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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(xu茅)鑰冭│姝峰勾鑰冪爺鐪熼銆佽€冨崥鐪熼銆佺瓟妗�锛岄儴鍒嗗(xu茅)鏍℃洿鏂拌嚦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
1
鐮旂┒鐢熷叆瀛�(xu茅)鑰冭│楂樼瓑鏁�(sh霉)瀛�(xu茅)鑰冪爺澶х侗
鑰冭│绉戠洰锛氶珮绛夋暩(sh霉)瀛�(xu茅) 601
鑰冭│褰㈠紡鍜岃│鍗风祼(ji茅)妲�(g貌u)
涓€銆佽│鍗锋豢鍒嗗強鑰冭│鏅傞枔
瑭﹀嵎婊垮垎鐐� 150 鍒�锛岃€冭│鏅傞枔鐐� 180 鍒嗛悩锛�
浜�銆佺瓟椤屾柟寮�
绛旈鏂瑰紡鐐洪枆鍗�銆佺瓎瑭︼紟
涓夈€佽│鍗峰収(n猫i)瀹圭祼(ji茅)妲�(g貌u)
楂樼瓑鏁欏(xu茅) 100锛�
鍥�銆佽│鍗烽鍨嬬祼(ji茅)妲�(g貌u)
鍠爡閬告搰椤� 10 灏忛锛屾瘡灏忛 4 鍒�锛屽叡 40 鍒�
濉┖椤� 10 灏忛锛屾瘡灏忛 4 鍒�锛屽叡 40 鍒�
瑙ｇ瓟椤岋紙鍖呮嫭璀夋槑椤岋級 7 灏忛锛屽叡 70 鍒�
楂樼瓑鏁�(sh霉)瀛�(xu茅)
涓€銆佸嚱鏁�(sh霉)銆佹サ闄愩€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� 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� 寰�(f霉)鍚堝嚱鏁�(sh霉)銆佸弽鍑芥暩(sh霉)銆�
鍒嗘鍑芥暩(sh霉)鍜岄毐鍑芥暩(sh霉) 鍩烘湰鍒濈瓑鍑芥暩(sh霉)鐨勬€ц唱(zh矛)鍙婂叾鍦栧舰 鍒濈瓑鍑芥暩(sh霉) 鍑芥暩(sh霉)闂�(gu膩n)绯荤殑寤虹珛
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) 鍑芥暩(sh霉)鐨勫乏妤甸檺鑸囧彸妤甸檺 鐒＄灏忛噺鍜岀劇绐ぇ閲�
鐨勬蹇靛強鍏堕棞(gu膩n)绯� 鐒＄灏忛噺鐨勬€ц唱(zh矛)鍙婄劇绐皬閲忕殑姣旇純 妤甸檺鐨勫洓鍓囬亱绠� 妤甸檺瀛樺湪鐨勫叐鍊�
婧栧墖锛氬柈瑾�(di脿o)鏈夌晫婧栧墖鍜屽ぞ閫兼簴鍓� 鍏╁€嬮噸瑕佹サ闄愶細
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鍑芥暩(sh霉)閫ｇ簩(x霉)鐨勬蹇� 鍑芥暩(sh霉)闁撴柗榛炵殑椤炲瀷 鍒濈瓑鍑芥暩(sh霉)鐨勯€ｇ簩(x霉)鎬� 闁夊崁(q奴)闁撲笂閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)
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〃绀烘硶锛屽苟鏈冨缓绔嬫噳(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€�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(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锛庣悊瑙ｆサ闄愮殑姒傚康锛岀悊瑙ｅ嚱鏁�(sh霉)宸︽サ闄愯垏鍙虫サ闄愮殑姒傚康浠ュ強鍑芥暩(sh霉)妤甸檺瀛樺湪鑸囧乏妤甸檺銆佸彸
妤甸檺涔嬮枔鐨勯棞(gu膩n)绯伙紟
6锛庢帉鎻℃サ闄愮殑鎬ц唱(zh矛)鍙婂洓鍓囬亱绠楁硶鍓囷紟
7锛庢帉鎻℃サ闄愬瓨鍦ㄧ殑鍏╁€嬫簴鍓囷紝骞舵渻鍒╃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�
鏂规硶锛�
8锛庣悊瑙ｇ劇绐皬閲忋€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
妤甸檺锛�
9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)锛夛紝鏈冨垽鍒ュ嚱鏁�(sh霉)闁撴柗榛炵殑椤炲瀷锛�
2
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�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€с€�
鏈€澶у€煎拰鏈€灏忓€煎畾鐞�銆佷粙鍊煎畾鐞嗭級锛屽苟鏈冩噳(y墨ng)鐢ㄩ€欎簺鎬ц唱(zh矛)锛�
浜�銆佷竴鍏冨嚱鏁�(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 灏�(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇╁拰鐗╃悊鎰忕京 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�
骞抽潰鏇茬窔鐨勫垏绶氬拰娉曠窔 灏�(d菐o)鏁�(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(d菐o)鏁�(sh霉) 寰�(f霉)鍚堝嚱鏁�(sh霉)銆佸弽鍑�
鏁�(sh霉)銆侀毐鍑芥暩(sh霉)浠ュ強鍙冩暩(sh霉)鏂圭▼鎵€纰哄畾鐨勫嚱鏁�(sh霉)鐨勫井鍒嗘硶 楂橀殠灏�(d菐o)鏁�(sh霉) 涓€闅庡井鍒嗗舰寮忕殑涓嶈畩鎬� 寰垎
涓€煎畾鐞� 娲涘繀閬旓紙L'Hospital锛夋硶鍓� 鍑芥暩(sh霉)鍠(di脿o)鎬х殑鍒ゅ垾 鍑芥暩(sh霉)鐨勬サ鍊� 鍑芥暩(sh霉)鍦栧舰鐨勫嚬鍑�
鎬�銆佹嫄榛炲強婕歌繎绶� 鍑芥暩(sh霉)鍦栧舰鐨勬弿绻� 鍑芥暩(sh霉)鐨勬渶澶у€艰垏鏈€灏忓€� 寮у井鍒� 鏇茬巼鐨勬蹇� 鏇茬巼
鍦撹垏鏇茬巼鍗婂緫
鑰冭│瑕佹眰
1锛庣悊瑙ｅ皫(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)绯伙紝鐞嗚В灏�(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇�锛屾渻姹傚钩闈�
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╋紝鏈冪敤灏�(d菐o)鏁�(sh霉)鎻忚堪涓€浜涚墿鐞嗛噺锛岀悊瑙ｅ嚱鏁�(sh霉)鐨�
鍙皫(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锛庢帉鎻″皫(d菐o)鏁�(sh霉)鐨勫洓鍓囬亱绠楁硶鍓囧拰寰�(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)鍏紡锛庝簡
瑙ｅ井鍒嗙殑鍥涘墖閬嬬畻娉曞墖鍜屼竴闅庡井鍒嗗舰寮忕殑涓嶈畩鎬�锛屾渻姹傚嚱鏁�(sh霉)鐨勫井鍒嗭紟
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)锛�
4锛庢渻姹傚垎娈靛嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛屾渻姹傞毐鍑芥暩(sh霉)鍜岀敱鍙冩暩(sh霉)鏂圭▼鎵€纰哄畾鐨勫嚱鏁�(sh霉)浠ュ強鍙嶅嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛�
5锛庣悊瑙ｅ苟鏈冪敤缇呯埦锛圧olle锛夊畾鐞�銆佹媺鏍兼湕鏃ワ紙Lagrange锛変腑鍊煎畾鐞嗗拰娉板嫆锛圱aylor锛夊畾
鐞�锛屼簡瑙ｅ苟鏈冪敤鏌タ( Cauchy 锛変腑鍊煎畾鐞嗭紟
6锛庢帉鎻＄敤娲涘繀閬旀硶鍓囨眰鏈畾寮忔サ闄愮殑鏂规硶锛�
7锛庣悊瑙ｅ嚱鏁�(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€煎拰鏈€灏忓€肩殑姹傛硶鍙婂叾鎳�(y墨ng)鐢紟
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
( ) 0f x?? ? 鏅�锛� ( )f x 鐨勫湒褰㈡槸鍑圭殑锛涚暥 ( ) 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
鐨勬嫄榛炰互鍙婃按骞�銆侀墰鐩村拰鏂滄几杩戠窔锛屾渻鎻忕躬鍑芥暩(sh霉)鐨勫湒褰紟
9锛庝簡瑙ｆ洸鐜�銆佹洸鐜囧湏鍜屾洸鐜囧崐寰戠殑姒傚康锛屾渻瑷堢畻鏇茬巼鍜屾洸鐜囧崐寰戯紟
涓�銆佷竴鍏冨嚱鏁�(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 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�(d菐o)鏁�(sh霉) 鐗涢爴-钀婂竷灏艰尐(Newton-Leibniz)鍏紡
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 鏈夌悊鍑芥暩(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)鐨勬湁鐞嗗紡鍜岀啊鍠劇鐞嗗嚱
鏁�(sh霉)鐨勭⿳鍒� 鍙嶅父锛堝唬缇╋級绌嶅垎 瀹氱⿳鍒嗙殑鎳�(y墨ng)鐢�
鑰冭│瑕佹眰
1锛庣悊瑙ｅ師鍑芥暩(sh霉)鐨勬蹇�锛岀悊瑙ｄ笉瀹氱⿳鍒嗗拰瀹氱⿳鍒嗙殑姒傚康锛�
2锛庢帉鎻′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锛庢渻姹傛湁鐞嗗嚱鏁�(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)鏈夌悊寮忓拰绨″柈鐒＄悊鍑芥暩(sh霉)鐨勭⿳鍒嗭紟
4锛庣悊瑙ｇ⿳鍒嗕笂闄愮殑鍑芥暩(sh霉)锛屾渻姹傚畠鐨勫皫(d菐o)鏁�(sh霉)锛屾帉鎻＄墰闋撲竴钀婂竷灏艰尐鍏紡锛�
5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�
3
6锛庢帉鎻＄敤瀹氱⿳鍒嗚〃閬斿拰瑷堢畻涓€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�
鏃嬭綁(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�銆佸姛銆佸紩鍔涖€佸鍔�銆佽唱(zh矛)蹇冦€佸舰蹇冪瓑锛�
鍙婂嚱鏁�(sh霉)鐨勫钩鍧囧€硷紟
鍥�銆佸鍏冨嚱鏁�(sh霉)寰⿳鍒嗗(xu茅)
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�
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鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
