用4个相同的长方形能拼出几种不同的长方体？ 用4个相同的长方形,你能拼出几种不同的长方体
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\u4e09\u4e2a\u4fa7\u9762\u65b9\u5411\u4f9d\u6b21\u6392\u5f00\uff0c3\u4e2a\u4e09\u4e2a\u4fa7\u9762\u4e24\u4e24\u7ec4\u5408\u6392\uff0c3\u4e2a3+3=6\u4e2a
\u5f00\u59cb\u4e00\u4e2a\u957f\u65b9\u4f53\u7684\u957f\u5bbd\u9ad8\u4e3aa,b,c
\u56db\u4e2a\u53e0\u52a0\u5219\u67093\u79cd \u6b64\u65f6\u7684\u957f\u5bbd\u9ad8\u4e3a(4a,b,c),( a,4b,c),(a,b,4c)
\u4e24\u4e2a\u4e24\u4e2a\u53e0\u52a0\u518d\u5e73\u94fa\u5219\u67093\u79cd(a,2b,2c) ,(2a,b,2c),(2a,2b,c)
\u65b0\u957f\u65b9\u5f62\u7684\u957f\u4e0d\u53d8\uff0c\u5bbd\u4e3a\u539f\u6765\u957f\u65b9\u5f62\u76844\u500d\u3002
\u65b0\u957f\u65b9\u5f62\u7684\u957f\u548c\u5bbd\u90fd\u4e3a\u539f\u6765\u957f\u65b9\u5f62\u957f\uff0c\u5bbd\u76842\u500d\u3002
\u65b0\u957f\u65b9\u5f62\u7684\u5bbd\u4e0d\u53d8\uff0c\u957f\u4e3a\u539f\u6765\u957f\u65b9\u5f62\u76844\u500d\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u591a\u9762\u4f53\u4e0a\u4e24\u4e2a\u9762\u7684\u516c\u5171\u8fb9\u79f0\u4e3a\u591a\u9762\u4f53\u7684\u68f1\u3002\u957f\u65b9\u4f53\u670912\u6761\u68f1\uff0c\u5176\u4e2d\u67093\u7ec4\u76f8\u5bf9\u7684\u68f1\uff0c\u6bcf\u7ec4\u76f8\u5bf9\u76844\u6761\u68f1\u4e92\u76f8\u5e73\u884c\u3001\u957f\u5ea6\u76f8\u7b49(\u6709\u53ef\u80fd\u67098\u6761\u68f1\u957f\u5ea6\u76f8\u7b49)\u3002
\u957f\u65b9\u4f53\u67098\u4e2a\u9876\u70b9\uff0c\u76f8\u4ea4\u4e8e\u4e00\u4e2a\u9876\u70b9\u7684\u4e09\u6761\u68f1\u5206\u522b\u53eb\u4f5c\u957f\u65b9\u4f53\u7684\u957f(length)\u3001\u5bbd(width)\u3001\u9ad8(height)\u3002\u4e00\u822c\u60c5\u51b5\u4e0b\uff0c\u628a\u5e95\u9762\u4e2d\u8f83\u957f\u7684\u4e00\u6761\u68f1\u53eb\u4f5c\u957f\uff0c\u8f83\u77ed\u7684\u4e00\u6761\u68f1\u53eb\u4f5c\u5bbd\uff0c\u5782\u76f4\u4e8e\u5e95\u9762\u7684\u68f1\u53eb\u4f5c\u9ad8\u3002
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1-\u957f\u65b9\u4f53
用4个长方体能拼成6种不同的长方体
绛旓細鏍规嵁鏌ヨ鐧惧害棰樺簱璇曢寰楃煡锛岀敤4涓浉鍚岀殑闀挎柟浣擄紝鍙互鎷煎嚭锛 锛夌涓嶅悓鐨勯暱鏂逛綋.A.3锛B.4锛汣.5銆傜瓟妗堟槸B銆傛墍浠ユ槸4绉嶄笉鍚岀殑闀挎柟浣撳舰鐘躲傞暱鏂逛綋(鍙堢О鐭╀綋锛宑uboid)鏄簳闈负闀挎柟褰㈢殑鐩村洓妫辨煴锛堟垨涓娿佷笅搴曢潰涓虹煩褰㈢殑鐩村钩琛屽叚闈綋锛夈傚叾鐢卞叚涓潰缁勬垚鐨勶紝鐩稿鐨勯潰闈㈢Н鐩哥瓑锛屽彲鑳芥湁涓や釜闈紙...
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绛旓細鐢4涓浉鍚岀殑闀挎柟浣擄紝涓鍏辫兘鎷煎嚭6绉嶄笉鍚岀殑闀挎柟浣撳舰鐘銆1銆佸皢鍥涗釜鐩稿悓鐨勯暱鏂逛綋鎽嗘垚涓鎺掍竴鍏辨湁2绉嶃傚垎鍒负涓嬪浘涓殑2鍜4銆2銆佸皢鍥涗釜鐩稿悓鐨勯暱鏂逛綋鍚戜笂鎽嗘垚涓鎽炰竴鍏辨湁1绉嶅舰鐘讹紝涓轰笅鍥句腑鐨1銆3銆佸皢鍥涗釜鐩稿悓鐨勯暱鏂逛綋涓や釜涓や釜鎽嗘垚涓鎽炰竴鍏辨湁2绉嶅舰鐘讹紝涓轰笅鍥句腑鐨5鍜3銆4銆佸皢鍥涗釜鐩稿悓鐨勯暱鏂...
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绛旓細鐢4涓暱鏂逛綋鑳芥嫾鎴6绉涓嶅悓鐨勯暱鏂逛綋銆傚紑濮嬩竴涓暱鏂逛綋鐨勯暱瀹介珮涓篴锛宐锛宑鍥涗釜鍙犲姞鍒欐湁3绉嶏紝姝ゆ椂鐨勯暱瀹介珮涓猴紙4a锛宐锛宑锛夛紝锛坅锛4b锛宑锛夛紝锛坅锛宐锛4c锛夈備袱涓袱涓彔鍔犲啀骞抽摵鍒欐湁3绉嶏紙a锛2b锛2c锛夛紝锛2a锛宐锛2c锛夛紝锛2a锛2b锛宑锛夈6涓暱鏂逛綋闀夸笌闀跨浉杩炴垚涓鎺掞紱瀹戒笌瀹界浉杩炴垚涓鎺掞紱...
绛旓細鐢ㄥ洓涓浉鍚岀殑闀挎柟浣擄紝浣鑳芥嫾鍑哄灏戠涓鍚岀殑闀挎柟浣
绛旓細1. 鎯呭喌涓锛氬洓涓暱鏂逛綋閮界浉鍚屻傚鏋滃洓涓闀挎柟浣撶殑灏哄鍜屽舰鐘跺畬鍏ㄧ浉鍚岋紝閭ｄ箞瀹冧滑鍙兘鎷兼垚涓绉嶉暱鏂逛綋銆傚洜涓鍥涗釜鐩稿悓鐨勯暱鏂浣撴棤璁哄浣曟帓鍒楋紝鎷兼帴鎴愮殑闀挎柟浣撻兘鏄浉鍚岀殑銆2. 鎯呭喌浜岋細涓変釜闀挎柟浣撶浉鍚岋紝涓涓暱鏂逛綋涓嶅悓銆傚亣璁続銆丅銆丆涓変釜闀挎柟浣撶浉鍚岋紝鑰孌闀挎柟浣撲笌瀹冧滑涓嶅悓銆傞偅涔堟垜浠彲浠ヨ冭檻涓嶅悓鐨...
绛旓細鑳芥嫾鍑2绉嶄笉鍚岀殑闀挎柟浣撱傗憼涓瀛楀瀷鈶＄敯瀛楀瀷
