《九章算术》—方程 《九章算术》方程问题：“五只雀、六只燕，共重1斤（等于16两...
\u5728\u300a\u4e5d\u7ae0\u7b97\u672f\u300b\u7684\u201c\u65b9\u7a0b\u201d\u4e00\u7ae0\u91cc\uff0c\u4e00\u6b21\u65b9\u7a0b\u7ec4\u662f\u7531\u7b97\u7b79\u5e03\u7f6e\u800c\u6210\u7684\uff0c\u5982\u56fe1\uff0c\u56fe2\uff0c\u56fe\u4e2d\u5404\u884c\u4ece\u5de6\u5230\u53f3\u5217\u51fa\u7684\u7b97\uff081\uff09\u6839\u636e\u56fe1\u6240\u793a\u7684\u7b97\u7b79\u7684\u8868\u793a\u65b9\u6cd5\uff0c\u53ef\u63a8\u51fa\u56fe2\u6240\u793a\u7684\u7b97\u7b79\u7684\u8868\u793a\u7684\u65b9\u7a0b\u7ec4\uff1a2x+y\uff1d114x+3y\uff1d27\uff1b\uff082\uff09\u2460\u00d72-\u2461\u5f97\uff0c-y=-5\uff0c\u5373y=5\uff0c\u628ay=5\u4ee3\u5165\u2461\u5f97\uff0c4x+3\u00d75=27\uff0cx=3\uff0e\u6240\u4ee5\u65b9\u7a0b\u7ec4\u7684\u89e3\u4e3a\uff1ax\uff1d3y\uff1d5\uff0e
5y+6x=16\u2460\uff0c
4y+x=8\u2461
5x+y=8\u2462
\u81ea\u5df1\u89e3
绛旓細鍙や唬瑙鏂圭▼缁勬椂锛屼篃鏄敤绠楃鍋氳绠楀伐鍏凤紝鍏蜂綋瑙ｆ硶鐩稿綋浜庢垜浠幇鍦ㄥ鐨勫姞鍑忔秷鍏冩硶. 鍦ㄤ唬鏁扮涓鍐(涓)鐨勬暀绉戜功涓紝鎴戜滑鏇句粙缁嶈繃涓浗鍙や唬寰堟棭灏变娇鐢ㄤ簡璐熸暟锛岃岃礋鏁板嚭鐜扮殑涓涓吀鍨嬪疄渚嬪氨鏄湪銆婁節绔犵畻鏈鐨勨滄柟绋嬧濈珷涓.鍦ㄥ垪鏂圭▼缁勬椂锛屾槑纭寚鍑猴紝鈥滃崠鈥濇槸姝ｏ紝鈥滀拱鈥濇槸璐燂紱鈥...
绛旓細鏂圭▼鐨勫彂鏄庤呮槸娉曞浗鏁板瀹堕煢杈俱傞煢杈1540骞寸敓浜庢硶鍥界殑鏅摝鍥撅紙Poitou锛夛紝浠婃椇浠ｇ渷鐨勪赴鐗瑰 -鍕掑瓟鐗(Fontenay.-le-Comte)銆1603骞12鏈13鏃ュ崚浜庡反榛庛傚勾杞绘椂瀛︿範娉曞緥骞跺綋杩囧緥甯堛傚悗浠庝簨鏀挎不娲诲姩锛屽綋杩囪浼氱殑璁憳銆傚湪瀵硅タ鐝墮鐨勬垬浜変腑锛屾浘涓烘斂搴滅牬璇戞晫鍐涚殑瀵嗙爜銆傞煢杈捐繕鑷村姏浜庢暟瀛︾爺绌讹紝绗竴涓湁鎰忚瘑鍦板拰...
绛旓細瑙ｏ細璁綳澶╁悗涔欎粨搴撳叏閮ㄨ繍瀹岋紝鐢蹭粨搴撹繕鏈80鍚 40X+80=2脳30X 40X+80=60X 40X-60X=-80 -20X=-80 X=4 40X4+80=240 30X4=120 绛旓細鐢蹭粨鍘熸湁绮240鍚紝涔欎粨鍘熸湁绮120鍚ㄣ1.銆婁節绔犵畻鏈涓氨鏈夋湁寰堝绫讳技鍚嶉锛屼互鍕捐偂瀹氱悊涓轰緥锛岀幇鍒椾妇鍑犻亾濡備笅锛氬紩钁荡宀 鍘熸枃锛氣滀粖鏈夋睜鏂逛竴涓堬紝...
绛旓細鍒╃敤鍕捐偂瀹氱悊锛岃鎶樻柇鍚庣瀛愰珮x锛岄偅涔堬紝鐩磋鐨勬枩杈瑰氨鏄10-x锛屽埄鐢ㄥ嬀鑲″畾鐞嗭細锛10-x锛夌殑骞虫柟=x鐨勫钩鏂+4鐨勫钩鏂广傚彲浠ユ眰鍑猴細鎶樻柇鍚庣瀛愰珮鏄4.2灏恒
绛旓細銆婁節绔犵畻鏈鍏ㄤ功鏀舵湁246涓暟瀛﹂棶棰橈紝鍒嗕负涔濆ぇ绫伙紝灏辨槸鈥滀節绔犫濄傜涓绔犫滄柟鐢扳濓紝涓昏璁插悇绉嶇敯浜╅潰绉殑绠楁硶锛涚浜岀珷鈥滅矡绫斥濓紝涓昏璁插悇绉嶈胺鐗╂寜姣斾緥浜ゆ崲鐨勭畻娉曪紱绗笁绔犫滆“鍒嗏濓紝涓昏璁叉寜绛夌骇鎴栨瘮渚嬭繘琛屽垎閰嶇殑绠楁硶锛涚鍥涚珷鈥滃皯骞库濓紝涓昏璁插凡鐭ラ潰绉拰浣撶Н鍙嶆眰瀹冧竴杈圭殑绠楁硶锛涚浜旂珷鈥滃晢鍔熲濓紝涓昏璁...
绛旓細璁剧緤 鐘 楦 鍏斿崟浠峰垎鍒负a b c d,鍒欐湁锛5a+4b+3c+2d=1496 鈶 4a+2b+6c+3d=1175 鈶 3a+ b+7c+5d=958 鈶 2a+3b+5c+ d=861 鈶 鑱旂珛杩4涓鏂圭▼ 瑙ｅ緱a=177 b=121 c=23 d=29
绛旓細鏃舵槸鐢ㄧ畻绛规潵杩涜璁＄畻鐨勶紝鎵浠ュ湪绠楃涓紝鐩稿簲鍦拌瀹氫互绾㈢涓烘锛岄粦绛逛负璐燂紱鎴栧皢绠楃鐩村垪 浣滄锛屾枩缃綔璐熴傝繖鏍凤紝閬囧埌鍏锋湁鐩稿弽鎰忎箟鐨勯噺锛屽氨鑳界敤姝ｈ礋鏁版槑纭湴鍖哄埆浜嗐傚湪銆婁節绔犵畻鏈涓紝闄や簡寮曡繘姝ｈ礋鏁扮殑姒傚康澶栵紝杩樺畬鏁村湴璁拌浇浜嗘璐熸暟鐨勮繍绠楁硶鍒欙紝瀹為檯涓婃槸 姝ｈ礋鏁板姞鍑忔硶鐨勮繍绠楁硶鍒欙紝涔熷氨鏄功涓В鏂圭▼...
绛旓細鏈洶:濡鏂圭▼,缃笂绂惧叚绉夋,涓嬬涓鍗佺璐,鎹熷疄涓鏂楀叓鍗囨銆傛缃笂绂句簲绉夎礋,涓嬬涓鍗佷簲绉夋,鎹熷疄浜斿崌姝ｃ備互姝ｈ礋鏈汉涔嬨傛槸杩欎釜鍚? 甯﹂搩閾涚殑鐚挭 | 鍙戝竷浜2012-11-12 涓炬姤| 璇勮 0 0 銆婁節绔犵畻鏈绗竴绔犱腑,瀵瑰渾鐨勯潰绉绠楁湁杩欐牱鐨勮杞:鍗婂懆鍗婂緞鐩镐箻寰楃Н姝ャ 836842620 | 鍙戝竷浜2010-12-12 ...
绛旓細绗叓绔犫鏂圭▼鈥濓細涓娆℃柟绋嬬粍闂锛涚涔濈珷鈥滃嬀鑲♀濓細鍒╃敤鍕捐偂瀹氱悊姹傝В鐨勫悇绉嶉棶棰橈紟 [缂栬緫鏈]銆婁節绔犵畻鏈鐨勬暟瀛︽垚灏便婁節绔犵畻鏈嬩腑鐨勬暟瀛︽垚灏辨槸澶氭柟闈㈢殑锛(1)銆佸湪绠楁湳鏂归潰鐨勪富瑕佹垚灏辨湁鍒嗘暟杩愮畻銆佹瘮渚嬮棶棰樺拰鈥滅泩涓嶈冻鈥濈畻娉.銆婁節绔犵畻鏈嬫槸涓栫晫涓婃渶鏃╃郴缁熷彊杩颁簡鍒嗘暟杩愮畻鐨勮憲浣,鍦ㄧ浜屻佷笁銆佸叚绔犱腑鏈...
绛旓細銆婁節绔犵畻鏈鍏辨敹鏈246涓暟瀛﹂棶棰橈紝鍒嗕负涔濆ぇ绫伙紝鍦ㄤ竴涓垨鍑犱釜闂涔嬪悗锛屽垪鍑鸿繖涓棶棰樼殑瑙ｆ硶銆1.鏂圭敯锛氫富瑕佹槸鐢颁憨闈㈢Н鐨勮绠楀拰鍒嗘暟鐨勮绠楋紝鏄笘鐣屼笂鏈鏃╁鍒嗘暟杩涜绯荤粺鍙欒堪鐨勮憲浣溿2.绮熺背锛氫富瑕佹槸绮浜ゆ槗鐨勮绠楁柟娉曪紝鍏朵腑娑夊強璁稿姣斾緥闂銆3.琛板垎锛氫富瑕佸唴瀹逛负鍒嗛厤姣斾緥鐨勭畻娉曘4.灏戝箍锛氫富瑕佽寮骞虫柟鍜屽紑...
