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銆婃暩(sh霉)瀛搞€嬭€冭│澶х侗
绉戠洰浠ｇ⒓锛�615
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鑰冭│瑕佹眰锛�
1锛庣悊瑙ｅ嚱鏁�(sh霉)鐨勬蹇�锛屾帉鎻″嚱鏁�(sh霉)鐨勮〃绀烘硶锛屾渻寤虹珛鎳夌敤鍟忛鐨勫嚱鏁�(sh霉)闂滅郴锛�
2锛庝簡瑙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
3锛庣悊瑙ｅ京鍚堝嚱鏁�(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
4锛庢帉鎻″熀鏈垵绛夊嚱鏁�(sh霉)鐨勬€ц唱(zh矛)鍙婂叾鍦栧舰锛屼簡瑙ｅ垵绛夊嚱鏁�(sh霉)鐨勬蹇碉紟
5锛庝簡瑙ｆ暩(sh霉)鍒楁サ闄愬拰鍑芥暩(sh霉)妤甸檺锛堝寘鎷乏妤甸檺鑸囧彸妤甸檺锛夌殑姒傚康锛�
6锛庝簡瑙ｆサ闄愮殑鎬ц唱(zh矛)鑸囨サ闄愬瓨鍦ㄧ殑鍏╁€嬫簴鍓囷紝鎺屾彙妤甸檺鐨勫洓鍓囬亱绠楁硶鍓�锛屾帉鎻″埄鐢ㄥ叐鍊嬮噸瑕佹サ闄�
姹傛サ闄愮殑鏂规硶锛�
7锛庣悊瑙ｇ劇绐皬閲忕殑姒傚康鍜屽熀鏈€ц唱(zh矛)锛屾帉鎻＄劇绐皬閲忕殑姣旇純鏂规硶锛庝簡瑙ｇ劇绐ぇ閲忕殑姒傚康鍙婂叾鑸囩劇
绐皬閲忕殑闂滅郴锛�
8锛庣悊瑙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)闁撴柗榛炵殑椤炲瀷锛�
9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)锛堟湁鐣屾€�銆佹渶澶у€�
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浜屻€佷竴鍏冨嚱鏁�(sh霉)寰垎瀛�
鑰冭│鍏�(n猫i)瀹�
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鐨勫垏绶氳垏娉曠窔 灏庢暩(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)鐨勫皫鏁�(sh霉) 寰╁悎鍑芥暩(sh霉)銆佸弽鍑芥暩(sh霉)鍜岄毐鍑芥暩(sh霉)鐨勫井鍒嗘硶
绗� 2 闋� 鍏� 3 闋�
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鑰冭│瑕佹眰
1锛庣悊瑙ｅ皫鏁�(sh霉)鐨勬蹇靛強鍙皫鎬ц垏閫ｇ簩(x霉)鎬т箣闁撶殑闂滅郴锛屼簡瑙ｅ皫鏁�(sh霉)鐨勫咕浣曟剰缇╄垏缍�(j墨ng)婵熸剰缇╋紙鍚倞闅涜垏
褰堟€х殑姒傚康锛�锛屾渻姹傚钩闈㈡洸绶氱殑鍒囩窔鏂圭▼鍜屾硶绶氭柟绋嬶紟
2锛庢帉鎻″熀鏈垵绛夊嚱鏁�(sh霉)鐨勫皫鏁�(sh霉)鍏紡銆佸皫鏁�(sh霉)鐨勫洓鍓囬亱绠楁硶鍓囧強寰╁悎鍑芥暩(sh霉)鐨勬眰灏庢硶鍓�锛屾渻姹傚垎娈靛嚱鏁�(sh霉)
鐨勫皫鏁�(sh霉)锛屾渻姹傚弽鍑芥暩(sh霉)鑸囬毐鍑芥暩(sh霉)鐨勫皫鏁�(sh霉)锛�
3锛庝簡瑙ｉ珮闅庡皫鏁�(sh霉)鐨勬蹇�锛屾渻姹傜啊鍠嚱鏁�(sh霉)鐨勯珮闅庡皫鏁�(sh霉)锛�
4锛庝簡瑙ｅ井鍒嗙殑姒傚康銆佸皫鏁�(sh霉)鑸囧井鍒嗕箣闁撶殑闂滅郴浠ュ強涓€闅庡井鍒嗗舰寮忕殑涓嶈畩鎬�锛屾渻姹傚嚱鏁�(sh霉)鐨勫井鍒嗭紟
5锛庣悊瑙ｇ緟鐖撅紙Rolle锛夊畾鐞�銆佹媺鏍兼湕鏃�( Lagrange)涓€煎畾鐞嗭紝浜嗚В娉板嫆锛圱aylor锛夊畾鐞嗐€佹煰瑗�
锛圕auchy)涓€煎畾鐞�锛屾帉鎻￠€欏洓鍊嬪畾鐞嗙殑绨″柈鎳夌敤锛�
6锛庢渻鐢ㄦ礇蹇呴仈娉曞墖姹傛サ闄愶紟
7锛庢帉鎻″嚱鏁�(sh霉)鍠(di脿o)鎬х殑鍒ゅ垾鏂规硶锛屼簡瑙ｅ嚱鏁�(sh霉)妤靛€肩殑姒傚康锛屾帉鎻″嚱鏁�(sh霉)妤靛€�銆佹渶澶у€煎拰鏈€灏忓€肩殑姹傛硶
鍙婂叾鎳夌敤锛�
8锛庢渻鐢ㄥ皫鏁�(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鍑芥暩(sh霉) ( )f x 鍏锋湁浜岄殠灏庢暩(sh霉)銆傜暥
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9锛庢渻鎻忚堪绨″柈鍑芥暩(sh霉)鐨勫湒褰紟
涓�銆佷竴鍏冨嚱鏁�(sh霉)绌嶅垎瀛�
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⿳鍒嗙殑姒傚康鍜屽熀鏈€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)鍙婂叾灏庢暩(sh霉) 鐗涢爴-钀婂竷灏艰尐锛圢ewton- 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 鍙嶅父锛堝唬缇╋級绌嶅垎 瀹氱⿳鍒嗙殑鎳夌敤
鑰冭│瑕佹眰
1锛庣悊瑙ｅ師鍑芥暩(sh霉)鑸囦笉瀹氱⿳鍒嗙殑姒傚康锛屾帉鎻′笉瀹氱⿳鍒嗙殑鍩烘湰鎬ц唱(zh矛)鍜屽熀鏈⿳鍒嗗叕寮�锛屾帉鎻′笉瀹氱⿳鍒嗙殑
鎻涘厓绌嶅垎娉曡垏鍒嗛儴绌嶅垎娉曪紟
2锛庝簡瑙ｅ畾绌嶅垎鐨勬蹇靛拰鍩烘湰鎬ц唱(zh矛)锛屼簡瑙ｅ畾绌嶅垎涓€煎畾鐞�锛岀悊瑙ｇ⿳鍒嗕笂闄愮殑鍑芥暩(sh霉)骞舵渻姹傚畠鐨勫皫鏁�(sh霉)锛�
鎺屾彙鐗涢爴-钀婂竷灏艰尐鍏紡浠ュ強瀹氱⿳鍒嗙殑鎻涘厓绌嶅垎娉曞拰鍒嗛儴绌嶅垎娉曪紟
3锛庢渻鍒╃敤瀹氱⿳鍒嗚▓绠楀钩闈㈠湒褰㈢殑闈㈢⿳銆佹棆杞�(zhu菐n)楂旂殑楂旂⿳鍜屽嚱鏁�(sh霉)鐨勫钩鍧囧€硷紝鏈冨埄鐢ㄥ畾绌嶅垎姹傝В绨″柈
鐨勭稉(j墨ng)婵熸噳鐢ㄥ晱椤岋紟
4锛庝簡瑙ｅ弽甯哥⿳鍒嗙殑姒傚康锛屾渻瑷堢畻鍙嶅父绌嶅垎锛�
鍥�銆佸鍏冨嚱鏁�(sh霉)寰⿳鍒嗗
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) 澶氬厓鍑芥暩(sh霉)鍋忓皫鏁�(sh霉)鐨勬蹇佃垏瑷堢畻 澶氬厓寰╁悎鍑芥暩(sh霉)鐨勬眰灏庢硶鑸囬毐鍑芥暩(sh霉)姹傚皫娉� 浜岄殠鍋忓皫鏁�(sh霉) 鍏�
寰垎 澶氬厓鍑芥暩(sh霉)鐨勬サ鍊煎拰姊濅欢妤靛€�銆佹渶澶у€煎拰鏈€灏忓€� 浜岄噸绌嶅垎鐨勬蹇�銆佸熀鏈€ц唱(zh矛)鍜岃▓绠� 鐒＄晫鍗€(q奴)鍩熶笂
绨″柈鐨勫弽甯镐簩閲嶇⿳鍒�
鑰冭│瑕佹眰
1锛庝簡瑙ｅ鍏冨嚱鏁�(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锛庝簡瑙ｄ簩鍏冨嚱鏁�(sh霉)鐨勬サ闄愯垏閫ｇ簩(x霉)鐨勬蹇�锛屼簡瑙ｆ湁鐣岄枆鍗€(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锛庝簡瑙ｅ鍏冨嚱鏁�(sh霉)鍋忓皫鏁�(sh霉)鑸囧叏寰垎鐨勬蹇�,鏈冩眰澶氬厓寰╁悎鍑芥暩(sh霉)涓€闅庛€佷簩闅庡亸灏庢暩(sh霉)锛屾渻姹傚叏寰垎,
鏈冩眰澶氬厓闅卞嚱鏁�(sh霉)鐨勫亸灏庢暩(sh霉)锛�
绗� 3 闋� 鍏� 3 闋�
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
