已知某几何体的直观图（图1）与它的三视图（图2），其中俯视图为正三角形，其它两个视图是矩形．（Ⅰ）求
\uff082014?\u91cd\u5e86\u4e8c\u6a21\uff09\u67d0\u51e0\u4f55\u4f53\u7684\u4e09\u89c6\u56fe\u5982\u56fe\u6240\u793a\uff0c\u5176\u4fa7\u89c6\u56fe\u662f\u4e00\u4e2a\u8fb9\u957f\u4e3a1\u7684\u7b49\u8fb9\u4e09\u89d2\u5f62\uff0c\u4fef\u89c6\u56fe\u662f\u4e24\u4e2a\u6b63\u4e09\u89d2\u5f62\u89e3\uff1a\u7531\u4e09\u89c6\u56fe\u77e5\uff1a\u51e0\u4f55\u4f53\u662f\u4e24\u4e2a\u5b8c\u5168\u76f8\u540c\u7684\u4e09\u68f1\u9525\u7684\u7ec4\u5408\u4f53\uff0c\u5176\u76f4\u89c2\u56fe\u5982\u56fe\uff1a\u4e14\u4e09\u68f1\u9525\u7684\u4e00\u6761\u4fa7\u68f1\u4e0e\u5e95\u9762\u5782\u76f4\uff0c\u7531\u4fa7\u89c6\u56fe\u662f\u4e00\u4e2a\u8fb9\u957f\u4e3a1\u7684\u7b49\u8fb9\u4e09\u89d2\u5f62\u5f97\uff0c\u68f1\u9525\u7684\u9ad8\u4e3a32\uff0c\u5e95\u9762\u6b63\u4e09\u89d2\u5f62\u7684\u8fb9\u957f\u4e3a1\uff0c\u2234\u51e0\u4f55\u4f53\u7684\u4f53\u79efV=2\u00d713\u00d712\u00d71\u00d71\u00d732\u00d732=14\uff0e\u6545\u9009\uff1aC\uff0e
\u89e3\uff1a\u7531\u4e09\u89c6\u56fe\u53ef\u77e5\u8be5\u51e0\u4f55\u4f53\u4e3a\u6b63\u4e09\u68f1\u67f1\uff0c\u5e95\u9762\u662f\u9ad8\u4e3a3\u7684\u6b63\u4e09\u89d2\u5f62\uff0c\u4e09\u68f1\u67f1\u7684\u9ad8h=3\uff0c\uff08\u2160\uff09\u5e95\u9762\u662f\u9ad8\u4e3a3\u7684\u6b63\u4e09\u89d2\u5f62\uff0c\u6613\u77e5\u5e95\u9762\u8fb9\u957f\u4e3a2\uff0c\u6240\u4ee5\u5e95\u9762\u9762\u79efs\uff1d12\u00d72\u00d73\uff1d3\uff0c\u6240\u6c42\u4f53\u79efV\uff1dsh\uff1d33\uff0e\uff08\u2161\uff09\u8fde\u63a5A1B\uff0c\u4e14A1B\u2229AB1=O\uff0c\u2235\u6b63\u4e09\u68f1\u67f1\u4fa7\u9762\u662f\u77e9\u5f62\uff0c\u2234\u70b9O\u662f\u68f1A1B\u7684\u4e2d\u70b9\uff086\u5206\uff09\u56e0\u4e3aD\u4e3a\u68f1A1C1\u7684\u4e2d\u70b9\uff0e\u8fde\u63a5DO\uff0c\u2234DO\u662f\u25b3A1BC1\u7684\u4e2d\u4f4d\u7ebf\uff0c\u2234BC1\u2225DO\uff0c\u53c8DO?\u5e73\u9762AB1D\uff0cBC1?\u5e73\u9762AB1D\uff0c\u2234BC1\u2225\u5e73\u9762AB1D\uff0e\uff089\u5206\uff09\uff08\u2162\uff09\u5728\u6b63\u4e09\u68f1\u67f1ABC-A1B1C1\u4e2d\uff0c\u4e09\u89d2\u5f62A1B1C1\u4e3a\u6b63\u4e09\u89d2\u5f62\uff0c\u2234B1D\u22a5A1C1\uff0e\uff0c\u53c8\u7531\u6b63\u4e09\u68f1\u67f1\u6027\u8d28\u77e5\u5e73\u9762A1B1C1\u22a5\u5e73\u9762ACC1A1\uff0c\u4e14\u5e73\u9762A1B1C1\u2229\u5e73\u9762ACC1A1=A1C1\uff0cB1D?\u5e73\u9762A1B1C1\uff0c\u2234B1D\u22a5\u5e73\u9762AA1D\uff0c\uff0812\u5206\uff09\u53c8B1D?\u5e73\u9762AB1D\uff0c\u2234\u5e73\u9762AB1D\u22a5\u5e73\u9762AA1D\uff0e\uff0814\u5206\uff09
由三视图可知该几何体为正三棱柱，底面是高为绛旓細鐢变笁瑙嗗浘鍙煡璇鍑犱綍浣涓烘涓夋１鏌憋紝搴曢潰鏄珮涓3鐨勬涓夎褰紝涓夋１鏌辩殑楂榟=3锛岋紙2鍒嗭級锛堚厾锛夊簳闈㈡槸楂樹负3鐨勬涓夎褰紝鏄撶煡搴曢潰杈归暱涓2锛屾墍浠ュ簳闈㈤潰绉痵锛12脳2脳3锛3锛屾墍姹備綋绉疺锛漵h锛33锛庯紙4鍒嗭級锛堚叀锛夎繛鎺1B锛屼笖A1B鈭〢B1=O锛屸埖姝ｄ笁妫辨煴渚ч潰鏄煩褰紝鈭寸偣O鏄１A1B鐨勪腑鐐癸紝锛5鍒嗭級鑻... 绛旓細瑙ｏ細锛堚厾锛夎瘉鏄庯細鈭佃鍑犱綍浣撶殑姝ｈ鍥句负鐭╁舰锛屽乏瑙嗗浘涓虹瓑鑵扮洿瑙掍笁瑙掑舰锛屼刊瑙嗗浘涓虹洿瑙掓褰紝 鈭 涓や袱鍨傜洿锛屼互 鍒嗗埆涓簒锛寉锛寈杞村缓绔嬬┖闂寸洿瑙掑潗鏍囩郴濡傚浘锛屽垯 锛屸埓 锛 锛屸埓 锛屽張 锛屸埓 銆傦紙鈪★級鈭 锛 鏄钩闈 1 B 1 N鐨涓涓硶鍚戦噺 锛岃 鐨勪竴涓硶鍚戦噺锛屽垯 锛屾墍浠ュ彲鍙... 绛旓細瑙ｏ細锛1锛璇佹槑锛氱敱涓夎鍥惧彲鐭A鈯ュ钩闈BCD锛 鍗矪M鈯A锛屽張AB=BC锛屼笖M鏄疉C鐨勪腑鐐癸紝 鍗矪M鈯C锛屾墍浠M鈯ュ钩闈AC銆 锛2锛夎繛鎺M寤堕暱浜D浜嶦锛屽嵆E涓篈D鐨勪腑鐐癸紝 鍙堝彇PA涓偣涓篎锛岃繛鎺F锛孍F鈭D锛屽嵆PD涓庡钩闈AC鎵鎴愮殑瑙掞紝杞寲涓篍F涓庡钩闈AC 鎵鎴愮殑瑙掞紝鈭燤FE涓篍F涓庡钩闈AC鎵鎴愮殑瑙掞紝 锛... 绛旓細锛1锛璇佹槑锛氭柟娉曚竴锛氱敱棰樻剰锛氳鍑犱綍浣撶殑姝ｈ鍥惧叾姝ｈ鍥句负鐭╁舰锛屼晶瑙嗗浘涓虹瓑鑵扮洿瑙掍笁瑙掑舰锛屼刊瑙嗗浘涓虹洿瑙掓褰紟鍒橞1C1鈯ラ潰ABB1N锛屼笖鍦ㄩ潰ABB1N鍐咃紝鏄撹瘉鈭燘NB1涓虹洿瑙掞紟鈭礏1C1鈯ラ潰ABB1N锛屼笖BN?闈BB1N锛屸埓B1C1鈯N鍙堚埖BN鈯1N锛屼笖B1N鈭〣1C1=B1锛屸埓BN鈯ラ潰B1NC1鏂规硶浜岋細璇ュ嚑浣曚綋鐨勬瑙嗗浘鍏舵... 绛旓細鈭村洓杈瑰舰ABDN鏄釜鐭╁舰锛屸埓DN=4锛屼笖DN鈯B1 鈭粹柍BDN鍜屸柍B1DN鏄袱涓叏绛夌殑鐩磋绛夎叞涓夎褰 鈭碆N=NB1=4鈭2 鈭礐1B1=4锛孊N=4鈭2锛孋1B1鈯B 鈭寸敱鍕捐偂瀹氱悊寰桸C1=鈭48=4鈭3 鈭礏B1鈯1B1锛孋1B1=4锛孊B1=8锛屸埓鍕捐偂瀹氱悊寰桞C1=鈭80=4鈭5 鈭礏N=4鈭2锛孨C1=4鈭3锛孊C1=4鈭5 鈭村湪鈻矪NC1鐨... 绛旓細宸茬煡鏌愬嚑浣曚綋鐩磋鍥鍜屼笁瑙嗗浘濡傚浘鈥︹︹ 鎴戞潵绛 1涓洖绛 #鐑# 涓轰粈涔堢幇鍦ㄦ儏鏅枩鍓ц秺鏉ヨ秺灏戜簡? tbb1499219576 2015-03-15 路 TA鑾峰緱瓒呰繃566涓禐 鐭ラ亾灏忔湁寤烘爲绛斾富 鍥炵瓟閲:1138 閲囩撼鐜:0% 甯姪鐨勪汉:105涓 鎴戜篃鍘荤瓟棰樿闂釜浜洪〉 鍏虫敞 灞曞紑鍏ㄩ儴 杩界瓟 鏈洖绛旂敱鎻愰棶鑰呮帹鑽 宸茶禐杩 宸茶俯杩<... 绛旓細鈭磘an鈭燗FE= AE EF = 2 3 2 = 6 锛庯紙4锛夌敱涓夎鍥惧彲鐭E=2 3 锛屼笖涓轰笁妫遍敟鐨勯珮锛屼笁妫遍敟A-BCD鐨勪綋绉负 V= 1 3 ?2 3 ? 1 2 脳4脳4= 16 3 3 锛坈m 3 锛夌敱锛2锛夊彲鐭D鈯C锛孋D鈯C鈭碨 鈻矨CD =S 鈻矪... 绛旓細瑙ｏ細鐢变笁瑙嗗浘鍙煡锛氳鍑犱綍浣鏄敱涓嬮潰闀裤佸銆侀珮鍒嗗埆涓4銆4銆2鐨勯暱鏂逛綋锛屼笂闈负楂樻槸2銆佸簳闈㈡槸杈归暱鍒嗗埆涓4銆4鐨勭煩褰㈢殑鍥涙１閿ワ紝鑰岀粍鎴愮殑鍑犱綍浣擄紟瀹鐨勭洿瑙傚浘濡傚浘锛庘埓S琛ㄩ潰绉=4脳2脳4+4脳4+4脳12脳4脳22=48+162锛嶸浣撶Н=4脳4脳2+13脳4脳4脳2=1283锛 绛旓細锛1锛鐢遍鎰忕煡璇鍑犱綍浣撶殑浣撶НV=VP-EFGH+VABCD-EFGH=13脳202脳30+202脳10=8000锛坢2锛夛紟锛2锛夊鍥撅紝杩炴帴EG锛孒F锛孊D锛孍G鈭〩F=O锛岃繛鎺O锛岀敱姝ｅ洓妫遍敟鐨勬ц川鐭ワ細PO鈯ュ钩闈FGH锛屸埓PO鈯F锛屽張鈭礒G鈯F锛屸埓HF鈯ュ钩闈EG锛屽張鈭礏D鈭F锛屸埓BD鈯ュ钩闈EG锛 绛旓細鏈鐨勬瀯鍥炬柟寮忔槸閫氳繃涓夎鍥炬潵缁欏嚭锛屽苟涓旀洿涓洪噸瑙嗗绌洪棿鍑犱綍浣撶殑璁よ瘑.锛堚厾锛夎鍑犱綍浣撶殑鐩磋鍥濡傚浘1鎵绀猴紝瀹冩槸鏈変竴鏉′晶妫卞瀭鐩翠簬搴曢潰鐨勫洓妫遍敟. 鍏朵腑搴曢潰ABCD鏄竟闀夸负6鐨勬鏂瑰舰锛岄珮PD=6锛屾晠鎵姹備綋绉槸 锛堚叀锛変緷棰樻剰锛屾鏂逛綋鐨勪綋绉槸鍘熷洓妫遍敟浣撶Н鐨3鍊嶏紝鏁呯敤3涓繖鏍风殑鍥涙１閿ュ彲浠ユ嫾鎴愪竴涓１闀夸负... 本站交流只代表网友个人观点，与本站立场无关 |
