初一初二奥数50题有解析答案的 初一数学上册奥数题及答案（50道以上）
\u6c42\u4e03\u5e74\u7ea7\u5965\u6570\u9898\uff0c50\u9898\uff0c\u8981\u6709\u95ee\u9898\u548c\u7b54\u6848\u7684\uff0c\u8981\u4e03\u5e74\u7ea7\u7684\uff0c\u4e0d\u591f\u3001\u4e0d\u7b26\u5408\u4e0d\u7ed9\u5206\u54e6~~~~1.\u4e00\u4e2a\u591a\u8fb9\u5f62\u7684\u5185\u89d2\u548c\u662f15840\u5ea6\uff0c\u8fd9\u4e2a\u591a\u8fb9\u5f62\u662f\u51e0\u8fb9\u5f62\uff1f
2\uff0e\u8bbea\uff0cb\uff0cc\u4e3a\u5b9e\u6570\uff0c\u4e14\uff5ca\uff5c+a=0\uff0c\uff5cab\uff5c=ab\uff0c\uff5cc\uff5c-c=0\uff0c\u6c42\u4ee3\u6570\u5f0f\uff5cb\uff5c-\uff5ca\uff0bb\uff5c-\uff5cc-b\uff5c\uff0b\uff5ca-c\uff5c\u7684\u503c\uff0e
3\uff0e\u82e5m\uff1c0\uff0cn\uff1e0\uff0c\uff5cm\uff5c\uff1c\uff5cn\uff5c\uff0c\u4e14\uff5cx\uff0bm\uff5c\uff0b\uff5cx-n\uff5c=m\uff0bn\uff0c \u6c42x\u7684\u53d6\u503c\u8303\u56f4\uff0e
4\uff0e\u8bbe(3x-1)7=a7x7\uff0ba6x6+\u2026+a1x\uff0ba0\uff0c\u8bd5\u6c42a0+a2\uff0ba4\uff0ba6\u7684\u503c\uff0e
6\uff0e\u89e3\u65b9\u7a0b2\uff5cx+1\uff5c+\uff5cx-3\uff5c=6\uff0e
8\uff0e\u89e3\u4e0d\u7b49\u5f0f\uff5c\uff5cx\uff0b3\uff5c-\uff5cx-1\uff5c\uff5c\uff1e2\uff0e
10\uff0ex\uff0cy\uff0cz\u5747\u662f\u975e\u8d1f\u5b9e\u6570\uff0c\u4e14\u6ee1\u8db3\uff1a x\uff0b3y\uff0b2z=3\uff0c3x\uff0b3y+z=4\uff0c \u6c42u=3x-2y\uff0b4z\u7684\u6700\u5927\u503c\u4e0e\u6700\u5c0f\u503c\uff0e
11\uff0e\u6c42x4-2x3\uff0bx2+2x-1\u9664\u4ee5x2+x\uff0b1\u7684\u5546\u5f0f\u548c\u4f59\u5f0f\uff0e
12\uff0e\u5982\u56fe1\uff0d88\u6240\u793a\uff0e\u5c0f\u67f1\u4f4f\u5728\u7532\u6751\uff0c\u5976\u5976\u4f4f\u5728\u4e59\u6751\uff0c\u661f\u671f\u65e5\u5c0f\u67f1\u53bb\u770b\u671b\u5976\u5976\uff0c\u5148\u5728\u5317\u5c71\u5761\u6253\u4e00\u6346\u8349\uff0c\u53c8\u5728\u5357\u5c71\u5761\u780d\u4e00\u6346\u67f4\u7ed9\u5976\u5976\u9001\u53bb\uff0e\u8bf7\u95ee\uff1a\u5c0f\u67f1\u5e94\u8be5\u9009\u62e9\u600e\u6837\u7684\u8def\u7ebf\u624d\u80fd\u4f7f\u8def\u7a0b\u6700\u77ed\uff1f
13\uff0e\u5982\u56fe1\uff0d89\u6240\u793a\uff0eAOB\u662f\u4e00\u6761\u76f4\u7ebf\uff0cOC\uff0cOE\u5206\u522b\u662f\u2220AOD\u548c\u2220DOB\u7684\u5e73\u5206\u7ebf\uff0c\u2220COD=55\u00b0\uff0e\u6c42\u2220DOE\u7684\u8865\u89d2\uff0e
14\uff0e\u5982\u56fe1\uff0d90\u6240\u793a\uff0eBE\u5e73\u5206\u2220ABC\uff0c\u2220CBF=\u2220CFB=55\u00b0\uff0c\u2220EDF=70\u00b0\uff0e\u6c42\u8bc1\uff1aBC\u2016AE\uff0e
15\uff0e\u5982\u56fe1\uff0d91\u6240\u793a\uff0e\u5728\u25b3ABC\u4e2d\uff0cEF\u22a5AB\uff0cCD\u22a5AB\uff0c\u2220CDG=\u2220BEF\uff0e\u6c42\u8bc1\uff1a\u2220AGD=\u2220ACB\uff0e
16\uff0e\u5982\u56fe1\uff0d92\u6240\u793a\uff0e\u5728\u25b3ABC\u4e2d\uff0c\u2220B=\u2220C\uff0cBD\u22a5AC\u4e8eD\uff0e\u6c42
17\uff0e\u5982\u56fe1\uff0d93\u6240\u793a\uff0e\u5728\u25b3ABC\u4e2d\uff0cE\u4e3aAC\u7684\u4e2d\u70b9\uff0cD\u5728BC\u4e0a\uff0c\u4e14BD\u2236DC=1\u22362\uff0cAD\u4e0eBE\u4ea4\u4e8eF\uff0e\u6c42\u25b3BDF\u4e0e\u56db\u8fb9\u5f62FDCE\u7684\u9762\u79ef\u4e4b\u6bd4\uff0e
18\uff0e\u5982\u56fe1\uff0d94\u6240\u793a\uff0e\u56db\u8fb9\u5f62ABCD\u4e24\u7ec4\u5bf9\u8fb9\u5ef6\u957f\u76f8\u4ea4\u4e8eK\u53caL\uff0c\u5bf9\u89d2\u7ebfAC\u2016KL\uff0cBD\u5ef6\u957f\u7ebf\u4ea4KL\u4e8eF\uff0e\u6c42\u8bc1\uff1aKF=FL\uff0e
19\uff0e\u4efb\u610f\u6539\u53d8\u67d0\u4e09\u4f4d\u6570\u6570\u7801\u987a\u5e8f\u6240\u5f97\u4e4b\u6570\u4e0e\u539f\u6570\u4e4b\u548c\u80fd\u5426\u4e3a999\uff1f\u8bf4\u660e\u7406\u7531\uff0e
20\uff0e\u8bbe\u6709\u4e00\u5f208\u884c\u30018\u5217\u7684\u65b9\u683c\u7eb8\uff0c\u968f\u4fbf\u628a\u5176\u4e2d32\u4e2a\u65b9\u683c\u6d82\u4e0a\u9ed1\u8272\uff0c\u5269\u4e0b\u768432\u4e2a\u65b9\u683c\u6d82\u4e0a\u767d\u8272\uff0e\u4e0b\u9762\u5bf9\u6d82\u4e86\u8272\u7684\u65b9\u683c\u7eb8\u65bd\u884c\u201c\u64cd\u4f5c\u201d\uff0c\u6bcf\u6b21\u64cd\u4f5c\u662f\u628a\u4efb\u610f\u6a2a\u884c\u6216\u8005\u7ad6\u5217\u4e0a\u7684\u5404\u4e2a\u65b9\u683c\u540c\u65f6\u6539\u53d8\u989c\u8272\uff0e\u95ee\u80fd\u5426\u6700\u7ec8\u5f97\u5230\u6070\u6709\u4e00\u4e2a\u9ed1\u8272\u65b9\u683c\u7684\u65b9\u683c\u7eb8\uff1f
21\uff0e\u5982\u679c\u6b63\u6574\u6570p\u548cp+2\u90fd\u662f\u5927\u4e8e3\u7684\u7d20\u6570\uff0c\u6c42\u8bc1\uff1a6\uff5c(p\uff0b1)\uff0e
22\uff0e\u8bben\u662f\u6ee1\u8db3\u4e0b\u5217\u6761\u4ef6\u7684\u6700\u5c0f\u6b63\u6574\u6570\uff0c\u5b83\u4eec\u662f75\u7684\u500d\u6570\uff0c\u4e14\u6070\u6709
23\uff0e\u623f\u95f4\u91cc\u51f3\u5b50\u548c\u6905\u5b50\u82e5\u5e72\u4e2a\uff0c\u6bcf\u4e2a\u51f3\u5b50\u67093\u6761\u817f\uff0c\u6bcf\u628a\u6905\u5b50\u67094\u6761\u817f\uff0c\u5f53\u5b83\u4eec\u5168\u88ab\u4eba\u5750\u4e0a\u540e\uff0c\u5171\u670943\u6761\u817f(\u5305\u62ec\u6bcf\u4e2a\u4eba\u7684\u4e24\u6761\u817f)\uff0c\u95ee\u623f\u95f4\u91cc\u6709\u51e0\u4e2a\u4eba\uff1f
24\uff0e\u6c42\u4e0d\u5b9a\u65b9\u7a0b49x-56y+14z=35\u7684\u6574\u6570\u89e3\uff0e
25\uff0e\u7537\u3001\u5973\u54048\u4eba\u8df3\u96c6\u4f53\u821e\uff0e
(1)\u5982\u679c\u7537\u5973\u5206\u7ad9\u4e24\u5217\uff1b
(2)\u5982\u679c\u7537\u5973\u5206\u7ad9\u4e24\u5217\uff0c\u4e0d\u8003\u8651\u5148\u540e\u6b21\u5e8f\uff0c\u53ea\u8003\u8651\u7537\u5973\u5982\u4f55\u7ed3\u6210\u821e\u4f34\uff0e \u95ee\u5404\u6709\u591a\u5c11\u79cd\u4e0d\u540c\u60c5\u51b5\uff1f
26\uff0e\u75311\uff0c2\uff0c3\uff0c4\uff0c5\u8fd95\u4e2a\u6570\u5b57\u7ec4\u6210\u7684\u6ca1\u6709\u91cd\u590d\u6570\u5b57\u7684\u4e94\u4f4d\u6570\u4e2d\uff0c\u6709\u591a\u5c11\u4e2a\u5927\u4e8e34152\uff1f
27\uff0e\u7532\u706b\u8f66\u957f92\u7c73\uff0c\u4e59\u706b\u8f66\u957f84\u7c73\uff0c\u82e5\u76f8\u5411\u800c\u884c\uff0c\u76f8\u9047\u540e\u7ecf\u8fc71.5\u79d2(s)\u4e24\u8f66\u9519\u8fc7\uff0c\u82e5\u540c\u5411\u800c\u884c\u76f8\u9047\u540e\u7ecf6\u79d2\u4e24\u8f66\u9519\u8fc7\uff0c\u6c42\u7532\u4e59\u4e24\u706b\u8f66\u7684\u901f\u5ea6\uff0e
28\uff0e\u7532\u4e59\u4e24\u751f\u4ea7\u5c0f\u961f\u5171\u540c\u79cd\u83dc\uff0c\u79cd\u4e864\u5929\u540e\uff0c\u7531\u7532\u961f\u5355\u72ec\u5b8c\u6210\u5269\u4e0b\u7684\uff0c\u53c8\u75282\u5929\u5b8c\u6210\uff0e\u82e5\u7532\u5355\u72ec\u5b8c\u6210\u6bd4\u4e59\u5355\u72ec\u5b8c\u6210\u5168\u90e8\u4efb\u52a1\u5feb3\u5929\uff0e\u6c42\u7532\u4e59\u5355\u72ec\u5b8c\u6210\u5404\u7528\u591a\u5c11\u5929\uff1f
29\uff0e\u4e00\u8239\u5411\u76f8\u8ddd240\u6d77\u91cc\u7684\u67d0\u6e2f\u51fa\u53d1\uff0c\u5230\u8fbe\u76ee\u7684\u5730\u524d48\u6d77\u91cc\u5904\uff0c\u901f\u5ea6\u6bcf\u5c0f\u65f6\u51cf\u5c1110\u6d77\u91cc\uff0c\u5230\u8fbe\u540e\u6240\u7528\u7684\u5168\u90e8\u65f6\u95f4\u4e0e\u539f\u901f\u5ea6\u6bcf\u5c0f\u65f6\u51cf\u5c114\u6d77\u91cc\u822a\u884c\u5168\u7a0b\u6240\u7528\u7684\u65f6\u95f4\u76f8\u7b49\uff0c\u6c42\u539f\u6765\u7684\u901f\u5ea6\uff0e
30\uff0e\u67d0\u5de5\u5382\u7532\u4e59\u4e24\u4e2a\u8f66\u95f4\uff0c\u53bb\u5e74\u8ba1\u5212\u5b8c\u6210\u7a0e\u5229750\u4e07\u5143\uff0c\u7ed3\u679c\u7532\u8f66\u95f4\u8d85\u989d15\uff05\u5b8c\u6210\u8ba1\u5212\uff0c\u4e59\u8f66\u95f4\u8d85\u989d10\uff05\u5b8c\u6210\u8ba1\u5212\uff0c\u4e24\u8f66\u95f4\u5171\u540c\u5b8c\u6210\u7a0e\u5229845\u4e07\u5143\uff0c\u6c42\u53bb\u5e74\u8fd9\u4e24\u4e2a\u8f66\u95f4\u5206\u522b\u5b8c\u6210\u7a0e\u5229\u591a\u5c11\u4e07\u5143\uff1f
31\uff0e\u5df2\u77e5\u7532\u4e59\u4e24\u79cd\u5546\u54c1\u7684\u539f\u4ef7\u4e4b\u548c\u4e3a150\u5143\uff0e\u56e0\u5e02\u573a\u53d8\u5316\uff0c\u7532\u5546\u54c1\u964d\u4ef710\uff05\uff0c\u4e59\u5546\u54c1\u63d0\u4ef720\uff05\uff0c\u8c03\u4ef7\u540e\u7532\u4e59\u4e24\u79cd\u5546\u54c1\u7684\u5355\u4ef7\u4e4b\u548c\u6bd4\u539f\u5355\u4ef7\u4e4b\u548c\u964d\u4f4e\u4e861\uff05\uff0c\u6c42\u7532\u4e59\u4e24\u79cd\u5546\u54c1\u539f\u5355\u4ef7\u5404\u662f\u591a\u5c11\uff1f
32\uff0e\u5c0f\u7ea2\u53bb\u5e74\u6691\u5047\u5728\u5546\u5e97\u4e70\u4e862\u628a\u513f\u7ae5\u7259\u5237\u548c3\u652f\u7259\u818f\uff0c\u6b63\u597d\u628a\u5e26\u53bb\u7684\u94b1\u7528\u5b8c\uff0e\u5df2\u77e5\u6bcf\u652f\u7259\u818f\u6bd4\u6bcf\u628a\u7259\u5237\u591a1\u5143\uff0c\u4eca\u5e74\u6691\u5047\u5979\u53c8\u5e26\u540c\u6837\u7684\u94b1\u53bb\u8be5\u5546\u5e97\u4e70\u540c\u6837\u7684\u7259\u5237\u548c\u7259\u818f\uff0c\u56e0\u4e3a\u4eca\u5e74\u7684\u7259\u5237\u6bcf\u628a\u6da8\u52301.68\u5143\uff0c\u7259\u818f\u6bcf\u652f\u6da8\u4ef730\uff05\uff0c\u5c0f\u7ea2\u53ea\u597d\u4e702\u628a\u7259\u5237\u548c2\u652f\u7259\u818f\uff0c\u7ed3\u679c\u627e\u56de4\u89d2\u94b1\uff0e\u8bd5\u95ee\u53bb\u5e74\u6691\u5047\u6bcf\u628a\u7259\u5237\u591a\u5c11\u94b1\uff1f\u6bcf\u652f\u7259\u818f\u591a\u5c11\u94b1\uff1f
33\uff0e\u67d0\u5546\u573a\u5982\u679c\u5c06\u8fdb\u8d27\u5355\u4ef7\u4e3a8\u5143\u7684\u5546\u54c1\uff0c\u6309\u6bcf\u4ef612\u5143\u5356\u51fa\uff0c\u6bcf\u5929\u53ef\u552e\u51fa400\u4ef6\uff0c\u636e\u7ecf\u9a8c\uff0c\u82e5\u6bcf\u4ef6\u5c11\u53561\u5143\uff0c\u5219\u6bcf\u5929\u53ef\u591a\u5356\u51fa200\u4ef6\uff0c\u95ee\u6bcf\u4ef6\u5e94\u51cf\u4ef7\u591a\u5c11\u5143\u624d\u53ef\u83b7\u5f97\u6700\u597d\u7684\u6548\u76ca\uff1f
34\uff0e\u4eceA\u9547\u5230B\u9547\u7684\u8ddd\u79bb\u662f28\u5343\u7c73\uff0c\u4eca\u6709\u7532\u9a91\u81ea\u884c\u8f66\u75280\uff0e4\u5343\u7c73/\u5206\u949f\u7684\u901f\u5ea6\uff0c\u4eceA\u9547\u51fa\u53d1\u9a76\u5411B\u9547\uff0c25\u5206\u949f\u4ee5\u540e\uff0c\u4e59\u9a91\u81ea\u884c\u8f66\uff0c\u75280\uff0e6\u5343\u7c73/\u5206\u949f\u7684\u901f\u5ea6\u8ffd\u7532\uff0c\u8bd5\u95ee\u591a\u5c11\u5206\u949f\u540e\u8ffd\u4e0a\u7532\uff1f
35\uff0e\u73b0\u6709\u4e09\u79cd\u5408\u91d1\uff1a\u7b2c\u4e00\u79cd\u542b\u94dc60\uff05\uff0c\u542b\u953040\uff05\uff1b\u7b2c\u4e8c\u79cd\u542b\u953010\uff05\uff0c\u542b\u954d90\uff05\uff1b\u7b2c\u4e09\u79cd\u542b\u94dc20\uff05\uff0c\u542b\u953050\uff05\uff0c\u542b\u954d30\uff05\uff0e\u73b0\u5404\u53d6\u9002\u5f53\u91cd\u91cf\u7684\u8fd9\u4e09\u79cd\u5408\u91d1\uff0c\u7ec4\u6210\u4e00\u5757\u542b\u954d45\uff05\u7684\u65b0\u5408\u91d1\uff0c\u91cd\u91cf\u4e3a1\u5343\u514b\uff0e
(1)\u8bd5\u7528\u65b0\u5408\u91d1\u4e2d\u7b2c\u4e00\u79cd\u5408\u91d1\u7684\u91cd\u91cf\u8868\u793a\u7b2c\u4e8c\u79cd\u5408\u91d1\u7684\u91cd\u91cf\uff1b
(2)\u6c42\u65b0\u5408\u91d1\u4e2d\u542b\u7b2c\u4e8c\u79cd\u5408\u91d1\u7684\u91cd\u91cf\u8303\u56f4\uff1b
(3)\u6c42\u65b0\u5408\u91d1\u4e2d\u542b\u9530\u7684\u91cd\u91cf\u8303\u56f4\uff0e
36.\u6709\u7532\uff0c\u4e59\u4e24\u4e2a\u591a\u8fb9\u5f62\uff0c\u7532\u591a\u8fb9\u5f62\u7684\u8fb9\u6570\u53ca\u5185\u89d2\u548c\u5206\u522b\u662f\u4e59\u591a\u8fb9\u5f62\u7684\u8fb9\u6570\u53ca\u5185\u89d2\u548c\u76842\u500d\u548c4\u500d\uff0c\u80fd\u786e\u5b9a\u5b83\u4eec\u5404\u662f\u51e0\u8fb9\u5f62\u5417\uff1f
37.\u4e24\u4e2a\u6b63\u591a\u8fb9\u5f62\u8fb9\u6570\u4e3a1\uff1a2\u5185\u89d2\u5ea6\u6570\u6bd4\u4e3a2\uff1a3\u6c42\u8fd9\u4e24\u4e2a\u591a\u8fb9\u5f62
38.\u5df2\u77e5a\u3001b\u3001c\u4e09\u4e2a\u6570\u4e2d\u6709\u4e24\u4e2a\u5947\u6570\u3001\u4e00\u4e2a\u5076\u6570\uff0cn\u662f\u6574\u6570\u3002\u5982\u679cS=(a+n+1)(b+2n+2)(c+3n+3),\u90a3\u4e48s\u662f\u4ec0\u4e48\u6570\uff1f
39. \u7528100\u5143\u4e70100\u652f\u7b14\uff0c\u94c5\u7b14\u6bcf\u652f3\u5143\uff0c\u5706\u73e0\u7b14\u6bcf\u652f5\u5143\uff0c\u7ea2\u7b145\u652f1\u5143\uff0c\u6bcf \u79cd\u7b14\u90fd\u8981\u6709\uff0c\u95ee\u6bcf\u79cd\u7b14\u7684\u6570\u91cf
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46.\u5df2\u77e5(m+n)*(m+n)+|m|=m,|2m-n-2|=0,\u6c42mn\u7684\u503c
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49.\u5982\u4e0b\u56fe,\u7b2c100\u884c\u7684\u7b2c5\u4e2a\u6570\u662f\u51e0?
1
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\u5373 KF=FL\uff0e \uff0bb1=9\uff0ca+a1=9\uff0c\u4e8e\u662fa+b+c\uff0ba1\uff0bb1+c1=9\uff0b9+9\uff0c\u53732(a\u5341b\uff0bc)=27\uff0c\u77db\u76fe\uff01
20\uff0e\u7b54\u6848\u662f\u5426\u5b9a\u7684\uff0e\u8bbe\u6a2a\u884c\u6216\u7ad6\u5217\u4e0a\u5305\u542bk\u4e2a\u9ed1\u8272\u65b9\u683c\u53ca8-k\u4e2a\u767d\u8272\u65b9\u683c\uff0c\u5176\u4e2d0\u2264k\u22648\uff0e\u5f53\u6539\u53d8\u65b9\u683c\u7684\u989c\u8272\u65f6\uff0c\u5f97\u52308-k\u4e2a\u9ed1\u8272\u65b9\u683c\u53cak\u4e2a\u767d\u8272\u65b9\u683c\uff0e\u56e0\u6b64\uff0c\u64cd\u4f5c\u4e00\u6b21\u540e\uff0c\u9ed1\u8272\u65b9\u683c\u7684\u6570\u76ee\u201c\u589e\u52a0\u4e86\u201d(8-k)-k=8-2k\u4e2a\uff0c\u5373\u589e\u52a0\u4e86\u4e00\u4e2a\u5076\u6570\uff0e\u4e8e\u662f\u65e0\u8bba\u5982\u4f55\u64cd\u4f5c\uff0c\u65b9\u683c\u7eb8\u4e0a\u9ed1\u8272\u65b9\u683c\u6570\u76ee\u7684\u5947\u5076\u6027\u4e0d\u53d8\uff0e\u6240\u4ee5\uff0c\u4ece\u539f\u6709\u768432\u4e2a\u9ed1\u8272\u65b9\u683c(\u5076\u6570\u4e2a)\uff0c\u7ecf\u8fc7\u64cd\u4f5c\uff0c\u6700\u540e\u603b\u662f\u5076\u6570\u4e2a\u9ed1\u8272\u65b9\u683c\uff0c\u4e0d\u4f1a\u5f97\u5230\u6070\u6709\u4e00\u4e2a\u9ed1\u8272\u65b9\u683c\u7684\u65b9\u683c\u7eb8\uff0e
21\uff0e\u5927\u4e8e3\u7684\u8d28\u6570p\u53ea\u80fd\u5177\u67096k\uff0b1\uff0c6k\uff0b5\u7684\u5f62\u5f0f\uff0e\u82e5p=6k\uff0b1(k\u22651)\uff0c\u5219p+2=3(2k\uff0b1)\u4e0d\u662f\u8d28\u6570\uff0c\u6240\u4ee5\uff0c p=6k\uff0b5(k\u22650)\uff0e\u4e8e\u662f\uff0cp\uff0b1=6k\uff0b6\uff0c\u6240\u4ee5\uff0c6\uff5c(p\uff0b1)\uff0e
22\uff0e\u7531\u9898\u8bbe\u6761\u4ef6\u77e5n=75k=3\u00d752\u00d7k\uff0e\u6b32\u4f7fn\u5c3d\u53ef\u80fd\u5730\u5c0f\uff0c\u53ef\u8bben=2\u03b13\u03b25\u03b3(\u03b2\u22651\uff0c\u03b3\u22652)\uff0c\u4e14\u6709 (\u03b1+1)(\u03b2+1)(\u03b3\uff0b1)=75\uff0e
\u4e8e\u662f\u03b1\uff0b1\uff0c\u03b2+1\uff0c\u03b3\uff0b1\u90fd\u662f\u5947\u6570\uff0c\u03b1\uff0c\u03b2\uff0c\u03b3\u5747\u4e3a\u5076\u6570\uff0e\u6545\u53d6\u03b3=2\uff0e\u8fd9\u65f6 (\u03b1+1)(\u03b2+1)=25\uff0e
\u6240\u4ee5 \u6545(\u03b1\uff0c\u03b2)=(0\uff0c24)\uff0c\u6216(\u03b1\uff0c\u03b2)=(4\uff0c4)\uff0c\u5373n=20•324•52
23\uff0e\u8bbe\u51f3\u5b50\u6709x\u53ea\uff0c\u6905\u5b50\u6709y\u53ea\uff0c\u7531\u9898\u610f\u5f97 3x\uff0b4y+2(x+y)\uff1d43\uff0c
\u5373 5x+6y\uff1d43\uff0e
\u6240\u4ee5x=5\uff0cy=3\u662f\u552f\u4e00\u7684\u975e\u8d1f\u6574\u6570\u89e3\uff0e\u4ece\u800c\u623f\u95f4\u91cc\u67098\u4e2a\u4eba\uff0e
24\uff0e\u539f\u65b9\u7a0b\u53ef\u5316\u4e3a
7x-8y+2z\uff1d5\uff0e
\u4ee47x-8y=t\uff0ct\uff0b2z=5\uff0e\u6613\u89c1x=7t\uff0cy=6t\u662f7x-8y=t\u7684\u4e00\u7ec4\u6574\u6570\u89e3\uff0e\u6240\u4ee5\u5b83\u7684\u5168\u90e8\u6574\u6570\u89e3\u662f
\u800ct=1\uff0cz=2\u662ft\uff0b2z=5\u7684\u4e00\u7ec4\u6574\u6570\u89e3\uff0e\u5b83\u7684\u5168\u90e8\u6574\u6570\u89e3\u662f
\u628at\u7684\u8868\u8fbe\u5f0f\u4ee3\u5230x\uff0cy\u7684\u8868\u8fbe\u5f0f\u4e2d\uff0c\u5f97\u5230\u539f\u65b9\u7a0b\u7684\u5168\u90e8\u6574\u6570\u89e3\u662f
25\uff0e(1)\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\u67098\u79cd\u9009\u62e9\u65b9\u6cd5\uff0c\u7b2c\u4e8c\u4e2a\u4f4d\u7f6e\u53ea\u67097\u79cd\u9009\u62e9\u65b9\u6cd5\uff0c\u2026\uff0c\u7531\u4e58\u6cd5\u539f\u7406\uff0c\u7537\u3001\u5973\u5404\u6709 8\u00d77\u00d76\u00d75\u00d74\u00d73\u00d72\u00d71\uff1d40320
\u79cd\u4e0d\u540c\u6392\u5217\uff0e\u53c8\u4e24\u5217\u95f4\u6709\u4e00\u76f8\u5bf9\u4f4d\u7f6e\u5173\u7cfb\uff0c\u6240\u4ee5\u5171\u67092\u00d7403202\u79cd\u4e0d\u540c\u60c5\u51b5\uff0e
(2)\u9010\u4e2a\u8003\u8651\u7ed3\u5bf9\u95ee\u9898\uff0e
\u4e0e\u7537\u7532\u7ed3\u5bf9\u67098\u79cd\u53ef\u80fd\u60c5\u51b5\uff0c\u4e0e\u7537\u4e59\u7ed3\u5bf9\u67097\u79cd\u4e0d\u540c\u60c5\u51b5\uff0c\u2026\uff0c\u4e14\u4e24\u5217\u53ef\u5bf9\u6362\uff0c\u6240\u4ee5\u5171\u6709 2\u00d78\u00d77\u00d76\u00d75\u00d74\u00d73\u00d72\u00d71=80640 \u79cd\u4e0d\u540c\u60c5\u51b5\uff0e
26\uff0e\u4e07\u4f4d\u662f5\u7684\u67094\u00d73\u00d72\u00d71=24(\u4e2a)\uff0e
\u4e07\u4f4d\u662f4\u7684\u6709 4\u00d73\u00d72\u00d71=24(\u4e2a)\uff0e
\u4e07\u4f4d\u662f3\uff0c\u5343\u4f4d\u53ea\u80fd\u662f5\u62164\uff0c\u5343\u4f4d\u662f5\u7684\u67093\u00d72\u00d71=6\u4e2a\uff0c\u5343\u4f4d\u662f4\u7684\u6709\u5982\u4e0b4\u4e2a\uff1a
34215\uff0c34251\uff0c34512\uff0c34521\uff0e
\u6240\u4ee5\uff0c\u603b\u5171\u6709 24+24\uff0b6+4\uff1d58
\u4e2a\u6570\u5927\u4e8e34152\uff0e
27\uff0e\u4e24\u8f66\u9519\u8fc7\u6240\u8d70\u8fc7\u7684\u8ddd\u79bb\u4e3a\u4e24\u8f66\u957f\u4e4b\u603b\u548c\uff0c\u5373 92\uff0b84=176(\u7c73)\uff0e
\u8bbe\u7532\u706b\u8f66\u901f\u5ea6\u4e3ax\u7c73/\u79d2\uff0c\u4e59\u706b\u8f66\u901f\u5ea6\u4e3ay\u7c73/\u79d2\uff0e\u4e24\u8f66\u76f8\u5411\u800c\u884c\u65f6\u7684\u901f\u5ea6\u4e3ax+y\uff1b\u4e24\u8f66\u540c\u5411\u800c\u884c\u65f6\u7684\u901f\u5ea6\u4e3ax-y\uff0c\u4f9d\u9898\u610f\u6709
\u89e3\u4e4b\u5f97
\u89e3\u4e4b\u5f97x=9(\u5929)\uff0cx\uff0b3=12(\u5929)\uff0e
\u89e3\u4e4b\u5f97x=16(\u6d77\u91cc/\u5c0f\u65f6)\uff0e
\u7ecf\u68c0\u9a8c\uff0cx=16\u6d77\u91cc/\u5c0f\u65f6\u4e3a\u6240\u6c42\u4e4b\u539f\u901f\uff0e
30\uff0e\u8bbe\u7532\u4e59\u4e24\u8f66\u95f4\u53bb\u5e74\u8ba1\u5212\u5b8c\u6210\u7a0e\u5229\u5206\u522b\u4e3ax\u4e07\u5143\u548cy\u4e07\u5143\uff0e\u4f9d\u9898\u610f\u5f97
\u89e3\u4e4b\u5f97
\u6545\u7532\u8f66\u95f4\u8d85\u989d\u5b8c\u6210\u7a0e\u5229
\u4e59\u8f66\u95f4\u8d85\u989d\u5b8c\u6210\u7a0e\u5229
\u6240\u4ee5\u7532\u5171\u5b8c\u6210\u7a0e\u5229400+60=460(\u4e07\u5143)\uff0c\u4e59\u5171\u5b8c\u6210\u7a0e\u5229350+35=385(\u4e07\u5143)\uff0e
31\uff0e\u8bbe\u7532\u4e59\u4e24\u79cd\u5546\u54c1\u7684\u539f\u5355\u4ef7\u5206\u522b\u4e3ax\u5143\u548cy\u5143\uff0c\u4f9d\u9898\u610f\u53ef\u5f97
\u7531\u2461\u6709
0.9x+1.2y=148.5\uff0c \u2462
\u7531\u2460\u5f97x=150-y\uff0c\u4ee3\u5165\u2462\u6709
0. 9(150-y)\uff0b1.2y\uff1d148. 5\uff0c
\u89e3\u4e4b\u5f97y=45(\u5143)\uff0c\u56e0\u800c\uff0cx=105(\u5143)\uff0e
32\uff0e\u8bbe\u53bb\u5e74\u6bcf\u628a\u7259\u5237x\u5143\uff0c\u4f9d\u9898\u610f\u5f97
2\u00d71.68\uff0b2(x+1)(1+30\uff05)=[2x\uff0b3(x+1)]-0.4\uff0c
\u5373 2\u00d71.68\uff0b2\u00d71.3+2\u00d71.3x\uff1d5x\uff0b2.6\uff0c
\u5373 2.4x=2\u00d71.68\uff0c
\u6240\u4ee5 x=1.4(\u5143)\uff0e
\u82e5y\u4e3a\u53bb\u5e74\u6bcf\u652f\u7259\u818f\u4ef7\u683c\uff0c\u5219y=1.4\uff0b1=2.4(\u5143)\uff0e
33\uff0e\u539f\u6765\u53ef\u83b7\u5229\u6da64\u00d7400=1600\u5143\uff0e\u8bbe\u6bcf\u4ef6\u51cf\u4ef7x\u5143\uff0c\u5219\u6bcf\u4ef6\u4ecd\u53ef\u83b7\u5229(4-x)\u5143\uff0c\u5176\u4e2d0\uff1cx\uff1c4\uff0e\u7531\u4e8e\u51cf\u4ef7\u540e\uff0c\u6bcf\u5929\u53ef\u5356\u51fa(400+200x)\u4ef6\uff0c\u82e5\u8bbe\u6bcf\u5929\u83b7\u5229y\u5143\uff0c\u5219
y\uff1d(4-x)(400+200x)
\uff1d200(4-x)(2+x)
=200(8\uff0b2x-x2)
=-200(x2-2x+1)\uff0b200+1600
=-200(x-1)2+1800\uff0e
\u6240\u4ee5\u5f53x=1\u65f6\uff0cy\u6700\u5927=1800(\u5143)\uff0e\u5373\u6bcf\u4ef6\u51cf\u4ef71\u5143\u65f6\uff0c\u83b7\u5229\u6700\u5927\uff0c\u4e3a1800\u5143\uff0c\u6b64\u65f6\u6bd4\u539f\u6765\u591a\u5356\u51fa200\u4ef6\uff0c\u56e0\u6b64\u591a\u83b7\u5229200\u5143\uff0e
34\uff0e\u8bbe\u4e59\u7528x\u5206\u949f\u8ffd\u4e0a\u7532\uff0c\u5219\u7532\u5230\u88ab\u8ffd\u4e0a\u7684\u5730\u70b9\u5e94\u8d70\u4e86(25+x)\u5206\u949f\uff0c\u6240\u4ee5\u7532\u4e59\u4e24\u4eba\u8d70\u7684\u8def\u7a0b\u5206\u522b\u662f0\uff0e4(25+x)\u5343\u7c73\u548c0\uff0e6x\u5343\u7c73\uff0e\u56e0\u4e3a\u4e24\u4eba\u8d70\u7684\u8def\u7a0b\u76f8\u7b49\uff0c\u6240\u4ee5
0.4(25+x)=0.6x\uff0c
\u89e3\u4e4b\u5f97x=50\u5206\u949f\uff0e\u4e8e\u662f
\u5de6\u8fb9=0.4(25\uff0b50)=30(\u5343\u7c73)\uff0c
\u53f3\u8fb9= 0.6\u00d750=30(\u5343\u7c73)\uff0c
\u5373\u4e59\u752850\u5206\u949f\u8d70\u4e8630\u5343\u7c73\u624d\u80fd\u8ffd\u4e0a\u7532\uff0e\u4f46A\uff0cB\u4e24\u9547\u4e4b\u95f4\u53ea\u670928\u5343\u7c73\uff0e\u56e0\u6b64\uff0c\u5230B\u9547\u4e3a\u6b62\uff0c\u4e59\u8ffd\u4e0d\u4e0a\u7532\uff0e
35\uff0e(1)\u8bbe\u65b0\u5408\u91d1\u4e2d\uff0c\u542b\u7b2c\u4e00\u79cd\u5408\u91d1x\u514b(g)\uff0c\u7b2c\u4e8c\u79cd\u5408\u91d1y\u514b\uff0c\u7b2c\u4e09\u79cd\u5408\u91d1z\u514b\uff0c\u5219\u4f9d\u9898\u610f\u6709
(2)\u5f53x=0\u65f6\uff0c\u5927500\u514b\uff0e
(3)\u65b0\u5408\u91d1\u4e2d\uff0c\u542b\u9530\u91cd\u91cf\u4e3a\uff1a
x•40\uff05\uff0by•10\uff05+z•50\uff05=400-0.3x\uff0c
y=250\uff0c\u6b64\u65f6\uff0cy\u4e3a\u6700\u5c0f\uff1b\u5f53z=0\u65f6\uff0cy=500\u4e3a\u6700\u5927\uff0c\u5373250\u2264y\u2264500\uff0c\u6240\u4ee5\u5728\u65b0\u5408\u91d1\u4e2d\u7b2c\u4e8c\u79cd\u5408\u91d1\u91cd\u91cfy\u7684\u8303\u56f4\u662f\uff1a\u6700\u5c0f250\u514b\uff0c\u6700
\u800c0\u2264x\u2264500\uff0c\u6240\u4ee5\u65b0\u5408\u91d1\u4e2d\u9530\u7684\u91cd\u91cf\u8303\u56f4\u662f\uff1a\u6700\u5c0f250\u514b\uff0c\u6700\u5927400\u514b\uff0e
36.\u8bbe\u7532\u4e3a2x\u8fb9\u5f62\uff0c\u4e59\u4e3ax\u8fb9\u5f62\uff082x-2)*180=4\uff08x-2\uff09*180\u89e3\u5f97x=3\u6240\u4ee5\u7532\u4e3a\u516d\u8fb9\u5f62\uff0c\u4e59\u4e3a\u4e09\u89d2\u5f62
37.\u8bbe\u5c11\u7684\u90a3\u591a\u8fb9\u5f62\u4e2a\u8fb9\u6570\u4e3ax,\u5219\u53e6\u4e00\u4e2a\u4e3a2x,\u7531\u591a\u8fb9\u5f62\u5185\u89d2\u548c\u516c\u5f0f\u5f97\u4e24\u4e2a\u591a\u8fb9\u5f62\u7684\u5185\u89d2\u548c\u5206\u522b\u4e3a:(x-2)180\u548c(2x-2)180.\u5219\u5404\u5185\u89d2\u5ea6\u6570\u4e3a\uff1aa:(x-2)180/x \u548cb:(2x-2)180/2x\uff0c\u7531a:b=2:3,\u53ef\u89e3\u5f97\uff1ax=4\u3002\u6240\u4ee5\u4e00\u4e2a\u591a\u8fb9\u5f62\u662f\u56db\u8fb9\u5f62\uff0c\u53e6\u4e00\u4e2a\u662f\u516b\u8fb9\u5f62\u3002
38.S=(a+n+1)(b+2n+2)(c+3n+3)
\u6ce8\u610f\u5230\u82e5b\u662f\u5076\u6570\uff0c\u5219b+2n+2\u662f\u5076\u6570\uff0c\u6240\u4ee5\uff0cS\u662f\u5076\u6570
\u82e5b\u662f\u5947\u6570\uff0c\u5219a,c\u4e00\u4e2a\u5947\u6570\uff0c\u4e00\u4e2a\u5076\u6570
\u800c\u6b64\u65f6\uff0ca+n+1\u4e0ec+3n+3\u5947\u5076\u6027\u4e0d\u540c\uff0c\u4ed6\u4eec\u4e58\u79ef\u4e3a\u5076\u6570\uff0c\u6240\u4ee5\uff0cS\u662f\u5076\u6570
\u56e0\u6b64\uff0cS\u6c38\u8fdc\u662f\u5076\u6570
39.\u8bbe\u94c5\u7b14\uff0c\u5706\u73e0\u7b14\uff0c\u7ea2\u7b14\u5206\u522b\u4e3ax,y,z\u652f
x+y+z=100
3x+5y+(1/5)z=100
x=200-2.4z
y=1,4z-100
z\u5c0f\u4e8e250\uff0f3\uff0c\u5927\u4e8e500\uff0f7
\u7531x,y,z\u90fd\u662f\u6b63\u6574\u6570\u5f97
z=80\u621675
x=8\u621620,y=12\u62165
40.\u4e00,\u7532\u5148\u62ff\u4e09\u5f20,\u7136\u540e\u4e59\u65e0\u8bba\u62ff\u591a\u5c11\u5f20,\u7532\u90fd\u62ff\u4e0e\u4e4b\u548c\u4e3a5\u7684\u6570 ,\u5373\u4e59\u62ff2\u7532\u62ff3,\u4e59\u62ff1\u7532\u62ff4,\u5230\u6700\u540e,\u4e59\u8f93
\u82e5a\u4e0eb\u4e92\u4e3a\u5012\u6570\uff0c\u4e14m\u4e0en\u4e92\u4e3a\u76f8\u53cd\u6570\uff0c\u6c42m\u00f7ab\u2014\uff08\u2014n\uff09\u00f7ab\u7684\u503c
\u56e0\u4e3aa\u4e0eb\u4e92\u4e3a\u5012\u6570\uff0c\u6240\u4ee5ab=1
\u53c8\u56e0\u4e3am\u4e0en\u4e92\u4e3a\u76f8\u53cd\u6570\uff0c\u6240\u4ee5m+n=0
\u5373m\u00f7ab\u2014\uff08\u2014n\uff09\u00f7ab=m-\uff08-n\uff09=m+n=0
41.\u4e5d\u70b9\u4e09\u5341\u4e94\u5206\u4e8c\u5341\u79d2\u65f6,\u663e\u7136\u5206\u9488\u572835\u4e0e36\u4e4b\u95f4,\u6b64\u65f6\u8ba1\u7b97\u65f6\u9488\u7684\u4f4d\u7f6e:\u5206\u9488\u8d7060\u683c,\u65f6\u9488\u8d705\u683c,\u56e0\u6b64,\u6b64\u65f6\u65f6\u9488\u8d70\u4e86(35.3\u5206(\u537335\u520620\u79d2)/60)*5=2.94\u683c,\u6240\u4ee5\u65f6\u9488\u572847\u4e0e48\u4e4b\u95f4,\u6240\u4ee5\u5939\u89d2\u5185\u5171\u6709\u5f69\u706f12\u4e2a\u3002
42.\u8bbe\u53ef\u4ee5\u505ax\u5f20\u65b9\u684c,\u5219
\u9700\u8981\u505ax\u5f20\u684c\u9762,4x\u6761\u684c\u817f
x*(1/50)+4x*(1/300)=5
\u89e3\u5f97 x=150
43.\u89e3:\u8bbe\u7532\u4e59\u4e24\u5730\u7684\u8ddd\u79bb\u662fx\u5343\u7c73,
\u6839\u636e\u9898\u610f\u5f97: x/(24+2)+x/(24-2)=6
\u89e3\u5f97 x=71.5
\u5219 ...........
44.\u89e3\u8bbex\u5929\u540e\u5df2\u4ed3\u7684\u5a92\u662f\u7532\u4ed3\u76842\u500d
\u5219 2*(200-15x)=70+25x
\u89e3\u5f97 x=6
45.\u89e3\u8bbe\u5411\u7532\u8f66\u95f4\u5b89\u6392x\u4eba,\u5219\u5411\u4e59\u8f66\u95f4\u5b89\u639220-x\u4eba
\u6839\u636e\u9898\u610f\u5f97 27+x=2*(19+20-x)
\u89e3\u5f97 x=17
46.\u89e3\u7b54\uff1a\u6709(m+n)*(m+n)+|m|=m\u63a8\u51fam\u30090
\u6240\u4ee5|m|=m \u6240\u4ee5(m+n)*(m+n)=0,m=-n,n<0
\u7531|2m-n-2|=0 3n=-2 n=-2/3 m=2/3
47.\u8bbe\u8239\u5728\u9759\u6c34\u4e2d\u901f\u5ea6\u4e3aV1\uff0c\u6c34\u6d41\u901f\u5ea6\u4e3aV2\uff0c\u7269\u54c1\u6389\u5165\u6c34\u4e2d\u540eXmin\u624d\u53d1\u73b0\uff0c\u5219\uff1a
x\uff08v1-v2\uff09+\uff085+x\uff09v2=5\uff08v1+v2\uff09
\u5316\u7b80\u5f97 xv1=5v1
\u6240\u4ee5x=5
5\u5206\u949f\u540e\u624d\u53d1\u73b0\u7684
48.3+4+6+10=23\uff1c24 (10-6)*4+3=19\uff1c24
10*3-4*6=6\uff1c24 (10-6+4)*3=24
49.\u7b54\u6848\u662f4955
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\u800c\u4e14\u7b2c2\u4e2a\u6bd4\u7b2c1\u4e2a\u59271\uff0e\uff0e\uff0e\uff0e\u7b2c3\u4e2a\u6bd4\u7b2c4\u4e2a\u59272\uff0e\uff0e\uff0e\uff0e\u7b2c4\u4e2a\u6bd4\u7b2c3\u4e2a\u59273\uff0e\uff0e\u7b2c5\u4e2a\u6bd4\u7b2c\u7b2c4\u4e2a\u59274\uff0e\uff0e\uff0e\uff0e\u7b2c6\u4e2a\u6bd4\u7b2c5\u4e2a\u59275\uff0e\uff0e\uff0e\uff0e\uff0e\uff0e\uff0e\uff0e\uff0e\uff0e\u6240\u4ee5\u53ef\u4ee5\u8bbe\u5de6\u8fb9\u6700\u5916\u5c42\u4e2d\u7b2cn\u4e2a\u6570\u4e3ax \u5219x\u7b49\u4e8e\u30141\u52a02\u52a03\u52a0\u2026\u2026\u52a0\u3008n\u20141\u3009\u3015\uff0e\uff0e\uff0e\uff0e\uff0e\uff0e\uff0e\u6240\u4ee5\u7b2c100\u884c\u7684\u7b2c1\u4e2a\u6570\u4e3a\u30141\u52a02\u52a03\u52a0\u2026\u2026\u52a0\u3008100\u20141\u3009\u3015\u7b49\u4e8e4951
\u6240\u4ee5\u7b2c100\u884c\u7b2c5\u4e2a\u6570\u4e3a4955
50.2x+|4-5x|+|1-3x|+4\u7684\u503c\u6052\u4e3a\u5e38\u6570,\u5219
4-5X\u22650,1-3X\u22640
\u6240\u4ee5:1/3\u2264X\u22644/5
\u539f\u5f0f=2X+4-5X+3X-1+4=7
\u7d2f\u6b7b\u6211\u4e86 \u5e0c\u671b\u6ee1\u610f
\u4e00\u3001\u9009\u62e9\u9898\uff08\u6bcf\u98981\u5206\uff0c\u517110\u5206\uff09
1\uff0e\u5982\u679ca\uff0cb\u90fd\u4ee3\u8868\u6709\u7406\u6570\uff0c\u5e76\u4e14a\uff0bb=0\uff0c\u90a3\u4e48 ( )
A\uff0ea\uff0cb\u90fd\u662f0\uff0e B\uff0ea\uff0cb\u4e4b\u4e00\u662f0\uff0eC\uff0ea\uff0cb\u4e92\u4e3a\u76f8\u53cd\u6570\uff0eD\uff0ea\uff0cb\u4e92\u4e3a\u5012\u6570\uff0e
2\uff0e\u4e0b\u9762\u7684\u8bf4\u6cd5\u4e2d\u6b63\u786e\u7684\u662f ( )
A\uff0e\u5355\u9879\u5f0f\u4e0e\u5355\u9879\u5f0f\u7684\u548c\u662f\u5355\u9879\u5f0f\uff0eB\uff0e\u5355\u9879\u5f0f\u4e0e\u5355\u9879\u5f0f\u7684\u548c\u662f\u591a\u9879\u5f0f\uff0e
C\uff0e\u591a\u9879\u5f0f\u4e0e\u591a\u9879\u5f0f\u7684\u548c\u662f\u591a\u9879\u5f0f\uff0eD\uff0e\u6574\u5f0f\u4e0e\u6574\u5f0f\u7684\u548c\u662f\u6574\u5f0f\uff0e
3\uff0e\u4e0b\u9762\u8bf4\u6cd5\u4e2d\u4e0d\u6b63\u786e\u7684\u662f ( )
A. \u6709\u6700\u5c0f\u7684\u81ea\u7136\u6570\uff0e B\uff0e\u6ca1\u6709\u6700\u5c0f\u7684\u6b63\u6709\u7406\u6570\uff0e
C\uff0e\u6ca1\u6709\u6700\u5927\u7684\u8d1f\u6574\u6570\uff0e D\uff0e\u6ca1\u6709\u6700\u5927\u7684\u975e\u8d1f\u6570\uff0e
4\uff0e\u5982\u679ca\uff0cb\u4ee3\u8868\u6709\u7406\u6570\uff0c\u5e76\u4e14a\uff0bb\u7684\u503c\u5927\u4e8ea\uff0db\u7684\u503c\uff0c\u90a3\u4e48 ( )
A\uff0ea\uff0cb\u540c\u53f7\uff0e B\uff0ea\uff0cb\u5f02\u53f7\uff0eC\uff0ea\uff1e0\uff0e D\uff0eb\uff1e0\uff0e
5\uff0e\u5927\u4e8e\uff0d\u03c0\u5e76\u4e14\u4e0d\u662f\u81ea\u7136\u6570\u7684\u6574\u6570\u6709 ( )
A\uff0e2\u4e2a\uff0e B\uff0e3\u4e2a\uff0eC\uff0e4\u4e2a\uff0e D\uff0e\u65e0\u6570\u4e2a\uff0e
6\uff0e\u6709\u56db\u79cd\u8bf4\u6cd5\uff1a
\u7532\uff0e\u6b63\u6570\u7684\u5e73\u65b9\u4e0d\u4e00\u5b9a\u5927\u4e8e\u5b83\u672c\u8eab\uff1b\u4e59\uff0e\u6b63\u6570\u7684\u7acb\u65b9\u4e0d\u4e00\u5b9a\u5927\u4e8e\u5b83\u672c\u8eab\uff1b
\u4e19\uff0e\u8d1f\u6570\u7684\u5e73\u65b9\u4e0d\u4e00\u5b9a\u5927\u4e8e\u5b83\u672c\u8eab\uff1b\u4e01\uff0e\u8d1f\u6570\u7684\u7acb\u65b9\u4e0d\u4e00\u5b9a\u5927\u4e8e\u5b83\u672c\u8eab\uff0e
\u8fd9\u56db\u79cd\u8bf4\u6cd5\u4e2d\uff0c\u4e0d\u6b63\u786e\u7684\u8bf4\u6cd5\u7684\u4e2a\u6570\u662f ( )
A\uff0e0\u4e2a\uff0e B\uff0e1\u4e2a\uff0eC\uff0e2\u4e2a\uff0e D\uff0e3\u4e2a\uff0e
7\uff0ea\u4ee3\u8868\u6709\u7406\u6570\uff0c\u90a3\u4e48\uff0ca\u548c\uff0da\u7684\u5927\u5c0f\u5173\u7cfb\u662f ( )
A\uff0ea\u5927\u4e8e\uff0da\uff0eB\uff0ea\u5c0f\u4e8e\uff0da\uff0eC\uff0ea\u5927\u4e8e\uff0da\u6216a\u5c0f\u4e8e\uff0da\uff0eD\uff0ea\u4e0d\u4e00\u5b9a\u5927\u4e8e\uff0da\uff0e
8\uff0e\u5728\u89e3\u65b9\u7a0b\u7684\u8fc7\u7a0b\u4e2d\uff0c\u4e3a\u4e86\u4f7f\u5f97\u5230\u7684\u65b9\u7a0b\u548c\u539f\u65b9\u7a0b\u540c\u89e3\uff0c\u53ef\u4ee5\u5728\u539f\u65b9\u7a0b\u7684\u4e24\u8fb9( )
A\uff0e\u4e58\u4ee5\u540c\u4e00\u4e2a\u6570\uff0eB\uff0e\u4e58\u4ee5\u540c\u4e00\u4e2a\u6574\u5f0f\uff0eC\uff0e\u52a0\u4e0a\u540c\u4e00\u4e2a\u4ee3\u6570\u5f0f\uff0eD\uff0e\u90fd\u52a0\u4e0a1\uff0e
9\uff0e\u676f\u5b50\u4e2d\u6709\u5927\u534a\u676f\u6c34\uff0c\u7b2c\u4e8c\u5929\u8f83\u7b2c\u4e00\u5929\u51cf\u5c11\u4e8610%\uff0c\u7b2c\u4e09\u5929\u53c8\u8f83\u7b2c\u4e8c\u5929\u589e\u52a0\u4e8610%\uff0c\u90a3\u4e48\uff0c\u7b2c\u4e09\u5929\u676f\u4e2d\u7684\u6c34\u91cf\u4e0e\u7b2c\u4e00\u5929\u676f\u4e2d\u7684\u6c34\u91cf\u76f8\u6bd4\u7684\u7ed3\u679c\u662f( )
A\uff0e\u4e00\u6837\u591a\uff0e B\uff0e\u591a\u4e86\uff0eC\uff0e\u5c11\u4e86\uff0e D\uff0e\u591a\u5c11\u90fd\u53ef\u80fd\uff0e
10\uff0e\u8f6e\u8239\u5f80\u8fd4\u4e8e\u4e00\u6761\u6cb3\u7684\u4e24\u7801\u5934\u4e4b\u95f4\uff0c\u5982\u679c\u8239\u672c\u8eab\u5728\u9759\u6c34\u4e2d\u7684\u901f\u5ea6\u662f\u56fa\u5b9a\u7684\uff0c\u90a3\u4e48\uff0c\u5f53\u8fd9\u6761\u6cb3\u7684\u6c34\u6d41\u901f\u5ea6\u589e\u5927\u65f6\uff0c\u8239\u5f80\u8fd4\u4e00\u6b21\u6240\u7528\u7684\u65f6\u95f4\u5c06( )
A\uff0e\u589e\u591a\uff0e B\uff0e\u51cf\u5c11\uff0eC\uff0e\u4e0d\u53d8\uff0e D\uff0e\u589e\u591a\u3001\u51cf\u5c11\u90fd\u6709\u53ef\u80fd\uff0e
\u4e8c\u3001\u586b\u7a7a\u9898\uff08\u6bcf\u98981\u5206\uff0c\u517110\u5206\uff09
1. ______\uff0e
2\uff0e198919902\uff0d198919892=______\uff0e
3. =________.
4. \u5173\u4e8ex\u7684\u65b9\u7a0b \u7684\u89e3\u662f_________.
5\uff0e1\uff0d2\uff0b3\uff0d4+5\uff0d6+7\uff0d8+\u2026+4999\uff0d5000=______\uff0e
6.\u5f53x=- \u65f6,\u4ee3\u6570\u5f0f(3x3\uff0d5x2+6x\uff0d1)\uff0d(x3\uff0d2x2+x\uff0d2)+(\uff0d2x3+3x2+1)\u7684\u503c\u662f____\uff0e
7\uff0e\u5f53a=\uff0d0.2\uff0cb=0.04\u65f6\uff0c\u4ee3\u6570\u5f0f \u7684\u503c\u662f______.
8\uff0e\u542b\u76d030%\u7684\u76d0\u6c34\u670960\u5343\u514b\uff0c\u653e\u5728\u79e4\u4e0a\u84b8\u53d1\uff0c\u5f53\u76d0\u6c34\u53d8\u4e3a\u542b\u76d040%\u65f6\uff0c\u79e4\u5f97\u76d0\u6c34\u7684\u91cd\u662f______\u514b\uff0e
9.\u5236\u9020\u4e00\u6279\u96f6\u4ef6,\u6309\u8ba1\u521218\u5929\u53ef\u4ee5\u5b8c\u6210\u5b83\u7684 .\u5982\u679c\u5de5\u4f5c4\u5929\u540e,\u5de5\u4f5c\u6548\u7387\u63d0\u9ad8\u4e86 ,\u90a3\u4e48\u5b8c\u6210\u8fd9\u6279\u96f6\u4ef6\u7684\u4e00\u534a\uff0c\u4e00\u5171\u9700\u8981______\u5929\uff0e
10\uff0e\u73b0\u57284\u70b95\u5206\uff0c\u518d\u8fc7______\u5206\u949f\uff0c\u5206\u9488\u548c\u65f6\u9488\u7b2c\u4e00\u6b21\u91cd\u5408\uff0e
\u7b54\u6848\u4e0e\u63d0\u793a
\u4e00\u3001\u9009\u62e9\u9898
1\uff0eC 2\uff0eD 3\uff0eC 4\uff0eD 5\uff0eC 6\uff0eB 7\uff0eD 8\uff0eD 9\uff0eC 10\uff0eA
\u63d0\u793a\uff1a
1\uff0e\u4ee4a=2\uff0cb=\uff0d2\uff0c\u6ee1\u8db32+(\uff0d2)=0\uff0c\u7531\u6b64
2\uff0ex2\uff0c2x2\uff0cx3\u90fd\u662f\u5355\u9879\u5f0f\uff0e\u4e24\u4e2a\u5355\u9879\u5f0fx3\uff0cx2\u4e4b\u548c\u4e3ax3+x2\u662f\u591a\u9879\u5f0f\uff0c\u6392\u9664A\uff0e\u4e24\u4e2a\u5355\u9879\u5f0fx2\uff0c2x2\u4e4b\u548c\u4e3a3x2\u662f\u5355\u9879\u5f0f\uff0c\u6392\u9664B\uff0e\u4e24\u4e2a\u591a\u9879\u5f0fx3+x2\u4e0ex3\uff0dx2\u4e4b\u548c\u4e3a2x3\u662f\u4e2a\u5355\u9879\u5f0f\uff0c\u6392\u9664C\uff0c\u56e0\u6b64\u9009D\uff0e
3\uff0e1\u662f\u6700\u5c0f\u7684\u81ea\u7136\u6570\uff0cA\u6b63\u786e\uff0e\u53ef\u4ee5\u627e\u5230\u6b63
\u6240\u4ee5C\u201c\u6ca1\u6709\u6700\u5927\u7684\u8d1f\u6574\u6570\u201d\u7684\u8bf4\u6cd5\u4e0d\u6b63\u786e\uff0e\u5199\u51fa\u6269\u5927\u81ea\u7136\u6570\u5217\uff0c0\uff0c1\uff0c2\uff0c3\uff0c\u2026\uff0cn\uff0c\u2026\uff0c\u6613\u77e5\u65e0\u6700\u5927\u975e\u8d1f\u6570\uff0cD\u6b63\u786e\uff0e\u6240\u4ee5\u4e0d\u6b63\u786e\u7684\u8bf4\u6cd5\u5e94\u9009C\uff0e
5\uff0e\u5728\u6570\u8f74\u4e0a\u5bb9\u6613\u770b\u51fa\uff1a\u5728\uff0d\u03c0\u53f3\u8fb90\u7684\u5de6\u8fb9\uff08\u5305\u62ec0\u5728\u5185\uff09\u7684\u6574\u6570\u53ea\u6709\uff0d3\uff0c\uff0d2\uff0c\uff0d1\uff0c0\u51714\u4e2a\uff0e\u9009C\uff0e
6\uff0e\u753112=1\uff0c13=1\u53ef\u77e5\u7532\u3001\u4e59\u4e24\u79cd\u8bf4\u6cd5\u662f\u6b63\u786e\u7684\uff0e\u7531(\uff0d1)3=\uff0d1\uff0c\u53ef\u77e5\u4e01\u4e5f\u662f\u6b63\u786e\u7684\u8bf4\u6cd5\uff0e\u800c\u8d1f\u6570\u7684\u5e73\u65b9\u5747\u4e3a\u6b63\u6570\uff0c\u5373\u8d1f\u6570\u7684\u5e73\u65b9\u4e00\u5b9a\u5927\u4e8e\u5b83\u672c\u8eab\uff0c\u6240\u4ee5\u201c\u8d1f\u6570\u5e73\u65b9\u4e0d\u4e00\u5b9a\u5927\u4e8e\u5b83\u672c\u8eab\u201d\u7684\u8bf4\u6cd5\u4e0d\u6b63\u786e\uff0e\u5373\u4e19\u4e0d\u6b63\u786e\uff0e\u5728\u7532\u3001\u4e59\u3001\u4e19\u3001\u4e01\u56db\u4e2a\u8bf4\u6cd5\u4e2d\uff0c\u53ea\u6709\u4e191\u4e2a\u8bf4\u6cd5\u4e0d\u6b63\u786e\uff0e\u6240\u4ee5\u9009B\uff0e
7\uff0e\u4ee4a=0\uff0c\u9a6c\u4e0a\u53ef\u4ee5\u6392\u9664A\u3001B\u3001C\uff0c\u5e94\u9009D\uff0e
8\uff0e\u5bf9\u65b9\u7a0b\u540c\u89e3\u53d8\u5f62\uff0c\u8981\u6c42\u65b9\u7a0b\u4e24\u8fb9\u540c\u4e58\u4e0d\u7b49\u4e8e0\u7684\u6570\uff0e\u6240\u4ee5\u6392\u9664A\uff0e
\u6211\u4eec\u8003\u5bdf\u65b9\u7a0bx\uff0d2=0\uff0c\u6613\u77e5\u5176\u6839\u4e3ax=2\uff0e\u82e5\u8be5\u65b9\u7a0b\u4e24\u8fb9\u540c\u4e58\u4ee5\u4e00\u4e2a\u6574\u5f0fx\uff0d1\uff0c\u5f97(x\uff0d1)(x\uff0d2)=0\uff0c\u5176\u6839\u4e3ax=1\u53cax=2\uff0c\u4e0d\u4e0e\u539f\u65b9\u7a0b\u540c\u89e3\uff0c\u6392\u9664B\uff0e\u82e5\u5728\u65b9\u7a0bx\uff0d2=0\u4e24\u8fb9\u52a0\u4e0a\u540c\u4e00\u4e2a\u4ee3\u6570\u5f0f \u53bb\u4e86\u539f\u65b9\u7a0bx=2\u7684\u6839\uff0e\u6240\u4ee5\u5e94\u6392\u9664C\uff0e\u4e8b\u5b9e\u4e0a\u65b9\u7a0b\u4e24\u8fb9\u540c\u65f6\u52a0\u4e0a\u4e00\u4e2a\u5e38\u6570\uff0c\u65b0\u65b9\u7a0b\u4e0e\u539f\u65b9\u7a0b\u540c\u89e3\uff0c\u5bf9D\uff0c\u8fd9\u91cc\u6240\u52a0\u5e38\u6570\u4e3a1\uff0c\u56e0\u6b64\u9009D\uff0e
9\uff0e\u8bbe\u676f\u4e2d\u539f\u6709\u6c34\u91cf\u4e3aa\uff0c\u4f9d\u9898\u610f\u53ef\u5f97\uff0c
\u7b2c\u4e8c\u5929\u676f\u4e2d\u6c34\u91cf\u4e3aa\u00d7(1\uff0d10%)=0.9a\uff1b
\u7b2c\u4e09\u5929\u676f\u4e2d\u6c34\u91cf\u4e3a(0.9a)\u00d7(1+10%)=0.9\u00d71.1\u00d7a\uff1b
\u7b2c\u4e09\u5929\u676f\u4e2d\u6c34\u91cf\u4e0e\u7b2c\u4e00\u5929\u676f\u4e2d\u6c34\u91cf\u4e4b\u6bd4\u4e3a
\u6240\u4ee5\u7b2c\u4e09\u5929\u676f\u4e2d\u6c34\u91cf\u6bd4\u7b2c\u4e00\u5929\u676f\u4e2d\u6c34\u91cf\u5c11\u4e86\uff0c\u9009C\uff0e
10\uff0e\u8bbe\u4e24\u7801\u5934\u4e4b\u95f4\u8ddd\u79bb\u4e3as\uff0c\u8239\u5728\u9759\u6c34\u4e2d\u901f\u5ea6\u4e3aa\uff0c\u6c34\u901f\u4e3av0\uff0c\u5219\u5f80\u8fd4\u4e00\u6b21\u6240\u7528\u65f6\u95f4\u4e3a
\u8bbe\u6cb3\u6c34\u901f\u5ea6\u589e\u5927\u540e\u4e3av\uff0c(v\uff1ev0)\u5219\u5f80\u8fd4\u4e00\u6b21\u6240\u7528\u65f6\u95f4\u4e3a
\u7531\u4e8ev\uff0dv0\uff1e0\uff0ca+v0\uff1ea\uff0dv0\uff0ca+v\uff1ea\uff0dv
\u6240\u4ee5(a+v0)(a+v)\uff1e(a\uff0dv0)(a\uff0dv)
\u2234t0\uff0dt\uff1c0\uff0c\u5373t0\uff1ct\uff0e\u56e0\u6b64\u6cb3\u6c34\u901f\u589e\u5927\u6240\u7528\u65f6\u95f4\u5c06\u589e\u591a\uff0c\u9009A\uff0e
\u4e8c\u3001\u586b\u7a7a\u9898
\u63d0\u793a\uff1a
2\uff0e198919902\uff0d198919892
=(19891990+19891989)\u00d7(19891990\uff0d19891989)
=(19891990+19891989)\u00d71=39783979\uff0e
3\uff0e\u7531\u4e8e(2+1)(22+1)(24+1)(28+1)(216+1)
=(2\uff0d1)(2+1)(22+1)(24+1)(28+1)(216+1)
=(22\uff0d1)(22+1)(24+1)(28+1)(216+1)
=(24\uff0d1)(24+1)(28+1)(216+1)
=(28\uff0d1)(28+1)(216+1)
=(216\uff0d1)(216+1)=232\uff0d1\uff0e
2(1+x)\uff0d(x\uff0d2)=8,2+2x\uff0dx+2=8\u89e3\u5f97\uff1bx=4
5\uff0e1\uff0d2+3\uff0d4+5\uff0d6+7\uff0d8+\u2026+4999\uff0d5000
=(1\uff0d2)+(3\uff0d4)+(5\uff0d6)+(7\uff0d8)+\u2026+(4999\uff0d5000)
=\uff0d2500\uff0e
6\uff0e(3x3\uff0d5x2+6x\uff0d1)\uff0d(x3\uff0d2x2+x\uff0d2)+(\uff0d2x3+3x2+1)=5x+2
7\uff0e\u6ce8\u610f\u5230\uff1a
\u5f53a=\uff0d0.2\uff0cb=0.04\u65f6\uff0ca2\uff0db=(\uff0d0.2)2\uff0d0.04=0\uff0cb+a+0.16=0.04\uff0d0.2+0.16=0\uff0e
8\uff0e\u98df\u76d030%\u7684\u76d0\u6c3460\u5343\u514b\u4e2d\u542b\u76d060\u00d730%\uff08\u5343\u514b\uff09\u8bbe\u84b8\u53d1\u53d8\u6210\u542b\u76d0\u4e3a40%\u7684\u6c34\u91cdx\u514b\uff0c\u53730.001x\u5343\u514b\uff0c\u6b64\u65f6\uff0c60\u00d730%=(0.001x)\u00d740%
\u89e3\u5f97\uff1ax=45000\uff08\u514b\uff09\uff0e
对不起，不会在网上画图，
2、 四边形ABCD中，AB=BC，角ABC=60度，P为四边形内一点，角APD=120度，证明PA+PD+PC大于等于BD
3、三角形ABC中，AB=AC，D为BC上一点，E为AD上一点，角BED=角BAC=二倍的角CED，求证BD=二倍的CD
4、ABC是等腰三角形，角B=角C=40度，将AB延长到D，使AD=BC，求证角BCD=10度
5、在三角形ABC中，AC=BC=5，角ACB=80度，O为三角形内一点，角OAB=10度，角OBA=30度，求线段AO的长
6、在三角形ABC中，角BAC=80度，角ABC=60度，D为三角形内一点，角DAB=10度，角DBA=20度，求角ACD的度数
等边△ABC中，M、N分别是边AB，AC的中点，D为MN上任意一点，BD，CD的延长线分别交于AB，AC于点E，F。若1/CE + 1/BF=6，怎样求△ABC的边长
有1-2007这2007个数，用顺时针循环写在一个圆圈里。之后把1擦掉、留下2和3。擦掉4，留下5和6......以此类推继续下去。问最后剩下的一个数是多少？
永强加工厂接到一批订单，为完成订单任务，需用a米长的材 料440根，b米长的材料480根，可采购到的原料有三种，一根甲种原料可截得a米长的材料4根，b米长的材料6根，b米长的材料2根，成本为50元；一根丙种原料可截得a米长的材料4根，成本为40元，问怎样采购，可使材料成本最低？
海滩上有一堆苹果供5只猴子享用，第一只猴子来了，它把苹果平均分成五堆，每堆一样多，还剩下一个，拿着其中的一堆离开了．第二只猴子又把剩下的平均分成五堆，又多了一个，猴子又把它扔进海里，再拿一堆走了，第三、四、五、猴子来了，都是如此，问原来至少有多少苹果？最后至 少剩下多少苹果？（请写出过程，并说明理由）
打字是多么累人是事情呢，你去离你家最近的书店拿着笔和纸，你就随便抄吧，这是最行得通的办法。
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绛旓細鏁板垪涓4鐨勫嶆暟鍏憋細2010梅4锛502鈥︹2 鑳藉琛ㄧず鎴愪袱鏁存暟骞虫柟宸殑鏁板叡锛1005锛502锛1507 鈶 锛滱脳(2锛1)锛(2锛1)(2锛1)(2²锛1)(2^4锛1)(2^8锛1)(2^16锛1)(2^32锛1)(2^64锛1)锛(2²锛1)(2²锛1)(2^4锛1)(2^8锛1)(2^16锛1)(2^32锛1)(2^64...
