1.瀹忚瑾�(di脿o)鎺х殑蹇呰鎬�

甯傚牬缍�(j墨ng)婵�(j矛)鍚屾ǎ瀛樺湪涓€瀹氱▼搴︾殑缂洪櫡锛屼富瑕佽〃鐝�(xi脿n)鐐猴細灏嶆湭渚嗕緵姹傞棞(gu膩n)绯荤殑骞宠　鍏锋湁杓冨ぇ鐨勭洸鐩€�锛涗笉鑳借嚜鍕曞紩灏�(d菐o)鏁村€嬪湅姘戠稉(j墨ng)婵�(j矛)鐨勫畯瑙€骞宠　锛涗笉鑳戒繚璀夋敹鍏ュ垎閰嶇殑鍏钩鍚堢悊銆傞嚌灏嶄笂杩扮己闄�锛屽湅瀹跺繀闋堝緸绺介珨涓婂皪鍦嬫皯缍�(j墨ng)婵�(j矛)閬�(y霉n)琛岄€�(j矛n)琛岃(di脿o)鎺�锛屽畯瑙€瑾�(di脿o)鎺у(sh铆)璩�(zh矛)涓婃槸鏀垮簻瑾�(di脿o)绡€(ji茅)锛屽畯瑙€瑾�(di脿o)鎺ф槸绀炬渻鍖栧ぇ鐢熺敘(ch菐n)鐨勯渶瑕�锛屽彧鏈夐噰鍙栨湁鏁堢殑瀹忚绠＄悊鍜岃(di脿o)鎺�锛屾墠鑳藉悎鐞嗗埄鐢ㄥ拰鍒嗛厤璩囨簮锛屾墠鑳芥壙鎿�(d膩n)甯傚牬姗�(j墨)鍒剁劇娉曞畬鎴愮殑璜稿鏀跺叆鍒嗛厤銆佺挵(hu谩n)澧冧繚璀�(h霉)銆佺ぞ鏈冨叕鍏辩敘(ch菐n)鍝�(閱�(y墨)鐧傘€佹暀鑲茬瓑)绛夎伔鑳�銆傚洜姝�锛屽厖鍒嗙櫦(f膩)鎻競鍫存(j墨)鍒剁殑浣滅敤鍜屽姞寮�(qi谩ng)瀹忚瑾�(di脿o)鎺ф槸鐝�(xi脿n)浠ｇ稉(j墨ng)婵�(j矛)鐨勫熀鏈姹傚拰鐗瑰緛锛屽叐鑰呯己涓€涓嶅彲銆�(1)鍦嬪瑾�(di脿o)鎺ф槸绀炬渻鍖栧ぇ鐢熺敘(ch菐n)鐧�(f膩)灞曠殑瀹㈣瑕佹眰锛�(2)鍦嬪瑾�(di脿o)鎺ф槸褰岃(b菙)甯傚牬瑾�(di脿o)绡€(ji茅)缂洪櫡鐨勯渶瑕侊紱(3)鍦嬪瑾�(di脿o)鎺ф槸鍦嬪缍�(j墨ng)婵�(j矛)鑱疯兘鐨勫叿楂旈珨鐝�(xi脿n)銆�

2.閫氳波鑶ㄨ劰

閫氳波鑶ㄨ劰锛氭寚娴侀€氫腑鐨勮波骞ｉ噺(绱欏梗)瓒呴亷浜嗗晢鍝佹祦閫氭墍瀵�(sh铆)闅涢渶瑕佺殑璨ㄥ梗閲忚€屽紩璧风殑绱欏梗璨跺€�銆佸晢鍝佸拰鏈嶅嫏(w霉)鐨勮波骞ｅ児(ji脿)鏍肩附姘村钩鐨勬寔绾�(x霉)涓婃疾缍�(j墨ng)婵�(j矛)鐝�(xi脿n)璞�銆傞€氳波鑶ㄨ劰鍦ㄤ竴瀹氭檪(sh铆)鏈熷収(n猫i)鍙互澧炲姞閮ㄥ垎闇€姹傦紝鍑虹従(xi脿n)缍�(j墨ng)婵�(j矛)鐨勮櫅鍋囩箒姒�锛屼絾閫氶亷澧炵櫦(f膩)璨ㄥ梗鎵€澧炲姞鐨勯渶姹�锛岀敱浜庢矑鏈夌浉鎳�(y墨ng)鐨勭ぞ鏈冭病(c谩i)瀵屼綔淇濊瓑锛屽苟涓嶈兘寰炴牴鏈笂瑙ｆ焙鐢熺敘(ch菐n)鍜屾湁鏀粯鑳藉姏闇€姹備箣闁撶殑鐭涚浘銆傚毚(y谩n)閲嶇殑閫氳波鑶ㄨ劰涓嶅儏鍗卞強缍�(j墨ng)婵�(j矛)鐨勬甯搁亱(y霉n)琛�锛岀敋鑷�?x铆)顠欘悪l(f膩)绀炬渻鍕曡暕銆傚紩璧烽€氳波鑶ㄨ劰鐨勫叿楂斿師鍥犱富瑕佹湁锛屾垚鏈帹鍕�銆侀渶姹傛媺鍕�銆佺祼(ji茅)妲�(g貌u)澶辫(di脿o)绛夊洜绱�銆傜祼(ji茅)妲�(g貌u)澶辫(di脿o)鏄寚鍥犵稉(j墨ng)婵�(j矛)绲�(ji茅)妲�(g貌u)鐧�(f膩)灞曞け琛¤€岄€犳垚鐨勪笉鑹稉(j墨ng)婵�(j矛)閬�(y霉n)琛岀祼(ji茅)鏋�銆備緥濡傦紝杈�(n贸ng)妤�(y猫)姝夋敹鎴栨笡鐢�(ch菐n)鏈冨皫(d菐o)鑷磋静(n贸ng)鐢�(ch菐n)鍝佸拰鐩搁棞(gu膩n)鍍�(ji脿)鏍肩殑涓婃疾锛屽苟甯跺嫊鍏朵粬宸ユキ(y猫)鐢�(ch菐n)鍝佷笂婕�銆傛澶�锛岀従(xi脿n)浠ｇ稉(j墨ng)婵�(j矛)绲�(ji茅)妲�(g貌u)浣跨敓鐢�(ch菐n)瑕佺礌鍥�?y脿n)姒уすg(sh霉)鐨勯杸妾婚珮鎴栨簴(zh菙n)鍏ユ浠惰嫑鍒荤瓑鍘熷洜锛屼笉鑳藉緸钀藉悗閮ㄩ杸銆佽“钀介儴闁€鍚戝厛閫�(j矛n)閮ㄩ杸杞�(zhu菐n)绉�锛屼絾閫欎簺閮ㄩ杸鍗诲湪宸ヨ硣銆佸児(ji脿)鏍兼柟闈㈠悜鍏堥€�(j矛n)閮ㄩ杸鐪嬮綂锛岀祼(ji茅)鏋滃氨鏈冨皫(d菐o)鑷翠竴鑸児(ji脿)鏍兼按骞充笂婕�銆�

3.绲曞皪鍓╀綑鍍�(ji脿)鍊肩敓鐢�(ch菐n)鍜岀浉灏嶅墿浣欏児(ji脿)鍊肩敓鐢�(ch菐n)

绲曞皪鍓╀綑鍍�(ji脿)鍊肩敓鐢�(ch菐n)锛氭槸鍦ㄧ敓鐢�(ch菐n)鎶€琛�(sh霉)姊濅欢涓嶈畩鍜屽伐浜哄繀瑕佸嫗鍕曟檪(sh铆)闁撲笉璁婄殑姊濅欢涓�锛岄€氶亷宸ヤ綔鏃ョ殑绲曞皪寤堕暦鑰岀敓鐢�(ch菐n)鐨勫墿浣欏児(ji脿)鍊笺€傜禃灏嶅墿浣欏児(ji脿)鍊肩殑鐢熺敘(ch菐n)妲�(g貌u)鎴愯硣鏈富缇╁墲鍓婄殑涓€鑸師鐞�?锛熷灕濞盠宸ヤ綔鏃ョ殑鏂规硶渚嗗鍔犵禃灏嶅墿浣欏児(ji脿)鍊肩殑鐢熺敘(ch菐n)鏄湁闄愬害鐨�锛屽嵆鐢熺悊?xi脿ng)l浠剁殑闄愬埗鍜岀ぞ鏈冮亾寰峰洜绱犵殑闄愬埗锛岃硣鏈鎯冲欢闀峰伐浜虹殑鍕炲嫊鏅�(sh铆)闁擄紝鑰屽伐浜虹偤淇濊(h霉)鑷繁鐨勫嫗鍕曡兘鍔涗笉鍙楁畼瀹冲拰鐮村锛岃姹傜董鎸佹甯哥殑鍕炲嫊鏅�(sh铆)闁擄紝鍥犳锛屽伐浣滄棩鐨勯暦鐭紝鍙栨焙浜庡伐浜洪殠绱氬拰璩囩敘(ch菐n)闅庣礆鏂楃埈鐨勭祼(ji茅)鏋�銆�

鐩稿皪鍓╀綑鍍�(ji脿)鍊肩敓鐢�(ch菐n)锛氭槸鍦ㄥ伐浣滄棩闀峰害涓嶈畩鐨勬浠朵笅锛岄€氶亷鎻愰珮鍕炲嫊鐢熺敘(ch菐n)鐜囩府鐭繀瑕佸嫗鍕�

鏅�(sh铆)闁�锛岀浉灏嶅欢闀峰墿浣欏嫗鍕曟檪(sh铆)闁撹€岀敓鐢�(ch菐n)鐨勫墿浣欏児(ji脿)鍊�銆傜浉灏嶅墿浣欏児(ji脿)鍊肩殑鐢熺敘(ch菐n)妲�(g貌u)鎴愪簡璩囨湰涓荤京鍓濆墛鏂瑰紡鐨勪竴鍊嬮噸瑕佺壒榛�(di菐n)銆�

瓒呴鍓╀綑鍍�(ji脿)鍊肩敘(ch菐n)鐢熶簬鍟嗗搧鐨勫€嬪垾鍍�(ji脿)鍊间綆浜庣ぞ鏈冨児(ji脿)鍊肩殑宸銆傜敱浜庡€嬪垾璩囨湰瀹堕鍏堥噰鐢ㄥ厛閫�(j矛n)鎶€琛�(sh霉)锛屾彁楂樺嫗鍕曠敓鐢�(ch菐n)鐜�锛屼娇鍟嗗搧鐨勫€嬪垾鍍�(ji脿)鍊间綆浜庣ぞ鏈冨児(ji脿)鍊硷紝浣嗕粛鎸夌ぞ鏈冨児(ji脿)鍊煎嚭鍞€屽彇寰楃殑鏇村鐨勫墿浣欏児(ji脿)鍊�銆傝秴椤嶅墿浣欏児(ji脿)鍊间篃鏄敱宸ヤ汉鐨勫嫗鍕曞壍(chu脿ng)閫犵殑銆傚€嬪垾浼佹キ(y猫)鎻愰珮鍕炲嫊鐢熺敘(ch菐n)鐜囩殑鐩存帴鐩殑鍜屽嫊鍔涙槸鐐轰簡鐛插緱瓒呴鍓╀綑鍍�(ji脿)鍊笺€備絾鎵€鏈変紒妤�(y猫)閫欐ǎ鍋氱殑绲�(ji茅)鏋�锛屼娇璩囨湰鏅亶鍦扮嵅寰椾簡鐩稿皪鍓╀綑鍍�(ji脿)鍊笺€傜浉灏嶅墿浣欏児(ji脿)鍊肩敓鐢�(ch菐n)鏄綔鐐哄悇鍊嬭硣鏈拷姹傝秴椤嶅墿浣欏児(ji脿)鍊肩殑绲�(ji茅)鏋滆€屽(sh铆)鐝�(xi脿n)鐨�銆�

4.绀炬渻绺借硣鏈啊鍠啀鐢熺敘(ch菐n)鐨勫(sh铆)鐝�(xi脿n)姊濅欢

绀炬渻绺借硣鏈啊鍠啀鐢熺敘(ch菐n)鎳�(y墨ng)鍏峰倷鐨勫(sh铆)鐝�(xi脿n)姊濅欢鏄細绗竴閮ㄩ鐨勫彲璁婅硣鏈児(ji脿)鍊煎拰鍓╀綑鍍�(ji脿)鍊间箣鍜屽繀闋堢瓑浜庣浜岄儴椤炵殑涓嶈畩璩囨湰鍍�(ji脿)鍊�銆傚嵆I(v+m)=II (c)銆�

鐢遍€欏€嬪熀鏈叕寮忓彲浠ュ紩鐢冲嚭鍙﹀叐鍊嬪(sh铆)鐝�(xi脿n)姊濅欢銆�

鍏朵竴鐐猴細I(c+v+m)=I(c)+II(c)銆傞€欏€嬫浠跺弽鏄犳暣鍊嬬ぞ鏈冪殑鐢熺敘(ch菐n)璩囨枡渚涚郸鍜岀ぞ鏈冨皪鐢熺敘(ch菐n)璩囨枡鐨勯渶姹備箣闁撶殑鍏�(n猫i)鍦ㄨ伅(li谩n)绯�銆�

鍏朵簩鐐猴細II(c+v+m)=I(v+m)+II(v+m)銆傞€欏€嬫浠跺弽鏄犳暣鍊嬬ぞ鏈冪殑娑堣不(f猫i)璩囨枡鐨勪緵绲﹀拰绀炬渻灏嶆秷璨�(f猫i)璩囨枡鐨勯渶姹備箣闁撶殑鍏�(n猫i)鍦ㄨ伅(li谩n)绯�銆�

5.绀炬渻绺借硣鏈摯(ku貌)澶у啀鐢熺敘(ch菐n)鐨勫墠鎻愭浠跺拰瀵�(sh铆)鐝�(xi脿n)姊濅欢

I(c+v+m)>I(c )+II(c )鎴朓(v+m)>II(c )

II(c+v+m)>I(v+m/x)+II(v+m/x)

鍓嶆彁鏄€滃叐鍊嬪浣欌€�

绀炬渻绺借硣鏈摯(ku貌)澶у啀鐢熺敘(ch菐n)鐨勫熀鏈(sh铆)鐝�(xi脿n)姊濅欢(鍗�(xi茅)瑾�(di脿o)鐧�(f膩)灞�)鐢ㄥ叕寮忓彲浠ヨ〃绀虹偤锛�

I(v+鈻硋+m/x)==II(c+鈻砪)

鐢遍€欏€嬪熀鏈叕寮忓彲浠ュ紩鐢冲嚭鍏╁€嬪熀鏈叕寮忥細

(1)I(c+v+m)==I(c+鈻砪)+II(c+鈻砪)

(2)II(c+v+m)== I(v+鈻硋+m/x)+II(v+鈻硋+m/x)

6.鍓╀綑鍍�(ji脿)鍊肩巼锛涘勾鍓╀綑鍍�(ji脿)鍊肩巼銆佸埄娼ょ巼銆佸钩鍧囧埄娼ょ巼

浠ヤ笂鍥涘€嬪叕寮忓鏄撲互瑷�(j矛)绠楅鐨勫舰寮忚€冩牳(鍠伕椤�)

7.鎴戝湅鐝�(xi脿n)瀛樼殑澶辨キ(y猫)鍟忛

鍘熷洜锛�(1)浜哄彛绺介噺閬庡ぇ锛岀敓鐢�(ch菐n)鍔涗笉鐧�(f膩)閬�(d谩)锛�

(2)鏄櫦(f膩)灞曢亷绋嬩腑鐨勫氨妤�(y猫)鍜屽け妤�(y猫)鍟忛锛�

(3)宸ユキ(y猫)鐨勭櫦(f膩)灞曚腑浼撮毃钁楃鎶€閫�(j矛n)姝�锛屽繀鐒跺皫(d菐o)鑷村劒(y艒u)鍕濆姡姹帮紱

(4)鏄敱鏀归潻寮曡捣鐨�锛岀敱浜庡競鍫寸稉(j墨ng)婵�(j矛)杩芥眰鍒╂饯鏈€澶у寲锛屽氨瑕佹妸瀵屼綑浜哄摗鍓濋洟鍑轰締锛涘悓鏅�(sh铆)甯傚牬绔剁埈涓�锛屼紒妤�(y猫)鐨勫€掗枆鐮寸敘(ch菐n)涔熸渻褰遍熆宸ヤ汉灏辨キ(y猫)銆�

瑙ｆ焙澶辨キ(y猫)鍟忛鐨勬牴鏈€斿緫锛�

(1)鍫�(ji膩n)鎸佺櫦(f膩)灞曠稉(j墨ng)婵�(j矛)鐨勬€濊矾锛岄€欐槸瑙ｆ焙澶辨キ(y猫)鍟忛鐨勬渶鏍规湰閫斿緫锛�

(2)鏀垮簻瑕佸(sh铆)鏂藉悇绋湁鍒╀簬灏辨キ(y猫)鐨�鏀跨瓥锛屽厖鍒�?j菒n)U澶у氨妤�(y猫)锛屽氨妤�(y猫)鏄皯鐢熶箣鏈�锛�

(3)瑾�(di脿o)鏁寸敘(ch菐n)妤�(y猫)绲�(ji茅)妲�(g貌u)锛屽ぇ鍔涚櫦(f膩)灞曠涓夌敘(ch菐n)妤�(y猫)锛涙帶鍒朵汉鍙ｅ闀�銆�

(4)鐧�(f膩)灞曞绋墍鏈夊埗缍�(j墨ng)婵�(j矛)锛涘弽灏嶅氨妤�(y猫)姝ц銆�

8.鑲′唤鍒�

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9.璩囨湰涓荤京鍦嬪缍�(j墨ng)婵�(j矛)瑾�(di脿o)绡€(ji茅)

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