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1. 鐞嗚В鍜屾帉鎻″嚱鏁�(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�銆�
2. 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�銆�
3. 鐞嗚В寰�(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)鐨勬蹇点€�
4. 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�銆�
5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�銆�
6锛庢帉鎻℃サ闄愬瓨鍦ㄧ殑鍏╁€嬫簴(zh菙n)鍓囷紝骞舵渻鍒╃敤瀹冨€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曘€�
7锛庣悊瑙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瓑鍍圭劇绐皬閲忔眰妤甸檺銆�
8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�锛岀悊瑙ｉ枆鍗€(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
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绗簩绔� 灏�(d菐o)鏁�(sh霉)鑸囧井鍒�
1. 鐞嗚В灏�(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╋紝鐞嗚В鍑芥暩(sh霉)鐨勫彲灏�(d菐o)鎬�
鑸囬€ｇ簩(x霉)鎬т箣闁撶殑闂�(gu膩n)绯�銆�
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)鍏紡銆備簡瑙ｅ井鍒�
鐨勫洓鍓囬亱(y霉n)绠楁硶鍓囧拰涓€闅庡井鍒嗗舰寮忕殑涓嶈畩鎬�锛屾渻姹傚嚱鏁�(sh霉)鐨勫井鍒�銆�
3. 浜嗚В楂橀殠灏�(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)銆�
绗笁绔� 涓€煎畾鐞嗚垏灏�(d菐o)鏁�(sh霉)鐨勬噳(y墨ng)鐢�
1. 鐞嗚В骞舵渻鐢ㄧ緟鐖�(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�
瑗�(Cauchy)涓€煎畾鐞�銆�
2. 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�銆�
3. 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€�
鍜屾渶灏忓€肩殑姹傛硶鍙婂叾鎳�(y墨ng)鐢�銆�
4. 鏈冪敤灏�(d菐o)鏁�(sh霉)鍒ゆ柗鍑芥暩(sh霉)鍦栧舰鍑瑰嚫鎬�锛屾渻姹傚嚱鏁�(sh霉)鍦栧舰鐨勬嫄榛�(di菐n)銆�
绗洓绔� 涓嶅畾绌嶅垎
1. 鐞嗚В鍘熷嚱鏁�(sh霉)鐨勬蹇碉紝鐞嗚В涓嶅畾绌嶅垎鐨勬蹇�銆�
2. 鎺屾彙涓嶅畾绌嶅垎鐨勫熀鏈叕寮�锛屾帉鎻′笉瀹氱⿳鍒嗙殑鎬ц唱(zh矛)鎻涘厓绌嶅垎娉曡垏鍒嗛儴绌嶅垎娉�銆�
绗簲绔� 瀹氱⿳鍒嗗強鍏舵噳(y墨ng)鐢�
1. 鐞嗚В瀹氱⿳鍒嗙殑姒傚康鍜屾剰缇┿€�
2. 鎺屾彙瀹氱⿳鍒嗙殑鎬ц唱(zh矛)锛屾彌鍏冪⿳鍒嗘硶鑸囧垎閮ㄧ⿳鍒嗘硶銆�
3. 鐞嗚В绌嶅垎涓婇檺鐨勫嚱鏁�(sh霉)锛屾渻姹傚畠鐨勫皫(d菐o)鏁�(sh霉)锛屾帉鎻＄墰闋擄紞钀婂竷灏艰尐鍏紡銆�
4. 閬�(y霉n)鐢ㄥ畾绌嶅垎瑷�(j矛)绠椾竴浜涘钩闈㈠湒褰㈢殑闈㈢⿳銆�
绗叚绔� 寰垎鏂圭▼
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�銆�
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硶銆�
3. 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硶銆�
绗竷绔� 鍚戦噺浠ｆ暩(sh霉)鍜岀┖闁撹В鏋愬咕浣�
1. 鐞嗚В绌洪枔鐩磋鍧愭(bi膩o)绯�锛岀悊瑙ｅ悜閲忕殑姒傚康鍙婂叾琛ㄧず銆�
2. 鎺屾彙鍚戦噺鐨勯亱(y霉n)绠�(绶氭€ч亱(y霉n)绠�銆佹暩(sh霉)閲忕⿳銆佸悜閲忕⿳)锛屼簡瑙ｅ叐鍊嬪悜閲忓瀭鐩�銆佸钩琛岀殑姊濅欢銆�
3. 鐞嗚В鍠綅鍚戦噺銆佹柟鍚戞暩(sh霉)鑸囨柟鍚戜綑寮︺€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ㄩ仈(d谩)寮忛€�(j矛n)琛屽悜閲忛亱(y霉n)绠楃殑
鏂规硶銆�
4. 鎺屾彙骞抽潰鏂圭▼鍜岀洿绶氭柟绋嬪強鍏舵眰娉曘€�
5. 鏈冩眰骞抽潰鑸囧钩闈�銆佸钩闈㈣垏鐩寸窔銆佺洿绶氳垏鐩寸窔涔嬮枔鐨勫ぞ瑙掞紝骞舵渻鍒╃敤骞抽潰銆佺洿绶氱殑鐩镐簰闂�(gu膩n)绯�(骞�
琛�銆佸瀭鐩淬€佺浉浜ょ瓑)瑙ｆ焙鏈夐棞(gu膩n)鍟忛銆�
6. 鏈冩眰榛�(di菐n)鍒扮洿绶氫互鍙婇粸(di菐n)鍒板钩闈㈢殑璺濋洟銆�
绗叓绔� 澶氬厓鍑芥暩(sh霉)寰硶鍙婂叾鎳�(y墨ng)鐢�
1. 鐞嗚В澶氬厓鍑芥暩(sh霉)鐨勬蹇�锛岀悊瑙ｄ簩鍏冨嚱鏁�(sh霉)鐨勫咕浣曟剰缇┿€�
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)銆�
3. 鐞嗚В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�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�
浜嗚В鍏ㄥ井鍒嗗舰寮忕殑涓嶈畩鎬�銆�
4. 鎺屾彙澶氬厓寰�(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�銆�
5. 浜嗚В绌洪枔鏇茬窔鐨勫垏绶氬拰娉曞钩闈㈠強鏇查潰鐨勫垏骞抽潰鍜屾硶绶氱殑姒傚康锛屾渻姹傚畠鍊戠殑鏂圭▼銆�
6. 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殑蹇呰姊濅欢锛屼簡瑙ｄ簩鍏冨嚱鏁�(sh霉)妤�
鍊煎瓨鍦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媺鏍兼湕鏃ヤ箻鏁�(sh霉)娉曟眰姊濅欢妤靛€�锛屾渻姹傜啊鍠鍏冨嚱鏁�(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�銆�
7. 鎺屾彙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▓(j矛)绠�銆�
绗節绔� 閲嶇⿳鍒嗗強鏇茬窔绌嶅垎
1. 鐞嗚В浜岄噸绌嶅垎鐨勬蹇佃垏鎬ц唱(zh矛)浠ュ強浜岄噸绌嶅垎鐨勮▓(j矛)绠楁硶銆�
2. 鐞嗚В骞舵帉鎻′簩閲嶇⿳鍒嗙殑鎳�(y墨ng)鐢�銆�
3. 鐞嗚В涓夐噸绌嶅垎鐨勬蹇�,鎺屾彙涓夐噸绌嶅垎鐨勮▓(j矛)绠楁硶浠ュ強灏嶅闀风殑鏇茬窔绌嶅垎鍜屽皪鍧愭(bi膩o)鐨勬洸绶氱⿳鍒�銆�
4. 浜嗚В鏍兼灄鍏紡銆�
涓�銆佽€冩牳鍏�(n猫i)瀹�
绗竴绔� 鍑芥暩(sh霉)鑸囨サ闄�
绗竴绡€(ji茅) 鍑芥暩(sh霉)
闆嗗悎锛屽嚱鏁�(sh霉)姒傚康锛屽嚱鏁�(sh霉)鐨勫咕绋壒鎬�锛屽弽鍑芥暩(sh霉)锛屽京(f霉)鍚堝嚱鏁�(sh霉)鍒濈瓑鍑芥暩(sh霉)銆�
绗簩绡€(ji茅) 鏁�(sh霉)鍒楃殑妤甸檺
绨″柈鏁�(sh霉)鍒楃殑妤甸檺
绗笁绡€(ji茅) 鍑芥暩(sh霉)鐨勬サ闄�
鑷畩閲忚定鍚戞湁闄愬€兼檪鍑芥暩(sh霉)鐨勬サ闄�锛岃嚜璁婇噺瓒ㄥ悜鐒＄澶ф檪鍑芥暩(sh霉)鐨勬サ闄愩€�
绗洓绡€(ji茅) 鐒＄灏忚垏鐒＄澶�
鐒＄灏�锛岀劇绐ぇ鐨勬蹇佃垏鎬ц唱(zh矛)銆�
绗簲绡€(ji茅) 妤甸檺閬�(y霉n)绠楁硶鍓�
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