初二数学：因式分解 两点钟之前回答另外加150分 初二数学人教版 复习提纲

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\u4e03\u516b\u4e5d \u5408\u8ba1 \u6bcf\u4eba\u514d\u8d39\u8865\u52a9\u91d1\u989d\uff08\u5143\uff09 110 90 50 \u4eba\u6570\uff08\u4eba\uff09 80 300 \u514d\u8d39\u8865\u52a9\u603b\u91d1\u989d\uff08\u5143\uff09 4000 26200 \u5982\u679c\u8981\u77e5\u9053\u7a7a\u767d\u5904\u7684\u6570\u636e\uff0c\u53ef\u8bbe\u4e03\u5e74\u7ea7\u7684\u4eba\u6570\u4e3ax\uff0c\u516b\u5e74\u7ea7\u7684\u4eba\u6570\u4e3ay\uff0c \u6839\u636e\u9898\u610f\u5217\u51fa\u65b9\u7a0b\u7ec4\u4e3a\uff08 \uff09 A\uff0e B \uff0e C\uff0e D \uff0e 8\u3001 \u6709\u516d\u4e2a\u7b49\u5706\u6309\u7532\u3001\u4e59\u3001\u4e19\u4e09\u79cd\u5f62\u5f0f\u6446\u653e\uff0c\u4f7f\u76f8\u90bb\u4e24\u5706\u76f8\u4e92\u5916\u5207\uff0c\u4e14 \u5982\u56fe\u6240\u793a\u7684\u8fde\u5fc3\u7ebf\u5206\u522b\u6784\u6210\u6b63\u516d\u8fb9\u5f62\uff0c\u5e73\u884c\u56db\u8fb9\u5f62\u548c\u6b63\u4e09\u89d2\u5f62\uff0c\u5c06\u5706\u5fc3 \u8fde\u7ebf\u5916\u4fa7\u7684\u516d\u4e2a\u6247\u5f62\uff08\u9634\u5f71\u90e8\u5206\uff09\u7684\u9762\u79ef\u4e4b\u548c\u4f9d\u6b21\u8bb0\u4e3aS\u3001P\u3001Q\u5219\uff08 \uff09 11\u3001\u56e0\u5f0f\u5206\u89e3\uff1a = 12\u3001\u5982\u56fe\uff0c\u25b3OP A \uff0c\u25b3A P A \u662f\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u70b9P\u3001P \u5728\u51fd\u6570y= \u7684\u56fe\u50cf\u4e0a\uff0c\u659c\u8fb9OA \u3001A A \u90fd\u5728\u6a2a\u8f74\u4e0a\uff0c\u5219\u70b9A \u7684\u5750\u6807\u662f____________. 13\u3001\u5982\u56fe\u6240\u793a\u7684\u9634\u5f71\u90e8\u5206\u662f\u67d0\u79cd\u5546\u54c1\u7684\u5546\u6807\u56fe\u6848\u3002\u5df1\u77e5\u83f1\u5f62ABCD\u8fb9\u957f\u662f4\u339d\uff0c\u2220A = 60\u00b0\uff0c\u5f27BD\u662f\u4ee5A\u4e3a\u5706\u5fc3\uff0cAB\u4e3a\u534a\u5f84\u7684\u5f27\uff0c\u5f27CD\u662f\u4ee5B\u4e3a\u5706\u5fc3\uff0cBC\u4e3a\u534a\u5f84\u7684\u5f27\uff0c\u5219\u8be5\u5546\u6807\u56fe\u6848\u7684\u9762\u79ef\u662f_____________\uff0e 14\u30012007\u5e741\u67081\u65e5\u8d77\uff0c\u67d0\u5e02\u5168\u9762\u63a8\u884c\u519c\u6751\u5408\u4f5c\u533b\u7597\uff0c\u519c\u6c11\u6bcf\u5e74\u6bcf\u4eba\u53ea\u62ff \u51fa10\u5143\u5c31\u53ef\u4ee5\u4eab\u53d7\u5408\u4f5c\u533b\u7597\uff0c\u4f4f\u9662\u8d39\u62a5\u9500\u529e\u6cd5\u5982\u4e0b\u8868\uff1a \u4f4f\u9662\u8d39\uff08\u5143\uff09 \u62a5\u9500\u7387\uff08\uff05\uff09 \u4e0d\u8d85\u8fc73000\u5143\u7684\u90e8\u5206 15 3000\u2014\u20144000\u7684\u90e8\u5206 25 4000\u2014\u20145000\u7684\u90e8\u5206 30 5000\u2014\u201410000\u7684\u90e8\u5206 35 10000\u2014\u201420000\u7684\u90e8\u5206 40 \u8d85\u8fc720000\u7684\u90e8\u5206 45 \u67d0\u4eba\u4f4f\u9662\u8d39\u62a5\u9500\u4e86880\u5143\uff0c\u5219\u4f4f\u9662\u8d39\u4e3a__________\u5143\uff0e \u65b0\u4eba\u6559\u4e03\u5e74\u7ea7\u6570\u5b66\u4e0b\u5b66\u671f\u671f\u672b\u6d4b\u8bd5\u9898 \uff08\u4e09\uff09 \u4e00\u3001\u586b\u7a7a\u9898 1\u3001\u70b9B\u5728y\u8f74\u4e0a\uff0c\u4f4d\u4e8e\u539f\u70b9\u4e0a\u65b9\uff0c\u8ddd\u79bb\u5750\u6807\u539f\u70b94\u5355\u4f4d\u957f\u5ea6\uff0c\u5219\u6b64\u70b9\u7684\u5750\u6807\u4e3a \uff1b 2\u3001\u82e5\u4e00\u4e2a\u6570\u7684\u7b97\u672f\u5e73\u65b9\u6839\u662f8\uff0c\u5219\u8fd9\u4e2a\u6570\u7684\u7acb\u65b9\u6839\u662f \uff1b \u7b2c4\u9898\u56fe 3\u3001\u5982\u56fe\uff0cBE\u5e73\u5206\u2220ABD\uff0cCF\u5e73\u5206\u2220ACD\uff0cBE\u3001CF\u4ea4\u4e8eG\uff0c\u82e5\u2220BDC = 140\u00b0\uff0c\u2220BGC = 110\u00b0\uff0c\u5219\u2220A = \uff0e 4\u3001\u5982\u56fe\uff0c\u22201=_____\uff0e 5\u3001\u5982\u56fe7\uff0c\u662f\u4e00\u5757\u56db\u8fb9\u5f62\u94a2\u677f\u7f3a\u4e86\u4e00\u4e2a\u89d2\uff0c\u6839\u636e\u56fe\u4e2d\u6240\u6807\u51fa\u7684\u6d4b\u91cf\u7ed3\u679c\u5f97\u6240\u7f3a\u635f\u7684\u2220A\u7684\u5ea6\u6570\u4e3a_________\uff0e 6\u3001\u4e00\u4e2a\u6b63\u6570x\u7684\u5e73\u65b9\u6839\u662f2a 3\u4e0e5 a\uff0c\u5219a\u662f_________\uff0e 7\u3001\u82e5x\uff0b2y+3z\uff1d10\uff0c4x\uff0b3y\uff0b2z\uff1d15\uff0c\u5219x\uff0by\uff0bz\u7684\u503c\u662f_____________\uff0e 8\u3001\u5982\u679c25x2\uff1d36\uff0c\u90a3\u4e48x\u7684\u503c\u662f______________\uff0e 9\u3001\u5df2\u77e5AD\u662f ABC\u7684\u8fb9BC\u4e0a\u7684\u4e2d\u7ebf\uff0cAB=15cm\uff0cAC=10cm\uff0c\u5219 ABD\u7684\u5468\u957f\u6bd4 ABD\u7684\u5468\u957f\u5927__________\uff0e 10\u3001\u5982\u679c\u4e09\u89d2\u5f62\u7684\u4e00\u4e2a\u5916\u89d2\u7b49\u4e8e\u4e0e\u5b83\u76f8\u90bb\u7684\u5185\u89d2\u76842\u500d\uff0c\u7b49\u4e8e\u4e0e\u5b83\u4e0d\u76f8\u90bb\u7684\u4e00\u4e2a\u5185\u89d2\u76844\u500d\uff0c\u5219\u6b64\u4e09\u89d2\u5f62\u5404\u5185\u89d2\u7684\u5ea6\u6570\u662f_______________\uff0e 11\u3001\u5df2\u77e5\u4e00\u4e2a\u591a\u8fb9\u5f62\u7684\u5185\u89d2\u548c\u4e0e\u5916\u89d2\u548c\u51712160\u00b0\uff0c\u5219\u8fd9\u4e2a\u591a\u8fb9\u5f62\u7684\u8fb9\u6570\u662f___________\uff0e 12\u3001\u5c06\u70b9A\u5148\u5411\u4e0b\u5e73\u79fb3\u4e2a\u5355\u4f4d\uff0c\u518d\u5411\u53f3\u5e73\u79fb2\u4e2a\u5355\u4f4d\u540e\uff0c\u5219\u5f97\u5230\u70b9B\uff08 2\uff0c5\uff09\uff0c\u5219\u70b9A\u7684\u5750\u6807\u4e3a \uff0e 13\u3001\u5df2\u77e5\u4e00\u4e2a\u591a\u8fb9\u5f62\u7684\u6bcf\u4e00\u4e2a\u5916\u89d2\u90fd\u76f8\u7b49\uff0c\u4e14\u5185\u89d2\u548c\u662f\u5916\u89d2\u548c\u76842\u500d\uff0c\u5219\u5b83\u7684\u6bcf\u4e2a\u5916\u89d2\u7b49\u4e8e\u4e00\u3001\u586b\u7a7a\u9898\uff08\u6bcf\u98981.5\u5206\uff0c\u517115\u5206\uff09 1\uff1a\u76f4\u7ebf\u5916\u4e00\u70b9 \uff0c\u53eb\u505a\u70b9\u5230\u76f4\u7ebf\u7684\u8ddd\u79bb\u3002 2\uff1a\u5e73\u884c\u7ebf\u516c\u7406\uff1a \u3002 3\uff1a\u76f4\u7ebf\u5e73\u884c\u7684\u6761\u4ef6\uff1a \uff1b \uff1b \u3002 4\uff1a\u76f4\u7ebf\u5e73\u884c\u7684\u6027\u8d28\uff1a \uff1b \uff1b \u3002 5\uff1an\u8fb9\u5f62\u5916\u89d2\u548c\u4e3a \uff1b\u5185\u89d2\u548c\u4e3a \u3002 6\uff1a\u4e00\u4e2an\u8fb9\u5f62\uff0c\u4ece\u5b83\u7684\u4e00\u4e2a\u9876\u70b9\u51fa\u53d1\uff0c\u53ef\u4ee5\u505a \u6761\u5bf9\u89d2\u7ebf\uff0c\u5b83\u5c06\u591a\u8fb9\u5f62\u5206\u6210\u4e86 \u4e2a\u4e09\u89d2\u5f62\u3002 7\uff1a\u7531\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\u4e2d\u4e00\u4e2a\u65b9\u7a0b\uff0c \u8fd9\u79cd\u65b9\u6cd5\u53eb\u505a \uff0c\u7b80\u79f0\u4ee3\u5165\u6cd5\u3002 8\uff1a\u4e24\u4e2a\u65b9\u7a0b\u4e2d\u540c\u4e00\u672a\u77e5\u6570\u7684\u7cfb\u6570 \u8fd9\u79cd\u65b9\u6cd5\u53eb\u505a \uff0c\u7b80\u79f0\u52a0\u51cf\u6cd5\u3002 9\uff1a\u5bf9\u4e8e2x-y=3\uff0c\u6211\u4eec\u6709\u542bx\u7684\u5f0f\u5b50\u8868\u793ay\u4e3a\uff1a \u3002 10\uff1a\u5bf9\u4e8e10cm\u30017cm\u30015cm\u30013cm\u7684\u56db\u6839\u6728\u6761\uff0c\u9009\u5176\u4e2d\u7684\u4e09\u6839\u7ec4\u6210\u4e09\u89d2\u5f62\uff0c\u6709 \u79cd\u9009\u6cd5\uff0c\u4e14\u7ec4\u6210\u7684\u4e09\u89d2\u5f62\u7684\u5468\u957f\u4e3a \u3002 \u4e8c\u3001\u89e3\u7b54\u4ee5\u53ca\u5e94\u7528 1\u3001\u5982\u56fe\u2460\uff0c\u662f\u4e00\u5757\u68af\u5f62\u94c1\u7247\u7684\u6b8b\u4f59\u90e8\u5206\uff0c\u91cf\u5f97 \uff0c\u68af\u5f62\u53e6\u5916\u4e24\u4e2a\u89d2\u5206\u522b\u662f\u591a\u5c11\u5ea6\uff1f\uff084\u5206\uff09 2\u3001\u5982\u56fe\u2461\uff0ca//b,c\u3001d\u662f\u622a\u7ebf\uff0c 1=80 \uff0c 5=70 \u3002 2\u3001 3 4\u5404\u662f\u591a\u5c11\u5ea6\uff1f\u4e3a\u4ec0\u4e48\uff1f\uff086\u5206\uff09 3\u3001\u5728\u5e73\u9762\u76f4\u89d2\u5750\u6807\u7cfb\u4e2d\uff0c\u6807\u51fa\u4e0b\u5217\u4e2a\u70b9\uff1a \u70b9A\u5728y\u8f74\u4e0a\uff0c\u4f4d\u4e8e\u539f\u70b9\u4e0a\u65b9\uff0c\u8ddd\u79bb\u539f\u70b92\u4e2a\u5355\u4f4d\u957f\u5ea6\uff1b \u70b9B\u5728x\u8f74\u4e0a\uff0c\u4f4d\u4e8e\u539f\u70b9\u53f3\u4fa7\uff0c\u8ddd\u79bb\u539f\u70b91\u4e2a\u5355\u4f4d\u957f\u5ea6\uff1b \u70b9C\u5728x\u8f74\u4e0a\uff0cy\u8f74\u53f3\u4fa7\uff0c\u8ddd\u79bb\u6bcf\u6761\u4e24\u6761\u5750\u6807\u8f74\u90fd\u662f2\u4e2a\u5355\u4f4d\u957f\u5ea6\uff1b \u70b9D\u5728x\u8f74\u4e0a\uff0c\u4f4d\u4e8e\u539f\u70b9\u53f3\u4fa7\uff0c\u8ddd\u79bb\u539f\u70b93\u4e2a\u5355\u4f4d\u957f\u5ea6\uff1b \u70b9E\u5728x\u8f74\u4e0a\u65b9\uff0cy\u8f74\u53f3\u4fa7\uff0c\u8ddd\u79bbx\u8f742\u4e2a\u5355\u4f4d\u957f\u5ea6\uff0c\u8ddd\u79bby\u8f744\u4e2a\u5355\u4f4d\u957f\u5ea6\u3002 \u4f9d\u6b21\u8fde\u63a5\u8fd9\u4e9b\u70b9\uff0c\u4f60\u89c9\u5f97\u5b83\u50cf\u4ec0\u4e48\u56fe\u5f62\uff1f\uff088\u5206\uff09 4\u3001\u5982\u56fe\u2462\uff0c\u4e09\u89d2\u5f62AOB\u4e2d\uff0cA\uff0cB\u4e24\u70b9\u7684\u5750\u6807\u5206\u522b\u4e3a\uff082\uff0c4\uff09\u3001\uff086\uff0c2\uff09\uff0c\u6c42\u4e09\u89d2\u5f62AOB\u7684\u9762\u79ef\uff08\u63d0\u793a\uff1a\u4e09\u89d2\u5f62AOB\u7684\u9762\u79ef\u53ef\u4ee5\u770b\u4f5c\u4e00\u4e2a\u957f\u65b9\u5f62\u7684\u9762\u79ef\u51cf\u53bb\u4e00\u4e9b\u5c0f\u4e09\u89d2\u5f62\u7684\u9762\u79ef\uff09\u3002\uff088\u5206\uff09 5\u3001\u8ba1\u7b97\u6b63\u4e94\u8fb9\u5f62\u548c\u6b63\u5341\u8fb9\u5f62\u7684\u6bcf\u4e00\u4e2a\u5185\u89d2\u5ea6\u6570\u3002\uff085\u5206\uff09 6\u3001\u4e00\u4e2a\u591a\u8fb9\u5f62\u7684\u5185\u89d2\u548c\u7b49\u4e8e1260 \uff0c\u5b83\u662f\u51e0\u8fb9\u5f62\uff1f\uff085\u5206\uff09 7\u3001\u5982\u56fe\u2463\uff0c 1 = 2\uff0c 3= 4\uff0c A=100 \uff0c\u6c42x\u7684\u503c\u3002\uff086\u5206\uff09 8\u3001\u6309\u8981\u6c42\u89e3\u7b54\u4e0b\u5217\u65b9\u7a0b\uff08\u51718\u5206\uff09 \uff081\uff09 x+2y=9 (2) 2x-y=5 3x-2y=-1 3x+4y=2 \u4e09\u3001\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\u5e94\u7528\uff08\u6bcf\u98987\u5206\uff0c\u517135\u5206\uff09 1\u3001\u6839\u636e\u5e02\u573a\u8c03\u67e5\uff0c\u67d0\u79cd\u6d88\u6bd2\u6db2\u7684\u5927\u74f6\u88c5\uff08500g\uff09\u548c\u5c0f\u74f6\u88c5\uff08250g\uff09\u4e24\u79cd\u4ea7\u54c1\u7684\u9500\u552e\u6570\u91cf\u4e4b\u6bd4\uff08\u6309\u74f6\u8ba1\u7b97\uff09\u4e3a2\uff1a5\uff0c\u67d0\u5382\u6bcf\u5929\u751f\u4ea7\u8fd9\u79cd\u6d88\u6bd2\u6db222.5\u5428\uff0c\u8fd9\u4e9b\u6d88\u6bd2\u6db2\u5e94\u8be5\u5206\u88c5\u5927\u3001\u5c0f\u74f6\u88c5\u4e2a\u4e24\u79cd\u5404\u6709\u591a\u5c11\u74f6\uff1f 2\u30012\u53f0\u5927\u6536\u5272\u673a5\u53f0\u5c0f\u6536\u5272\u673a\u5de5\u4f5c2\u5c0f\u65f6\u6536\u5272\u5c0f\u9ea63\u30026\u516c\u9877\uff0c3\u53f0\u5927\u6536\u5272\u673a\u548c2\u62ac\u5c0f\u6536\u5272\u673a5\u5c0f\u65f6\u6536\u5272\u5c0f\u9ea68\u516c\u9877\uff0c\u4e00\u53f0\u5927\u6536\u5272\u673a\u548c\u4e00\u53f0\u5c0f\u6536\u5272\u673a1\u5c0f\u65f6\u5404\u6536\u5272\u5c0f\u9ea6\u591a\u5c11\u516c\u9877\uff1f 3\u3001A\u5e02\u5230B\u5e02\u7684\u822a\u7ebf\u957f1200km\uff0c\u4e00\u67b6\u98de\u673a\u4eceA\u5e02\u987a\u98ce\u98de\u5f80B\u5e02\u9700\u89812\u5c0f\u65f630\u5206\uff0c\u4eceB\u5e02\u9006\u98ce\u98de\u5f80A\u5e02\u9700\u89813\u5c0f\u65f620\u5206\uff0c\u6c42\u98de\u673a\u7684\u5e73\u5747\u901f\u5ea6\u548c\u98ce\u901f\u3002 4\u3001\u7528\u767d\u94c1\u76ae\u505a\u7f50\u5934\u76d2\uff0c\u6bcf\u5f20\u94c1\u76ae\u53ef\u5236\u4f5c\u76d2\u8eab25\u4e2a\uff0c\u621640\u4e2a\u76d2\u5e95\uff0c\u4e00\u4e2a\u76d2\u8eab\u4e0e\u4e24\u4e2a\u76d2\u5e95\u914d\u6210\u4e00\u5957\u76d2\u3002\u73b0\u670936\u5f20\u767d\u94c1\u76ae\uff0c\u7528\u591a\u5c11\u5f20\u5236\u4f5c\u76d2\u8eab\uff0c\u591a\u5c11\u5f20\u5236\u4f5c\u76d2\u5e95\u53ef\u4ee5\u4f7f\u76d2\u8eab\u4e0e\u76d2\u5e95\u6b63\u597d\u914d\u5957\uff1f 5\u3001\u8981\u7528\u542b\u836f30%\u548c75%\u826f\u79cd\u9632\u8150\u836f\u6c34\uff0c\u914d\u5236\u6210\u6c57\u836f50%\u7684\u9632\u8150\u836f\u6c3418kg\uff0c\u4e24\u79cd\u836f\u6c34\u5404\u9700\u8981\u53d6\u591a\u5c11\uff1f

第一道： (2a-3)^3+a^3
=(2a-3+a)(4a^2+9-6a+a^2-2a^2-3a)
=(2a-3+a)(3a^2-9a+9)
=3(2a-3+a)(a^2-3a+3)

第二道： (7a+8)^3-c^3
=（7a+8-c）[(7a+8)^2+c^2+c(7a+8)]

第三道: (1-a^2)(1-b^2)-4ab
=(1-a^2-b^2+a^2b^2)-4ab
=1+a^2b^2-2ab-(a^2+b^2+2ab)
=(ab-1)^2-(a+b)^2
=(ab+a+b-1)(ab-a-b-1)

第四道： (ax+by)^2+(ay-bx)^2
=a^2x^2+b^2y^2+2abxy+a^2y^2+b^2x^2-2abxy
=a^2x^2+b^2y^2+a^2y^2+b^2x^2
=a^2(x^2+y^2)+b^2(x^2+y^2)
=(a^2+b^2)(x^2+y^2)

第五道： a^4+a^2b^2+b^4
=a^4+2a^2b^2+b^4 -a^2b^2
=(a^2+b^2)^2-(ab)^2
=(a^2+b^2+ab)(a^2+b^2-ab)

第六道： x^4-27x^2+1
=x^4-2x^2+1-25x^2
=(x^2-1)^2-(5x)^2
==(x^2+5x-1)(x^2-5x-1)

第七道： a^2-b^2-c^2+d^2-2(ad+bc)
=a^2-b^2-c^2+d^2-2ad-2bc
=a^2+d^2-2ad-(b^2+c^2+2bc)
=(a+d)^2-(b+c)^2
=(a+b+c+d)(a-b-c+d)

第八道： a^2-4ab+3b^2+2bc-c^2
=a^2-4ab+(4b^2-b^2)+2bc-c^2
=a^2-4ab+4b^2-(b^2-2bc+c^2)
=(a-2b)^2(b-c)^2
=(a-2b+b-c)(a-2b-b+c)
=(a-b+c)(a-3b+c)

第九道： x^2+6xy-91y^2
=x^2+6xy+9y^2-100y^2
=(x+3y)^2-(10y)^2
=(x+3y+10y)(x+3y-10y)
=(x+13y)(x-7y)

第十道： y^4-3y^3-28y^2
=y^2(y^2-3y-28)
=y^2(y+4)(y-7)

(2a-3)^3+a^3
=(2a-3+a)(4a^2+9-6a+a^2-2a^2-3a)
=(2a-3+a)(3a^2-9a+9)
=3(2a-3+a)(a^2-3a+3)
(1－a^2)(1－b^2)－4ab
=1-a^2-b^2+a^2b^2-4ab
=(a^2b^2-2ab+1)-(a^2+b^2+2ab)
=(ab-1)^2-(a+b)^2
=(ab+a+b-1)(ab-a-b-1)

我靠，我只会计算，因式分解是什么意思我都忘记了。。。。

自己不会，可以请教老师或家长

朋友啊，作业要自己写。不然对你么的好处，知道啊？？？加油哈！！！

3^(3a-3)
3^(7a+8-c)

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