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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骞达紝2013骞达紱鍧囨彁渚涙敹璨�(f猫i)涓嬭級銆� 涓嬭級娴佺▼锛� 鑰冪爺鐪熼 榛�(di菐n)鎿娾€�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛�(di菐n)鎿娾€�鑰冨崥瑭﹀嵎搴�鈥� 涓嬭級
1
涓湅绉戝(xu茅)闄㈠ぇ瀛�(xu茅)纰╁＋鐮旂┒鐢熷叆瀛�(xu茅)鑰冭│
楂樼瓑鏁�(sh霉)瀛�(xu茅)锛堜箼锛夎€冭│澶х侗
涓€銆� 鑰� 瑭� 鎬� 璩�(zh矛)
涓湅绉戝(xu茅)闄㈠ぇ瀛�(xu茅)纰╁＋鐮旂┒鐢熷叆瀛�(xu茅)楂樼瓑鏁�(sh霉)瀛�(xu茅)锛堜箼锛夎€冭│鏄偤鎷涙敹鐞嗗(xu茅)闈炴暩(sh霉)瀛�(xu茅)灏堟キ(y猫)纰╁＋鐮�
绌剁敓鑰岃ō(sh猫)缃殑閬告嫈鑰冭│銆傚畠鐨勪富瑕佺洰鐨勬槸娓│鑰冪敓鐨勬暩(sh霉)瀛�(xu茅)绱犺唱(zh矛)锛屽寘鎷皪楂樼瓑鏁�(sh霉)瀛�(xu茅)鍚勯爡鍏�(n猫i)瀹�
鐨勬帉鎻＄▼搴﹀拰鎳�(y墨ng)鐢ㄧ浉闂�(gu膩n)鐭ヨ瓨瑙ｆ焙鍟忛鐨勮兘鍔�?锛熻崥鍣肺块瑒闁扳挀灏ょ彇顗嘥澹爺绌剁敓鍏ュ(xu茅)鑰冭│銆�
骞跺牨鑰冨ぇ姘ｇ墿鐞嗗(xu茅)鑸囧ぇ姘ｇ挵(hu谩n)澧冦€佹埃璞″(xu茅)銆佸ぉ鏂囨妧琛�(sh霉)鑸囨柟娉�銆佸湴鐞冩祦楂斿姏瀛�(xu茅)銆佸浐楂斿湴鐞冪墿鐞�
瀛�(xu茅)銆佺う鐗╁(xu茅)銆佸窎鐭冲(xu茅)銆佺う搴婂(xu茅)銆佹(g貌u)閫犲湴璩�(zh矛)瀛�(xu茅)銆佺鍥涚磤(j矛)鍦拌唱(zh矛)瀛�(xu茅)銆佸湴鍦栧(xu茅)鑸囧湴鐞嗕俊鎭郴绲�(t菕ng)銆佽嚜
鐒跺湴鐞嗗(xu茅)銆佷汉鏂囧湴鐞嗗(xu茅)銆佸彜鐢熺墿瀛�(xu茅)鑸囧湴灞ゅ(xu茅)銆佺敓鐗╃墿鐞嗗(xu茅)銆佺敓鐗╁寲瀛�(xu茅)鑸囧垎瀛愮敓鐗╁(xu茅)銆佺墿鐞�
鍖栧(xu茅)銆佺劇姗�(j墨)鍖栧(xu茅)銆佸垎鏋愬寲瀛�(xu茅)銆侀珮鍒嗗瓙鍖栧(xu茅)鑸囩墿鐞嗐€佸湴鐞冨寲瀛�(xu茅)銆佹捣娲嬪寲瀛�(xu茅)銆佹捣娲嬬敓鐗╁(xu茅)銆佹
鐗╁(xu茅)銆佺敓鎱�(t脿i)瀛�(xu茅)銆佺挵(hu谩n)澧冪瀛�(xu茅)銆佺挵(hu谩n)澧冨伐绋�銆佸湡澹ゅ(xu茅)绛夊皥妤�(y猫)鐨勮€冪敓銆�
浜�銆佽€冭│鐨勫熀鏈姹�
瑕佹眰鑰冪敓姣旇純绯荤当(t菕ng)鍦扮悊瑙ｉ珮绛夋暩(sh霉)瀛�(xu茅)鐨勫熀鏈蹇靛拰鍩烘湰鐞嗚珫锛屾帉鎻￠珮绛夋暩(sh霉)瀛�(xu茅)鐨勫熀鏈柟
娉�銆傝姹傝€冪敓鍏锋湁鎶借薄鎬濈董鑳藉姏銆侀倧杓帹鐞嗚兘鍔涖€佺┖闁撴兂璞¤兘鍔�銆佹暩(sh霉)瀛�(xu茅)閬�(y霉n)绠楄兘鍔涘拰缍滃悎閬�(y霉n)
鐢ㄦ墍瀛�(xu茅)鐨勭煡璀樺垎鏋愬晱椤屽拰瑙ｆ焙鍟忛鐨勮兘鍔�銆�
涓夈€佽€冭│鏂瑰紡鍜岃€冭│鏅傞枔
楂樼瓑鏁�(sh霉)瀛�(xu茅)锛堜箼锛夎€冭│閲囩敤闁夊嵎绛嗚│褰㈠紡锛岃│鍗锋豢鍒嗙偤 150 鍒�锛岃€冭│鏅傞枔鐐� 180 鍒嗛悩銆�
鍥�銆佽€冭│鍏�(n猫i)瀹瑰拰鑰冭│瑕佹眰
锛堜竴锛夊嚱鏁�(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� 鍑芥暩(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�(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
鏁�(sh霉)鍒楁サ闄愯垏鍑芥暩(sh霉)妤甸檺鐨勬蹇� 鐒＄灏忓拰鐒＄澶х殑姒傚康鍙婂叾闂�(gu膩n)绯� 鐒＄灏忕殑鎬ц唱(zh矛)鍙婄劇绐皬
鐨勬瘮杓� 妤甸檺鐨勫洓鍓囬亱(y霉n)绠� 妤甸檺瀛樺湪鐨勫柈瑾�(di脿o)鏈夌晫婧�(zh菙n)鍓囧拰澶鹃€兼簴(zh菙n)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�(di菐n)鐨勯鍨� 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) 鍑芥暩(sh霉)鐨�
涓€鑷撮€ｇ簩(x霉)鎬ф蹇�
鑰冭│瑕佹眰
1. 鐞嗚В鍑芥暩(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嬬啊鍠噳(y墨ng)鐢ㄥ晱椤屼腑鐨勫嚱鏁�(sh霉)闂�(gu膩n)绯诲紡銆�
2. 鐞嗚В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с€傛帉鎻″垽鏂峰嚱鏁�(sh霉)閫欎簺鎬ц唱(zh矛)鐨勬柟娉�銆�
3. 鐞嗚В寰�(f霉)鍚堝嚱鏁�(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�銆傛渻姹傜郸瀹氬嚱鏁�(sh霉)鐨勫京(f霉)鍚堝嚱鏁�(sh霉)鍜屽弽
鍑芥暩(sh霉)銆�
4. 鎺屾彙鍩烘湰鍒濈瓑鍑芥暩(sh霉)鐨勬€ц唱(zh矛)鍙婂叾鍦栧舰銆�
5. 鐞嗚В妤甸檺鐨勬蹇碉紝鐞嗚В鍑芥暩(sh霉)宸︽サ闄愯垏鍙虫サ闄愮殑姒傚康锛屼互鍙婂嚱鏁�(sh霉)妤甸檺瀛樺湪鑸囧乏銆佸彸妤�
闄愪箣闁撶殑闂�(gu膩n)绯汇€�
6. 鎺屾彙妤甸檺鐨勬€ц唱(zh矛)鍙婂洓鍓囬亱(y霉n)绠楁硶鍓囷紝鏈冮亱(y霉n)鐢ㄥ畠鍊戦€�(j矛n)琛屼竴浜涘熀鏈殑鍒ゆ柗鍜岃▓绠�銆�
2
7. 鎺屾彙妤甸檺瀛樺湪鐨勫叐鍊嬫簴(zh菙n)鍓囷紝骞舵渻鍒╃敤瀹冨€戞眰妤甸檺銆傛帉鎻″埄鐢ㄥ叐鍊嬮噸瑕佹サ闄愭眰妤甸檺鐨�
鏂规硶銆�
8. 鐞嗚В鐒＄灏�銆佺劇绐ぇ鐨勬蹇�锛屾帉鎻＄劇绐皬鐨勬瘮杓冩柟娉�锛屾渻鐢ㄧ瓑鍍圭劇绐皬姹傛サ闄�銆�
9. 鐞嗚В鍑芥暩(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�(di菐n)鐨勯鍨�銆�
10. 鎺屾彙閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勯亱(y霉n)绠楁€ц唱(zh矛)鍜屽垵绛夊嚱鏁�(sh霉)鐨勯€ｇ簩(x霉)鎬э紝鐔熸倝闁夊崁(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�銆佷粙鍊煎畾鐞嗙瓑锛�锛屽苟鏈冩噳(y墨ng)鐢ㄩ€欎簺鎬ц唱(zh矛)銆�
锛堜簩锛変竴鍏冨嚱鏁�(sh霉)寰垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
灏�(d菐o)鏁�(sh霉)鐨勬蹇� 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�
绶氱殑鍒囩窔鍜屾硶绶� 鍩烘湰鍒濈瓑鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉) 灏�(d菐o)鏁�(sh霉)鐨勫洓鍓囬亱(y霉n)绠� 寰�(f霉)鍚堝嚱鏁�(sh霉)銆佸弽鍑芥暩(sh霉)銆侀毐鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉)
鐨勬眰娉� 鍙冩暩(sh霉)鏂圭▼鎵€纰哄畾鐨勫嚱鏁�(sh霉)鐨勬眰灏�(d菐o)鏂规硶 楂橀殠灏�(d菐o)鏁�(sh霉)鐨勬蹇� 楂橀殠灏�(d菐o)鏁�(sh霉)鐨勬眰娉� 寰垎鐨勬蹇�
鍜屽井鍒嗙殑骞句綍鎰忕京 鍑芥暩(sh霉)鍙井鑸囧彲灏�(d菐o)鐨勯棞(gu膩n)绯� 寰垎鐨勯亱(y霉n)绠楁硶鍓囧強鍑芥暩(sh霉)寰垎鐨勬眰娉� 涓€闅庡井鍒嗗舰
寮忕殑涓嶈畩鎬� 寰垎鍦ㄨ繎浼艰▓绠椾腑鐨勬噳(y墨ng)鐢� 寰垎涓€煎畾鐞� 娲涘繀閬�(d谩)锛圠鈥橦ospital锛夋硶鍓� 娉板嫆
(Taylor)鍏紡 鍑芥暩(sh霉)鐨勬サ鍊� 鍑芥暩(sh霉)鏈€澶у€煎拰鏈€灏忓€� 鍑芥暩(sh霉)鍠(di脿o)鎬� 鍑芥暩(sh霉)鍦栧舰鐨勫嚬鍑告€с€佹嫄榛�(di菐n)鍙婃几
杩戠窔 鍑芥暩(sh霉)鍦栧舰鐨勬弿绻�
鑰冭│瑕佹眰
1. 鐞嗚В灏�(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╋紝鏈冩眰骞抽潰
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�锛屾渻鐢ㄥ皫(d菐o)鏁�(sh霉)鎻忚堪涓€浜涚墿鐞嗛噺锛屾帉鎻″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�銆�
2. 鎺屾彙灏�(d菐o)鏁�(sh霉)鐨勫洓鍓囬亱(y霉n)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)鐨勬眰灏�(d菐o)鍏紡銆�
浜嗚В寰垎鐨勫洓鍓囬亱(y霉n)绠楁硶鍓囧拰涓€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�銆�
3. 浜嗚В楂橀殠灏�(d菐o)鏁�(sh霉)鐨勬蹇碉紝鏈冩眰绨″柈鍑芥暩(sh霉)鐨� n 闅庡皫(d菐o)鏁�(sh霉)銆�
4. 鏈冩眰鍒嗘鍑芥暩(sh霉)鐨勪竴闅�銆佷簩闅庡皫(d菐o)鏁�(sh霉)銆�
5. 鏈冩眰闅卞嚱鏁�(sh霉)鍜岀敱鍙冩暩(sh霉)鏂圭▼鎵€纰哄畾鐨勫嚱鏁�(sh霉)鐨勪竴闅�銆佷簩闅庡皫(d菐o)鏁�(sh霉)
6. 鏈冩眰鍙嶅嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)銆�
7. 鐞嗚В骞舵渻鐢ㄧ緟鐖惧畾鐞�銆佹媺鏍兼湕鏃ヤ腑鍊煎畾鐞嗗拰娉板嫆瀹氱悊銆�
8. 鐞嗚В鍑芥暩(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€肩殑姹傛硶鍙婂叾绨″柈鎳�(y墨ng)鐢�銆�
9. 鏈冪敤灏�(d菐o)鏁�(sh霉)鍒ゆ柗鍑芥暩(sh霉)鍦栧舰鐨勫嚬鍑告€�锛屾渻姹傚嚱鏁�(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�
绶�锛屾渻鎻忕躬鍑芥暩(sh霉)鐨勫湒褰€€�
10. 鎺屾彙鐢ㄦ礇蹇呴仈(d谩)娉曞墖姹傛湭瀹氬紡妤甸檺鐨勬柟娉�銆�
锛堜笁锛変竴鍏冨嚱鏁�(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�
鎬ц唱(zh矛) 瀹氱⿳鍒嗕腑鍊煎畾鐞� 璁婁笂闄愬畾绌嶅垎瀹氱京鐨勫嚱鏁�(sh霉)鍙婂叾灏�(d菐o)鏁�(sh霉) 鐗涢爴锛嶈悐甯冨凹鑼紙Newton锛�
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 鏈夌悊鍑芥暩(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)鐨勬湁鐞�
寮忓拰绨″柈鐒＄悊鍑芥暩(sh霉)鐨勭⿳鍒� 寤ｇ京绌嶅垎锛堢劇绐檺绌嶅垎銆佺憰绌嶅垎锛� 瀹氱⿳鍒嗙殑鎳�(y墨ng)鐢�
鑰冭│瑕佹眰
1. 鐞嗚В鍘熷嚱鏁�(sh霉)鐨勬蹇�锛岀悊瑙ｄ笉瀹氱⿳鍒嗗拰瀹氱⿳鍒嗙殑姒傚康銆�
2. 鐔熺反鎺屾彙涓嶅畾绌嶅垎鐨勫熀鏈叕寮忥紝鎺屾彙涓嶅畾绌嶅垎鍜屽畾绌嶅垎鐨勬€ц唱(zh矛)鍙婂畾绌嶅垎涓€煎畾鐞�銆�
鎺屾彙鐗涢爴锛嶈悐甯冨凹鑼ㄥ叕寮忋€傛帉鎻′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�
3. 鏈冩眰鏈夌悊鍑芥暩(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⿳鍒嗐€�
3
4. 鐞嗚В璁婁笂闄愬畾绌嶅垎瀹氱京鐨勫嚱鏁�(sh霉)锛屾渻姹傚畠鐨勫皫(d菐o)鏁�(sh霉)銆�
5. 鐞嗚В寤ｇ京绌嶅垎锛堢劇绐檺绌嶅垎銆佺憰绌嶅垎锛夌殑姒傚康锛屾帉鎻＄劇绐檺绌嶅垎銆佺憰绌嶅垎鐨勬敹鏂傛€�
鍒ゅ垾娉曪紝鏈冭▓绠椾竴浜涚啊鍠殑寤ｇ京绌嶅垎銆�
6. 鎺屾彙鐢ㄥ畾绌嶅垎琛ㄩ仈(d谩)鍜岃▓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�
闀�銆佹棆杞�(zhu菐n)楂旂殑楂旂⿳鍙婂伌(c猫)闈㈢⿳銆佹埅闈㈤潰绌嶇偤宸茬煡鐨勭珛楂旈珨绌�銆佸姛銆佸紩鍔�銆佸鍔涳級鍙婂嚱鏁�(sh霉)鐨勫钩
鍧囧€�銆�
锛堝洓锛夊悜閲忎唬鏁�(sh霉)鍜岀┖闁撹В鏋愬咕浣�
鑰冭│鍏�(n猫i)瀹�
鍚戦噺鐨勬蹇� 鍚戦噺鐨勭窔鎬ч亱(y霉n)绠� 鍚戦噺鐨勬暩(sh霉)閲忕⿳銆佸悜閲忕⿳鍜屾贩鍚堢⿳ 鍏╁悜閲忓瀭鐩�銆佸钩琛岀殑
姊濅欢 鍏╁悜閲忕殑澶捐 鍚戦噺鐨勫潗妯�(bi膩o)琛ㄩ仈(d谩)寮忓強鍏堕亱(y霉n)绠� 鍠綅鍚戦噺 鏂瑰悜鏁�(sh霉)鑸囨柟鍚戜綑寮� 鏇查潰鏂圭▼鍜�
绌洪枔鏇茬窔鏂圭▼鐨勬蹇� 骞抽潰鏂圭▼銆佺洿绶氭柟绋� 骞抽潰鑸囧钩闈€€佸钩闈㈣垏鐩寸窔銆佺洿绶氳垏鐩寸窔鐨勫ぞ瑙�
浠ュ強骞宠銆佸瀭鐩寸殑姊濅欢 榛�(di菐n)鍒板钩闈㈠拰榛�(di菐n)鍒扮洿绶氱殑璺濋洟 鐞冮潰 姣嶇窔骞宠浜庡潗妯�(bi膩o)杌哥殑鏌遍潰 鏃嬭綁(zhu菐n)
杌哥偤鍧愭(bi膩o)杌哥殑鏃嬭綁(zhu菐n)鏇查潰鐨勬柟绋� 甯哥敤鐨勪簩娆℃洸闈㈡柟绋嬪強鍏跺湒褰� 绌洪枔鏇茬窔鐨勫弮鏁�(sh霉)鏂圭▼鍜屼竴鑸�
鏂圭▼ 绌洪枔鏇茬窔鍦ㄥ潗妯�(bi膩o)闈笂鐨勬姇褰辨洸绶氭柟绋�
鑰冭│瑕佹眰
1. 鐔熸倝绌洪枔鐩磋鍧愭(bi膩o)绯�锛岀悊瑙ｅ悜閲忓強鍏舵ā鐨勬蹇点€�
2. 鐔熸倝鍚戦噺鐨勯亱(y霉n)绠�(绶氭€ч亱(y霉n)绠�銆佹暩(sh霉)閲忕⿳銆佸悜閲忕⿳)锛屾帉鎻″叐鍊嬪悜閲忓瀭鐩�銆佸钩琛岀殑姊濅欢銆�
3. 鐞嗚В鏂瑰悜鏁�(sh霉)鑸囨柟鍚戜綑寮�銆佸悜閲忕殑鍧愭(bi膩o)琛ㄩ仈(d谩)寮�锛屾渻鐢ㄥ潗妯�(bi膩o)琛ㄩ仈(d谩)寮忛€�(j矛n)琛屽悜閲忕殑閬�(y霉n)绠�銆�
4. 鐔熸倝骞抽潰鏂圭▼鍜岀┖闁撶洿绶氭柟绋嬬殑鍚勭ó褰㈠紡锛岀啛绶存帉鎻″钩闈㈡柟绋嬪拰绌洪枔鐩寸窔鏂圭▼鐨勬眰
娉�銆�
5. 鏈冩眰骞抽潰鑸囧钩闈�銆佸钩闈㈣垏鐩寸窔銆佺洿绶氳垏鐩寸窔涔嬮枔鐨勫ぞ瑙�锛屽苟鏈冨埄鐢ㄥ钩闈€€佺洿绶氱殑鐩�
浜掗棞(gu膩n)绯伙紙骞宠銆佸瀭鐩淬€佺浉浜ょ瓑锛夎В姹烘湁闂�(gu膩n)鍟忛銆�
6. 鏈冩眰绌洪枔鍏╅粸(di菐n)闁撶殑璺濋洟銆侀粸(di菐n)鍒扮洿绶氱殑璺濋洟浠ュ強榛�(di菐n)鍒板钩闈㈢殑璺濋洟銆�
7. 浜嗚В绌洪枔鏇茬窔鏂圭▼鍜屾洸闈㈡柟绋嬬殑姒傚康銆�
8. 浜嗚В绌洪枔鏇茬窔鐨勫弮鏁�(sh霉)鏂圭▼鍜屼竴鑸柟绋�銆備簡瑙ｇ┖闁撴洸绶氬湪鍧愭(bi膩o)骞抽潰涓婄殑鎶曞奖锛屽苟鏈冩眰
鍏舵柟绋�銆�
9. 浜嗚В甯哥敤浜屾鏇查潰鐨勬柟绋嬨€佸湒褰㈠強鍏舵埅鐥�锛屾渻姹備互鍧愭(bi膩o)杌哥偤鏃嬭綁(zhu菐n)杌哥殑鏃嬭綁(zhu菐n)鏇查潰鍙婃瘝
绶氬钩琛屼簬鍧愭(bi膩o)杌哥殑鏌遍潰鏂圭▼銆�
锛堜簲锛夊鍏冨嚱鏁�(sh霉)寰垎瀛�(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)鐨勬サ闄愬拰閫ｇ簩(x霉) 鏈夌晫闁夊崁(q奴)鍩熶笂澶氬厓閫�
绾�(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛) 澶氬厓鍑芥暩(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鍜屽叏寰垎鐨勬蹇靛強姹傛硶 澶氬厓寰�(f霉)鍚堝嚱鏁�(sh霉)銆侀毐鍑芥暩(sh霉)鐨勬眰灏�(d菐o)娉�
楂橀殠鍋忓皫(d菐o)鏁�(sh霉)鐨勬眰娉� 绌洪枔鏇茬窔鐨勫垏绶氬拰娉曞钩闈� 鏇查潰鐨勫垏骞抽潰鍜屾硶绶� 鏂瑰悜?q奴)顫�?sh霉)鍜屾搴� 浜屽厓
鍑芥暩(sh霉)鐨勬嘲鍕掑叕寮� 澶氬厓鍑芥暩(sh霉)鐨勬サ鍊煎拰姊濅欢妤靛€� 鎷夋牸鏈楁棩涔樻暩(sh霉)娉� 澶氬厓鍑芥暩(sh霉)鐨勬渶澶у€笺€佹渶灏忓€�
鍙婂叾绨″柈鎳�(y墨ng)鐢�
鑰冭│瑕佹眰
1. 鐞嗚В澶氬厓鍑芥暩(sh霉)鐨勬蹇�銆佺悊瑙ｄ簩鍏冨嚱鏁�(sh霉)鐨勫咕浣曟剰缇�銆�
2. 鐞嗚В浜屽厓鍑芥暩(sh霉)鐨勬サ闄愯垏閫ｇ簩(x霉)鎬х殑姒傚康鍙婂熀鏈亱(y霉n)绠楁€ц唱(zh矛)锛屼簡瑙ｆ湁鐣岄枆鍗€(q奴)鍩熶笂閫ｇ簩(x霉)鍑芥暩(sh霉)
鐨勬€ц唱(zh矛)锛屾渻鍒ゆ柗浜屽厓鍑芥暩(sh霉)鍦ㄥ凡鐭ラ粸(di菐n)铏曟サ闄愮殑瀛樺湪鎬у拰閫ｇ簩(x霉)鎬�銆�
3. 鐞嗚В澶氬厓鍑芥暩(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鍜屽叏寰垎鐨勬蹇� 浜嗚В浜屽厓鍑芥暩(sh霉)鍙井銆佸亸灏�(d菐o)鏁�(sh霉)瀛樺湪鍙婇€ｇ簩(x霉)鐨勯棞(gu膩n)
绯伙紝鏈冩眰鍋忓皫(d菐o)鏁�(sh霉)鍜屽叏寰垎銆�
4
4. 鐔熺反鎺屾彙澶氬厓寰�(f霉)鍚堝嚱鏁�(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鐨勬眰娉�銆�
5. 鎺屾彙闅卞嚱鏁�(sh霉)鐨勬眰灏�(d菐o)娉曞墖銆�
6. 鐞嗚В鏂瑰悜?q奴)顫�?sh霉)鑸囨搴︾殑姒傚康骞舵帉鎻″叾瑷堢畻鏂规硶銆�
7. 鐞嗚В鏇茬窔鐨勫垏绶氬拰娉曞钩闈㈠強鏇查潰鐨勫垏骞抽潰鍜屾硶绶氱殑姒傚康锛屾渻姹傚畠鍊戠殑鏂圭▼銆�
8. 浜嗚В浜屽厓鍑芥暩(sh霉)鐨勪簩闅庢嘲鍕掑叕寮�銆�
9. 鐞嗚В澶氬厓鍑芥暩(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€硷紝鏈�
姹傜啊鍠鍏冨嚱鏁�(sh霉)鐨勬渶澶у€�銆佹渶灏忓€�锛屽苟鏈冭В姹轰竴浜涚啊鍠殑鎳�(y墨ng)鐢ㄥ晱椤屻€�
锛堝叚锛夊鍏冨嚱鏁�(sh霉)绌嶅垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
浜岄噸绌嶅垎銆佷笁閲嶇⿳鍒嗙殑姒傚康鍙婃€ц唱(zh矛) 浜岄噸绌嶅垎鑸囦笁閲嶇⿳鍒嗙殑瑷堢畻鍜屾噳(y墨ng)鐢� 鍏╅鏇茬窔绌嶅垎
鐨勬蹇�銆佹€ц唱(zh矛)鍙婅▓绠� 鍏╅鏇茬窔绌嶅垎涔嬮枔鐨勯棞(gu膩n)绯� 鏍兼灄锛圙reen锛夊叕寮� 骞抽潰鏇茬窔绌嶅垎鑸囪矾寰�
鐒￠棞(gu膩n)鐨勬浠� 宸茬煡鍏ㄥ井鍒嗘眰鍘熷嚱鏁�(sh霉) 鍏╅鏇查潰绌嶅垎鐨勬蹇点€佹€ц唱(zh矛)鍙婅▓绠� 鍏╅鏇查潰绌嶅垎涔嬮枔鐨�
闂�(gu膩n)绯� 楂樻柉锛圙auss锛夊叕寮� 鏂墭鍏嬫柉锛圫tokes锛夊叕寮� 鏁ｅ害銆佹棆搴︾殑姒傚康鍙婅▓绠� 鏇茬窔绌嶅垎鍜�
鏇查潰绌嶅垎鐨勬噳(y墨ng)鐢�
鑰冭│瑕佹眰
1. 鐞嗚В浜岄噸绌嶅垎銆佷笁閲嶇⿳鍒嗙殑姒傚康锛屾帉鎻￠噸绌嶅垎鐨勬€ц唱(zh矛)銆�
2. 鐔熺反鎺屾彙浜岄噸绌嶅垎鐨勮▓绠楁柟娉曪紙鐩磋鍧愭(bi膩o)銆佹サ鍧愭(bi膩o)锛夛紝鏈冭▓绠椾笁閲嶇⿳鍒嗭紙鐩磋鍧�
妯�(bi膩o)銆佹煴闈㈠潗妯�(bi膩o)銆佺悆闈㈠潗妯�(bi膩o)锛夛紝鎺屾彙浜岄噸绌嶅垎鐨勬彌鍏冩硶銆�
3. 鐞嗚В鍏╅鏇茬窔绌嶅垎鐨勬蹇�锛屼簡瑙ｅ叐椤炴洸绶氱⿳鍒嗙殑鎬ц唱(zh矛)鍙婂叐椤炴洸绶氱⿳鍒嗙殑闂�(gu膩n)绯�銆傜啛绶�
鎺屾彙瑷堢畻鍏╅鏇茬窔绌嶅垎鐨勬柟娉�銆�
4. 鐔熺反鎺屾彙鏍兼灄鍏紡锛屾渻鍒╃敤瀹冩眰鏇茬窔绌嶅垎銆傛帉鎻″钩闈㈡洸绶氱⿳鍒嗚垏璺緫鐒￠棞(gu膩n)鐨勬浠�銆�
鏈冩眰鍏ㄥ井鍒嗙殑鍘熷嚱鏁�(sh霉)銆�
5. 鐞嗚В鍏╅鏇查潰绌嶅垎鐨勬蹇�锛屼簡瑙ｅ叐椤炴洸闈㈢⿳鍒嗙殑鎬ц唱(zh矛)鍙婂叐椤炴洸闈㈢⿳鍒嗙殑闂�(gu膩n)绯�銆傜啛绶�
鎺屾彙瑷堢畻鍏╅鏇查潰绌嶅垎鐨勬柟娉�銆�
6. 鎺屾彙楂樻柉鍏紡鍜屾柉鎵樺厠鏂叕寮忥紝鏈冨埄鐢ㄥ畠鍊戣▓绠楁洸闈㈢⿳鍒嗗拰鏇茬窔绌嶅垎銆�
7. 浜嗚В鏁ｅ害銆佹棆搴︾殑姒傚康锛屽苟鏈冭▓绠�銆�
8. 鏈冪敤閲嶇⿳鍒�銆佹洸绶氱⿳鍒嗗強鏇查潰绌嶅垎姹備竴浜涘咕浣曢噺鑸囩墿鐞嗛噺锛堝钩闈㈠湒褰㈢殑闈㈢⿳銆佹洸闈�
鐨勯潰绌�銆佺墿楂旂殑楂旂⿳銆佹洸绶氱殑寮ч暦銆佺墿楂旂殑璩�(zh矛)閲�銆侀噸蹇�銆佽綁(zhu菐n)鍕曟叄閲�銆佸紩鍔涖€佸姛鍙婃祦閲�
绛夛級銆�
锛堜竷锛夌劇绐礆鏁�(sh霉)
鑰冭│鍏�(n猫i)瀹�
甯告暩(sh霉)闋呯礆鏁�(sh霉)鍙婂叾鏀舵杺鑸囩櫦(f膩)鏁ｇ殑姒傚康 鏀舵杺绱氭暩(sh霉)鐨勫拰鐨勬蹇� 绱氭暩(sh霉)鐨勫熀鏈€ц唱(zh矛)鑸囨敹鏂傜殑蹇�
瑕佹浠� 骞句綍绱氭暩(sh霉)鑸� p 绱氭暩(sh霉)鍙婂叾鏀舵杺鎬� 姝ｉ爡绱氭暩(sh霉)鏀舵杺鎬х殑鍒ゅ垾娉� 浜ら尟绱氭暩(sh霉)鑸囪悐甯冨凹鑼ㄥ畾鐞�
浠绘剰闋呯礆鏁�(sh霉)鐨勭禃灏嶆敹鏂傝垏姊濅欢鏀舵杺 鍑芥暩(sh霉)闋呯礆鏁�(sh霉)鐨勬敹鏂傚煙銆佸拰鍑芥暩(sh霉)鐨勬蹇� 鍐礆鏁�(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 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) 绨″柈鍐礆鏁�(sh霉)鐨�
鍜屽嚱鏁�(sh霉)鐨勬眰娉� 娉板嫆绱氭暩(sh霉) 鍒濈瓑鍑芥暩(sh霉)鐨勫啰绱氭暩(sh霉)灞曢枊寮� 鍑芥暩(sh霉)鐨勫啰绱氭暩(sh霉)灞曢枊寮忓湪杩戜技瑷堢畻涓殑鎳�(y墨ng)
鐢� 鍑芥暩(sh霉)鐨勫倕閲岃憠锛團ourier锛夌郴鏁�(sh霉)鑸囧倕閲岃憠绱氭暩(sh霉) 鐙勫埄鍏嬮浄锛圖irichlet锛夊畾鐞� 鍑芥暩(sh霉)鍦╗-l锛宭]
涓婄殑鍌呴噷钁夌礆鏁�(sh霉) 鍑芥暩(sh霉)鍦╗0锛宭]涓婄殑姝ｅ鸡绱氭暩(sh霉)鍜屼綑寮︾礆鏁�(sh霉)銆�
鑰冭│瑕佹眰
5
1. 鐞嗚В甯告暩(sh霉)闋呯礆鏁�(sh霉)鐨勬敹鏂�銆佺櫦(f膩)鏁ｄ互鍙婃敹鏂傜礆鏁�(sh霉)鐨勫拰鐨勬蹇�锛屾帉鎻＄礆鏁�(sh霉)鐨勫熀鏈€ц唱(zh矛)鍙婃敹
鏂傜殑蹇呰姊濅欢
2. 鎺屾彙骞句綍绱氭暩(sh霉)鑸� p 绱氭暩(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁ｆ儏娉�銆�
3. 鐔熺反鎺屾彙姝ｉ爡绱氭暩(sh霉)鏀舵杺鎬х殑鍚勭ó鍒ゅ垾娉曘€�
4. 鐔熺反鎺屾彙浜ら尟绱氭暩(sh霉)鐨勮悐甯冨凹鑼ㄥ垽鍒ユ硶銆�
5. 鐞嗚В浠绘剰闋呯礆鏁�(sh霉)鐨勭禃灏嶆敹鏂傝垏姊濅欢鏀舵杺鐨勬蹇碉紝浠ュ強绲曞皪鏀舵杺鑸囨浠舵敹鏂傜殑闂�(gu膩n)绯�銆�
6. 浜嗚В鍑芥暩(sh霉)闋呯礆鏁�(sh霉)鐨勬敹鏂傚煙鍙婂拰鍑芥暩(sh霉)鐨勬蹇�銆�
7. 鐞嗚В鍐礆鏁�(sh霉)鐨勬敹鏂傚煙銆佹敹鏂傚崐寰戠殑姒傚康锛屾帉鎻″啰绱氭暩(sh霉)鐨勬敹鏂傚崐寰戝強鏀舵杺鍩熺殑姹傛硶銆�
8. 浜嗚В鍐礆鏁�(sh霉)鍦ㄥ叾鏀舵杺鍗€(q奴)闁撳収(n猫i)鐨勪竴浜涘熀鏈€ц唱(zh矛)锛堝拰鍑芥暩(sh霉)鐨勯€ｇ簩(x霉)鎬с€侀€愰爡寰垎鍜岄€愰爡绌�
鍒嗭級锛屾渻姹備竴浜涘啰绱氭暩(sh霉)鍦ㄦ敹鏂傚崁(q奴)闁撳収(n猫i)鐨勫拰鍑芥暩(sh霉)锛屽苟鏈冪敱姝ゆ眰鍑烘煇浜涙暩(sh霉)闋呯礆鏁�(sh霉)鐨勫拰銆�
9. 浜嗚В鍑芥暩(sh霉)灞曢枊鐐烘嘲鍕掔礆鏁�(sh霉)鐨勫厖鍒嗗繀瑕佹浠躲€�
10. 鎺屾彙涓€浜涘父瑕嬪嚱鏁�(sh霉)濡� e
x
銆乻in x銆乧os x銆乴n(1+x)鍜�(1+x)
伪
绛夌殑楹ュ厠鍕炴灄灞曢枊寮�锛屾渻鐢�
瀹冨€戝皣涓€浜涚啊鍠嚱鏁�(sh霉)闁撴帴灞曢枊鎴愬啰绱氭暩(sh霉)銆�
11. 鏈冨埄鐢ㄥ嚱鏁�(sh霉)鐨勫啰绱氭暩(sh霉)灞曢枊寮忛€�(j矛n)琛岃繎浼艰▓绠�銆�
12.浜嗚В鍌呴噷钁夌礆鏁�(sh霉)鐨勬蹇靛拰鐙勫埄鍏嬮浄瀹氱悊锛屾渻灏囧畾缇╁湪[-l锛宭]涓婄殑鍑芥暩(sh霉)灞曢枊鐐哄倕閲岃憠
绱氭暩(sh霉)锛屾渻灏囧畾缇╁湪[0锛宭]涓婄殑鍑芥暩(sh霉)灞曢枊鐐烘寮︾礆鏁�(sh霉)鑸囦綑寮︾礆鏁�(sh霉)銆�
锛堝叓锛夊父寰垎鏂圭▼
鑰冭│鍏�(n猫i)瀹�
甯稿井鍒嗘柟绋嬬殑鍩烘湰姒傚康 璁婇噺鍙垎闆㈢殑寰垎鏂圭▼ 榻婃寰垎鏂圭▼ 涓€闅庣窔鎬у井鍒嗘柟绋� 浼�
鍔埄锛圔ernoulli锛夋柟绋� 鍏ㄥ井鍒嗘柟绋� 鍙敤绨″柈鐨勮畩閲忎唬鎻涙眰瑙ｇ殑鏌愪簺寰垎鏂圭▼ 鍙檷鍍圭殑楂�
闅庡井鍒嗘柟绋� 绶氭€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 浜岄殠甯哥郴鏁�(sh霉)榻婃绶氭€у井鍒嗘柟绋� 浜岄殠甯�
绯绘暩(sh霉)闈為綂娆＄窔鎬у井鍒嗘柟绋� 楂樹簬浜岄殠鐨勬煇浜涘父绯绘暩(sh霉)榻婃绶氭€у井鍒嗘柟绋� 姝愭媺锛圗uler锛夋柟绋�
寰垎鏂圭▼鐨勭啊鍠噳(y墨ng)鐢�
鑰冭│瑕佹眰
1. 鎺屾彙寰垎鏂圭▼鍙婂叾闅�銆佽В銆侀€氳В銆佸垵濮嬫浠跺拰鐗硅В绛夋蹇�銆�
2. 鐔熺反鎺屾彙璁婇噺鍙垎闆㈢殑寰垎鏂圭▼鐨勮В娉曪紝鐔熺反鎺屾彙瑙ｄ竴闅庣窔鎬у井鍒嗘柟绋嬬殑甯告暩(sh霉)璁婃槗
娉�銆�
3. 鏈冭В榻婃寰垎鏂圭▼銆佷集鍔埄鏂圭▼鍜屽叏寰垎鏂圭▼锛屾渻鐢ㄧ啊鍠殑璁婇噺浠ｆ彌瑙ｆ煇浜涘井鍒嗘柟
绋�銆�
4. 鏈冪敤闄嶉殠娉曡В涓嬪垪鏂圭▼锛歽
(n)
=f(x)锛寉鈥� =f(x锛寉鈥� )鍜� y鈥� =f(y锛寉鈥� )
5. 鐞嗚В绶氭€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�
6. 鎺屾彙浜岄殠甯哥郴鏁�(sh霉)榻婃绶氭€у井鍒嗘柟绋嬬殑瑙ｆ硶锛屽苟鏈冭В鏌愪簺楂樹簬浜岄殠鐨勫父绯绘暩(sh霉)榻婃绶氭€�
寰垎鏂圭▼銆�
7. 鏈冭В鑷敱闋呯偤澶氶爡寮�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)銆佷互鍙婂畠鍊戠殑鍜岃垏绌嶇殑浜岄殠
甯哥郴鏁�(sh霉)闈為綂娆＄窔鎬у井鍒嗘柟绋�銆�
8. 鏈冭В姝愭媺鏂圭▼銆�
9. 鐢ㄥ井鍒嗘柟绋嬭В姹轰竴浜涚啊鍠殑鎳�(y墨ng)鐢ㄥ晱椤�銆�
浜�銆佷富瑕佸弮鑰冩枃鐛�(xi脿n)
6
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鍥涚増锛屼互鍙婂叾鍚庣殑浠讳綍涓€鍊嬬増鏈潎鍙�銆�
绶ㄥ埗鍠綅锛氫腑鍦嬬瀛�(xu茅)闄㈠ぇ瀛�(xu茅)
绶ㄥ埗鏃ユ湡锛�2013 骞� 6 鏈� 27 鏃�
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
