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 鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 鑰冪爺绉樼睄鑰冪爺缍�(w菐ng) >> 鏂囩珷涓績 >> 灏堟キ(y猫)瑾� >> 姝f枃  2021骞村収(n猫i)钂欏彜甯寖澶у<<601楂樼瓑鏁�(sh霉)瀛�>>鑰冪爺澶х侗

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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鑰冭│姝峰勾鑰冪爺鐪熼銆佽€冨崥鐪熼銆佺瓟妗堬紝閮ㄥ垎瀛告牎鏇存柊鑷�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 

2021骞�鍏�(n猫i)钂欏彜甯寖澶у鑰冪爺澶х侗

601楂樼瓑鏁�(sh霉)瀛�

1. 鑰冭│绉戠洰

绗竴閮ㄥ垎 楂樼瓑鏁�(sh霉)瀛�

绗簩閮ㄥ垎 甯稿井鍒嗘柟绋嬪垵姝�

2. 鑰冭│褰㈠紡鍜岃│鍗风祼(ji茅)妲�(g貌u)

2.1 瑭﹀嵎婊垮垎鍙婅€冭│鏅傞枔

瑭﹀嵎婊垮垎鐐� 150鍒�锛岃€冭│鏅傞枔鐐� 180鍒嗛悩锛�

2.2 绛斿嵎鏂瑰紡

绛旈鏂瑰紡鐐洪枆鍗�銆佺瓎瑭︼紟

2.3 绛斿嵎鍏�(n猫i)瀹硅垏绲�(ji茅)妲�(g貌u)

楂樼瓑鏁�(sh霉)瀛�

绱� 85%

绱� 15%

甯稿井鍒嗘柟绋嬪垵姝�

2.4 瑭﹀嵎椤屽瀷绲�(ji茅)妲�(g貌u)

鍠爡閬告搰椤岄伕椤�

濉┖椤�

8灏忛锛屾瘡灏忛 4鍒�锛屽叡 32鍒�

6灏忛锛屾瘡灏忛 4鍒�锛屽叡 24鍒�

9灏忛锛屽叡 94鍒�

瑙g瓟椤岋紙鍖呮嫭璀夋槑椤岋級

3. 绗竴閮ㄥ垎 銆婇珮绛夋暩(sh霉)瀛搞€嬭€冭│鍏�(n猫i)瀹硅垏瑕佹眰

3.1 鍑芥暩(sh霉)銆佹サ闄�銆侀€g簩(x霉)

3.1.1 鑰冭│鍏�(n猫i)瀹�

鍑芥暩(sh霉)鐨勬蹇靛強琛ㄧず娉曘€佸嚱鏁�(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╁悎鍑芥暩(sh霉)銆佸弽鍑芥暩(sh霉)銆佸垎娈靛嚱

鏁�(sh霉)鍜岄毐鍑芥暩(sh霉)銆佸熀鏈垵绛夊嚱鏁�(sh霉)鐨勬€ц唱(zh矛)鍙婂叾鍦栧舰銆佸垵绛夊嚱鏁�(sh霉)銆佸嚱鏁�(sh霉)闂�(gu膩n)绯荤殑寤虹珛銆�

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)銆佸嚱鏁�(sh霉)鐨勫乏妤甸檺鍜屽彸妤甸檺銆佺劇绐皬閲忓拰鐒$澶ч噺鐨勬蹇靛強

鍏堕棞(gu膩n)绯�銆佺劇绐皬閲忕殑鎬ц唱(zh矛)鍙婄劇绐皬閲忕殑姣旇純銆佹サ闄愮殑鍥涘墖閬嬬畻銆佹サ闄愬瓨鍦ㄧ殑鍏╁€嬫簴鍓囷紙鍠(di脿o)鏈夌晫婧�

鍓囧拰澶鹃€兼簴鍓囷級銆佸叐鍊嬮噸瑕佹サ闄愶細


 

 

x

sin x

1

x

lim

1

lim 1

e

x

0

x

x

鍑芥暩(sh霉)閫g簩(x霉)鐨勬蹇�銆佸嚱鏁�(sh霉)闁撴柗榛炵殑椤炲瀷銆佸垵绛夊嚱鏁�(sh霉)鐨勯€g簩(x霉)鎬�銆侀枆鍗€(q奴)闁撲笂閫g簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)銆�

3.1.2 鑰冭│瑕佹眰

1锛庣悊瑙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夌敤鍟忛鐨勫嚱鏁�(sh霉)闂�(gu膩n)绯�銆�

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с€�

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�銆�

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�銆�

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銆�

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�锛屾帉鎻℃サ闄愮殑鍥涘墖閬嬬畻娉曞墖锛屾帉鎻″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�(gu膩n)绯�銆�

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銆�

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€�

鍜屾渶灏忓€煎畾鐞�銆佷粙鍊煎畾鐞�)锛屽苟鏈冩噳鐢ㄩ€欎簺鎬ц唱(zh矛)銆�

3.2 涓€鍏冨嚱鏁�(sh霉)寰垎瀛�

3.2.1 鑰冭│鍏�(n猫i)瀹�

灏庢暩(sh霉)鍜屽井鍒嗙殑姒傚康銆佸皫鏁�(sh霉)鐨勫咕浣曟剰缇╁拰缍�(j墨ng)婵熸剰缇�銆佸嚱鏁�(sh霉)鐨勫彲灏庢€ц垏閫g簩(x霉)鎬т箣闁撶殑闂�(gu膩n)绯汇€佸钩闈㈡洸

绶氱殑鍒囩窔鑸囨硶绶�銆佸皫鏁�(sh霉)鍜屽井鍒嗙殑鍥涘墖閬嬬畻銆佸熀鏈垵绛夊嚱鏁�(sh霉)鐨勫皫鏁�(sh霉)銆佸京鍚堝嚱鏁�(sh霉)銆佸弽鍑芥暩(sh霉)鍜岄毐鍑芥暩(sh霉)鐨勫井

鍒嗘硶銆侀珮闅庡皫鏁�(sh霉)銆佷竴闅庡井鍒嗗舰寮忕殑涓嶈畩鎬с€佸井鍒嗕腑鍊煎畾鐞�銆佹礇蹇呴仈锛�L'Hospital锛夋硶鍓�銆佸嚱鏁�(sh霉)鍠(di脿o)鎬�

鐨勫垽鍒�銆佸嚱鏁�(sh霉)鐨勬サ鍊笺€佸嚱鏁�(sh霉)鍦栧舰鐨勫嚬鍑告€�銆佹嫄榛炲強婕歌繎绶�銆佸嚱鏁�(sh霉)鍦栧舰鐨勬弿绻�銆佸嚱鏁�(sh霉)鐨勬渶澶у€艰垏鏈€灏�

鍊笺€�

3.2.2 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�(gu膩n)绯�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▼鍜屾硶绶氭柟绋嬨€�

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)銆�

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)銆�

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�(gu膩n)绯讳互鍙婁竴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�

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�Taylor锛夊畾鐞�銆佹煰瑗匡紙Cauchy)

涓€煎畾鐞�锛屾帉鎻¢€欏洓鍊嬪畾鐞嗙殑绨″柈鎳夌敤銆�

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€笺€佹渶澶у€煎拰鏈€灏忓€肩殑姹傛硶

鍙婂叾鎳夌敤銆�


 

 

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(sh猫)鍑芥暩(sh霉)

f (x) 鍏锋湁浜岄殠灏庢暩(sh霉)锛庣暥





鏅�锛� f (x) 鐨勫湒褰㈡槸鍑哥殑锛夛紝鏈冩眰鍑芥暩(sh霉)鍦栧舰鐨勬嫄榛�

f (x) 0

鏅�锛� f (x) 鐨勫湒褰㈡槸鍑圭殑锛涚暥

f (x) 0

鍜屾几杩戠窔銆�

9锛庢渻鎻忚堪绨″柈鍑芥暩(sh霉)鐨勫湒褰�銆�

3.3 涓€鍏冨嚱鏁�(sh霉)绌嶅垎瀛�

3.3.1 鑰冭│鍏�(n猫i)瀹�

鍘熷嚱鏁�(sh霉)鍜屼笉瀹氱⿳鍒嗙殑姒傚康銆佷笉瀹氱⿳鍒嗙殑鍩烘湰鎬ц唱(zh矛)銆佸熀鏈⿳鍒嗗叕寮�銆佸畾绌嶅垎鐨勬蹇靛拰鍩烘湰鎬ц唱(zh矛)銆�

瀹氱⿳鍒嗕腑鍊煎畾鐞�銆佺⿳鍒嗕笂闄愮殑鍑芥暩(sh霉)鍙婂叾灏庢暩(sh霉)銆佺墰闋�-钀婂竷灏艰尐锛�Newton- Leibniz锛夊叕寮�銆佷笉瀹氱⿳鍒嗗拰

瀹氱⿳鍒嗙殑鎻涘厓绌嶅垎娉曡垏鍒嗛儴绌嶅垎娉�銆佸弽甯革紙寤g京锛夌⿳鍒嗐€佸畾绌嶅垎鐨勬噳鐢�銆�

3.3.2 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曘€�

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�銆�

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€�锛屾渻鍒╃敤瀹氱⿳鍒嗘眰瑙g啊鍠�

鐨勭稉(j墨ng)婵熸噳鐢ㄥ晱椤�銆�

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銆�

3.4 澶氬厓鍑芥暩(sh霉)寰⿳鍒嗗

3.4.1 鑰冭│鍏�(n猫i)瀹�

澶氬厓鍑芥暩(sh霉)鐨勬蹇�銆佷簩鍏冨嚱鏁�(sh霉)鐨勫咕浣曟剰缇�銆佷簩鍏冨嚱鏁�(sh霉)鐨勬サ闄愯垏閫g簩(x霉)鐨勬蹇�銆佹湁鐣岄枆鍗€(q奴)鍩熶笂浜屽厓閫�

绾�(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)銆佸鍏冨嚱鏁�(sh霉)鍋忓皫鏁�(sh霉)鐨勬蹇佃垏瑷堢畻銆佸鍏冨京鍚堝嚱鏁�(sh霉)鐨勬眰灏庢硶鑸囬毐鍑芥暩(sh霉)姹傚皫娉�銆佷簩闅庡亸灏�

鏁�(sh霉)銆佸叏寰垎銆佸鍏冨嚱鏁�(sh霉)鐨勬サ鍊煎拰姊濅欢妤靛€�銆佹渶澶у€煎拰鏈€灏忓€�銆佷簩閲嶇⿳鍒嗙殑姒傚康鍙婂叾鍩烘湰鎬ц唱(zh矛)鍜岃▓绠椼€�

涓夐噸绌嶅垎鐨勬蹇靛強鍏跺熀鏈€ц唱(zh矛)鍜岃▓绠�銆�

3.4.2 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┿€�

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)銆�

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�銆佷簩闅庡亸灏庢暩(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)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)鐨勬サ鍊硷紝鏈冪敤鎷夋牸鏈楁棩涔樻暩(sh霉)娉曟眰姊濅欢妤靛€�锛屾渻姹傜啊鍠鍏冨嚱鏁�(sh霉)鐨�

鏈€澶у€煎拰鏈€灏忓€�锛屽苟鏈冭В姹虹啊鍠殑鎳夌敤鍟忛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�銆佹サ鍧愭锛�锛涗簡瑙d笁

閲嶇⿳鍒嗙殑姒傚康鍙婂叾鍩烘湰鎬ц唱(zh矛)鍜岃▓绠�锛屾帉鎻′笁閲嶇⿳鍒嗙殑瑷堢畻鏂规硶锛堢洿瑙掑潗妯欙級銆�


 

 

3.5 鐒$绱氭暩(sh霉)

3.5.1 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殑姒傚康銆佹敹鏂傜礆鏁�(sh霉)鐨勫拰鐨勬蹇�銆佺礆鏁�(sh霉)鐨勫熀鏈€ц唱(zh矛)鑸囨敹鏂傜殑蹇呰姊濅欢銆�

骞句綍绱氭暩(sh霉)鑸� p 绱氭暩(sh霉)鍙婂叾鏀舵杺鎬�銆佹闋呯礆鏁�(sh霉)鏀舵杺鎬х殑鍒ゅ垾娉�銆佷换鎰忛爡绱氭暩(sh霉)鐨勭禃灏嶆敹鏂傝垏姊濅欢鏀舵杺銆佷氦

閷礆鏁�(sh霉)鑸囪悐甯冨凹鑼ㄥ畾鐞嗐€佸啰绱氭暩(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銆佸啰绱氭暩(sh霉)鐨勫拰鍑芥暩(sh霉)銆�

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)銆佺啊鍠啰绱氭暩(sh霉)鐨勫拰鍑芥暩(sh霉)鐨勬眰娉曘€佸垵绛夊嚱鏁�(sh霉)鐨勫啰绱氭暩(sh霉)灞曢枊寮�銆�

3.5.2 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�銆佹敹鏂傜礆鏁�(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)鍙婄礆鏁�(sh霉)鏀舵杺鐨勫繀瑕佹浠�锛屾帉鎻″咕浣曠礆鏁�(sh霉)鍙� p 绱氭暩(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁g殑姊濅欢锛�

鎺屾彙姝i爡绱氭暩(sh霉)鏀舵杺鎬х殑姣旇純鍒ゅ垾娉曞拰姣斿€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�锛屼簡瑙d氦閷礆鏁�(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€愰爡姹傚皫鍜岄€愰爡绌嶅垎锛夛紝鏈冩眰绨�

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�

sin x cosx ln(1 x) (1 x)

锛�

锛�

鍙�

鐨勯亥鍏嬪嫗鏋楋紙Maclaurin锛夊睍闁嬪紡銆�

6锛庝簡瑙� e

x

锛�

4. 绗簩閮ㄥ垎 銆婂父寰垎鏂圭▼鍒濇銆嬭€冭│鍏�(n猫i)瀹硅垏瑕佹眰

4.1 鑰冭│鍏�(n猫i)瀹�

甯稿井鍒嗘柟绋嬬殑鍩烘湰姒傚康銆佽畩閲忓彲鍒嗛洟鐨勫井鍒嗘柟绋嬨€侀綂娆″井鍒嗘柟绋�銆佷竴闅庣窔鎬у井鍒嗘柟绋嬨€佺窔鎬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)瀹氱悊銆佷簩闅庡父绯绘暩(sh霉)榻婃绶氭€у井鍒嗘柟绋嬪強绨″柈鐨勯潪榻婃绶氭€у井鍒嗘柟绋�銆佸井

鍒嗘柟绋嬬殑绨″柈鎳夌敤銆�

4.2 鑰冭│瑕佹眰

1锛庝簡瑙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�銆�

2锛庢帉鎻¤畩閲忓彲鍒嗛洟鐨勫井鍒嗘柟绋嬨€侀綂娆″井鍒嗘柟绋嬪拰涓€闅庣窔鎬у井鍒嗘柟绋嬬殑姹傝В鏂规硶銆�

3锛庢渻瑙d簩闅庡父绯绘暩(sh霉)榻婃绶氭€у井鍒嗘柟绋�銆�

4锛庝簡瑙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)瀹氱悊锛屾渻瑙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�

浣欏鸡鍑芥暩(sh霉)鐨勪簩闅庡父绯绘暩(sh霉)闈為綂娆$窔鎬у井鍒嗘柟绋�銆�

5锛庢渻鐢ㄥ井鍒嗘柟绋嬫眰瑙g啊鍠殑鎳夌敤鍟忛銆�

鍙冭€冩浉鐩細銆婇珮绛夋暩(sh霉)瀛搞€嬩笂涓嬪唺锛堢鍏増锛夛紝鍚屾繜澶у鎳夌敤鏁�(sh霉)瀛哥郴锛岄珮绛夋暀鑲插嚭鐗堢ぞ锛�2007

 

鍏嶈铂鑱叉槑锛氭湰鏂囩郴杞�(zhu菐n)杓夎嚜缍�(w菐ng)绲★紝濡傛湁渚电姱锛岃珛鑱�(li谩n)绯绘垜鍊戠珛鍗冲埅闄�锛屽彟锛氭湰鏂囧儏浠h〃浣滆€呭€嬩汉瑙€榛烇紝鑸囨湰缍�(w菐ng)绔欑劇闂�(gu膩n)銆傚叾鍘熷壍(chu脿ng)鎬т互鍙婃枃涓櫝杩版枃瀛楀拰鍏�(n猫i)瀹规湭缍�(j墨ng)鏈珯璀夊锛屽皪鏈枃浠ュ強鍏朵腑鍏ㄩ儴鎴栬€呴儴鍒嗗収(n猫i)瀹广€佹枃瀛楃殑鐪熷鎬�銆佸畬鏁存€с€佸強鏅傛€ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛璁€鑰呭儏浣滃弮鑰冿紝骞惰珛鑷鏍稿鐩搁棞(gu膩n)鍏�(n猫i)瀹�銆�

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