姝¤繋瑷晱鑰冪爺绉樼睄鑰冪爺缍�(w菐ng)!    鐮旂┒鐢熸嫑鐢熶俊鎭恫(w菐ng)    鑰冨崥鐪熼涓嬭級    鑰冪爺鐪熼涓嬭級    鍏ㄧ珯鏂囩珷绱㈠紩
鏂囩珷鎼滅储
   
  楂樼礆(j铆)鎼滅储   

 鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 鑰冪爺绉樼睄鑰冪爺缍�(w菐ng) >> 鏂囩珷涓績 >> 灏堟キ(y猫)瑾� >> 姝f枃  2017骞磋彲涓鎶€澶у(xu茅)602鏁�(sh霉)瀛�(xu茅)(鍚珮绛夋暩(sh霉)瀛�(xu茅)銆佺窔鎬т唬鏁�(sh霉))鑰冪爺澶х侗

鏂拌仦璩囪▕
鏅€氭枃绔� 涓婃捣甯�50瀹跺柈浣嶇恫(w菐ng)涓婃帴鍙楀挩瑭㈠拰鍫�(b脿o)鍚�
鏅€氭枃绔� 鍖椾含澶у(xu茅)鐢�“灏辨キ(y猫)涔嬪”鐮旂┒鐢熷皥鍫�(ch菐ng)鎷涜仒鍫�(ch菐ng)闈㈢伀鐖�
鏅€氭枃绔� 寤堝ぇ濂崇爺绌剁敓琚妗堢祩瀵╁垽姹� 鍏囨墜琚垽姝诲垜
鏅€氭枃绔� 寤f澅鍏牎缍�(w菐ng)涓婅│榛�(di菐n)鑰冪爺鍫�(b脿o)鍚嶅皣闁嬪
鏅€氭枃绔� 2004骞寸ⅸ澹寳浜嫑鐢熷柈浣嶅牨(b脿o)鍚嶉粸(di菐n)涓€瑕�
鏅€氭枃绔� 娲涢櫧(y谩ng)楂樻柊鍗€(q奴)21鍚嶇ⅸ澹爺绌剁敓琚仒鐐轰腑灞ら牁(l菒ng)灏�(d菐o)
鏅€氭枃绔� 娴欐睙鐪佺ⅸ澹爺绌剁敓鍫�(b脿o)鍚嶅緸涓嬪懆涓€闁嬪
鏅€氭枃绔� 2004骞翠笂娴疯€冨崁(q奴)缍�(w菐ng)涓婂牨(b脿o)鍚嶆檪(sh铆)闁撳畨鎺掕〃
鏅€氭枃绔� 寤f澅锛氱爺绌剁敓鍏ュ(xu茅)鑰冭│2003骞磋捣閲嶅ぇ瑾�(di脿o)鏁�
鏅€氭枃绔� 2004骞村叏鍦�(gu贸)鐮旀嫑涓�?锛熺礀^(q奴)鍫�(b脿o)鍚嶉粸(di菐n)涓€瑕借〃
瑾�(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 瀵у澶у(xu茅)04骞寸ⅸ澹爺绌剁敓瑾�(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 澶ч€i惖閬撳(xu茅)闄�04骞寸ⅸ澹帴鏀惰(di脿o)鍔戠敓婧愬熀鏈師鍓�
鏅€氭枃绔� 鍚夋灄澶у(xu茅)寤鸿ō(sh猫)宸ョ▼瀛�(xu茅)闄�04骞寸爺绌剁敓瑾�(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 婧窞甯寖瀛�(xu茅)闄�(婧窞澶у(xu茅)绫�)05鐮旂┒鐢熻(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 浣虫湪鏂ぇ瀛�(xu茅)04骞磋€冪爺瑾�(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 娌堥櫧(y谩ng)寤虹瓚宸ョ▼瀛�(xu茅)闄�04骞寸爺绌剁敓瑾�(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 澶╂触甯寖澶у(xu茅)鏀挎不鑸囪鏀垮(xu茅)闄�05骞寸ⅸ澹(di脿o)鍔戦渶姹�
鏅€氭枃绔� 绗簩蹇楁効鑰冪爺瑾�(di脿o)鍔戠▼搴忕瓟鐤�
鏅€氭枃绔� 涓婃捣澶у(xu茅)04骞寸爺绌剁敓鎷涙敹绲�(t菕ng)鑰冪敓瑾�(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 寤hタ澶у(xu茅)04骞寸ⅸ澹爺绌剁敓瑾�(di脿o)鍔戜俊鎭�

鍙嬫儏鎻愮ず锛氭湰绔欐彁渚涘叏鍦�(gu贸)400澶氭墍楂樼瓑闄㈡牎鎷涙敹纰╁+銆佸崥澹爺绌剁敓鍏ュ(xu茅)鑰冭│姝峰勾鑰冪爺鐪熼銆佽€冨崥鐪熼銆佺瓟妗堬紝閮ㄥ垎瀛�(xu茅)鏍℃洿鏂拌嚦2012骞�锛�2013骞�锛涘潎鎻愪緵鏀惰不(f猫i)涓嬭級銆� 涓嬭級娴佺▼锛� 鑰冪爺鐪熼 榛�(di菐n)鎿娾€�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛�(di菐n)鎿娾€�鑰冨崥瑭﹀嵎搴�(k霉)鈥� 涓嬭級 

鑿腑绉戞妧澶у(xu茅)纰╁+鐮旂┒鐢熷叆瀛�(xu茅)鑰冭│銆婃暩(sh霉)瀛�(xu茅)銆�(鍚珮绛夋暩(sh霉)瀛�(xu茅)銆佺窔鎬т唬鏁�(sh霉))
鑰冭│澶х侗
绉戠洰浠g⒓锛�602锛�
涓€銆佸嚱鏁�(sh霉)銆佹サ闄�銆侀€g簩(x霉)
鑰冭│鍏�(n猫i)瀹�
鍑芥暩(sh霉)鐨勬蹇靛強琛ㄧず娉� 鍑芥暩(sh霉)鐨勬湁鐣屾€�銆佸柈瑾�(di脿o)鎬�銆佸懆鏈熸€у拰濂囧伓鎬� 寰�(f霉)鍚堝嚱
鏁�(sh霉)銆佸弽鍑芥暩(sh霉)銆佸垎娈靛嚱鏁�(sh霉)鍜岄毐鍑芥暩(sh霉) 鍩烘湰鍒濈瓑鍑芥暩(sh霉)鐨勬€ц唱(zh矛)鍙婂叾鍦栧舰 鍒濈瓑鍑芥暩(sh霉) 绨�(ji菐n)
鍠噳(y墨ng)鐢ㄥ晱椤岀殑鍑芥暩(sh霉)闂�(gu膩n)绯荤殑寤虹珛銆�
鏁�(sh霉)鍒楁サ闄愯垏鍑芥暩(sh霉)妤甸檺鐨勫畾缇╀互鍙婂畠鍊戠殑鎬ц唱(zh矛) 鍑芥暩(sh霉)鐨勫乏妤甸檺鑸囧彸妤甸檺 鐒$
灏忓拰鐒$澶х殑姒傚康鍙婂叾闂�(gu膩n)绯� 鐒$灏忕殑鎬ц唱(zh矛)鍙婄劇绐皬鐨勬瘮杓� 妤甸檺鐨勫洓鍓囬亱(y霉n)绠�
妤甸檺瀛樺湪鐨勫叐鍊�(g猫)婧�(zh菙n)鍓囷細?ji菐n)鎻(di脿o)鏈夌晫婧�(zh菙n)鍓囧拰澶鹃€兼簴(zh菙n)鍓� 鍏╁€�(g猫)閲嶈妤甸檺锛�
e
xx
x
x
xx
??
?
?
?
?
?
??
???
1
1lim,1
sin
lim
0
鍑芥暩(sh霉)閫g簩(x霉)鐨勬蹇� 鍑芥暩(sh霉)闁撴柗榛�(di菐n)鐨勯鍨� 鍒濈瓑鍑芥暩(sh霉)鐨勯€g簩(x霉)鎬� 闁夊崁(q奴)闁撲笂閫g簩(x霉)
鍑芥暩(sh霉)鐨勬€ц唱(zh矛)(鏈夌晫鎬�銆佹渶澶у€煎拰鏈€灏忓€煎畾鐞�銆佷粙鍊煎畾鐞�)
鑰冭│瑕佹眰
1锛庣悊瑙e嚱鏁�(sh霉)鐨勬蹇�锛屾帉鎻″嚱鏁�(sh霉)鐨勮〃绀烘柟娉曘€�
2锛庝簡瑙e嚱鏁�(sh霉)鐨勫鍋舵€�銆佸柈瑾�(di脿o)鎬�銆佸懆鏈熸€у拰鏈夌晫鎬�銆�
3锛庣悊瑙e京(f霉)鍚堝嚱鏁�(sh霉)鍙婂垎娈靛嚱鏁�(sh霉)鐨勬蹇�锛屼簡瑙e弽鍑芥暩(sh霉)鍙婇毐鍑芥暩(sh霉)鐨勬蹇�銆�
4锛庢帉鎻″熀鏈垵绛夊嚱鏁�(sh霉)鐨勬€ц唱(zh矛)鍙婂叾鍦栧舰銆�
5锛庢渻(hu矛)寤虹珛绨�(ji菐n)鍠噳(y墨ng)鐢ㄥ晱椤屼腑鐨勫嚱鏁�(sh霉)闂�(gu膩n)绯诲紡銆�
6锛庣悊瑙fサ闄愮殑姒傚康锛岀悊瑙e嚱鏁�(sh霉)鐨勫乏妤甸檺鑸囧彸妤甸檺鐨勬蹇�锛屼互鍙婃サ闄愬瓨鍦ㄨ垏
宸︺€佸彸妤甸檺涔嬮枔鐨勯棞(gu膩n)绯�銆�
7锛庢帉鎻℃サ闄愮殑鎬ц唱(zh矛)鍙婂洓鍓囬亱(y霉n)绠楁硶鍓囥€�
8锛庢帉鎻℃サ闄愬瓨鍦ㄧ殑鍏╁€�(g猫)婧�(zh菙n)鍓�锛屽苟鏈�(hu矛)鍒╃敤瀹冨€戞眰妤甸檺锛屾帉鎻″埄鐢ㄥ叐鍊�(g猫)閲嶈妤�
闄愭眰妤甸檺鐨勬柟娉曘€�
9锛庣悊瑙g劇绐皬銆佺劇绐ぇ鐨勬蹇�锛屾帉鎻$劇绐皬鐨勬瘮杓冩柟娉曪紝鏈�(hu矛)鐢ㄧ瓑鍍�(ji脿)鐒$灏�
姹傛サ闄�銆�
10锛庣悊瑙e嚱鏁�(sh霉)鐨勯€g簩(x霉)鎬х殑姒傚康(鍚乏閫g簩(x霉)鑸囧彸閫g簩(x霉))锛屾渻(hu矛)鍒ゅ垾鍑芥暩(sh霉)闁撴柗榛�(di菐n)鐨�
椤炲瀷銆�
11锛庝簡瑙i€g簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)鍜屽垵绛夊嚱鏁�(sh霉)鐨勯€g簩(x霉)鎬�锛屼簡瑙i枆鍗€(q奴)闁撲笂閫g簩(x霉)鍑芥暩(sh霉)鐨�
鎬ц唱(zh矛)(鏈夌晫鎬�銆佹渶澶у€煎拰鏈€灏忓€煎畾鐞�銆佷粙鍊煎畾鐞�)锛屽苟鏈�(hu矛)鎳�(y墨ng)鐢ㄩ€欎簺鎬ц唱(zh矛)銆�
浜�銆佷竴鍏冨嚱鏁�(sh霉)寰垎瀛�(xu茅)鑰冭│鍏�(n猫i)瀹�
鑰冭│鍏�(n猫i)瀹�
灏�(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑姒傚康 灏�(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇╁拰鐗╃悊鎰忕京 鍑芥暩(sh霉)鐨勫彲灏�(d菐o)鎬ц垏閫g簩(x霉)鎬�
涔嬮枔鐨勯棞(gu膩n)绯� 骞抽潰鏇茬窔鐨勫垏绶氬拰娉曠窔 鍩烘湰鍒濈瓑鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉) 灏�(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑鍥�
鍓囬亱(y霉n)绠� 寰�(f霉)鍚堝嚱鏁�(sh霉)銆佸弽鍑芥暩(sh霉)銆侀毐鍑芥暩(sh霉)浠ュ強鍙冩暩(sh霉)鏂圭▼鎵€纰哄畾鐨勫嚱鏁�(sh霉)鐨勫井鍒嗘硶 楂�
闅庡皫(d菐o)鏁�(sh霉)鐨勬蹇� 绨�(ji菐n)鍠嚱鏁�(sh霉)鐨� n 闅庡皫(d菐o)鏁�(sh霉) 寰垎鍦ㄨ繎浼艰▓(j矛)绠椾腑鐨勬噳(y墨ng)鐢� 缇呯埦(Rolle)
瀹氱悊 鎷夋牸鏈楁棩(Lagrange)涓€煎畾鐞� 鏌タ(Cauchy)涓€煎畾鐞� 娉板嫆(Taylor)
瀹氱悊 娲涘繀閬�(d谩)(L鈥橦ospital)娉曞墖 鍑芥暩(sh霉)鐨勬サ鍊煎強鍏舵眰娉� 鍑芥暩(sh霉)鍠(di脿o)鎬� 鍑芥暩(sh霉)鍦�
褰㈢殑鍑瑰嚫鎬с€佹嫄榛�(di菐n)鍙婃几杩戠窔 鍑芥暩(sh霉)鍦栧舰鐨勬弿绻� 鍑芥暩(sh霉)鏈€澶у€煎拰鏈€灏忓€肩殑姹傛硶鍙�
绨�(ji菐n)鍠噳(y墨ng)鐢� 寮у井鍒� 鏇茬巼鐨勬蹇� 鍏╂洸绶氱殑浜よ銆�
鑰冭│瑕佹眰
1锛庣悊瑙e皫(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑姒傚康锛岀悊瑙e皫(d菐o)鏁�(sh霉)鑸囧井鍒嗙殑闂�(gu膩n)绯伙紝鐞嗚В灏�(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇�锛�
鏈�(hu矛)姹傚钩闈㈡洸绶氱殑鍒囩窔鏂圭▼鍜屾硶绶氭柟绋嬶紝浜嗚В灏�(d菐o)鏁�(sh霉)鐨勭墿鐞嗘剰缇�锛屾渻(hu矛)鐢ㄥ皫(d菐o)鏁�(sh霉)鎻忚堪涓€
浜涚墿鐞嗛噺锛岀悊瑙e嚱鏁�(sh霉)鐨勫彲灏�(d菐o)鎬ц垏閫g簩(x霉)鎬т箣闁撶殑闂�(gu膩n)绯�銆�
2锛庢帉鎻″皫(d菐o)鏁�(sh霉)鐨勫洓鍓囬亱(y霉n)绠楁硶鍓囧拰寰�(f霉)鍚堝嚱鏁�(sh霉)鐨勬眰灏�(d菐o)娉曞墖锛屾帉鎻″熀鏈垵绛夊嚱鏁�(sh霉)鐨�
灏�(d菐o)鏁�(sh霉)鍏紡銆備簡瑙e井鍒嗙殑鍥涘墖閬�(y霉n)绠楁硶鍓囧拰涓€闅庡井鍒嗗舰寮忕殑涓嶈畩鎬�锛屾渻(hu矛)姹傚嚱鏁�(sh霉)鐨勫井
鍒�锛屼簡瑙e井鍒嗗湪杩戜技瑷�(j矛)绠椾腑鐨勬噳(y墨ng)鐢�銆�
3锛庝簡瑙i珮闅庡皫(d菐o)鏁�(sh霉)鐨勬蹇碉紝鏈�(hu矛)姹傜啊(ji菐n)鍠嚱鏁�(sh霉)鐨� n 闅庡皫(d菐o)鏁�(sh霉)銆�
4锛庢渻(hu矛)姹傚垎娈靛嚱鏁�(sh霉)鐨勪竴闅庛€佷簩闅庡皫(d菐o)鏁�(sh霉)銆�
5锛庢渻(hu矛)姹傞毐鍑芥暩(sh霉)鍜岀敱鍙冩暩(sh霉)鏂圭▼鎵€纰哄畾鐨勫嚱鏁�(sh霉)鐨勪竴闅�銆佷簩闅庡皫(d菐o)鏁�(sh霉)锛屾渻(hu矛)姹傚弽鍑芥暩(sh霉)
鐨勪竴闅�銆佷簩闅庡皫(d菐o)鏁�(sh霉)銆�
6锛庣悊瑙e苟鏈�(hu矛)鐢ㄧ緟鐖惧畾鐞�銆佹媺鏍兼湕鏃ヤ腑鍊煎畾鐞嗗拰娉板嫆瀹氱悊銆�
7锛庝簡瑙e苟鏈�(hu矛)鐢ㄦ煰瑗夸腑鍊煎畾鐞�銆�
8锛庣悊瑙e嚱鏁�(sh霉)鐨勬サ鍊兼蹇�锛屾帉鎻$敤灏�(d菐o)鏁�(sh霉)鍒ゆ柗鍑芥暩(sh霉)鐨勫柈瑾�(di脿o)鎬у拰姹傚嚱鏁�(sh霉)妤靛€兼柟娉�锛�
鎺屾彙鍑芥暩(sh霉)鏈€澶у€煎拰鏈€灏忓€肩殑姹傛硶鍙婂叾绨�(ji菐n)鍠噳(y墨ng)鐢ㄣ€�
9锛庢渻(hu矛)鐢ㄥ皫(d菐o)鏁�(sh霉)鍒ゆ柗鍑芥暩(sh霉)鍦栧舰鐨勫嚬鍑告€у拰鎷愰粸(di菐n)锛屾渻(hu矛)姹傚嚱鏁�(sh霉)鍦栧舰鐨勬按骞炽€侀墰鐩村拰
鏂滄几杩戠窔锛屾渻(hu矛)鎻忕躬鍑芥暩(sh霉)鐨勫湒褰€€�
10锛庢帉鎻$敤娲涘繀閬�(d谩)娉曞墖鏈畾寮忔サ闄愮殑鏂规硶銆�
11锛庝簡瑙f洸鐜囧拰鏇茬巼鍗婂緫鐨勬蹇�锛屾渻(hu矛)瑷�(j矛)绠楁洸鐜囧拰鏇茬巼鍗婂緫锛屾渻(hu矛)姹傚叐鏇茬窔鐨�
浜よ銆�
涓夈€佷竴鍏冨嚱鏁�(sh霉)绌嶅垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
鍘熷嚱鏁�(sh霉)鍜屼笉瀹氱⿳鍒嗙殑姒傚康 涓嶅畾绌嶅垎鐨勫熀鏈€ц唱(zh矛) 鍩烘湰绌嶅垎鍏紡 瀹氱⿳鍒�
鐨勬蹇靛拰鍩烘湰鎬ц唱(zh矛) 瀹氱⿳鍒嗕腑鍊煎畾鐞� 璁婁笂闄愬畾绌嶅垎瀹氱京鐨勫嚱鏁�(sh霉)鍙婂叾灏�(d菐o)鏁�(sh霉) 鐗�
闋�-钀婂竷灏艰尐鍏紡 涓嶅畾绌嶅垎鍜屽畾绌嶅垎鐨勬彌鍏冪⿳鍒嗘硶閮ㄧ⿳鍒嗘硶 鏈夌悊鍑芥暩(sh霉)銆佷笁瑙�
鍑芥暩(sh霉)鐨勬湁鐞嗗紡鍜岀啊(ji菐n)鍠劇鐞嗗嚱鏁�(sh霉)鐨勭⿳鍒� 鍙嶅父绌嶅垎鐨勬蹇靛拰瑷�(j矛)绠� 瀹氱⿳鍒嗙殑鎳�(y墨ng)鐢�
顎�
鑰冭│瑕佹眰顎�
1锛庣悊瑙e師鍑芥暩(sh霉)姒傚康锛岀悊瑙d笉瀹氱⿳鍒嗗拰瀹氱⿳鍒嗙殑姒傚康銆�
2锛庢帉鎻′笉瀹氱⿳鍒嗙殑鍩烘湰鍏紡锛屾帉鎻′笉瀹氱⿳鍒嗗拰瀹氱⿳鍒嗙殑鎬ц唱(zh矛)鍙婂畾绌嶅垎涓€�
瀹氱悊锛屾帉鎻℃彌鍏冪⿳鍒嗘硶鑸囧垎閮ㄧ⿳鍒嗘硶銆�
3锛庢渻(hu矛)姹傛湁鐞嗗嚱鏁�(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)鏈夌悊寮忓強绨�(ji菐n)鍠劇鐞嗗嚱鏁�(sh霉)鐨勭⿳鍒�銆�
4锛庢渻(hu矛)姹傝畩涓婇檺瀹氱⿳鍒嗗畾缇╃殑鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛屾帉鎻$墰闋�-钀婂竷灏煎紡鑼ㄥ叕寮�銆�
5 顎勬渻(hu矛)瑷�(j矛)绠楀唬缇╃⿳鍒�銆傤€�
6 顎勪簡瑙e畾绌嶅垎鐨勮繎浼艰▓(j矛)绠楁硶銆傤€�
7 顎勬帉鎻$敤瀹氱⿳鍒嗚〃閬�(d谩)鍜岃▓(j矛)绠椾竴浜涘咕浣曢噺鑸囩墿鐞嗛噺 (骞抽潰鍦栧舰鐨勯潰绌�銆佸钩闈�
鏇茬窔鐨勫姬闀�(zh菐ng)銆佹棆杞�(zhu菐n)楂旂殑楂旂⿳鍙婂伌(c猫)闈㈢⿳銆佸钩琛屾埅闈㈤潰绌嶇偤宸茬煡鐨勭珛楂旈珨绌�銆佽畩鍔�
浣滃姛銆佸紩鍔涖€佸鍔涘強鍑芥暩(sh霉)鐨勫钩鍧囧€肩瓑)銆傤€�
鍥�銆佸悜閲忎唬鏁�(sh霉)鍜岀┖闁撹В鏋愬咕浣曨€�
鑰冭│鍏�(n猫i)瀹诡€�
鍚戦噺鐨勬蹇� 鍚戦噺鐨勭窔鎬ч亱(y霉n)绠� 鍚戦噺鐨勬暩(sh霉)閲忕⿳鍜屽悜閲忕⿳鐨勬蹇靛強閬�(y霉n)绠� 鍚�
閲忕殑娣峰悎绌� 鍏╁悜閲忓瀭鐩淬€佸钩琛岀殑姊濅欢 鍏╁悜閲忕殑澶捐 鍚戦噺鐨勫潗妯�(bi膩o)琛ㄩ仈(d谩)寮忓強
鍏堕亱(y霉n)绠� 鍠綅鍚戦噺 鏂瑰悜鏁�(sh霉)鑸囨柟鍚戜綑寮� 鏇查潰鏂圭▼鍜岀┖闁撴洸绶氭柟绋嬬殑姒傚康 骞�
闈㈡柟绋�銆佺洿绶氭柟绋� 骞抽潰鑸囧钩闈�銆佸钩闈㈣垏鐩寸窔銆佺洿绶氳垏鐩寸窔鐨勫钩琛屻€佸瀭鐩寸殑姊�
浠跺拰澶捐 榛�(di菐n)鍒板钩闈㈠拰榛�(di菐n)鍒扮洿绶氱殑璺濋洟 鐞冮潰 姣嶇窔骞宠浜庡潗妯�(bi膩o)杌哥殑鏌遍潰 鏃�
杞�(zhu菐n)杌哥偤鍧愭(bi膩o)杌哥殑鏃嬭綁(zhu菐n)鏇查潰鐨勬柟绋� 甯哥敤鐨勪簩娆℃洸闈㈡柟绋嬪強鍏跺湒褰� 绌洪枔鏇茬窔鐨�
鍙冩暩(sh霉)鏂圭▼鍜屼竴鑸柟绋� 绌洪枔鏇茬窔鍦ㄥ潗妯�(bi膩o)闈笂鐨勬姇褰辨洸绶氭柟绋�銆�
鑰冭│瑕佹眰顎�
1锛庣悊瑙g┖闁撶洿瑙掑潗妯�(bi膩o)绯伙紝鐞嗚В鍚戦噺鐨勬蹇靛強鍏惰〃绀�銆�
2锛庢帉鎻″悜閲忕殑閬�(y霉n)绠�(绶氭€ч亱(y霉n)绠�銆佹暩(sh霉)閲忕⿳銆佸悜閲忕⿳銆佹贩鍚堢⿳)锛屼簡瑙e叐鍊�(g猫)鍚戦噺
鍨傜洿銆佸钩琛岀殑姊濅欢銆�
3锛庣悊瑙e柈浣嶅悜閲�銆佹柟鍚戞暩(sh霉)鑸囨柟鍚戜綑寮�銆佸悜閲忕殑鍧愭(bi膩o)琛ㄩ仈(d谩)寮�锛屾帉鎻$敤鍧愭(bi膩o)琛�
閬�(d谩)寮忛€�(j矛n)琛屽悜閲忛亱(y霉n)绠楃殑鏂规硶銆�
4锛庢帉鎻″钩闈㈡柟绋嬪拰鐩寸窔鏂圭▼鍙婂叾姹傛硶锛屾渻(hu矛)鍒╃敤骞抽潰銆佺洿绶氱殑鐩镐簰闂�(gu膩n)绯�(骞�
琛�銆佸瀭鐩�銆佺浉浜ょ瓑)瑙f焙鏈夐棞(gu膩n)鍟忛銆�
5锛庣悊瑙f洸闈㈡柟绋嬬殑姒傚康锛屼簡瑙e父鐢ㄤ簩娆℃洸闈㈢殑鏂圭▼鍙婂叾鍦栧舰锛屾渻(hu矛)姹備互鍧愭(bi膩o)
杌哥偤鏃嬭綁(zhu菐n)杌哥殑鏃嬭綁(zhu菐n)鏇查潰鍙婃瘝绶氬钩琛屼簬鍧愭(bi膩o)杌哥殑鏌遍潰鏂圭▼銆�
6锛庝簡瑙g┖闁撴洸绶氱殑鍙冩暩(sh霉)鏂圭▼鍜屼竴鑸柟绋�銆�
7锛庝簡瑙g┖闁撴洸绶氬湪鍧愭(bi膩o)骞抽潰涓婄殑鎶曞奖锛屽苟鏈�(hu矛)姹傚叾鏂圭▼銆�
浜�銆佸鍏冨嚱鏁�(sh霉)寰垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
澶氬厓鍑芥暩(sh霉)鐨勬蹇� 浜屽厓鍑芥暩(sh霉)鐨勫咕浣曟剰缇� 浜屽厓鍑芥暩(sh霉)鐨勬サ闄愬拰閫g簩(x霉)鐨勬蹇�
鏈夌晫闁夊崁(q奴)鍩熶笂鐨勫鍏冮€g簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛) 澶氬厓鍑芥暩(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鍜屽叏寰垎鐨勬蹇� 鍏ㄥ井
鍒嗗瓨鍦ㄧ殑蹇呰姊濅欢鍜屽厖鍒嗘浠� 鍏ㄥ井鍒嗗湪杩戜技瑷�(j矛)绠椾腑鐨勬噳(y墨ng)鐢� 澶氬厓寰�(f霉)鍚堝嚱鏁�(sh霉)銆�
闅卞嚱鏁�(sh霉)鐨勬眰灏�(d菐o)娉� 浜岄殠鍋忓皫(d菐o)鏁�(sh霉) 鏂瑰悜?q奴)顫�?sh霉)鍜屾搴︾殑姒傚康鍙婂叾瑷�(j矛)绠� 绌洪枔鏇茬窔鐨�
鍒囩窔鍜屾硶骞抽潰 鏇查潰鐨勫垏骞抽潰鍜屾硶绶� 浜屽厓鍑芥暩(sh霉)鐨勪簩闅庢嘲鍕掑叕寮� 澶氬厓鍑芥暩(sh霉)妤�
鍊煎拰姊濅欢妤靛€肩殑姒傚康 澶氬厓鍑芥暩(sh霉)妤靛€肩殑蹇呰姊濅欢 浜屽厓鍑芥暩(sh霉)妤靛€肩殑鍏呭垎姊濅欢
妤靛€肩殑姹傛硶 鎷夋牸鏈楁棩涔樻暩(sh霉)娉� 澶氬厓鍑芥暩(sh霉)鐨勬渶澶у€�銆佹渶灏忓€煎強鍏剁啊(ji菐n)鍠噳(y墨ng)鐢�銆�
鑰冭│瑕佹眰
1锛庣悊瑙e鍏冨嚱鏁�(sh霉)鐨勬蹇�锛岀悊瑙d簩鍏冨嚱鏁�(sh霉)鐨勫咕浣曟剰缇�銆�
2锛庝簡瑙d簩鍏冨嚱鏁�(sh霉)鐨勬サ闄愯垏閫g簩(x霉)鎬х殑姒傚康锛屼互鍙婃湁鐣岄枆鍗€(q奴)鍩熶笂閫g簩(x霉)鍑芥暩(sh霉)鐨勬€�
璩�(zh矛)銆�
3锛庣悊瑙e鍏冨嚱鏁�(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鍜屽叏寰垎鐨勬蹇碉紝鏈�(hu矛)姹傚叏寰垎锛屼簡瑙e叏寰垎瀛樺湪鐨�
蹇呰姊濅欢鍜屽厖鍒�
姊濅欢锛屼簡瑙e叏寰垎褰㈠紡鐨勪笉璁婃€э紝浜嗚В鍏ㄥ井鍒嗗湪杩戜技瑷�(j矛)绠椾腑鐨勬噳(y墨ng)鐢�銆�
4锛庣悊瑙f柟鍚�?q奴)顫�?sh霉)鑸囨搴︾殑姒傚康骞舵帉鎻″叾瑷�(j矛)绠楁柟娉曘€�
5锛庢帉鎻″鍏冨京(f霉)鍚堝嚱鏁�(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鐨勬眰娉�銆�
6锛庢渻(hu矛)姹傞毐鍑芥暩(sh霉)(鍖呮嫭鐢辨柟绋嬬祫纰哄畾鐨勯毐鍑芥暩(sh霉))鐨勫亸灏�(d菐o)鏁�(sh霉)銆�
7锛庝簡瑙f洸绶氱殑鍒囩窔鍜屾硶骞抽潰鍙婃洸闈㈢殑鍒囧钩闈㈠拰娉曠窔鐨勬蹇�锛屾渻(hu矛)姹傚畠鍊戠殑鏂�
绋嬨€�
8锛庝簡瑙d簩鍏冨嚱鏁�(sh霉)鐨勪簩闅庢嘲鍕掑叕寮�銆�
9锛庣悊瑙e鍏冨嚱鏁�(sh霉)妤靛€煎拰姊濅欢妤靛€肩殑姒傚康锛屾帉鎻″鍏冨嚱鏁�(sh霉)妤靛€煎瓨鍦ㄧ殑蹇呰姊�
浠�锛屼簡瑙d簩鍏冨嚱鏁�(sh霉)妤靛€煎瓨鍦ㄧ殑鍏呭垎姊濅欢锛屾渻(hu矛)姹備簩鍏冨嚱鏁�(sh霉)鐨勬サ鍊�锛屾渻(hu矛)鐢ㄦ媺鏍兼湕鏃�
涔樻暩(sh霉)娉曟眰姊濅欢妤靛€�锛屾渻(hu矛)姹傜啊(ji菐n)鍠鍏冨嚱鏁�(sh霉)鐨勬渶澶у€煎拰鏈€灏忓€硷紝骞舵渻(hu矛)瑙f焙涓€浜涚啊(ji菐n)鍠�
鐨勬噳(y墨ng)鐢ㄥ晱椤�銆�
鍏�銆佸鍏冨嚱鏁�(sh霉)绌嶅垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
浜岄噸绌嶅垎銆佷笁閲嶇⿳鍒嗙殑姒傚康鍙婃€ц唱(zh矛) 浜岄噸绌嶅垎鑸囦笁閲嶇⿳鍒嗙殑瑷�(j矛)绠楀拰鎳�(y墨ng)鐢�
鍏╅鏇茬窔绌嶅垎鐨勬蹇点€佹€ц唱(zh矛)鍙婅▓(j矛)绠� 鍏╅鏇茬窔绌嶅垎鐨勯棞(gu膩n)绯� 鏍兼灄(Green)鍏紡
骞抽潰鏇茬窔绌嶅垎鑸囪矾寰戠劇闂�(gu膩n)鐨勬浠� 宸茬煡鍏ㄥ井鍒嗘眰鍘熷嚱鏁�(sh霉) 鍏╅鏇查潰绌嶅垎鐨勬
蹇�銆佹€ц唱(zh矛)鍙婅▓(j矛)绠� 鍏╅鏇查潰绌嶅垎鐨勯棞(gu膩n)绯� 楂樻柉(Gauss)鍏紡 鏂墭鍏嬫柉(Stokes)
鍏紡 鏁e害銆佹棆搴︾殑姒傚康鍙婅▓(j矛)绠� 鏇茬窔绌嶅垎鍜屾洸闈㈢⿳鍒嗙殑鎳�(y墨ng)鐢ㄣ€�
鑰冭│瑕佹眰
1锛庣悊瑙d簩閲嶇⿳鍒�銆佷笁閲嶇⿳鍒嗙殑姒傚康锛屼簡瑙i噸绌嶅垎鐨勬€ц唱(zh矛)锛屼簡瑙d簩閲嶇⿳鍒嗙殑
涓€煎畾鐞�銆�
2锛庢帉鎻′簩閲嶇⿳鍒�(鐩磋鍧愭(bi膩o)銆佹サ鍧愭(bi膩o))鐨勮▓(j矛)绠楁柟娉�锛屾渻(hu矛)瑷�(j矛)绠椾笁閲嶇⿳鍒�(鐩磋
鍧愭(bi膩o)銆佹煴闈㈠潗妯�(bi膩o)銆佺悆闈㈠潗妯�(bi膩o))銆�
3锛庣悊瑙e叐椤炴洸绶氱⿳鍒嗙殑姒傚康锛屼簡瑙e叐椤炴洸绶氱⿳鍒嗙殑鎬ц唱(zh矛)鍙婂叐椤炴洸绶氱⿳鍒嗙殑
闂�(gu膩n)绯�銆�
4锛庢帉鎻¤▓(j矛)绠楀叐椤炴洸绶氱⿳鍒嗙殑鏂规硶銆�
5锛庢帉鎻℃牸鏋楀叕寮忓苟鏈�(hu矛)閬�(y霉n)鐢ㄥ钩闈㈡洸绶氱⿳鍒嗚垏璺緫鐒¢棞(gu膩n)鐨勬浠�锛屾渻(hu矛)姹傚叏寰垎鐨�
鍘熷嚱鏁�(sh霉)銆�
6锛庝簡瑙e叐椤炴洸闈㈢⿳鍒嗙殑姒傚康銆佹€ц唱(zh矛)鍙婂叐椤炴洸闈㈢⿳鍒嗙殑闂�(gu膩n)绯�锛屾帉鎻¤▓(j矛)绠楀叐椤�
鏇查潰绌嶅垎鐨勬柟娉曪紝浜嗚В楂樻柉鍏紡銆佹柉鎵樺厠鏂叕寮忥紝鏈�(hu矛)鐢ㄩ珮鏂叕寮忚▓(j矛)绠楁洸闈㈢⿳鍒�銆�
7锛庝簡瑙f暎搴﹁垏鏃嬪害鐨勬蹇�锛屽苟鏈�(hu矛)瑷�(j矛)绠�銆�
8锛庢渻(hu矛)鐢ㄩ噸绌嶅垎銆佹洸绶氱⿳鍒嗗強鏇查潰绌嶅垎姹備竴浜涘咕浣曢噺鑸囩墿鐞嗛噺(骞抽潰鍦栧舰鐨�
闈㈢⿳銆侀珨绌�銆佹洸闈㈤潰绌�銆佸姬闀�(zh菐ng)銆佽唱(zh矛)閲�銆侀噸蹇冦€佽綁(zhu菐n)鍕�(d貌ng)鎱i噺銆佸紩鍔涖€佸姛鍙婃祦閲忕瓑)銆�
涓�銆佺劇绐礆(j铆)鏁�(sh霉)
鑰冭│鍏�(n猫i)瀹�
甯告暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁g殑姒傚康 鏀舵杺绱�(j铆)鏁�(sh霉)鐨勫拰鐨勬蹇� 绱�(j铆)鏁�(sh霉)鐨勫熀鏈€ц唱(zh矛)
鑸囨敹鏂傜殑蹇呰姊濅欢 骞句綍绱�(j铆)鏁�(sh霉)鑸� p 绱�(j铆)鏁�(sh霉)浠ュ強瀹冨€戠殑鏀舵杺鎬� 姝i爡(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬瘮杓冨
鏂傛硶銆佹瘮鍊煎鏂傛硶銆佹牴鍊煎鏂傛硶 浜ら尟(cu貌)绱�(j铆)鏁�(sh霉)鑸囪悐甯冨凹鑼ㄥ畾鐞� 浠绘剰闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勭禃
灏�(du矛)鏀舵杺鑸囨浠舵敹鏂� 鍑芥暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬敹鏂傝垏鍜屽嚱鏁�(sh霉)鐨勭殑姒傚康 鍐礆(j铆)鏁�(sh霉)鍙婂叾鏀舵杺鍗�
寰戙€佹敹鏂傚崁(q奴)闁�(鎸囬枊鍗€(q奴)闁�)鍜屾敹鏂傚煙 鍐礆(j铆)鏁�(sh霉)鐨勫拰鍑芥暩(sh霉) 鍐礆(j铆)鏁�(sh霉)鍦ㄥ叾鏀舵杺鍗€(q奴)闁撳収(n猫i)
鐨勫熀鏈€ц唱(zh矛) 绨�(ji菐n)鍠啰绱�(j铆)鏁�(sh霉)鐨勫拰鍑芥暩(sh霉)鐨勬眰娉� 鍑芥暩(sh霉)鍙睍闁嬬偤娉板嫆绱�(j铆)鏁�(sh霉)鐨勫厖鍒�
蹇呰姊濅欢 e
x
銆乻inx銆乧os x銆乴n(1+x)鍜�(1+x)

鐨勯亥鍏嬪嫗鏋�(Maclaurin)灞曢枊寮� 鍐�
绱�(j铆)鏁�(sh霉)鍦ㄨ繎浼艰▓(j矛)绠椾腑鐨勬噳(y墨ng)鐢� 鍑芥暩(sh霉)鐨勫倕閲岃憠(Fourier)绯绘暩(sh霉)鑸囧倕閲岃憠绱�(j铆)鏁�(sh霉) 鐙勫埄
鍏嬮浄(Dirichlet)瀹氱悊 鍑芥暩(sh霉)鍦蓟-l锛宭锛戒笂鐨勫倕閲岃憠绱�(j铆)鏁�(sh霉) 鍑芥暩(sh霉)鍦蓟0锛宭锛筋€�
涓婄殑姝e鸡绱�(j铆)鏁�(sh霉)鍜屼綑寮︾礆(j铆)鏁�(sh霉)銆�
鑰冭│瑕佹眰
1锛庣悊瑙e父鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鏀舵杺銆佺櫦(f膩)鏁d互鍙婃敹鏂傜礆(j铆)鏁�(sh霉)鐨勫拰鐨勬蹇�锛屾帉鎻$礆(j铆)鏁�(sh霉)鐨勫熀鏈�
鎬ц唱(zh矛)鍙婃敹鏂傜殑蹇呰姊濅欢銆�
2锛庢帉鎻″咕浣曠礆(j铆)鏁�(sh霉)鑸� p 绱�(j铆)鏁�(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁g殑姊濅欢銆�
3锛庢帉鎻℃闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬瘮杓冨鏂傛硶鍜屾瘮鍊煎鏂傛硶锛屾渻(hu矛)鐢ㄦ牴鍊煎鏂傛硶銆�
4锛庢帉鎻′氦閷�(cu貌)绱�(j铆)鏁�(sh霉)鐨勮悐甯冨凹鑼ㄥ垽鍒ユ硶銆�
5锛庝簡瑙d换鎰忛爡(xi脿ng)绱�(j铆)鏁�(sh霉)绲曞皪(du矛)鏀舵杺鑸囨浠舵敹鏂傜殑姒傚康锛屼互鍙婄禃灏�(du矛)鏀舵杺鑸囨浠舵敹鏂�
鐨勯棞(gu膩n)绯汇€�
6锛庝簡瑙e嚱鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬敹鏂傚煙鍙婂拰鍑芥暩(sh霉)鐨勬蹇�銆�
7锛庢帉鎻″啰绱�(j铆)鏁�(sh霉)鐨勬敹鏂傚崐寰�銆佹敹鏂傚崁(q奴)闁撳強鏀舵杺鍩熺殑姹傛硶銆�
8锛庝簡瑙e啰绱�(j铆)鏁�(sh霉)鍦ㄥ叾鏀舵杺鍗€(q奴)闁撳収(n猫i)鐨勪竴浜涘熀鏈€ц唱(zh矛)(鍜屽嚱鏁�(sh霉)鐨勯€g簩(x霉)鎬с€侀€愰爡(xi脿ng)寰�
鍒嗗拰閫愰爡(xi脿ng)绌嶅垎)锛屾渻(hu矛)姹備竴浜涘啰绱�(j铆)鏁�(sh霉)鍦ㄦ敹鏂傚崁(q奴)闁撳収(n猫i)鐨勫拰鍑芥暩(sh霉)锛屽苟鏈�(hu矛)鐢辨姹傚嚭鏌愪簺鏁�(sh霉)
闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勫拰銆�
9锛庝簡瑙e嚱鏁�(sh霉)灞曢枊鐐烘嘲鍕掔礆(j铆)鏁�(sh霉)鐨勫厖鍒嗗繀瑕佹浠�銆�
10锛庢帉鎻� e
x
锛宻inx锛� cosx锛宭n(1+x)鍜�(1+x)
a
鐨勯亥鍏嬪嫗鏋楀睍闁嬪紡锛屾渻(hu矛)鐢ㄥ畠
鍊戝皣涓€浜涚啊(ji菐n)鍠嚱鏁�(sh霉)闁撴帴灞曢枊鎴愬啰绱�(j铆)鏁�(sh霉)銆�
11锛庝簡瑙e啰绱�(j铆)鏁�(sh霉)鍦ㄨ繎浼艰▓(j矛)绠椾笂鐨勭啊(ji菐n)鍠噳(y墨ng)鐢�銆�
12锛庝簡瑙e倕閲岃憠绱�(j铆)鏁�(sh霉)鐨勬蹇靛拰鍑芥暩(sh霉)灞曢枊鐐哄倕閲岃憠绱�(j铆)鏁�(sh霉)鐨勭媱鍒╁厠闆峰畾鐞�锛屾渻(hu矛)
灏囧畾缇╁湪锛�-l锛岋冀涓婄殑鍑芥暩(sh霉)灞曢枊鍌呴噷钁夌礆(j铆)鏁�(sh霉)锛屾渻(hu矛)灏囧畾缇╁湪锛�0锛宭锛戒笂鐨勫嚱鏁�(sh霉)灞曢枊
鐐烘寮︾礆(j铆)鏁�(sh霉)鑸囦綑寮︽暩(sh霉)锛屾渻(hu矛)瀵嚭鍌呴噷钁夌礆(j铆)鏁�(sh霉)鐨勫拰鐨勮〃閬�(d谩)寮�銆�
鍏€佸父寰垎鏂圭▼
鑰冭│鍏�(n猫i)瀹�
甯稿井鍒嗘柟绋嬬殑姒傚康 寰垎鏂圭▼鐨勮В銆侀殠銆侀€氳В銆佸垵濮嬫浠跺拰鐗硅В 璁婇噺鍙�
鍒嗛洟鐨勬柟绋� 榻婃鏂圭▼ 涓€闅庣窔鎬ф柟绋� 浼姫鍒�(Bernoulli)鏂圭▼ 鍏ㄥ井鍒嗘柟
绋� 鍙敤绨�(ji菐n)鍠殑璁婇噺浠f彌姹傝В鐨勬煇浜涘井鍒嗘柟绋� 鍙檷鍍�(ji脿)楂橀殠寰垎鏂圭▼ 绶氭€�
寰垎鏂圭▼瑙g殑鎬ц唱(zh矛)鍙婅В鐨勭祼(ji茅)妲�(g貌u)瀹氱悊 浜岄殠甯哥郴鏁�(sh霉)榻婃绶氭€у井鍒嗘柟绋� 楂樹簬浜岄殠
鐨勬煇浜涘父绯绘暩(sh霉)榻婃绶氭€у井鍒嗘柟绋� 绨�(ji菐n)鍠殑浜岄殠甯哥郴鏁�(sh霉)闈為綂娆$窔鎬у井鍒嗘柟绋� 姝�
鎷�(Euler)鏂圭▼ 鍖呭惈鍏╁€�(g猫)鏈煡鍑芥暩(sh霉)鐨勪竴闅庡父绯绘暩(sh霉)绶氭€у井鍒嗘柟绋嬬祫 寰垎鏂�
绋嬬殑鍐礆(j铆)鏁�(sh霉)瑙f硶 寰垎鏂圭▼(鎴栨柟绋嬬祫)鐨勭啊(ji菐n)鍠噳(y墨ng)鐢ㄥ晱椤�銆�
鑰冭│瑕佹眰
1锛庝簡瑙e井鍒嗘柟绋嬪強鍏惰В銆侀殠銆侀€氳В銆佸垵濮嬫浠跺拰鐗硅В绛夋蹇�銆�
2锛庢帉鎻¤畩閲忓彲鍒嗛洟鐨勬柟绋嬪強涓€闅庣窔鎬ф柟绋嬬殑瑙f硶銆�
3锛庢渻(hu矛)瑙i綂娆℃柟绋�銆佷集鍔埄鏂圭▼鍜屽叏寰垎鏂圭▼锛屾渻(hu矛)鐢ㄧ啊(ji菐n)鍠殑璁婇噺浠f彌瑙f煇浜�
寰垎鏂圭▼銆�
4锛庢渻(hu矛)鐢ㄩ檷浣庨殠娉曡В涓嬪垪鏂圭▼锛歽
(n)
=f
(x)
锛寉鈥�=(x锛寉鈥�)鍜� y鈥�=f(y锛寉鈥�)
5锛庣悊瑙g窔鎬у井鍒嗘柟绋嬭В鐨勬€ц唱(zh矛)鍙婅В鐨勭祼(ji茅)妲�(g貌u)瀹氱悊銆�
6锛庢帉鎻′簩闅庡父绯绘暩(sh霉)榻婃绶氭€у井鍒嗘柟绋嬬殑瑙f硶锛屽苟鏈�(hu矛)瑙f煇浜涢珮浜庝簩闅庣殑甯哥郴
鏁�(sh霉)榻婃绶氭€у井鍒嗘柟绋�銆�
7锛庢渻(hu矛)姹傝嚜鐢遍爡(xi脿ng)鐐哄闋�(xi脿ng)寮�銆佹寚鏁�(sh霉)鍑芥暩(sh霉)銆佹寮﹀嚱鏁�(sh霉)銆佷綑寮﹀嚱鏁�(sh霉)锛屼互鍙婂畠鍊戠殑鍜�
鑸囩⿳鐨勪簩闅庡父绯绘暩(sh霉)闈為綂娆$窔鎬у井鍒嗘柟绋嬬殑鐗硅В鍜岄€氳В銆�
8锛庝簡瑙e井鍒嗘柟绋嬬殑鍐礆(j铆)鏁�(sh霉)瑙f硶锛屾渻(hu矛)瑙f瓙鎷夋柟绋�锛屾渻(hu矛)瑙e寘鍚叐鍊�(g猫)鏈煡鍑芥暩(sh霉)鐨�
涓€闅庡父绯绘暩(sh霉)绶氭€у井鍒嗘柟绋嬬祫銆�
9锛庢渻(hu矛)鐢ㄥ井鍒嗘柟绋�(鎴栨柟绋嬬祫)瑙f焙涓€浜涚啊(ji菐n)鍠殑鎳�(y墨ng)鐢ㄥ晱椤�銆�
绶氭€т唬鏁�(sh霉)顎�
涓€銆佽鍒楀紡顎�
鑰冭│鍏�(n猫i)瀹�
琛屽垪寮忕殑姒傚康鍜屾€ц唱(zh矛) 琛屽垪寮忔寜琛�(鍒�)灞曢枊瀹氱悊
鑰冭│瑕佹眰
1锛庝簡瑙h鍒楀紡鐨勬蹇�锛屾帉鎻¤鍒楀紡鐨勬€ц唱(zh矛)銆�
2锛庢渻(hu矛)鎳�(y墨ng)鐢ㄨ鍒楀紡鐨勬€ц唱(zh矛)鍜岃鍒楀紡鎸夎(鍒�)灞曢枊瀹氱悊瑷�(j矛)绠楄鍒楀紡銆�
浜屻€佺煩闄�
鑰冭│鍏�(n猫i)瀹�
鐭╅櫍鐨勬蹇� 鍠綅鐭╅櫍銆佸皪(du矛)瑙掔煩闄�銆佷笁瑙掔煩闄c€佸皪(du矛)绋辩煩闄e拰鍙嶅皪(du矛)绋辩煩闄d互
鍙婂畠鍊戠殑鎬ц唱(zh矛) 鐭╅櫍鐨勭窔鎬ч亱(y霉n)绠� 鐭╅櫍鐨勪箻娉� 鏂归櫍鐨勫啰 鏂归櫍涔樼⿳鐨勮鍒楀紡
鐭╅櫍鐨勮綁(zhu菐n)缃� 閫嗙煩闄g殑姒傚康鍜屾€ц唱(zh矛) 鐭╅櫍鍙€嗙殑鍏呭垎蹇呰姊濅欢 鐭╅櫍鐨勪即闅ㄧ煩
闄� 鐭╅櫍鐨勫垵绛夎畩鎻� 鍒濈瓑鐭╅櫍 鐭╅櫍绛夊児(ji脿) 鐭╅櫍鐨勪即闅ㄧ煩闄� 鐭╅櫍鐨勫垵绛夎畩
鎻� 鍒濈瓑鐭╅櫍 鐭╅櫍绛夊児(ji脿) 鐭╅櫍鐨勭З 鍒濈瓑璁婃彌姹傜煩闄g殑绉╁拰閫嗙煩闄g殑鏂规硶
鍒嗗鐭╅櫍鍙婂叾閬�(y霉n)绠�銆�
鑰冭│瑕佹眰
1锛庣悊瑙g煩闄g殑姒傚康銆�
2锛庝簡瑙e柈浣嶇煩闄�銆佸皪(du矛)瑙掔煩闄c€佷笁瑙掔煩闄�銆佸皪(du矛)绋辩煩闄e拰鍙嶅皪(du矛)鐭╅櫍锛屼互鍙婂畠鍊�
鐨勬€ц唱(zh矛)銆�
3锛庢帉鎻$煩闄g殑绶氭€ч亱(y霉n)绠椼€佷箻娉�銆佽綁(zhu菐n)缃�锛屼互鍙婂畠鍊戠殑閬�(y霉n)绠楄(gu墨)寰�锛屼簡瑙f柟闄g殑
鍐�銆佹柟闄d箻绌嶇殑琛屽垪寮忋€�
4锛庣悊瑙i€嗙煩闄g殑姒傚康锛屾帉鎻¢€嗙煩闄g殑鎬ц唱(zh矛)锛屼互鍙婄煩闄e彲閫嗙殑鍏呭垎蹇呰姊濅欢锛�
鐞嗚В浼撮毃鐭╅櫍鐨勬蹇碉紝鏈�(hu矛)鐢ㄤ即闅ㄧ煩闄f眰鐭╅櫍鐨勯€�銆�
5锛庢帉鎻$煩闄g殑鍒濈瓑璁婃彌锛屼簡瑙e垵绛夌煩闄g殑鎬ц唱(zh矛)鍜岀煩闄g瓑鍍�(ji脿)鐨勬蹇�锛岀悊瑙g煩
闄g殑绉╃殑姒傚康锛屾帉鎻$敤鍒濈瓑璁婃彌姹傜煩闄g殑绉╁拰閫嗙煩闄g殑鏂规硶銆�
6锛庝簡瑙e垎濉婄煩闄e強鍏堕亱(y霉n)绠�銆�
涓�銆佸悜閲�
鑰冭│鍏�(n猫i)瀹�
鍚戦噺鐨勬蹇� 鍚戦噺鐨勭窔鎬х祫鍚堝拰绶氭€ц〃绀� 鍚戦噺绲勭殑绶氭€х浉闂�(gu膩n)鑸囩窔鎬х劇闂�(gu膩n)
鍚戦噺绲勭殑妤靛ぇ绶氭€х劇闂�(gu膩n)绲� 绛夊児(ji脿)鍚戦噺绲� 鍚戦噺绲勭殑绉� 鍚戦噺绲勭殑绉╄垏鐭╅櫍鐨勭З
涔嬮枔鐨勯棞(gu膩n)绯� 鍚戦噺绌洪枔銆佸瓙绌洪枔銆佸熀搴�銆佺董鏁�(sh霉)鍙婂潗妯�(bi膩o)绛夋蹇� n 缍悜閲忕┖闁撶殑
鍩鸿畩鎻涘拰鍧愭(bi膩o)璁婃彌 閬庢浮鐭╅櫍 鍚戦噺鐨勫収(n猫i)绌� 绶氭€х劇闂�(gu膩n)鍚戦噺绲勭殑姝d氦瑕�(gu墨)鑼冨寲鏂�
娉� 妯�(bi膩o)婧�(zh菙n)姝d氦鍩� 姝d氦鐭╅櫍鍙婂叾鎬ц唱(zh矛)銆�
鑰冭│瑕佹眰
1锛庣悊瑙� n 缍悜閲忕殑姒傚康銆佸悜閲忕殑绶氭€х祫鍚堣垏绶氭€ц〃绀�銆�
2锛庣悊瑙e悜閲忕祫绶氭€х浉闂�(gu膩n)銆佺窔鎬х劇闂�(gu膩n)鐨勫畾缇�锛屼簡瑙e苟鏈�(hu矛)鏈夌敤鏈夐棞(gu膩n)鍚戦噺绲勭殑绶�
鎬х浉闂�(gu膩n)銆佺窔鎬х劇闂�(gu膩n)鐨勬湁闂�(gu膩n)鎬ц唱(zh矛)鍙婂垽鍒ユ硶銆�
3锛庝簡瑙e悜閲忕祫鐨勬サ澶х窔鎬х劇闂�(gu膩n)绲勫拰鍚戦噺绲勭殑绉╃殑姒傚康锛屾渻(hu矛)姹傚悜閲忕祫鐨勬サ澶�
绶氭€х劇闂�(gu膩n)绲勫強绉�銆�
4锛庝簡瑙e悜閲忕祫绛夊児(ji脿)鐨勬蹇�锛屼簡瑙e悜閲忕祫鐨勭З鑸囩煩闄gЗ鐨勯棞(gu膩n)绯汇€�
5锛庝簡瑙� n 缍悜閲忕┖闁�銆佸瓙绌洪枔銆佸熀搴�銆佺董鏁�(sh霉)銆佸潗妯�(bi膩o)绛夋蹇�銆�
6锛庢帉鎻″熀璁婃彌鍜屽潗妯�(bi膩o)璁婃彌鍏紡锛屾渻(hu矛)姹傞亷娓$煩闄c€�
7锛庝簡瑙e収(n猫i)绌嶇殑姒傚康锛屾帉鎻$窔鎬х劇闂�(gu膩n)鍚戦噺绲勬(bi膩o)婧�(zh菙n)瑕�(gu墨)鑼冨寲鐨勬柦瀵嗙壒(Schmidt)
鏂规硶銆�
8锛庝簡瑙f(bi膩o)婧�(zh菙n)姝d氦鍩�銆佹浜ょ煩闄g殑姒傚康锛屼互鍙婂畠鍊戠殑鎬ц唱(zh矛)銆�
鍥涖€佺窔鎬ф柟绋嬬祫
鑰冭│鍏�(n猫i)瀹�
绶氭€ф柟绋嬬祫鐨勫厠钀婂(Cramer)娉曞墖 榻婃绶氭€ф柟绋嬬祫鏈夐潪闆惰В鐨勫厖鍒嗗繀瑕�
姊濅欢 闈為綂娆$窔鎬ф柟绋嬬祫鏈夎В鐨勫厖鍒嗗繀瑕佹浠� 绶氭€ф柟绋嬭В鐨勬€ц唱(zh矛)鍜岃В鐨勭祼(ji茅)妲�(g貌u)
榻婃绶氭€ф柟绋嬬祫鐨勫熀绀�(ch菙)瑙g郴鍜岄€氳В 瑙g┖闁� 闈為綂娆$窔鎬ф柟绋嬬祫鐨勯€氳В 琛屽垵
璁婃彌姹傝В绶氭€ф柟绋嬬祫鐨勬柟娉�銆�
鑰冭│瑕佹眰
1锛庢帉鎻″厠钀婂娉曞墖銆�
2锛庣悊瑙i綂娆$窔鎬ф柟绋嬬祫鏈夐潪闆惰В鐨勫厖鍒嗗繀瑕佹浠跺強闈為綂娆$窔鎬ф柟绋嬬祫鏈夎В
鐨勫厖鍒嗗繀瑕佹浠�銆�
3锛庣悊瑙i綂娆$窔鎬ф柟绋嬬祫鐨勫熀绀�(ch菙)瑙g郴銆侀€氳В鍙婅В绌洪枔鐨勬蹇点€�
4锛庣悊瑙i潪榻婃绶氭€ф柟绋嬬祫瑙g殑绲�(ji茅)妲�(g貌u)鍙婇€氳В鐨勬蹇�銆�
5锛庢帉鎻$敤琛屽垵绛夎畩鎻涙眰绶氭€ф柟绋嬬祫閫氳В鐨勬柟娉曘€�
浜�銆佺煩闄g殑鐗瑰緛鍊煎拰鐗瑰緛鍚戦噺
鑰冭│鍏�(n猫i)瀹�
鐭╅櫍鐨勭壒寰佸€煎拰鐗瑰緛鍚戦噺鐨勬蹇�銆佹€ц唱(zh矛)鍙婃眰娉� 鐩镐技璁婃彌銆佺浉浼肩煩闄g殑姒�
蹇靛強鎬ц唱(zh矛) 鐭╅櫍鍙皪(du矛)瑙掑寲鐨勫厖鍒嗗繀瑕佹浠跺強鐩镐技灏�(du矛)瑙掔煩闄� 瀵�(sh铆)灏�(du矛)绋辩煩闄g壒寰佸€�
鍜岀壒寰佸悜閲忓強鐩镐技灏�(du矛)瑙掔煩闄�銆�
鑰冭│瑕佹眰
1锛庣悊瑙g煩闄g殑鐗瑰緛鍊煎拰鐗瑰緛鍚戦噺鐨勬蹇靛強鎬ц唱(zh矛)锛屾渻(hu矛)姹傜煩闄g殑鐗瑰緛鍊煎拰鐗瑰緛
鍚戦噺銆�
2锛庝簡瑙g浉浼肩煩闄g殑姒傚康銆佹€ц唱(zh矛)鍙婄煩闄e彲鐩镐技灏�(du矛)瑙掑寲鐨勫厖鍒嗗繀瑕佹浠�銆�
3锛庝簡瑙e(sh铆)灏�(du矛)绋辩煩闄g殑鐗瑰緛鍊煎拰鐗瑰緛鍚戦噺鐨勬€ц唱(zh矛)锛屾帉鎻$敤鐩镐技璁婃彌鍖栫煩闄g偤
灏�(du矛)瑙掔煩闄g殑鏂规硶銆�
鍏�銆佷簩娆″瀷
鑰冭│鍏�(n猫i)瀹�
浜屾鍨嬪強鍏剁煩闄h〃绀� 鍚堝悓璁婃彌鑸囧悎鍚岀煩闄� 浜屾鍨嬬殑绉� 鎱f€у畾鐞� 浜�
娆″瀷鐨勬(bi膩o)婧�(zh菙n)褰㈠拰瑕�(gu墨)鑼冨舰 鐢ㄦ浜よ畩鎻涘拰閰嶆柟娉曞寲浜屾鍨嬬偤妯�(bi膩o)婧�(zh菙n)褰� 浜屾鍨嬪拰灏�(du矛)
鎳�(y墨ng)鐭╅櫍鐨勬瀹氭€у強鍏跺垽鍒ユ硶銆�
鑰冭│瑕佹眰
1锛庢帉鎻′簩娆″瀷鍙婂叾鐭╅櫍琛ㄧず锛屼簡瑙d簩娆″瀷绉╃殑姒傚康锛屼簡瑙d簩娆″瀷鐨勬(bi膩o)婧�(zh菙n)鍨�銆�
瑕�(gu墨)鑼冨舰鐨勬蹇�锛屼簡瑙f叄鎬у畾鐞嗐€�
2锛庢帉鎻$敤姝d氦璁婃彌鍖栦簩娆″瀷鐐烘(bi膩o)婧�(zh菙n)褰㈢殑鏂规硶锛屼簡瑙g敤閰嶆柟娉曞寲浜屾鍨嬬偤妯�(bi膩o)
婧�(zh菙n)褰㈢殑鏂规硶銆�
3锛庝簡瑙d簩娆″瀷鍜屽皪(du矛)鎳�(y墨ng)鐭╅櫍鐨勬瀹氭€у強鍏跺垽鍒ユ硶銆�
瑭﹀嵎绲�(ji茅)妲�(g貌u)
(涓€)鍏�(n猫i)瀹规瘮渚�
楂樼瓑鏁�(sh霉)瀛�(xu茅) 绱� 70%锛涚窔鎬т唬鏁�(sh霉) 绱� 30%锛�
(浜�)椤屽瀷姣斾緥
濉┖椤岃垏閬告搰椤� 绱� 30%
瑙g瓟椤�(鍖呮嫭璀夋槑椤�) 绱� 70%
绺藉垎锛�150 鍒�

鍏嶈铂(z茅)鑱叉槑锛氭湰鏂囩郴杞�(zhu菐n)杓夎嚜缍�(w菐ng)绲�(lu貌)锛屽鏈変镜鐘�锛岃珛(q菒ng)鑱�(li谩n)绯绘垜鍊戠珛鍗冲埅闄わ紝鍙︼細鏈枃鍍呬唬琛ㄤ綔鑰呭€�(g猫)浜鸿榛�(di菐n)锛岃垏鏈恫(w菐ng)绔欑劇闂�(gu膩n)銆傚叾鍘熷壍(chu脿ng)鎬т互鍙婃枃涓櫝杩版枃瀛楀拰鍏�(n猫i)瀹规湭缍�(j墨ng)鏈珯璀夊(sh铆)锛屽皪(du矛)鏈枃浠ュ強鍏朵腑鍏ㄩ儴鎴栬€呴儴鍒嗗収(n猫i)瀹广€佹枃瀛楃殑鐪熷(sh铆)鎬�銆佸畬鏁存€�銆佸強鏅�(sh铆)鎬ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛(q菒ng)璁€鑰呭儏浣滃弮鑰�锛屽苟璜�(q菒ng)鑷鏍稿(sh铆)鐩搁棞(gu膩n)鍏�(n猫i)瀹�銆�

  • 涓婁竴绡囨枃绔狅細

  • 涓嬩竴绡囨枃绔狅細
  • 鑰冨崥鍜ㄨQQ 3455265070 榛�(di菐n)鎿婇€欓噷绲︽垜鐧�(f膩)娑堟伅 鑰冪爺鍜ㄨ QQ 3455265070 榛�(di菐n)鎿婇€欓噷绲︽垜鐧�(f膩)娑堟伅 閮电锛� 3455265070@qq.com
    鍏徃鍚嶇ū:鏄嗗北鍓�(chu脿ng)閰蜂俊鎭鎶€鏈夐檺鍏徃 鐗堟瑠(qu谩n)鎵€鏈�
    鑰冪爺绉樼睄缍�(w菐ng) 鐗堟瑠(qu谩n)鎵€鏈� © kaoyanmiji.com All Rights Reserved
    鑱叉槑锛氭湰缍�(w菐ng)绔欏皧閲嶅苟淇濊(h霉)鐭ヨ瓨(sh铆)鐢�(ch菐n)娆�(qu谩n)锛屾牴鎿�(j霉)銆婁俊鎭恫(w菐ng)绲�(lu貌)鍌虫挱娆�(qu谩n)淇濊(h霉)姊濅緥銆�锛屽鏋滄垜鍊戣綁(zhu菐n)杓夋垨寮曠敤鐨勪綔鍝佷镜鐘簡鎮ㄧ殑娆�(qu谩n)鍒╋紝璜�(q菒ng)閫氱煡鎴戝€�锛屾垜鍊戞渻(hu矛)鍙婃檪(sh铆)鍒櫎锛�