【数学题】求圆台展开图大扇形半径,小扇形半径,以及扇形圆心角.题目如下: 圆台扇形展开图
\u3010\u6570\u5b66\u9898\u3011\u6c42\u5706\u53f0\u5c55\u5f00\u56fe\u5927\u6247\u5f62\u534a\u5f84\uff0c\u5c0f\u6247\u5f62\u534a\u5f84\uff0c\u4ee5\u53ca\u6247\u5f62\u5706\u5fc3\u89d2\u3002\u9898\u76ee\u5982\u4e0b\uff1a\u6211\u7ed9\u4f60\u8be6\u7ec6\u7684\u6b65\u9aa4\u4e0e\u89e3\u6790\uff0c\u7b49\u6211\u4e0b\u554a\uff0c\u7ed9\u6211\u597d\u8bc4\u54c8
\u7528\u9ad8\u4e2d\u7684\u77e5\u8bc6L=\u03b1R\uff08\u03b1=N\u03c0/180\uff09\u5217\u51fa\u65b9\u7a0b\uff1a
26\u03c0=\u03b1R \u2192\u03b1=26\u03c0/R
28.6\u03c0=\u03b1\uff08R+24.5\uff09\u2192\u03b1=28.6\u03c0/\uff08R+24.5\uff09
\u518d\u4e24\u8fb9\u7b49\u4e00\u4e0b\u5c31\u662f\uff1a
26\u03c0/R=28.6\u03c0/\uff08R+24.5\uff09\uff0c\u89e3\u51fa\u6765\u5c31\u662fR=24.5\uff1bR+33.32=57.82\uff1b
\u6c42N\u7684\u8bdd\u56de\u5230\u4e4b\u524d\u768426\u03c0=\u03b1R \u89e3\u51fa\u03b1=N\u03c0/180=26\u03c0/24.5\u2192N\u2248191
\u66f4\u591a\u5706\u53f0\u6247\u5f62\u5c55\u5f00\u56fe\u8bf7\u70b9\u51fbhttp://image.baidu.com/search/index?ct=201326592&cl=2&st=-1&lm=-1&nc=1&ie=utf-8&tn=baiduimage&ipn=r&rps=1&pv=&fm=rs1&word=\u5706\u53f0\u5c55\u5f00\u56fe&ofr=\u5706\u53f0\u6247\u5f62\u5c55\u5f00\u56fe
\u5728\u767e\u5ea6\u56fe\u7247\u4e2d\u641c\u7d22\u201c\u5706\u53f0\u6247\u5f62\u5c55\u5f00\u56fe\u201d
绛旓細璁捐鎴彇鐨勫ぇ鍦嗛敟姣嶇嚎涓簂1,灏忓渾閿ユ瘝绾夸负l2,濡傚浘
绛旓細搴曢潰鍛ㄩ暱锛屽嵆灞曞紑鍚鎵囧舰鐨勫寮ч暱= 2蟺*鏍瑰彿锛70650/蟺锛=2*鏍瑰彿锛70650蟺锛変笂搴曢潰鍛ㄩ暱=2蟺*鏍瑰彿锛5024/蟺锛=2*鏍瑰彿锛5024蟺锛夎鍗婂緞涓篟锛屽渾褰㈣涓篴 鍒檃R=2*鏍瑰彿锛70650蟺锛塧锛圧-345.5锛=2*鏍瑰彿锛5024蟺锛夋墍浠 R=471.14 鍒扮涓鏉″姬鐨勮窛绂=471.14-345.5=125.64 ...
绛旓細鏇村鍦嗗彴鎵囧舰灞曞紑鍥捐鐐瑰嚮http://image.baidu.com/search/index?ct=201326592&cl=2&st=-1&lm=-1&nc=1&ie=utf-8&tn=baiduimage&ipn=r&rps=1&pv=&fm=rs1&word=鍦嗗彴灞曞紑鍥&ofr=鍦嗗彴鎵囧舰灞曞紑鍥 鍦ㄧ櫨搴﹀浘鐗囦腑鎼滅储鈥滃渾鍙版墖褰㈠睍寮鍥锯
绛旓細璁惧皬鎵囧舰鍗婂緞涓篟锛屽垯澶ф墖褰㈠崐寰勪负R锛33.32 璁惧渾蹇冭搴︽暟涓篘锛屽垯鏈夛細11蟺锛漀蟺R/180 40蟺锛漀蟺(R锛33.32)/180 瑙ｅ緱锛歊鈮12.64(cm)锛孨鈮156.65掳锛孯锛33.32鈮45.96(cm)鎵浠 姣嶇嚎闀跨害涓33.32(cm)锛灞曞紑鍥惧ぇ鎵囧舰鍗婂緞绾︿负45.96(cm)锛屽皬鎵囧舰鍗婂緞绾︿负12.64(cm)锛屾墖褰㈠渾蹇冭绾︿负156...
绛旓細鍦嗗彴鍙互鐪嬪仛鏄竴涓ぇ鍦嗛敟闄ゅ幓涓涓皬鍦嗛敟鑰屾垚锛岃屽渾閿ョ殑渚ч潰娌挎瘝绾垮壀寮锛灞曞紑鍚庢槸涓涓墖褰㈡墍浠ュ渾鍙扮殑渚ч潰灞曞紑鍙湅鎴愭槸涓涓澶ф墖褰闄ゅ幓涓涓皬鎵囧舰銆傛墖褰㈤潰绉湁涓涓绠楀叕寮忥紝灏辨槸S=0.5LR 鍏朵腑L鏄墖褰㈠姬闀匡紝R鏄墖褰㈠崐寰勶紝鍏朵腑L=鍦嗛敟鐨勫簳闈㈠懆闀垮ぇ鎵囧舰L=2蟺*5=10蟺 鍗婂緞涓篟 闈㈢Н涓篠 灏忔墖褰...
绛旓細杩欑浉褰撲簬鎶婂渾閿ョ殑椤舵埅鎺変簡鍓╀笅鐨勯儴鍒哰鍦嗗彴渚ч潰]銆傛寜鐩镐技涓夎褰㈢殑鐩镐技姣斿厛姹傚嚭琚埅鎺夌殑閭ｉ儴鍒嗗渾閿ラ珮搴锛250/400=h/(h+500)鈫250h+250*500=400h鈫抙=250*500/150=2500/3mm 鍐嶇敤鍕捐偂瀹氱悊姹傚嚭澶у渾閿ョ殑姣嶇嚎闀縇[杩欐槸灞曞紑鍚庣殑澶ф墖褰鍗婂緞]鍙婅鎴帀灏忓渾閿ョ殑姣嶇嚎闀縧[杩欐槸灞曞紑鍚庣殑灏忔墖褰㈠崐寰刔锛歀...
绛旓細165/140=锛圶+165锛/450 X=365 浠365涓哄崐寰勫垝寮э紙寮ч暱310蟺锛夛紝浠530锛365+165锛変负鍗婂緞鍒掑姬锛堝姬闀450蟺锛夛紝杩欎袱娈靛姬鎵鍖呬负鐨勯潰绉氨鏄悊璁轰笂鍦嗗彴鐨勬枡銆
绛旓細鍦嗗彴鐨勪晶闈㈢Н璁＄畻鏂规硶鍩轰簬鍏朵晶闈灞曞紑鍥銆傚渾鍙扮敱涓や釜搴曢潰鍗婂緞鍒嗗埆涓簉'鍜宺鐨勫渾锛屼互鍙婅繛鎺ュ畠浠殑姣嶇嚎l鏋勬垚銆傚叾渚ч潰灞曞紑鏄竴涓敱灏忔墖褰紙鍗婂緞涓簒锛夊拰澶ф墖褰锛堝崐寰勪负x+l锛夌粍鎴愮殑鎵囩幆銆傝鎵惧埌渚ч潰绉紝鍏抽敭鍦ㄤ簬鐞嗚В杩欎袱涓墖褰㈢殑寮ч暱鍏崇郴銆傚皬鎵囧舰鐨勫姬闀夸负2蟺r'锛屽ぇ鎵囧舰鐨勫姬闀夸负2蟺r銆傞氳繃璁惧畾灏忔墖褰㈠崐寰勪笌...
绛旓細璁撅細鍦嗗彴渚ч潰灞曞紑鎵囧舰鐨勫渾蹇冭涓簑锛屼笂搴曢潰灞曞紑鐨勫唴鍦嗗崐寰勪负R锛屽垯澶栧渾鍗婂緞鏄疪锛16 寰楋細wR=15 w(R锛16)=21 涓ゅ紡鐩搁櫎锛屽緱锛歊/(R锛16)=15/21 瑙ｅ緱锛歊=40 鍗筹細鍦嗗彴渚ч潰灞曞紑鐨勬墖褰㈢殑鍗婂緞鏄疪锛16=56锛屽姬闀挎槸L=21锛屽垯锛氬渾蹇冭鏄痺=L/(R锛16)=3/8寮у害銆
绛旓細鍒欏鍦嗗崐寰勫氨鏄痳+1059.48 寮ч暱=2*鍗婂緞*鍦嗗績瑙*蟺/360掳 寮ч暱宸=2*鍗婂緞宸*鍦嗗績瑙*蟺/360掳=2950蟺-2250蟺 鍦嗗績瑙=118.93掳 2250蟺=2*r*118.93掳*蟺/360掳 r=3405.36 r+1059.48=4464.84 鎵浠灞曞紑鍥灏辨槸 鍦嗗績瑙掍负118.93掳,鍐呭渾鍗婂緞涓3405.36,澶栧洯鍗婂緞涓4464.84鐨鎵囧舰鐜 ...
