题目中所说的所有棱长指的是哪些边?【高中数学空间向量】

\u9ad8\u4e2d\u6570\u5b66\u7a7a\u95f4\u5411\u91cf\u9898

\u89e3\u5411\u91cf\u9898\u6700\u91cd\u8981\u7684\u5c31\u662f\u5efa\u7acb\u5750\u6807\u7cfb\uff0c\u6709\u4e86\u76f4\u89c2\u7684\u56fe\u50cf\u5c31\u6bd4\u8f83\u597d\u5206\u6790\u4e86\u3002
\u6839\u636e\u5b9a\u7406\u53ef\u77e5\uff0c
\u8981\u8bc1\u660eMN//\u5e73\u9762CDE\uff0c\u53ea\u8981\u8bc1\u660e\u5411\u91cfMN\u22a5\u9762CDE\u7684\u6cd5\u5411\u91cfn\uff0c
\u6839\u636e\u5efa\u7acb\u7684\u5750\u6807\u7cfb\uff0c\u548c\u5df2\u77e5\u7684\u4fe1\u606f\uff0c\u8bbe\u5b9a\u51fa\u5404\u4e2a\u70b9\u7684\u5750\u6807\uff0c\u5e76\u6c42\u51faN,M\u7684\u5750\u6807\uff0c\u8fdb\u800c\u5f97\u5230MN\u5411\u91cf\u7684\u5411\u91cf\u503c\u3002
\u56e0\u4e3a\u6240\u7ed9\u7684\u90fd\u662f\u77e9\u5f62
\u5219\u77e5\uff1a
\u5411\u91cfAD\u4e3a\u9762CDE\u7684\u6cd5\u5411\u91cf\uff08AD\u22a5DE,AD\u22a5DC\uff09
\u6839\u636e\u516c\u5f0f\uff0c\u8bc1\u660e\u5411\u91cfMN\u00d7\u6cd5\u5411\u91cfn=0,\u5373\u53ef\u5f97\u51fa\u7ed3\u8bba\u3002
\u5177\u4f53\u7684\u8fc7\u7a0b\u8fd9\u91cc\u4e0d\u4fbf\u4e66\u5199\uff0c\u53ea\u5e0c\u671b\u8fd9\u79cd\u65b9\u6cd5\u80fd\u5e2e\u5230\u4f60\u3002

1\u3001\u4ee5DA\u3001DC\u3001DD1\u4e3ax,y,z\u8f74\u5efa\u7cfb\u3002
\u8bbe\u6b63\u65b9\u4f53\u7684\u68f1\u957f\u4e3a1\uff0c\u5219E(0,0,1/2),G(0,3/4,0),H(0,7/8,1/2),F(1/2,1/2,0)
\uff081\uff09EF\u5411\u91cf\u4e3a(1/2,1/2,-1/2),B1C\u5411\u91cf\u4e3a(-1,0,-1)
\u4e24\u4e2a\u5411\u91cf\u7684\u5185\u79ef\u4e3a0\uff0c\u6240\u4ee5\u5782\u76f4\u3002
\uff082\uff09EF\u5411\u91cf\u4e3a(1/2,1/2,-1/2)\uff0cC1G\u5411\u91cf\u4e3a(0,-1/4,-1)
\u5411\u91cf\u6210\u89d2\u7684\u4f59\u5f26\u503c=\u5185\u79ef/\u6a21\u957f\u7684\u79ef=\uff083/8\uff09/\uff08\u6839\u53f751/8\uff09=\u6839\u53f751/17
\u6240\u6c42\u4e3a\uff1a\u6839\u53f751/17
\uff083\uff09F(1/2,1/2,0)\uff0cH(0,7/8,1/2\uff09\uff0c\u4e24\u70b9\u95f4\u8ddd\u79bb\u516c\u5f0f\u5f97\uff1a\u6839\u53f741/8
2\u3001\u4e0e\u4e0a\u9762\u76f8\u540c\u7684\u65b9\u6cd5\u5efa\u7cfb\uff0c\u8bbeP\uff080,0,z\uff09
\u6240\u4ee5\u8981\u6c42B1D\u5782\u76f4\u4e8ePA\uff0c\u5411\u91cfB1D\u4e3a\uff08-a,-a,-a\uff09,PA\u4e3a(a,0,-z)
\u5185\u79ef\u4e3a0\uff0c\u89e3\u5f97\uff1az=a\uff0c\u6240\u4ee5\u5b58\u5728\uff0c\u5c31\u662f\u70b9D1
3\u3001\u53d6BC\u7684\u4e2d\u70b9\u4e3aO\uff0c\u5219AO\u5782\u76f4\u4e8e\u5e95\u9762\uff0c\u4ee5OC\u3001OY\uff08OY\u5e73\u884c\u4e8eCD\uff09\uff0cOA\u4e3ax,y,z\u8f74\u5efa\u7cfb\uff0c\u5219\u5404\u70b9\u5750\u6807\u4e3a\uff1aA(0,0,z)D(1,\u6839\u53f72\uff0c0)\uff0cC\uff081\uff0c0\uff0c0\uff09\uff0cE\uff08-1\uff0c\u6839\u53f72\uff0c0\uff09
\u6240\u4ee5AD\u5411\u91cf\u4e0eCE\u5411\u91cf\u7684\u5185\u79ef=0\uff0c\u5f97\u8bc1\u3002
\uff082\uff09\u7531\u4fa7\u9762\u6b63\u4e09\u89d2\u5f62\uff0c\u5219AO=\u6839\u53f73=z
\u5206\u522b\u8ba1\u7b97\u4e24\u4e2a\u9762\u7684\u6cd5\u5411\u91cf\uff0c\u6c42\u6cd5\u5411\u91cf\u6210\u89d2\u7684\u4f59\u5f26\u503c\uff08\u65b9\u6cd5\u4e0e1\u540c\uff09\u5c31\u53ef\u4ee5\u5f97\u5230\u4e86\u3002
\u7ed9\u4f60\u4e00\u4e2a\u77e5\u8bc6\u70b9\u7684\u5c0f\u7ed3\uff0c\u662f\u6211\u4e0a\u4f20\u7684\u3002
http://wenku.baidu.com/view/52496429647d27284b7351c6.html
\u5e0c\u671b\u6709\u5e2e\u52a9\u3002

底面边长和高

ab ac bc a,a b,b c,c ab,
a,b, b,c, a,c,

正三棱柱的五个面的边啊

  • 楂樹簩鏁板棰,涓轰粈涔圓B鍜孉C涔熺瓑浜2?涓嶆槸璇村彧鏄妫遍暱绛変簬2鍚,AB鍜孉C涔熸槸妫...
    绛旓細棰樼洰鏉′欢锛氭涓夋1鏌鐨勫悇妫遍暱閮戒负2銆傝〃绀烘墍鏈夌殑杈癸紝闀垮害閮戒负2锛屽嵆涓婁笅涓や釜涓夎褰㈡槸绛夎竟涓夎褰紝杈归暱涓2锛3涓晶闈㈡槸姝f柟褰紝杈归暱涔熸槸2.
  • 闀挎柟浣鎵鏈夋1闀跨殑鍜屾槸10.4绫,闀1.2绫,瀹60鍘樼背,楂樻槸澶氬皯绫?
    绛旓細闀挎柟褰㈠叡4鏉¢珮锛4鏉″锛屽洓鏉¢暱锛屾墍浠ラ暱瀹介珮鐨鍜屼负10.4/4=2.6锛屾牴鎹棰樼洰鍙煡楂樹负2.6-1.2-0.6=0.8绫
  • ...搴曢潰鏄竴涓鏂瑰舰,瀹冪殑楂樻槸12cm,瀹冩墍鏈鐨勬1闀涔嬪拰鏄120cm銆傝繖涓暱鏂...
    绛旓細浜插晩锛岀湅鍒颁綘鐨勮繖涓棶棰橈紝灏辩偣杩涙潵鍥炵瓟涓嬪惂銆備翰锛岃繖閬撴暟瀛﹂涓嶆槸寰堥毦寰楋紝棰樼洰涓宸茬粡鍛婅瘔鎴戜滑闀挎柟浣撶殑楂樻槸12鍘樼背浜嗭紝鍙姹傚嚭搴曢潰鐨勮竟闀灏卞彲浠ヤ簡锛屽叿浣撶殑瑙i姝ラ濡備笅鍥炬墍绀猴細
  • 姹傚叚骞寸骇涓嬩範棰樼瓟妗,鏈棰樼洰,鍥炵瓟鑰呰鏍囧簭鍙,璋㈣阿,璋㈣阿
    绛旓細鐢ㄤ竴鏍归暱搴︿负150cm鐨勫鏂欑鍜屾鐨偿鍋氫竴涓湁涓夋潯妫遍暱鍒嗗埆涓 12 鍘樼背 锛10 鍘樼背鍜 8 鍘樼背鐨勯暱鏂逛綋鏋跺瓙锛屽簲璇ュ浣曡鍓繖璺熷鏂欑锛熶竴鏍鐨勬1闀闇鍥涙牴锛屽嵆12銆10銆8鍚勯渶鍥涙牴銆備竴鍙暱鏂逛綋鏃犵洊绾哥洅鐨勬1闀垮垎鍒负 4 鍘樼背 6 鍘樼背鍜 8 鍘樼背杩欎釜绾哥洅鐨勫琛ㄩ潰绉拰瀹圭Н鍚勬槸澶氬皯锛熸病鏈夋寚瀹氶暱銆佸涓庨珮锛...
  • 鍥涙1鏌鐨勬墍鏈夋1闀閮界浉绛,杩欎釜鍥涙1鏌辨槸涓嶆槸姝f柟浣?涓轰粈涔?
    绛旓細涓嶄竴瀹 濡傛灉鍏釜闈㈤兘鏄鏂瑰舰锛岄偅涔堝洓妫辨煴灏辨槸姝f柟浣 濡傛灉搴曢潰涓嶆槸姝f柟褰紙搴曢潰涓鸿彵褰㈡椂涔熸弧瓒棰樼洰鏉′欢锛夛紝閭d箞灏变笉鏄鏂逛綋銆
  • 鎬庢牱鍋氳繖閬棰樼洰:涓涓鏂瑰舰鐨勬1闀鎬诲拰鏄24鍘樼背,瀹冪殑浣撶Н鏄灏
    绛旓細鍥犱负姝f柟浣撴湁12鏉℃1锛岄偅涔妫遍暱鏄锛24梅12=2鍘樼背 鎵浠ュ畠鐨浣撶Н鏄細2脳2脳2=8绔嬫柟鍘樼背
  • 鍏勾绾х殑濂ユ暟棰
    绛旓細浜,"绛旈潪鎵闂" 杩欎竴閿欒鐨浜х敓鏄敱浜庡悓瀛︿滑鍦ㄨВ棰樻椂鍏虫敞鐐逛笉鍏ㄩ潰,鎯充簡杩欎釜蹇樹簡閭d釜銆傛垜浠旂粏鍒嗘瀽,澶ц嚧鎯呭喌鏄繖鏍:鍦ㄦ瘡閬棰樹腑閮芥湁涓涓禌鐐,鎴栬璇存槸涓涓毦鐐,鏈変簺棰樻槸 鍑虹幇杩炵画鐨勫嚑涓禌鐐,涓鑸悓瀛︿滑鍦ㄧ獊鐮磋禌鐐,瑙e喅闅剧偣鍚庢槸闈炲父鍏村鐨,鎴戞噦浜,鎴戜細浜,鎴戞槑鐧,缁欒嚜宸辩殑鎰熻鏄繖閬撻鐨勫垎鏁板斁鎵嬪彲寰,灏变粈涔...
  • 鏁板棰樸
    绛旓細鍏朵腑鐨勮鐐规槸锛氬嚑浣曚綋8涓《瑙掓槸涓夐潰娑傝壊姣忔潯妫憋紙鍒ㄩ櫎涓ょ鐨勯《瑙掗儴鍒嗭級鏄袱闈㈡秱鑹叉瘡涓潰涓婃棦涓嶆槸妫变篃涓嶆槸瑙掞紝鑰屾槸琚粬浠墍鍖呭洿鐨勯儴鍒嗘槸涓闈㈡秱鑹插洜涓哄彧鏄〃闈㈡秱鑹诧紝鎵浠ュ湪鍑犱綍浣撳唴閮ㄨ澶栧眰鍖呭洿鐨勪綇鐨勯儴鍒嗘槸鍏ㄧ櫧銆 浣犳墍鎸囩殑闀挎柟浣撳畠鐨勫師鐞嗘槸涓鏍风殑锛屽崟鍗曟寚涓婇潰鎻愬埌鐨勯鏉ヨ锛屽洜涓哄畠鏄鏁帮紝鎸夌収甯哥悊鏉...
  • 涓涓潰鐨勯潰绉槸36骞虫柟绫崇殑姝f柟浣,瀹鎵鏈夋1闀跨殑鍜屾槸澶氬皯鍘樼背?
    绛旓細闈㈢Н鏄36骞虫柟绫筹紝閭d箞杈归暱涓6绫筹紝鎵鏈夋1闀涓12*6=72绫=7200鍘樼背
  • 鎬( 鈯 o 鈯 )鍟!!!璇氳鏁板楂樹汉甯繖鍐嶈缁嗚В璇翠竴閬撳嚑浣曟暟瀛﹂鐨勮В绛旇繃...
    绛旓細鍏舵ABCD鏄鏂瑰舰瀹冩槸鍥涗釜妫辩殑鎶曞奖锛岃岃繖涓鏂瑰舰鐨勫瑙掔嚎姝f槸DB闀垮害锛屾墍浠B灏卞彲姹傚緱绛旀鍊笺備篃鏄悇涓妫辩殑闀垮害銆備綘鑻ョ湅鎳備簡涓婇潰鐨勪綋浣嶆弿鍐欙紝閭d箞灏卞彲浠ョ悊瑙g幇鍦ㄨ姹傜殑灏辨槸浣犱粠姝i潰鐪嬪埌鐨勯《鐐瑰湪涓嬪簳杈瑰湪涓婂悜鍐呭炬枩涓夎闈⑩柍DAB鐨勬姇褰变笁瑙掗潰鈻矰OB鐨勯潰绉傚湪鈻矰AC鎴栤柍BAC涓敱B鐐规垨D鐐瑰悜搴曡竟AC鍋氬瀭绾匡紝...
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