初一数学一元一次方程应用题
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\u3000\u30001.\u67d0\u5e02\u4e2d\u5c0f\u5b66\u7edf\u4e00\u7ec4\u7ec7\u8d2d\u4e70\u670d\u88c5\uff0c\u7532\u3001\u4e59\u73ed\u517192\u4eba\uff08\u7532\u73ed\u5927\u4e8e\u4e59\u73ed\uff09\uff0c\u67d0\u670d\u88c5\u5382\u7ed9\u51fa\u4ef7\u683c\u8868\u5982\u4e0b\uff0c\u4e24\u73ed\u5206\u522b\u8d2d\u4e70\u5e94\u4ed85020\u5143\u3002
\u3000\u3000\u5957\u6570 1~45\u5957 46~90\u5957 91\u5957~
\u3000\u3000\u4ef7\u683c 60\u5143 50\u5143 40\u5143
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\u3000\u30001.
\u3000\u30002\uff09\u8bbe\u7532\u4e3ax,\u5219\u4e59\u4e3a92-x
\u3000\u3000\u5219\uff0c50x+60(92-x)=5020
\u3000\u300050x+5520-60x=5020
\u3000\u3000500=10x
\u3000\u3000x=50
\u3000\u3000\u5219\u7532\u4e3a50\u4eba\uff0c\u4e59\u4e3a92-50=42\u4eba
\u3000\u3000\u5148\u89e3\u51fa\u7b2c\u4e8c\u5c0f\u9898
\u3000\u30001\uff09
\u3000\u300092*40=3680\uff08\u5143\uff09
\u3000\u30005020-3680=1340\uff08\u5143\uff09
\u3000\u3000\u8282\u7701\u4e861340\u5143
\u3000\u30003\uff09
\u3000\u300092-10=82\u4eba 91-82=9
\u3000\u3000\u627e\u6765\u4e5d\u4e2a\u4eba\uff0c\u5c31\u51d1\u591f\u4e8691\u4eba\uff0c\u5219\u7701\u94b1\uff0c\u7b2c\u4e00\u9898\u5148\u505a\u597d\u4e86\uff0c\u7d2b\u4ed9\u5927\u4fa0\u8bf7\u770b
\u3000\u300016.\u67d0\u5546\u573a\u8ba1\u5212\u62e8\u6b3e9\u4e07\u5143\u4ece\u5382\u5bb6\u8d2d\u8fdb50\u53f0\u7535\u89c6\u673a\uff0c\u5df2\u77e5\u8be5\u5382\u5bb6\u751f\u4ea7\u4e09\u79cd\u4e0d\u540c\u578b\u53f7\u7684\u7535\u89c6\u673a\uff0c\u51fa\u5382\u4ef7\u5206\u522b\u4e3a\uff1a\u7532\u79cd\u6bcf\u53f01500\u5143\uff0c\u4e59\u79cd\u6bcf\u53f02100\u5143\uff0c\u4e19\u79cd\u6bcf\u53f02500\u5143\u3002
\u3000\u3000\uff081\uff09\u82e5\u5546\u573a\u540c\u65f6\u8d2d\u4e70\u8fdb\u5176\u4e2d\u4e24\u79cd\u4e0d\u540c\u578b\u53f7\u7535\u89c6\u673a\u517150\u53f0\uff0c\u7528\u53bb9\u4e07\u5143\uff0c\u8bf7\u4f60\u7814\u7a76\u4e00\u4e0b\u5546\u573a\u7684\u8fdb\u8d27\u65b9\u6848\u3002
\u3000\u3000\uff082\uff09\u5546\u5e97\u9500\u552e\u4e00\u53f0\u7532\u79cd\u7535\u89c6\u673a\u53ef\u83b7\u5229150\u5143\uff0c\u9500\u552e\u4e00\u53f0\u4e59\u79cd\u7535\u89c6\u673a\u53ef\u83b7\u5229200\u5143\uff0c\u9500\u552e\u4e00\u53f0\u4e19\u79cd\u7535\u89c6\u673a\u53ef\u83b7\u5229250\u5143\uff0c\u5728\u540c\u65f6\u8d2d\u8fdb\u4e24\u79cd\u4e0d\u540c\u578b\u53f7\u7535\u89c6\u673a\u7684\u65b9\u6848\u4e2d\uff0c\u4e3a\u4f7f\u9500\u552e\u65f6\u83b7\u5229\u6700\u591a\uff0c\u5e94\u9009\u62e9\u54ea\u79cd\u8fdb\u8d27\u65b9\u6848\uff1f
\u3000\u3000\u8bbe\u4e70\u4e86x\u53f0\uff0c\u5219\u53e6\u5916\u7684\u662f50-x\u53f0
\u3000\u3000\u5219\u6709\u53ef\u80fd\u662f\u4e70\u7532\u4e59\uff0c\u4e59\u4e19\uff0c\u7532\u4e19\uff0c\u6240\u4ee5\u5148\u731c\u6d4b\u662f\u7532\u4e59
\u3000\u3000\u8bbe\u7532\u4e3ax\uff0c\u4e59\u4e3a50-x
\u3000\u30001500x+2100(50-x)=90000
\u3000\u30001500x+105000-2100x=90000
\u3000\u3000x=25
\u3000\u3000\uff08\u4e00\u6b21\u5c31\u731c\u5bf9\u4e86\uff0c\u6c57\u2026\u2026\uff09
\u3000\u3000\u518d\u8bd5\u4e00\u8bd5\u7532\u4e19
\u3000\u3000\u7532\u79cd\u4e0e\u4e19\u79cd\u642d\u914d\uff0c\u5176\u6570\u91cf\u6bd4\u4e3a\uff1a\uff082500-1800\uff09\uff1a\uff081800-1500\uff09=7\uff1a3
\u3000\u3000\u5373\u7532\u79cd35\u53f0\uff0c\u4e19\u79cd15\u53f0\u3002
\u3000\u3000\u7b54\uff1a\u5f97\u5230\u4e70\u4e8625\u53f0\u7532\uff0c25\u53f0\u4e59\uff0c\u6216\u7532\u79cd35\u53f0\uff0c\u4e19\u79cd15\u53f0\u3002
\u3000\u30002\uff09
\u3000\u3000\u56e0\u4e3a\u5546\u573a\u7684\u8d27\u6b3e\u6709\u9650\uff0c\u6240\u4ee5\u4e3a\u83b7\u5f97\u6700\u5927\u5229\u6da6\u5fc5\u987b\u5e02\u5229\u6da6\u7387\u6700\u5927\uff0c\u4e09\u8005\u7684\u5229\u6da6\u7387\u5206\u522b\u662f\uff1a
\u3000\u3000\u7532\uff0c150/1500=1/10\uff1b\u4e59\uff0c200/2100=2/21\uff0c\u4e19\uff0c250/2500=1/10\u5373\u4e59<\u7532=\u4e19\uff0c
\u3000\u3000\u6240\u4ee5\u5e94\u5f53\u9009\u62e9\u7532\u548c\u4e19\u7684\u642d\u914d\u3002
\u3000\u30002.\u67d0\u516c\u53f8\u5728A\u3001B\u4e24\u5730\u5206\u522b\u6709\u540c\u578b\u53f7\u673a\u566817\u53f0\u300115\u53f0\uff0c\u73b0\u5728\u8fd0\u5f80\u7532\u573018\u53f0\uff0c\u4e59\u573014\u53f0\uff0c\u4eceA\u3001B\u4e24\u5730\u8fd0\u5f80\u7532\u3001\u4e59\u4e24\u5730\u8d39\u7528\u5982\u4e0b\u8868\uff1a
\u3000\u3000\u7532\uff08\u5143/\u53f0\uff09 \u4e59(\u5143/\u53f0)
\u3000\u3000A\u5730 600 500
\u3000\u3000B\u5730 400 800
\u3000\u3000\uff081\uff09\u4eceA\u5730\u8fd0\u5f80\u7532\u5730x\u53f0\uff0c\u603b\u8d39\u7528\u4e3a\u591a\u5c11\u5143\uff1f
\u3000\u3000\uff082\uff09\u82e5\u603b\u8fd0\u8d39\u4e3a15300\u5143\uff0c\u95ee\u5982\u4f55\u5b89\u6392\uff1f
\u3000\u30002.2)\u5047\u8bbeA\u8fd0\u5f80\u7532\u5730\u4e3ax\u53f0\uff0c\u90a3\u4e48B\u5730\u8fd0\u5f80\u7532\u5730\u4e3a18-x
\u3000\u3000600x+7200-400x+8500-500x-2400+800x=15300
\u3000\u3000500x+13300=15300
\u3000\u3000500x=2000
\u3000\u3000x=4
\u3000\u3000A\u8fd0\u7532\u5730\u4e3a4\u53f0
\u3000\u3000B\u8fd0\u753218-4=14\u53f0
\u3000\u300015-14=1\u53f0\uff0c\u5219B\u53ea\u52691\u53f0\uff0c\u4e91\u7ed9\u4e59
\u3000\u300017-4=13\u53f0\uff0c\u5219A\u8fd0\u4e5913\u53f0
\u3000\u3000\u6765\u89e3\u4e00\u4e0b\u7b2c\u4e00\u5c0f\u9898
\u3000\u30001\uff09600x+400(18-x)+500(17-x)+800(15-18+x)
\u3000\u3000=600x+7200-400x+8500-500x-2400+800x
\u3000\u3000=500x+13300
\u3000\u3000\u5168\u89e3\uff0c\u73b0\u5df2\u9001\u5f80\u767e\u5ea6\uff0c\u7d2b\u6708\u5927\u4fa0\u8bf7\u8fc7\u76ee
\u3000\u3000\u6211\u767e\u5ea6\u7684id\u662f\u738b\u8005\u518d\u4e34007
(8x+4)÷5=(11x+1)÷7+1
8/5x+4/5=11/7x+1/7+1
8/5x-11/7x=12/35
1/35x=12/35
解得x=12
答：每箱装12个产品。
设每箱装X个产品。
方程可为：(8X+4)/5-1=(11X+1)/7
解：8/5X+4/5-1=11/7X+1/7
8/5X-11/7X=1/7+1/5
通分后 56/35X-55/35X=5/35+7/35
1/35X=12/35
X=(12/35)*35
X=12
答，每箱装12个产品。
解：设每箱装x个产品,依题意得
(8x+4)÷5=(11x+1)÷7+1
解之得 x=12 答：每箱装12个产品
解；设a每箱装X个产品。
(8x+4)÷5=(11x+1)÷7+1
8/5x+4/5=11/7x+1/7+1
8/5x-11/7x=12/35
1/35x=12/35
x=12
答：每箱装12个。
可设a型机器每天生产X个则b每天生产X-1个、箱子数量是一定的、以此为等量、可列等式为5X/8+4=7(X-1）/11+1求解X。
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绛旓細涓鏀跺壊鏈洪槦姣忓ぉ鏀跺壊灏忛害12鍏》锛屾敹鍓插畬涓鐗囬害鍦扮殑2/3鍚庯紝璇ユ敹鍓叉満闃熸敼杩涙搷浣滐紝鏁堢巼鎻愰珮鍒板師鏉ョ殑5/4鍊嶏紝鍥犳姣旈瀹氭椂闂存彁鏃╀竴澶╁畬鎴愩傞棶杩欑墖楹﹀湴鏈夊灏戝叕椤凤紵璁捐繖鐗囬害鍦版湁X鍏》 X/45-X/36=1 X=60 绛旓細鏈60鍏》楹﹀湴銆
绛旓細涓鍏冧竴娆℃柟绋鍩烘湰搴旂敤锛氫竴鍏冧竴娆℃柟绋嬮氬父鍙敤浜庡仛鏁板搴旂敤棰锛屼篃鍙簲鐢ㄤ簬鐗╃悊銆佸寲瀛︾殑璁＄畻銆傚鍦ㄧ敓浜х敓娲讳腑锛岄氳繃宸茬煡涓瀹氱殑娑蹭綋瀵嗗害鍜屽帇寮猴紝閫氳繃鍏紡浠ｅ叆瑙ｆ柟绋嬶紝杩涜岃绠楁恫浣撴繁搴︾殑闂銆備緥濡傝绠楀ぇ姘斿帇寮虹害绛変簬澶氶珮鐨勬按鏌变骇鐢熺殑鍘嬪己锛屽凡鐭ュぇ姘斿帇绾︿负100000甯曟柉鍗★紝姘寸殑瀵嗗害绾︾瓑浜1000鍗冨厠姣忕珛鏂圭背锛実绾︾瓑浜...
绛旓細瑙ｏ細(1)璁惧ぇ宸寸殑骞冲潎閫熷害涓簒鍏噷/鍒嗛挓锛屽垯灏忚溅鐨勫钩鍧囬熷害涓1.5x鍏噷/鍒嗛挓锛屾牴鎹鎰忓緱锛90/x-90/1.5x=30+15 瑙ｈ繖涓鏂圭▼寰楋細x=2/3 1.5x=(3/2)x(2/3)=1 绛旓細澶у反鐨勫钩鍧囬熷害涓2/3鍏噷/鍒嗛挓锛屽垯灏忚溅鐨勫钩鍧囬熷害涓1鍏噷/鍒嗛挓銆(2)瑙ｏ細璁捐嫃鑰佸笀杩戒笂澶у反鐨勫湴鐐瑰埌鍩哄湴鐨勮矾绋嬫湁x鍏噷锛屾牴...
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绛旓細鍒鏂圭▼瑙搴旂敤棰鈥斺旈攢鍞佸偍钃勯棶棰1銆佺埜鐖镐负灏忔槑瀛樹簡涓涓3骞存湡鐨勬暀鑲插偍钃,鍒╃巼鏄2.7%,,3骞村悗鑳藉緱5405鍏,瀹冨紑濮嬪瓨浜嗗灏戝厓?3銆佹煇浜轰拱浜25000鍏冩煇鍏徃1骞存湡鐨勫哄埜,1骞村悗鎵ｉ櫎20%鐨勫埄鎭◣涔嬪悗寰楀埌鏈伅26000鍏,闂繖绉嶅哄埜鐨勫勾鍒╃巼鏄灏?4銆佹煇浜轰拱浜9000鍏冪殑浜斿勾鏈熷浗搴撳埜,鍒版湡鍚庡叡寰12537鍏,鍒欐绉嶅浗搴撳埜鐨勫勾...
绛旓細1銆佽В锛氳缁冧範鏈瘡鏈瑇鍏冦4x+3x0.5=4.7 4x=4.7-1.5 x=3.2梅4 x=0.8 2銆佽В锛氳鐜板湪楂樹负xcm.3.14x10²x=3.14x5²x36 x=5²x36梅10²x=9 3銆侊紙1锛夎В锛氳闀夸负xcm锛屽垯瀹戒负2/3xcm銆2锛坸+2/3x)=60 5/3x=30 x=18 2/3x=18x2/3=12 (2)瑙ｏ細...
