如图,长方形abcd的长为2厘米,宽为1厘米,通过折叠剪裁的方式,能将长�方形拼成一个正方形吗？
\u5982\u56fe\uff0cABCD\u4e3a\u6b63\u65b9\u5f62\uff0c\u5df2\u77e5\u9634\u5f71\u90e8\u5206\u7684\u9762\u79ef\u662f10.26\u5e73\u65b9\u5398\u7c73\uff0c\u6b63\u65b9\u5f62ABCD\u7684\u9762\u79ef\u662f\u591a\u5c11\u5e73\u65b9\u5398\u7c73\uff1f\u9634\u5f71\u90e8\u5206\u9762\u79ef=\u5706\u7684\u9762\u79ef-\u6b63\u65b9\u5f62\u9762\u79ef
\u8bbe\uff1a\u5706\u7684\u534a\u5f84\u4e3ar
\u03c0r²\u20141/2\u00d72r\u00d72r=10.26 \uff08\u6b63\u65b9\u5f62\u4e5f\u662f\u83f1\u5f62\u3002\u53ef\u7528\u83f1\u5f62\u9762\u79ef\u8ba1\u7b97
\u5373\uff1a\u5bf9\u89d2\u7ebf\u4e58\u79ef\u7684\u4e00\u534a\uff09
r²=10.26/(\u03c0\u20142\uff09
r²=\uff0810.26/(3.14-2)
=9
\u6240\u4ee5r=3
\u6b63\u65b9\u5f62\u4e5f\u662f\u83f1\u5f62\u3002\u53ef\u7528\u83f1\u5f62\u9762\u79ef\u8ba1\u7b97
\u5373\uff1a\u5bf9\u89d2\u7ebf\u4e58\u79ef\u7684\u4e00\u534a
\u6240\u4ee5\u8fd9\u4e2a\u6b63\u65b9\u5f62\u9762\u79ef\u4e3a\uff1a(1/2)\u00d7\uff082r\uff09\u00d7\uff082r\uff09=1/2\u00d76\u00d76=18
\u4e09\u89d2\u5f62\u7684\u9762\u79efABxBEx1/2=BE
\u68af\u5f62\u7684\u9762\u79ef\uff08AD+EC\uff09xABx1/2=12-BE
m\u9762\u79ef\u4e09\u500d \u6240\u4ee5\u53ef\u5f973BE=12-BE BE=3
\u5468\u957f\u4e09\u89d2\u5f62\u662f5+AE \u68af\u5f6211+AE
\u5dee\u662f\u516b\u5398\u7c73
边长=√2=1.414厘米
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绛旓細CD=2 CE=CB-BE BE=0.4T 鈭碨=3-0.4T (2)S=2 浠ｅ叆锛1锛変腑姹傚緱 T=2.5
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绛旓細绗浜绉峉闃村奖=S骞宠鍥涜竟褰BEF-S涓夎褰BG锛2锛4锛2脳锛4锛1锛夐櫎浠2锛5 閲囩撼浠庨燂紒
绛旓細S螖BCE=2/3S螖BCD=1/3S鐭╁舰ABCD=2/3锛岃繃G浣淕P鈭D浜E浜嶱锛屽垯鈭燜DE=鈭燜GP锛屸垹FED=鈭燜PG锛屸埖F鏄疍G涓偣锛屸埓FP=FE锛岋紝鈭次擣GP鈮屛擣DE锛屸埓GP=DE锛屸埖CE=2DE锛屸埓CE=2PG锛屸埓PG鏄擝CE鐨勪腑浣嶇嚎锛孭F=EF=1/2BP锛屸埓S螖BPG=1/4S螖BC=1/4脳2/3=1/6锛孲螖PFG=1/2S螖BPG=1/12锛屸埓S...
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绛旓細A锛毾脳AB脳2梅4=3.14鍘樼背 C锛毾脳BC脳2梅4=1.57鍘樼背
绛旓細鍒嗘瀽锛氶鍏堢偣E杩戒笂F闇瑕12/(4-1)=4s锛屾鏃剁偣E鍦˙C涓婏紝鏁翠釜杩囩▼F閮藉湪BC涓婏紝G閮藉湪DC涓 瑙ｏ細锛1锛堿E=4t锛孊F=t EB=12-4t 锛孎C=8-t 鈭礒B=FC 鈭12-4t=8-t锛岃В寰梩=4/3 锛2锛塼=1鏃 AE=4锛孍B=8锛孊F=1锛孎C=7锛孋G=1 S鈻矱FG=S姊舰EBCG-S鈻矱BF-S鈻矲CG =锛1+8锛壝8/2-8...
绛旓細搴旇涓嶆槸寰堥毦 浠鐐逛负鍘熺偣,BC涓簒杞存鍚,BA涓簓杞存鍚戝缓绔嬬洿瑙掑潗鏍囩郴,鍋囪C鐐圭殑鍧愭爣涓(a,0),A鐐圭殑鍧愭爣涓(0,b),鍒欐湁a*b=2,BE鐨勭洿绾挎柟绋嬩负:y=2bx/3a,DG鐨勭洿绾挎柟绋嬩负:y=2bx/a-b,鑱旂珛淇╃洿绾挎柟绋嬪彲姹傚緱浜ょ偣F鐨勫潗鏍囦负(3/4a,b/2),鑱旂粨CF,鍙绠楀嚭FCG鐨勯潰绉负ab/8,FCD鐨勯潰绉负ab/...
绛旓細鍙堝洜涓篎鏄疍G鐨勪腑鐐广傛墍浠鈯緽FG锛漇鈯緽FD 鍗2S鈯緽FD 锛漇鈯緽FG+S鈯縂FC锛漇鈯緽FD+S鈯縂FC 鎵浠ワ細S鈯緽FD 锛漇鈯縂FC 鎵浠ワ細S闃村奖锛漇鈯縂FC+S鈯緾EF 锛漇鈯緽FD+S鈯緿EF 锛漇鈯緽ED 鑰 S鈯緽CD锛1/2S闀挎柟褰BCD锛1锛堝钩鏂瑰帢绫筹級S鈯緽ED锛1/3S鈯緽CD=1/3锛堝钩鏂瑰帢绫筹級鎵浠ワ細S闃村奖锛1/3锛堝钩鏂瑰帢绫筹級濡...
