笼子里有若干只鸡和兔。从上面数，有35个头。从下面数，有94只脚。鸡和兔各有几只？用方程天平原理 笼子里有若干只鸡和兔。从上面数，有35个头。从下面数，有94...
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\u9e21\u548c\u5154\u5b50\u4e00\u5171\u670935\u53ea\uff0c
\u800c\u4e00\u5171\u670994\u53ea\u811a\u3002
\u9e21\u7684\u6570\u91cf\u4e3aX\uff0c\u5154\u5b50\u7684\u6570\u91cf\u4e3aY\u3002
X+Y=35.
2X+4Y=94.
\u89e3\u51faX=23 Y=12
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\u603b\u53ea\u6570\uff0d\u9e21\u7684\u53ea\u6570=\u5154\u7684\u53ea\u6570
\uff082\uff09\u516c\u5f0f2\uff1a\uff08 \u603b\u811a\u6570\uff0d\u9e21\u7684\u811a\u6570\u00d7\u603b\u53ea\u6570\uff09\u00f7\uff08\u5154\u7684\u811a\u6570\uff0d\u9e21\u7684\u811a\u6570\uff09=\u5154\u7684\u53ea\u6570
\u603b\u53ea\u6570\uff0d\u5154\u7684\u53ea\u6570=\u9e21\u7684\u53ea\u6570
\u6574\u6570\u7684\u9664\u6cd5\u6cd5\u5219
\uff081\uff09\u4ece\u88ab\u9664\u6570\u7684\u9ad8\u4f4d\u8d77\uff0c\u5148\u770b\u9664\u6570\u6709\u51e0\u4f4d\uff0c\u518d\u7528\u9664\u6570\u8bd5\u9664\u88ab\u9664\u6570\u7684\u524d\u51e0\u4f4d\uff0c\u5982\u679c\u5b83\u6bd4\u9664\u6570\u5c0f\uff0c\u518d\u8bd5\u9664\u591a\u4e00\u4f4d\u6570\uff1b
\uff082\uff09\u9664\u5230\u88ab\u9664\u6570\u7684\u54ea\u4e00\u4f4d\uff0c\u5c31\u5728\u90a3\u4e00\u4f4d\u4e0a\u9762\u5199\u4e0a\u5546\uff1b
\uff083\uff09\u6bcf\u6b21\u9664\u540e\u4f59\u4e0b\u7684\u6570\u5fc5\u987b\u6bd4\u9664\u6570\u5c0f\u3002
兔=（94-35×2）÷2=12（只）
绛旓細瑙ｏ細璁鍏斿瓙鏈塜鍙紝鍒欓浮鏈35-X鍙 4X+2脳锛35-X锛=94 4X+70-2X=94 4X-2X=94-70 2X=24 X=24梅2 X=12 楦℃湁锛35-12=23鍙
绛旓細璁鍏斿瓙鏈墄鍙紝閭ｄ箞宸茬煡楦″ご鍔犲厰澶存湁35鍙紝鎵浠ラ浮鐨勬暟閲忓氨鏄35锛峹鍙紝鐒跺悗寰楀埌浠ヤ笅鏂圭▼寮忥細4x+2锛35-x锛夛紳94 瑙ｏ細4x+70-2x锛94 2x锛94-70 2x锛24 x锛12 鈭祒锛12锛屸埓35锛12锛23 绛旓細鍏斿瓙鏈12鍙紝楦℃湁23鍙
绛旓細濡傛灉鍏ㄦ槸楦★紝搴旇鏈45脳2=90鍙剼锛屽鍑烘潵100-90=10鍙剼锛鍏斿瓙鏁伴噺=10梅2=5 楦℃暟閲=45-5=40
绛旓細瀛閲屾湁鑻ュ共鍙浮鍜屽厰銆浠庝笂闈㈡暟锛屾湁4涓ご锛屼粠涓嬮潰鏁版湁10鍙剼銆傝楦″拰鍏斿悇鏈墄 , 4-x鍙 2x + 4 (4-x ) = 10 2x + 16 -4x =10 2x = 6 x =3 4 -3 =1 楦″拰鍏斿悇鏈 3 ,1
绛旓細绗竴绉嶆柟娉曪細鍋囪娉 鍋囪绗煎瓙閲鍏ㄦ槸鍏斻傦紙1锛夎绠楀嚭鎬昏剼鏁 35x4=140锛堝彧锛夛紙2锛夎绠楀嚭鑴氭暟涔嬪樊 140-94=46锛堝彧锛夛紙3锛夋昏剼鏁板樊梅涓鍙剼鏁板樊=楦＄殑鏁伴噺 46梅锛4-2锛=23锛堝彧锛夛紙4锛夊厰鐨勬暟閲=鎬鍙暟-楦＄殑鏁伴噺 35-23=12锛堝彧锛夋墍浠ラ浮鏈23鍙紝鍏旀湁12鍙傜浜岀鏂规硶锛氬垪鏂圭▼ 璁鍏斿瓙鏈墄...
绛旓細鍏(94锛35脳2)梅(4锛2)=12锛堝彧锛夐浮35锛12=23锛堝彧锛夌瓟锛氶浮鏈23鍙紝鍏旀湁12鍙
绛旓細闂:绗煎瓙閲屾湁鑻ュ共鍙浮鍜屽厰浠庝笂闈㈡暟鏈35涓ご锛屼粠涓嬮潰鏁版湁94鍙剼锛岄浮鍜屽厰鍚勬湁澶氬皯鍙傚垎鏋:棣栧厛锛岄浮鏄釜鏈変竴涓ご銆佷袱鍙剼鐨勫姩鐗┿傚厰鏄釜鏈変竴涓ご銆佸洓鍙剼鐨勫姩鐗┿傞偅涔熷氨鏄杩欎釜绗煎瓙閲楦″厰涓鍏辨湁35鍙紝鑰94鍙剼閲屾湁鍏旂殑鑴氾紝涔熸湁楦＄殑鑴氥傝В:璁惧厰鏈墄鍙紝楦℃湁y鍙,鍒欏厰鑴氭湁4x鍙紝楦¤剼鏈2y...
绛旓細鏂规硶1銆佸亣璁炬硶 鍋囪閮芥槸鍏斿瓙 楦=锛30脳4-88锛壝凤紙4-2锛=32梅2=16锛堝彧锛夊厰=30-16=14鍙紱鏂规硶2銆佸幓鑴氭硶 鍏=88梅2-30=14鍙 楦=30-14=16鍙
绛旓細涓嶄細鐢ㄥ垪琛ㄨВ锛屽彧濂界敤鏂圭▼瑙ｃ 璁撅細楦℃湁X鍙紝鍏鏈10-X鍙 瑙ｏ細2X+4(10-X)=34 2X+40-4X=34 -2X=34-40=-6 X=-6/-2=3锛堝彧锛 10-X=10-3=7锛堝彧锛 绛旓細楦℃湁3鍙紝鍏旀湁7鍙
绛旓細鏂规硶1銆鍏=20梅2-6=4锛堝彧锛夐浮=6-4=2锛堝彧锛夋柟娉2銆佸亣璁鹃兘鏄厰锛岄偅涔 楦=锛6脳4-20锛壝凤紙4-2锛=4梅2=2锛堝彧锛夊厰=6-2=4锛堝彧锛
