动物园里有一群丹顶鹤和斑马,一共有25个脑袋,它们有50只眼睛和80只脚,丹顶鹤和斑马各有多少只?
\u52a8\u7269\u56ed\u91cc\u6709\u4e00\u7fa4\u4e39\u9876\u9e64\u548c\u6591\u9a6c\uff0c\u4e00\u5171\u670925\u4e2a\u8111\u888b\uff0c\u5b83\u4eec\u5171\u670950\u53ea\u773c\u775b\u548c80\u53ea\u811a\u3002\u4e39\u9876\u9e64\u548c\u6591\u9a6c\u5404\u6709\u591a\u5c11\u53ea\uff1f\u4e0d\u7528\u65b9\u7a0b\u7684\u89e3\u6cd5\uff1a
\uff08\u9996\u5148\u660e\u767d\u7684\u662f\uff0c\u4e39\u9876\u9e64+\u6591\u9a6c=25\u53ea\uff0c\u6bcf\u53ea\u4e39\u9876\u9e64\u662f2\u53ea\u811a\u7684\uff0c\u6bcf\u53ea\u6591\u9a6c\u662f4\u53ea\u811a\u7684\uff09
1\u300125 x 2=50 \u5047\u8bbe\u6240\u6709\u52a8\u7269\u90fd\u53ea\u6709\u4e24\u53ea\u811a\uff0c\u6240\u4ee525\u53ea\u52a8\u7269\u5c31\u670950\u53ea\u811a\uff0c
2\u300180 - 50=30\uff08\u4e4b\u524d\u5c11\u8ba1\u7684\u6591\u9a6c\u7684\u811a\u603b\u6570\uff09
3\u300130\u00f72=15 \uff08\u5c11\u8ba1\u7684\u6591\u9a6c\u811a\u603b\u6570\u9664\u4ee52\u5c31\u662f\u6591\u9a6c\u7684\u53ea\u6570\uff09
4\u300125-15=10\uff08\u603b\u52a8\u7269\u6570-\u6591\u9a6c\u6570=\u4e39\u9876\u9e64\u6570\uff09
\u6b63\u786e\u4e66\u5199\uff1a
\u56e0\u4e3a\u4e39\u9876\u9e64\u548c\u6591\u9a6c\u7684\u603b\u6570\u4e3a25\u53ea\uff0c\u6bcf\u53ea\u4e39\u9876\u9e64\u662f2\u53ea\u811a\uff0c\u6bcf\u53ea\u6591\u9a6c\u662f4\u53ea\u811a
\u5047\u8bbe\u6240\u6709\u52a8\u7269\u90fd\u53ea\u6709\u4e24\u53ea\u811a\uff0c\u6240\u4ee525\u53ea\u52a8\u7269\u7684\u811a\u6570\u4e3a
25 X 2 =50\uff08\u53ea\uff09
\u4e00\u5171\u670980\u53ea\u811a\uff0c\u90a3\u4e48\u591a\u51fa\u7684\u811a\u6570\u5c31\u662f\u6591\u9a6c\u7684\uff0c\u6240\u4ee5\u6591\u9a6c\u7684\u53ea\u6570\u4e3a\uff1a
\uff0880-50\uff09\u00f7 2 =15\u53ea
\u90a3\u4e48\u4e39\u9876\u9e64\u53ea\u6570\u4e3a\uff1a
25 - 15 =10\u53ea
\u6240\u4ee5\uff0c\u52a8\u7269\u56ed\u91cc\u4e39\u9876\u9e64\u670910\u53ea\uff0c\u6591\u9a6c\u670915\u53ea\u3002
\u7528\u65b9\u7a0b\u89e3\u6cd5\uff1a
\u8bbe\u4e39\u9876\u9e64\u6709x\u53ea\uff0c\u6591\u9a6c\u6709y\u53ea
x+y=25
2x+4y=80
\u89e3\u5f97
x=10
y=15
\u4e39\u9876\u9e64\u670910\u53ea\uff0c\u6591\u9a6c\u670915\u53ea
\u8fd9\u662f\u5c0f\u5b66\u5965\u6570\u7684\u9e21\u5154\u540c\u7b3c\u95ee\u9898
\u2235\u670950\u53ea\u773c\u775b\u2234\u670925\u4e2a\u5934
\u8bbe\u5168\u90e8\u90fd\u662f\u6591\u9a6c\uff08\u56db\u53ea\u811a\uff09\u5219\u5e94\u67094\u00d725=100\u53ea\u811a,\u6bd4\u5b9e\u9645\u591a\u51fa20\u6761\u817f
\u539f\u56e0\u662f\u628a\u4e39\u9876\u9e64\u7684\u4e24\u53ea\u811a\u7b97\u6210\u4e86\u56db\u53ea\u811a,\u6240\u4ee5\u5dee\u9664\u4ee5\u5dee,\u752820\u00f7\uff084-2\uff09=10\uff08\u53ea\uff09\u56e0\u4e3a\u73b0\u8bbe\u7684\u662f\u5168\u90e8\u90fd\u662f\u6591\u9a6c,\u6240\u4ee5\u5f97\u51fa\u7684\u662f\u4e39\u9876\u9e64\u7684\u6570\u91cf.\u670925-10=15\u53ea\u6591\u9a6c
\u540c\u7406\u8bbe\u5168\u662f\u4e39\u9876\u9e64
2\u00d725\uff1d50\uff08\u53ea\uff09
80\uff0d50\uff1d30\uff08\u53ea\uff09
\u6591\u9a6c\uff1a30\u00f7\uff084-2\uff09\uff1d15\uff08\u53ea\uff09
\u4e39\u9876\u9e6425\uff0d15\uff1d10\uff08\u53ea\uff09
2x+4y=80 x+y=25 解得x=10 y=15 丹顶鹤10和斑马15
绛旓細锛堥鍏堟槑鐧界殑鏄锛屼腹椤堕工+鏂戦┈=25鍙紝姣忓彧涓归《楣ゆ槸2鍙剼鐨勶紝姣忓彧鏂戦┈鏄4鍙剼鐨勶級1銆25 x 2=50 鍋囪鎵鏈鍔ㄧ墿閮藉彧鏈変袱鍙剼锛屾墍浠25鍙姩鐗╁氨鏈50鍙剼锛2銆80 - 50=30锛堜箣鍓嶅皯璁$殑鏂戦┈鐨勮剼鎬绘暟锛3銆30梅2=15 锛堝皯璁$殑鏂戦┈鑴氭绘暟闄や互2灏辨槸鏂戦┈鐨勫彧鏁帮級4銆25-15=10锛堟诲姩鐗╂暟-鏂戦┈鏁=涓归《...
绛旓細鏂戦┈=锛80-25X2锛壝2=15鍙 楣=25-15=10鍙
绛旓細鎵浠涓归《楣鏈10鍙紝鏂戦┈鏈25-10=15鍙
绛旓細4X+32-2X=40 2X=8 X=4 Y=12 璁鏂戦┈鏈塜鍙紝鍥犱负姣忓彧鏂戦┈鏈変袱鍙溂鐫涳紝鍥涙潯鑴氾紝姣忓彧涓归《楣鏈変袱鍙溂鐫涳紝涓ゆ潯鑴,鍒欎腹椤堕工鐨勫彧鏁颁负32/2-X,鍗16-X 鍙 4X+2*(32/2-X)=40 2X=8 X=4, 16-4=12.
绛旓細璁鏂戦┈x鍙紝涓归《楣y鍙傛牴鎹父璇嗗彲鐭ユ甯告儏鍐典笅姣忓彧鏂戦┈鏈夊洓鍙剼涓涓剳琚嬶紝姣忓彧涓归《楣ゆ湁涓ゅ彧鑴氫竴涓剳琚嬨傚鏋滄湁鐣稿舰鎴栨畫搴熷氨瑕佸彟澶栬璁轰簡銆傚ソ浜嗗垪鍑烘柟绋媂锛媃锛25 4X锛2Y锛80鍙В鍑簒涓15.y涓10鎴戣涓哄墠涓や釜鏉′欢鍙鐭ラ亾涓涓氨琛屼簡
绛旓細瑙,璁涓归《楣鏈墄鍙鏂戦┈y鍙 x*2+y*2=50 x*2+y*4=80 2x=50-2y 50-2y+4y=80 50+2y=80 2y=80-50 2y=30 y=15 2x+30=50 2x=20 x=10
绛旓細鈭垫湁50鍙溂鐫涒埓鏈25涓ご 璁惧叏閮ㄩ兘鏄枒椹紙鍥涘彧鑴氾級鍒欏簲鏈4脳25=100鍙剼,姣斿疄闄呭鍑20鏉¤吙 鍘熷洜鏄妸涓归《楣鐨勪袱鍙剼绠楁垚浜嗗洓鍙剼,鎵浠ュ樊闄や互宸,鐢20梅锛4-2锛=10锛堝彧锛夊洜涓虹幇璁剧殑鏄叏閮ㄩ兘鏄鏂戦┈,鎵浠ュ緱鍑虹殑鏄腹椤堕工鐨勬暟閲.鏈25-10=15鍙枒椹 鍚岀悊璁惧叏鏄腹椤堕工 2脳25锛50锛堝彧锛80锛50锛30...
绛旓細鏈50鍙溂鐫涳紝鏈25涓ご 璁惧叏閮ㄩ兘鏄枒椹紙鍥涘彧鑴氾級鍒欏簲鏈4脳25=100鍙剼锛屾瘮瀹為檯澶氬嚭20鏉¤吙 鍘熷洜鏄妸涓归《楣鐨勪袱鍙剼绠楁垚浜嗗洓鍙剼锛屾墍浠ュ樊闄や互宸紝鐢20梅锛4-2锛=10锛堝彧锛夊洜涓虹幇璁剧殑鏄叏閮ㄩ兘鏄鏂戦┈锛鎵浠ュ緱鍑虹殑鏄腹椤堕工鐨勬暟閲忋傛湁25-10=15鍙枒椹 鍚岀悊璁惧叏鏄腹椤堕工 2脳25锛50锛堝彧锛80锛50锛...
绛旓細杩欐槸閬撴暟瀛﹂鍚 璁句腹椤堕工x鍙紝鏂戦┈y鍙 鍥犱负涓归《楣ゅ拰鏂戦┈姣忓彧鍙湁涓涓ご锛屼竴鍏25涓ご 鎵浠+y=25 鍥犱负涓归《楣ゆ瘡鍙湁涓ゅ彧鑴氾紝鏂戦┈姣忓彧鏈4鍙剼锛屼竴鍏辨湁80鍙剼 鎵浠2x+4y=80 瑙e緱x=10 y=15 鎵浠ユ湁10鍙腹椤堕工锛15鍙枒椹
绛旓細妤间笅鏄爣鍑嗙殑瑙e喅鏂规銆傝繖閲屽彧鎻愪緵涓绉嶆柊鐨勬柟寮忔濊冿紝浠ヤ緵鍙傝冿細 25澶磋剼锛岃剼鐨勬绘暟搴斾负50锛屼絾涓轰粈涔堥澶栫殑30锛80-50锛夛紵鍥犱负锛屾瘡涓枒椹秴杩2鑻卞昂棰濆鐨30鑻卞昂鐨勬枒椹傝繖鏂戦┈瓒呰繃涓よ嫳灏猴紝澶氬皯鏂戦┈灏嗚秴杩30鑻卞昂鍚楋紵棰濆鐨勮剼鏁拌秴杩囦袱鑻卞昂/姣忔枒椹槸鏂戦┈锛鏂戦┈鏁=锛80-25 * 2锛/ 2 = 15锛涓归《楣鏄25...