如图:正方形ABCD和等腰直角三角形EFG(EF=FC)放在同一直线上，正方形从图示位置开始以2厘 如图：长方体ABCD和等腰直角三角形EFG(EF=FG)放在...

\u5982\u56fe\uff0c\u6b63\u65b9\u5f62ABCD\u7684\u8fb9\u957f\u662f8\u5398\u7c73\uff0c\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62EFG\u7684\u659c\u8fb9FG\u957f26\u5398\u7c73\uff0c\u6b63\u65b9\u5f62\u4e0e\u4e09\u89d2\u5f62\u653e\u5728\u540c\u4e00\u76f4\u7ebf\u4e0a\uff0cCF

\uff081\uff09\u5982\u4e0a\u56fe\uff1a\u6b63\u65b9\u5f626\u79d2\u949f\u79fb\u52a8\u7684\u8ddd\u79bb2\u00d76=12\uff08 \u5398\u7c73\uff09\uff0c\u6b63\u65b9\u5f62\u4e0e\u4e09\u89d2\u5f62EFG\u91cd\u53e0\u7684\u4e00\u6761\u8fb9\u957f12-10=2 \uff08\u5398\u7c73\uff09\uff0c\u7531\u4e8e\u4e09\u89d2\u5f62FEG\u662f\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u6240\u4ee5\u89d2EFG\u662f45\u5ea6\u89d2\u6240\u4ee5\uff0c\u91cd\u53e0\u7684\u5c0f\u4e09\u89d2\u5f62\u4e5f\u662f\u4e00\u4e2a\u7b49\u8170\u7684\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u5373\u5b83\u7684\u9ad8\u4e5f\u662f2\u5398\u7c73\uff08\u5982\u56fe\uff09\u6240\u4ee5\u91cd\u53e0\u90e8\u4efd\u7684\u9762\u79ef\uff1a2\u00d72\u00f72=2 \uff08\u5e73\u65b9\u5398\u7c73\uff09\uff0e\u7b54\uff1a\u91cd\u53e0\u90e8\u5206\u7684\u9762\u79ef\u662f2\u5e73\u65b9\u5398\u7c73\uff0e

\u7b2c14\u79d2\u672b\uff0c\u957f\u65b9\u5f62\u5411\u53f3\u5e73\u79fb\u4e8614*2=28\u5398\u7c73\uff0cA\u70b9\u5728E\u70b9\u53f3\u4fa7\uff0c AE=28-(8+18)=2\u5398\u7c73
\u8bbeAB\u4e0eEF\u4ea4\u4e8eM\uff0c\u5219AM=AE=2\u5398\u7c73\uff0cBM=6-2=4\u5398\u7c73
\u56e0\u6b64 \u91cd\u53e0\u9762\u79ef=6*8-4*4/2=40 \u5e73\u65b9\u5398\u7c73
\u5f53C\u70b9\u6070\u597d\u5728EF\u4e0a\uff0c\u6216B\u70b9\u5728FG\u4e0a\u65f6\uff0c\u91cd\u53e0\u9762\u79ef=6*6/2=18 \u5e73\u65b9\u5398\u7c73\u3002
C\u70b9\u5728EF\u4e0a\uff0cDE=6\uff0cD\u5e73\u79fb\u4e8618+6=24\u5398\u7c73
24/2=12\u79d2
\u5f53B\u70b9\u5728FG\u4e0a\uff0cAG=6\uff0c\u4e8e\u662f AE=28-6=22\u5398\u7c73\uff0c
A\u5e73\u79fb\u4e86 8+18+22=48 \u5398\u7c73
48/2=24 \u79d2
\u5373\uff0c12\u79d2\u672b\u548c24\u79d2\u672b\u65f6\uff0c\u91cd\u53e0\u9762\u79ef\u4e3a18\u5e73\u65b9\u5398\u7c73\u3002

14×2=28 6×6=36 8×8=64 64-36=28

15×2÷6×4

濡傚浘,姝ｆ柟褰BCD涓庣瓑鑵扮洿瑙涓夎褰FG(EF=EG)鏀惧湪鍚屼竴鐩寸嚎涓,宸茬煡姝ｆ柟褰...
绛旓細螖C鈥橤H鏄绛夎叞鐩磋涓夎褰紝D鈥楬=2 鈭碨螖D鈥橦K=1/2脳2脳2=2骞虫柟鍘樼背銆傗埓S閲嶅彔=S姝ｆ柟褰-S螖D鈥橦K=36-2=34骞虫柟鍘樼背銆

濡傚浘,姝ｆ柟褰BCD涓庣瓑鑵扮洿瑙涓夎褰㈠湪鍚屼竴鏉＄洿绾夸笂,鐜板湪涓夎褰笉鍔,姝...
绛旓細锛1锛4脳4梅2=8锛坈m 2 锛夛紱锛2锛6脳6梅2=18锛坈m 2 锛夛紱锛3锛6脳6-4脳4梅2=36-8=28锛坈m 2 锛夛紱锛4锛6脳6-2脳2梅2=36-2=34锛坈m 2 锛夛紱锛4锛夌18绉掓椂閲嶅悎闈㈢Н鍙堟槸姝ｆ柟褰鐨勪竴鍗婏細6脳6梅2=36梅2=18锛坈m 2 锛夛紟绗10绉掓椂锛岄噸鍙犻儴鍒嗙殑闈㈢Н鏄紙8锛夊钩鏂瑰帢绫筹紱绗11绉掓椂锛...

濡傚浘:姝ｆ柟褰BCD鍜岀瓑鑵扮洿瑙涓夎褰FG(EF=FC)鏀惧湪鍚屼竴鐩寸嚎涓,姝ｆ柟褰粠鍥...
绛旓細14脳2=28 6脳6=36 8脳8=64 64-36=28

濡傚浘,姝ｆ柟褰BCD鍜涓涓绛夎叞鐩磋涓夎褰DF,姝ｆ柟褰㈢殑杈归暱涓篴.闂兘鍚﹀皢...
绛旓細瑙ｏ細鈭姝ｆ柟褰BCD鍜涓涓绛夎叞鐩磋涓夎褰DF锛屾鏂瑰舰鐨勮竟闀夸负a锛屸埓姝ｆ柟褰ABCD鐨闈㈢Н涓猴細a2锛屸埓绛夎叞鐩磋鈻矨DF鐨勭洿瑙掕竟涓猴細AF=FD=22a锛屾晠绛夎叞鐩磋鈻矨DF鐨勯潰绉负锛12脳22a脳22a=a24锛屾鍥惧舰鐨勬婚潰绉负锛歛2+a24=54a2锛涙晠灏嗘鍥惧壀鎷兼垚涓涓柊姝ｆ柟褰㈢殑杈归暱涓猴細52a锛涘嵆CG=52a锛屽垯AG=...

姝ｆ柟褰BCD涓庣瓑鑵扮洿瑙涓夎褰EF鍙犳斁鍦ㄤ竴璧(濡傚浘),鐐筂,N鍒嗗埆涓篈D,CD杈...
绛旓細杩炴帴AC锛屸埖MN鏄疉D銆丆D鐨勪腑鐐癸紝鈭碝N鈭C锛孧N锛1/2AC锛屸埓S螖DNM锛1/4S螖ACD锛1/8S姝ｆ柟褰锛屸埓S闃村奖锛7S螖DMN锛14锛屸埓S螖DMN锛2锛屸埖ABCD鏄鏂瑰舰锛屸埓DM锛滵N锛屸埓1/2DM*DN锛2锛屸埓DM锛滵N锛2锛屸埓AB锛4锛孉F锛滱M锛滵M锛2锛屸埓BF锛滱B+AF锛6銆

濡傚浘,姝ｆ柟褰BCD涓庣瓑鑵扮洿瑙涓夎褰EF(瑙扙=90搴)浜や簬B,
绛旓細濡傚浘銆備护BA锛漚锕欏悜閲忥箽锛孊C锛漚'. EB锛漛. EF锛漛'鍒欙紝a²锛漚'²,b²锛漛'², aa'锛漛b'锛0, ab'锛漚'b ab锛-a'b'锕欓兘鏄暟绉箽鈶 FD锛-b'+b+a+a'GC锛滸D+DC锛滷D/2+DC锛濓箼-b'+b-a+a'锕/2 GE锛滸F+FE锛-FD/2+FE锛-锕檅'+b+a+a'锕/2 浠...

濡傚浘姝ｆ柟褰BCD鍜岀瓑鑵扮洿瑙鈻矰EF鏈夊叕鍏遍《鐐笵,鐐笶鍦ˋD杈逛笂,鐐笷鍦–D鐨...
绛旓細(3)璁続E=3k锛孋E=4k锛孉D=CD=k 鈭碘柍AEM鈭解柍CDE 鈭, 鍗=k:4k 鈭 AM=k, 鈭碊M= 鈭=

宸茬煡姝ｆ柟褰BCD鍜岀瓑鑵扮洿瑙涓夎褰EF,BE=EF,鈭燘EF=90掳,鎸夊浘1鏀剧疆,浣...
绛旓細瑙ｏ細瑙涓嬪浘锛岀孩鑹茬嚎涓轰綔鍥炬墍寮曠殑杈呭姪绾裤傦紙1锛夊浘1锛屽洜涓哄洓杈瑰舰ABCD鏄姝ｆ柟褰锛屸柍BEF鏄绛夎叞鐩磋涓夎褰紝鈭燘EF=90掳锛屾墍浠F//DH锛屽湪鈻矱FG鍜屸柍DHG涓紝鍥犱负G鏄疍F鐨勪腑鐐癸紝鎵浠G=DG,鈭燛FG=鈭燞DG(鍐呴敊瑙), 鈭燛GF=鈭燞GD(瀵归《瑙)锛屾墍浠モ柍EFG鈮屸柍DHG锛涘垯DH=EF=BE(绛夎叞涓夎褰㈢殑涓よ叞锛夈傦紙2锛夊浘...

(1)姝ｆ柟褰BCD涓庣瓑鑵扮洿瑙涓夎褰AQ濡傚浘1鎵绀洪噸鍙犲湪涓璧,鍏朵腑鈭燩AQ=90...
绛旓細锛1锛夆柍ADP鈮屸柍ABQ锛庣悊鐢憋細濡傚浘1锛屸埖鍥涜竟褰ABCD鏄姝ｆ柟褰锛屸埓AB=AD锛屸垹B=鈭燗DP=鈭燘AD=90掳鈭碘柍PAQ鏄绛夎叞鐩磋涓夎褰紝鈭碅Q=AP锛庘埖鈭燩AQ=90掳锛屸埓鈭燘AD=鈭燩AQ锛屸埓鈭燘AD-鈭燪AD=鈭燩AQ-鈭燪AD锛屸埓鈭燘AQ=鈭燩AD锛庘埖鍦ㄢ柍ADP鍜屸柍ABQ涓紝鈭燘AQ锛濃垹PADAB锛滱D鈭燘锛濃垹ADP锛屸埓鈻矨DP鈮屸柍ABQ锛圓SA锛夛紱...

涓閬撴暟瀛﹂:濡傚浘姝ｆ柟褰BCD鍜岀瓑鑵扮洿瑙涓夎褰EF
绛旓細璁続E=3K,EC=4K,鍒橝C=7k,鍦绛夎叞RT涓夎褰DC涓紝瑙ｅ緱AD,鏍规嵁涓夎褰ME鐩镐技浜庝笁瑙掑舰DEC锛屾眰鐨勬瘮鍊

扩展阅读：正方形abcd边长为8 ... 正方形abcde在bc边上 ... 铺了正方形地砖的客厅地面 ... 如图abcd是一个正方形 ... 一个长方形被分成abcd ... 一张长方形折起来后∠1 60 ... 如图 在四边形abcd中 ... 正方形abcd内有一点p ... 如图所示在正方形abcd中 ...