【初一数学题】二元一次方程组应用题 【紧急】 初一数学列二元一次方程组解应用题大全,难度是奥数级的。好的高...

\u3010\u521d\u4e00\u6570\u5b66\u9898\u3011\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\u7684\u89e3\u6cd5\uff08\u5e94\u7528\u9898\uff09 \u3010\u7d27\u6025\u3011

2011x+2012y=4021 (1)
2012x+2011y=4025 (2)
(2)-(1),\u5f97
x-y=4 (3)
\uff081\uff09+\uff082\uff09\uff0c\u5f97
4023x+4023y=8046,\u65b9\u7a0b\u4e24\u8fb9\u540c\u65f6\u9664\u4ee54023\uff0c\u5f97
x+y=2 \uff084\uff09
\u8054\u7acb\uff083)\uff0c\uff084\uff09\u53ef\u4ee5\u5f97\u5230
x=3,y=-1

\u3000\u3000\u521d\u4e2d\u6570\u5b66\u7ade\u8d5b\u8f85\u5bfc
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

\u5e0c\u671b\u53ef\u4ee5\u5e2e\u5230\u4f60

(1)①x=-1 y=2
②x=-1 y=2
特点是解都是x=-1 y=2
(2)3x+4y=5
6x+7y=8
解:x=-1 y=2
特点是方程组中的数字依次比前一个多1

解答:﹙1﹚方程组①的解是:x=﹣1
y=2
方程组②的解是:x=﹣1
y=2
﹙2﹚ 方程组:34x+35y=36
37x+38y=39
这个方程组的解是:x=﹣1
y=2.

  1. x = -1, y = 2 ; x = -1, y = 2

  2. 3x+4y=5, 6x+7y=8; x = -1, y = 2



(1)①:x=-1 y=2

②:x=-0.5 y=5/3(三分之五)

特点:一正一负,且x都为负数,y为正数

(2)x+y=0,y-x=2 x=-1 y=1

两个方程组答案相同,都是x=-1,y=2
{3x+4y=5 ,6x+7y=8

(1)①的解为X=﹣1,Y=2.②的解和①的一样
(2)3X+4Y=5,6X+7Y=8

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