初中数学分式方程
\u521d\u4e2d\u6570\u5b66\u5206\u5f0f\u65b9\u7a0b(3x^2-xy)/(3x^2+5xy-2y^2)
=x(3x-y)/[(3x-y)(x+2y)]
=x/(x+2y)
\u8fd9\u4e2a\u561b~\u8bb0\u5f97\u5c0f\u5b66\u600e\u4e48\u6c42\u516c\u5206\u6bcd\u5417\uff1f
\u4e00\u4e2a\u5206\u6bcd\u662f2\uff0c\u4e00\u4e2a\u5206\u6bcd\u662f3\uff0c\u516c\u5206\u6bcd\u5c31\u662f2*3=6
\u5f53\u7136\uff0c\u82e5\u662f\u53ef\u4ee5\u7ea6\u53bb\u7684\u5c31\u7ea6\u53bb\uff0c\u4e00\u4e2a\u662f9\uff0c\u4e00\u4e2a\u662f6\uff0c\u5c31\u662f9*6/3=18~
\u540c\u7406
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\u4e00\u4e2a\u662fx²-x\uff0c\u4e00\u4e2a\u662fx²-3x\u7684\u8bdd\uff0c
\u5206\u89e3\u6210x\uff08x-1\uff09\u548cx\uff08x-3\uff09
\u516c\u5206\u6bcd\u5c31\u662fx\uff08x-1\uff09*x\uff08x-3\uff09/x=x\uff08x-1\uff09\uff08x-3\uff09\uff0c\uff08\u5f53\u7136\u8fd8\u6709\u5e73\u65b9\u5dee\u516c\u5f0f\uff0c\u548c\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u7684\u4f8b\u5b50\uff0c\u5c31\u61d2\u5f97\u4e3e\u4e86\uff09
\u82e5\u662f\u65e0\u6cd5\u56e0\u5f0f\u5206\u89e3\u5462\uff1f
\u5982\u4f60\u6240\u8bf4\u7684\u4f8b\u5b50\uff0c\u4e00\u4e2a\u5206\u6bcd\u662f2x-3\uff0c\u4e00\u4e2a\u662f3-2x\uff0c\u5443\uff1f\u8fd9\u4e2a\u4e0d\u6210\u4f8b\u5b50
\u4e00\u4e2a\u5206\u6bcd\u63d0\u51fa\u4e00\u4e2a\u8d1f\u53f7\uff0c\u5c31\u662f-\uff082x-3\uff09
\u4e0d\u7528\u7ba1\u8d1f\u53f7\uff0c\u516c\u5206\u6bcd\u5c31\u662f\uff082x-3\uff09
\u518d\u4e3e\u4e00\u4e2a\u5427\uff0c\u4e00\u4e2a\u5206\u6bcd\u662fx-6\uff0c\u4e00\u4e2a\u5206\u6bcd\u662fx+3
\u4e24\u4e2a\u90fd\u662f\u65e0\u6cd5\u56e0\u5f0f\u5206\u89e3\uff0c\u90a3\u4e48\uff0c\u4e24\u4e2a\u7684\u516c\u5206\u6bcd\u5c31\u662f\uff08x-6\uff09\uff08x+3\uff09\u5566\uff01
\u56de\u4e00\u4e0b\u697c\u4e0a\uff01\u867d\u8bf4\u6ca1\u9519\uff0c\u4f46\u7edd\u4e0d\u662f\u6700\u7b80\u516c\u5206\u6bcd\uff0c\u697c\u4e3b\u7684\u90a3\u9898\uff0c\u516c\u5206\u6bcd\u662f2x-3\u6216\u80053-2x\uff01
2.设甲每天加工X件，乙每天加工Y件，则1200\X-10=1200\Y,Y=1.5X,解方程得X=40,Y=60；
3.设甲每周铺X千米，乙每周铺Y千米，则X+1=Y,18\X-3=18\Y解方程得X=2,Y=3
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绛旓細1.璁惧師璁″垝姣忓ぉ淇甔绫筹紝鍒1.8X锛3600\X-20锛=3600瑙鏂圭▼寰梄=80 2.璁剧敳姣忓ぉ鍔犲伐X浠讹紝涔欐瘡澶╁姞宸浠讹紝鍒1200\X-10=1200\Y,Y=1.5X,瑙ｆ柟绋嬪緱X=40,Y=60锛3.璁剧敳姣忓懆閾篨鍗冪背锛屼箼姣忓懆閾篩鍗冪背锛屽垯X+1=Y,18\X-3=18\Y瑙ｆ柟绋嬪緱X=2,Y=3 ...
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绛旓細绛旓細涓嶈兘銆傚洜涓 (x-2)(2x-3)/(x-2)(3x+1)=1鏃讹細(x-2)(2x-3)=(x-2)(3x+1)2x²-7x+6=3x²-5x-2 x²+2x²-8=0 (x+4)(x-2)=0 瑙ｅ緱锛歺1=-4锛泋2=2锛涙渶鍚庯紝瑙ｈ浠ｅ叆鍘鍒嗗紡鏂圭▼妫楠岋紝x2=2鑸嶅幓(鍘熸柟绋嬪垎姣嶇瓑浜0)锛泋=-4 鏄柟绋嬬殑瑙ｃ傝櫧鐒 (...
绛旓細1,璁剧涓娆℃崘娆炬湁x浜 4800/x=5000/(x+20)x=480 绛旇绗竴娆℃崘娆炬湁480浜 2.鍘熸潵瑙勫畾淇ソ杩欐潯鍏矾闇x涓湀 4+[1-4(1/x+1/(x+6)]/(1/(x+6)=x x=12 绛斿師鏉ヨ瀹氫慨濂借繖鏉″叕璺渶12涓湀 3.璇ユ枃鍏峰巶鍘熸潵姣忓ぉ鍔犲伐杩欑鏂囧叿x濂 2500/x-1000/x-(2500-1000)/1.5x=5 x=100 绛旇...
绛旓細瑙ｏ細璁句箼姣忕鍗杧鍏冿紝鍒欑敳姣忕鍗栵紙x+10)鍏冿紝鍙堣鐢茶繘浜唝绠遍ギ鏂欙紝鍒欎箼杩涗簡锛25-y锛夌楗枡銆傛嵁棰樻剰锛屽緱鏂圭▼缁勶細锛坸+10)*y=1000 鈶 x*(25-y)=1000+350 鈶 鐢扁憼寰 y=1000/(x+10) 鈶 灏 鈶唬鍏モ憽寰 x*[ 25-1000/(x+10)]=1350 鏁寸悊寰 25x^2-2100x-13500=0 瑙...
绛旓細7/(x²+x)+1/(x²-x)=6/(x²-1)7/x(x+1)+1/x(x-1)=6/(x+1)(x-1)閮戒箻浠(x+1)(x-1)寰楋細7(x-1)+(x+1)=6x 瑙ｅ緱锛歺=3 缁忔楠屾槸鍘鏂圭▼鐨勬牴
