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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�鈥� 涓嬭級
鑰冭│绉戠洰
楂樼瓑鏁�(sh霉)瀛�(xu茅)銆佺窔鎬т唬鏁�(sh霉)
楂樼瓑鏁�(sh霉)瀛�(xu茅)
鍑芥暩(sh霉)銆佹サ闄�銆侀€ｇ簩(x霉)
鑰冭│瑕佹眰
1. 浜嗚В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э紟
2. 鐞嗚В寰�(f霉)鍚堝嚱鏁�(sh霉)鍙婂垎娈靛嚱鏁�(sh霉)鐨勬蹇典簡瑙ｅ弽鍑芥暩(sh霉)鍙婇毐鍑芥暩(sh霉)鐨勬蹇�
3. 鎺屾彙鍩烘湰鍒濈瓑鍑芥暩(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)鐨勬蹇碉紟
4. 鐞嗚В妤甸檺鐨勬蹇�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)妤甸檺瀛樺湪鑸囧乏銆佸彸妤甸檺
涔嬮枔鐨勯棞(gu膩n)绯伙紟
5. 鎺屾彙妤甸檺鐨勬€ц唱(zh矛)鍙婂洓鍓囬亱(y霉n)绠楁硶鍓�
6. 鎺屾彙妤甸檺瀛樺湪鐨勫叐鍊�(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)閲嶈妤甸檺姹傛サ闄愮殑
鏂规硶锛�
7. 鐞嗚В鐒＄灏忛噺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(hu矛)鐢ㄧ瓑鍍�(ji脿)鐒＄灏忛噺姹�
妤甸檺锛�
8. 鐞嗚В鍑芥暩(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(hu矛)鍒ゅ垾鍑芥暩(sh霉)闁撴柗榛�(di菐n)鐨勯鍨嬶紟
9. 浜嗚В閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)鍜屽垵绛夊嚱鏁�(sh霉)涓€鐨勯€ｇ簩(x霉)鎬э紝鐞嗚В闁夊崁(q奴)闁撲笂閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)锛堟湁鐣�
鎬�銆佹渶澶у€煎拰鏈€灏忓€煎畾鐞嗐€佷粙鍊煎畾鐞嗭級锛屽苟鏈�(hu矛)鎳�(y墨ng)鐢ㄩ€欎簺鎬ц唱(zh矛)锛�
涓€鍏冨嚱鏁�(sh霉)寰垎瀛�(xu茅)
鑰冭│瑕佹眰
1. 鐞嗚В灏�(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑姒傚康,鐞嗚В灏�(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑闂�(gu膩n)绯伙紝鐞嗚В灏�(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇�锛屾渻(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鐞嗚В鍑芥暩(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
2. 鎺屾彙灏�(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)鐨勫皫(d菐o)鏁�(sh霉)鍏紡锛庝簡
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)鐨勫井鍒嗭紟
3. 浜嗚В楂橀殠灏�(d菐o)鏁�(sh霉)鐨勬蹇�锛屾渻(hu矛)姹傜啊(ji菐n)鍠嚱鏁�(sh霉)鐨勯珮闅庡皫(d菐o)鏁�(sh霉)锛�
4. 鏈�(hu矛)姹傚垎娈靛嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛屾渻(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)浠ュ強鍙嶅嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛�
5. 鐞嗚В骞舵渻(hu矛)鐢ㄧ緟鐖撅紙Rolle锛夊畾鐞�銆佹媺鏍兼湕鏃ワ紙Lagrange锛変腑鍊煎畾鐞嗗拰娉板嫆锛圱aylor锛�
瀹氱悊锛屼簡瑙ｅ苟鏈�(hu矛)鐢ㄦ煰瑗�( Cauchy 锛変腑鍊煎畾鐞嗭紟
6. 鎺屾彙鐢ㄦ礇蹇呴仈(d谩)娉曞墖姹傛湭瀹氬紡妤甸檺鐨勬柟娉曪紟
7. 鐞嗚В鍑芥暩(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
8. 鏈�(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€�锛屾渻(hu矛)姹傚嚱鏁�(sh霉)鍦栧舰鐨勬嫄榛�(di菐n)浠ュ強姘村钩銆侀墰鐩存几杩戠窔
9. 浜嗚В鏇茬巼銆佹洸鐜囧湏鍜屾洸鐜囧崐寰戠殑姒傚康锛屾渻(hu矛)瑷�(j矛)绠楁洸鐜囧拰鏇茬巼鍗婂緫锛�
涓€鍏冨嚱鏁�(sh霉)绌嶅垎瀛�(xu茅)
鑰冭│瑕佹眰
1. 鐞嗚В鍘熷嚱鏁�(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
2. 鎺屾彙涓嶅畾绌嶅垎鐨勫熀鏈叕寮�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€煎畾鐞�锛屾帉鎻�
鎻涘厓绌嶅垎娉曡垏鍒嗛儴绌嶅垎娉曪紟
3. 鏈�(hu矛)姹傛湁鐞嗗嚱鏁�(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)鏈夌悊寮忓拰绨�(ji菐n)鍠劇鐞嗗嚱鏁�(sh霉)鐨勭⿳鍒嗭紟
4. 鐞嗚В绌嶅垎涓婇檺鐨勫嚱鏁�(sh霉)锛屾渻(hu矛)姹傚畠鐨勫皫(d菐o)鏁�(sh霉)锛屾帉鎻＄墰闋撲竴钀婂竷灏艰尐鍏紡锛�
5. 浜嗚В鍙嶅父绌嶅垎鐨勬蹇碉紝鏈�(hu矛)瑷�(j矛)绠楀弽甯哥⿳鍒嗭紟
6. 鎺屾彙鐢ㄥ畾绌嶅垎琛ㄩ仈(d谩)鍜岃▓(j矛)绠椾竴浜涘咕浣曢噺锛堝钩闈㈠湒褰㈢殑闈㈢⿳銆佸钩闈㈡洸绶氱殑寮ч暦銆佹棆杞�(zhu菐n)楂�
鐨勯珨绌嶅強鍋�(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嶇瓑锛夛紟
澶氬厓鍑芥暩(sh霉)寰⿳鍒嗗(xu茅)
鑰冭│瑕佹眰
1. 浜嗚В澶氬厓鍑芥暩(sh霉)鐨勬蹇�锛屼簡瑙ｄ簩鍏冨嚱鏁�(sh霉)鐨勫咕浣曟剰缇╋紟
2. 浜嗚В浜屽厓鍑芥暩(sh霉)鐨勬サ闄愯垏閫ｇ簩(x霉)鐨勬蹇碉紝浜嗚В鏈夌晫闁夊崁(q奴)鍩熶笂浜屽厓閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)锛�
3. 鐞嗚В澶氬厓鍑芥暩(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鑸囧叏寰垎鐨勬蹇�锛屾渻(hu矛)姹傚鍏冨京(f霉)鍚堝嚱鏁�(sh霉)涓€闅�銆佷簩闅庡亸灏�(d菐o)鏁�(sh霉)锛屾渻(hu矛)姹�
鍏ㄥ井鍒�锛屼簡瑙ｉ毐鍑芥暩(sh霉)瀛樺湪瀹氱悊锛屾渻(hu矛)姹傚鍏冮毐鍑芥暩(sh霉)鐨勫亸灏�(d菐o)鏁�(sh霉)锛�
4. 鐞嗚В澶氬厓鍑芥暩(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殑蹇呰姊濅欢锛岀悊瑙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媺鏍兼湕鏃ヤ箻鏁�(sh霉)娉曟眰姊濅欢妤靛€�锛屾渻(hu矛)姹�
绨�(ji菐n)鍠鍏冨嚱鏁�(sh霉)鐨勬渶澶у€煎拰鏈€灏忓€硷紝骞舵眰瑙ｄ竴浜涚啊(ji菐n)鍠殑鎳�(y墨ng)鐢ㄥ晱椤岋紟
5. 浜嗚В浜岄噸绌嶅垎鐨勬蹇佃垏鍩烘湰鎬ц唱(zh矛)锛屾帉鎻′簩閲嶇⿳鍒嗙殑瑷�(j矛)绠楁柟娉曪紙鐩磋鍧愭(bi膩o)銆佹サ鍧愭(bi膩o)锛夛紟
甯稿井鍒嗘柟绋�
鑰冭│瑕佹眰
1. 浜嗚В寰垎鏂圭▼鍙婂叾闅�銆佽В銆侀€氳В銆佸垵濮嬫浠跺拰鐗硅В绛夋蹇碉紟
2. 鎺屾彙璁婇噺鍙垎闆㈢殑寰垎鏂圭▼鍙婁竴闅庣窔鎬у井鍒嗘柟绋嬬殑瑙ｆ硶锛屾渻(hu矛)瑙ｉ綂娆″井鍒嗘柟绋�
3. 鐞嗚В浜岄殠绶氭€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)瀹氱悊锛�
4. 鎺屾彙浜岄殠甯哥郴鏁�(sh霉)榻婃绶氭€у井鍒嗘柟绋嬬殑瑙ｆ硶.
5. 鏈�(hu矛)瑙ｈ嚜鐢遍爡(xi脿ng)鐐哄闋�(xi脿ng)寮忋€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€戠殑鍜岃垏绌嶇殑浜岄殠甯�
绯绘暩(sh霉)闈為綂娆＄窔鎬у井鍒嗘柟绋嬶紟
6. 鏈�(hu矛)鐢ㄥ井鍒嗘柟绋嬭В姹轰竴浜涚啊(ji菐n)鍠殑鎳�(y墨ng)鐢ㄥ晱椤岋紟
鑰冭│鍏�(n猫i)瀹逛箣绶氭€т唬鏁�(sh霉)
琛屽垪寮�
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)锛�
2锛庢渻(hu矛)鎳�(y墨ng)鐢ㄨ鍒楀紡鐨勬€ц唱(zh矛)鍜岃鍒楀紡鎸夎锛堝垪锛夊睍闁嬪畾鐞嗚▓(j矛)绠楄鍒楀紡锛�
鐭╅櫍
鑰冭│瑕佹眰
1锛庣悊瑙ｇ煩闄ｇ殑姒傚康锛屼簡瑙ｅ柈浣嶇煩闄�銆佹暩(sh霉)閲忕煩闄�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�銆佸弽
灏�(du矛)绋辩煩闄ｅ拰姝ｄ氦鐭╅櫍浠ュ強瀹冨€戠殑鎬ц唱(zh矛)锛�
2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)缃互鍙婂畠鍊戠殑閬�(y霉n)绠楄(gu墨)寰嬶紝浜嗚В鏂归櫍鐨勫啰鑸囨柟闄ｄ箻绌�
鐨勮鍒楀紡鐨勬€ц唱(zh矛)锛�
3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)浠ュ強鐭╅櫍鍙€嗙殑鍏呭垎蹇呰姊濅欢锛庣悊瑙ｄ即闅ㄧ煩
闄ｇ殑姒傚康锛屾渻(hu矛)鐢ㄤ即闅ㄧ煩闄ｆ眰閫嗙煩闄ｏ紟
4锛庝簡瑙ｇ煩闄ｅ垵绛夎畩鎻涚殑姒傚康锛屼簡瑙ｅ垵绛夌煩闄ｇ殑鎬ц唱(zh矛)鍜岀煩闄ｇ瓑鍍�(ji脿)鐨勬蹇碉紝鐞嗚В鐭╅櫍鐨勭З
鐨勬蹇�锛屾帉鎻＄敤鍒濈瓑璁婃彌姹傜煩闄ｇ殑绉╁拰閫嗙煩闄ｇ殑鏂规硶锛�
5锛庝簡瑙ｅ垎濉婄煩闄ｅ強鍏堕亱(y霉n)绠楋紟
鍚戦噺 鑰冭│瑕佹眰
1锛庣悊瑙� n 缍悜閲�銆佸悜閲忕殑绶氭€х祫鍚堣垏绶氭€ц〃绀虹殑姒傚康锛�
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�
璩�(zh矛)鍙婂垽鍒ユ硶锛�
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х窔鎬х劇闂�(gu膩n)绲�
鍙婄З锛�
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