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鍙嬫儏鎻愮ず锛氭湰绔欐彁渚涘叏鍦�(gu贸)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€冨崥鐪熼銆佺瓟妗堬紝閮ㄥ垎瀛�(xu茅)鏍℃洿鏂拌嚦2012骞�锛�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�(k霉)鈥� 涓嬭級
1
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妤�(y猫)鍕�(w霉)瑾茶€冭│澶х侗锛堝垵瑭︼級
绉戠洰浠ｇ⒓锛�602
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瑕佹眰鑰冪敓姣旇純绯荤当(t菕ng)鍦扮悊瑙ｆ暩(sh霉)瀛�(xu茅)鐨勫熀鏈蹇靛拰鍩烘湰鐞嗚珫锛屾帉鎻℃暩(sh霉)瀛�(xu茅)鐨勫熀鏈柟娉�锛岃姹傝€冪敓
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椤屽拰瑙ｆ焙鍟�(w猫n)椤岀殑鑳藉姏銆�
浜屻€佽│鍗锋豢(m菐n)鍒嗗強鑰冭│鏅�(sh铆)闁�
瑭﹀嵎婊�(m菐n)鍒嗙偤 150 鍒�锛岃€冭│鏅�(sh铆)闁撶偤 180 鍒嗛悩锛�
涓�銆佺瓟椤屾柟寮�
绛旈鏂瑰紡鐐洪枆鍗�銆佺瓎瑭︼紟
鍥�銆佽│鍗峰収(n猫i)瀹圭祼(ji茅)妲�(g貌u)
楂樼瓑鏁欏(xu茅) 112/150銆傜窔鎬т唬鏁�(sh霉) 38/150銆�
浜�銆佽│鍗烽鍨嬬祼(ji茅)妲�(g貌u)
鍠爡(xi脿ng)閬告搰椤� 8 灏忛锛堝叾涓� 2 閬撶窔鎬т唬鏁�(sh霉)锛�锛屾瘡灏忛 4 鍒�锛屽叡 32 鍒�
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瑙ｇ瓟椤岋紙鍖呮嫭璀夋槑椤岋級 9 灏忛锛堝叾涓� 2 閬撶窔鎬т唬鏁�(sh霉)锛�锛屽叡 94 鍒�
鍏�銆佷富瑕佸弮鑰冩暀鏉�
鍥涘窛澶у(xu茅)鏁�(sh霉)瀛�(xu茅)绯婚珮绛夋暩(sh霉)瀛�(xu茅)鏁欑爺瀹�.楂樼瓑鏁�(sh霉)瀛�(xu茅)(绗笁鐗�). 鍖椾含锛氶珮绛夋暀鑲插嚭鐗堢ぞ.
鐜嬪笇浜�.绶氭€т唬鏁�(sh霉).鍖椾含锛氶珮绛夋暀鑲插嚭鐗堢ぞ.
涓冦€佽€冭│鍏�(n猫i)瀹�
楂樼瓑鏁�(sh霉)瀛�(xu茅)
涓€銆佸嚱鏁�(sh霉)鑸囨サ闄�
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�
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+娈靛嚱鏁�(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) 妤甸檺鐨勫洓鍓囬亱(y霉n)绠� 鍑芥暩(sh霉)鐨勫柈鍋�(c猫)妤甸檺 鐒�(w煤)绐皬閲忚垏鐒�(w煤)
绐ぇ閲忕殑姒傚康鍙婂叾闂�(gu膩n)绯� 鐒�(w煤)绐皬閲忕殑鎬ц唱(zh矛)鍙婄劇(w煤)绐皬閲忕殑姣旇純 妤甸檺瀛樺湪鐨勫垽鍒ュ畾鐞嗗拰婧�(zh菙n)鍓囷細
澶炬摖瀹氱悊銆佸柈瑾�(di脿o)鏈夌晫瀹氱悊銆佹煰瑗挎敹鏂傛簴(zh菙n)鍓� 鍏╁€�(g猫)閲嶈妤甸檺:
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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(l猫i)鍨� 闁夊崁(q奴)闁撲笂閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛) 鍒濈瓑鍑芥暩(sh霉)鐨勯€ｇ簩(x霉)鎬�
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(hu矛)寤虹珛鎳�(y墨ng)鐢ㄥ晱(w猫n)椤岀殑鍑芥暩(sh霉)闂�(gu膩n)绯�.
2锛庝簡瑙ｅ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
2
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�.
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(y霉n)绠楁硶鍓�.
7锛庣悊瑙ｅ(sh铆)鏁�(sh霉)鐨勭⒑鐣屽師鐞�銆侀枆鍗€(q奴)闁撳瀹氱悊锛� 鎺屾彙妤甸檺瀛樺湪鐨勫垽鍒ユ簴(zh菙n)鍓�锛屽苟鏈�(hu矛)鍒╃敤瀹冨€戣瓑
鏄庢サ闄愬瓨鍦ㄦ垨姹傛サ闄愶紝鎺屾彙鍒╃敤鍏╁€�(g猫)閲嶈妤甸檺姹傛サ闄愮殑鏂规硶锛�
8锛庣悊瑙ｇ劇(w煤)绐皬閲�銆佺劇(w煤)绐ぇ閲忕殑姒傚康锛屾帉鎻＄劇(w煤)绐皬閲忕殑姣旇純鏂规硶锛屾渻(hu矛)鐢ㄧ瓑鍍�(ji脿)鐒�(w煤)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�(hu矛)鍒ゅ垾鍑芥暩(sh霉)闁撴柗榛�(di菐n)鐨勯(l猫i)鍨嬶紟
10锛庣悊瑙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�銆佷竴鑷撮€ｇ簩(x霉)鎬э級锛屽苟鏈�(hu矛)鎳�(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)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)鍙皫(d菐o)鑸囬€ｇ簩(x霉)涔嬮枔鐨勯棞(gu膩n)绯� 骞抽潰鏇茬窔鐨�
鍒囩窔鍜屾硶绶� 灏�(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑鍥涘墖閬�(y霉n)绠� 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)銆佸弽鍑芥暩(sh霉)銆侀毐鍑芥暩(sh霉) 鍙�
鏁�(sh霉)鏂圭▼浠ュ強妤靛潗妯�(bi膩o)鏂圭▼鎵€纰哄畾鐨勫嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉) 灏�(du矛)鏁�(sh霉)姹傚皫(d菐o)娉� 楂橀殠灏�(d菐o)鏁�(sh霉) 寰垎鐨勬蹇靛拰骞句綍鎰�
缇� 寰垎鍏紡鍜岄亱(y霉n)绠楁硶鍓� 寰�(f霉)鍚堝嚱鏁�(sh霉)鐨勫井鍒� 涓€闅庡井鍒嗗舰寮忕殑涓嶈畩鎬� 楂橀殠寰垎 寰垎涓€煎畾
鐞� 娲涘繀閬�(d谩)锛圠鈥橦ospital锛夋硶鍓� 娉板嫆鍏紡 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�
鍑瑰嚫鎬�銆佹嫄榛�(di菐n)鍙婃几杩戠窔 鍑芥暩(sh霉)鍦栧舰鐨勬弿绻� 鍑芥暩(sh霉)鐨勬渶澶у€煎拰鏈€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.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�锛屾渻(hu矛)姹傚钩闈㈡洸
绶氱殑鍒囩窔鏂圭▼鍜屾硶绶氭柟绋嬶紝浜嗚В灏�(d菐o)鏁�(sh霉)鐨勭墿鐞嗘剰缇�锛屾渻(hu矛)鐢ㄥ皫(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锛庢帉鎻″皫(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)鐨勫皫(d菐o)鏁�(sh霉)鍏紡锛庝簡
瑙ｅ井鍒嗙殑鍥涘墖閬�(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(hu矛)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)鍜岄珮闅庡井鍒嗙殑姒傚康锛屾渻(hu矛)姹傜啊(ji菐n)鍠嚱鏁�(sh霉)鐨勯珮闅庡皫(d菐o)鏁�(sh霉)鍜岄珮闅庡井鍒嗭紟
4锛庢渻(hu矛)姹傚垎娈靛嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛屾渻(hu矛)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).
5锛庣悊瑙ｅ苟鏈�(hu矛)鐢ㄧ緟鐖�(Rolle)瀹氱悊銆佹媺鏍兼湕鏃�(Lagrange)涓€煎畾鐞嗗拰娉板嫆(Taylor)瀹氱悊锛�
浜嗚В骞舵渻(hu矛)鐢ㄦ煰瑗�(Cauchy)涓€煎畾鐞嗭紟
6锛庢帉鎻＄敤娲涘繀閬�(d谩)娉曞墖姹傛湭瀹氬紡妤甸檺鐨勬柟娉曪紟
7锛庣悊瑙ｅ嚱鏁�(sh霉)鐨勬サ鍊兼蹇碉紝鎺屾彙鐢ㄥ皫(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(hu矛)鐢ㄥ皫(d菐o)鏁�(sh霉)鍒ゆ柗鏇茬窔鐨勫嚬鍑告€�锛屾渻(hu矛)姹傛洸绶氱殑鎷愰粸(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)鎻忕躬
鍑芥暩(sh霉)鐨勫湒褰紟
9锛庝簡瑙ｆ洸鐜�銆佹洸鐜囧湏鑸囨洸鐜囧崐寰戠殑姒傚康锛屾渻(hu矛)瑷�(j矛)绠楁洸鐜囧拰鏇茬巼鍗婂緫锛�
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) 鍙⿳婧�(zh菙n)鍓� 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) 鐗涢爴涓€钀婂竷灏艰尐
锛圢ewton-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�
鍑芥暩(sh霉)鐨勬湁鐞嗗紡鍜岀啊(ji菐n)鍠劇(w煤)鐞嗗嚱鏁�(sh霉)鐨勭⿳鍒� 瀹氱⿳鍒嗙殑鎳�(y墨ng)鐢�
3
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⿳鍒嗙殑姒傚康锛屼簡瑙ｅ嚱鏁�(sh霉)鐨勫彲绌嶆簴(zh菙n)鍓囧拰鍙⿳鍑�
鏁�(sh霉)椤�(l猫i)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(hu矛)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�(ji菐n)鍠劇(w煤)鐞嗗嚱鏁�(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(hu矛)姹傚畠鐨勫皫(d菐o)鏁�(sh霉)锛屾帉鎻＄墰闋擄紞钀婂竷灏艰尐鍏紡锛�
5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(zh菐ng)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
鍥涖€佸父寰垎鏂圭▼
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�
浼姫鍒╋紙Bernoulli锛夋柟绋� 鍏ㄥ井鍒嗘柟绋� 鍙敤绨�(ji菐n)鍠殑璁婇噺浠ｆ彌姹傝В鐨勬煇浜涘井鍒嗘柟绋� 鍙檷
闅庣殑楂橀殠寰垎鏂圭▼ 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� 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� 绨�(ji菐n)鍠殑浜岄殠甯哥郴鏁�(sh霉)闈為綂娆＄窔鎬у井鍒嗘柟绋� 姝�
鎷夛紙Euler锛夋柟绋� 寰垎鏂圭▼鐨勭啊(ji菐n)鍠噳(y墨ng)鐢�
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�.
2锛庢帉鎻¤畩閲忓彲鍒嗛洟鐨勫井鍒嗘柟绋嬪強涓€闅庣窔鎬у井鍒嗘柟绋嬬殑瑙ｆ硶锛�
3锛庢渻(hu矛)瑙ｉ綂娆″井鍒嗘柟绋�銆佷集鍔埄鏂圭▼鍜屽叏寰垎鏂圭▼锛屾渻(hu矛)鐢ㄧ啊(ji菐n)鍠殑璁婇噺浠ｆ彌瑙ｆ煇浜涘井鍒嗘柟
绋嬶紟
4锛庢渻(hu矛)鐢ㄩ檷闅庢硶瑙ｄ笅鍒楀舰寮忕殑寰垎鏂圭▼锛� ( )
( ), ( , ) ( , )
n
y f x y f x y y f y y?? ? ?? ?? ? ?鍜� 锛�
5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)锛�
6锛庢帉鎻′簩闅庡父绯绘暩(sh霉)榻婃绶氭€у井鍒嗘柟绋嬬殑瑙ｆ硶锛屽苟鏈�(hu矛)瑙ｆ煇浜涢珮浜庝簩闅庣殑甯哥郴鏁�(sh霉)榻婃绶氭€�
寰垎鏂圭▼.
7锛庢渻(hu矛)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)浠ュ強瀹冨€戠殑鍜岃垏绌嶇殑浜岄殠甯�
绯绘暩(sh霉)闈為綂娆＄窔鎬у井鍒嗘柟绋嬶紟
8锛庢渻(hu矛)瑙ｆ瓙鎷夋柟绋嬶紟
9锛庢渻(hu矛)鐢ㄥ井鍒嗘柟绋嬭В姹轰竴浜涚啊(ji菐n)鍠殑鎳�(y墨ng)鐢ㄥ晱(w猫n)椤岋紟
浜�銆佸悜閲忎唬鏁�(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⿳鍜屽悜閲忕⿳ 鍚戦噺鐨勬贩鍚堢⿳ 鍏╁悜閲忓瀭鐩淬€�
骞宠鐨勬浠� 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▼鍜岀┖闁撴洸绶氭柟绋嬬殑姒傚康 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
鐩寸窔鐨勫ぞ瑙掍互鍙婂钩琛�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 鏌遍潰 鏃嬭綁(zhu菐n)鏇查潰
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▼鍜屼竴鑸柟绋� 绌洪枔鏇茬窔鍦ㄥ潗妯�(bi膩o)闈笂鐨�
鎶曞奖鏇茬窔鏂圭▼
鑰冭│瑕佹眰
1.鐞嗚В绌洪枔鐩磋鍧愭(bi膩o)绯伙紝鐞嗚В鍚戦噺鐨勬蹇靛強鍏惰〃绀�.
2.鎺屾彙鍚戦噺鐨勯亱(y霉n)绠楋紙绶氭€ч亱(y霉n)绠�銆佹暩(sh霉)閲忕⿳銆佸悜閲忕⿳銆佹贩鍚堢⿳锛夛紝浜嗚В鍏╁€�(g猫)鍚戦噺鍨傜洿銆佸钩琛�
鐨勬浠�.
4
3.鐞嗚В鍠綅鍚戦噺銆佹柟鍚戞暩(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�锛屾帉鎻＄敤鍧愭(bi膩o)琛ㄩ仈(d谩)寮忛€�(j矛n)琛屽悜閲�
閬�(y霉n)绠楃殑鏂规硶.
4.鎺屾彙骞抽潰鏂圭▼鍜岀洿绶氭柟绋嬪強鍏舵眰娉�.
5锛庢渻(hu矛)姹傚钩闈㈣垏骞抽潰銆佸钩闈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�(hu矛)鍒╃敤骞抽潰銆佺洿绶氱殑鐩�
浜掗棞(gu膩n)绯伙紙骞宠銆佸瀭鐩�銆佺浉浜ょ瓑锛夎В姹烘湁闂�(gu膩n)鍟�(w猫n)椤�.
6锛庢渻(hu矛)姹傞粸(di菐n)鍒扮洿绶氫互鍙婇粸(di菐n)鍒板钩闈㈢殑璺濋洟.
7.浜嗚В鏇查潰鏂圭▼鍜岀┖闁撴洸绶氭柟绋嬬殑姒傚康.
8.浜嗚В甯哥敤浜屾鏇查潰鐨勬柟绋嬪強鍏跺湒褰紝鏈�(hu矛)姹傜啊(ji菐n)鍠殑鏌遍潰鍜屾棆杞�(zhu菐n)鏇查潰鐨勬柟绋�.
9.浜嗚В绌洪枔鏇茬窔鐨勫弮鏁�(sh霉)鏂圭▼鍜屼竴鑸柟绋�.浜嗚В绌洪枔鏇茬窔鍦ㄥ潗妯�(bi膩o)骞抽潰涓婄殑鎶曞奖锛屽苟鏈�(hu矛)姹傝┎
鎶曞奖鏇茬窔鐨勬柟绋�.
鍏�銆佸鍏冨嚱鏁�(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)鐨勬サ闄愯垏閫ｇ簩(x霉)鐨勬蹇� 鏈夌晫闁夊崁(q奴)鍩熶笂
澶氬厓閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛) 澶氬厓鍑芥暩(sh霉)鐨勫亸灏�(d菐o)鏁�(sh霉)鍜屽叏寰垎 鍏ㄥ井鍒嗗瓨鍦ㄧ殑蹇呰姊濅欢鍜屽厖鍒嗘浠� 澶�
鍏冨京(f霉)鍚堝嚱鏁�(sh霉)銆侀毐鍑芥暩(sh霉)鐨勬眰灏�(d菐o)娉� 浜岄殠鍋忓皫(d菐o)鏁�(sh霉) 鏂瑰悜?q奴)顫�?sh霉)鍜屾搴� 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� 浜屽厓鍑芥暩(sh霉)鐨勪簩闅庢嘲鍕掑叕寮� 澶氬厓鍑芥暩(sh霉)鐨勬サ鍊煎拰姊濅欢妤靛€� 澶氬厓鍑芥暩(sh霉)
鐨勬渶澶у€笺€佹渶灏忓€煎強鍏剁啊(ji菐n)鍠噳(y墨ng)鐢�
鑰冭│瑕佹眰
1锛庣悊瑙ｅ鍏冨嚱鏁�(sh霉)鐨勬蹇�锛岀悊瑙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)鐨勬蹇典互鍙婃湁鐣岄枆鍗€(q奴)鍩熶笂閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛).
3锛庣悊瑙ｅ鍏冨嚱鏁�(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鍜屽叏寰垎鐨勬蹇碉紝鏈�(hu矛)姹傚叏寰垎锛屼簡瑙ｅ叏寰垎瀛樺湪鐨勫繀瑕佹浠跺拰
鍏呭垎姊濅欢锛屼簡瑙ｅ叏寰垎褰㈠紡鐨勪笉璁婃€�.
4锛庣悊瑙ｆ柟鍚�?q奴)顫�?sh霉)鑸囨搴︾殑姒傚康锛屽苟鎺屾彙鍏惰▓(j矛)绠楁柟娉�.
5锛庢帉鎻″鍏冨京(f霉)鍚堝嚱鏁�(sh霉)涓€闅�銆佷簩闅庡亸灏�(d菐o)鏁�(sh霉)鐨勬眰娉�.
6锛庝簡瑙ｉ毐鍑芥暩(sh霉)瀛樺湪瀹氱悊锛屾渻(hu矛)姹傚鍏冮毐鍑芥暩(sh霉)鐨勫亸灏�(d菐o)鏁�(sh霉).
7锛庝簡瑙ｇ┖闁撴洸绶氱殑鍒囩窔鍜屾硶骞抽潰鍙婃洸闈㈢殑鍒囧钩闈㈠拰娉曠窔鐨勬蹇碉紝鏈�(hu矛)姹傚畠鍊戠殑鏂圭▼.
8锛庝簡瑙ｄ簩鍏冨嚱鏁�(sh霉)鐨勪簩闅庢嘲鍕掑叕寮�.
9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(hu矛)姹備簩鍏冨嚱鏁�(sh霉)鐨勬サ鍊�锛屾渻(hu矛)鐢ㄦ媺鏍兼湕鏃ヤ箻鏁�(sh霉)娉曟眰姊濅欢妤靛€�锛屾渻(hu矛)姹�
绨�(ji菐n)鍠鍏冨嚱鏁�(sh霉)鐨勬渶澶у€煎拰鏈€灏忓€硷紝骞舵渻(hu矛)瑙ｆ焙涓€浜涚啊(ji菐n)鍠殑鎳�(y墨ng)鐢ㄥ晱(w猫n)椤�.
涓�銆佸鍏冨嚱鏁�(sh霉)绌嶅垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
浜岄噸绌嶅垎鑸囦笁閲嶇⿳鍒嗙殑姒傚康銆佹€ц唱(zh矛)銆佽▓(j矛)绠楀拰鎳�(y墨ng)鐢� 鍏╅(l猫i)鏇茬窔绌嶅垎鐨勬蹇�銆佹€ц唱(zh矛)鍙婅▓(j矛)绠� 鍏�
椤�(l猫i)鏇茬窔绌嶅垎鐨勯棞(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戠劇(w煤)闂�(gu膩n)鐨勬浠� 浜屽厓鍑芥暩(sh霉)鍏ㄥ井
鍒嗙殑鍘熷嚱鏁�(sh霉) 鍏╅(l猫i)鏇查潰绌嶅垎鐨勬蹇�銆佹€ц唱(zh矛)鍙婅▓(j矛)绠� 鍏╅(l猫i)鏇查潰绌嶅垎鐨勯棞(gu膩n)绯� 楂樻柉锛圙auss锛夊叕
寮� 鏂墭鍏嬫柉锛圫tokes)鍏紡 鏁ｅ害銆佹棆搴︾殑姒傚康鍙婅▓(j矛)绠� 鏇茬窔绌嶅垎鍜屾洸闈㈢⿳鍒嗙殑鎳�(y墨ng)鐢�
鑰冭│瑕佹眰
1锛庣悊瑙ｄ簩閲嶇⿳鍒�銆佷笁閲嶇⿳鍒嗙殑姒傚康锛屼簡瑙ｉ噸绌嶅垎鐨勬€ц唱(zh矛)锛屼簡瑙ｄ簩閲嶇⿳鍒嗙殑涓€煎畾鐞�.
2锛庢帉鎻′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)锛夛紝鏈�(hu矛)瑷�(j矛)绠椾笁閲嶇⿳鍒嗭紙鐩磋鍧愭(bi膩o)銆佹煴闈�
鍧愭(bi膩o)銆佺悆闈㈠潗妯�(bi膩o)锛�.
3锛庣悊瑙ｅ叐椤�(l猫i)鏇茬窔绌嶅垎鐨勬蹇�锛屼簡瑙ｅ叐椤�(l猫i)鏇茬窔绌嶅垎鐨勬€ц唱(zh矛)鍙婂叐椤�(l猫i)鏇茬窔绌嶅垎鐨勯棞(gu膩n)绯�.
4锛庢帉鎻¤▓(j矛)绠楀叐椤�(l猫i)鏇茬窔绌嶅垎鐨勬柟娉�.
5
5锛庢帉鎻℃牸鏋楀叕寮忓苟鏈�(hu矛)閬�(y霉n)鐢ㄥ钩闈㈡洸绶氱⿳鍒嗚垏璺緫鐒�(w煤)闂�(gu膩n)鐨勬浠讹紝鏈�(hu矛)姹備簩鍏冨嚱鏁�(sh霉)鍏ㄥ井鍒嗙殑鍘�
鍑芥暩(sh霉).
6锛庝簡瑙ｅ叐椤�(l猫i)鏇查潰绌嶅垎鐨勬蹇�銆佹€ц唱(zh矛)鍙婂叐椤�(l猫i)鏇查潰绌嶅垎鐨勯棞(gu膩n)绯�锛屾帉鎻¤▓(j矛)绠楀叐椤�(l猫i)鏇查潰绌嶅垎鐨�
鏂规硶锛屾帉鎻＄敤楂樻柉鍏紡瑷�(j矛)绠楁洸闈㈢⿳鍒嗙殑鏂规硶锛屽苟鏈�(hu矛)鐢ㄦ柉鎵樺厠鏂叕寮忚▓(j矛)绠楁洸绶氱⿳鍒�.
7锛庝簡瑙ｆ暎搴﹁垏鏃嬪害鐨勬蹇�锛屽苟鏈�(hu矛)瑷�(j矛)绠�.
8锛庢渻(hu矛)鐢ㄩ噸绌嶅垎銆佹洸绶氱⿳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⿳銆侀珨绌嶃€�
鏇查潰闈㈢⿳銆佸姬闀�(zh菐ng)銆佽唱(zh矛)閲�銆佽唱(zh矛)蹇冦€�銆佸舰蹇冦€佽綁(zhu菐n)鍕�(d貌ng)鎱ｉ噺銆佸紩鍔涖€佸姛鍙婃祦閲忕瓑锛�.
鍏�銆佺劇(w煤)绐礆(j铆)鏁�(sh霉)
鑰冭│鍏�(n猫i)瀹�
甯告暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁ｇ殑姒傚康 鏀舵杺绱�(j铆)鏁�(sh霉)鐨勫拰鐨勬蹇� 绱�(j铆)鏁�(sh霉)鐨勫熀鏈€ц唱(zh矛)鑸囨敹鏂傜殑蹇�
瑕佹浠� 骞句綍绱�(j铆)鏁�(sh霉)鑸� p 绱�(j铆)鏁�(sh霉)鍙婂叾鏀舵杺鎬� 姝ｉ爡(xi脿ng)绱�(j铆)鏁�(sh霉)鏀舵杺鎬х殑鍒ゅ垾娉� 浜ら尟(cu貌)绱�(j铆)鏁�(sh霉)鑸囪悐甯冨凹鑼�
瀹氱悊 浠绘剰闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勭禃灏�(du矛)鏀舵杺鑸囨浠舵敹鏂� 鍑芥暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬敹鏂傚煙鑸囧拰鍑芥暩(sh霉)鐨勬蹇� 鍐礆(j铆)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(k膩i)鍗€(q奴)闁擄級鍜屾敹鏂傚煙 鍐礆(j铆)鏁�(sh霉)鐨勫拰鍑芥暩(sh霉) 鍐礆(j铆)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�(ji菐n)鍠啰绱�(j铆)鏁�(sh霉)鐨勫拰鍑芥暩(sh霉)鐨勬眰娉� 鍒濈瓑鍑芥暩(sh霉)鐨勫啰绱�(j铆)鏁�(sh霉)灞曢枊(k膩i)寮� 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�(j铆)鏁�(sh霉) 鐙勫埄鍏嬮浄锛圖irichlet锛夊畾鐞� 鍑芥暩(sh霉)鍦╗ , ]l l? 涓婄殑鍌呴噷钁夌礆(j铆)鏁�(sh霉)
鍑芥暩(sh霉)鍦╗0, ]l 涓婄殑姝ｅ鸡绱�(j铆)鏁�(sh霉)鍜屼綑寮︾礆(j铆)鏁�(sh霉)
鑰冭│瑕佹眰
1锛庣悊瑙ｅ父鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鏀舵杺銆佺櫦(f膩)鏁ｄ互鍙婃敹鏂傜礆(j铆)鏁�(sh霉)鐨勫拰鐨勬蹇�锛屾帉鎻＄礆(j铆)鏁�(sh霉)鐨勫熀鏈€ц唱(zh矛)鍙婃敹鏂�
鐨勫繀瑕佹浠�.
2锛庢帉鎻″咕浣曠礆(j铆)鏁�(sh霉)鑸� p 绱�(j铆)鏁�(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁ｇ殑姊濅欢.
3锛庢帉鎻℃闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鏀舵杺鎬х殑姣旇純鍒ゅ垾娉曞拰姣斿€煎垽鍒ユ硶锛屾渻(hu矛)鐢ㄦ牴鍊煎垽鍒ユ硶.
4锛庢帉鎻′氦閷�(cu貌)绱�(j铆)鏁�(sh霉)鐨勮悐甯冨凹鑼ㄥ垽鍒ユ硶.
5. 浜嗚В浠绘剰闋�(xi脿ng)绱�(j铆)鏁�(sh霉)绲曞皪(du矛)鏀舵杺鑸囨浠舵敹鏂傜殑姒傚康浠ュ強绲曞皪(du矛)鏀舵杺鑸囨敹鏂傜殑闂�(gu膩n)绯�.
6锛庝簡瑙ｅ嚱鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬敹鏂傚煙鍙婂拰鍑芥暩(sh霉)鐨勬蹇�.
7锛庣悊瑙ｅ啰绱�(j铆)鏁�(sh霉)鏀舵杺鍗婂緫鐨勬蹇�銆佸苟鎺屾彙鍐礆(j铆)鏁�(sh霉)鐨勬敹鏂傚崐寰�銆佹敹鏂傚崁(q奴)闁撳強鏀舵杺鍩熺殑姹傛硶.
8锛庝簡瑙ｅ啰绱�(j铆)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)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
鏈�(hu矛)姹備竴浜涘啰绱�(j铆)鏁�(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�(hu矛)鐢辨姹傚嚭鏌愪簺鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勫拰.
9锛庝簡瑙ｅ嚱鏁�(sh霉)灞曢枊(k膩i)鐐烘嘲鍕掔礆(j铆)鏁�(sh霉)鐨勫厖鍒嗗繀瑕佹浠�.
10锛庢帉鎻�
x
e 銆� sin x 銆� cos x 銆� ln(1 )x? 鍙� (1 )x
?
? 鐨勯亥鍏嬪嫗鏋楋紙Maclaurin锛夊睍闁�(k膩i)寮�锛�
鏈�(hu矛)鐢ㄥ畠鍊戝皣涓€浜涚啊(ji菐n)鍠嚱鏁�(sh霉)闁撴帴灞曢枊(k膩i)鎴愬啰绱�(j铆)鏁�(sh霉).
11锛庝簡瑙ｅ倕閲岃憠绱�(j铆)鏁�(sh霉)鐨勬蹇靛拰鐙勫埄鍏嬮浄鏀舵杺瀹氱悊锛屾渻(hu矛)灏囧畾缇╁湪[ , ]l l? 涓婄殑鍑芥暩(sh霉)灞曢枊(k膩i)鐐哄倕
閲岃憠绱�(j铆)鏁�(sh霉)锛屾渻(hu矛)灏囧畾缇╁湪[0, ]l 涓婄殑鍑芥暩(sh霉)灞曢枊(k膩i)鐐烘寮︾礆(j铆)鏁�(sh霉)鑸囦綑寮︾礆(j铆)鏁�(sh霉)锛屾渻(hu矛)瀵�(xi臎)鍑哄倕閲岃憠绱�(j铆)鏁�(sh霉)鐨勫拰
鍑芥暩(sh霉)鐨勮〃閬�(d谩)寮�.
涔�銆佸唬缇╃⿳鍒嗗拰鍚弮璁婇噺绌嶅垎
鑰冭│鍏�(n猫i)瀹�
鐒�(w煤)绐⿳鍒嗗拰鐒�(w煤)鐣屽嚱鏁�(sh霉)绌嶅垎鏀舵杺鐨勬蹇�銆佹€ц唱(zh矛)鍜屽垽鍒� 鍏╅(l猫i)寤ｇ京绌嶅垎鐨勮伅(li谩n)绯� 袚 -鍑芥暩(sh霉)鍜屝� -
鍑芥暩(sh霉)鐨勬€ц唱(zh矛)鍜岃▓(j矛)绠� 鍚弮璁婇噺鐨勭⿳鍒嗙殑姒傚康鍙婂叾鎬ц唱(zh矛)
鑰冭│瑕佹眰
1锛庣悊瑙ｇ劇(w煤)绐⿳鍒嗗拰鐟曠⿳鍒嗙殑姒傚康銆佹€ц唱(zh矛)骞舵渻(hu矛)瑷�(j矛)绠�銆�
2锛庝簡瑙ｇ劇(w煤)绐⿳鍒嗚垏鐟曠⿳鍒嗙殑鑱�(li谩n)绯汇€�
3锛庣悊瑙ｅ拰鎺屾彙寤ｇ京绌嶅垎鏀舵杺鐨勫垽鍒ユ硶銆�
6
4锛庝簡瑙� 螕 -鍑芥暩(sh霉)锛孊-鍑芥暩(sh霉)鐨勬蹇�銆佹€ц唱(zh矛)銆佽伅(li谩n)绯�銆�
5锛庣悊瑙ｅ惈鍙冮噺绌嶅垎鐨勬蹇靛強鍏舵€ц唱(zh矛)銆�
绶氭€т唬鏁�(sh霉)
涓€銆佽鍒楀紡
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� 琛屽垪寮忔寜琛岋紙鍒楋級灞曢枊(k膩i)瀹氱悊銆�
鑰冭│瑕佹眰锛�
1锛庝簡瑙ｈ鍒楀紡鐨勬蹇�锛屾帉鎻¤鍒楀紡鐨勬€ц唱(zh矛)锛�
2锛庢渻(hu矛)鎳�(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�(k膩i)瀹氱悊瑷�(j矛)绠楄鍒楀紡锛�
浜屻€佺煩闄�
鑰冭│鍏�(n猫i)瀹�
鐭╅櫍鐨勬蹇� 锛岀煩闄ｇ殑绶氭€ч亱(y霉n)绠�锛� 鐭╅櫍鐨勪箻娉� 锛屾柟闄ｇ殑鍐� 锛屾柟闄ｄ箻绌嶇殑琛屽垪寮� 锛�
鐭╅櫍鐨勮綁(zhu菐n)缃紝閫嗙煩闄ｇ殑姒傚康鍜屾€ц唱(zh矛)锛� 鐭╅櫍鍙€嗙殑鍏呭垎蹇呰姊濅欢锛� 浼撮毃鐭╅櫍锛� 鐭╅櫍鐨勫垵
绛夎畩鎻�锛屽垵绛夌煩闄�锛岀煩闄ｇ殑绉�锛岀煩闄ｇ殑绛夊児(ji脿)锛屽垎濉婄煩闄ｅ強鍏堕亱(y霉n)绠�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(du矛)瑙掔煩闄�銆佷笁瑙掔煩闄�銆佸皪(du矛)绋�(ch膿ng)鐭╅櫍鍜屽弽
灏�(du矛)绋�(ch膿ng)鐭╅櫍锛屼互鍙婂畠鍊戠殑鎬ц唱(zh矛)锛�
2锛庢帉鎻＄煩闄ｇ殑绶氭€ч亱(y霉n)绠�銆佷箻娉�銆佽綁(zhu菐n)缃互鍙婂畠鍊戠殑閬�(y霉n)绠楄(gu墨)寰�锛屼簡瑙ｆ柟闄ｇ殑鍐垏鏂归櫍涔樼⿳
鐨勮鍒楀紡鐨勬€ц唱(zh矛).
3锛庣悊瑙ｉ€嗙煩闄ｇ殑姒傚康锛屾帉鎻￠€嗙煩闄ｇ殑鎬ц唱(zh矛)锛屼互鍙婄煩闄ｅ彲閫嗙殑鍏呭垎蹇呰姊濅欢锛岀悊瑙ｄ即闅�
鐭╅櫍鐨勬蹇�锛屾渻(hu矛)鐢ㄤ即闅ㄧ煩闄ｆ眰閫嗙煩闄ｏ紟
4锛庣悊瑙ｇ煩闄ｅ垵绛夎畩鎻涚殑姒傚康锛屼簡瑙ｅ垵绛夌煩闄ｇ殑鎬ц唱(zh矛)鍜岀煩闄ｇ瓑鍍�(ji脿)鐨勬蹇�锛岀悊瑙ｇ煩闄ｇ殑绉�
鐨勬蹇�锛屾帉鎻＄敤鍒濈瓑璁婃彌姹傜煩闄ｇ殑绉╁拰閫嗙煩闄ｇ殑鏂规硶锛�
5锛庝簡瑙ｅ垎濉婄煩闄ｅ強鍏堕亱(y霉n)绠楋紟
涓�銆佸悜閲�
鑰冭│鍏�(n猫i)瀹�
鍚戦噺鐨勬蹇�锛� 鍚戦噺鐨勭窔鎬х祫鍚堣垏绶氭€ц〃绀�锛� 鍚戦噺绲勭殑绶氭€х浉闂�(gu膩n)鑸囩窔鎬х劇(w煤)闂�(gu膩n)锛� 鍚戦噺绲�
鐨勬サ澶х窔鎬х劇(w煤)闂�(gu膩n)绲�锛� 绛夊児(ji脿)鍚戦噺绲�锛� 鍚戦噺绲勭殑绉�锛� 鍚戦噺绲勭殑绉╄垏鐭╅櫍鐨勭З涔嬮枔鐨勯棞(gu膩n)绯�锛� 鍚�
閲忕┖闁撳強鍏剁浉闂�(gu膩n)姒傚康锛� n 缍悜閲忕┖闁撶殑鍩鸿畩鎻涘拰鍧愭(bi膩o)璁婃彌锛� 閬�(gu貌)娓＄煩闄� 锛屽悜閲忕殑鍏�(n猫i)绌� 锛岀窔
鎬х劇(w煤)闂�(gu膩n)鍚戦噺绲勭殑姝ｄ氦瑕�(gu墨)鑼冨寲鏂规硶 锛岃(gu墨)鑼冩浜ゅ熀 姝ｄ氦鐭╅櫍鍙婂叾鎬ц唱(zh矛)銆�
鑰冭│瑕佹眰
1锛庣悊瑙� n 缍悜閲�銆佸悜閲忕殑绶氭€х祫鍚堣垏绶氭€ц〃绀虹殑姒傚康锛�
2锛庣悊瑙ｅ悜閲忕祫绶氭€х浉闂�(gu膩n)銆佺窔鎬х劇(w煤)闂�(gu膩n)鐨勬蹇�锛屾帉鎻″悜閲忕祫绶氭€х浉闂�(gu膩n)銆佺窔鎬х劇(w煤)闂�(gu膩n)鐨勬湁闂�(gu膩n)鎬�
璩�(zh矛)鍙婂垽鍒ユ硶锛�
3锛庣悊瑙ｅ悜閲忕祫鐨勬サ澶х窔鎬х劇(w煤)闂�(gu膩n)绲勫拰鍚戦噺绲勭殑绉╃殑姒傚康锛屾渻(hu矛)姹傚悜閲忕祫鐨勬サ澶х窔鎬х劇(w煤)闂�(gu膩n)绲�
鍙婄З锛�
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鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
