求几道初一数学的多项式乘多项式的难题。。。急。。。。不要答案。 初一数学多项式乘多项式的应用题
\u6c42100\u9053\u521d\u4e00\u4e0a\u5b66\u671f\u6570\u5b66\u96be\u9898\uff08\u5e26\u7b54\u6848\uff09\u4f60\u662f\u4ec0\u4e48\u6559\u6750
\u5982\u679c\u53ef\u4ee5\u6211\u5e2e\u4f60
\u521d\u4e00\u5965\u6570\u7ec3\u4e60\u9898\u4e00
\u7532\u591a\u5f00\u652f100\u5143\uff0c\u4e09\u5e74\u540e\u8d1f\u503a600\u5143\uff0e\u6c42\u6bcf\u4eba\u6bcf\u5e74\u6536\u5165\u591a\u5c11\uff1f
S\u7684\u672b\u56db\u4f4d\u6570\u5b57\u7684\u548c\u662f\u591a\u5c11\uff1f
\u3000\u3000\u3000\u3000
4\uff0e\u4e00\u4e2a\u4eba\u4ee53\u5343\u7c73/\u5c0f\u65f6\u7684\u901f\u5ea6\u4e0a\u5761\uff0c\u4ee56\u5343\u7c73/\u5c0f\u65f6\u7684\u901f\u5ea6\u4e0b\u5761\uff0c\u884c\u7a0b12\u5343\u7c73\u5171\u7528\u4e863\u5c0f\u65f620\u5206\u949f\uff0c\u8bd5\u6c42\u4e0a\u5761\u4e0e\u4e0b\u5761\u7684\u8def\u7a0b\uff0e
5\uff0e\u6c42\u548c\uff1a
6\uff0e\u8bc1\u660e\uff1a\u8d28\u6570p\u9664\u4ee530\u6240\u5f97\u7684\u4f59\u6570\u4e00\u5b9a\u4e0d\u662f\u5408\u6570\uff0e
8\uff0e\u82e5\u4e24\u4e2a\u6574\u6570x\uff0cy\u4f7fx2+xy+y2\u80fd\u88ab9\u6574\u9664\uff0c\u8bc1\u660e\uff1ax\u548cy\u80fd\u88ab3\u6574\u9664\uff0e
9\uff0e\u5982\u56fe1\uff0d95\u6240\u793a\uff0e\u5728\u56db\u8fb9\u5f62ABCD\u4e2d\uff0c\u5bf9\u89d2\u7ebfAC\uff0cBD\u7684\u4e2d\u70b9\u4e3aM\uff0cN\uff0cMN\u7684\u5ef6\u957f\u7ebf\u4e0eAB\u8fb9\u4ea4\u4e8eP\u70b9\uff0e\u6c42\u8bc1\uff1a\u25b3PCD\u7684\u9762\u79ef\u7b49\u4e8e\u56db\u8fb9\u5f62ABCD\u7684\u9762\u79ef\u7684\u4e00\u534a\uff0e
\u89e3\u7b54\uff1a
\u3000\u3000
\u3000\u3000\u3000
\u3000\u3000\u6240\u4ee5 \u3000\u3000\u3000\u3000x=5000(\u5143)\uff0e
\u3000\u3000
\u3000\u3000\u6240\u4ee5S\u7684\u672b\u56db\u4f4d\u6570\u5b57\u7684\u548c\u4e3a1\uff0b9\uff0b9\uff0b5=24\uff0e
\u3000\u3000
3\uff0e\u56e0\u4e3a
\u3000
\u3000 \u3000\u3000 a-b\u22650\uff0c\u5373a\u2265b\uff0e\u5373\u5f53b
\u2265a\uff1e0\u6216b\u2264a\uff1c0\u65f6\uff0c\u7b49\u5f0f\u6210\u7acb\uff0e
4\uff0e\u8bbe\u4e0a\u5761\u8def\u7a0b\u4e3ax\u5343\u7c73\uff0c\u4e0b\u5761\u8def\u7a0b\u4e3ay\u5343\u7c73\uff0e\u4f9d\u9898\u610f\u5219
\u3000\u3000
\u6709
\u7531\u2461\u67092x+y=20\uff0c\u3000\u3000 \u3000\u3000\u3000\u3000\u3000\u3000\u3000 \u2462
\u3000\u3000\u7531\u2460\u6709y=12-x\uff0e\u5c06\u4e4b\u4ee3\u5165\u2462\u5f97 2x+12-x=20\uff0e
\u3000\u3000\u6240\u4ee5\u3000\u3000\u3000\u3000x=8(\u5343\u7c73)\uff0c\u4e8e\u662fy=4(\u5343\u7c73)\uff0e
\u30005\uff0e\u7b2cn\u9879\u4e3a
\u3000\u3000\u6240\u4ee5
\u3000\u3000\u3000\u3000\u3000 \u3000\u3000\u3000
\u3000\u3000\u3000\u3000\u3000
\u3000\u3000\u3000\u3000\u3000 \u3000\u3000\u3000
\u3000\u30006\uff0e\u8bbep=30q\uff0br\uff0c0\u2264r\uff1c30\uff0e\u56e0\u4e3ap\u4e3a\u8d28\u6570\uff0c\u6545r\u22600\uff0c\u53730\uff1cr\uff1c30\uff0e\u5047\u8bber\u4e3a\u5408\u6570\uff0c\u7531\u4e8er\uff1c30\uff0c\u6240\u4ee5r\u7684\u6700\u5c0f\u8d28\u7ea6\u6570\u53ea\u53ef\u80fd\u4e3a2\uff0c3\uff0c5\uff0e\u518d\u7531p=30q\uff0br\u77e5\uff0c\u5f53r\u7684\u6700\u5c0f\u8d28\u7ea6\u6570\u4e3a2\uff0c3\uff0c5\u65f6\uff0cp\u4e0d\u662f\u8d28\u6570\uff0c\u77db\u76fe\uff0e\u6240\u4ee5\uff0cr\u4e00\u5b9a\u4e0d\u662f\u5408\u6570\uff0e
\u3000\u30007\uff0e\u8bbe
\u3000\u3000\u7531\u2460\u5f0f\u5f97(2p-1)(2q-1)=mpq\uff0c\u5373
(4-m)pq+1=2(p+q)\uff0e
\u3000\u3000\u53ef\u77e5m\uff1c4\uff0e\u7531\u2460\uff0cm\uff1e0\uff0c\u4e14\u4e3a\u6574\u6570\uff0c\u6240\u4ee5m=1\uff0c2\uff0c3\uff0e\u4e0b\u9762\u5206\u522b\u7814\u7a76p\uff0cq\uff0e
\u3000\u3000(1)\u82e5m=1\u65f6\uff0c\u6709
\u3000\u3000\u89e3\u5f97p=1\uff0cq=1\uff0c\u4e0e\u5df2\u77e5\u4e0d\u7b26\uff0c\u820d\u53bb\uff0e
\u3000\u3000(2)\u82e5m=2\u65f6\uff0c\u6709
\u3000\u3000\u56e0\u4e3a2p-1=2q\u62162q-1=2p\u90fd\u662f\u4e0d\u53ef\u80fd\u7684\uff0c\u6545m=2\u65f6\u65e0\u89e3\uff0e
\u3000\u3000(3)\u82e5m=3\u65f6\uff0c\u6709
\u3000\u3000\u89e3\u4e4b\u5f97
\u3000\u3000\u6545\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000 p\uff0bq=8\uff0e
\u3000\u30008\uff0e\u56e0\u4e3ax2+xy+y2=(x-y)2+3xy\uff0e\u7531\u9898\u8bbe\uff0c9\uff5c(x2+xy\uff0by2)\uff0c\u6240\u4ee53\uff5c(x2\uff0bxy\uff0by2)\uff0c\u4ece\u800c3\uff5c(x-y)2\uff0e\u56e0\u4e3a3\u662f\u8d28\u6570\uff0c\u65453\uff5c(x-y)\uff0e\u8fdb\u800c9\uff5c(x-y)2\uff0e\u7531\u4e0a\u5f0f\u53c8\u53ef\u77e5\uff0c9\uff5c3xy\uff0c\u65453\uff5cxy\uff0e\u6240\u4ee53\uff5cx\u62163\uff5cy\uff0e\u82e53\uff5cx\uff0c\u7ed3\u54083(x-y)\uff0c\u4fbf\u5f973\uff5cy\uff1b\u82e53\uff5cy\uff0c\u540c\u7406\u53ef\u5f97\uff0c3\uff5cx\uff0e
\u3000\u30009\uff0e\u8fde\u7ed3AN\uff0cCN\uff0c\u5982\u56fe1\uff0d103\u6240\u793a\uff0e\u56e0\u4e3aN\u662fBD\u7684\u4e2d\u70b9\uff0c\u6240\u4ee5
\u3000
\u3000\u3000\u4e0a\u8ff0\u4e24\u5f0f\u76f8\u52a0
\u3000\u3000\u53e6\u4e00\u65b9\u9762\uff0c
S\u25b3PCD=S\u25b3CND\uff0bS\u25b3CNP\uff0bS\u25b3DNP\uff0e
\u3000\u3000\u56e0\u6b64\u53ea\u9700\u8bc1\u660e
S\u25b3AND\uff1dS\u25b3CNP\uff0bS\u25b3DNP\uff0e
\u3000\u3000\u7531\u4e8eM\uff0cN\u5206\u522b\u4e3aAC\uff0cBD\u7684\u4e2d\u70b9\uff0c\u6240\u4ee5
S\u25b3CNP=S\u25b3CPM-S\u25b3CMN
\u3000 \u3000=S\u25b3APM-S\u25b3AMN
\u3000=S\u25b3ANP\uff0e
\u3000\u3000\u53c8S\u25b3DNP=S\u25b3BNP\uff0c\u6240\u4ee5
S\u25b3CNP\uff0bS\u25b3DNP=S\u25b3ANP+S\u25b3BNP=S\u25b3ANB=S\u25b3AND\uff0e
\u521d\u4e00\u5965\u6570\u7ec3\u4e60\u9898\u4e8c
1\uff0e\u5df2\u77e53x2-x=1\uff0c\u6c426x3+7x2-5x\uff0b2000\u7684\u503c\uff0e
2\uff0e\u67d0\u5546\u5e97\u51fa\u552e\u7684\u4e00\u79cd\u5546\u54c1\uff0c\u6bcf\u5929\u5356\u51fa100\u4ef6\uff0c\u6bcf\u4ef6\u53ef\u83b7\u52294\u5143\uff0c\u73b0\u5728\u4ed6\u4eec\u91c7\u7528\u63d0\u9ad8\u552e\u4ef7\u3001\u51cf\u5c11\u8fdb\u8d27\u91cf\u7684\u529e\u6cd5\u589e\u52a0\u5229\u6da6\uff0c\u6839\u636e\u7ecf\u9a8c\uff0c\u8fd9\u79cd\u5546\u54c1\u6bcf\u6da8\u4ef71\u5143\uff0c\u6bcf\u5929\u5c31\u5c11\u5356\u51fa10\u4ef6\uff0e\u8bd5\u95ee\u5c06\u6bcf\u4ef6\u5546\u54c1\u63d0\u4ef7\u591a\u5c11\u5143\uff0c\u624d\u80fd\u83b7\u5f97\u6700\u5927\u5229\u6da6\uff1f\u6700\u5927\u5229\u6da6\u662f\u591a\u5c11\u5143\uff1f
3\uff0e\u5982\u56fe1\uff0d96\u6240\u793a\uff0e\u5df2\u77e5CB\u22a5AB\uff0cCE\u5e73\u5206\u2220BCD\uff0cDE\u5e73\u5206\u2220CDA\uff0c\u22201\uff0b\u22202=90\u00b0\uff0e\u6c42\u8bc1\uff1aDA\u22a5AB\uff0e
4\uff0e\u5df2\u77e5\u65b9\u7a0b\u7ec4
\u7684\u89e3\u5e94\u4e3a
\u4e00\u4e2a\u5b66\u751f\u89e3\u9898\u65f6\u628ac\u6284\u9519\u4e86\uff0c\u56e0\u6b64\u5f97\u5230\u7684\u89e3\u4e3a
\u6c42a2\uff0bb2\uff0bc2\u7684\u503c\uff0e
5\uff0e\u6c42\u65b9\u7a0b\uff5cxy\uff5c-\uff5c2x\uff5c+\uff5cy\uff5c=4\u7684\u6574\u6570\u89e3\uff0e
6\uff0e\u738b\u5e73\u4e70\u4e86\u5e74\u5229\u73877.11\uff05\u7684\u4e09\u5e74\u671f\u548c\u5e74\u5229\u7387\u4e3a7.86\uff05\u7684\u4e94\u5e74\u671f\u56fd\u5e93\u5238\u517135000\u5143\uff0c\u82e5\u4e09\u5e74\u671f\u56fd\u5e93\u5238\u5230\u671f\u540e\uff0c\u628a\u672c\u606f\u518d\u8fde\u7eed\u5b58\u4e24\u4e2a\u4e00\u5e74\u671f\u7684\u5b9a\u671f\u50a8\u84c4\uff0c\u4e94\u5e74\u540e\u4e0e\u4e94\u5e74\u671f\u56fd\u5e93\u5238\u7684\u672c\u606f\u603b\u548c\u4e3a47761\u5143\uff0c\u95ee\u738b\u5e73\u4e70\u4e09\u5e74\u671f\u4e0e\u4e94\u5e74\u671f\u56fd\u5e93\u5238\u5404\u591a\u5c11\uff1f(\u4e00\u5e74\u671f\u5b9a\u671f\u50a8\u84c4\u5e74\u5229\u7387\u4e3a5.22\uff05)
7\uff0e\u5bf9k\uff0cm\u7684\u54ea\u4e9b\u503c\uff0c\u65b9\u7a0b\u7ec4 \u81f3\u5c11\u6709\u4e00\u7ec4\u89e3\uff1f
8\uff0e\u6c42\u4e0d\u5b9a\u65b9\u7a0b3x\uff0b4y\uff0b13z=57\u7684\u6574\u6570\u89e3\uff0e
9\uff0e\u5c0f\u738b\u75285\u5143\u94b1\u4e7040\u4e2a\u6c34\u679c\u62db\u5f85\u4e94\u4f4d\u670b\u53cb\uff0e\u6c34\u679c\u6709\u82f9\u679c\u3001\u68a8\u5b50\u548c\u674f\u5b50\u4e09\u79cd\uff0c\u6bcf\u4e2a\u7684\u4ef7\u683c\u5206\u522b\u4e3a20\u5206\u30018\u5206\u30013\u5206\uff0e\u5c0f\u738b\u5e0c\u671b\u4ed6\u548c\u4e94\u4f4d\u670b\u53cb\u90fd\u80fd\u5206\u5230\u82f9\u679c\uff0c\u5e76\u4e14\u5404\u4eba\u5f97\u5230\u7684\u82f9\u679c\u6570\u76ee\u4e92\u4e0d\u76f8\u540c\uff0c\u8bd5\u95ee\u4ed6\u80fd\u5426\u5b9e\u73b0\u81ea\u5df1\u7684\u613f\u671b\uff1f
\u89e3\u7b54\uff1a
1\uff0e\u539f\u5f0f=2x(3x2-x)+3(3x2-x)-2x+2000 =2x\u00d71\uff0b3\u00d71-2x+2000=2003\uff0e
2\uff0e\u539f\u6765\u6bcf\u5929\u53ef\u83b7\u52294\u00d7100\u5143\uff0c\u82e5\u6bcf\u4ef6\u63d0\u4ef7x\u5143\uff0c\u5219\u6bcf\u4ef6\u5546\u54c1\u83b7\u5229(4\uff0bx)\u5143\uff0c\u4f46\u6bcf\u5929\u5356\u51fa\u4e3a(100-10x)\u4ef6\uff0e\u5982\u679c\u8bbe\u6bcf\u5929\u83b7\u5229\u4e3ay\u5143\uff0c\u5219
y \uff1d(4\uff0bx)(100-10x)=400\uff0b100x-40x-10x2=-10(x2-6x\uff0b9)\uff0b90\uff0b400=-10(x-3)2\uff0b490\uff0e
\u6240\u4ee5\u5f53x=3\u65f6\uff0cy\u6700\u5927=490\u5143\uff0c\u5373\u6bcf\u4ef6\u63d0\u4ef73\u5143\uff0c\u6bcf\u5929\u83b7\u5229\u6700\u5927\uff0c\u4e3a490\u5143\uff0e
3\uff0e\u56e0\u4e3aCE\u5e73\u5206\u2220BCD\uff0cDE\u5e73\u5206\u2220ADC\u53ca\u22201\uff0b\u22202=90\u00b0(\u56fe1\uff0d104)\uff0c\u6240\u4ee5
\u2220ADC\uff0b\u2220BCD=180\u00b0\uff0c
\u3000\u3000\u6240\u4ee5 \u3000\u3000AD\u2225BC\uff0e\u2460\u3000\u3000\u53c8\u56e0\u4e3a\u3000 AB\u22a5BC\uff0c\u2461
\u3000\u3000\u7531\u2460\uff0c\u2461 AB\u22a5AD\uff0e
4\uff0e\u4f9d\u9898\u610f\u6709
\u3000\u3000\u3000\u3000
\u3000\u3000\u6240\u4ee5\u3000a2+b2+c2=34\uff0e
5\uff0e\uff5cx\uff5c\uff5cy\uff5c-2\uff5cx\uff5c+\uff5cy\uff5c=4\uff0c\u5373\uff5cx\uff5c(\uff5cy\uff5c-2)+(\uff5cy\uff5c-2)=2\uff0c
\u3000\u3000\u6240\u4ee5(\uff5cx\uff5c+1)(\uff5cy\uff5c-2)=2\uff0e
\u3000\u3000\u56e0\u4e3a\uff5cx\uff5c\uff0b1\uff1e0\uff0c\u4e14x\uff0cy\u90fd\u662f\u6574\u6570\uff0c\u6240\u4ee5
\u3000
\u3000\u6240\u4ee5\u6709
\u3000\u3000
6\uff0e\u8bbe\u738b\u5e73\u4e70\u4e09\u5e74\u671f\u548c\u4e94\u5e74\u671f\u56fd\u5e93\u5238\u5206\u522b\u4e3ax\u5143\u548cy\u5143\uff0c\u5219
\u3000\u3000\u56e0\u4e3a\u3000y=35000-x\uff0c
\u3000\u3000\u6240\u4ee5 x(1\uff0b0.0711\u00d73)(1\uff0b0.0522)2+(35000-x)(1+0.0786\u00d75)=47761\uff0c
\u3000\u3000\u6240\u4ee5 1.3433x\uff0b48755-1.393x=47761\uff0c
\u3000\u3000\u6240\u4ee5 0.0497x=994\uff0c
\u3000\u3000\u6240\u4ee5 x=20000(\u5143)\uff0cy=35000-20000=15000(\u5143)\uff0e
7\uff0e\u56e0\u4e3a (k\uff0d1)x\uff1dm-4\uff0c \u2460
\u3000\u3000
m\u4e3a\u4e00\u5207\u5b9e\u6570\u65f6\uff0c\u65b9\u7a0b\u7ec4\u6709\u552f\u4e00\u89e3\uff0e\u5f53k=1\uff0cm=4\u65f6\uff0c\u2460\u7684\u89e3\u4e3a\u4e00\u5207\u5b9e\u6570\uff0c\u6240\u4ee5\u65b9\u7a0b\u7ec4\u6709\u65e0\u7a77\u591a\u7ec4\u89e3\uff0e
\u5f53k=1\uff0cm\u22604\u65f6\uff0c\u2460\u65e0\u89e3\uff0e
\u3000\u3000\u6240\u4ee5\uff0ck\u22601\uff0cm\u4e3a\u4efb\u4f55\u5b9e\u6570\uff0c\u6216k=1\uff0cm=4\u65f6\uff0c\u65b9\u7a0b\u7ec4\u81f3\u5c11\u6709\u4e00\u7ec4\u89e3\uff0e
8\uff0e\u7531\u9898\u8bbe\u65b9\u7a0b\u5f97
z\uff1d3m-y\uff0e
\u3000\u3000
x=19-y-4(3m-y)-m =19+3y-13m\uff0e
\u539f\u65b9\u7a0b\u7684\u901a\u89e3\u4e3a \u3000\u3000\u5176\u4e2dn\uff0cm\u53d6\u4efb\u610f\u6574\u6570\u503c\uff0e
9\uff0e\u8bbe\u82f9\u679c\u3001\u68a8\u5b50\u3001\u674f\u5b50\u5206\u522b\u4e70\u4e86x\uff0cy\uff0cz\u4e2a\uff0c\u5219
\u3000\u3000\u6d88\u53bby\uff0c\u5f9712x-5z=180\uff0e\u5b83\u7684\u89e3\u662fx=90-5t\uff0cz=180-12t\uff0e
\u3000\u3000\u4ee3\u5165\u539f\u65b9\u7a0b\uff0c\u5f97y=-230\uff0b17t\uff0e\u6545x=90-5t\uff0cy=-230+17t\uff0cz=180-12t\uff0e
\u3000\u3000
x=20\uff0cy=8\uff0cz=12\uff0e
\u3000\u3000
\u56e0\u6b64\uff0c\u5c0f\u738b\u7684\u613f\u671b\u4e0d\u80fd\u5b9e\u73b0\uff0c\u56e0\u4e3a\u6309\u4ed6\u7684\u8981\u6c42\uff0c\u82f9\u679c\u81f3\u5c11\u8981\u67091\uff0b2\uff0b3+4\uff0b5\uff0b6=21\uff1e20\u4e2a\uff0e
\u521d\u4e00\u5965\u6570\u7ec3\u4e60\u9898\u4e09
1\uff0e\u89e3\u5173\u4e8ex\u7684\u65b9\u7a0b
2\uff0e\u89e3\u65b9\u7a0b
\u5176\u4e2da\uff0bb\uff0bc\u22600\uff0e
3\uff0e\u6c42(8x3-6x2+4x-7)3(2x5-3)2\u7684\u5c55\u5f00\u5f0f\u4e2d\u5404\u9879\u7cfb\u6570\u4e4b\u548c\uff0e
4\uff0e\u6db2\u6001\u519c\u836f\u4e00\u6876\uff0c\u5012\u51fa8\u5347\u540e\u7528\u6c34\u704c\u6ee1\uff0c\u518d\u5012\u51fa\u6df7\u5408\u6eb6\u6db24\u5347\uff0c\u518d\u7528\u6c34\u704c\u6ee1\uff0c\u8fd9\u65f6\u519c\u836f\u7684\u6d53\u5ea6\u4e3a72\uff05\uff0c\u6c42\u6876\u7684\u5bb9\u91cf\uff0e
5\uff0e\u6ee1\u8db3[-1.77x]=-2x\u7684\u81ea\u7136\u6570x\u5171\u6709\u51e0\u4e2a\uff1f\u8fd9\u91cc[x]\u8868\u793a\u4e0d\u8d85\u8fc7x\u7684\u6700\u5927\u6574\u6570\uff0c\u4f8b\u5982[-5.6]=-6\uff0c[3]=3\uff0e
6\uff0e\u8bbeP\u662f\u25b3ABC\u5185\u4e00\u70b9\uff0e\u6c42\uff1aP\u5230\u25b3ABC\u4e09\u9876\u70b9\u7684\u8ddd\u79bb\u548c\u4e0e\u4e09\u89d2\u5f62\u5468\u957f\u4e4b\u6bd4\u7684\u53d6\u503c\u8303\u56f4\uff0e
7\uff0e\u7532\u4e59\u4e24\u4eba\u540c\u65f6\u4ece\u4e1c\u897f\u4e24\u7ad9\u76f8\u5411\u6b65\u884c\uff0c\u76f8\u4f1a\u65f6\uff0c\u7532\u6bd4\u4e59\u591a\u884c24\u5343\u7c73\uff0c\u7532\u7ecf\u8fc79\u5c0f\u65f6\u5230\u4e1c\u7ad9\uff0c\u4e59\u7ecf\u8fc716\u5c0f\u65f6\u5230\u897f\u7ad9\uff0c\u6c42\u4e24\u7ad9\u8ddd\u79bb\uff0e
8\uff0e\u9ed1\u677f\u4e0a\u5199\u7740\u4e09\u4e2a\u6570\uff0c\u4efb\u610f\u64e6\u53bb\u5176\u4e2d\u4e00\u4e2a\uff0c\u5c06\u5b83\u6539\u5199\u6210\u5176\u4ed6\u4e24\u6570\u7684\u548c\u51cf1\uff0c\u8fd9\u6837\u7ee7\u7eed\u4e0b\u53bb\uff0c\u6700\u540e\u5f97\u523019\uff0c1997\uff0c1999\uff0c\u95ee\u539f\u6765\u7684\u4e09\u4e2a\u6570\u80fd\u5426\u662f2\uff0c2\uff0c2\uff1f
9\uff0e\u8bbe\u6709n\u4e2a\u5b9e\u6570x1\uff0cx2\uff0c\u2026\uff0cxn\uff0c\u5176\u4e2d\u6bcf\u4e00\u4e2a\u4e0d\u662f+1\u5c31\u662f-1\uff0c\u4e14
\u6c42\u8bc1\uff1an\u662f4\u7684\u500d\u6570\uff0e
\u89e3\u7b54\uff1a
1\uff0e\u5316\u7b80\u5f976(a-1)x=3-6b+4ab\uff0c\u5f53a\u22601\u65f6\uff0c
\u3000\u3000
\u3000\u3000 \u3000
2\uff0e\u5c06\u539f\u65b9\u7a0b\u53d8\u5f62\u4e3a
\u3000\u3000\u7531\u6b64\u53ef\u89e3\u5f97x=a\uff0bb+c\uff0e
3\uff0e\u5f53x=1\u65f6\uff0c(8-6+4-7)3(2-1)2=1\uff0e\u5373\u6240\u6c42\u5c55\u5f00\u5f0f\u4e2d\u5404\u9879\u7cfb\u6570\u4e4b\u548c\u4e3a1\uff0e
\u3000\u3000
\u4f9d\u9898\u610f\u5f97
\u3000
\u3000\u3000\u53bb\u5206\u6bcd\u3001\u5316\u7b80\u5f977x2-300x+800=0\uff0c\u53737x-20)(x-40)=0\uff0c
\u3000\u3000
\u3000\u3000
\u3000\u30005\uff0e\u82e5n\u4e3a\u6574\u6570\uff0c\u6709[n\uff0bx]=n\uff0b[x]\uff0c\u6240\u4ee5[-1.77x]=[-2x\uff0b0.23x]=-2x+[0.23x]\uff0e
\u3000\u3000\u7531\u5df2\u77e5[-1.77x]=-2x\uff0c\u6240\u4ee5-2x=-2x+[0.23x]\uff0c\u3000\u3000\u6240\u4ee5 [0.23x]=0\uff0e
\u3000\u3000\u53c8\u56e0\u4e3ax\u4e3a\u81ea\u7136\u6570\uff0c\u6240\u4ee50\u22640.23x\uff1c1\uff0c\u7ecf\u8bd5\u9a8c\uff0c\u53ef\u77e5x\u53ef\u53d61\uff0c2\uff0c3\uff0c4\uff0c\u51714\u4e2a\uff0e
\u3000\u30006\uff0e\u5982\u56fe1\uff0d105\u6240\u793a\uff0e\u5728\u25b3PBC\u4e2d\u6709BC\uff1cPB\uff0bPC\uff0c \u2460
\u3000\u3000\u5ef6\u957fBP\u4ea4AC\u4e8eD\uff0e\u6613\u8bc1PB\uff0bPC\uff1cAB\uff0bAC\uff0e \u2461
\u3000\u3000\u7531\u2460\uff0c\u2461 BC\uff1cPB\uff0bPC\uff1cAB+AC\uff0c \u2462
\u3000\u3000\u540c\u7406 AC\uff1cPA\uff0bPC\uff1cAC\uff0bBC\uff0c \u2463
AB\uff1cPA\uff0bPB\uff1cAC\uff0bAB\uff0e \u2464
\u3000\u3000\u2462\uff0b\u2463\uff0b\u2464\u5f97AB\uff0bBC\uff0bCA\uff1c2(PA\uff0bPB\uff0bPC)\uff1c2(AB\uff0bBC\uff0bCA)\uff0e
\u3000\u3000
\u6240\u4ee5
7\uff0e\u8bbe\u7532\u6b65\u884c\u901f\u5ea6\u4e3ax\u5343\u7c73/\u5c0f\u65f6\uff0c\u4e59\u6b65\u884c\u901f\u5ea6\u4e3ay\u5343\u7c73/\u5c0f\u65f6\uff0c\u5219\u6240\u6c42\u8ddd\u79bb\u4e3a(9x+16y)\u5343
\u7c73\uff0e\u4f9d\u9898\u610f\u5f97
\u3000\u3000
\u7531\u2460\u5f9716y2=9x2\uff0c \u2462
\u3000\u3000\u7531\u2461\u5f9716y=24\uff0b9x\uff0c\u5c06\u4e4b\u4ee3\u5165\u2462\u5f97
\u3000\u3000\u5373 (24\uff0b9x)2=(12x)2\uff0e\u89e3\u4e4b\u5f97
\u3000\u3000\u4e8e\u662f
\u3000\u3000\u6240\u4ee5\u4e24\u7ad9\u8ddd\u79bb\u4e3a9\u00d78\uff0b16\u00d76=168(\u5343\u7c73)\uff0e
\u3000\u30008\uff0e\u7b54\u6848\u662f\u5426\u5b9a\u7684\uff0e\u5bf9\u4e8e2\uff0c2\uff0c2\uff0c\u9996\u5148\u53d8\u4e3a2\uff0c2\uff0c3\uff0c\u5176\u4e2d\u4e24\u4e2a\u5076\u6570\uff0c\u4e00\u4e2a\u5947\u6570\uff0e\u4ee5\u540e\u65e0\u8bba\u6539\u53d8\u591a\u5c11\u6b21\uff0c\u603b\u662f\u4e24\u4e2a\u5076\u6570\uff0c\u4e00\u4e2a\u5947\u6570(\u6570\u503c\u53ef\u4ee5\u6539\u53d8\uff0c\u4f46\u5947\u5076\u6027\u4e0d\u53d8)\uff0c\u6240\u4ee5\uff0c\u4e0d\u53ef\u80fd\u53d8\u4e3a19\uff0c1997\uff0c1999\u8fd9\u4e09\u4e2a\u5947\u6570\uff0e
\u3000\u3000 \u3000\u3002
\u3000\u3000
\u3000\u3000\u53c8\u56e0\u4e3a
\u3000\u3000\u6240\u4ee5\uff0ck\u662f\u5076\u6570\uff0c\u4ece\u800cn\u662f4\u7684\u500d\u6570\uff0e
\u521d\u4e00\u5965\u6570\u7ec3\u4e60\u9898\u56db
1\uff0e\u5df2\u77e5a\uff0cb\uff0cc\uff0cd\u90fd\u662f\u6b63\u6570\uff0c\u5e76\u4e14a\uff0bd\uff1ca\uff0cc\uff0bd\uff1cb\uff0e
\u6c42\u8bc1\uff1aac\uff0bbd\uff1cab\uff0e
2\uff0e\u5df2\u77e5\u7532\u79cd\u5546\u54c1\u7684\u539f\u4ef7\u662f\u4e59\u79cd\u5546\u54c1\u539f\u4ef7\u76841.5\u500d\uff0e\u56e0\u5e02\u573a\u53d8\u5316\uff0c\u4e59\u79cd\u5546\u54c1\u63d0\u4ef7\u7684\u767e\u5206\u6570\u662f\u7532\u79cd\u5546\u54c1\u964d\u4ef7\u7684\u767e\u5206\u6570\u76842\u500d\uff0e\u8c03\u4ef7\u540e\uff0c\u7532\u4e59\u4e24\u79cd\u5546\u54c1\u5355\u4ef7\u4e4b\u548c\u6bd4\u539f\u5355\u4ef7\u4e4b\u548c\u63d0\u9ad8\u4e862\uff05\uff0c\u6c42\u4e59\u79cd\u5546\u54c1\u63d0\u4ef7\u7684\u767e\u5206\u6570\uff0e
3\uff0e\u5728\u9510\u89d2\u4e09\u89d2\u5f62ABC\u4e2d\uff0c\u4e09\u4e2a\u5185\u89d2\u90fd\u662f\u8d28\u6570\uff0e\u6c42\u4e09\u89d2\u5f62\u7684\u4e09\u4e2a\u5185\u89d2\uff0e
4\uff0e\u67d0\u5de5\u5382\u4e09\u5e74\u8ba1\u5212\u4e2d\uff0c\u6bcf\u5e74\u4ea7\u91cf\u9012\u589e\u76f8\u540c\uff0c\u82e5\u7b2c\u4e09\u5e74\u6bd4\u539f\u8ba1\u5212\u591a\u751f\u4ea71000\u53f0\uff0c\u90a3\u4e48\u6bcf\u5e74\u6bd4\u4e0a\u4e00\u5e74\u589e\u957f\u7684\u767e\u5206\u6570\u5c31\u76f8\u540c\uff0c\u800c\u4e14\u7b2c\u4e09\u5e74\u7684\u4ea7\u91cf\u6070\u4e3a\u539f\u8ba1\u5212\u4e09\u5e74\u603b\u4ea7\u91cf\u7684\u4e00\u534a\uff0c\u6c42\u539f\u8ba1\u5212\u6bcf\u5e74\u5404\u751f\u4ea7\u591a\u5c11\u53f0\uff1f
\u3000\u3000
\u3000\u3000\u3000 z=\uff5cx+y\uff5c+\uff5cy+1\uff5c+\uff5cx-2y+4\uff5c\uff0c
\u6c42z\u7684\u6700\u5927\u503c\u4e0e\u6700\u5c0f\u503c\uff0e
8\uff0e\u4ece1\u5230500\u7684\u81ea\u7136\u6570\u4e2d\uff0c\u6709\u591a\u5c11\u4e2a\u6570\u51fa\u73b01\u62165\uff1f
9\uff0e\u4ece19\uff0c20\uff0c21\uff0c\u2026\uff0c98\u8fd980\u4e2a\u6570\u4e2d\uff0c\u9009\u53d6\u4e24\u4e2a\u4e0d\u540c\u7684\u6570\uff0c\u4f7f\u5b83\u4eec\u7684\u548c\u4e3a\u5076\u6570\u7684\u9009\u6cd5\u6709\u591a\u5c11\u79cd\uff1f
\u89e3\u7b54\uff1a
\u3000\u30001\uff0e\u7531\u5bf9\u79f0\u6027\uff0c\u4e0d\u59a8\u8bbeb\u2264a\uff0c\u5219ac\uff0bbd\u2264ac\uff0bad=a(c\uff0bd)\uff1cab\uff0e
\u3000\u30002\uff0e\u8bbe\u4e59\u79cd\u5546\u54c1\u539f\u5355\u4ef7\u4e3ax\u5143\uff0c\u5219\u7532\u79cd\u5546\u54c1\u7684\u539f\u5355\u4ef7\u4e3a1.5x\u5143\uff0e\u8bbe\u7532\u5546\u54c1\u964d\u4ef7y\uff05\uff0c\u5219\u4e59\u5546\u54c1\u63d0\u4ef72y\uff05\uff0e\u4f9d\u9898\u610f\u67091.5x(1-y\uff05)+x(1\uff0b2y\uff05)=(1.5x\uff0bx)(1\uff0b2\uff05)\uff0c
\u3000\u3000\u5316\u7b80\u5f971.5-1.5y+1+2y=2.5\u00d71.02\uff0e\u3000\u3000\u6240\u4ee5y=0.1=10\uff05\uff0c
\u3000\u3000\u6240\u4ee5\u7532\u79cd\u5546\u54c1\u964d\u4ef710\uff05\uff0c\u4e59\u79cd\u5546\u54c1\u63d0\u4ef720\uff05\uff0e
\u3000\u30003\uff0e\u56e0\u4e3a\u2220A+\u2220B\uff0b\u2220C=180\u00b0\uff0c\u6240\u4ee5\u2220A\uff0c\u2220B\uff0c\u2220C\u4e2d\u5fc5\u6709\u5076\u6570\uff0e\u552f\u4e00\u7684\u5076\u8d28\u6570\u4e3a2\uff0c\u6240\u4ee5\u2220C=2\u00b0\uff0e\u6240\u4ee5\u2220A+\u2220B=178\u00b0\uff0e\u7531\u4e8e\u9700\u2220A\uff0c\u2220B\u4e3a\u5947\u8d28\u6570\uff0c\u8fd9\u6837\u7684\u89e3\u4e0d\u552f\u4e00\uff0c\u5982
\u3000\u30004\uff0e\u8bbe\u6bcf\u5e74\u589e\u4ea7d\u5343\u53f0\uff0c\u5219\u8fd9\u4e09\u5e74\u7684\u6bcf\u4e00\u5e74\u8ba1\u5212\u7684\u5343\u53f0\u6570\u5206\u522b\u4e3aa-d\uff0ca\uff0ca\uff0bd\u4f9d\u9898\u610f\u6709
\u3000\u3000 \u89e3\u4e4b\u5f97
\u3000\u3000\u6240\u4ee5\u4e09\u5e74\u4ea7\u91cf\u5206\u522b\u662f4\u5343\u53f0\u30016\u5343\u53f0\u30018\u5343\u53f0\uff0e
\u3000\u3000
\u4e0d\u7b49\u5f0f\u7ec4\uff1a
\u3000\u3000 \u3000
\u3000\u3000\u3000\u3000\u3000
\u3000\u3000 \u6240\u4ee5 x\uff1e2\uff1b
\u3000 \u3000 \u3000
\u3000\u3000\u3000\u3000
\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000 \u3000\u3000\u3000\u65e0\u89e3\uff0e
\u3000\u3000\u3000\u3000
\u3000\u3000
6\uff0e\u8bbe\u539f\u5f0f\u4e3aS\uff0c\u5219
\u3000\u3000 \u6240\u4ee5
\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000
\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000 \u3000\u3000
\u3000\u3000
\u53c8
\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\uff1c0.112-0.001=0.111\uff0e
\u3000\u3000\u56e0\u4e3a\u3000\u3000\u3000\u3000\u3000\u3000
\u6240\u4ee5 =0.105\uff0e
\u3000\u30007\uff0e\u7531\uff5cx\uff5c\u22641\uff0c\uff5cy\uff5c\u22641\u5f97 -1\u2264x\u22641\uff0c-1\u2264y\u22641\uff0e
\u3000\u3000\u6240\u4ee5y\uff0b1\u22650\uff0cx-2y+4\u2265-1-2\u00d71+4=1\uff1e0\uff0e
\u3000\u3000\u6240\u4ee5z=\uff5cx+y\uff5c+(y+1)+(x-2y+4)=\uff5cx+y\uff5c\uff0bx-y\uff0b5\uff0e
\u3000\u3000(1)\u5f53x+y+\u22640\u65f6\uff0cz=-(x+y)\uff0bx-y+5=5-2y\uff0e
\u3000\u3000\u7531-1\u2264y\u22641\u53ef\u63a8\u5f973\u22645-2y\u22647\uff0c\u6240\u4ee5\u8fd9\u65f6\uff0cz\u7684\u6700\u5c0f\u503c\u4e3a3\u3001\u6700\u5927\u503c\u4e3a7\uff0e
\u3000\u3000(2)\u5f53x+y\uff1e0\u65f6\uff0cz=(x\uff0by)+(x-y+5)=2x+5\uff0e
\u3000\u3000\u7531-1\u2264x\u22641\u53ca\u53ef\u63a8\u5f973\u22642x+5\u22647\uff0c\u6240\u4ee5\u8fd9\u65f6z\u7684\u6700\u5c0f\u503c\u4e3a3\u3001\u6700\u5927\u503c\u4e3a7\uff0e
\u3000\u3000\u7531(1)\uff0c(2)\u77e5\uff0cz\u7684\u6700\u5c0f\u503c\u4e3a3\uff0c\u6700\u5927\u503c\u4e3a7\uff0e
\u3000\u30008\uff0e\u767e\u4f4d\u4e0a\u6570\u5b57\u53ea\u662f1\u7684\u6570\u6709100\uff0c101\uff0c\u2026\uff0c199\u5171100\u4e2a\u6570\uff1b\u5341\u4f4d\u4e0a\u6570\u5b57\u662f1\u62165\u7684(\u5176\u767e\u4f4d\u4e0a\u4e0d\u4e3a1)\u67092\u00d73\u00d710=60(\u4e2a)\uff0e\u4e2a\u4f4d\u4e0a\u51fa\u73b01\u62165\u7684(\u5176\u767e\u4f4d\u548c\u5341\u4f4d\u4e0a\u90fd\u4e0d\u662f1\u62165)\u67092\u00d73\u00d78=48(\u4e2a)\uff0e\u518d\u52a0\u4e0a500\u8fd9\u4e2a\u6570\uff0c\u6240\u4ee5\uff0c\u6ee1\u8db3\u9898\u610f\u7684\u6570\u5171\u6709
100+60+48+1=209(\u4e2a)\uff0e
\u3000\u30009\uff0e\u4ece19\u523098\u5171\u8ba180\u4e2a\u4e0d\u540c\u7684\u6574\u6570\uff0c\u5176\u4e2d\u670940\u4e2a\u5947\u6570\uff0c40\u4e2a\u5076\u6570\uff0e\u7b2c\u4e00\u4e2a\u6570\u53ef\u4ee5\u4efb\u9009\uff0c\u670980\u79cd\u9009\u6cd5\uff0e\u7b2c\u4e00\u4e2a\u6570\u5982\u679c\u662f\u5076\u6570\uff0c\u7b2c\u4e8c\u4e2a\u6570\u53ea\u80fd\u5728\u5176\u4ed6\u768439\u4e2a\u5076\u6570\u4e2d\u9009\u53d6\uff0c\u670939\u79cd\u9009\u6cd5\uff0e\u540c\u7406\uff0c\u7b2c\u4e00\u4e2a\u6570\u5982\u679c\u662f\u5947\u6570\uff0c\u7b2c\u4e8c\u4e2a\u6570\u4e5f\u670939\u79cd\u9009\u6cd5\uff0c\u4f46\u7b2c\u4e00\u4e2a\u6570\u4e3aa\uff0c\u7b2c\u4e8c\u4e2a\u4e3ab\u4e0e\u7b2c\u4e00\u4e2a\u4e3ab\uff0c\u7b2c\u4e8c\u4e2a\u4e3aa\u662f\u540c\u4e00\u79cd\u9009\u6cd5\uff0c\u6240\u4ee5\u603b\u7684\u9009\u6cd5\u5e94\u8be5\u6298\u534a\uff0c\u5373\u5171\u6709
\u3000\u3000\u79cd\u9009\u6cd5\uff0e
\u521d\u4e00\u5965\u6570\u7ec3\u4e60\u9898\u4e94
1\uff0e\u4e00\u9879\u4efb\u52a1\uff0c\u82e5\u6bcf\u5929\u8d85\u989d2\u4ef6\uff0c\u53ef\u63d0\u524d\u8ba1\u52123\u5929\u5b8c\u5de5\uff0c\u82e5\u6bcf\u5929\u8d85\u989d4\u4ef6\uff0c\u53ef\u63d0\u524d5\u5929\u5b8c\u5de5\uff0c\u8bd5\u6c42\u5de5\u4f5c\u7684\u4ef6\u6570\u548c\u539f\u8ba1\u5212\u5b8c\u5de5\u6240\u7528\u7684\u65f6\u95f4\uff0e
\u3000\u30002\uff0e\u5df2\u77e5\u4e24\u5217\u6570
2\uff0c5\uff0c8\uff0c11\uff0c14\uff0c17\uff0c\u2026\uff0c2\uff0b(200-1)\u00d73\uff0c
5\uff0c9\uff0c13\uff0c17\uff0c21\uff0c25\uff0c\u2026\uff0c5\uff0b(200-1)\u00d74\uff0c
\u3000\u3000\u5b83\u4eec\u90fd\u6709200\u9879\uff0c\u95ee\u8fd9\u4e24\u5217\u6570\u4e2d\u76f8\u540c\u7684\u9879\u6570\u6709\u591a\u5c11\u9879\uff1f
\u3000\u30003\uff0e\u6c42x3-3px\uff0b2q\u80fd\u88abx2\uff0b2ax\uff0ba2\u6574\u9664\u7684\u6761\u4ef6\uff0e
\u3000\u3000
4\uff0e\u8bc1\u660e\u4e0d\u7b49\u5f0f
\u3000\u30005\uff0e\u82e5\u4e24\u4e2a\u4e09\u89d2\u5f62\u6709\u4e00\u4e2a\u89d2\u5bf9\u5e94\u76f8\u7b49\uff0e\u6c42\u8bc1\uff1a\u8fd9\u4e24\u4e2a\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u4e4b\u6bd4\u7b49\u4e8e\u5939\u6b64\u89d2\u7684\u4e24\u8fb9\u4e58\u79ef\u4e4b\u6bd4\uff0e
\u3000\u30006\uff0e\u5df2\u77e5(x-1)2\u9664\u591a\u9879\u5f0fx4\uff0bax3-3x2\uff0bbx\uff0b3\u6240\u5f97\u7684\u4f59\u5f0f\u662fx+1\uff0c\u8bd5\u6c42a\uff0cb\u7684\u503c\uff0e
\u3000\u30007\uff0e\u4eca\u6709\u957f\u5ea6\u5206\u522b\u4e3a1\uff0c2\uff0c3\uff0c\u2026\uff0c9\u7684\u7ebf\u6bb5\u5404\u4e00\u6761\uff0c\u53ef\u7528\u591a\u5c11\u79cd\u4e0d\u540c\u65b9\u6cd5\uff0c\u4ece\u4e2d\u9009\u7528\u82e5\u5e72\u6761\uff0c\u4f7f\u5b83\u4eec\u80fd\u56f4\u6210\u4e00\u4e2a\u6b63\u65b9\u5f62\uff1f
\u3000\u30008\uff0e\u5e73\u9762\u4e0a\u670910\u6761\u76f4\u7ebf\uff0c\u5176\u4e2d4\u6761\u662f\u4e92\u76f8\u5e73\u884c\u7684\uff0e\u95ee\uff1a\u8fd910\u6761\u76f4\u7ebf\u6700\u591a\u80fd\u628a\u5e73\u9762\u5206\u6210\u591a\u5c11\u90e8\u5206\uff1f
\u3000\u30009\uff0e\u8fb9\u957f\u4e3a\u6574\u6570\uff0c\u5468\u957f\u4e3a15\u7684\u4e09\u89d2\u5f62\u6709\u591a\u5c11\u4e2a\uff1f
\u89e3\u7b54\uff1a
\u3000\u30001\uff0e\u8bbe\u6bcf\u5929\u8ba1\u5212\u5b8c\u6210x\u4ef6\uff0c\u8ba1\u5212\u5b8c\u5de5\u7528\u7684\u65f6\u95f4\u4e3ay\u5929\uff0c\u5219\u603b\u4ef6\u6570\u4e3axy\u4ef6\uff0e\u4f9d\u9898\u610f\u5f97
\u3000\u3000\u3000\u3000\u3000
\u3000\u3000 \u89e3\u4e4b\u5f97
\u3000\u3000\u603b\u4ef6\u6570xy=8\u00d715=120(\u4ef6)\uff0c\u5373\u8ba1\u5212\u752815\u5929\u5b8c\u5de5\uff0c\u5de5\u4f5c\u7684\u4ef6\u6570\u4e3a120\u4ef6\uff0e
\u3000\u30002\uff0e\u7b2c\u4e00\u5217\u6570\u4e2d\u7b2cn\u9879\u8868\u793a\u4e3a2\uff0b(n-1)\u00d73\uff0c\u7b2c\u4e8c\u5217\u6570\u4e2d\u7b2cm\u9879\u8868\u793a\u4e3a5\uff0b(m-1)\u00d74\uff0e\u8981\u4f7f2\uff0b(n-1)\u00d73\uff1d5+(m-1)\u00d74\uff0e
\u3000\u3000\u6240\u4ee5
\u56e0\u4e3a1\u2264n\u2264200\uff0c\u6240\u4ee5
\u3000\u3000 \u3000\u3000\u3000
\u3000\u3000\u6240\u4ee5\u3000\u3000m=1\uff0c4\uff0c7\uff0c10\uff0c\u2026\uff0c148\u517150\u9879\uff0e
3\uff0e
\u3000\u3000\u3000\u3000\u3000
x3-3px+2q\u88abx2\uff0b2ax\uff0ba2\u9664\u7684\u4f59\u5f0f\u4e3a3(a2-p)x\uff0b2(q\uff0ba3)\uff0c
\u3000\u3000\u6240\u4ee5\u6240\u6c42\u7684\u6761\u4ef6\u5e94\u4e3a
\u3000\u3000
4\uff0e\u4ee4
\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000
\u3000\u3000\u56e0\u4e3a
\u6240\u4ee5
\u3000\u3000 \u3000\u3000\u3000
\u3000\u30005\uff0e\u5982\u56fe1-106(a)\uff0c(b)\u6240\u793a\uff0e\u25b3ABC\u4e0e\u25b3FDE\u4e2d\uff0c
\u2220A=\u2220D\uff0e\u73b0\u5c06\u25b3DEF\u79fb\u81f3\u25b3ABC\u4e2d\uff0c\u4f7f\u2220A\u4e0e\u2220D\u91cd\u5408\uff0cDE=AE\uff07\uff0cDF=AF\uff07\uff0c\u8fde\u7ed3F\uff07B\uff0e\u6b64\u65f6\uff0c\u25b3AE\uff07F\uff07\u7684\u9762\u79ef\u7b49\u4e8e\u4e09\u89d2\u5f62DEF\u7684\u9762\u79ef\uff0e
\u3000\u3000\u2460\u00d7\u2461\u5f97
\u3000\u3000\u3000\u3000
\u3000\u30006\uff0e\u4e0d\u59a8\u8bbe\u5546\u5f0f\u4e3ax2+\u03b1\u00b7x\uff0b\u03b2\uff0e\u7531\u5df2\u77e5\u6709
\u3000\u3000\u3000x4\uff0bax3-3x2\uff0bbx\uff0b3
\u3000\u3000\u3000\u3000=(x-1)2(x2+\u03b1\u00b7x\uff0b\u03b2)+(x\uff0b1)
\u3000\u3000\u3000\u3000=(x2-2x\uff0b1)(x2\uff0b\u03b1\u00b7 x\uff0b\u03b2)\uff0bx\uff0b1
\u3000\u3000\u3000\u3000=x4+(\u03b1-2)x3+(1-2\u03b1\uff0b\u03b2)x2\uff0b(1\uff0b\u03b1-2\u03b2)x\uff0b\u03b2+1\uff0e
\u3000\u3000\u6bd4\u8f83\u7b49\u53f7\u4e24\u7aef\u540c\u6b21\u9879\u7684\u7cfb\u6570\uff0c\u5e94\u8be5\u6709
\u3000\u3000\u53ea\u987b\u89e3\u51fa
\u3000\u3000\u6240\u4ee5a=1\uff0cb=0\u5373\u4e3a\u6240\u6c42\uff0e
\u3000\u30007\uff0e\u56e0\u4e3a
\u3000\u3000\u6240\u4ee5\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u226411\uff0e
\u3000\u3000\u4e0b\u9762\u6309\u6b63\u65b9\u5f62\u8fb9\u7684\u957f\u5ea6\u5206\u7c7b\u679a\u4e3e\uff1a
\u3000\u3000(1)\u8fb9\u957f\u4e3a11\uff1a9\uff0b2=8+3=7\uff0b4=6+5\uff0c
\u3000\u3000\u3000 \u53ef\u5f971\u79cd\u9009\u6cd5\uff0e
\u3000\u3000(2)\u8fb9\u957f\u4e3a10\uff1a9\uff0b1=8\uff0b2=7\uff0b3=6+4\uff0c
\u3000\u3000\u3000 \u53ef\u5f971\u79cd\u9009\u6cd5\uff0e
\u3000\u3000(3)\u8fb9\u957f\u4e3a9\uff1a9=8+1=7+2=6+3=5+4\uff0c
\u3000\u3000 \u3000\u53ef\u5f975\u79cd\u9009\u6cd5\uff0e
\u3000\u3000(4)\u8fb9\u957f\u4e3a8\uff1a8=7+1=6+2=5+3\uff0c
\u3000\u3000\u3000 \u53ef\u5f971\u79cd\u9009\u6cd5\uff0e
\u3000\u3000(5)\u8fb9\u957f\u4e3a7\uff1a7=6+1=5\uff0b2=4\uff0b3\uff0c
\u3000\u3000 \u3000\u53ef\u5f971\u79cd\u9009\u6cd5\uff0e
\u3000\u3000(6)\u8fb9\u957f\u22646\u65f6\uff0c\u65e0\u6cd5\u9009\u62e9\uff0e
\u3000\u3000\u7efc\u4e0a\u6240\u8ff0\uff0c\u5171\u67091+1+5+1+1=9
\u3000\u3000\u79cd\u9009\u6cd5\u7ec4\u6210\u6b63\u65b9\u5f62\uff0e
\u3000\u30008\uff0e\u5148\u770b6\u6761\u4e0d\u5e73\u884c\u7684\u76f4\u7ebf\uff0c\u5b83\u4eec\u6700\u591a\u5c06\u5e73\u9762\u5206\u6210
2+2\uff0b3+4+5\uff0b6=22\u4e2a\u90e8\u5206\uff0e
\u3000\u3000\u73b0\u5728\u52a0\u5165\u5e73\u884c\u7ebf\uff0e\u52a0\u5165\u7b2c1\u6761\u5e73\u884c\u7ebf\uff0c\u5b83\u4e0e\u524d\u9762\u76846\u6761\u76f4\u7ebf\u6700\u591a\u67096\u4e2a\u4ea4\u70b9\uff0c\u5b83\u88ab\u5206\u62107\u6bb5\uff0c\u6bcf\u4e00\u6bb5\u5c06\u539f\u6765\u7684\u90e8\u5206\u4e00\u5206\u4e3a\u4e8c\uff0c\u6545\u589e\u52a0\u4e867\u4e2a\u90e8\u5206\uff0e\u52a0\u5165\u7b2c2\uff0c\u7b2c3\u548c\u7b2c4\u6761\u5e73\u884c\u7ebf\u4e5f\u662f\u5982\u6b64\uff0c\u5373\u6bcf\u52a0\u5165\u4e00\u6761\u5e73\u884c\u7ebf\uff0c\u6700\u591a\u589e\u52a07\u4e2a\u90e8\u5206\uff0e\u56e0\u6b64\uff0c\u8fd9\u4e9b\u76f4\u6700\u591a\u5c06\u5e73\u9762\u5206\u6210
22+7\u00d74=50
\u3000\u3000\u4e2a\u90e8\u5206\uff0e
\u3000\u30009\uff0e\u4e0d\u59a8\u8bbe\u4e09\u89d2\u5f62\u7684\u4e09\u8fb9\u957fa\uff0cb\uff0cc\u6ee1\u8db3a\u2265b\u2265c\uff0e\u7531b\uff0bc\uff1ea\uff0ca\uff0bb\uff0bc=15\uff0ca\u2265b\u2265c\u53ef\u5f97\uff0c15=a\uff0b(b\uff0bc)\uff1e2a\uff0c\u6240\u4ee5a\u22647\uff0e\u53c815=a+b\uff0bc\u22643a\uff0c\u6545a\u22655\uff0e\u4e8e\u662fa=5\uff0c6\uff0c7\uff0e\u5f53a=5\u65f6\uff0cb\uff0bc=10\uff0c\u6545b=c=5\uff1b\u5f53a=b\u65f6\uff0cb\uff0bc=9\uff0e\u4e8e\u662fb=6\uff0cc=3\uff0c\u6216b=5\uff0cc=4\uff1b\u5f53a=7\u65f6\uff0cb+c=8\uff0c\u4e8e\u662fb=7\uff0cc=1\uff0c\u6216b=6\uff0cc=2\uff0c\u6216b=5\uff0cc=3\uff0c\u6216b=4\uff0cc=4\uff0e
\u3000\u3000\u6240\u4ee5\uff0c\u6ee1\u8db3\u9898\u610f\u7684\u4e09\u89d2\u5f62\u5171\u67097\u4e2a\uff0e
n(n+5)-(n-3)(n+2)=n^2+5n-n^2-2n+3n+6=6n+6=6(n+1).\u663e\u7136\u5bf9\u4efb\u610f\u81ea\u7136\u6570n\uff0c6(n+1)\u90fd\u80fd\u88ab6\u6574\u9664.
1.求71999×32001的末位数字．71999×32001＝71999×31999×32＝211999×9．
不论多少1的乘积，其结果仍然是1，所以71999×32001的末位数字是9．
2.a、b、c取什么数值时，x3-ax2+bx+c程(x-1)(x-2)(x-3)恒等？
a=6, b=11, c=-6；
3.阅读材料，大数学家高斯在上学读书时
曾经研究过这样一个问题：1+2+3+…+100＝？经过研究，这个问题的一般性结论是1+2+3+…+n=1/2 x n(n+1)，其中n是正整数。现在我们来研究一个类似的问题：1×2+2×3+…n(n+1)＝？
观察下面三个特殊的等式
1x2=1/3 (1x2x3 - 0x1x2)
2x3=1/3 (2x3x4 - 1x2x3)
3x4=1/3 (3x4x5 - 2x3x4)
将这三个等式的两边相加，可以得到1×2+2×3+3×4＝1/3 x3x4x5=20读完这段材料，请你思考后回答：
1x2+2x3+3x4+........+100x101=
1x2+2x3+3x4+........+n(n+1)=
1x2x3+2x3x4+.........+n(n+1)(n+2)=
解：⑴343400
(2) 1/3 n(n+1)(n+2)
(3) 1/4(n+1)(n+2)(n+3)
4.化简求值：已知x、y满足：x^2+y^2 -4x+6y+13=0
求代数式(x+3y)^2 -3(3x-y)(x+y) - (x-3y)(x+3y)的值.
解：原式=9x2+6xy+y2-3(3x2+3xy-xy-y2)-(x2-9y2)
=9x2+6xy+y2-9x2-6xy+3y2-x2+9y2
=-x2+13y2
∵x2+y2-4x+6y+13
∴(x-2)2+(y+3)2=0
∴x=2,y=-3 .
当x=2,y=-3时
原式=-4+13×9=113
如图，已知抛物线C1：的顶点为P，与x轴相交于A、B两点（点A在点B的左边），点B的横坐标是1．
（1）求P点坐标及a的值；
（2）如图（1），抛物线C2与抛物线C1关于x轴对称，将抛物线C2向右平移，平移后的抛物线记为C3，C3的顶点为M，当点P、M关于点B成中心对称时，求C3的解析式；
（3）如图（2），点Q是x轴正半轴上一点，将抛物线C1绕点Q旋转180°后得到抛物线C4．抛物线C4的顶点为N，与x轴相交于E、F两点（点E在点F的左边），当以点P、N、F为顶点的三角形是直角三角形时，求点Q的坐标．
1）.(-a)^2·(-a)^3=, (-x)·x^2·(-x^4)=, (xy^2)^2=
2) .(-2*10^5)^2*10^21=, (-3xy^2)^2·(-2x^2y)=
3) .(-8)^2004(-0.125)^2003=, 2^2005-2^2004=
4) .0.000 000 0357= (用科学计数法表示）
5）.x^n=5,y^n=3,则(xy)^2n= . 若2^x=m,2^y=n,则8^x+y=
6) .若A=3x-2,B=1-2x,C=-5x,则A·B+A·C=
7) .(-8*0.125)^0=
8) .比较25^180，64^120,81^90的大小（用“<”号连起来）：
9）.四个连续自然数中，两个大数的积与其余两个数的积的差等于58，则这四个数的和是
10）2^199+2^198+2^197+...+2^2+2+1
二..
1）.与（x^2+x+1)(x-1)的积等于x^6-1的多项式是（ ）
A.x^2-1 B.x^3-1 C.x^2+1 D.x^3+1
2) .已知5^x=3,5^y=4,则25^x+y的结果为（ ）
A.144 B.24 C.25 D.49
3）.x为正整数，且满足3^x+1·2^x-3^x+1=6^6,则x=( )
A.2 B.3 C.6 D.12
好的 孩子 我教你
绛旓細1銆13.56*19.98-锛13.56-6.25锛-锛19.98-6.25锛=13.56*19.98-13.56-19.98+13.5 =锛13.56-1锛*19.98-0.06 =12.56*19.98-0.06 =12.56*锛20-0.02锛-0.06 =12.56*20-0.2512-0.06 =251.2-0.3112 =250.8888 2銆(1.3*10^5)*9.6*10^6=1.248*10^12鍚 ...
绛旓細鍥炵瓟锛(1 )4x涔3銆 (2)7y銆 (3)X+y涔榵鐨勫钩鏂瑰噺xy+y鐨勫钩鏂
绛旓細鍥炵瓟锛氭湁鐐圭湅涓嶆竻 娓呮鐐
绛旓細2+1=2^2-1 2^2+2+1=2^3-1 鈥︹2^199+2^198+2^197+...+2^2+2+1 =2^200-1
绛旓細绛旓細璁鹃潬澧欑殑閭ｄ竴闈㈢殑杈归暱鏄痻锛屽垯鍙﹀涓よ竟鍒嗗埆涓1/2锛80-x锛夐潰绉疭=1/2锛80-x锛墄 鍙互閫墄=10锛孲=350 x=20锛孲=600 x=30锛孲=750 x=40锛孲=800 x=50锛孲=750 x=60锛孲=600 x=70锛孲=350 路路路鍙煡x涓嶅ぇ涓嶅皬鏃 锛岄潰绉渶澶 S=1/2锛80-x锛墄=40x-1/2x^2 =-1/2(x-40)...
绛旓細闂琛ュ厖锛氬皬涓藉湪鍋澶氶」寮忎箻娉鏃跺彂鐜帮細鍒╃敤涔樻硶鍒嗛厤寰嬪皢澶氶」寮忎笌澶氶」寮忕浉涔灞曞紑锛屽啀鍚堝苟鍚岀被椤锛屾湁鍙兘鍑虹幇缂洪」鐨勭幇璞°傜幇鏈変竴涓簩娆′笁椤瑰紡x^2+2x+3,灏嗗畠涓庝竴涓簩椤瑰紡ax+b鐩镐箻锛岀Н涓笉鍑虹幇涓娆￠」锛屼笖浜屾椤圭郴鏁颁负1锛屾眰a,b鐨勫笺俒x^2+2x+3][ax+b]=ax^3+[b+2a]x^2+[2b+3a]x+3b 鍥犱负涓...
绛旓細鏁板棰(澶氶」寮忎笌澶氶」寮忕浉涔3閬) 瑕佽繃绋,璋㈣阿~ 鎴戞潵绛 3涓洖绛 #鐑# 浣犺杩囧摢浜涘洜涓鸿佹澘浣滄瀵艰嚧鍊掗棴鐨勫叕鍙?鑳栬儢鐨勫皬鐐圭偣鐚 2015-11-18 路 鐭ラ亾鍚堜紮浜轰綋鑲茶瀹 鑳栬儢鐨勫皬鐐圭偣鐚 鐭ラ亾鍚堜紮浜轰綋鑲茶瀹 閲囩撼鏁:28 鑾疯禐鏁:91 淇￠槼鍐滄灄瀛﹂櫌鍦ㄦ牎鐢 鍚慣A鎻愰棶 绉佷俊TA 鍏虫敞 ...
绛旓細姹俛锛宐锛2銆佹牴鎹(x锛媋)(x锛媌)锛漻2锛(a锛媌)x锛媋b锛岀洿鎺ヨ绠椾笅鍒楅 (1)(x锛4)(x锛9) (2)(xy锛8a)(xy锛2a)浜斻鏁板鐢熸椿瀹炶返 涓鍧楅暱am锛屽bm鐨勭幓鐠冿紝闀裤佸鍚勮鎺塩m鍚庢伆濂借兘閾虹洊涓寮犲姙鍏鍙伴潰(鐜荤拑涓庡彴闈竴鏍峰ぇ灏)锛岄棶鍙伴潰闈㈢Н鏄澶氬皯?
绛旓細鈶犲皢姣忎釜澶氶」寮忛兘鎸夌収鍗囧箓鎴栭檷骞傚悓鎰忔帓鍒 鈶℃寜椤哄簭灏嗘瘡涓涓椤瑰紡涓殑椤涔樹互鐩搁偦鍚庨潰澶氶」寮忔瘡涓椤癸紝鎺ヤ袱涓嫭鍙鐩镐箻鍚庣粨鏋滅殑椤规暟搴旇鏄浉涔樺墠涓ゆ嫭鍙蜂腑椤规暟涔嬪拰 鈶㈡暣鐞嗙浉涔樺悗鎵寰鐨勫椤瑰紡锛岄噸鏂版寜鏌愪竴瀛楀箷杩涜鍗囧箓鎴栭檷骞傛帓搴 鈶ｅ鏈鍚岀被椤杩涜鍚堝苟 銆愪緥棰橈紙澶氶」寮忓洓鍒欒繍绠楋級锛(3x³锛2x²锛媥锛...
