e\u4ece\u516d\u6708\u8d77\u5f3a\u5316\u7ba1\u7406\uff0c\u4ea7\u91cf\u9010\u6708\u4e0a\u5347\uff0c\u4e03\u6708\u4efd\u4ea7\u91cf\u8fbe\u5230648\u5428\uff0e\u90a3\u4e48\uff0c\u8be5\u5382\u516d\u3001\u4e03\u4e24\u6708\u4ea7\u91cf\u5e73\u5747\u589e\u957f\u7684\u767e\u5206\u7387\u662f\u591a\u5c11\uff1f
\u4e94\u3001\uff08\u672c\u98986\u5206\uff09
\u6709\u4e00\u95f4\u957f\u4e3a20\u7c73\uff0c\u5bbd\u4e3a15\u7c73\u7684\u4f1a\u8bae\u5ba4\uff0c\u5728\u5b83\u4eec\u4e2d\u95f4\u94fa\u4e00\u5757\u5730\u6bef\u4e3a\uff0c\u5730\u6bef\u7684\u9762\u79ef\u662f\u4f1a\u8bae\u5ba4\u9762\u79ef\u7684\u4e00\u534a\uff0c\u56db\u5468\u672a\u94fa\u5730\u6bef\u7684\u7559\u7a7a\u5bbd\u5ea6\u76f8\u540c\uff0c\u5219\u7559\u7a7a\u5bbd\u5ea6\u4e3a\u591a\u5c11\u7c73\uff1f
\u516d\u3001\uff08\u672c\u98986\u5206\uff09
(2003\u5357\u4eac)\u67d0\u706f\u5177\u5e97\u91c7\u8d2d\u4e86\u4e00\u6279\u67d0\u79cd\u578b\u53f7\u7684\u8282\u80fd\u706f\uff0c\u5171\u7528\u53bb400\u5143\uff0e\u5728\u642c\u8fd0\u8fc7\u7a0b\u4e2d\u4e0d\u614e\u6253\u788e\u4e865\u76cf\uff0c\u8be5\u5e97\u628a\u4f59\u4e0b\u7684\u706f\u6bcf\u76cf\u52a0\u4ef74\u5143\u5168\u90e8\u552e\u51fa\uff0c\u7136\u540e\u7528\u6240\u5f97\u7684\u94b1\u53c8\u91c7\u8d2d\u4e86\u4e00\u6279\u8fd9\u79cd\u8282\u80fd\u706f\uff0c\u4e14\u8fdb\u4ef7\u4e0e\u4e0a\u6b21\u76f8\u540c\uff0c\u4f46\u8d2d\u4e70\u7684\u6570\u91cf\u6bd4\u4e0a\u6b21\u591a\u4e869\u76cf\uff0e\u6c42\u6bcf\u76cf\u706f\u7684\u8fdb\u4ef7\uff0e
\u4e03\u3001\uff08\u672c\u989812\u5206\uff0c\u5176\u4e2d\u7b2c(1)\u95ee7\u5206\uff0c\u7b2c(2)\u95ee\u662f\u9644\u52a0\u98985\u5206\uff09
(2003\u6f4d\u574a) \u5982\u56fe\u6240\u793a\uff0c\u25b3ABC\u4e2d\uff0cAB=6\u5398\u7c73\uff0cBC=8\u5398\u7c73\uff0c\u2220B=90\u00b0\uff0c\u70b9P\u4ece\u70b9A\u5f00\u59cb\u6cbfAB\u8fb9\u5411B\u4ee51\u5398\u7c73/\u79d2\u7684\u901f\u5ea6\u79fb\u52a8\uff0c\u70b9Q\u4eceB\u70b9\u5f00\u59cb\u6cbfBC\u8fb9\u5411\u70b9C\u4ee52\u5398\u7c73/\u79d2\u7684\u901f\u5ea6\u79fb\u52a8.
(1) \u5982\u679cP\u3001Q\u5206\u522b\u4eceA\u3001B\u540c\u65f6\u51fa\u53d1\uff0c\u7ecf\u8fc7\u51e0\u79d2\uff0c\u4f7f\u25b3PBQ\u7684\u9762\u79ef\u7b49\u4e8e8\u5e73\u65b9\u5398\u7c73\uff1f
(2) (\u9644\u52a0\u9898)\u5982\u679cP\u3001Q\u5206\u522b\u4eceA\u3001B\u51fa\u53d1\uff0c\u5e76\u4e14P\u5230B\u540e\u53c8\u7ee7\u7eed\u5728BC\u8fb9\u4e0a\u524d\u8fdb\uff0c\u7ecf\u8fc7\u51e0\u79d2\uff0c\u4f7f\u25b3PCQ\u7684\u9762\u79ef\u7b49\u4e8e12.6\u5e73\u65b9\u5398\u7c73\uff1f
\u4e00\u3001\u586b\u7a7a\u9898\uff1a\uff08\u6bcf\u7a7a3\u5206\uff0c\u517130\u5206\uff09
1\u3001\u65b9\u7a0b(x\u20131)(2x+1)=2\u5316\u6210\u4e00\u822c\u5f62\u5f0f\u662f \uff0c\u5b83\u7684\u4e8c\u6b21\u9879\u7cfb\u6570\u662f .
2\u3001\u5173\u4e8ex\u7684\u65b9\u7a0b\u662f(m2\u20131)x2+(m\u20131)x\u20132=0\uff0c\u90a3\u4e48\u5f53m \u65f6\uff0c\u65b9\u7a0b\u4e3a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff1b
\u5f53m \u65f6\uff0c\u65b9\u7a0b\u4e3a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b.
3\u3001\u82e5\u65b9\u7a0b \u6709\u589e\u6839\uff0c\u5219\u589e\u6839x=__________\uff0cm= .
4\u3001(2003\u8d35\u9633)\u5df2\u77e5\u65b9\u7a0b \u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839\uff0c\u5219\u9510\u89d2 =___________.
5\u3001\u82e5\u65b9\u7a0bkx2\u20136x+1=0\u6709\u4e24\u4e2a\u5b9e\u6570\u6839\uff0c\u5219k\u7684\u53d6\u503c\u8303\u56f4\u662f .
6\u3001\u8bbex1\u3001x2\u662f\u65b9\u7a0b3x2+4x\u20135=0\u7684\u4e24\u6839\uff0c\u5219 .x12+x22= .
7\u3001\u5173\u4e8ex\u7684\u65b9\u7a0b2x2+(m2\u20139)x+m+1=0\uff0c\u5f53m= \u65f6\uff0c\u4e24\u6839\u4e92\u4e3a\u5012\u6570\uff1b
\u5f53m= \u65f6\uff0c\u4e24\u6839\u4e92\u4e3a\u76f8\u53cd\u6570.
8\u3001\u82e5x1 = \u662f\u4e8c\u6b21\u65b9\u7a0bx2+ax+1=0\u7684\u4e00\u4e2a\u6839\uff0c\u5219a= \uff0c
\u8be5\u65b9\u7a0b\u7684\u53e6\u4e00\u4e2a\u6839x2 = .
9\u3001\u65b9\u7a0bx2+2x+a\u20131=0\u6709\u4e24\u4e2a\u8d1f\u6839\uff0c\u5219a\u7684\u53d6\u503c\u8303\u56f4\u662f .
10\u3001\u82e5p2\u20133p\u20135=0\uff0cq2\uff0d3q\u20135=0\uff0c\u4e14p\u2260q\uff0c\u5219 .
\u4e8c\u3001\u9009\u62e9\u9898\uff1a\uff08\u6bcf\u5c0f\u98983\u5206\uff0c\u517115\u5206\uff09
1\u3001\u65b9\u7a0b \u7684\u6839\u7684\u60c5\u51b5\u662f\uff08 \uff09
\uff08A\uff09\u65b9\u7a0b\u6709\u4e24\u4e2a\u4e0d\u76f8\u7b49\u7684\u5b9e\u6570\u6839 \uff08B\uff09\u65b9\u7a0b\u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839
\uff08C\uff09\u65b9\u7a0b\u6ca1\u6709\u5b9e\u6570\u6839 \uff08D\uff09\u65b9\u7a0b\u7684\u6839\u7684\u60c5\u51b5\u4e0e \u7684\u53d6\u503c\u6709\u5173
2\u3001\u5df2\u77e5\u65b9\u7a0b \uff0c\u5219\u4e0b\u5217\u8bf4\u4e2d\uff0c\u6b63\u786e\u7684\u662f\uff08 \uff09
\uff08A\uff09\u65b9\u7a0b\u4e24\u6839\u548c\u662f1 \uff08B\uff09\u65b9\u7a0b\u4e24\u6839\u79ef\u662f2
\uff08C\uff09\u65b9\u7a0b\u4e24\u6839\u548c\u662f\uff0d1 \uff08D\uff09\u65b9\u7a0b\u4e24\u6839\u79ef\u662f\u4e24\u6839\u548c\u76842\u500d
3\u3001\u5df2\u77e5\u65b9\u7a0b \u7684\u4e24\u4e2a\u6839\u90fd\u662f\u6574\u6570\uff0c\u5219 \u7684\u503c\u53ef\u4ee5\u662f\uff08 \uff09
\uff08A\uff09\u20141 \uff08B\uff091 \uff08C\uff095 \uff08D\uff09\u4ee5\u4e0a\u4e09\u4e2a\u4e2d\u7684\u4efb\u4f55\u4e00\u4e2a
4\u3001\u5982\u679c\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2+px+q=0\u7684\u4e24\u6839\u5206\u522b\u4e3ax1\uff1d3\u3001x2\uff1d1\uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u662f\uff08 \uff09
A. x2+3x+4=0 B. x2-4x+3=0 C. x2+4x-3=0 D. x2+3x-4=0
5\u3001\u7528\u914d\u65b9\u6cd5\u89e3\u4e0b\u5217\u65b9\u7a0b\u65f6\uff0c\u914d\u65b9\u6709\u9519\u8bef\u7684\u662f\uff08 \uff09
A.x2-2x-99=0\u5316\u4e3a(x-1)2=100 B.x2+8x+9=0\u5316\u4e3a(x+4)2=25
C.2t2-7t-4=0\u5316\u4e3a D.3y2-4y-2=0\u5316\u4e3a
\u4e09\u3001\u89e3\u4e0b\u5217\u65b9\u7a0b\uff1a(\u6bcf\u5c0f\u98985\u5206\uff0c\u517130\u5206)
\uff081\uff09 \uff082\uff09
(3) (4)4x2\u20138x+1=0\uff08\u7528\u914d\u65b9\u6cd5\uff09
(5) 3x2+5(2x+1)=0\uff08\u7528\u516c\u5f0f\u6cd5\uff09 (6)
\u56db\u3001\uff08\u672c\u98986\u5206\uff09
(2003\u5b81\u590f)\u67d0\u5316\u80a5\u5382\u53bb\u5e74\u56db\u6708\u4efd\u751f\u4ea7\u5316\u80a5500\u5428\uff0c\u56e0\u7ba1\u7406\u4e0d\u5584\uff0c\u4e94\u6708\u4efd\u7684\u4ea7\u91cf\u51cf\u5c11\u4e8610\uff05\uff0e\u4ece\u516d\u6708\u8d77\u5f3a\u5316\u7ba1\u7406\uff0c\u4ea7\u91cf\u9010\u6708\u4e0a\u5347\uff0c\u4e03\u6708\u4efd\u4ea7\u91cf\u8fbe\u5230648\u5428\uff0e\u90a3\u4e48\uff0c\u8be5\u5382\u516d\u3001\u4e03\u4e24\u6708\u4ea7\u91cf\u5e73\u5747\u589e\u957f\u7684\u767e\u5206\u7387\u662f\u591a\u5c11\uff1f
\u4e94\u3001\uff08\u672c\u98986\u5206\uff09
\u6709\u4e00\u95f4\u957f\u4e3a20\u7c73\uff0c\u5bbd\u4e3a15\u7c73\u7684\u4f1a\u8bae\u5ba4\uff0c\u5728\u5b83\u4eec\u4e2d\u95f4\u94fa\u4e00\u5757\u5730\u6bef\u4e3a\uff0c\u5730\u6bef\u7684\u9762\u79ef\u662f\u4f1a\u8bae\u5ba4\u9762\u79ef\u7684\u4e00\u534a\uff0c\u56db\u5468\u672a\u94fa\u5730\u6bef\u7684\u7559\u7a7a\u5bbd\u5ea6\u76f8\u540c\uff0c\u5219\u7559\u7a7a\u5bbd\u5ea6\u4e3a\u591a\u5c11\u7c73\uff1f
\u516d\u3001\uff08\u672c\u98986\u5206\uff09
(2003\u5357\u4eac)\u67d0\u706f\u5177\u5e97\u91c7\u8d2d\u4e86\u4e00\u6279\u67d0\u79cd\u578b\u53f7\u7684\u8282\u80fd\u706f\uff0c\u5171\u7528\u53bb400\u5143\uff0e\u5728\u642c\u8fd0\u8fc7\u7a0b\u4e2d\u4e0d\u614e\u6253\u788e\u4e865\u76cf\uff0c\u8be5\u5e97\u628a\u4f59\u4e0b\u7684\u706f\u6bcf\u76cf\u52a0\u4ef74\u5143\u5168\u90e8\u552e\u51fa\uff0c\u7136\u540e\u7528\u6240\u5f97\u7684\u94b1\u53c8\u91c7\u8d2d\u4e86\u4e00\u6279\u8fd9\u79cd\u8282\u80fd\u706f\uff0c\u4e14\u8fdb\u4ef7\u4e0e\u4e0a\u6b21\u76f8\u540c\uff0c\u4f46\u8d2d\u4e70\u7684\u6570\u91cf\u6bd4\u4e0a\u6b21\u591a\u4e869\u76cf\uff0e\u6c42\u6bcf\u76cf\u706f\u7684\u8fdb\u4ef7\uff0e
\u4e03\u3001\uff08\u672c\u989812\u5206\uff0c\u5176\u4e2d\u7b2c(1)\u95ee7\u5206\uff0c\u7b2c(2)\u95ee\u662f\u9644\u52a0\u98985\u5206\uff09
(2003\u6f4d\u574a) \u5982\u56fe\u6240\u793a\uff0c\u25b3ABC\u4e2d\uff0cAB=6\u5398\u7c73\uff0cBC=8\u5398\u7c73\uff0c\u2220B=90\u00b0\uff0c\u70b9P\u4ece\u70b9A\u5f00\u59cb\u6cbfAB\u8fb9\u5411B\u4ee51\u5398\u7c73/\u79d2\u7684\u901f\u5ea6\u79fb\u52a8\uff0c\u70b9Q\u4eceB\u70b9\u5f00\u59cb\u6cbfBC\u8fb9\u5411\u70b9C\u4ee52\u5398\u7c73/\u79d2\u7684\u901f\u5ea6\u79fb\u52a8.
(1) \u5982\u679cP\u3001Q\u5206\u522b\u4eceA\u3001B\u540c\u65f6\u51fa\u53d1\uff0c\u7ecf\u8fc7\u51e0\u79d2\uff0c\u4f7f\u25b3PBQ\u7684\u9762\u79ef\u7b49\u4e8e8\u5e73\u65b9\u5398\u7c73\uff1f
(2) (\u9644\u52a0\u9898)\u5982\u679cP\u3001Q\u5206\u522b\u4eceA\u3001B\u51fa\u53d1\uff0c\u5e76\u4e14P\u5230B\u540e\u53c8\u7ee7\u7eed\u5728BC\u8fb9\u4e0a\u524d\u8fdb\uff0c\u7ecf\u8fc7\u51e0\u79d2\uff0c\u4f7f\u25b3PCQ\u7684\u9762\u79ef\u7b49\u4e8e12.6\u5e73\u65b9\u5398\u7c73\uff1f
01.\u5df2\u77e5\u4e09\u89d2\u5f62ABC\u7684\u4e24\u8fb9AB AC\u7684\u957f\u5ea6\u662f\u5173\u4e8e\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b
x^2-(2k+2)x+k^2\uff1d0\u7684\u7684\u4e24\u4e2a\u6839\uff0c\u7b2c\u4e09\u8fb9\u957f\u4e3a10\uff0c\u95eeK\u4e3a\u4f55\u503c\u65f6\u4e09\u89d2\u5f62ABC\u4e3a\u7b49\u8170\u4e09\u89d2\u5f62\uff1f
02.\u8bc1\u660e\u5173\u4e8ex\u7684\u65b9\u7a0b\uff08m^2-8m+17\uff09x^2+2mx+1\uff1d0 \u65e0\u8bbam\u4e3a\u4efb\u4f55\u503c\uff0c\u8be5\u65b9\u7a0b\u90fd\u4e3a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b
\u82e5a\u4e3a\u6709\u7406\u6570,\u8bd5\u63a2\u6c42\u5f53b\u4e3a\u4f55\u503c\u65f6,\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx^2+3(a-1)x+(2a^2+a+b)=0\u7684\u6839\u4e3a\u6709\u7406\u6570?
2.\u8bbe\u5173\u4e8ey\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b3(m-2)y^2-2(m+1)y-m=0\u6709\u6b63\u6574\u6570\u6839\uff0c\u8bd5\u63a2\u6c42\u6ee1\u8db3\u6761\u4ef6\u7684\u6574\u6570m
1.\u5df2\u77e5a\u662f\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2-3x+m=0\u7684\u4e00\u4e2a\u6839,-a\u662f\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2+3x-m=0.\u8bd5\u6c42a\u7684\u503c.
2.\u5982\u679c\u6211\u4eec\u77e5\u9053\u65b9\u7a0b(k2+2)x2+(5-k)x=1-3kx2 \u662f\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b.\u90a3\u4e48\u4f60\u80fd\u6c42\u5f97k\u7684\u503c\u5417?
3(x2+3x+4)(x2+3x+5)=6.\u901a\u8fc7\u4ed4\u7ec6\u89c2\u5bdf.\u5de7\u5999\u89e3\u9898(\u4e0d\u51c6\u5c55\u5f00\u89e3\u9898.)
4\u5df2\u77e5m.n\u662f\u5173\u4e8ex\u7684\u65b9\u7a0bx2-(p-2)x+1=0\u7684\u4e24\u4e2a\u5b9e\u6570\u6839,\u6c42\u4ee3\u6570\u5f0f(m2+mp+1)(n2+np+1)\u7684\u503c
1.\u5df2\u77e5\u65b9\u7a0bx+1/x=a+1/a\u76842\u6839\u5206\u522b\u4e3aa,1/a,\u5219\u65b9\u7a0bx+1/(x-1)=a+1/(a-1)\u7684\u6839\u662f_______.
2.\u82e5a=3,b=2\uff0c\u5219\u4ee5a,b\u4f1f\u6839\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff08\u4e8c\u6b21\u9879\u7cfb\u6570\u4e3a\u4e00\uff09\u662f_________.
3.\u5df2\u77e5\u65b9\u7a0bx^2-2x-1=0\u76842\u6839\u662f1+\u221a2,1-\u221a2,\u5219\u5206\u89e3\u56e0\u5f0f:x^2-2x-1=________.
4.\u5df2\u77e5\u65b9\u7a0bx^(K-2)+(k-2)x^2+x-k=0,\u5f53k\u53d6\u4f55\u503c\u65f6\uff0c\u65b9\u7a0b\u662f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff1f
1\u3001 \u4f7f\u5b9e\u7cfb\u6570\u4e8c\u6b21\u65b9\u7a0b2mx[2]+(4m+1)x+2m=0\u6709\u4e24\u4e2a\u4e0d\u76f8\u7b49\u7684\u5b9e\u6570\u6839\u7684m\u7684\u8303\u56f4\u662f\uff08 \uff09
2\u3001 \u6ee1\u8db3\u65b9\u7a0bx[2]+b[2]=(a-x)[2]\u7684x\u7684\u503c\u662f\uff08 \uff09
3\u3001 \u5173\u4e8ex\u7684\u65b9\u7a0bx[2]-(2a-1)x+a=5\u7684\u4e00\u4e2a\u89e3\u662f1,\u5219a\u7684\u503c\u4e3a( )
4\u3001 a,b,c\u4e3a\u4e0d\u5168\u662f0\u76843\u4e2a\u5b9e\u6570,\u90a3\u4e48\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx[2]+(a+b+c)x+(a[2]+b[2]+c[2])=0\u7684\u6839\u7684\u60c5\u51b5\u662f\uff08 \uff09
a \u67092\u4e2a\u8d1f\u6839 b \u6709\u4e24\u4e2a\u6b63\u6839 c \u67092\u4e2a\u5f02\u53f7\u5b9e\u6839 d \u65e0\u5b9e\u6839
5\u3001 \u6ee1\u8db3x[2]+7x+c=0\u6709\u5b9e\u6839\u7684\u6700\u5927\u6574\u6570c\u662f\uff08 \uff09
6\u3001 \u65b9\u7a0bx[2]+1993x-1994=0\u548c(1994x)[2]-1993\u00b71995x-1=0\u7684\u8f83\u5c0f\u6839\u4f9d\u6b21\u4e3aa\uff0cb\uff0c\u6c42ab\u7684\u503c
\u8bbe\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx\u5e73\u65b9+px+q=0\u7684\u4e24\u4e2a\u6839\u4e3aA\uff0cB\uff0c\u4e14A\uff0cB\u6ee1\u8db3lgA+lgB\uff1d2\uff0clg\uff08A+B\uff09\uff1d2\uff0d2lg6+lg9,\u6c42\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u53caA\uff0cB\u7684\u503c\uff01
1\u3001\u5df2\u77e5a\u3001b \u4e3a\u65b9\u7a0b2x*x-5x+1=0\u7684\u6839\uff0c\u4e0d\u89e3\u65b9\u7a0b\uff0c\u6c42\u503c\uff1a
\uff081\uff091/a+1/b (2)|a-b|
2\u3001\u5df2\u77e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx*x-2mx-5+2m=0 \u7684\u4e24\u6839\u4e4b\u5dee\u7684\u7edd\u5bf9\u503c\u7b49\u4e8e4\u500d\u6839\u53f72\uff0c\u6c42m
\u65b9\u7a0b (m-3)x^(m^-7) +(m-2)+5=0
\uff081\uff09m\u4e3a\u4f55\u503c\u65f6\uff0c\u65b9\u7a0b\u662f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff1b
\uff082\uff09m\u4e3a\u4f55\u503c\u65f6\uff0c\u65b9\u7a0b\u662f\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b
X\u76842a+b\u6b21\u65b9-2\u00d7x\u7684a-b\u6b21\u65b9+3=0\u662f\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff0c\u6c42a\u3001b\u7684\u503c\u3002
\u5df2\u77e5a\u3001b\u662f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx^2+2001x+1=0\u7684\u4e24\u4e2a\u6839,\u5219(1+2003a+a^2)(1+2003b+b^2)=( )
a\u30011 b\u30012
c\u30013 d\u30014
\u5df2\u77e5\uff0ca\u3001b\u662f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx^2+px-1=0\u7684\u4e24\u4e2a\u5b9e\u6570\u8ddf\uff0c\u4e143ab+b^2+2=8b\u3002\u6c42p\u7684\u503c\u3002
\u5982\u679c\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b(ax+1)(x-a)=a-2\u7684\u5404\u9879\u7cfb\u6570\u4e4b\u548c\u4e3a3\uff0c\u6c42a\u7684\u503c\uff0c\u5e76\u89e3\u6b64\u65b9\u7a0b
\u5df2\u77e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b(ab-2b)x^2+2(b-a)x+2a-b=0\u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839\uff0c\u6c421/a+1/b
\u6ce8\uff1aX\uff3e2\u8868\u793aX\u7684\u5e73\u65b9
\u56de\u7b54\u8005\uff1a \u8a93\u8a00\u4eca\u751f - \u52a9\u7406 \u4e8c\u7ea7 2-27 17:51
1.\u89e3\u4e0b\u5217\u5173\u4e8ex\u7684\u65b9\u7a0b\uff1a
(1)3a+4x=7x\uff0d5b; (2)xa\uff0db=xb\uff0da(a\u2260b)\uff1b
(3)m2(x\uff0dn)=n2(x\uff0dm)(m2\u2260n2);
(4)ab+xa=xb\uff0dba(a\u2260b);
(5)a2x+2=a(x+2)(a\u22600,a\u22601).
2.\u586b\u7a7a\uff1a
(1)\u5df2\u77e5y=rx+b r\u22600,\u5219x=_______;
(2)\u5df2\u77e5F=ma,a\u22600\uff0c\u5219m=_________;
(3)\u5df2\u77e5ax+by=c\uff0ca\u22600\uff0c\u5219x=_______.
3.\u4ee5\u4e0b\u516c\u5f0f\u4e2d\u7684\u5b57\u6bcd\u90fd\u4e0d\u7b49\u4e8e\u96f6.
(1)\u6c42\u51fa\u516c\u5f0fm=pn+2\u4e2d\u7684n;
(2)\u5df2\u77e5xa+1b=1m\uff0c\u6c42x\uff1b
(3)\u5728\u516c\u5f0fS=a+b2h\u4e2d\uff0c\u6c42a;
(4)\u5728\u516c\u5f0fS=\u03c5ot+12t2x\u4e2d\uff0c\u6c42x.
\u7b54\u6848\uff1a
1.(1)x=3a+5b 3\uff1b (2)x=ab; (3)x=mn m+n; (4)x=a2+b2 a\uff0db (5)x=2a.
2.(1)x=y\uff0db r\uff1b (2)m=Fa; (3)x=c\uff0dby a.
3.(1)n=p\uff0d2m m; (2)x=ab\uff0dam bm; (3)a=2s\uff0dbh h;
(4)x=2s\uff0d2\u03c5ott2.
粗细一样，长度不同。
绛旓細铻轰笣閽塵2*4銆乵2*5銆乵2*6鏈夊尯鍒悧锛屽崠铻烘爴铻轰笣铻烘瘝淇炴枃榫欒涓鸿灪涓濋拤m2*4銆乵2*5銆乵2*6褰撶劧鏈夊尯鍒玬2*4鏄2mm澶э紝4mm闀匡紝m2*5鏄2mm澶э紝5mm闀匡紝m2*6鏄2mm澶э紝6mm闀裤
绛旓細1.鑷敾铻轰笣閽塎2脳5鐨勬剰鎬濇槸鑷敾铻轰笣閽夌殑瑙勬牸澶у皬涓篗2脳5銆2.鑷敾铻洪拤锛屾垨绉板揩鐗欒灪涓濓紝涓洪挗鍒剁粡琛ㄩ潰闀閿岄挐鍖栫殑蹇绱у浐浠躲傝嚜鏀昏灪閽夊鐢ㄤ簬钖勭殑閲戝睘鏉匡紙閽㈡澘銆侀敮鏉跨瓑锛変箣闂寸殑杩炴帴銆傝繛鎺ユ椂锛屽厛瀵硅杩炴帴浠跺埗鍑鸿灪绾瑰簳瀛旓紝鍐嶅皢鑷敾铻洪拤鎷у叆琚繛鎺ヤ欢鐨勮灪绾瑰簳瀛斾腑銆傝嚜閽昏嚜鏀昏灪閽変笌鏅氳灪閽変笉鍚屼箣澶勬槸鏅氳灪...
绛旓細鍒嗗埆涓3.3/4.2/5/6.7/8.5/10.2/12/14/15.5/17.5/19.5/21mm銆侻24鐨勪笣鏀诲父鐢ㄩ捇澶次21閽诲ご锛孧24鐨勪笣鏀昏灪璺濅负3姣背锛岄捇瀛斿昂瀵=铻虹汗鐩村緞-铻鸿窛=24-3=21姣背銆傚叿浣撳緱鐪嬬墮璺濇槸澶氬皯锛屼笉濂芥敾鐗欑殑鏉愭枡锛岄捇瀛斿昂瀵镐篃鍙互閫傚綋鐨勫姞澶с傛瘮濡侻8*1.25鐩存帴鐢8-1.25=6.7鐢ㄥ寰勫噺鍘昏灪璺濆氨鏄簳瀛斿昂瀵...
绛旓細Ex: 5/16 x 0.50- PPB = 2.5/8 x 0.50 - PPB : 2 鍒嗗崐鐗铻轰笣閽x 0.50鈥 闀縋PB銆侲x: 5/32 x 0.50- PPB =1.25/8 x 0.50 - PPB : 1 鍒2 鍘樺崐铻轰笣閽墄 0.50鈥 闀縋PB銆侲x: 1/4 x 0.50- PPB= 2/8 x 0.50 - PPB : 2鍒嗙墮铻轰笣閽墄 0.50鈥 闀縋PB銆
绛旓細鍝佺墝锛氬崥灞 鍨嬪彿锛欱Z007 绫诲埆锛氳嚜鏀昏灪閽 澶村瀷锛氭矇澶 妲藉瀷锛氬崄瀛 铻虹汗瑙勬牸锛歁3-8 铻虹汗鍏樊锛4h 鍏О闀垮害锛5-120(mm)鏉愭枡绛夌骇锛氫笉閿堥挗 A2-70 浜у搧绛夌骇锛欰绾 浜у搧浠锋牸锛0.90鍏 闆呮濈壒鐜拌揣渚涘簲4.8銆8.8绾у崄瀛椼佸嚬鑴戙佸钩鑴戝鍏涓夌粍鍚铻轰笣閽 浜у搧浠锋牸锛0.20鍏 铻虹汗瑙勬牸锛氬浗鏍 鎬婚暱搴︼細10---60...
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绛旓細B-3, B-4,B-5 : 鏍囩ず鏂瑰紡涓庡叕鍒剁浉鍚.C: 鑻卞埗铻轰笣閽:C-1: Thread Code:鏍囩ず鐨嗗皢鍒嗘瘝涓8, 鍐嶇洿鎺ョО鍒嗗瓙涔嬬暘鍙.Ex: 1/8 x 0.50 CPPB: 1 鍒嗙墮铻轰笣閽墄 0.50 闀, PPB Ex: 5/16 x 0.50 CPPB = 2.5/8 x 0.50-PPB : 2 鍒嗗崐鐗...>> 闂涓夛細鍥芥爣澶栧叚瑙掕灪涓濆垎涓哄嚑绉嶏紵
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绛旓細铻轰笣鏀荤墮閽诲瓟寰勫拰婊氫笣寰勫鐓ц〃銆傚叕鍒剁矖铻虹汗 缇庡埗绮楄灪绾广傝鏍 鏍囧噯寰 2绾х墮閽诲瓟寰 瑙勬牸锛圲NC锛 鏍囧噯寰 2绾х墮閽诲瓟寰勩傛渶澶 鏈灏忥細
绛旓細涓嶇鏄粈涔堢瑪璁版湰锛屼竴鑸湅涓婇潰鐨铻轰笣鍨嬪彿锛岄兘鏄細M2銆M2.5鎴栬匨3鐨勮繖鍑犵锛屽啀涓涓氨鏄灪绾归暱搴﹀拰鎬婚暱搴︼紝涓鑸殑绗旇鏈笂鐨勮灪涓濈殑鍨嬪彿濡備笅锛
