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8锛庣祼(ji茅)鍚堟蹇垫暀瀛�(xu茅)銆佸懡椤屾暀瀛�(xu茅)銆佺繏(x铆)椤屾暀瀛�(xu茅)绛夌殑閬庣▼锛岃兘澶犺ō(sh猫)瑷堣鍫傝瀵熺殑瑕�
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9锛庣祼(ji茅)鍚堝叿楂旀暀瀛�(xu茅)鍏�(n猫i)瀹�锛岃兘澶犻€茶闁嬫斁寮忎换鍕�(w霉)銆佽(di脿o)鏌ュ拰瀵﹂銆佹暩(sh霉)瀛�(xu茅)鏃ヨ绛夊舰
灏嶅(xu茅)鐢熺殑鏁�(sh霉)瀛�(xu茅)瀛�(xu茅)缈�(x铆)鎯呮硜閫茶瑭曞児銆�
10锛庣祼(ji茅)鍚堝叿楂斿渚�锛岃兘澶犳伆鐣�(d膩ng)?sh霉)鑶额洷W(xu茅)鐢熺殑鏁�(sh霉)瀛�(xu茅)瀛�(xu茅)缈�(x铆)绲�(ji茅)鏋滈€茶鍛堢従(xi脿n)銆�
绗洓绡€(ji茅) 涓(xu茅)鏁�(sh霉)瀛�(xu茅)鏁欏斧鐨勬暀瀛�(xu茅)琛岀偤鑸囧皥妤�(y猫)鐧�(f膩)灞�
鑰冭│鍏�(n猫i)瀹�
鍌欒锛涜瑾�锛涗笂瑾�锛涗綔妤�(y猫)甯冪疆锛涗綔妤�(y猫)鎵规敼锛涜紨灏�(d菐o)浜ゆ祦锛涘皥妤�(y猫)鐧�(f膩)灞�銆�
鑰冭│瑕佹眰
1锛庣悊瑙ｅ倷瑾�銆佽瑾�銆佷笂瑾蹭箣闁撶殑闂�(gu膩n)绯�锛屾渻绲�(ji茅)鍚堜腑瀛�(xu茅)鏁�(sh霉)瀛�(xu茅)鏁欏(xu茅)鐨勫叿楂斿収(n猫i)瀹瑰
鍑虹啊鐣ョ殑鍌欒鏂规銆佹眰骞抽潰鏇茬窔鐨勫垏绶氭柟绋嬪拰娉曠窔鏂圭▼锛�
2锛庢帉鎻′綔妤�(y猫)甯冪疆鑸囨壒鏀圭殑瀵﹁唱(zh矛)锛岃兘绲�(ji茅)鍚堝叿楂斾腑瀛�(xu茅)鏁�(sh霉)瀛�(xu茅)瀛�(xu茅)缈�(x铆)鍏�(n猫i)瀹规伆鐣�(d膩ng)?sh霉)鐗熻淳?br/>浣滄キ(y猫)锛岃兘澶犲垎鏋愮郸鍑烘渚嬩腑浣滄キ(y猫)鎵规敼鐨勫劒(y艒u)缂洪粸锛�
3锛庝簡瑙ｈ紨灏�(d菐o)浜ゆ祦鐨勫熀鏈柟寮�锛屾渻绲�(ji茅)鍚堜腑瀛�(xu茅)鐢熷湪鏁�(sh霉)瀛�(xu茅)瀛�(xu茅)缈�(x铆)閬庣▼涓殑瀵﹂殯鍟忛
閫茶鏈夐嚌灏嶆€х殑杓斿皫(d菐o)浜ゆ祦銆�
5
4锛庣悊瑙ｆ暩(sh霉)瀛�(xu茅)鏁欏斧灏堟キ(y猫)鐧�(f膩)灞曠殑鍏�(n猫i)娑佃垏澶栧欢锛屾槑鏅版暩(sh霉)瀛�(xu茅)鏁欏斧鍦ㄦ柊瑾茬▼瀵︽柦閬庣▼
涓潰鑷ㄧ殑涓昏鍟忛鍜屾寫鎴�(zh脿n)锛屽埗瀹氬€嬩汉鐧�(f膩)灞曡▓鍔�锛屾ü绔嬫纰虹殑鏁�(sh霉)瀛�(xu茅)鏁欏斧鑱锋キ(y猫)鐧�(f膩)灞曡锛�
骞剁祼(ji茅)鍚堝€嬩汉鐨勭悊鎯�锛屾伆鐣�(d膩ng)?sh霉)闂硅传鈻娾偓浜虹櫦(f膩)灞曡(gu墨)鍔冦€�
绗簩绔� 鏁�(sh霉)瀛�(xu茅)鍒嗘瀽
绗竴绡€(ji茅) 鍑芥暩(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�锛涘嚱鏁�(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�锛涘京(f霉)鍚堝嚱鏁�(sh霉)锛�
鍙嶅嚱鏁�(sh霉)锛涘垎娈靛嚱鏁�(sh霉)鍜岄毐鍑芥暩(sh霉)锛涘熀鏈垵绛夊嚱鏁�(sh霉)鐨勬€ц唱(zh矛)鍙婂叾鍦栧舰锛涘垵绛夊嚱鏁�(sh霉)锛涘嚱鏁�(sh霉)闂�(gu膩n)
绯荤殑寤虹珛锛涙暩(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)锛涚劇绐皬閲忓拰鐒＄澶ч噺鐨勬蹇靛強
鍏堕棞(gu膩n)绯伙紱鐒＄灏忛噺鐨勬€ц唱(zh矛)鍙婄劇绐皬閲忕殑姣旇純锛涙サ闄愮殑鍥涘墖閬嬬畻锛涙サ闄愬瓨鍦ㄧ殑鍏╁€�
婧�(zh菙n)鍓�锛涘柈瑾�(di脿o)鏈夌晫婧�(zh菙n)鍓囧拰澶鹃€兼簴(zh菙n)鍓�锛涘叐鍊嬮噸瑕佹サ闄愶紱鍑芥暩(sh霉)閫ｇ簩(x霉)鐨勬蹇�锛涘垵绛夊嚱鏁�(sh霉)鐨�
閫ｇ簩(x霉)鎬�锛涢枆鍗€(q奴)闁撲笂閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)銆�
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)绯伙紟
2锛庝簡瑙ｅ嚱鏁�(sh霉)鐨勬湁鐣屾€э紟鍠(di脿o)鎬э紟鍛ㄦ湡鎬у拰濂囧伓鎬э紟
3锛庣悊瑙ｅ京(f霉)鍚堝嚱鏁�(sh霉)鍙婂垎娈靛嚱鏁�(sh霉)鐨勬蹇碉紝浜嗚В鍙嶅嚱鏁�(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)妤甸檺鐨勬蹇碉紟
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(zh菙n)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叐鍊嬮噸瑕佹サ闄愭眰妤甸檺鐨勬柟娉曪紟
7锛庣悊瑙ｇ劇绐皬鐨勬蹇靛拰鍩烘湰鎬ц唱(zh矛)锛庢帉鎻＄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�(gu膩n)绯伙紟
8锛庣悊瑙ｅ嚱鏁�(sh霉)閫ｇ簩(x霉)鎬х殑姒傚康锛�
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€�
璩�(zh矛)锛堟湁鐣屾€�銆佹渶澶у€煎拰鏈€灏忓€煎畾鐞嗭紟浠嬪€煎畾鐞�)锛屽苟鏈冩噳(y墨ng)鐢ㄩ€欎簺鎬ц唱(zh矛)锛�
绗簩绡€(ji茅) 涓€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锛涘皫(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇�锛涘嚱鏁�(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�锛�
骞抽潰鏇茬窔鐨勫垏绶氳垏娉曠窔锛涘皫(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑鍥涘墖閬嬬畻锛涘熀鏈垵绛夊嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛涘京(f霉)鍚堝嚱
鏁�(sh霉)锛庡弽鍑芥暩(sh霉)鍜岄毐鍑芥暩(sh霉)鐨勫井鍒嗘硶锛涢珮闅庡皫(d菐o)鏁�(sh霉)锛涗竴闅庡井鍒嗗舰寮忕殑涓嶈畩鎬�锛涘井鍒嗕腑鍊煎畾
鐞�锛涙礇蹇呴仈锛圠'Hospital锛夋硶鍓囷紱鍑芥暩(sh霉)鍠(di脿o)鎬х殑鍒ゅ垾锛涘嚱鏁�(sh霉)鐨勬サ鍊�锛涘嚱鏁�(sh霉)鍦栧舰鐨�
6
鍑瑰嚫鎬�锛涙嫄榛炲強婕歌繎绶氾紱鍑芥暩(sh霉)鐨勬渶澶у€艰垏鏈€灏忓€�銆�
鑰冭│瑕佹眰
1锛庣悊瑙ｅ皫(d菐o)鏁�(sh霉)鐨勬蹇靛強鍙皫(d菐o)鎬ц垏閫ｇ簩(x霉)鎬т箣闁撶殑闂�(gu膩n)绯�锛屼簡瑙ｅ皫(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇�锛�
鏈冩眰骞抽潰鏇茬窔鐨勫垏绶氭柟绋嬪拰娉曠窔鏂圭▼銆�
2锛庢帉鎻″熀鏈垵绛夊嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)鍏紡锛庡皫(d菐o)鏁�(sh霉)鐨勫洓鍓囬亱绠楁硶鍓囧強寰�(f霉)鍚堝嚱鏁�(sh霉)鐨勬眰灏�(d菐o)
娉曞墖锛屾渻姹傚垎娈靛嚱鏁�(sh霉)鐨勫皫(d菐o)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(d菐o)鏁�(sh霉)銆�
3锛庝簡瑙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)銆�
4锛庝簡瑙ｅ井鍒嗙殑姒傚康锛屽皫(d菐o)鏁�(sh霉)鑸囧井鍒嗕箣闁撶殑闂�(gu膩n)绯讳互鍙婁竴闅庡井鍒嗗舰寮忕殑涓嶈畩鎬�锛�
鏈冩眰鍑芥暩(sh霉)鐨勫井鍒嗐€�
5锛庣悊瑙ｇ緟鐖撅紙Rolle锛夊畾鐞嗭紟鎷夋牸鏈楁棩( Lagrange)涓€煎畾鐞嗭紟浜嗚В娉板嫆瀹�
鐞嗭紟鏌タ锛圕auchy)涓€煎畾鐞�锛屾帉鎻￠€欏洓鍊嬪畾鐞嗙殑绨″柈鎳�(y墨ng)鐢�銆�
6锛庢渻鐢ㄦ礇蹇呴仈娉曞墖姹傛サ闄�銆�
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�(y墨ng)鐢�銆�
8锛庢渻鐢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 鍏锋湁
浜岄殠灏�(d菐o)鏁�(sh霉)锛庣暥(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㈡槸
鍑哥殑锛�锛屾渻姹傚嚱鏁�(sh霉)鍦栧舰鐨勬嫄榛炲拰婕歌繎绶�銆�
绗笁绡€(ji茅) 涓€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⿳鍒嗙殑姒傚康锛涗笉瀹氱⿳鍒嗙殑鍩烘湰鎬ц唱(zh矛)锛涘熀鏈⿳鍒嗗叕寮忥紱瀹氱⿳鍒嗙殑
姒傚康鍜屽熀鏈€ц唱(zh矛)锛涘畾绌嶅垎涓€煎畾鐞�锛涚墰闋撲竴钀婂竷灏艰尐锛圢ewton- Leibniz锛夊叕寮忥紱
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⿳鍒嗘硶锛涘畾绌嶅垎鐨勬噳(y墨ng)鐢ㄣ€�
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
寮忥紝鎺屾彙涓嶅畾绌嶅垎鐨勬彌鍏冪⿳鍒嗘硶鍜屽垎閮ㄧ⿳鍒嗘硶銆�
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�锛屾帉鎻＄墰闋撲竴钀婂竷
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�銆�
3锛庢渻鍒╃敤瀹氱⿳鍒嗚▓绠楀钩闈㈠湒褰㈢殑闈㈢⿳锛庢棆杞�(zhu菐n)楂旂殑楂旂⿳鍜屽嚱鏁�(sh霉)鐨勫钩鍧囧€�锛屾渻
鍒╃敤瀹氱⿳鍒嗘眰瑙ｇ啊鍠殑鎳�(y墨ng)鐢ㄥ晱椤�銆�
绗洓绡€(ji茅) 澶氬厓鍑芥暩(sh霉)寰⿳鍒嗗(xu茅)
鑰冭│鍏�(n猫i)瀹�
7
澶氬厓鍑芥暩(sh霉)鐨勬蹇�锛涗簩鍏冨嚱鏁�(sh霉)鐨勫咕浣曟剰缇�锛涗簩鍏冨嚱鏁�(sh霉)鐨勬サ闄愯垏閫ｇ簩(x霉)鐨勬蹇碉紱鏈�
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鐨勬眰灏�(d菐o)娉曡垏闅卞嚱鏁�(sh霉)姹傚皫(d菐o)娉�锛涗簩闅庡亸灏�(d菐o)鏁�(sh霉)锛涘叏寰垎锛涘鍏冨嚱鏁�(sh霉)鐨勬サ鍊煎拰姊濅欢妤靛€硷紱
鏈€澶у€煎拰鏈€灏忓€�锛涗簩閲嶇⿳鍒嗙殑姒傚康锛涘熀鏈€ц唱(zh矛)鍜岃▓绠�銆�
鑰冭│瑕佹眰
1锛庝簡瑙ｅ鍏冨嚱鏁�(sh霉)鐨勬蹇碉紝浜嗚В浜屽厓鍑芥暩(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)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�
鎬ц唱(zh矛)銆�
3锛庝簡瑙ｅ鍏冨嚱鏁�(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鑸囧叏寰垎鐨勬蹇�,鏈冩眰澶氬厓寰�(f霉)鍚堝嚱鏁�(sh霉)涓€闅庛€佷簩闅庡亸灏�(d菐o)
鏁�(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�(d菐o)鏁�(sh霉)銆�
4锛庝簡瑙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€硷紝骞舵渻瑙ｆ焙绨″柈鐨勬噳(y墨ng)鐢ㄥ晱
椤�銆�
5锛庝簡瑙ｄ簩閲嶇⿳鍒嗙殑姒傚康鑸囧熀鏈€ц唱(zh矛)锛屾帉鎻′簩閲嶇⿳鍒嗙殑瑷堢畻鏂规硶锛堢洿瑙掑潗妯�(bi膩o)锛庢サ
鍧愭(bi膩o)锛�銆�
绗簲绡€(ji茅) 鐒＄绱氭暩(sh霉)
鑰冭│鍏�(n猫i)瀹�
甯告暩(sh霉)闋呯礆鏁�(sh霉)鏀舵杺鑸囩櫦(f膩)鏁ｇ殑姒傚康锛涙敹鏂傜礆鏁�(sh霉)鐨勫拰鐨勬蹇�锛涚礆鏁�(sh霉)鐨勫熀鏈€ц唱(zh矛)鑸囨敹
鏂傜殑蹇呰姊濅欢锛涳紱姝ｉ爡绱氭暩(sh霉)鏀舵杺鎬х殑鍒ゅ垾娉�锛涗换鎰忛爡绱氭暩(sh霉)鐨勭禃灏嶆敹鏂傝垏姊濅欢鏀舵杺锛�
浜ら尟绱氭暩(sh霉)鑸囪悐甯冨凹鑼ㄥ畾鐞嗭紱鍐礆鏁�(sh霉)鍙婂叾鏀舵杺鍗婂緫锛庢敹鏂傚崁(q奴)闁擄紙鎸囬枊鍗€(q奴)闁擄級鍜屾敹鏂�
鍩�锛涘啰绱氭暩(sh霉)鐨勫拰鍑芥暩(sh霉)锛涘啰绱氭暩(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)锛涚啊鍠啰绱氭暩(sh霉)鐨勫拰鍑芥暩(sh霉)
鐨勬眰娉�锛涘垵绛夊嚱鏁�(sh霉)鐨勫啰绱氭暩(sh霉)灞曢枊寮忋€�
鑰冭│瑕佹眰
1锛庝簡瑙ｇ礆鏁�(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁ｏ紟鏀舵杺绱氭暩(sh霉)鐨勫拰鐨勬蹇�銆�
2锛庝簡瑙ｇ礆鏁�(sh霉)鐨勫熀鏈€ц唱(zh矛)鍜岀礆鏁�(sh霉)鏀舵杺鐨勫繀瑕佹浠�锛屾帉鎻℃闋呯礆鏁�(sh霉)鏀舵杺鎬х殑姣�
杓冨垽鍒ユ硶鍜屾瘮鍊煎垽鍒ユ硶銆�
3锛庝簡瑙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�
浜嗚В浜ら尟绱氭暩(sh霉)鐨勮悐甯冨凹鑼ㄥ垽鍒ユ硶銆�
4锛庢渻姹傚啰绱氭暩(sh霉)鐨勬敹鏂傚崐寰�銆佹敹鏂傚崁(q奴)闁撳強鏀舵杺鍩熴€�
5锛庝簡瑙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�
8
閫愰爡绌嶅垎锛�锛屾渻姹傜啊鍠啰绱氭暩(sh霉)鍦ㄥ叾鏀舵杺鍗€(q奴)闁撳収(n猫i)鐨勫拰鍑芥暩(sh霉)銆�
6锛庝簡瑙� x
e 锛� sin x 锛巆os x 锛巐n(1 )x? 鍙� (1 )x
?
? 鐨勯亥鍏嬪嫗鏋楋紙Maclaurin锛夊睍
闁嬪紡銆�
绗笁绔� 楂� 绛� 浠� 鏁�(sh霉)
绗竴绡€(ji茅) 琛屽垪寮�
鑰冭│鍏�(n猫i)瀹�
琛屽垪寮忕殑姒傚康鍜屽熀鏈€ц唱(zh矛)锛涜鍒楀紡鎸夎锛堝垪锛夊睍闁嬪畾鐞�銆�
鑰冭│瑕佹眰
1.浜嗚В琛屽垪寮忕殑姒傚康锛屾帉鎻¤鍒楀紡鐨勬€ц唱(zh矛)銆�
2.鏈冩噳(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▓绠楄鍒楀紡銆�
绗簩绡€(ji茅) 鐭╅櫍
鑰冭│鍏�(n猫i)瀹�
鐭╅櫍鐨勬蹇�锛涚煩闄ｇ殑绶氭€ч亱绠�锛涚煩闄ｇ殑涔樻硶锛涙柟闄ｄ箻绌嶇殑琛屽垪寮�锛涚煩闄ｇ殑杞�(zhu菐n)
缃紱閫嗙煩闄ｇ殑姒傚康鍜屾€ц唱(zh矛)锛涚煩闄ｅ彲閫嗙殑鍏呭垎蹇呰姊濅欢锛涗即闅ㄧ煩闄ｏ紱鐭╅櫍鐨勫垵绛夎畩
鎻�锛涘垵绛夌煩闄ｏ紱鐭╅櫍鐨勭З銆�
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ｃ€佹暩(sh霉)閲忕煩闄�銆佸皪瑙掔煩闄ｃ€佷笁瑙掔煩闄ｇ殑瀹�
缇╁強鎬ц唱(zh矛)锛屼簡瑙ｅ皪绋辩煩闄�銆佸弽灏嶇ū鐭╅櫍鍙婃浜ょ煩闄ｇ瓑鐨勫畾缇╁拰鎬ц唱(zh矛)銆�
2锛庢帉鎻＄煩闄ｇ殑绶氭€ч亱绠�銆佷箻娉�銆佽綁(zhu菐n)缃互鍙婂畠鍊戠殑閬嬬畻瑕�(gu墨)寰嬶紝浜嗚В鏂归櫍涔樼⿳
鐨勮鍒楀紡鐨勬€ц唱(zh矛)銆�
3.鐞嗚В閫嗙煩闄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岀悊
瑙ｄ即闅ㄧ煩闄ｇ殑姒傚康锛屾渻鐢ㄤ即闅ㄧ煩闄ｆ眰閫嗙煩闄ｃ€�
4.浜嗚В鐭╅櫍鐨勫垵绛夎畩鎻涘拰鍒濈瓑鐭╅櫍鍙婄煩闄ｇ瓑鍍圭殑姒傚康锛岀悊瑙ｇ煩闄ｇ殑绉╃殑姒�
蹇碉紝鎺屾彙鐢ㄥ垵绛夎畩鎻涙眰鐭╅櫍鐨勯€嗙煩闄ｅ拰绉╃殑鏂规硶銆�
绗笁绡€(ji茅) 鍚戦噺
鑰冭│鍏�(n猫i)瀹�
鍚戦噺鐨勬蹇�锛涘悜閲忕殑绶氭€х祫鍚堣垏绶氭€ц〃绀�锛涘悜閲忕祫鐨勭窔鎬х浉闂�(gu膩n)鑸囩窔鎬х劇闂�(gu膩n)锛�
鍚戦噺绲勭殑妤靛ぇ绶氭€х劇闂�(gu膩n)绲�銆佺瓑鍍瑰悜閲忕祫锛涘悜閲忕祫鐨勭З锛涘悜閲忕祫鐨勭З鑸囩煩闄ｇ殑绉╀箣
闁撶殑闂�(gu膩n)绯伙紱鍚戦噺鐨勫収(n猫i)绌� 绶氭€х劇闂�(gu膩n)鍚戦噺绲勭殑姝ｄ氦瑕�(gu墨)鑼冨寲鏂规硶銆�
鑰冭│瑕佹眰
1锛庝簡瑙ｅ悜閲忕殑姒傚康锛屾帉鎻″悜閲忕殑鍔犳硶鍜屾暩(sh霉)涔橀亱绠楁硶鍓�銆�
9
2锛庣悊瑙ｅ悜閲忕殑绶氭€х祫鍚堣垏绶氭€ц〃绀恒€佸悜閲忕祫绶氭€х浉闂�(gu膩n)銆佺窔鎬х劇闂�(gu膩n)绛夋蹇碉紝
鎺屾彙鍚戦噺绲勭窔鎬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锛庣悊瑙ｅ悜閲忕祫鐨勬サ澶х窔鎬х劇闂�(gu膩n)绲勭殑姒傚康锛屾渻姹傚悜閲忕祫鐨勬サ澶х窔鎬х劇闂�(gu膩n)绲勫強
绉┿€�
4锛庣悊瑙ｅ悜閲忕祫绛夊児鐨勬蹇�锛岀悊瑙ｇ煩闄ｇ殑绉╄垏鍏惰锛堝垪锛夊悜閲忕祫鐨勭З涔嬮枔鐨�
闂�(gu膩n)绯�銆�
5锛庝簡瑙ｅ収(n猫i)绌嶇殑姒傚康锛庢帉鎻＄窔鎬х劇闂�(gu膩n)鍚戦噺绲勬浜よ(gu墨)鑼冨寲鐨勬柦瀵嗙壒锛圫chmidt锛�
鏂规硶銆�
绗洓绡€(ji茅) 绶氭€ф柟绋嬬祫
鑰冭│鍏�(n猫i)瀹�
绶氭€ф柟绋嬬祫鐨勫厠钀婂锛圕ramer锛夋硶鍓�锛涚窔鎬ф柟绋嬬祫鏈夎В鍜岀劇瑙ｇ殑鍒ゅ畾锛涢綂娆�
绶氭€ф柟绋嬬祫鐨勫熀绀�(ch菙)瑙ｇ郴鍜岄€氳В锛涢潪榻婃绶氭€ф柟绋嬬祫鐨勮В鑸囩浉鎳�(y墨ng)鐨勯綂娆＄窔浠舵柟绋嬬祫
锛堝皫(d菐o)鍑虹祫锛夌殑瑙ｄ箣闁撶殑闂�(gu膩n)绯�锛涢潪榻婃绶氭€ф柟绋嬬祫鐨勯€氳В銆�
鑰冭│瑕佹眰
1.鏈冪敤鍏嬭悐濮嗘硶鍓囪В绶氭€ф柟绋嬬祫銆�
2.鎺屾彙闈為綂娆＄窔鎬ф柟绋嬬祫鏈夎В鍜岀劇瑙ｇ殑鍒ゅ畾鏂规硶銆�
3.鐞嗚В榻婃绶氭€ф柟绋嬬祫鐨勫熀绀�(ch菙)瑙ｇ郴鐨勬蹇碉紝鎺屾彙榻婃绶氭€ф柟绋嬬祫鐨勫熀绀�(ch菙)瑙ｇ郴
鍜岄€氳В鐨勬眰娉�銆�
4.鐞嗚В闈為綂娆＄窔鎬ф柟绋嬬祫瑙ｇ殑绲�(ji茅)妲�(g貌u)鍙婇€氳В鐨勬蹇点€�
5.鎺屾彙鐢ㄥ垵绛夎璁婃彌姹傝В绶氭€ф柟绋嬬祫鐨勬柟娉�銆�
绗簲绡€(ji茅) 鐭╅櫍鐨勭壒寰佸€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)锛涚浉浼肩煩闄ｇ殑姒傚康鍙婃€ц唱(zh矛)锛涚煩闄ｅ彲鐩�
浼煎皪瑙掑寲鐨勫厖鍒嗗繀瑕佹浠跺強鐩镐技灏嶈鐭╅櫍锛涘灏嶇ū鐭╅櫍鐨勭壒寰佸€煎拰鐗瑰緛鍚戦噺鍙婄浉
浼煎皪瑙掔煩闄ｃ€�
鑰冭│瑕佹眰
1.鐞嗚В鐭╅櫍鐨勭壒寰佸€�銆佺壒寰佸悜閲忕殑姒傚康锛屾帉鎻＄煩闄ｇ壒寰佸€肩殑鎬ц唱(zh矛)锛屾帉鎻℃眰鐭�
闄ｇ壒寰佸€煎拰鐗瑰緛鍚戦噺鐨勬柟娉曪紟
2.鐞嗚В鐭╅櫍鐩镐技鐨勬蹇�锛屾帉鎻＄浉浼肩煩闄ｇ殑鎬ц唱(zh矛)锛屼簡瑙ｇ煩闄ｅ彲鐩镐技灏嶈鍖栫殑鍏�
鍒嗗繀瑕佹浠�锛屾帉鎻″皣鐭╅櫍鍖栫偤鐩镐技灏嶈鐭╅櫍鐨勬柟娉曪紟
3.鎺屾彙瀵﹀皪绋辩煩闄ｇ殑鐗瑰緛鍊煎拰鐗瑰緛鍚戦噺鐨勬€ц唱(zh矛)锛�
10
鍙冭€冩浉鐩細
1锛庢暀鑲查儴鍩虹(ch菙)鏁欒偛瑾茬▼鏁欐潗灏堝宸ヤ綔濮斿摗鏈�.銆婄京鍕�(w霉)鏁欒偛鏁�(sh霉)瀛�(xu茅)瑾茬▼妯�(bi膩o)婧�(zh菙n)锛�2011
骞寸増锛夎В璁€銆嬶紝鍖椾含锛氬寳浜斧鑼冨ぇ瀛�(xu茅)鍑虹増绀�,2012.
2锛庡毚澹仴锛屽嫉濂犲畽锛岀帇灏氬織锛岀瓑.銆婃櫘閫氶珮涓暩(sh霉)瀛�(xu茅)瑾茬▼妯�(bi膩o)婧�(zh菙n)锛堝椹楋級瑙ｈ畝銆�锛�
鍗椾含锛氭睙铇囨暀鑲插嚭鐗堢ぞ,2003.
3锛庡嫉濂犲畽锛屽畫涔冩叾.銆婃暩(sh霉)瀛�(xu茅)鏁欒偛姒傝珫銆�锛屽寳浜細楂樼瓑鏁欒偛鍑虹増绀�锛�2004.
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
