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鍙嬫儏鎻愮ず锛氭湰绔欐彁渚涘叏鍦�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�锛岄儴鍒嗗(xu茅)鏍℃洿鏂拌嚦2012骞�锛�2013骞�锛涘潎鎻愪緵鏀惰不涓嬭級銆� 涓嬭級娴佺▼锛� 鑰冪爺鐪熼 榛炴搳鈥�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛炴搳鈥�鑰冨崥瑭﹀嵎搴�鈥� 涓嬭級
婀栧崡甯寖澶у(xu茅)纰╁＋鐮旂┒鐢熷叆瀛�(xu茅)鑰冭│鑷懡椤岃€冭│澶х侗
鑰冭│绉戠洰浠ｇ⒓锛歔601] 鑰冭│绉戠洰鍚嶇ū锛氶珮绛夋暩(sh霉)瀛�(xu茅)
涓€銆佽│鍗风祼(ji茅)妲�(g貌u)
1) 瑭﹀嵎鎴愮妇鍙婅€冭│鏅傞枔
鏈│鍗锋豢鍒嗙偤 150 鍒�锛岃€冭│鏅傞枔鐐� 180 鍒嗛悩銆�
2)绛旈鏂瑰紡锛氶枆鍗�銆佺瓎瑭�
3)瑭﹀嵎鍏�(n猫i)瀹圭祼(ji茅)妲�(g貌u)
楂樼瓑鏁�(sh霉)瀛�(xu茅)閮ㄥ垎 75% 绶氭€т唬鏁�(sh霉)閮ㄥ垎 25%
4)椤屽瀷绲�(ji茅)妲�(g貌u)
a: 鍠爡閬告搰椤�锛�5 灏忛锛屾瘡灏忛 4 鍒�锛屽叡 20 鍒�
b: 濉┖椤�锛�10 灏忛锛屾瘡灏忛 4 鍒�锛屽叡 40 鍒�
c: 瑙ｇ瓟椤�(鍖呮嫭璀夋槑椤�)锛�9 灏忛锛屾瘡灏忛 鍒�锛屽叡 90 鍒�
浜屻€佽€冭│鍏�(n猫i)瀹硅垏鑰冭│瑕佹眰
锛堜竴锛夐珮绛夋暩(sh霉)瀛�(xu茅)閮ㄥ垎
1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€с€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�
鍙嶅嚱鏁�(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) 鍑芥暩(sh霉)闂�(gu膩n)
绯荤殑寤虹珛
鏁�(sh霉)鍒楁サ闄愯垏鍑芥暩(sh霉)妤甸檺鐨勫畾缇╁強鍏舵€ц唱(zh矛) 鍑芥暩(sh霉)鐨勫乏妤甸檺鍜屽彸妤甸檺 鐒＄灏忛噺
鍜岀劇绐ぇ閲忕殑姒傚康鍙婂叾闂�(gu膩n)绯� 鐒＄灏忛噺鐨勬€ц唱(zh矛)鍙婄劇绐皬閲忕殑姣旇純 妤甸檺鐨勫洓鍓�
閬嬬畻 妤甸檺瀛樺湪鐨勫叐鍊嬫簴(zh菙n)鍓囷細鍠(di脿o)鏈夌晫婧�(zh菙n)鍓囧拰澶鹃€兼簴(zh菙n)鍓� 鍏╁€嬮噸瑕佹サ闄�:
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鍑芥暩(sh霉)閫ｇ簩(x霉)鐨勬蹇� 鍑芥暩(sh霉)闁撴柗榛炵殑椤炲瀷 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)
鑰冭│瑕佹眰
锛�1锛夌悊瑙ｅ嚱鏁�(sh霉)鐨勬蹇碉紝鎺屾彙鍑芥暩(sh霉)鐨勮〃绀烘硶锛屾渻寤虹珛鎳�(y墨ng)鐢ㄥ晱椤岀殑鍑芥暩(sh霉)闂�(gu膩n)绯�.
锛�2锛変簡瑙ｅ嚱鏁�(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э紟
锛�3锛夌悊瑙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)鐨勬蹇碉紟
锛�4锛夋帉鎻″熀鏈垵绛夊嚱鏁�(sh霉)鐨勬€ц唱(zh矛)鍙婂叾鍦栧舰锛屼簡瑙ｅ垵绛夊嚱鏁�(sh霉)鐨勬蹇�.
锛�5锛夌悊瑙ｆサ闄愮殑姒傚康锛岀悊瑙ｅ嚱鏁�(sh霉)宸︽サ闄愯垏鍙虫サ闄愮殑姒傚康浠ュ強鍑芥暩(sh霉)妤甸檺瀛樺湪鑸�
宸�銆佸彸妤甸檺涔嬮枔鐨勯棞(gu膩n)绯伙紟
锛�6锛夋帉鎻℃サ闄愮殑鎬ц唱(zh矛)鍙婂洓鍓囬亱绠楁硶鍓�.
锛�7锛夋帉鎻℃サ闄愬瓨鍦ㄧ殑鍏╁€嬫簴(zh菙n)鍓�锛屽苟鏈冨埄鐢ㄥ畠鍊戞眰妤甸檺锛屾帉鎻″埄鐢ㄥ叐鍊嬮噸瑕佹サ
闄愭眰妤甸檺鐨勬柟娉曪紟
锛�8锛夌悊瑙ｇ劇绐皬閲�銆佺劇绐ぇ閲忕殑姒傚康锛屾帉鎻＄劇绐皬閲忕殑姣旇純鏂规硶锛屾渻鐢ㄧ瓑鍍�
鐒＄灏忛噺姹傛サ闄愶紟
锛�9锛夌悊瑙ｅ嚱鏁�(sh霉)閫ｇ簩(x霉)鎬х殑姒傚康锛堝惈宸﹂€ｇ簩(x霉)鑸囧彸閫ｇ簩(x霉)锛�锛屾渻鍒ゅ垾鍑芥暩(sh霉)闁撴柗榛炵殑椤�
鍨嬶紟
锛�10锛変簡瑙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�锛岀悊瑙ｉ枆鍗€(q奴)闁撲笂閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€�
璩�(zh矛)锛堟湁鐣屾€�銆佹渶澶у€煎拰鏈€灏忓€煎畾鐞�銆佷粙鍊煎畾鐞嗭級锛屽苟鏈冩噳(y墨ng)鐢ㄩ€欎簺鎬ц唱(zh矛)锛�
2銆佷竴鍏冨嚱鏁�(sh霉)寰垎瀛�(xu茅)
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 灏�(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑鍥涘墖閬嬬畻 鍩烘湰鍒濈瓑鍑芥暩(sh霉)鐨�
灏�(d菐o)鏁�(sh霉) 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 楂橀殠灏�(d菐o)
鏁�(sh霉) 涓€闅庡井鍒嗗舰寮忕殑涓嶈畩鎬� 寰垎涓€煎畾鐞� 娲涘繀閬�(d谩)锛圠鈥橦ospital锛夋硶鍓� 鍑芥暩(sh霉)鍠�
瑾�(di脿o)鎬х殑鍒ゅ垾 鍑芥暩(sh霉)鐨勬サ鍊� 鍑芥暩(sh霉)鍦栧舰鐨勫嚬鍑告€�銆佹嫄榛炲強婕歌繎绶� 鍑芥暩(sh霉)鍦栧舰鐨勬弿绻�
鍑芥暩(sh霉)鐨勬渶澶у€艰垏鏈€灏忓€� 寮у井鍒�
鑰冭│瑕佹眰
锛�1锛夌悊瑙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�锛岀悊瑙ｅ皫(d菐o)鏁�(sh霉)鐨勫咕浣曟剰
缇�锛屾渻姹傚钩闈㈡洸绶氱殑鍒囩窔鏂圭▼鍜屾硶绶氭柟绋�锛屼簡瑙ｅ皫(d菐o)鏁�(sh霉)鐨勭墿鐞嗘剰缇╋紝鏈冪敤灏�(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)绯伙紟
锛�2锛夋帉鎻″皫(d菐o)鏁�(sh霉)鐨勫洓鍓囬亱绠楁硶鍓囧拰寰�(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)
鐨勫皫(d菐o)鏁�(sh霉)鍏紡锛庝簡瑙ｅ井鍒嗙殑鍥涘墖閬嬬畻娉曞墖鍜屼竴闅庡井鍒嗗舰寮忕殑涓嶈畩鎬э紝鏈冩眰鍑芥暩(sh霉)鐨勫井
鍒嗭紟
锛�3锛変簡瑙ｉ珮闅庡皫(d菐o)鏁�(sh霉)鐨勬蹇�锛屾渻姹傜啊鍠嚱鏁�(sh霉)鐨勯珮闅庡皫(d菐o)鏁�(sh霉)锛�
锛�4锛夋渻姹傚垎娈靛嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛屾渻姹傞毐鍑芥暩(sh霉)鍜岀敱鍙冩暩(sh霉)鏂圭▼鎵€纰哄畾鐨勫嚱鏁�(sh霉)浠ュ強鍙�
鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉).
锛�5锛夌悊瑙ｅ苟鏈冪敤缇呯埦(Rolle)瀹氱悊銆佹媺鏍兼湕鏃�(Lagrange)涓€煎畾鐞嗗拰娉板嫆
(Taylor)瀹氱悊锛屼簡瑙ｅ苟鏈冪敤鏌タ(Cauchy)涓€煎畾鐞嗭紟
锛�6锛夋帉鎻＄敤娲涘繀閬�(d谩)娉曞墖姹傛湭瀹氬紡妤甸檺鐨勬柟娉曪紟
锛�7锛夌悊瑙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€肩殑
鏂规硶锛屾帉鎻″嚱鏁�(sh霉)鏈€澶у€煎拰鏈€灏忓€肩殑姹傛硶鍙婂叾鎳�(y墨ng)鐢紟
锛�8锛夋渻鐢ㄥ皫(d菐o)鏁�(sh霉)鍒ゆ柗鍑芥暩(sh霉)鍦栧舰鐨勫嚬鍑告€э紙娉細鍦ㄥ崁(q奴)闁�( , )a b 鍏�(n猫i)锛岃ō(sh猫)鍑芥暩(sh霉) ( )f x 鍏�
鏈変簩闅庡皫(d菐o)鏁�(sh霉)銆傜暥(d膩ng) ( ) 0f x?? ? 鏅�锛� ( )f x 鐨勫湒褰㈡槸鍑圭殑锛涚暥(d膩ng) ( ) 0f x?? ? 鏅�锛� ( )f x 鐨勫湒褰�
鏄嚫鐨勶級锛屾渻姹傚嚱鏁�(sh霉)鍦栧舰鐨勬嫄榛炰互鍙婃按骞�銆侀墰鐩村拰鏂滄几杩戠窔锛屾渻鎻忕躬鍑芥暩(sh霉)鐨勫湒褰紟
3銆佷竴鍏冨嚱鏁�(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� 绌嶅垎涓婇檺鐨勫嚱鏁�(sh霉)鍙婂叾灏�(d菐o)鏁�(sh霉) 鐗涢爴-钀婂竷灏�
鑼紙Newton-Leibniz锛夊叕寮� 涓嶅畾绌嶅垎鍜屽畾绌嶅垎鐨勬彌鍏冪⿳鍒嗘硶鑸囧垎閮ㄧ⿳鍒嗘硶 鏈�
鐞嗗嚱鏁�(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)鐨勬湁鐞嗗紡鍜岀啊鍠劇鐞嗗嚱鏁�(sh霉)鐨勭⿳鍒� 鍙嶅父锛堝唬缇╋級绌嶅垎 瀹氱⿳鍒�
鐨勬噳(y墨ng)鐢�
鑰冭│瑕佹眰
锛�1锛夌悊瑙ｅ師鍑芥暩(sh霉)鐨勬蹇碉紝鐞嗚В涓嶅畾绌嶅垎鍜屽畾绌嶅垎鐨勬蹇碉紟
锛�2锛夋帉鎻′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�
鍊煎畾鐞嗭紝鎺屾彙鎻涘厓绌嶅垎娉曡垏鍒嗛儴绌嶅垎娉曪紟
锛�3锛夋渻姹傛湁鐞嗗嚱鏁�(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)鏈夌悊寮忓拰绨″柈鐒＄悊鍑芥暩(sh霉)鐨勭⿳鍒嗭紟
锛�4锛夌悊瑙ｇ⿳鍒嗕笂闄愮殑鍑芥暩(sh霉)锛屾渻姹傚畠鐨勫皫(d菐o)鏁�(sh霉)锛屾帉鎻＄墰闋�-钀婂竷灏艰尐鍏紡锛�
锛�5锛変簡瑙ｅ弽甯哥⿳鍒嗙殑姒傚康锛屾渻瑷堢畻鍙嶅父绌嶅垎锛�
锛�6锛夌啛绶存帉鎻＄敤瀹氱⿳鍒嗚〃閬�(d谩)鍜岃▓绠椾竴浜涘咕浣曢噺鍜岀墿鐞嗛噺锛堝骞抽潰鍦栧舰鐨勯潰
绌�銆佹棆杞�(zhu菐n)楂旂殑楂旂⿳鍜屽伌(c猫)闈㈢⿳銆佸钩琛屾埅闈㈤潰绌嶇偤宸茬煡鐨勭珛楂旂殑楂旂⿳銆佸钩闈㈡洸绶氱殑寮�
闀�銆佸鍔�銆佸姛銆佸紩鍔涚瓑锛夊強鍑芥暩(sh霉)鐨勫钩鍧囧€�.锛�
4銆佸父寰垎鏂圭▼
鑰冭│鍏�(n猫i)瀹�
甯稿井鍒嗘柟绋嬬殑鍩烘湰姒傚康 璁婇噺鍙垎闆㈢殑寰垎鏂圭▼ 榻婃寰垎鏂圭▼ 涓€闅庣窔
鎬у井鍒嗘柟绋� 浼姫鍒� 锛圔ernoulli锛夋柟绋� 鍏ㄥ井鍒嗘柟绋� 鍙敤绨″柈鐨勮畩閲忎唬鎻涙眰
瑙ｇ殑鏌愪簺寰垎鏂圭▼ 鍙檷闅庣殑楂橀殠寰垎鏂圭▼ 绶氭€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 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�
鏂圭▼ 绨″柈鐨勪簩闅庡父绯绘暩(sh霉)闈為綂娆＄窔鎬у井鍒嗘柟绋� 姝愭媺锛圗uler锛夋柟绋� 寰垎鏂圭▼鐨�
绨″柈鎳�(y墨ng)鐢�
鑰冭│瑕佹眰
锛�1锛変簡瑙ｅ井鍒嗘柟绋嬪強鍏堕殠銆佽В銆侀€氳В銆佸垵濮嬫浠跺拰鐗硅В绛夋蹇�.
锛�2锛夋帉鎻¤畩閲忓彲鍒嗛洟鐨勫井鍒嗘柟绋嬪強涓€闅庣窔鎬у井鍒嗘柟绋嬬殑瑙ｆ硶锛�
锛�3锛夋渻瑙ｉ綂娆″井鍒嗘柟绋�銆佷集鍔埄鏂圭▼鍜屽叏寰垎鏂圭▼锛屾渻鐢ㄧ啊鍠殑璁婇噺浠ｆ彌
瑙ｆ煇浜涘井鍒嗘柟绋嬶紟
锛�4锛夋渻鐢ㄩ檷闅庢硶瑙ｄ笅鍒楀舰寮忕殑寰垎鏂圭▼锛�
( )
( ), ( , )
n
y f x y f x y?? ?? ?
鍜� ( , )y f y y?? ?? 锛�
锛�5锛夌悊瑙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)锛�
锛�6锛夋帉鎻′簩闅庡父绯绘暩(sh霉)榻婃绶氭€у井鍒嗘柟绋嬬殑瑙ｆ硶锛屽苟鏈冭В鏌愪簺楂樹簬浜岄殠鐨勫父
绯绘暩(sh霉)榻婃绶氭€у井鍒嗘柟绋�.
锛�7锛夋渻瑙ｈ嚜鐢遍爡鐐哄闋呭紡銆佹寚鏁�(sh霉)鍑芥暩(sh霉)銆佹寮﹀嚱鏁�(sh霉)銆佷綑寮﹀嚱鏁�(sh霉)浠ュ強瀹冨€戠殑鍜�
鑸囩⿳鐨勪簩闅庡父绯绘暩(sh霉)闈為綂娆＄窔鎬у井鍒嗘柟绋嬶紟
锛�8锛夋渻瑙ｆ瓙鎷夋柟绋嬶紟
锛�9锛夋渻鐢ㄥ井鍒嗘柟绋嬭В姹轰竴浜涚啊鍠殑鎳�(y墨ng)鐢ㄥ晱椤岋紟
5銆佺劇绐礆鏁�(sh霉)
鑰冭│鍏�(n猫i)瀹�
甯告暩(sh霉)闋呯礆鏁�(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁ｇ殑姒傚康 鏀舵杺绱氭暩(sh霉)鐨勫拰鐨勬蹇� 绱氭暩(sh霉)鐨勫熀鏈€ц唱(zh矛)
鑸囨敹鏂傜殑蹇呰姊濅欢 骞句綍绱氭暩(sh霉)鑸� p 绱氭暩(sh霉)鍙婂叾鏀舵杺鎬� 姝ｉ爡绱氭暩(sh霉)鏀舵杺鎬х殑鍒ゅ垾娉�
浜ら尟绱氭暩(sh霉)鑸囪悐甯冨凹鑼ㄥ畾鐞� 浠绘剰闋呯礆鏁�(sh霉)鐨勭禃灏嶆敹鏂傝垏姊濅欢鏀舵杺 鍑芥暩(sh霉)闋呯礆鏁�(sh霉)鐨�
鏀舵杺鍩熻垏鍜屽嚱鏁�(sh霉)鐨勬蹇� 鍐礆鏁�(sh霉)鍙婂叾鏀舵杺鍗婂緫銆佹敹鏂傚崁(q奴)闁擄紙鎸囬枊鍗€(q奴)闁擄級鍜屾敹鏂傚煙
鍐礆鏁�(sh霉)鐨勫拰鍑芥暩(sh霉) 鍐礆鏁�(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″柈鍐礆鏁�(sh霉)鐨勫拰鍑芥暩(sh霉)鐨勬眰
娉� 鍒濈瓑鍑芥暩(sh霉)鐨勫啰绱氭暩(sh霉)灞曢枊寮� 鍑芥暩(sh霉)鐨勫倕閲岃憠锛團ourier锛夌郴鏁�(sh霉)鑸囧倕閲岃憠绱氭暩(sh霉) 鐙�
鍒╁厠闆凤紙Dirichlet锛夊畾鐞� 鍑芥暩(sh霉)鍦╗ , ]l l? 涓婄殑鍌呴噷钁夌礆鏁�(sh霉) 鍑芥暩(sh霉)鍦╗0, ]l 涓婄殑姝ｅ鸡绱�
鏁�(sh霉)鍜屼綑寮︾礆鏁�(sh霉)
鑰冭│瑕佹眰
锛�1锛夌悊瑙ｅ父鏁�(sh霉)闋呯礆鏁�(sh霉)鏀舵杺銆佺櫦(f膩)鏁ｄ互鍙婃敹鏂傜礆鏁�(sh霉)鐨勫拰鐨勬蹇�锛屾帉鎻＄礆鏁�(sh霉)鐨勫熀
鏈€ц唱(zh矛)鍙婃敹鏂傜殑蹇呰姊濅欢.
锛�2锛夋帉鎻″咕浣曠礆鏁�(sh霉)鑸� p
绱氭暩(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁ｇ殑姊濅欢.
锛�3锛夋帉鎻℃闋呯礆鏁�(sh霉)鏀舵杺鎬х殑姣旇純鍒ゅ垾娉曞拰姣斿€煎垽鍒ユ硶锛屾渻鐢ㄦ牴鍊煎垽鍒ユ硶.
锛�4锛夋帉鎻′氦閷礆鏁�(sh霉)鐨勮悐甯冨凹鑼ㄥ垽鍒ユ硶.
锛�5锛変簡瑙ｄ换鎰忛爡绱氭暩(sh霉)绲曞皪鏀舵杺鑸囨浠舵敹鏂傜殑姒傚康浠ュ強绲曞皪鏀舵杺鑸囨敹鏂傜殑闂�(gu膩n)
绯�.
锛�6锛変簡瑙ｅ嚱鏁�(sh霉)闋呯礆鏁�(sh霉)鐨勬敹鏂傚煙鍙婂拰鍑芥暩(sh霉)鐨勬蹇�.
锛�7锛夌悊瑙ｅ啰绱氭暩(sh霉)鏀舵杺鍗婂緫鐨勬蹇�銆佸苟鎺屾彙鍐礆鏁�(sh霉)鐨勬敹鏂傚崐寰戙€佹敹鏂傚崁(q奴)闁撳強
鏀舵杺鍩熺殑姹傛硶.
锛�8锛変簡瑙ｅ啰绱氭暩(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)锛堝拰鍑芥暩(sh霉)鐨勯€ｇ簩(x霉)鎬�銆侀€愰爡姹傚皫(d菐o)
鍜岄€愰爡绌嶅垎锛�锛屾渻姹備竴浜涘啰绱氭暩(sh霉)鍦ㄦ敹鏂傚崁(q奴)闁撳収(n猫i)鐨勫拰鍑芥暩(sh霉)锛屽苟鏈冪敱姝ゆ眰鍑烘煇浜涙暩(sh霉)闋�
绱氭暩(sh霉)鐨勫拰.
锛�9锛変簡瑙ｅ嚱鏁�(sh霉)灞曢枊鐐烘嘲鍕掔礆鏁�(sh霉)鐨勫厖鍒嗗繀瑕佹浠�.
锛�10锛夋帉鎻�
x
e 锛宻in x 锛宑os x 锛宭n(1 )x?
鍙�(1 )x
?
?
鐨勯亥鍏嬪嫗鏋楋紙Maclaurin锛夊睍闁�
寮�锛屾渻鐢ㄥ畠鍊戝皣涓€浜涚啊鍠嚱鏁�(sh霉)闁撴帴灞曢枊鐐哄啰绱氭暩(sh霉).
锛�11锛変簡瑙ｅ倕閲岃憠绱氭暩(sh霉)鐨勬蹇靛拰鐙勫埄鍏嬮浄鏀舵杺瀹氱悊锛屾渻灏囧畾缇╁湪[ , ]l l? 涓婄殑
鍑芥暩(sh霉)灞曢枊鐐哄倕閲岃憠绱氭暩(sh霉)锛屾渻灏囧畾缇╁湪[0, ]l 涓婄殑鍑芥暩(sh霉)灞曢枊鐐烘寮︾礆鏁�(sh霉)鑸囦綑寮︾礆鏁�(sh霉)锛�
鏈冨鍑哄倕閲岃憠绱氭暩(sh霉)鐨勫拰鍑芥暩(sh霉)鐨勮〃閬�(d谩)寮�.
6銆佸悜閲忎唬鏁�(sh霉)鍜岀┖闁撹В鏋愬咕浣�
鑰冭│鍏�(n猫i)瀹�
鍚戦噺鐨勬蹇� 鍚戦噺鐨勭窔鎬ч亱绠� 鍚戦噺鐨勬暩(sh霉)閲忕⿳鍜屽悜閲忕⿳ 鍚戦噺鐨勬贩鍚堢⿳
鍏╁悜閲忓瀭鐩�銆佸钩琛岀殑姊濅欢 鍏╁悜閲忕殑澶捐 鍚戦噺鐨勫潗妯�(bi膩o)琛ㄩ仈(d谩)寮忓強鍏堕亱绠� 鍠綅鍚�
閲� 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 骞抽潰鏂圭▼ 鐩寸窔鏂�
绋� 骞抽潰鑸囧钩闈€€佸钩闈㈣垏鐩寸窔銆佺洿绶氳垏鐩寸窔鐨勫ぞ瑙掍互鍙婂钩琛屻€佸瀭鐩寸殑姊濅欢 榛炲埌
骞抽潰鍜岄粸鍒扮洿绶氱殑璺濋洟 鐞冮潰 鏌遍潰 鏃嬭綁(zhu菐n)鏇查潰 甯哥敤鐨勪簩娆℃洸闈㈡柟绋嬪強鍏跺湒
褰� 绌洪枔鏇茬窔鐨勫弮鏁�(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�
鑰冭│瑕佹眰
锛�1锛夌悊瑙ｇ┖闁撶洿瑙掑潗妯�(bi膩o)绯�锛岀悊瑙ｅ悜閲忕殑姒傚康鍙婂叾琛ㄧず.
锛�2锛夋帉鎻″悜閲忕殑閬嬬畻锛堢窔鎬ч亱绠椼€佹暩(sh霉)閲忕⿳銆佸悜閲忕⿳銆佹贩鍚堢⿳锛�锛屼簡瑙ｅ叐鍊�
鍚戦噺鍨傜洿銆佸钩琛岀殑姊濅欢.
锛�3锛夌悊瑙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)寮忥紝鎺屾彙鐢ㄥ潗妯�(bi膩o)
琛ㄩ仈(d谩)寮忛€�(j矛n)琛屽悜閲忛亱绠楃殑鏂规硶.
锛�4锛夋帉鎻″钩闈㈡柟绋嬪拰鐩寸窔鏂圭▼鍙婂叾姹傛硶.
锛�5锛夋渻姹傚钩闈㈣垏骞抽潰銆佸钩闈㈣垏鐩寸窔銆佺洿绶氳垏鐩寸窔涔嬮枔鐨勫ぞ瑙�锛屽苟鏈冨埄鐢ㄥ钩
闈�銆佺洿绶氱殑鐩镐簰闂�(gu膩n)绯伙紙骞宠銆佸瀭鐩�銆佺浉浜ょ瓑锛夎В姹烘湁闂�(gu膩n)鍟忛.
锛�6锛夋渻姹傞粸鍒扮洿绶氫互鍙婇粸鍒板钩闈㈢殑璺濋洟.
锛�7锛変簡瑙ｆ洸闈㈡柟绋嬪拰绌洪枔鏇茬窔鏂圭▼鐨勬蹇�.
锛�8锛変簡瑙ｅ父鐢ㄤ簩娆℃洸闈㈢殑鏂圭▼鍙婂叾鍦栧舰锛屾渻姹傜啊鍠殑鏌遍潰鍜屾棆杞�(zhu菐n)鏇查潰鐨勬柟
绋�.
锛�9锛変簡瑙ｇ┖闁撴洸绶氱殑鍙冩暩(sh霉)鏂圭▼鍜屼竴鑸柟绋�.浜嗚В绌洪枔鏇茬窔鍦ㄥ潗妯�(bi膩o)骞抽潰涓婄殑鎶�
褰�锛屽苟鏈冩眰瑭叉姇褰辨洸绶氱殑鏂圭▼.
7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)鐨勬サ闄愯垏閫ｇ簩(x霉)鐨勬蹇� 鏈�
鐣岄枆鍗€(q奴)鍩熶笂澶氬厓閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛) 澶氬厓鍑芥暩(sh霉)鐨勫亸灏�(d菐o)鏁�(sh霉)鍜屽叏寰垎 鍏ㄥ井鍒嗗瓨鍦ㄧ殑
蹇呰姊濅欢鍜屽厖鍒嗘浠� 澶氬厓寰�(f霉)鍚堝嚱鏁�(sh霉)銆侀毐鍑芥暩(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� 绌洪枔鏇茬窔鐨勫垏绶氬拰娉曞钩闈� 鏇查潰鐨勫垏骞抽潰鍜屾硶绶� 澶氬厓鍑芥暩(sh霉)鐨勬サ鍊煎拰
姊濅欢妤靛€� 澶氬厓鍑芥暩(sh霉)鐨勬渶澶у€�銆佹渶灏忓€煎強鍏剁啊鍠噳(y墨ng)鐢�
鑰冭│瑕佹眰
锛�1锛夌悊瑙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�.
锛�2锛変簡瑙ｄ簩鍏冨嚱鏁�(sh霉)鐨勬サ闄愯垏閫ｇ簩(x霉)鐨勬蹇典互鍙婃湁鐣岄枆鍗€(q奴)鍩熶笂閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛).
锛�3锛夌悊瑙ｅ鍏冨嚱鏁�(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鍜屽叏寰垎鐨勬蹇�锛屾渻姹傚叏寰垎锛屼簡瑙ｅ叏寰垎瀛樺湪
鐨勫繀瑕佹浠跺拰鍏呭垎姊濅欢锛屼簡瑙ｅ叏寰垎褰㈠紡鐨勪笉璁婃€�.
锛�4锛夌悊瑙ｆ柟鍚�?q奴)顫�?sh霉)鑸囨搴︾殑姒傚康锛屽苟鎺屾彙鍏惰▓绠楁柟娉�.
锛�5锛夋帉鎻″鍏冨京(f霉)鍚堝嚱鏁�(sh霉)涓€闅�銆佷簩闅庡亸灏�(d菐o)鏁�(sh霉)鐨勬眰娉�.
锛�6锛変簡瑙ｉ毐鍑芥暩(sh霉)瀛樺湪瀹氱悊锛屾渻姹傚鍏冮毐鍑芥暩(sh霉)鐨勫亸灏�(d菐o)鏁�(sh霉).
锛�7锛変簡瑙ｇ┖闁撴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�锛屾渻姹傚畠
鍊戠殑鏂圭▼.
锛�8锛夌悊瑙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
姊濅欢锛屼簡瑙ｄ簩鍏冨嚱鏁�(sh霉)妤靛€煎瓨鍦ㄧ殑鍏呭垎姊濅欢锛屾渻姹備簩鍏冨嚱鏁�(sh霉)鐨勬サ鍊�锛屾渻鐢ㄦ媺鏍兼湕鏃�
涔樻暩(sh霉)娉曟眰姊濅欢妤靛€硷紝鏈冩眰绨″柈澶氬厓鍑芥暩(sh霉)鐨勬渶澶у€煎拰鏈€灏忓€�锛屽苟鏈冭В姹轰竴浜涚啊鍠殑
鎳�(y墨ng)鐢ㄥ晱椤�.
8銆佸鍏冨嚱鏁�(sh霉)绌嶅垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
浜岄噸绌嶅垎鑸囦笁閲嶇⿳鍒嗙殑姒傚康銆佹€ц唱(zh矛)銆佽▓绠楀拰鎳�(y墨ng)鐢� 鍏╅鏇茬窔绌嶅垎鐨勬蹇点€佹€�
璩�(zh矛)鍙婅▓绠� 鍏╅鏇茬窔绌嶅垎鐨勯棞(gu膩n)绯� 鏍兼灄锛圙reen锛夊叕寮� 骞抽潰鏇茬窔绌嶅垎鑸囪矾寰戠劇
闂�(gu膩n)鐨勬浠� 浜屽厓鍑芥暩(sh霉)鍏ㄥ井鍒嗙殑鍘熷嚱鏁�(sh霉) 鍏╅鏇查潰绌嶅垎鐨勬蹇�銆佹€ц唱(zh矛)鍙婅▓绠� 鍏╅
鏇查潰绌嶅垎鐨勯棞(gu膩n)绯� 楂樻柉锛圙auss锛夊叕寮� 鏂墭鍏嬫柉锛圫tokes)鍏紡 鏇茬窔绌嶅垎鍜屾洸
闈㈢⿳鍒嗙殑鎳�(y墨ng)鐢�
鑰冭│瑕佹眰
锛�1锛夌悊瑙ｄ簩閲嶇⿳鍒嗐€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�
鐨勪腑鍊煎畾鐞�.
锛�2锛夋帉鎻′簩閲嶇⿳鍒嗙殑瑷堢畻鏂规硶锛堢洿瑙掑潗妯�(bi膩o)銆佹サ鍧愭(bi膩o)锛�锛屾渻瑷堢畻涓夐噸绌嶅垎锛堢洿
瑙掑潗妯�(bi膩o)銆佹煴闈㈠潗妯�(bi膩o)銆佺悆闈㈠潗妯�(bi膩o)锛�.
锛�3锛夌悊瑙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�
鐨勯棞(gu膩n)绯�.
锛�4锛夋帉鎻¤▓绠楀叐椤炴洸绶氱⿳鍒嗙殑鏂规硶.
锛�5锛夋帉鎻℃牸鏋楀叕寮忓苟鏈冮亱鐢ㄥ钩闈㈡洸绶氱⿳鍒嗚垏璺緫鐒￠棞(gu膩n)鐨勬浠讹紝鏈冩眰浜屽厓鍑�
鏁�(sh霉)鍏ㄥ井鍒嗙殑鍘熷嚱鏁�(sh霉).
锛�6锛変簡瑙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)绯伙紝鎺屾彙瑷堢畻鍏�
椤炴洸闈㈢⿳鍒嗙殑鏂规硶锛屾帉鎻＄敤楂樻柉鍏紡瑷堢畻鏇查潰绌嶅垎鐨勬柟娉�锛屽苟鏈冪敤鏂墭鍏嬫柉鍏紡
瑷堢畻鏇茬窔绌嶅垎.
锛�7锛夋渻鐢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锛堝钩闈㈠湒褰�
鐨勯潰绌嶃€侀珨绌�銆佹洸闈㈤潰绌�銆佸姬闀�銆佽唱(zh矛)閲�銆佽唱(zh矛)蹇冦€�銆佸舰蹇�銆佽綁(zhu菐n)鍕曟叄閲�銆佸紩鍔�銆佸姛鍙�
娴侀噺绛夛級.
锛堜簩锛夌窔鎬т唬鏁�(sh霉)
1銆佽鍒楀紡
鑰冭│鍏�(n猫i)瀹�
顥ヮ棩琛屽垪寮忕殑姒傚康鑸囧熀鏈€ц唱(zh矛) 琛屽垪寮忔寜琛岋紙鍒楋級灞曢枊 鍏嬫媺榛樻硶鍓�
鑰冭│瑕佹眰
锛�1锛変簡瑙ｈ鍒楀紡鐨勬蹇�锛屾帉鎻¤鍒楀紡鐨勬€ц唱(zh矛)锛�
锛�2锛夌煡閬撲唬鏁�(sh霉)浣欏瓙寮忕殑瀹氱京鍙婃€ц唱(zh矛).
锛�3锛夋渻鎳�(y墨ng)鐢ㄨ鍒楀紡鐨勬€ц唱(zh矛)鍜岃鍒楀紡鎸夎锛堝垪锛夊睍闁嬪畾鐞嗚▓绠楄鍒楀紡锛�
锛�4锛夌煡閬撳厠鎷夐粯娉曞墖.
2銆佺煩闄ｅ強鍏堕亱绠�
鑰冭│鍏�(n猫i)瀹�
顥ヮ棩顥ョ煩闄ｇ殑姒傚康 鐭╅櫍鐨勯亱绠楀強閬嬬畻瑕�(gu墨)寰� 閫嗙煩闄ｇ殑姒傚康鍜屾€ц唱(zh矛) 鍒嗗鐭╅櫍
鍙婂叾閬嬬畻 鐭╅櫍鍙€嗙殑鍏呭垎蹇呰姊濅欢 浼撮毃鐭╅櫍
鑰冭│瑕佹眰
顥ワ紙1锛夌悊瑙ｇ煩闄ｇ殑姒傚康锛岀煡閬撳柈浣嶇煩闄�銆佹暩(sh霉)閲忕煩闄ｃ€佸皪瑙掔煩闄�銆佷笁瑙掔煩闄�銆佸皪
绋辩煩闄ｅ拰鍙嶅皪绋辩煩闄ｄ互鍙婂畠鍊戠殑鎬ц唱(zh矛)锛�
锛�2锛夋帉鎻＄煩闄ｇ殑绶氭€ч亱绠椼€佷箻娉�銆佽綁(zhu菐n)缃互鍙婂畠鍊戠殑閬嬬畻瑕�(gu墨)寰�锛屾柟闄ｄ箻绌嶇殑琛�
鍒楀紡鐨勬€ц唱(zh矛).
锛�3锛夌悊瑙ｉ€嗙煩闄ｇ殑姒傚康锛屾帉鎻￠€嗙煩闄ｇ殑鎬ц唱(zh矛)浠ュ強鐭╅櫍鍙€嗙殑鍏呭垎蹇呰姊濅欢锛�
鐞嗚В浼撮毃鐭╅櫍鐨勬蹇碉紝鏈冪敤浼撮毃鐭╅櫍姹傞€嗙煩闄ｏ紟
锛�4锛夌煡閬撳垎濉婄煩闄ｅ強鍏堕亱绠楄(gu墨)寰�锛岀啛鎮夌煩闄ｇ殑琛屽悜閲忕祫鑸囧垪鍚戦噺绲勶紟
3銆佺煩闄ｇ殑鍒濈瓑璁婃彌鑸囩窔鎬ф柟绋嬬祫
鑰冭│鍏�(n猫i)瀹�
鐭╅櫍鐨勭瓑鍍� 鐭╅櫍鐨勫垵绛夎畩鎻涚殑鎬ц唱(zh矛)鑸囬亱鐢� 鐭╅櫍鐨勭З 绶氭€ф柟绋嬬祫鐨勮В
鑰冭│瑕佹眰
锛�1锛夌啛绶存帉鎻＄敤鍒濈瓑琛岃畩鎻涙妸鐭╅櫍鍖栨垚琛岄殠姊枊鍜岃鏈€绨″舰锛涚煡閬撶煩闄ｇ瓑鍍�
鐨勬蹇�.鎺屾彙鐢ㄥ垵绛夎畩鎻涙眰鍙€嗙煩闄ｇ殑閫嗙煩闄ｇ殑鏂规硶锛�
锛�2锛夌悊瑙ｇ煩闄ｇ殑绉╃殑姒傚康锛屼簡瑙ｅ垵绛夎畩鎻涗笉鏀硅畩鐭╅櫍鐨勭З鐨勫師鐞�锛屾帉鎻＄敤鍒�
绛夎畩鎻涙眰鐭╅櫍鐨勭З鐨勬柟娉曪紟浜嗚В鐭╅櫍鐨勬(bi膩o)婧�(zh菙n)褰㈣垏绉╃殑闂�(gu膩n)绯诲拰鐭╅櫍绉╃殑鍩烘湰鎬ц唱(zh矛).
锛�3锛夌悊瑙ｇ窔鎬ф柟绋嬬祫鐒¤В銆佹湁鎯熶竴瑙ｆ垨鏈夐檺澶氬€嬭В鐨勫厖瑕佹浠�.
锛�4锛夌啛绶存帉鎻＄敤鐭╅櫍鍒濈瓑琛岃畩鎻涙眰瑙ｇ窔鎬ф柟绋嬬祫鐨勬柟娉�.
锛�5锛変簡瑙ｇ煩闄ｆ柟绋� AX锛滲 鏈夎В鐨勫厖瑕佹浠跺強蹇呰姊濅欢.
4銆佸悜閲忕祫鐨勭窔鎬х浉闂�(gu膩n)鎬�
鑰冭│鍏�(n猫i)瀹�
鍚戦噺绲勫強鍏剁窔鎬х祫鍚� 鍚戦噺绲勭殑绶氭€х浉闂�(gu膩n)鎬� 鍚戦噺绲勭殑绉� 绶氭€ф柟绋嬬祫鐨勮В
鐨勭祼(ji茅)妲�(g貌u) 鍚戦噺绌洪枔
鑰冭│瑕佹眰
锛�1锛夌悊瑙� n 缍悜閲忕殑姒傚康锛岀悊瑙ｅ悜閲忕祫鐨勬蹇靛強鍚戦噺绲勮垏鐭╅櫍鐨勫皪鎳�(y墨ng)锛�
锛�2锛夌悊瑙ｅ悜閲忕祫绶氭€х浉闂�(gu膩n)銆佺窔鎬х劇闂�(gu膩n)鐨勬蹇�锛屾帉鎻″悜閲忕祫绶氭€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)鍙婂垽鍒ユ硶锛�
锛�3锛夌悊瑙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╃殑姒傚康锛屾渻姹傚悜閲忕祫鐨勬サ澶�
绶氭€х劇闂�(gu膩n)绲勫強绉╋紟
锛�4锛夌悊瑙ｅ悜閲忕祫绛夊児鐨勬蹇�锛岀悊瑙ｇ煩闄ｇ殑绉╄垏鍏惰(鍒�)鍚戦噺绲勭殑绉╀箣闁撶殑闂�(gu膩n)
绯�.
锛�5锛夌悊瑙ｉ綂娆＄窔鎬ф柟绋嬬祫鐨勫熀绀�(ch菙)瑙ｇ郴鐨勬蹇靛強绯绘暩(sh霉)鐭╅櫍鐨勭З鑸囧叏楂旇В鍚戦噺鐨�
绉╀箣闁撶殑闂�(gu膩n)绯�锛岀啛鎮夊熀绀�(ch菙)瑙ｇ郴鐨勬眰娉�.鐞嗚В闈為綂娆＄窔鎬ф柟绋嬬祫閫氳В鐨勬(g貌u)閫�.
锛�6锛夌煡閬撳悜閲忕┖闁撱€佸悜閲忕┖闁撶殑鍩哄拰缍�銆佸悜閲忕敓鎴愮┖闁�銆侀綂娆＄窔鎬ф柟绋嬬祫鐨�
瑙ｇ┖闁撶瓑姒傚康.鏈冩眰鍚戦噺鍦ㄤ竴鍊嬪熀涓殑鍧愭(bi膩o).
5銆佺浉浼肩煩闄ｅ強浜屾鍨�
鑰冭│鍏�(n猫i)瀹�
鍚戦噺鐨勫収(n猫i)绌嶃€侀暦搴﹀強姝ｄ氦鎬� 鏂归櫍鐨勭壒寰佸€艰垏鐗瑰緛鍚戦噺 鐩镐技鐭╅櫍 灏嶇ū鐭╅櫍鐨�
灏嶈鍖� 浜屾鍨嬪強鍏舵(bi膩o)婧�(zh菙n)褰� 鐢ㄩ厤鏂规硶鍖栦簩娆″瀷鎴愭(bi膩o)婧�(zh菙n)褰� 姝ｅ畾浜屾鍨�
鑰冭│瑕佹眰
锛�1锛変簡瑙ｅ悜閲忕殑鍏�(n猫i)绌�銆侀暦搴︺€佷笅浜�銆佽(gu墨)鑼冩浜ゅ熀銆佹浜ょ煩闄ｇ瓑姒傚康锛岀煡閬撴柦
瀵嗙壒涓嬩氦鍖栨柟娉�.
锛�2锛夌悊瑙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)锛屾帉鎻＄煩闄ｇ殑鐗瑰緛鍊煎拰鐗瑰緛
鍚戦噺鐨勬眰娉�.
锛�3锛変簡瑙ｇ浉浼肩煩闄ｇ殑姒傚康銆佹€ц唱(zh矛)锛屼簡瑙ｇ煩闄ｅ彲鐩镐技灏嶈鍖栫殑鍏呭垎蹇呰姊濅欢.
锛�4锛変簡瑙ｅ灏嶇ū鐭╅櫍鐨勭壒寰佸€煎拰鐗瑰緛鍚戦噺鐨勬€ц唱(zh矛)锛屾帉鎻″埄鐢ㄦ浜ょ煩闄ｅ皣灏嶇ū
鐭╅櫍鍖栫偤灏嶈闄ｇ殑鏂规硶.
锛�5锛夌啛鎮変簩娆″瀷鍙婂叾鐭╅櫍琛ㄧず锛岀煡閬撲簩娆″瀷鐨勭З.鎺屾彙鐢ㄦ浜よ畩鎻涙妸浜屾鍨嬪寲
鐐烘(bi膩o)婧�(zh菙n)褰㈢殑鏂规硶.
锛�6锛夋渻鐢ㄩ厤鏂规硶鍖栦簩娆″瀷鐐烘(bi膩o)婧�(zh菙n)褰�锛岀煡閬撴叄鎬у畾鐞嗭紟
锛�7锛夌煡閬撲簩娆″瀷鐨勬瀹氭€у強鍏跺垽鍒ユ硶.
6銆佺窔鎬х┖闁撹垏绶氭€ц畩鎻�
鑰冭│鍏�(n猫i)瀹�
绶氭€х┖闁撶殑瀹氱京鑸囨€ц唱(zh矛) 缍暩(sh霉)銆佸熀鑸囧潗妯�(bi膩o) 鍩鸿畩鎻涜垏鍧愭(bi膩o)璁婃彌 绶氭€ц畩鎻� 绶氭€ц畩
鎻涚殑鐭╅櫍琛ㄧず寮�
鑰冭│瑕佹眰
锛�1锛変簡瑙ｇ窔鎬х┖闁撶殑姒傚康锛屼簡瑙ｇ窔鎬х┖闁撶殑鍩鸿垏缍暩(sh霉)锛屼簡瑙ｅ潗妯�(bi膩o)鐨勬蹇靛強 n
缍窔鎬х┖闁� Vn 鑸囨暩(sh霉)绲勫悜閲忕┖闁� Rn
鍚屾(g貌u)鐨勫師鐞�銆傜煡閬撳熀璁婃彌鑸囧潗妯�(bi膩o)璁婃彌鐨勫師鐞�.
锛�2锛変簡瑙ｇ窔鎬ц畩鎻涚殑姒傚康锛岀煡閬撶窔鎬х┖闁撹畩鎻涚殑鍍忕┖闁撹垏鏍�銆傛渻姹傜窔鎬ц畩鎻�
鐨勭煩闄�锛岀煡閬撶窔鎬ц畩鎻涘湪涓嶅悓鍩轰腑鐨勭煩闄ｅ郊姝ょ浉浼�锛岀煡閬撶窔鎬х殑绉�.
涓夈€佸弮鑰冩浉鐩�
[1] 銆婇珮绛夋暩(sh霉)瀛�(xu茅)銆嬩笂鍐�銆佷笅鍐婏紝婀栧崡甯寖澶у(xu茅)鏁�(sh霉)瀛�(xu茅)鑸囪▓绠楁绉戝(xu茅)瀛�(xu茅)闄㈢祫绶�锛屾箹鍗�
甯寖澶у(xu茅)鍑虹増绀惧嚭鐗�锛�2006
[2] 銆婇珮绛夋暩(sh霉)瀛�(xu茅)銆嬩笂鍐�銆佷笅鍐�锛屽悓婵�(j矛)澶у(xu茅)鏁�(sh霉)瀛�(xu茅)绯伙紝楂樼瓑鏁欒偛鍑虹増绀�锛�2007
[3]銆婄窔鎬т唬鏁�(sh霉)銆嬶紝 鍚屾繜(j矛)澶у(xu茅)鏁�(sh霉)瀛�(xu茅)绯�锛岄珮绛夋暀鑲插嚭鐗堢ぞ, 2007
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
