小学六年级人教版 应用题难度较大的数学题目

\u5c0f\u5b66\u516d\u5e74\u7ea7\u6570\u5b66\u6700\u96be \u5e94\u7528\u9898

1\u3001\u65f6\u949f\u7684\u6307\u9488\u5728\u56db\u70b9\u548c\u4e94\u70b9\u4e4b\u95f4\uff0c\u4f55\u65f6\u6210\u76f4\u89d2\uff1f
\u89e3\u7b54\uff1a\u5206\u9488\u4e0e\u65f6\u9488\u76f8\u5dee15\u4e2a\u5c0f\u683c\u7684\u65f6\u5019
\u6bd4\u59824\u70b9\u65f6\uff0c\u5206\u9488\u5728\u65f6\u9488\u540e20\u5c0f\u683c\uff0c\u53ea\u8981\u8ffd5\u5c0f\u683c\u5c31\u662f\u6210\u76f4\u89d2\u4e86
\u53734\u70b9\uff0820-15\uff09\u00f7\uff081-1/12)=5\u53c85/11\u5206

\u5206\u9488\u8d85\u8fc7\u65f6\u948815\u5c0f\u683c
\u62164\u70b9\uff0820+15\uff09\uff09\u00f7\uff081-1/12)=38\u53c82/11\u5206

2\u3001\u4e00\u4e2a\u65f6\u949f\u4ece\u516b\u70b9\u5f00\u59cb\uff0c\u5b83\u5728\u7ecf\u8fc7\u591a\u5c11\u5206\u949f\u65f6\u9488\u6b63\u597d\u4e0e\u5206\u9488\u7b2c\u4e00\u6b21\u91cd\u5408\uff1f
\u89e3\u7b54\uff1a\u5982\u679c\u4ece12\u65f6\u5f00\u59cb\u7684\u8bdd,\u6bcf\u969412/11\u5c0f\u65f6\u5c31\u91cd\u5408\u4e00\u6b21,\u65f6\u9488\u8f6c\u4e00\u5708\u5c31\u91cd\u540811\u6b21\uff0c
\u7b2c8\u6b21\u91cd\u5408\u7684\u65f6\u5019\u5c31\u7ecf\u8fc7\u4e8696/11\u5c0f\u65f6,\u6240\u4ee5\u4ece8\u65f6 \u5f00\u59cb,\u5c31\u9700\u8981\u7ecf\u8fc7
(96/11)-8=8/11\u5c0f\u65f6,\u4e5f\u5373\u662f44\u5206\u949f\u591a,\u7b2c\u4e00\u6b21\u91cd\u5408

\u4e00\u5206\u949f\u5206\u9488\u8d70\u4e00\u5c0f\u683c\uff0c\u8d706\u5ea6\uff0c\u5373\u89d2\u901f\u5ea6\u662f\uff1a6\u5ea6/\u5206\uff0c\u65f6\u9488\u8d701/12\u5c0f\u683c\uff0c\u8d700\u30025\u5ea6\uff0c\u5373\u89d2\u901f\u5ea6\u662f\uff1a0\u30025\u5ea6/\u5206
\u516b\u70b9\u65f6\u65f6\u9488\u8ddd12\u70b9\u662f\uff1a8*30=240\u5ea6\uff0c\u5373\u5206\u9488\u5728\u65f6\u9488\u540e240\u5ea6
\u8bbe\u7ecf\u8fc7X\u5206\u4e8c\u9488\u7b2c\u4e00\u6b21\u91cd\u5408\u3002
\u6839\u636e\u8ffd\u53ca\u539f\u7406\u5217\u65b9\u7a0b\uff1a

X[6-0\u30025]=240

X=480/11

\u5373\u5206\u9488\u548c\u65f6\u9488\u57288\u70b9480/11\u5206\u7b2c\u4e00\u6b21\u91cd\u5408\u3002

1
\u7535\u5f71\u7968\u539f\u4ef7\u6bcf\u5f20\u82e5\u5e72\u5143,\u73b0\u5728\u6bcf\u5f20\u964d\u4f4e3\u5143\u51fa\u552e,\u89c2\u4f17\u589e\u52a0\u4e00\u534a,\u6536\u5165\u589e\u52a0\u4e94\u5206\u4e4b\u4e00,\u4e00\u5f20\u7535\u5f71\u7968\u539f\u4ef7\u591a\u5c11\u5143\uff1f
\u89e3\uff1a\u8bbe\u4e00\u5f20\u7535\u5f71\u7968\u4ef7x\u5143
(x-3)\u00d7\uff081+1/2\uff09=(1+1/5)x
(1+1/5)x\u8fd9\u4e00\u6b65\u662f\u4ec0\u4e48\u610f\u601d\uff0c\u4e3a\u4ec0\u4e48\u8fd9\u4e48\u505a
(x-3){\u73b0\u5728\u7535\u5f71\u7968\u7684\u5355\u4ef7}\u00d7\uff081+1/2){\u5047\u5982\u539f\u6765\u89c2\u4f17\u603b\u6570\u4e3a\u6574\u4f531\uff0c\u5219\u73b0\u5728\u7684\u89c2\u4f17\u4eba\u6570\u4e3a\uff081+2/1)}
\u5de6\u8fb9\u7b97\u5f0f\u6c42\u51fa\u4e86\u603b\u6536\u5165
(1+1/5\uff09x{\u5176\u5b9e\u8fd9\u4e2a\u7b97\u5f0f\u5e94\u8be5\u662f\uff1a1x*\uff081+5/1\uff09 \u628a\u539f\u89c2\u4f17\u4eba\u6570\u770b\u6210\u6574\u4f531\uff0c\u5219\u539f\u6765\u5e94\u6536\u51651x\u5143\uff0c\u800c\u73b0\u5728\u589e\u52a0\u4e86\u539f\u6765\u7684\u4e94\u5206\u4e4b\u4e00\uff0c\u5c31\u5e94\u8be5\u518d*\uff081+5/1\uff09\uff0c\u51cf\u7f29\u540e\u5f97\u5230\uff081+1/5x\uff09}
\u5982\u6b64\u8ba1\u7b97\u540e\u5f97\u5230\u603b\u6536\u5165\uff0c\u4f7f\u65b9\u7a0b\u5de6\u53f3\u76f8\u7b49
2
\u7532\u4e59\u5728\u94f6\u884c\u5b58\u6b3e\u51719600\u5143\uff0c\u5982\u679c\u4e24\u4eba\u5206\u522b\u53d6\u51fa\u81ea\u5df1\u5b58\u6b3e\u768440%\uff0c\u518d\u4ece\u7532\u5b58\u6b3e\u4e2d\u63d0120\u5143\u7ed9\u4e59\u3002\u8fd9\u65f6\u4e24\u4eba\u94b1\u76f8\u7b49\uff0c\u6c42 \u4e59\u7684\u5b58\u6b3e
\u7b54\u6848
\u53d640\uff05\u540e\uff0c\u5b58\u6b3e\u6709
9600\u00d7\uff081\uff0d40\uff05\uff09\uff1d5760\uff08\u5143\uff09
\u8fd9\u65f6\uff0c\u4e59\u6709\uff1a5760\u00f72\uff0b120\uff1d3000\uff08\u5143\uff09
\u4e59\u539f\u6765\u6709\uff1a3000\u00f7\uff081\uff0d40\uff05\uff09\uff1d5000\uff08\u5143\uff09

3
\u7531\u5976\u7cd6\u548c\u5de7\u514b\u529b\u7cd6\u6df7\u5408\u6210\u4e00\u5806\u7cd6\uff0c\u5982\u679c\u589e\u52a010\u9897\u5976\u7cd6\u540e\uff0c\u5de7\u514b\u529b\u7cd6\u5360\u603b\u6570\u768460%\u3002\u518d\u589e\u52a030\u9897\u5de7\u514b\u529b\u7cd6\u540e\uff0c\u5de7\u514b\u529b\u7cd6\u5360\u603b\u6570\u768475%,\u90a3\u4e48\u539f\u6df7\u5408\u7cd6\u4e2d\u6709\u5976\u7cd6\u591a\u5c11\u9897\uff1f\u5de7\u514b\u529b\u7cd6\u591a\u5c11\u9897\uff1f
\u7b54\u6848
\u52a010\u9897\u5976\u7cd6\uff0c\u5de7\u514b\u529b\u5360\u603b\u6570\u768460%\uff0c\u8bf4\u660e\u6b64\u65f6\u5976\u7cd6\u536040%\uff0c
\u5de7\u514b\u529b\u662f\u5976\u7cd6\u768460/40=1\u30025\u500d

\u518d\u589e\u52a030\u9897\u5de7\u514b\u529b\uff0c\u5de7\u514b\u529b\u536075%\uff0c\u5976\u7cd6\u536025%\uff0c\u5de7\u514b\u529b\u662f\u5976\u7cd6\u76843\u500d
\u589e\u52a0\u4e863-1.5=1.5\u500d\uff0c\u8bf4\u660e30\u9897\u53601.5\u500d
\u5976\u7cd6=30/1.5=20\u9897

\u5de7\u514b\u529b=1.5*20=30\u9897
\u5976\u7cd6=20-10=10\u9897




\u5c0f\u660e\u548c\u5c0f\u4eae\u5404\u6709\u4e00\u4e9b\u73bb\u7483\u7403\uff0c\u5c0f\u660e\u8bf4\uff1a\u201c\u4f60\u6709\u7403\u7684\u4e2a\u6570\u6bd4\u6211\u5c111/4\uff01\u201d\u5c0f\u4eae\u8bf4\uff1a\u201c\u4f60\u8981\u662f\u80fd\u7ed9\u6211\u4f60\u76841/6\uff0c\u6211\u5c31\u6bd4\u4f60\u591a2\u4e2a\u4e86\u3002\u201d\u5c0f\u660e\u539f\u6709\u73bb\u7483\u7403\u591a\u5c11\u4e2a\uff1f
\u7b54\u6848
\u5c0f\u660e\u8bf4\uff1a\u201c\u4f60\u6709\u7403\u7684\u4e2a\u6570\u6bd4\u6211\u5c111/4\uff01\u201d\uff0c\u5219\u60f3\u6210\u5c0f\u660e\u7684\u7403\u7684\u4e2a\u6570\u4e3a4\u4efd\uff0c\u5219\u5c0f\u4eae\u7684\u7403\u7684\u4e2a\u6570\u4e3a3\u4efd
4*1/6\uff1d2/3 \uff08\u5c0f\u660e\u8981\u7ed9\u5c0f\u4eae2/3\u4efd\u73bb\u7483\u7403\uff09
\u5c0f\u660e\u8fd8\u5269\uff1a4-2/3\uff1d3\u53c81/3\uff08\u4efd\uff09
\u5c0f\u4eae\u73b0\u6709\uff1a3+2/3\uff1d3\u53c82/3\uff08\u4efd\uff09
\u8fd9\u591a\u51fa\u6765\u76841/3\u4efd\u5bf9\u5e94\u7684\u91cf\u4e3a2\uff0c\u5219\u4e00\u4efd\u91cc\u6709\uff1a3*2\uff1d6\uff08\u4e2a\uff09
\u5c0f\u660e\u539f\u67094\u4efd\u73bb\u7483\u7403\uff0c\u53c8\u77e5\u6bcf\u4efd\u73bb\u7483\u7403\u4e3a6\u4e2a\uff0c\u5219\u5c0f\u660e\u539f\u6709\u73bb\u7483\u74034*6\uff1d24\uff08\u4e2a\uff09

\u642c\u8fd0\u4e00\u4e2a\u4ed3\u5e93\u7684\u8d27\u7269\uff0c\u7532\u9700\u898110\u5c0f\u65f6\uff0c\u4e59\u9700\u898112\u5c0f\u65f6\uff0c\u4e19\u9700\u898115\u5c0f\u65f6.\u6709\u540c\u6837\u7684\u4ed3\u5e93A\u548cB\uff0c\u7532\u5728A\u4ed3\u5e93\u3001\u4e59\u5728B\u4ed3\u5e93\u540c\u65f6\u5f00\u59cb\u642c\u8fd0\u8d27\u7269\uff0c\u4e19\u5f00\u59cb\u5e2e\u52a9\u7532\u642c\u8fd0\uff0c\u4e2d\u9014\u53c8\u8f6c\u5411\u5e2e\u52a9\u4e59\u642c\u8fd0.\u6700\u540e\u4e24\u4e2a\u4ed3\u5e93\u8d27\u7269\u540c\u65f6\u642c\u5b8c.\u95ee\u4e19\u5e2e\u52a9\u7532\u3001\u4e59\u5404\u591a\u5c11\u65f6\u95f4\uff1f
\u3000\u3000\u89e3\uff1a\u8bbe\u642c\u8fd0\u4e00\u4e2a\u4ed3\u5e93\u7684\u8d27\u7269\u7684\u5de5\u4f5c\u91cf\u662f1.\u73b0\u5728\u76f8\u5f53\u4e8e\u4e09\u4eba\u5171\u540c\u5b8c\u6210\u5de5\u4f5c\u91cf2\uff0c\u6240\u9700\u65f6\u95f4\u662f
\u3000\u3000
\u3000\u3000
\u3000\u3000
\u3000\u3000\u7b54\uff1a\u4e19\u5e2e\u52a9\u7532\u642c\u8fd03\u5c0f\u65f6\uff0c\u5e2e\u52a9\u4e59\u642c\u8fd05\u5c0f\u65f6
\u3000\u3000\u89e3\u672c\u9898\u7684\u5173\u952e\uff0c\u662f\u5148\u7b97\u51fa\u4e09\u4eba\u5171\u540c\u642c\u8fd0\u4e24\u4e2a\u4ed3\u5e93\u7684\u65f6\u95f4.\u672c\u9898\u8ba1\u7b97\u5f53\u7136\u4e5f\u53ef\u4ee5\u6574\u6570\u5316\uff0c\u8bbe\u642c\u8fd0\u4e00\u4e2a\u4ed3\u5e93\u5168\u90e8\u5de5\u4f5c\u91cf\u4e3a 60.\u7532\u6bcf\u5c0f\u65f6\u642c\u8fd0 6\uff0c\u4e59\u6bcf\u5c0f\u65f6\u642c\u8fd0 5\uff0c\u4e19\u6bcf\u5c0f\u65f6\u642c\u8fd04
\u3000\u3000\u4e09\u4eba\u5171\u540c\u642c\u5b8c\uff0c\u9700\u8981
\u3000\u300060 \u00d7 2\u00f7\uff086+ 5+ 4\uff09= 8\uff08\u5c0f\u65f6\uff09
\u3000\u3000\u7532\u9700\u4e19\u5e2e\u52a9\u642c\u8fd0
\u3000\u3000\uff0860- 6\u00d7 8\uff09\u00f7 4= 3\uff08\u5c0f\u65f6\uff09
\u3000\u3000\u4e59\u9700\u4e19\u5e2e\u52a9\u642c\u8fd0
\u3000\u3000\uff0860- 5\u00d7 8\uff09\u00f74= 5\uff08\u5c0f\u65f6\uff09
\u4e00\u4ef6\u5de5\u4f5c,\u82e5\u7531\u7532\u5355\u72ec\u505a72\u5929\u5b8c\u6210,\u73b0\u5728\u7532\u505a1\u5929\u540e,\u4e59\u52a0\u5165\u4e00\u8d77\u5de5\u4f5c,\u5408\u4f5c2\u5929\u540e,\u4e19\u4e5f\u4e00\u8d77\u5de5\u4f5c,\u4e09\u4eba\u518d\u4e00\u8d77\u5de5\u4f5c4\u5929,\u5b8c\u6210\u5168\u90e8\u5de5\u4f5c\u76841/3,\u53c8\u8fc7\u4e868\u5929,\u5b8c\u6210\u4e86\u5168\u90e8\u5de5\u4f5c\u76845/6,\u82e5\u4f59\u4e0b\u7684\u5de5\u4f5c\u7531\u4e19\u5355\u72ec\u5b8c\u6210,\u8fd8\u9700\u8981\u51e0\u5929?

\u7b54\u6848
\u7532\u4e59\u4e193\u4eba8\u5929\u5b8c\u6210 :5/6-1/3=1/2
\u7532\u4e59\u4e193\u4eba\u6bcf\u5929\u5b8c\u6210 :1/2\u00f78=1/16\uff0c
\u7532\u4e59\u4e193\u4eba4\u5929\u5b8c\u6210 :1/16\u00d74=1/4
\u5219\u7532\u505a\u4e00\u5929\u540e\u4e59\u505a2\u5929\u8981\u505a :1/3-1/4=1/12
\u90a3\u4e48\u4e59\u4e00\u5929\u505a :[1/12-1/72\u00d73]/2=1/48
\u5219\u4e19\u4e00\u5929\u505a :1/16-1/72-1/48=1/36
\u5219\u4f59\u4e0b\u7684\u7531\u4e19\u505a\u8981 :[1-5/6]\u00f71/36=6\u5929
\u7b54\uff1a\u8fd8\u9700\u89816\u5929

\u80a1\u7968\u4ea4\u6613\u4e2d\uff0c\u6bcf\u4e70\u8fdb\u6216\u5356\u51fa\u4e00\u79cd\u80a1\u7968\u90fd\u5fc5\u987b\u6309\u6210\u4ea4\u6613\u989d\u76841\uff05\u548c2\uff05\u5206\u522b\u4ea4\u7eb3\u5370\u82b1\u7a0e\u548c\u4f63\u91d1\uff08\u901a\u5e38\u6240\u8bf4\u7684\u624b\u7eed\u8d39\uff09\u3002\u8001\u738b10\u67088\u65e5\u4ee5\u80a1\u796810.65\u5143\u7684\u4ef7\u683c\u4e70\u8fdb\u4e00\u79cd\u79d1\u6280\u80a1\u79683000\u80a1\uff0c6\u670826\u65e5\u4ee5\u6bcf\u670813.86\u5143\u7684\u4ef7\u683c\u5c06\u8fd9\u4e9b\u80a1\u7968\u5168\u90e8\u5356\u51fa\uff0c\u8001\u738b\u5356\u51fa\u8fd9\u79cd\u80a1\u7968\u4e00\u5171\u8d5a\u4e86\u591a\u5c11\u94b1\uff1f
\u7b54\u6848
10.65*1\uff05=0.1065(\u5143) 10.65*2\uff05=0.213(\u5143)
10.1065+0.213=0.3195(\u5143) 0.3195+10.65=10.9695(\u5143)
13.86*1\uff05=0.1386(\u5143) 13.86*2\uff05=0.2772(\u5143)
0.1386+0.2772=0.4158 13.86+0.4158=14.2758(\u5143)
14.2758-10.9695=3.3063(\u5143)
\u7b54:\u8001\u738b\u5356\u51fa\u8fd9\u79cd\u80a1\u7968\u4e00\u5171\u8d5a\u4e863.3063\u5143.

\u67d0\u4e66\u5e97\u8001\u677f\u53bb\u56fe\u4e66\u6279\u53d1\u5e02\u573a\u8d2d\u4e70\u67d0\u79cd\u56fe\u4e66\uff0c\u7b2c\u4e00\u6b21\u8d2d\u4e66\u7528100\u5143\uff0c\u6309\u8be5\u4e66\u5b9a\u4ef72.8\u5143\u51fa\u552e\uff0c\u5f88\u5feb\u552e\u5b8c\u3002\u7b2c\u4e8c\u6b21\u8d2d\u4e66\u65f6\uff0c\u6bcf\u672c\u7684\u6279\u53d1\u4ef7\u6bd4\u7b2c\u4e00\u6b21\u589e\u591a\u4e860.5\u5143\uff0c\u7528\u53bb150\u5143\uff0c\u6240\u8d2d\u6570\u91cf\u6bd4\u7b2c\u4e00\u6b21\u591a10\u672c\uff0c\u5f53\u8fd9\u6279\u4e66\u552e\u51fa4/5\u65f6\u51fa\u73b0\u6ede\u9500\uff0c\u4fbf\u4ee5\u5b9a\u4ef7\u76845\u6298\u552e\u5b8c\u5269\u4f59\u56fe\u4e66\u3002\u8bd5\u95ee\u8be5\u8001\u677f\u7b2c\u4e8c\u6b21\u552e\u4e66\u662f\u8d54\u94b1\u8fd8\u662f\u8d5a\u94b1\uff0c\u82e5\u8d54\uff0c\u8d54\u591a\u5c11\uff0c\u82e5\u8d5a\uff0c\u8d5a\u591a\u5c11
\u7b54\u6848
\uff08100+40\uff09/2.8=50\u672c 100/50=2 150/(2+0.5\uff09=60\u672c 60*80%=48\u672c 48*2.8+2.8*50*12-150=1.2 \u76c8\u52291.2\u5143
\u4e00\u4ef6\u5de5\u7a0b\u539f\u8ba1\u521240\u4eba\u505a,15\u5929\u5b8c\u6210.\u5982\u679c\u8981\u63d0\u524d3\u5929\u5b8c\u6210,\u9700\u8981\u589e\u52a0\u591a\u5c11\u4eba
\u89e3: \u8bbe\u9700\u8981\u589e\u52a0x\u4eba
(40+x)(15-3)=40*15
x=10
\u6240\u4ee5\u9700\u8981\u589e\u52a010\u4e86
\u4ed3\u5e93\u6709\u4e00\u6279\u8d27\u7269\uff0c\u8fd0\u8d70\u7684\u8d27\u7269\u4e0e\u5269\u4e0b\u7684\u8d27\u7269\u7684\u8d28\u91cf\u6bd4\u4e3a2\uff1a7.\u5982\u679c\u53c8\u8fd0\u8d7064\u5428\uff0c\u90a3\u4e48\u5269\u4e0b\u7684\u8d27\u7269\u53ea\u6709\u4ed3\u5e93\u539f\u6709\u8d27\u7269\u7684\u4e94\u5206\u4e4b\u4e09\u3002\u4ed3\u5e93\u539f\u6709\u8d27\u7269\u591a\u5c11\u5428\uff1f
\u89e3\uff1a\u7b2c1\u6b21\u8fd0\u8d70\uff1a2/\uff082+7\uff09=2/9.
64/\uff081-2/9-3/5\uff09=360\u5428\u3002
\u7b54\uff1a\u539f\u4ed3\u5e93\u6709360\u5428\u8d27\u7269\u3002

\u80b2\u624d\u5c0f\u5b66\u539f\u6765\u4f53\u80b2\u8fbe\u6807\u4eba\u6570\u4e0e\u672a\u8fbe\u6807\u4eba\u6570\u6bd4\u662f3\uff1a5\uff0c\u540e\u6765\u53c8\u670960\u540d\u540c\u5b66\u8fbe\u6807\uff0c\u8fd9\u65f6\u8fbe\u6807\u4eba\u6570\u662f\u672a\u8fbe\u6807\u4eba\u6570\u76849/11\uff0c\u80b2\u624d\u5c0f\u5b66\u5171\u6709\u5b66\u751f\u591a\u5c11\u4eba\uff1f
\u7b54\u6848
\u539f\u6765\u8fbe\u6807\u4eba\u6570\u5360\u603b\u4eba\u6570\u7684
3\u00f7\uff083\uff0b5\uff09\uff1d3/8
\u73b0\u5728\u8fbe\u6807\u4eba\u6570\u5360\u603b\u4eba\u6570\u7684
9/11\u00f7\uff081\uff0b9/11\uff09\uff1d9/20
\u80b2\u624d\u5c0f\u5b66\u5171\u6709\u5b66\u751f
60\u00f7\uff089/20\uff0d3/8\uff09\uff1d800\u4eba

\u5c0f\u738b\uff0c\u5c0f\u674e\uff0c\u5c0f\u5f20\u4e09\u4eba\u505a\u6570\u5b66\u7ec3\u4e60\u9898\uff0c\u5c0f\u738b\u505a\u7684\u9898\u6570\u7684\u4e00\u534a\u7b49\u4e8e\u5c0f\u674e\u76841/3,\u7b49\u4e8e\u5c0f\u5f20\u76841/8,\u800c\u4e14\u5c0f\u5f20\u6bd4\u5c0f\u738b\u591a\u505a\u4e8672\u9053,\u5c0f\u738b,\u5c0f\u5f20,\u5c0f\u674e\u5404\u505a\u591a\u5c11\u9053?
\u7b54\u6848
\u8bbe\u5c0f\u738b\u505a\u4e86a\u9053\uff0c\u5c0f\u674e\u505a\u4e86b\u9053\uff0c\u5c0f\u5f20\u505a\u4e86c\u9053
\u7531\u9898\u610f1/2a=1/3b=1/8c
c-a=72
\u89e3\u5f97a=24 b=36 c=96

\u7532\u4e59\u4e8c\u4eba\u5171\u540c\u5b8c\u6210242\u4e2a\u673a\u5668\u96f6\u4ef6\u3002\u7532\u505a\u4e00\u4e2a\u96f6\u4ef6\u89816\u5206\u949f\uff0c\u4e59\u505a\u4e00\u4e2a\u96f6\u4ef6\u89815\u5206\u949f\u3002\u5b8c\u6210\u8fd9\u6279\u96f6\u4ef6\u65f6\uff0c\u4e24\u4eba\u5404\u505a\u4e86\u591a\u5c11\u4e2a\u96f6\u4ef6\uff1f
\u7b54\u6848
\u8bbe\u7532\u505a\u4e86X\u4e2a\uff0c\u5219\u4e59\u505a\u4e86\uff08242-X\uff09\u4e2a
6X=5\uff08242-X\uff09
X=110
242-110=132\uff08\u4e2a\uff09
\u7b54\uff1a\u7532\u505a\u4e86110\u4e2a\uff0c\u4e59\u505a\u4e86132\u4e2a
\u67d0\u5de5\u4f1a\u7537\u5973\u4f1a\u5458\u7684\u4eba\u6570\u4e4b\u6bd4\u662f3\uff1a2\uff0c\u5206\u4e3a\u7532\u4e59\u4e19\u4e09\u7ec4\uff0c\u5df2\u77e5\u7532\u4e59\u4e19\u4e09\u7ec4\u4eba\u6570\u4e4b\u6bd4\u662f10:8:7\uff0c\u7532\u7ec4\u4e2d\u7537\u5973\u6bd4\u662f3\uff1a1\uff0c\u4e59\u7ec4\u4e2d\u7537\u5973\u6bd4\u662f5\uff1a3\u3002\u6c42\u4e19\u7ec4\u7537\u5973\u4eba\u6570\u4e4b\u6bd4
\u7b54\u6848
\u8bbe\u7537\u4f1a\u5458\u662f3N\uff0c\u5219\u5973\u4f1a\u5458\u662f2N\uff0c\u603b\u4eba\u662f\uff1a5N
\u7532\u7ec4\u6709\uff1a5N*10/[10+8+7]=2N\uff0c\u5176\u4e2d\uff1a\u7537\uff1a2N*3/4=3N/2\uff0c\u5973\uff1a2N*1/4=N/2
\u4e59\u7ea7\u6709\uff1a5N*8/25=8/5N\uff0c\u5176\u4e2d\u7537\uff1a8/5N*5/8=N\uff0c\u5973\uff1a8/5N*3/8=3/5N
\u4e19\u7ea7\u6709\uff1a5N*7/25=7/5N
\u4e19\u7ea7\u4e2d\u7537\u6709\uff1a3N-3N/2-N=N/2\uff0c\u5973\u6709\uff1a2N-N/2-3/5N=9/10N
\u90a3\u4e48\u4e19\u7ec4\u4e2d\u7537\u5973\u4e4b\u6bd4\u662f\uff1aN/2\uff1a9/10N=5\uff1a9
\u7532\u4e59\u4e19\u4e09\u4e2a\u6751\u5408\u4fee\u4e00\u6761\u6c34\u6e20\uff0c\u4fee\u5b8c\u540e\uff0c\u7532\u4e59\u4e19\u6751\u53ef\u704c\u6e89\u7684\u9762\u79ef\u6bd4\u662f8\uff1a7\uff1a5\u539f\u6765\u4e09\u4e2a\u6751\u8ba1\u5212\u6309\u53ef\u704c\u6e89\u7684\u9762\u79ef\u6bd4\u6d3e\u51fa\u52b3\u529b\uff0c\u540e\u6765\u56e0\u4e3a\u4e19\u6751\u62bd\u4e0d\u51fa\u52b3\u529b\uff0c\u7ecf\u534f\u5546\uff0c\u4e19\u6751\u5e94\u62bd\u51fa\u7684\u52b3\u529b\u7531\u7532\u4e59\u4e24\u6751\u5206\u62c5\uff0c\u4e19\u6751\u4ed8\u7ed9\u7532\u4e59\u4e24\u6751\u5de5\u94b11350\u5143\uff0c\u7ed3\u679c\uff0c\u7532\u6751\u5171\u6d3e\u51fa60\u4eba\uff0c\u4e59\u6751\u5171\u6d3e\u51fa40\u4eba\uff0c\u95ee\u7532\u4e59\u4e24\u6751\u5404\u5e94\u5206\u5f97\u5de5\u94b1\u591a\u5c11\u5143\uff1f
\u7b54\u6848
\u6839\u636e\u7532\u4e59\u4e19\u6751\u53ef\u704c\u6e89\u7684\u9762\u79ef\u6bd4\u7b97\u51fa\u603b\u4efd\u6570\uff1a8+7+5=20\u4efd
\u6bcf\u4efd\u9700\u8981\u7684\u4eba\u6570\uff1a\uff0860+40\uff09\u00f720=5\u4eba
\u7532\u6751\u9700\u8981\u7684\u4eba\u6570\uff1a8\u00d75=40\u4eba\uff0c\u591a\u51fa\u52b3\u529b\u4eba\u6570\uff1a60-40=20\u4eba
\u4e59\u6751\u9700\u8981\u7684\u4eba\u6570\uff1a7\u00d75=35\u4eba\uff0c\u591a\u51fa\u52b3\u529b\u4eba\u6570\uff1a40-35=5\u4eba
\u4e19\u6751\u9700\u8981\u7684\u4eba\u6570\uff1a5\u00d75=25\u4eba \u6216 20+5=25\u4eba
\u6bcf\u4eba\u5e94\u5f97\u7684\u94b1\u6570\uff1a1350\u00f725=54\u5143
\u7532\u6751\u5e94\u5f97\u7684\u5de5\u94b1\uff1a54\u00d720=1080\u5143
\u4e59\u6751\u5e94\u5f97\u7684\u5de5\u94b1\uff1a 54\u00d75=270\u5143

p166
19\u9898
\u674e\u660e\u7684\u7238\u7238\u7ecf\u8425\u5df2\u4e2a\u6c34\u679c\u5e97\uff0c\u6309\u5f00\u59cb\u7684\u5b9a\u4ef7\uff0c\u6bcf\u4e70\u51fa1\u5343\u514b\u6c34\u679c\uff0c\u53ef\u83b7\u52290.2\u5143\u3002\u540e\u6765\u674e\u660e\u5efa\u8bae\u7238\u7238\u964d\u4ef7\u9500\u552e\uff0c\u7ed3\u679c\u964d\u4ef7\u540e\u6bcf\u5929\u7684\u9500\u91cf\u589e\u52a0\u4e861\u500d\uff0c\u6bcf\u5929\u83b7\u5229\u6bd4\u539f\u6765\u589e\u52a0\u4e8650%\u3002\u95ee\uff1a\u6bcf\u5343\u514b\u6c34\u679c\u964d\u4ef7\u591a\u5c11\u5143\uff1f
\u7b54\u6848
\u8bbe\u4ee5\u524d\u5356\u51faX \u964d\u4ef7a \u90a3\u4e480.2X * (1+0.5)=(0.2-a) * 2x
\u52190.1X=2aX a=0.05


.\u54c8\u5229.\u6ce2\u7279\u53c2\u52a0\u6570\u5b66\u7ade\u8d5b\uff0c\u4ed6\u4e00\u5171\u5f97\u4e8668\u5206\u3002\u8bc4\u5206\u7684\u6807\u51c6\u662f\uff1a\u6bcf\u505a\u5bf9\u4e00\u9053\u5f9720\u5206\uff0c\u6bcf\u505a\u9519\u4e00\u9053\u5012\u62636\u5206\u3002\u5df2\u77e5\u4ed6\u505a\u5bf9\u9898\u7684\u6570\u91cf\u662f\u505a\u9519\u9898\u7684\u4e24\u500d\uff0c\u5e76\u4e14\u6240\u6709\u7684\u9898\u4ed6\u90fd\u505a\u4e86\uff0c\u8bf7\u95ee\u8fd9\u5957\u8bd5\u5377\u5171\u6709\u591a\u5c11\u9053\u9898\uff1f
\u89e3\uff1a\u8bbe\u54c8\u5229\u6ce2\u7279\u7b54\u5bf92X\u9898\uff0c\u7b54\u9519X\u9898
20\u00d72X-6X=68
40X-6X=68
34X=68
X=2
\u7b54\u5bf9\uff1a2\u00d72=4\u9898
\u5171\u6709\uff1a4+2=6\u9898
\u7238\u7238\u5988\u5988\u548c\u5976\u5976\u4e58\u98de\u673a\u53bb\u65c5\u884c\uff0c\u4e09\u4eba\u6240\u5e26\u884c\u674e\u7684\u8d28\u91cf\u90fd\u8d85\u8fc7\u4e86\u53ef\u514d\u8d39\u643a\u5e26\u884c\u674e\u7684\u8d28\u91cf\uff0c\u8981\u53e6\u4ed8\u884c\u674e\u8d39\uff0c\u4e09\u4eba\u5171\u4ed8\u4e864\u5143\uff0c\u800c\u4e09\u4eba\u884c\u674e\u5171\u91cd150\u5343\u514b\uff0c\u5982\u679c\u8fd9\u4e9b\u884c\u674e\u8ba9\u4e00\u4e2a\u4eba\u5e26\uff0c\u90a3\u4e48\u9664\u4e86\u514d\u8d39\u90e8\u5206\uff0c\u5e94\u53e6\u4ed8\u884c\u674e\u8d398\u5143\uff0c\u6c42\u6bcf\u4eba\u53ef\u514d\u8d39\u643a\u5e26\u884c\u674e\u7684\u8d28\u91cf\u3002
\u7b54\u6848
\u8bbe\u53ef\u514d\u8d39\u643a\u5e26\u7684\u91cd\u91cf\u4e3ax kg\uff0c\u5219\uff1a
\uff08150-3x\uff09/4=(150-x)/8 //\u7b49\u5f0f\u4e24\u8fb9\u975e\u514d\u8d39\u90e8\u5206\u5355\u4ef7\u76f8\u540c\uff1b
\u89e3\u65b9\u7a0b\uff1ax=30


\u4e00\u961f\u5c11\u5148\u961f\u5458\u4e58\u8239\u8fc7\u6cb3\uff0c\u5982\u679c\u6bcf\u8239\u575015\u4eba\uff0c\u8fd8\u52699\u4eba\uff0c\u5982\u679c\u6bcf\u8239\u575018\u4eba\uff0c\u521a\u597d\u5269\u4f591\u53ea\u8239\uff0c\u6c42\u6709\u591a\u5c11\u53ea\u8239\uff1f
\u7b54\u6848
\u89e3\u6cd5\u4e00\uff1a

\u8bbe\u8239\u6570\u4e3aX\uff0c\u5219
\uff0815X+9\uff09/18=X-1
15X+9=18X-18
27=3X
X=9
\u7b54\uff1a\u67099\u53ea\u8239\u3002

\u89e3\u6cd5\u4e8c\uff1a

(15+9)\u00f7\uff0818-15\uff09=8\u53ea\u8239 --\u6bcf\u8239\u575018\u4eba\u65f6\u5750\u4e868\u53ea\u8239
8+1=9\u53ea\u8239


\u5efa\u7b51\u5de5\u5730\u6709\u4e24\u5806\u6c99\u5b50,\u4e00\u5806\u6bd42\u5806\u591a85\u5428,\u4e24\u5806\u6c99\u5b50\u5404\u7528\u53bb30\u5428\u540e,\u4e00\u5806\u5269\u7684\u662f2\u5806\u76842\u500d,\u4e24\u5806\u6c99\u5b50\u539f\u6765\u5404\u6709\u591a\u5c11\u5428?
\u7b54\u6848
\u8bbe2\u5806\u4e3aX\u5428,\u5219\u4e00\u5806\u4e3aX+85\u5428
X+85-30=2(X-30)
x=115(2\u5806)
x+85=115+85=200(1\u5806)

\u81ea\u7136\u65701-100\u6392\u5217\uff0c\u7528\u957f\u65b9\u5f62\u6846\u51fa\u4e8c\u884c\u516d\u4e2a\u6570\uff0c\u516d\u4e2a\u6570\u548c\u4e3a432\uff0c\u95ee\u8fd9\u516d\u4e2a\u6570\u6700\u5c0f\u7684\u662f\u51e0
\u7b54\u6848
\u516d\u4e2a\u6570\u5206\u522b\u662f46 47 48 96 97 98

\u7532\u4e59\u4e24\u5730\u76f8\u8ddd420\u5343\u7c73,\u5176\u4e2d\u4e00\u6bb5\u8def\u9762\u94fa\u4e86\u67cf\u6cb9,\u53e6\u4e00\u6bb5\u662f\u6ce5\u571f\u8def.\u4e00\u8f86\u6c7d\u8f66\u4ece\u7532\u5730\u9a76\u5230\u4e59\u5730\u7528\u4e868\u5c0f\u65f6,\u5df2\u77e5\u5728\u67cf\u6cb9\u8def\u4e0a\u884c\u9a76\u7684\u901f\u5ea6\u662f\u6bcf\u5c0f\u65f660\u5343\u7c73,\u800c\u5728\u6ce5\u571f\u8def\u4e0a\u7684\u884c\u9a76\u901f\u5ea6\u662f\u6bcf\u5c0f\u65f640\u5343\u7c73.\u6ce5\u571f\u8def\u957f\u591a\u5c11\u5343\u7c73?

\u7b54\u6848
\u4e24\u6bb5\u8def\u6240\u7528\u65f6\u95f4\u51718\u5c0f\u65f6\u3002

\u67cf\u6cb9\u8def\u65f6\u95f4\uff1a\uff08420\uff0dx\uff09\u00f760

\u6ce5\u571f\u8def\u65f6\u95f4\uff1a x\u00f740

7-(x\u00f760)+(x\u00f740)=8
\u6709x\u00f7120=1
\u6240\u4ee5x=120


\u4e00\u5c11\u5148\u961f\u4e2d\u961f\u53bb\u91ce\u8425,\u708a\u4e8b\u5458\u95ee\u591a\u5c11\u4eba,\u4e2d\u961f\u957f\u7b54: \u4e00\u4e2a\u4eba\u4e00\u4e2a\u7897,\u4e24\u4e2a\u4eba\u4e00\u53ea\u83dc\u7897,\u4e09\u4e2a\u4eba\u4e00\u53ea\u6c64\u7897,\u653e\u5728\u4f60\u8fd9\u513f\u670955\u53ea\u7897,\u4f60\u7b97\u7b97\u6709\u591a\u5c11\u4eba?
\u8bbe\u6709x\u4e2a\u4eba
x\uff0bx\uff0f2\uff0bx\uff0f3\uff1d55
x\uff1d30


\u5b66\u6821\u8d2d\u4e70840\u672c\u56fe\u4e66\u5206\u7ed9\u9ad8\u3001\u4e2d\u3001\u4f4e\u4e09\u4e2a\u5e74\u7ea7\u6bb5\uff0c\u9ad8\u5e74\u7ea7\u6bb5\u5206\u7684\u662f\u4f4e\u5e74\u7ea7\u6bb5\u76842\u500d\uff0c\u4e2d\u5e74\u7ea7\u6bb5\u5206\u7684\u662f\u4f4e\u5e74\u7ea7\u6bb5\u76843\u500d\u5c11120\u672c\u3002\u4e09\u4e2a\u5e74\u7ea7\u6bb5\u5404\u5206\u5f97\u591a\u5c11\u672c\u56fe\u4e66\uff1f
\u8bbe\u4f4e\u5e74\u7ea7\u6bb5\u5206\u5f97x\u672c\u4e66\uff0c\u5219\u9ad8\u5e74\u7ea7\u6bb5\u5206\u5f972x\u672c,\u4e2d\u5e74\u7ea7\u6bb5\u5206\u5f97\uff083x-120\uff09\u672c
x+2x+3x-120=840
6x-120=840
6x=840+120
6x=960
x=960/6
x=160
\u9ad8\u5e74\u7ea7\u6bb5\u4e3a\uff1a160*2=320( \u672c) \u4e2d\u5e74\u7ea7\u6bb5\u4e3a\uff1a160*3-120=360(\u672c)
\u7b54\uff1a\u4f4e\u5e74\u7ea7\u6bb5\u5206\u5f97\u56fe\u4e66160\u672c\uff0c\u4e2d\u5e74\u7ea7\u6bb5\u5206\u5f97\u56fe\u4e66360\u672c\uff0c\u9ad8\u5e74\u7ea7\u6bb5\u5206\u5f97\u56fe\u4e66320\u672c.

\u5b66\u6821\u7530\u5f84\u7ec4\u539f\u6765\u5973\u751f\u4eba\u6570\u53601/3,\u540e\u6765\u53c8\u67096\u540d\u5973\u751f\u53c2\u52a0\u8fdb\u6765,\u8fd9\u6837\u5973\u751f\u5c31\u5360\u7530\u5f84\u7ec4\u603b\u4eba\u6570\u76844/9\u3002\u73b0\u5728\u7530\u5f84\u7ec4\u6709\u5973\u751f\u591a\u5c11\u4eba?
\u89e3 \u8bbe \u539f\u6765\u7530\u5f84\u961f\u7537\u5973\u751f\u4e00\u5171x\u4eba
1/3x+6= 4/9(x+6)
x=30
1/3x+6=30*1/3+6=16
\u5973\u751f16\u4eba

\u5c0f\u534e\u6709\u8fde\u73af\u753b\u672c\u6570\u662f\u5c0f\u660e6\u500d\u5982\u679c\u4e24\u4eba\u5404\u518d\u4e702\u672c\u90a3\u4e48\u5c0f\u534e\u6240\u6709\u672c\u6570\u662f\u5c0f\u660e4\u500d\u4e24\u4eba\u539f\u6765\u5404\u6709\u8fde\u73af\u753b\u591a\u5c11\u672c\uff1f
\u89e3\uff1a\u8bbe\u5c0f\u534e\u7684\u6709x\u672c\u4e66
4(x+2)=6x+2
4x+8=6x+2
x=3
6x=18

\u5c0f\u6625\u4e00\u5bb6\u56db\u53e3\u4eba\u4eca\u5e74\u7684\u5e74\u9f84\u4e4b\u548c\u4e3a147\u5c81\uff0c\u7237\u7237\u6bd4\u7238\u7238\u592738\u5c81\uff0c\u5988\u5988\u6bd4\u5c0f\u6625\u592727\u5c81\uff0c\u7237\u7237\u7684\u5e74\u9f84\u662f\u5c0f\u6625\u4e0e\u5988\u5988\u5e74\u9f84\u4e4b\u548c\u76842\u500d\u3002\u5c0f\u6625\u4e00\u5bb6\u56db\u53e3\u4eba\u7684\u5e74\u9f84\u5404\u662f\u591a\u5c11\uff1f
\u7b54\u6848
1
\u8bbe\u5c0f\u6625x\u5c81\uff0c\u5219\u5988\u5988x+27\u5c81\uff0c\u7237\u7237(x+x+27)*2=4x+54\u5c81\uff0c\u7238\u72384x+54-38=4x+16\u5c81
x+x+27+4x+54+4x+16=147,x=5
\u6240\u4ee5\u5c0f\u66255\u5c81\uff0c\u5988\u598832\u5c81\uff0c\u7237\u723774\u5c81\uff0c\u7238\u723836\u5c81\u3002

2
\u7237\u7237+\u7238\u7238+\uff08\u5988\u5988+\u5c0f\u6625\uff09
=\u7237\u7237+\uff08\u7237\u7237-38\uff09+\uff08\u7237\u7237/2)=147
\u7237\u7237=74\u5c81
\u7238\u7238=36\u5c81
\u5988\u5988+\u5c0f\u6625=\u5c0f\u6625+27+\u5c0f\u6625=74/2=37
\u5c0f\u6625=5\u5c81
\u5988\u5988=5+27=32\u5c81
\u5c0f\u6625\u4e00\u5bb6\u56db\u53e3\u4eba\u7684\u5e74\u9f84\u5404\u662f74\uff0c36\uff0c32\uff0c5\u5c81

3
(147+38)\u00f7(2\u00d72+1)=37(\u5c81\uff09
36\u00d72\uff1d74\uff08\u5c81\uff09 \u7237\u7237\u7684\u5e74\u9f84
74\uff0d38\uff1d36\uff08\u5c81\uff09 \u7238\u7238\u7684\u5e74\u9f84
\uff0837+27\uff09\u00f72\uff1d32\uff08\u5c81\uff09 \u5988\u5988\u7684\u5e74\u9f84
32\uff0d27\uff1d5\uff08\u5c81\uff09 \u5c0f\u534e\u7684\u5e74\u9f84
\u7532\u4e59\u4e24\u6821\u5171\u670922\u4eba\u53c2\u52a0\u7ade\u8d5b\uff0c\u7532\u6821\u53c2\u52a0\u4eba\u6570\u76845\u5206\u4e4b1\u6bd4\u4e59\u6821\u53c2\u52a0\u4eba\u6570\u76844\u5206\u4e4b1\u5c111\u4eba\uff0c\u7532\u4e59\u4e24\u6821\u5404\u591a\u5c11\u4eba\u53c2\u8d5b\uff1f
\u89e3\uff1a\u8bbe\u7532\u6821\u6709x\u4eba\u53c2\u52a0\uff0c\u5219\u4e59\u6821\u6709\uff0822-x\uff09\u4eba\u53c2\u52a0\u3002
0.2 x=\uff0822-x\uff09\u00d70.25-1
0.2x=5.5-0.25x-1
0.45x=4.5
x=10
22-10=12\uff08\u4eba\uff09
\u7b54\uff1a \u7532\u6821\u670910\u4eba\u53c2\u52a0\uff0c\u4e59\u6821\u670912\u4eba\u53c2\u52a0\u3002


\u5728\u6d53\u5ea6\u4e3a40%\u7684\u76d0\u6c34\u4e2d\u52a0\u5165\u5343\u514b\u6c34,\u6d53\u5ea6\u53d8\u4e3a30%,\u518d\u52a0\u5165\u591a\u5343\u514b\u76d0,\u6d53\u5ea6\u53d8\u4e3a50%?
\u7b54\u68481
\u89e3
\u8bbe\u539f\u6709\u76d0\u6c34x\u5343\u514b\uff0c\u5219\u6709\u76d040\uff05x\u5343\u514b\uff0c\u6240\u4ee5\u6839\u636e\u5173\u7cfb\u5217\u51fa\u65b9\u7a0b\uff1a
(40\uff05x)/(x\uff0b1)\uff1d30\uff05 \u5f97\u51fax\uff1d3\uff0c\u518d\u8bbe\u987b\u52a0\u5165y\u5343\u514b\u76d0\uff0c\u5219\u6709\u65b9\u7a0b\uff1a

\uff081.2\uff0by\uff09/(4+y)=50%\u5f97\u51fay\uff1d1.6


54\u6bd445\u591a20\uff05\uff0c\u7b97\u6cd5\uff0c\u8bbe\u6240\u6c42\u4e3ax\uff0cx\uff081\uff0b20\uff05\uff09=54 \u7b97\u51fa\u7ed3\u679c45

\u7b54\u68482
\u8bbe\u539f\u6709\u6eb6\u6db2\u4e3ax\u5343\u514b\uff0c\u52a0\u5165y\u5343\u514b\u76d0\u540e\uff0c\u6d53\u5ea6\u53d8\u4e3a50%
\u7531\u9898\u610f\uff0c\u5f97\u6eb6\u8d28\u4e3a40%x\uff0c\u5219\u6709
40%x/(x+5)=30%
\u89e3\u4e4b\u5f97
x=15\u5343\u514b
\u5219\u6eb6\u8d28\u670915*40%=6\u5343\u514b
\u7531\u9898\u610f\uff0c\u5f97
\uff086+y\uff09/(15+5+y\uff09=50%
\u89e3\u4e4b\u5f97
y=8\u5343\u514b
\u6545\u518d\u52a0\u51658\u5343\u514b\u76d0\uff0c\u6d53\u5ea6\u53d8\u4e3a50%


\u67d0\u4eba\u5230\u5546\u5e97\u4e70\u7ea2\u84dd\u4e24\u79cd\u94a2\u7b14\uff0c\u7ea2\u94a2\u7b14\u5b9a\u4ef75\u5143\uff0c\u84dd\u94a2\u7b14\u5b9a\u4ef79\u5143\uff0c\u7531\u4e8e\u8d2d\u4e70\u91cf\u8f83\u591a\uff0c\u5546\u5e97\u7ed9\u4e88\u4f18\u60e0\uff0c\u7ea2\u94a2\u7b14\u516b\u4e94\u6298\uff0c\u84dd\u94a2\u7b14\u516b\u6298\uff0c\u7ed3\u679c\u6b64\u4eba\u4ed8\u7684\u94b1\u6bd4\u539f\u6765\u8282\u7701\u768418%\uff0c\u5df2\u77e5\u4ed6\u4e70\u4e86\u84dd\u94a2\u7b1430\u679d\uff0c\u90a3\u4e48\u3002\u4ed6\u4e70\u4e86\u51e0\u652f\u7ea2\u94a2\u7b14\uff1f
\u7b54\u6848
\u7ea2\u7b14\u4e70\u4e86x\u652f\u3002
\uff085x+30\u00d79\uff09\u00d7\uff081-18%)=5x\u00d70.85+30\u00d79\u00d70.8
x=36.


\u7532\u8bf4\uff1a\u201c\u6211\u4e59\u4e19\u5171\u6709100\u5143\u3002\u201d\u4e59\u8bf4\uff1a\u201c\u5982\u679c\u7532\u7684\u94b1\u662f\u73b0\u6709\u76846\u500d\uff0c\u6211\u7684\u94b1\u662f\u73b0\u6709\u76841/3\uff0c\u4e19\u7684\u94b1\u4e0d\u53d8\uff0c\u6211\u4eec\u4ecd\u6709\u94b1100\u5143\u3002\u201d\u4e19\u8bf4\uff1a\u201c\u6211\u7684\u94b1\u90fd\u6ca1\u670930\u5143\u3002\u201d\u4e09\u4eba\u539f\u6765\u5404\u6709\u591a\u5c11\u94b1\uff1f
\u7b54\u6848
\u4e59\u7684\u8bdd\u8868\u660e\uff1a\u7532\u94b15\u500d\u4e0e\u4e59\u94b12/3\u4e00\u6837\u591a
\u6240\u4ee5\uff0c\u4e59\u94b1\u662f3*5=15\u7684\u500d\u6570\uff0c\u7532\u94b1\u662f\u5076\u6570

\u4e19\u94b1\u4e0d\u8db330\uff0c\u6240\u4ee5\uff0c\u7532\u4e59\u94b1\u548c\u591a\u4e8e70\uff0c
\u800c\u4e59\u591a\u4e8e\u7532\u76846\u500d\uff0c
\u6240\u4ee5\uff0c\u4e59\u591a\u4e8e60

\u8bbe\u4e59=75\uff0c\u7532=75*2/3\u00f75=10,\u4e19=100-10-75=15
\u8bbe\u4e59=90\uff0c\u7532=90*2/3\u00f75=12,90+12>100,\u4e0d\u884c

\u6240\u4ee5\uff0c\u4e09\u4eba\u539f\u6765\uff1a\u753210\u5143\uff0c\u4e5975\u5143\uff0c\u4e1915\u5143


\u67d0\u5382\u5411\u94f6\u884c\u7533\u8bf7\u7532\u4e59\u4e24\u79cd\u8d37\u6b3e\u517130\u4e07\uff0c\u6bcf\u5e74\u9700\u652f\u4ed8\u5229\u606f4\u4e07\u5143,\u7532\u79cd\u8d37\u6b3e\u5e74\u5229\u7387\u4e3a12%\uff0c\u4e59\u79cd\u8d37\u6b3e\u5e74\u5229\u7387\u4e3a14%\uff0c\u8be5\u5382\u7533\u8bf7\u7532\u4e59\u4e24\u79cd\u8d37\u6b3e\u91d1\u989d\u5404\u591a\u5c11\u5143\uff1f
\u7b54\u6848
\u8bbe\uff1a\u7532\u5382\u7533\u8bf7\u8d37\u6b3e\u91d1\u989dx\u4e07\u5143,\u5219\u4e59\u5382\u7533\u8bf7\u8d37\u6b3e\u91d1\u989d\uff0830-x\uff09\u4e07\u5143\u3002
\u5217\u5f0f\uff1ax*0.12+(30-x)*0.14=4
\u5316\u7b80\uff1a4.2-0.02x=4
0.02x=0.2
\u89e3\u5f97\uff1ax=10(\u4e07\u5143)


\u67d0\u4e66\u5e97\u5bf9\u987e\u5ba2\u6709\u4e00\u9879\u4f18\u60e0\uff0c\u51e1\u8d2d\u4e70\u540c\u4e00\u79cd\u4e66100\u672c\u4ee5\u4e0a\uff0c\u5c31\u6309\u4e66\u4ef7\u768490%\u6536\u6b3e\u3002\u67d0\u5b66\u6821\u5230\u4e66\u5e97\u8d2d\u4e70\u7532\u3001\u4e59\u4e24\u79cd\u4e66\uff0c\u5176\u4e2d\u4e59\u79cd\u4e66\u7684\u518c\u6570\u662f\u7532\u79cd\u4e66\u518c\u6570\u76843/5\u53ea\u6709\u7532\u79cd\u4e66\u5f97\u5230\u4e8690%\u7684\u4f18\u60e0\u3002\u5176\u4e2d\u4e70\u7532\u79cd\u4e66\u6240\u4ed8\u7684\u94b1\u6570\u662f\u4e70\u4e59\u79cd\u4e66\u6240\u4ed8\u94b1\u6570\u76842\u500d\u3002\u5df2\u77e5\u4e59\u79cd\u4e66\u6bcf\u672c1.5\u5143\uff0c\u90a3\u4e48\u7532\u79cd\u4e66\u6bcf\u672c\u5b9a\u4ef7\u591a\u5c11\u5143\uff1f
\u7b54\u68481
\u6839\u636e\u9898\u610f\uff0c
\u7532\u79cd\u8d85\u8fc7\u4e86100\u672c\uff0c\u4e59\u79cd\u4e0d\u5230100 \u672c
\u7532\u4e59\u82b1\u7684\u603b\u94b1\u6570\u6bd4\u4e3a2:1
\u90a3\u4e48\u7532\u6253\u6298\u4ee5\u524d\uff0c\u548c\u4e59\u7684\u603b\u94b1\u6570\u6bd4\u4e3a\uff1a
\uff082\u00f70.9\uff09\uff1a1=20:9
\u7532\u4e59\u518c\u6570\u6bd4\u4e3a5:3
\u7532\u4e59\u5355\u4ef7\u6bd4\u4e3a\uff0820\u00f75\uff09\uff1a\uff089\u00f73\uff09=4:3
\u4f18\u60e0\u524d\uff0c\u7532\u79cd\u6bcf\u672c\uff1a1.5\u00d74/3=2\u5143

\u7b54\u68482
\u7b54\u6848
\u8bbe\u7532\u4e70\u4e86x\u672c,\u5219\u4e59\u4e3a3/5x,x>100
\u4e70\u4e59\u5171\u4ed8\u4e86:3/5x*1.5=0.9x\u5143
\u5219\u7532\u5171\u4ed8\u4e86:0.9x*2=1.8x\u5143
\u6240\u4ee5\u7532\u4f18\u60e0\u540e\u6bcf\u672c\u4e3a:1.8x/x=1.8\u5143
\u5219\u4f18\u60e0\u524d:1.8/0.9=2\u5143


\u4e24\u652f\u6210\u5206\u4e0d\u540c\u7684\u8721\u70db,\u5176\u4e2d1\u652f\u4ee5\u5747\u5300\u901f\u5ea6\u71c3\u70e7,2\u5c0f\u65f6\u70e7\u5b8c,\u53e6\u4e00\u652f\u53ef\u4ee5\u71c3\u70e73\u5c0f\u65f6,\u508d\u665a6\u65f6\u534a\u540c\u65f6\u70b9\u71c3\u8721\u70db\uff0c\u5230\u4ec0\u4e481\u652f\u5269\u4f59\u90e8\u5206\u6b63\u597d\u662f\u53e6\u4e00\u652f\u5269\u4f59\u76842\u500d\uff1f
\u7b54\u6848
\u4e24\u652f\u8721\u70db\u5206\u522b\u8bbe\u4e3aA\u8721\u70db\u548cB\u8721\u70db\uff0c\u5176\u4e2dA\u8721\u70db\u662f\u90a3\u652f\u70e7\u5f97\u5feb\u70b9\u7684
A\u8721\u70db\uff0c\u4e24\u5c0f\u65f6\u70e7\u5b8c\uff0c\u90a3\u4e48\u6bcf\u5c0f\u65f6\u71c3\u70e71/2
B\u8721\u70db\uff0c\u4e09\u5c0f\u65f6\u70e7\u5b8c\uff0c\u90a3\u4e48\u6bcf\u5c0f\u65f6\u71c3\u70e71/3
\u8bbe\u8fc7\u4e86x\u5c0f\u65f6\u4ee5\u540e\uff0cB\u8721\u70db\u5269\u4f59\u7684\u90e8\u5206\u662fA\u7684\u4e24\u500d
2\uff081\u2014x/2\uff09=1\u2014x/3
\u89e3\u5f97x=1.5
\u7531\u4e8e\u662f6\u70b9\u534a\u5f00\u59cb\u7684\uff0c\u6240\u4ee5\u52308\u70b9\u7684\u65f6\u5019\u521a\u521a\u597d


\u5b66\u6821\u7ec4\u7ec7\u6625\u6e38\uff0c\u540c\u5b66\u4eec\u4e0b\u53481\u70b9\u4ece\u5b66\u6821\u51fa\u53d1\uff0c\u8d70\u4e86\u4e00\u6bb5\u5e73\u8def\uff0c\u722c\u4e86\u4e00\u5ea7\u5c71\u540e\u6309\u539f\u8def\u8fd4\u56de\uff0c\u4e0b\u5348\u4e03\u70b9\u56de\u5230\u5b66\u6821\u3002\u5df2\u77e5\u4ed6\u4eec\u7684\u6b65\u884c\u901f\u5ea6\u5e73\u8def4Km/\u5c0f\u65f6\uff0c\u722c\u5c713Km/\u5c0f\u65f6\uff0c\u4e0b\u5c71\u4e3a6Km/\u5c0f\u65f6\uff0c\u8fd4\u56de\u65f6\u95f4\u4e3a2.5\u65f6\u3002\u95ee\uff1a\u4ed6\u4eec\u4e00\u5171\u884c\u4e86\u591a\u5c11\u8def
\u7b54\u68481
\u8bbe\u8d70\u7684\u5e73\u8def\u662fX\u516c\u91cc \u5c71\u8def\u662fY\u516c\u91cc
\u56e0\u4e3a1\u70b9\u5230\u4e03\u70b9\u5171\u7528\u65f6\u95f46\u5c0f\u65f6 \u8fd4\u56de\u4e3a2.5\u5c0f\u65f6 \u5219\u53bb\u65f6\u75283.5\u5c0f\u65f6
Y/3-Y/6=1\u5c0f\u65f6
Y=6\u516c\u91cc
\u53bb\u65f6\u5171\u75283.5\u5c0f\u65f6 \u5219X/4+Y/3=3.5 X=6
\u6240\u4ee5\u603b\u8def\u7a0b\u4e3a2\uff086+6\uff09=24km
\u7b54\u68482
\u89e3\uff1a\u6625\u6e38\u5171\u7528\u65f6\uff1a7\uff1a00\uff0d1\uff1a00\uff1d6\uff08\u5c0f\u65f6\uff09
\u4e0a\u5c71\u7528\u65f6\uff1a6\uff0d2.5\uff1d3.5\uff08\u5c0f\u65f6\uff09
\u4e0a\u5c71\u591a\u7528\uff1a3.5\uff0d2.5\uff1d1\uff08\u5c0f\u65f6\uff09
\u5c71\u8def\uff1a\uff086\uff0d3\uff09\u00d71\u00f7\uff083\u00f76\uff09\uff1d6\uff08\u5343\u7c73\uff09
\u4e0b\u5c71\u7528\u65f6\uff1a6\u00f76\uff1d1\uff08\u5c0f\u65f6\uff09
\u5e73\u8def\uff1a\uff082.5\uff0d1\uff09\u00d74\uff1d6\uff08\u5343\u7c73\uff09
\u5355\u7a0b\u8d70\u8def\uff1a6\uff0b6\uff1d12\uff08\u5343\u7c73\uff09
\u5171\u8d70\u8def\uff1a12\u00d72\uff1d24\uff08\u5343\u7c73\uff09
\u7b54\uff1a\u4ed6\u4eec\u5171\u8d7024\u5343\u7c73\u3002

先看看,这些可以吗,如果可以,我还有,发给你!
1、长江路小学六(2)班有48名同学,其中8名男生和女生人数的1/5去参加书法比赛,剩下的人数中女生比男生多5人,问这个班男、女生各有多少人?

2、一个分数,分子与分母之和是92,如果分子与分母都减去16,这时分子与分母的比是1:3,求原来这个分数。
92-16×2=60
1+3=4
60×1/4=15 15+16=31
60×3/4=45 45+16=61
答:原来这个分数是31/61。
3、食堂买回两桶油,甲桶油的质量是乙桶油的1.5倍,如果从甲桶油中抽出1.2千克,放入乙桶,那么两桶油一样多,甲、乙两桶油原来各有油多少千克?

4、A、B两城相距475千米,货车以每小时35千米的速度从A城驶向B城,5小时后,客车从B城驶向A城,又经过4小时两车相遇,客车每小时行多少千米?

5、实验小学六年级有240人,男生中选3/4,女生中选一半去参加“环保演讲会”,剩下的91人大扫除,这所学校六年级有男、女生各多少人?

6、某足球队教练与两个队员的年龄和为100岁,12年后,教练的年龄是这两个队员年龄之和,那么教练今年的年龄是多少岁?

7、同学们去郊外野营,中餐时班长到王老师那里领碗,老师问他领多少个?他说55个,又问:“多少人吃饭?”他说:“一人一个饭碗,两人一个菜碗,三人一个汤碗。”算算,班长给多少人领碗?

8、某小学五、六年级共有学生486人,已知五年级学生人数的1/5比六年级学生人数的1/6多7人,五、六年级各有学生多少人?

9、一项工程由45人来做,预计若干天完成,工作6天后,有9人调走支援其他工程,于是比计划推迟4天完成,求预计多少天完成?

10、一辆汽车沿山路行驶,上山平均每小时行20千米,下山平均每小时行30千米,求这辆车上、下山的平均速度。

11、学校合唱队里男生人数比女生人数的一半少9人,女生人数比男生人数的3倍多3人。这个合唱队共有多少人?

扩展阅读:七上数学试卷免费下载 ... 小升初经典100题题目 ... 六年级毕业必考试题 ... 六年级小升初真题试卷 ... 小升初必考十篇作文题 ... 分数应用题大全20道 ... 小升初分班考试试卷 ... 六年级超难学霸奥数题 ... 小学六年级较难应用题 ...

本站交流只代表网友个人观点,与本站立场无关
欢迎反馈与建议,请联系电邮
2024© 车视网