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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  2020骞存禉姹熻病(c谩i)缍�(j墨ng)澶у(xu茅)楂樼瓑鏁�(sh霉)瀛�(xu茅)鑰冪爺澶х侗

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2020骞�娴欐睙璨�(c谩i)缍�(j墨ng)澶у(xu茅)銆�楂樼瓑鏁�(sh霉)瀛�(xu茅)銆嬭€冭│澶х侗

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    锛堜竴锛夊嚱鏁�(sh霉)銆佹サ闄愩€侀€g簩(x霉)

1锛庣悊瑙e嚱鏁�(sh霉)鐨勬蹇�锛屾帉鎻″嚱鏁�(sh霉)鐨勮〃绀烘硶锛岃兘澶犳纰哄缓绔嬬啊鍠噳(y墨ng)鐢ㄥ晱椤屼腑鐨勫嚱鏁�(sh霉)闂�(gu膩n)绯伙紟

2锛庝簡瑙e嚱鏁�(sh霉)鏈夌晫鎬с€佸柈瑾�(di脿o)鎬�銆佸懆鏈熸€у拰濂囧伓鎬х殑姒傚康锛屽苟鑳界啛绶村垎鏋愬嚱鏁�(sh霉)鍦栧舰鐗瑰緛锛�

3锛庣悊瑙e京(f霉)鍚堝嚱鏁�(sh霉)銆佸垎娈靛嚱鏁�(sh霉)銆佸弽鍑芥暩(sh霉)浠ュ強闅卞嚱鏁�(sh霉)鐨勬蹇碉紟

4锛庢帉鎻″熀鏈垵绛夊嚱鏁�(sh霉)鐨勫畾缇�銆佹€ц唱(zh矛)浠ュ強鍦栧舰鐗瑰緛锛屼簡瑙e垵绛夊嚱鏁�(sh霉)鐨勬蹇碉紟

5锛庣悊瑙fサ闄愩€佸柈鍋�(c猫)妤甸檺鐨勫畾缇╁強鍏朵箣闁撶殑鐩镐簰闂�(gu膩n)绯伙紟

6锛庣啛绶存帉鎻℃サ闄愮殑鎬ц唱(zh矛)鍙婂洓鍓囬亱(y霉n)绠楁硶鍓囷紟

7锛庣啛绶存帉鎻″苟閬�(y霉n)鐢ㄦサ闄愮殑鍏╁€�(g猫)瀛樺湪鎬ф簴(zh菙n)鍓囦互鍙婂叐鍊�(g猫)閲嶈妤甸檺锛�

8锛庣悊瑙g劇绐皬閲�銆佺劇绐ぇ閲忕殑瀹氱京鍙婂叾涔嬮枔鐨勯棞(gu膩n)绯�锛屾帉鎻$劇绐皬閲忛殠鐨勬瘮杓冩柟娉�锛屾帉鎻℃サ闄愯垏鐒$灏忛噺鐨勯棞(gu膩n)绯�锛岃兘澶犳纰哄埄鐢ㄧ瓑鍍�(ji脿)鐒$灏忛噺姹傝В妤甸檺鍟忛锛�

9锛庣悊瑙e嚱鏁�(sh霉)閫g簩(x霉)銆佸柈鍋�(c猫)閫g簩(x霉)鐨勬蹇靛強鍏朵箣闁撶殑闂�(gu膩n)绯�锛岃兘澶犵啛绶存壘鍑哄嚱鏁�(sh霉)鐨勯枔鏂烽粸(di菐n)骞跺垽鏂峰叾椤炲瀷锛�

10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э紝鐞嗚В骞惰兘鐔熺反鎳�(y墨ng)鐢ㄩ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€煎拰鏈€灏忓€煎畾鐞�銆佷粙鍊煎畾鐞嗭級锛�

    锛堜簩锛変竴鍏冨嚱鏁�(sh霉)寰垎瀛�(xu茅)

1锛庣悊瑙e皫(d菐o)鏁�(sh霉)銆佸柈鍋�(c猫)灏�(d菐o)鏁�(sh霉)銆佸井鍒嗙殑姒傚康锛岀悊瑙e皫(d菐o)鏁�(sh霉)鑸囧柈鍋�(c猫)灏�(d菐o)鏁�(sh霉)銆佸皫(d菐o)鏁�(sh霉)鑸囧井鍒嗙殑闂�(gu膩n)绯�锛屾帉鎻″皫(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇╁苟鑳芥帹灏�(d菐o)骞抽潰鏇茬窔鐨勫垏绶氭柟绋嬪拰娉曠窔鏂圭▼锛屼簡瑙e皫(d菐o)鏁�(sh霉)鐨勭墿鐞嗘剰缇�锛岃兘澶犲埄鐢ㄥ皫(d菐o)鏁�(sh霉)鎻忚堪涓€浜涚啊鍠殑鐗╃悊鐝�(xi脿n)璞★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锛庣啛绶存帉鎻″皫(d菐o)鏁�(sh霉)鐨勫洓鍓囬亱(y霉n)绠楁硶鍓�銆佸京(f霉)鍚堝嚱鏁�(sh霉)鐨勬眰灏�(d菐o)娉曞墖浠ュ強鍙嶅嚱鏁�(sh霉)鐨勬眰灏�(d菐o)鏂规硶锛屾帉鎻″熀鏈垵绛夊嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)鍏紡锛庣啛绶存帉鎻″井鍒嗙殑鍥涘墖閬�(y霉n)绠楁硶鍓囷紝鐞嗚В骞惰兘鎳�(y墨ng)鐢ㄥ嚱鏁�(sh霉)鐨勪竴闅庡井鍒嗗舰寮忎笉璁婃€�锛岀啛绶存帉鎻℃眰瑙e嚱鏁�(sh霉)寰垎鐨勬柟娉曪紟

3锛庣悊瑙i珮闅庡皫(d菐o)鏁�(sh霉)鐨勬蹇碉紝鐔熺反鎺ㄥ皫(d菐o)绨″柈鍑芥暩(sh霉)鐨勯珮闅庡皫(d菐o)鏁�(sh霉)锛�

4锛庢帉鎻″垎娈靛嚱鏁�(sh霉)銆侀毐鍑芥暩(sh霉)銆佺敱鍙冩暩(sh霉)鏂圭▼鎵€纰哄畾鐨勫嚱鏁�(sh霉)浠ュ強鍙嶅嚱鏁�(sh霉)灏�(d菐o)鏁�(sh霉)鐨勬眰瑙f柟娉曪紟

5锛庣悊瑙e苟鏈�(hu矛)鎳�(y墨ng)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�銆佹煰瑗�( Cauchy锛変腑鍊煎畾鐞嗭紟

6锛庣啛绶存帉鎻℃噳(y墨ng)鐢ㄦ礇蹇呴仈(d谩)娉曞墖姹傝В鏈畾寮忔サ闄愶紟

7锛庣悊瑙e嚱鏁�(sh霉)鐨勬サ鍊笺€佹渶鍊间互鍙婃サ鍊奸粸(di菐n)銆佹渶鍊奸粸(di菐n)鐨勬蹇�锛屾帉鎻″嚱鏁�(sh霉)鍠(di脿o)鎬х殑鍒ゅ垾鏂规硶锛屾帉鎻℃眰瑙e嚱鏁�(sh霉)妤靛€奸粸(di菐n)鍜屾サ鍊煎苟鍒ゅ垾鏈€鍊煎拰鏈€鍊奸粸(di菐n)鐨勬柟娉曪紟

8锛庢帉鎻″嚱鏁�(sh霉)鍦栧舰鍑瑰嚫鎬х殑鍒ゅ垾鏂规硶锛屾渻(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村拰鏂滄几杩戠窔锛屾渻(hu矛)绻埗鍑芥暩(sh霉)鐨勫湒褰紟

    锛堜笁锛変竴鍏冨嚱鏁�(sh霉)绌嶅垎瀛�(xu茅)

1锛庣悊瑙e師鍑芥暩(sh霉)銆佷笉瀹氱⿳鍒嗗拰瀹氱⿳鍒嗙殑姒傚康锛�

2锛庣啛绶存帉鎻¤▓(j矛)绠椾笉瀹氱⿳鍒嗙殑鍩烘湰鍏紡锛屾帉鎻′笉瀹氱⿳鍒嗗拰瀹氱⿳鍒嗙殑鎬ц唱(zh矛)鍙婂畾绌嶅垎涓€煎畾鐞嗭紝鎺屾彙鎻涘厓绌嶅垎娉曡垏鍒嗛儴绌嶅垎娉曪紟

3锛庢渻(hu矛)姹傝В鏈夌悊鍑芥暩(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)銆佹湁鐞嗗紡鍜岀啊鍠劇鐞嗗嚱鏁�(sh霉)鐨勭⿳鍒嗭紟

4锛庣悊瑙h畩闄愮⿳鍒嗭紙绌嶅垎涓婇檺鍑芥暩(sh霉)锛夊強鍏舵眰灏�(d菐o)鏂规硶锛屾帉鎻$墰闋撲竴钀婂竷灏艰尐鍏紡锛�

5锛庣悊瑙e弽甯哥⿳鍒嗙殑姒傚康锛屾渻(hu矛)瑷�(j矛)绠楀弽甯哥⿳鍒嗭紟

6锛庢帉鎻$敤瀹氱⿳鍒嗚〃閬�(d谩)鍜岃▓(j矛)绠椾竴浜涘咕浣曢噺鑸囩墿鐞嗛噺锛堝钩闈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)楂旂殑楂旂⿳鍙婂伌(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嶃€佸姛銆佸紩鍔�銆佸鍔涚瓑锛夊強鍑芥暩(sh霉)鐨勫钩鍧囧€硷紟

    锛堝洓锛夊鍏冨嚱鏁�(sh霉)寰⿳鍒嗗(xu茅)

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锛庣悊瑙d簩鍏冨嚱鏁�(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)鍩熶笂浜屽厓閫g簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)锛�

3锛庣悊瑙e鍏冨嚱鏁�(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鐨勬蹇靛苟鑳界啛绶存眰瑙e鍏冨京(f霉)鍚堝嚱鏁�(sh霉)鐨勫悇闅庡亸灏�(d菐o)鏁�(sh霉)锛屾帉鎻″叏寰垎鐨勬蹇靛苟鑳界啛绶存眰瑙e鍏冨嚱鏁�(sh霉)鐨勫叏寰垎锛岀悊瑙i毐鍑芥暩(sh霉)瀛樺湪瀹氱悊骞舵渻(hu矛)姹傝В澶氬厓闅卞嚱鏁�(sh霉)鐨勫亸灏�(d菐o)鏁�(sh霉)锛�

4锛庣悊瑙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姊濅欢锛岀悊瑙d簩鍏冨嚱鏁�(sh霉)妤靛€煎瓨鍦ㄧ殑鍏呭垎姊濅欢骞舵眰瑙d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)娉曟眰瑙e嚱鏁�(sh霉)姊濅欢妤靛€硷紝鏈�(hu矛)姹傜啊鍠鍏冨嚱鏁�(sh霉)鐨勬渶澶у€煎拰鏈€灏忓€�锛屽苟鏈�(hu矛)瑙f焙涓€浜涚啊鍠殑鎳�(y墨ng)鐢ㄥ晱椤岋紟

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�(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

    锛堜簲锛夌劇绐礆鏁�(sh霉)

1锛庣悊瑙g礆鏁�(sh霉)鏀舵杺鑸囩櫦(f膩)鏁�銆佹敹鏂傜礆鏁�(sh霉)鍜岀殑姒傚康锛�

2锛庢帉鎻$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浠讹紝鎺屾彙骞句綍绱氭暩(sh霉)鍙妏绱氭暩(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁g殑姊濅欢锛屾帉鎻℃闋�(xi脿ng)绱氭暩(sh霉)鏀舵杺鎬х殑姣旇純鍒ゅ垾娉曞拰姣斿€煎垽鍒ユ硶锛�

3锛庣悊瑙d换鎰忛爡(xi脿ng)绱氭暩(sh霉)绲曞皪鏀舵杺銆佹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�(cu貌)绱氭暩(sh霉)鐨勮悐甯冨凹鑼ㄥ垽鍒ユ硶锛�

4锛庢帉鎻″啰绱氭暩(sh霉)鏀舵杺鍗婂緫銆佹敹鏂傚崁(q奴)闁撳強鏀舵杺鍩熺殑姒傚康鑸囨眰瑙f柟娉曪紟

5锛庣悊瑙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(xi脿ng)姹傚皫(d菐o)鍜岄€愰爡(xi脿ng)绌嶅垎锛夛紝骞舵眰瑙g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)锛�

    6锛庢帉鎻x锛�sin x 锛�cos x 锛�ln(1+x) 鍙�(1+x) 鐨勯亥鍏嬪嫗鏋楋紙Maclaurin锛夊睍闁嬪紡锛�

    锛堝叚锛夊父寰垎鏂圭▼

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2锛庢帉鎻¤畩閲忓彲鍒嗛洟鐨勫井鍒嗘柟绋嬶紟榻婃寰垎鏂圭▼鍜屼竴闅庣窔鎬у井鍒嗘柟绋嬬殑姹傝В鏂规硶锛�

3锛庢帉鎻℃眰瑙d簩闅庡父绯绘暩(sh霉)榻婃绶氭€у井鍒嗘柟绋嬶紟

4锛庣悊瑙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)瀹氱悊锛岃兘澶犳眰瑙h嚜鐢遍爡(xi脿ng)鐐哄闋�(xi脿ng)寮�銆佹寚鏁�(sh霉)鍑芥暩(sh霉)銆佹寮﹀嚱鏁�(sh霉)銆佷綑寮﹀嚱鏁�(sh霉)鐨勪簩闅庡父绯绘暩(sh霉)闈為綂娆$窔鎬у井鍒嗘柟绋嬶紟

5锛庤兘澶犻亱(y霉n)鐢ㄥ井鍒嗘柟绋嬫眰瑙g啊鍠噳(y墨ng)鐢ㄥ晱椤岋紟

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