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娴峰崡甯寖澶у 2017 骞寸ⅸ澹爺绌剁敓鍏ュ鑰冭│鍒濊│绉戠洰
鑰� 瑭� 澶� 缍�
绉戠洰鍚嶇ū: 鏁�(sh霉)瀛哥稖鍚�
閬╃敤灏堟キ(y猫): 鏁�(sh霉)瀛稿悇灏堟キ(y猫)
涓€銆佽€冭│褰㈠紡鑸囪│鍗风祼妲�
锛堜竴锛夎│鍗锋豢鍒嗗強鑰冭│鏅傞枔
鏈│鍗锋豢鍒嗙偤 100 鍒�锛岃€冭│鏅傞枔鐐� 120 鍒嗛悩銆�
锛堜簩锛夌瓟椤屾柟寮�
绛旈鏂瑰紡鐐洪枆鍗枫€佺瓎瑭�銆�
瑭﹀嵎鐢辫│椤屽拰绛旈绱欑祫鎴�锛涚瓟妗堝繀闋堝鍦ㄧ瓟椤岀礄锛堢敱鑰冮粸鎻愪緵锛夌浉鎳夌殑浣嶇疆涓�銆�
锛堜笁锛夎│鍗峰収(n猫i)瀹圭祼妲嬶紙鑰冭│鐨勫収(n猫i)瀹规瘮渚嬶級
缍滃悎鑰冭│绉戠洰鍚勯儴鍒嗗収(n猫i)瀹规墍鍗犲垎鍊肩偤
绗竴閮ㄥ垎 瀵﹁畩鍑芥暩(sh霉) 绱� 30 鍒�
绗簩閮ㄥ垎 甯稿井鍒嗘柟绋� 绱� 35 鍒�
绗笁閮ㄥ垎 姒傜巼璜栬垏鏁�(sh霉)鐞嗙当(t菕ng)瑷� 绱� 35 鍒�
浜屻€佽€冩煡鐩锛堝京缈掕姹傦級
鍏ㄦ棩鍒舵敾璁€纰╁＋瀛镐綅鐮旂┒鐢熷叆瀛歌€冭│姒傜巼璜栬垏鏁�(sh霉)鐞嗙当(t菕ng)瑷堢鐩€冭│鍏�(n猫i)瀹瑰寘鎷鐜囪珫鍜屾暩(sh霉)
鐞嗙当(t菕ng)瑷堝叐闁€瀛哥鍩虹瑾茬▼锛岃姹傝€冪敓绯荤当(t菕ng)鎺屾彙鐩搁棞瀛哥鐨勫熀鏈煡璀�銆佸熀绀庣悊璜栧拰鍩烘湰鏂规硶锛�
骞惰兘閬嬬敤鐩搁棞鐞嗚珫鍜屾柟娉曞垎鏋�銆佽В姹虹浉闂滅殑瀵﹂殯鍟忛銆�
涓�銆佽€冭│鍏�(n猫i)瀹规瑕�
绗竴閮ㄥ垎锛氬璁婂嚱鏁�(sh霉)
绗竴绔� 闆嗗悎
1. 鑰冭│鍏�(n猫i)瀹�
搂1 闆嗗悎姒傚康锛氶泦鍚堢殑鎻忚堪鑸囪〃绀�锛屽瓙闆嗭紝闆嗗悎鐨勭浉绛�銆�
搂2 闆嗗悎鐨勯亱绠楋細闆嗗悎鐨勫苟銆佷氦銆佸樊銆佽閬嬬畻鍙婂叾鎬ц唱锛岀瑳路鎽╂牴鍏紡锛氫笂闄愰泦銆佷笅闄�
闆嗗強鍏舵€ц唱銆�
搂3 灏嶇瓑鑸囧熀鏁�(sh霉)锛氭槧灏�銆佸柈灏�銆佹豢灏�銆侀洐灏�锛岄€嗘槧灏勫強鍏舵€ц唱锛涘皪绛夊強鍏舵€ц唱锛涘熀鏁�(sh霉)鑸�
鍩烘暩(sh霉)鐨勬瘮杓�锛屼集鎭╂柉鍧﹀畾鐞嗐€�
搂4 鍙暩(sh霉)闆嗗悎锛氬彲鏁�(sh霉)闆嗙殑瀹氱京鍙婄瓑鍍规浠�锛屽彲鍒楅泦鍙婂叾鎬ц唱锛屽彲鍒楅泦鐨勫垽鏂疯瓑鏄�銆�
搂5 涓嶅彲鏁�(sh霉)闆嗗悎: 涓嶅彲鏁�(sh霉)闆嗙殑瀛樺湪鎬�, 閫ｇ簩(x霉)鍩烘暩(sh霉)鍙婂叾鎬ц唱锛岄€ｇ簩(x霉)鍩烘暩(sh霉)鐨勫垽鏂疯瓑鏄�锛屽熀鏁�(sh霉)
鐒℃渶澶ц€�銆�
2. 鑰冭│瑕佹眰顎�
鈶� 鐞嗚В闆嗗悎鐨勫苟銆佷氦銆佸樊銆佽銆佷笂闄愰泦浜庝笅闄愰泦绛夋蹇�锛岀啛绶存帉鎻￠泦鍚堢殑鍚勭ó閬嬬畻锛�
鎺屾彙璀夋槑闆嗗悎闁撳寘鍚垏鐩哥瓑闂滅郴鐨勪竴鑸柟娉�銆�
鈶� 浜嗚В鍩烘暩(sh霉)鐨勬蹇碉紝鎺屾彙璀夋槑鍏╁€嬮泦鍚堝皪绛夌殑鏂规硶锛屾渻鐢ㄤ集鎭╂柉鍧﹀畾鐞嗭紝鐞嗚В鏈夐檺闆�
鑸囩劇闄愰泦鐨勭壒寰�銆�
鈶� 鐞嗚В鍙暩(sh霉)闆嗚垏鍏锋湁閫ｇ簩(x霉)鍩烘暩(sh霉)鐨勯泦鐨勬蹇靛強鍏舵€ц唱锛屾帉鎻″彲鏁�(sh霉)闆�, 閫ｇ簩(x霉)鍩烘暩(sh霉)鐨勫垽鏂疯瓑
鏄庢柟娉�銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸 闆嗗悎鐨勯亱绠楀強鍏堕亱鎬ц唱锛岄泦鍚堢殑灏嶇瓑锛屽熀鏁�(sh霉)鐨勬瘮杓�锛屽彲鏁�(sh霉)闆嗚垏鍏锋湁閫ｇ簩(x霉)鍩烘暩(sh霉)鐨勯泦
鍚堢殑鎬ц唱銆�
闆ｉ粸涓婇檺闆嗐€佷笅闄愰泦銆佸彲鏁�(sh霉)闆�, 閫ｇ簩(x霉)鍩烘暩(sh霉)鐨勫垽鏂疯瓑鏄�銆�
绗簩绔� 榛為泦
1. 鑰冭│鍏�(n猫i)瀹诡€�
搂1 搴﹂噺绌洪枔锛宯 缍瓙姘忕┖闁擄細搴﹂噺绌洪枔姒傚康銆侀劙鍩熷強鍏舵€ц唱銆佹敹鏂傞粸鍒椼€侀粸闆嗙殑璺濋洟
鑸囩洿寰�銆佸崁(q奴)闁撴蹇点€�
搂2 鑱氶粸锛屽収(n猫i)榛�锛岀晫榛烇細鍏�(n猫i)闆�锛屽榛烇紝閭婄晫榛�锛岃仛榛炲強瀛ょ珛榛烇紝鑱氶粸鍙婂叾绛夊児姊濅欢锛岄倞
鐣�锛屽収(n猫i)鏍搞€佸皫闆嗚垏闁夊寘姒傚康鍙婂叾绨″柈鎬ц唱銆侭olzano-Weierstrass 瀹氱悊锛�
搂3 闁嬮泦銆侀枆闆�銆佸畬鍌欓泦锛氶枊闆嗚垏闁夐泦鐨勫強鍏堕亱绠楁€ц唱锛屾捣娑�-娉㈤浄鐖炬湁闄愯钃嬪畾鐞嗭紝
绶婇泦銆佽嚜瀵嗛泦鑸囧畬鍌欓泦銆�
搂4. 鐩寸窔涓婄殑闁嬮泦銆侀枆闆嗗拰瀹屽倷闆嗙殑妲嬮€狅細鐩寸窔涓婇枊闆�銆侀枆闆�銆佸畬鍌欓泦鐨勬閫犮€�
骞抽潰涓婇枊闆嗙殑妲嬮€�锛屽悍鎵橈紙Cantor锛夐泦鐨勬閫犺垏鎬ц唱銆�
2. 鑰冭│瑕佹眰
鈶� 鐞嗚В閯板煙銆佸収(n猫i)榛�銆佽仛榛�銆侀枊闆�銆侀枆闆嗙瓑鍩烘湰姒傚康鍙婅仛榛炵殑绛夊児姊濅欢锛�
鈶� 鐔熺反鎺屾彙闁嬮泦銆侀枆闆嗙殑鎬ц唱锛屾帉鎻￠枊闆嗐€侀枆闆嗙殑鍒ゆ柗璀夋槑鏂规硶銆備簡瑙ｇ洿绶氫笂闁嬮泦鐨�
妲嬮€�锛岀煡閬撶洿绶氫笂闁夐泦鍜屽畬鍌欓泦鐨勬閫犮€�
鈶� 浜嗚В Bolzano-Weierstarss 瀹氱悊锛孊orel 鏈夐檺瑕嗚搵瀹氱悊銆�
鈶� 浜嗚В Cantor 闆嗙殑妲嬮€犲強鍏舵€ц唱銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸 鑱氶粸鍙婂叾绛夊児姊濅欢锛孊olzano-Weierstrass 瀹氱悊锛岀洿绶氫笂闁嬮泦鐨勬閫�锛孊orel 鏈夐檺
瑕嗚搵瀹氱悊锛孋antor 闆�銆�
闆ｉ粸 鑱氶粸銆佸収(n猫i)榛�銆侀枊闆�銆侀枆闆�銆佸畬鍌欓泦绛夋蹇�锛孋antor 闆嗙殑妲嬮€犲強鍏舵€ц唱銆傤€�
绗笁绔�銆佹脯搴﹁珫
1. 鑰冭│鍏�(n猫i)瀹�
搂1 澶栨脯搴︼細澶栨脯搴﹀強鍏舵€ц唱锛�
搂2 鍙脯闆嗭細鍙脯闆嗙殑瀹氱京锛屽崱鎷夌殕灞嬬崹鍒╂浠讹紝鍙脯闆嗙殑閬嬬畻鎬ц唱锛屽柈瑾垮彲娓泦鍒楁サ
闄愮殑娓害銆�
搂3 鍙脯闆嗛锛氬崁(q奴)闁撱€侀枊闆�銆侀枆闆嗙殕鍙脯銆丟6 鍨嬮泦锛孎(xi脿n)?鍨嬮泦锛屽彲娓泦鍚岄枊闆嗐€侀枆闆�銆丟6
鍨嬮泦銆丗?鍨嬮泦涔嬮枔鐨勯棞绯�銆�
2. 鑰冭│瑕佹眰
鈶� 浜嗚В鍕掕矟鏍煎娓害鐨勫畾缇╁強涓昏鎬ц唱銆�
鈶� 鐞嗚В鍕掕矟鏍煎彲娓泦鐨勫畾缇╁苟鎺屾彙鍏堕亱绠�銆�
鈶� 鐞嗚В鍕掕矟鏍兼脯搴︾殑鍙垪鍙姞鎬т互鍙婂柈瑾垮彲娓泦鍒楁サ闄愮殑娓害銆�
鈶� 浜嗚В甯歌鐨勫彲娓泦鍚�,鐭ラ亾鍕掕矟鏍煎彲娓泦鑸囬枊闆�銆侀枆闆�銆丟6 鍨嬮泦鑸� F?鍨嬮泦涔嬮枔鐨勯棞
绯�銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸 鍕掕矟鏍煎彲娓泦鐨勯亱绠楁€ц唱锛屽柈瑾垮彲娓泦鍒楁サ闄愮殑娓害锛屽彲娓泦鍚岄枊闆�銆侀枆闆嗐€丟6 鍨�
闆嗕互鍙� F?鍨嬮泦涔嬮枔鐨勯棞绯�銆�
闆ｉ粸 鍙脯闆嗘蹇电殑寮曞叆鑸囧彲娓泦鐨勬閫�銆�
绗洓绔�銆佸彲娓嚱鏁�(sh霉)
1. 鑰冭│鍏�(n猫i)瀹�
搂1 鍙脯鍑芥暩(sh霉)鍙婂叾鎬ц唱锛氶粸闆嗕笂鐨勫嚱鏁�(sh霉)锛氬唬缇╁鏁�(sh霉)绯� R=R鈭�(卤鈭�)鐨勯亱绠�?锛熻摻y鍑芥暩(sh霉)鐨�
瀹氱京鍙婄瓑鍍规浠�锛岄€ｇ簩(x霉)鍑芥暩(sh霉)鑸囩啊鍠嚱鏁�(sh霉)鐨嗗彲娓�锛屽彲娓嚱鏁�(sh霉)闂滀簬浠ｆ暩(sh霉)閬嬬畻鍜屾サ闄愰亱绠楃殑灏侀枆鎬э紝
鍙脯鍑芥暩(sh霉)鍚岀啊鍠嚱鏁�(sh霉)鍒楃殑闂滅郴锛屸€滃咕涔庤檿铏曗€濈殑姒傚康銆�
搂2 钁夋灉娲涘か瀹氱悊锛氬彲娓嚱鏁�(sh霉)鍒楃殑鏀舵杺鎬�, 钁夋灉娲涘か瀹氱悊銆�
搂3 鍙脯鍑芥暩(sh霉)鐨勬閫狅細榄噾瀹氱悊锛堝叐绋舰寮忥級
搂4 渚濇脯搴︽敹鏂傦細渚濇脯搴︽敹鏂�锛屼緷娓害鏀舵杺鑸囧咕涔庤檿铏曟敹鏂備簰涓嶅寘鍚殑渚嬪瓙锛屽嫆璨濇牸瀹�
鐞�锛岄粠鏂畾鐞�锛屼緷娓害鏀舵杺妤甸檺鐨勫敮涓€鎬�銆�
2. 鑰冭│瑕佹眰顎�
鈶� 浜嗚В榛為泦涓婄殑閫ｇ簩(x霉)鍑芥暩(sh霉)銆佸嚱鏁�(sh霉)鍒楃殑涓婃サ闄愯垏涓嬫サ闄�銆佲€滃咕涔庤檿铏曗€濈瓑姒傚康銆�
鈶� 鐞嗚В鍙脯鍑芥暩(sh霉)鐨勫畾缇╁強鍏跺湪浠ｆ暩(sh霉)閬嬬畻鑸囨サ闄愰亱绠椾笅鐨勫皝闁夋€�锛屽彲娓嚱鏁�(sh霉)鍙〃鐐虹啊鍠�
鍑芥暩(sh霉)鍒楃殑妤甸檺銆�
鈶� 浜嗚В榄噾瀹氱悊锛岀煡閬撳彲娓嚱鏁�(sh霉)鍚岄€ｇ簩(x霉)鍑芥暩(sh霉)涔嬮枔鐨勯棞绯汇€�
鈶� 鐞嗚В鍙脯鍑芥暩(sh霉)鍒楃殑涓€鑷存敹鏂�銆佸咕涔庤檿铏曟敹鏂傚強渚濇脯搴︽敹鏂傜殑姒傚康鍙婂畠鍊戜箣闁撶殑鐩镐簰
闂滅郴銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸 鍙脯鍑芥暩(sh霉)瀹氱京鍙婄瓑鍍规浠�锛屽彲娓嚱鏁�(sh霉)闂滀簬浠ｆ暩(sh霉)閬嬬畻鍜屾サ闄愰亱绠楃殑灏侀枆鎬�锛屼緷娓害
鏀舵杺鑸囧咕涔庤檿铏曟敹鏂傜殑闂滅郴锛岄閲戝畾鐞�銆�
闆ｉ粸 钁夋灉娲涘か瀹氱悊锛岄粠鏂畾鐞�锛岄閲戝畾鐞�銆�
绗簲绔�銆佸嫆璨濇牸绌嶅垎
1. 鑰冭│鍏�(n猫i)瀹�
搂5.1 榛庢浖绌嶅垎锛氶粠鏇肩⿳鍒嗗畾缇╋紝閬斿竷瀹氱悊锛�
搂5.2 鍕掕矟鏍肩⿳鍒嗙殑瀹氱京锛氭脯搴︽湁闄愰泦鍚堜笂鏈夌晫鍑芥暩(sh霉)鐨勫嫆璨濇牸澶у拰鑸囧皬鍜�锛屼笂绌嶅垎鑸囦笅
绌嶅垎锛屾湁鐣屽嫆璨濇牸鍙⿳鍑芥暩(sh霉)锛屾湁鐣屽彲绌嶇殑鍏呰姊濅欢鏄湁鐣屽彲娓紝鏈夌晫鍕掕矟鏍煎彲绌嶅嚱鏁�(sh霉)鐨勯亱绠�
鎬ц唱锛屽嫆璨濇牸绌嶅垎鑸囬粠鏇肩⿳鍒嗙殑闂滅郴銆�
搂5.3 鍕掕矟鏍肩⿳鍒嗙殑鎬ц唱锛氭湁鐣屽嚱鏁�(sh霉)绌嶅垎鐨勭⿳鍒嗗崁(q奴)鍩熻垏琚⿳鍑芥暩(sh霉)鐨勬湁闄愬彲鍔犳€э紝绌嶅垎鐨�
绶氭€ф€ц唱銆傜⿳鍒嗙殑鍠鎬ц垏绲曞皪鍙⿳鎬�锛�
搂5.4 涓€鑸彲绌嶅嚱鏁�(sh霉)锛氶潪璨犲嚱鏁�(sh霉)绌嶅垎瀛樺湪鑸囧彲绌嶇殑瀹氱京锛屼竴鑸嚱鏁�(sh霉)绌嶅垎瀛樺湪鑸囧彲绌嶅畾缇�锛�
鍕掕矟鏍肩⿳鍒嗙殑鎬ц唱銆�
搂5.5 绌嶅垎鐨勬サ闄愬畾鐞嗭細鍕掕矟鏍兼帶鍒舵敹鏂傚畾鐞嗭紝鍒楃董婕稿崌鍑芥暩(sh霉)鍒楃⿳鍒嗗畾鐞嗭紝鍕掕矟鏍奸€愰爡
绌嶅垎瀹氱悊锛屽彲绌嶅嚱鏁�(sh霉)绌嶅垎鍗€(q奴)鍩熷彲鍒楀彲鍔犳€�锛屾硶閮藉紩鐞�锛屽唬缇╅粠鏇煎彲绌嶈垏鍕掕矟鏍煎彲绌嶇殑闂滅郴銆�
搂5.6 鍕掕矟鏍肩⿳鍒嗙殑骞句綍鎰忕京. 瀵屾瘮灏煎畾鐞嗭細鐩寸⿳銆佹埅闈㈢殑姒傚康鍙婃€ц唱锛屽嫆璨濇牸绌嶅垎鐨�
骞句綍鎰忕京.锛屽瘜姣斿凹瀹氱悊銆�
2. 鑰冭│瑕佹眰顎�
鈶� 鐞嗚В鍕掕矟鏍肩⿳鍒嗙殑瀹氱京鍙婂叾鍩烘湰鎬ц唱锛岀壒鍒ユ槸绲曞皪鍙⿳鎬у拰绲曞皪閫ｇ簩(x霉)鎬ф槸鍕掕矟鏍肩⿳
鍒嗙殑閲嶈鐗瑰緛銆�
鈶� 鐞嗚В鍕掕矟鏍兼帶鍒舵敹鏂傚畾鐞�銆佸嫆璨濇牸閫愰爡绌嶅垎瀹氱悊銆佸垪缍畾鐞嗗拰娉曢兘寮曠悊锛屽苟鎺屾彙瀹�
鍊戠殑鎳夌敤銆�
鈶� 鐭ラ亾鍕掕矟鏍肩⿳鍒嗚垏榛庢浖绌嶅垎鐨勯棞绯汇€�
鈶� 鐭ラ亾鐩寸⿳銆佹埅闈㈢殑姒傚康鍙婃€ц唱锛岀啛璀樺嫆璨濇牸绌嶅垎鐨勫咕浣曟剰缇�.锛屼簡瑙ｅ瘜姣斿凹瀹氱悊銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸 鍕掕矟鏍肩⿳鍒嗙殑鎬ц唱锛岀⿳鍒嗘サ闄愬畾鐞�銆�
闆ｉ粸 鍕掕矟鏍肩⿳鍒嗙殑鎬ц唱鍙婂叾鎳夌敤銆�
绗簩閮ㄥ垎锛氬父寰垎鏂圭▼
绗竴绔� 绶掕珫
1. 鑰冭│鍏�(n猫i)瀹�
鏌愪簺鐗╃悊閬庣▼鐨勬暩(sh霉)瀛告ā鍨嬨€佸熀鏈蹇�銆�
2锛庤€冭│瑕佹眰
鍚戝鐢熶粙绱瑰井鍒嗘柟绋嬬殑杓粨銆�
3锛庨噸榛炶垏闆ｉ粸
鍩烘湰姒傚康銆佸皫鍑哄井鍒嗘柟绋嬬殑渚嬪瓙銆�
搂1.鏌愪簺鐗╃悊閬庣▼鐨勬暩(sh霉)瀛告ā鍨�
搂2.鍩烘湰姒傚康
绗簩绔� 涓€闅庡井鍒嗘柟绋嬬殑鍒濈瓑瑙ｆ硶
1. 鑰冭│鍏�(n猫i)瀹�
璁婇噺鍒嗛洟鏂圭▼鑸囪畩閲忚畩鎻涖€佺窔鎬ф柟绋嬭垏甯告暩(sh霉)璁婃槗娉�銆佹伆鐣舵柟绋嬭垏绌嶅垎鍥犲瓙銆佷竴闅庨毐鏂圭▼
鑸囧弮鏁�(sh霉)琛ㄧず銆�
2锛庤€冭│瑕佹眰
瑕佹眰瀛哥敓瀛稿畬鏈珷鍚庤兘杩呴€熷崁(q奴)鍒嗘柟绋嬬殑椤炲瀷锛屽苟鏍规摎(j霉)鏂圭▼鐨勯鍨嬬敤鐩告噳鐨勬柟娉曠啛绶村湴姹�
鍑洪€氳В銆�3锛庨噸榛炶垏闆ｉ粸
璁婇噺璁婃彌鑸囪畩閲忓垎闆㈡柟绋�銆佺窔鎬ф柟绋嬭垏甯告暩(sh霉)璁婃槗娉�銆佹伆鐣舵柟绋嬭垏绌嶅垎鍥犲瓙銆�
搂1.璁婇噺鍒嗛洟鏂圭▼鑸囪畩閲忚畩鎻�
搂2.绶氭€ф柟绋嬭垏甯告暩(sh霉)璁婃槗娉�
搂3.鎭扮暥鏂圭▼鑸囩⿳鍒嗗洜瀛�
搂4.涓€闅庨毐鏂圭▼鑸囧弮鏁�(sh霉)琛ㄧず
绗笁绔� 涓€闅庡井鍒嗘柟绋嬬殑瑙ｇ殑瀛樺湪瀹氱悊
1. 鑰冭│鍏�(n猫i)瀹�
瑙ｇ殑瀛樺湪鍞竴鎬у畾鐞嗚垏閫愭閫艰繎娉曘€佽В鐨勫欢鎷�銆佽В灏嶅垵鍊肩殑閫ｇ簩(x霉)鎬у拰鍙井鎬у畾鐞�銆佸瑙ｃ€�
2锛庤€冭│瑕佹眰
瑕佹眰鐔熸倝瀹氱悊鐨勫収(n猫i)瀹瑰拰瀛樺湪鍞竴鎬у畾鐞嗙殑璀夋槑锛岃姹傛帉鎻￠€愭閫艰繎娉曡垏Gronwall寮曠悊銆�
3锛庨噸榛炶垏闆ｉ粸
瑙ｇ殑瀛樺湪鍞竴鎬у畾鐞嗚垏閫愭閫艰繎娉�銆�
搂1.瑙ｇ殑瀛樺湪鍞竴鎬у畾鐞嗚垏閫愭閫艰繎娉�
搂2.瑙ｇ殑寤舵嫇
搂3.瑙ｅ皪鍒濆€肩殑閫ｇ簩(x霉)鎬у拰鍙井鎬у畾鐞�
搂4.濂囪В
绗洓绔� 楂橀殠寰垎鏂圭▼
1. 鑰冭│鍏�(n猫i)瀹�
绶氭€у井鍒嗘柟绋嬬殑涓€鑸悊璜�銆佸父绯绘暩(sh霉)绶氭€ф柟绋嬬殑瑙ｆ硶銆侀珮闅庢柟绋嬬殑闄嶉殠鍜屽啰绱氭暩(sh霉)瑙ｆ硶銆�
2锛庤€冭│瑕佹眰
瑕佹眰鐔熺反鐨勬帉鎻¤В鐨勫熀鏈畾鐞嗗拰甯哥郴鏁�(sh霉)鏂圭▼鐨勮В娉�銆�
3锛庨噸榛炶垏闆ｉ粸
甯哥郴鏁�(sh霉)鏂圭▼鐨勮В娉曪紝鍐礆鏁�(sh霉)瑙ｆ硶銆�
搂1.绶氭€у井鍒嗘柟绋嬬殑涓€鑸悊璜�
搂2.甯哥郴鏁�(sh霉)绶氭€ф柟绋嬬殑瑙ｆ硶
搂3.楂橀殠鏂圭▼鐨勯檷闅庡拰鍐礆鏁�(sh霉)瑙ｆ硶
绗簲绔犵窔鎬у井鍒嗘柟绋嬬祫
1. 鑰冭│鍏�(n猫i)瀹�
绶氭€у井鍒嗘柟绋嬬祫鐨勪竴鑸悊璜栵紝甯哥郴鏁�(sh霉)寰垎鏂圭▼绲�銆�
2锛庤€冭│瑕佹眰
鎺屾彙鏂圭▼绲勭殑鍩烘湰瀹氱悊鍜屽父绯绘暩(sh霉)鏂圭▼绲勭殑瑙ｆ硶銆�
3锛庨噸榛炶垏闆ｉ粸
甯哥郴鏁�(sh霉)鏂圭▼绲勭殑瑙ｆ硶銆�
搂1.瀛樺湪鍞竴鎬у畾鐞�
搂2.绶氭€у井鍒嗘柟绋嬬祫鐨勪竴鑸悊璜�
搂3.绶氭€у井鍒嗘柟绋嬬祫鐨勪竴鑸悊璜�
绗笁閮ㄥ垎锛氭鐜囪珫鑸囨暩(sh霉)鐞嗙当(t菕ng)瑷�
绗竴绔� 姒傜巼璜栫殑鍩烘湰姒傚康
1. 鑰冭│鍏�(n猫i)瀹�
搂1 闅ㄦ瑭﹂銆�
搂2 妯ｆ湰绌洪枔銆侀毃姗熶簨浠讹細妯ｆ湰绌洪枔锛岄毃姗熶簨浠讹紝浜嬩欢闁撶殑闂滅郴鍙婂叾閬嬬畻銆�
搂3 闋荤巼鑸囨鐜囷細闋荤巼鍙婂叾鎬ц唱锛屾鐜囩殑瀹氱京锛屾鐜囩殑鎬ц唱銆�
搂4 绛夊彲鑳芥鍨嬶紙鍙ゅ吀姒傚瀷锛夈€�
搂5 姊濅欢姒傜巼锛氭浠舵鐜�锛屼箻娉曞叕寮忥紝鍏ㄦ鐜囧叕寮忓拰璨濊憠鏂叕寮�銆�
搂6 鐛ㄧ珛鎬�銆�
2. 鑰冭│瑕佹眰顎�
鈶� 鎺屾彙锛氫簨浠剁殑闂滅郴鑸囬亱绠�锛屾鐜囩殑鎬ц唱锛岀瓑鍙兘姒傚瀷锛屼箻娉曞叕寮�锛屽叏姒傜巼鍏紡鍜�
璨濊憠鏂叕寮�锛屾渻鐢ㄥ畠鍊戣В绛旂浉闂滅殑鍟忛銆�
鈶� 鐔熸倝锛氶毃姗熶簨浠�锛涙鐜�銆佹浠舵鐜囥€佷簨浠剁殑鐛ㄧ珛鎬х殑姒傚康銆�
鈶� 浜嗚В锛氶毃姗熻│椹�銆佹ǎ鏈┖闁撶殑姒傚康
3. 閲嶉粸銆侀洠榛�
閲嶉粸锛氫簨浠剁殑闂滅郴鑸囬亱绠楋紝姒傜巼鐨勬€ц唱锛屽彜鍏告鍨�锛屾浠舵鐜囷紝鍏ㄦ鐜囧叕寮忓拰璨濊憠鏂叕
寮�锛涗簨浠剁殑鐛ㄧ珛鎬�銆�
闆ｉ粸锛氬叏姒傜巼鍏紡鍜岃矟钁夋柉鍏紡锛�
绗簩绔� 闅ㄦ璁婇噺鍙婂叾鍒嗗竷
1. 鑰冭│鍏�(n猫i)瀹�
搂1 闅ㄦ璁婇噺
搂2 闆㈡暎鍨嬮毃姗熻畩閲忥細闆㈡暎鍨嬮毃姗熻畩閲忓強鍏跺垎甯冨緥锛屽父鐢ㄥ垎甯冿紙0-1 鍒嗗竷锛屼集鍔埄瑭﹂銆�
浜岄爡鍒嗗竷锛屾硦鏉惧垎甯冿級
搂3 闅ㄦ璁婇噺鐨勫垎甯冨嚱鏁�(sh霉)锛氬垎甯冨嚱鏁�(sh霉)鍙婂叾鎬ц唱锛岄洟鏁ｅ瀷闅ㄦ璁婇噺鐨勫垎甯冨嚱鏁�(sh霉)銆�
搂4 閫ｇ簩(x霉)鍨嬮毃姗熻畩閲忓叾姒傜巼瀵嗗害锛氶€ｇ簩(x霉)鍨嬮毃姗熻畩閲忓強鍏舵鐜囧瘑搴�锛屽父鐢ㄥ垎甯冿紙鍧囧嫽鍒嗗竷锛�
鎸囨暩(sh霉)鍒嗗竷锛屾鎱�(t脿i)鍒嗗竷锛夈€�
搂5 闅ㄦ璁婇噺鍑芥暩(sh霉)鐨勫垎甯冿細闆㈡暎鍨嬮毃姗熻畩閲忓嚱鏁�(sh霉)鐨勫垎甯�锛岄€ｇ簩(x霉)鍨嬮毃姗熻畩閲忓嚱鏁�(sh霉)鐨勫垎甯�銆�
2. 鑰冭│瑕佹眰顎�
鈶� 鎺屾彙锛� 闅ㄦ璁婇噺鐨勫垎甯冨緥銆佸垎甯冨嚱鏁�(sh霉)銆佸瘑搴﹀嚱鏁�(sh霉)鐨勫熀鏈€ц唱锛岄毃姗熻畩閲忓嚱鏁�(sh霉)鐨勫垎
甯�锛屾渻鐢ㄥ畠鍊戣В绛旂浉闂滅殑鍟忛銆�
鈶� 鐔熸倝锛� 闅ㄦ璁婇噺鐨勫垎甯冨緥銆佸垎甯冨嚱鏁�(sh霉)銆佸瘑搴﹀嚱鏁�(sh霉)銆侀毃姗熻畩閲忓嚱鏁�(sh霉)鐨勬蹇碉紱甯哥敤鍒嗗竷
锛�0-1 鍒嗗竷锛屼簩闋呭垎甯�锛屾硦鏉惧垎甯�锛屽潎鍕诲垎甯�锛屾寚鏁�(sh霉)鍒嗗竷锛屾鎱�(t脿i)鍒嗗竷锛�锛涙婧栨鎱�(t脿i)鍒嗗竷琛ㄧ殑
浣跨敤銆�
鈶� 浜嗚В锛氶毃姗熻畩閲忕殑姒傚康锛涘父鐢ㄥ垎甯冪浉闂滀俊鎭�銆佷簩闋呭垎甯冦€佹硦鏉惧垎甯冭垏姝ｆ厠(t脿i)鍒嗗竷鐨勬几
杩戦棞绯�銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸锛氶毃姗熻畩閲忕殑鍒嗗竷寰嬨€佸垎甯冨嚱鏁�(sh霉)銆佸瘑搴﹀嚱鏁�(sh霉)鐨勫熀鏈€ц唱锛涘父鐢ㄥ垎甯�锛涢毃姗熻畩閲忓嚱鏁�(sh霉)
鐨勫垎甯�銆�
闆ｉ粸锛氶毃姗熻畩閲忓嚱鏁�(sh霉)鐨勫垎甯�銆�
绗笁绔� 澶氱董闅ㄦ璁婇噺鍙婂叾鍒嗗竷
1. 鑰冭│鍏�(n猫i)瀹�
搂1 浜岀董闅ㄦ璁婇噺锛氫簩缍毃姗熻畩閲忓強鍏惰伅(li谩n)鍚堝垎甯冨嚱鏁�(sh霉)锛屼簩缍洟鏁ｅ瀷闅ㄦ璁婇噺鐨勮伅(li谩n)鍚堝垎甯�
寰�锛屼簩缍€ｇ簩(x霉)鍨嬮毃姗熻畩閲忓強鍏惰伅(li谩n)鍚堟鐜囧瘑搴�锛宯 缍毃姗熻畩閲忓強鍏跺垎甯冨嚱鏁�(sh霉)
搂2 閭婄罚鍒嗗竷锛氫簩缍洟鏁ｅ瀷闅ㄦ璁婇噺鐨勯倞绶ｅ垎甯冨緥锛屼簩缍€ｇ簩(x霉)鍨嬮毃姗熻畩閲忓強鍏堕倞绶ｆ鐜�
瀵嗗害銆�
搂3 姊濅欢鍒嗗竷锛氫簩缍洟鏁ｅ瀷闅ㄦ璁婇噺鐨勬浠跺垎甯冨緥锛屼簩缍€ｇ簩(x霉)鍨嬮毃姗熻畩閲忓強鍏舵浠舵鐜�
瀵嗗害銆�
搂4 鐩镐簰鐛ㄧ珛鐨勯毃姗熻畩閲忋€�
搂5 鍏╁€嬮毃姗熻畩閲忕殑鍑芥暩(sh霉)鐨勫垎甯冿細X+Y 鐨勫垎甯�锛宮ax(X,Y)鑸� min(X,Y)鐨勫垎甯冦€�
2. 鑰冭│瑕佹眰顎�
鈶� 鎺屾彙锛氬叐鍊嬮毃姗熻畩閲忕殑鑱�(li谩n)鍚堝垎甯�銆佽伅(li谩n)鍚堝垎甯冨緥銆佽伅(li谩n)鍚堟鐜囧瘑搴﹁垏鍏堕倞绶ｅ垎甯冦€侀倞绶�
鍒嗗竷鐜�銆侀倞绶ｆ鐜囧瘑搴︾殑闂滅郴锛涢毃姗熻畩閲忕崹绔嬬殑姊濅欢锛涗簩缍潎鍕诲垎甯冨拰浜岀董姝ｆ厠(t脿i)鍒嗗竷銆�
鈶� 鐔熸倝锛氶毃姗熻畩閲忕殑鑱�(li谩n)鍚堝垎甯冨嚱鏁�(sh霉)鐨勬蹇靛拰鍩烘湰鎬ц唱锛涚浉浜掔崹绔嬬殑闅ㄦ璁婇噺姒傚康锛�
鈶� 浜嗚В锛氭浠跺垎甯�锛屼簩缍毃姗熻畩閲忕殑鍑芥暩(sh霉)鐨勫垎甯冿紝
3. 閲嶉粸銆侀洠榛�
閲嶉粸锛氬叐鍊嬮毃姗熻畩閲忕殑鑱�(li谩n)鍚堝垎甯冪殑閭婄罚鍒嗗竷锛涢毃姗熻畩閲忕崹绔嬬殑姊濅欢锛涗簩缍潎鍕诲垎甯冨拰浜�
缍鎱�(t脿i)鍒嗗竷
闆ｉ粸锛氫簩缍毃姗熻畩閲忕殑鍑芥暩(sh霉)鐨勫垎甯�銆�
绗洓绔� 闅ㄦ璁婇噺鐨勬暩(sh霉)瀛楃壒寰�
1. 鑰冭│鍏�(n猫i)瀹�
搂1 鏁�(sh霉)瀛告湡鏈涳細鏁�(sh霉)瀛告湡鏈涚殑瀹氱京锛岄毃姗熻畩閲忓嚱鏁�(sh霉)鐨勬暩(sh霉)瀛告湡鏈�锛屾暩(sh霉)瀛告湡鏈涚殑鎬ц唱銆�
搂2 鏂瑰樊锛氭柟宸�銆佹婧栧樊鐨勫畾缇╋紝鏂瑰樊鐨勬€ц唱锛屽垏姣旈洩澶笉绛夊紡銆�
搂3 鍗�(xi茅)鏂瑰樊鍙婄浉闂滅郴鏁�(sh霉)銆�
搂4 鐭┿€佸崝(xi茅)鏂瑰樊鐭╅櫍銆�
2. 鑰冭│瑕佹眰顎�
鈶� 鎺屾彙锛� 0鈥�1锛夊垎甯冦€佷簩闋呭垎甯�銆佹硦鏉惧垎甯�銆佸潎鍕诲垎甯�銆佹鎱�(t脿i)鍒嗗竷銆佹寚鏁�(sh霉)鍒嗗竷鐨勬暩(sh霉)瀛�
鐗瑰緛锛岄毃姗熻畩閲忓嚱鏁�(sh霉)鐨勬湡鏈�锛屾湡鏈�銆佹柟宸殑鎬ц唱锛屽垏姣旈洩澶笉绛夊紡銆�
鈶� 鐔熸倝锛涢毃姗熻畩閲忔暩(sh霉)瀛楃壒寰佺殑姒傚康锛屽崝(xi茅)鏂瑰樊鍙婄浉闂滅郴鏁�(sh霉)鐨勬剰缇╁拰瑷堢畻銆�
鈶� 浜嗚В锛氱煩銆佸崝(xi茅)鏂瑰樊鐭╅櫍銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸锛氬父鐢ㄥ垎甯冪殑鏁�(sh霉)瀛楃壒寰�锛岄毃姗熻畩閲忓嚱鏁�(sh霉)鐨勬湡鏈�锛屾湡鏈�銆佹柟宸殑鎬ц唱锛屽垏姣旈洩澶笉绛�
寮忥紝鍗�(xi茅)鏂瑰樊鍙婄浉闂滅郴鏁�(sh霉)銆�
闆ｉ粸锛氶毃姗熻畩閲忓嚱鏁�(sh霉)鐨勬湡鏈涳紝 鐭�銆佸崝(xi茅)鏂瑰樊鐭╅櫍銆�
绗簲绔犲ぇ鏁�(sh霉)瀹氬緥鍙婁腑蹇冩サ闄愬畾鐞�
1. 鑰冭│鍏�(n猫i)瀹�
搂1 澶ф暩(sh霉)瀹氬緥
搂2 涓績妤甸檺瀹氱悊
2. 鑰冭│瑕佹眰顎�
浜嗚В锛氬ぇ鏁�(sh霉)瀹氬緥鍙婁腑蹇冩サ闄愬畾鐞�銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸锛氬ぇ鏁�(sh霉)瀹氬緥鍙婁腑蹇冩サ闄愬畾鐞�
闆ｉ粸锛氬ぇ鏁�(sh霉)瀹氬緥鍙婁腑蹇冩サ闄愬畾鐞嗐€�
绗叚绔� 鎶芥ǎ鍒嗗竷
1. 鑰冭│鍏�(n猫i)瀹�
搂1 闅ㄦ妯ｆ湰
搂2 鎶芥ǎ鍒嗗竷锛氱当(t菕ng)瑷堥噺锛屾娊妯ｅ垎甯�锛屽€嬮噸瑕佹娊妯ｅ垎甯�( ?
2
鍒嗗竷, t 鍒嗗竷, F 鍒嗗竷)锛屾鎱�(t脿i)
绺介珨鐨勬ǎ鏈潎鍊艰垏妯ｆ湰鏂瑰樊鐨勫垎甯冦€�
2. 鑰冭│瑕佹眰顎�
鈶� 鎺屾彙锛氭鎱�(t脿i)绺介珨鐨勬ǎ鏈潎鍊艰垏妯ｆ湰鏂瑰樊鐨勫垎甯�銆�
鈶� 鐔熸倝锛氱附楂�, 鍊嬮珨, 妯ｆ湰, 绲�(t菕ng)瑷堥噺姒傚康锛屽父鐢ㄧ当(t菕ng)瑷堥噺锛屾娊妯ｅ垎甯冨垎浣嶉粸鐨勬蹇�锛屾渻
鏌ヨ〃姹傚垎浣嶉粸銆�
鈶� 浜嗚В锛氭娊妯ｅ垎甯冿紝?2
鍒嗗竷銆乼 鍒嗗竷銆丗 鍒嗗竷鐨勫畾缇╁強鐩搁棞鎬ц唱銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸锛氱附楂�, 鍊嬮珨, 妯ｆ湰, 绲�(t菕ng)瑷堥噺姒傚康锛屽父鐢ㄧ当(t菕ng)瑷堥噺锛屼笁鍊嬮噸瑕佹娊妯ｅ垎甯�锛屾鎱�(t脿i)绺介珨鐨�
妯ｆ湰鍧囧€艰垏妯ｆ湰鏂瑰樊鐨勫垎甯�銆�
闆ｉ粸锛氭娊妯ｅ垎甯�銆�
绗竷绔� 鍙冩暩(sh霉)浼拌▓
1. 鑰冭│鍏�(n猫i)瀹�
搂1 榛炰及瑷堬細鐭╀及瑷堟硶,鏈€澶т技鐒朵及瑷堟硶銆�
搂2 鍩轰簬鎴熬妯ｆ湰鐨勬渶澶т技鐒朵及瑷�
搂3 浼拌▓閲忕殑瑭曢伕妯欐簴锛氱劇鍋忎及瑷堥噺锛屾湁鏁堟€�锛岀浉鍚堟€с€�
搂4 鍗€(q奴)闁撲及瑷�銆�
搂5 姝ｆ厠(t脿i)绺介珨鐨勫潎鍊艰垏鏂瑰樊鐨勫崁(q奴)闁撲及瑷堬細鍧囧€�?鐨勭疆淇″崁(q奴)闁�锛屾柟宸�?鐨勭疆淇″崁(q奴)闁�锛涘叐鍊�
姝ｆ厠(t脿i)绺介珨鍧囧€煎樊鐨勭疆淇″崁(q奴)闁擄紝鏂瑰樊姣旂殑缃俊鍗€(q奴)闁�銆�
搂6 0-1 鍒嗗竷鍙冩暩(sh霉)鐨勫崁(q奴)闁撲及瑷�銆�
搂7 鍠伌缃俊鍗€(q奴)闁�
2. 鑰冭│瑕佹眰顎�
鈶� 鎺屾彙锛氱煩娉曚及瑷堝拰妤靛ぇ浼肩劧浼拌▓娉�锛屾渻姹傚柈鍊嬫鎱�(t脿i)绺介珨鐨勫潎鍊煎拰鏂瑰樊鐨勭疆淇″崁(q奴)闁�锛�
鏈冮璀変及瑷堥噺鐨勭劇鍋忔€�銆�
鈶� 鐔熸倝锛氬弮鏁�(sh霉)鐨勯粸浼拌▓銆佺疆淇″崁(q奴)闁撶殑姒傚康锛屼及瑷堥噺鐨勭劇鍋忔€ф蹇点€�
鈶� 浜嗚В锛氬熀浜庢埅灏炬ǎ鏈殑鏈€澶т技鐒朵及瑷�锛屾湁鏁堟€э紙鏈€灏忔柟宸€э級鍜屼竴鑷存€э紙鐩稿悎鎬э級
鐨勬蹇�锛�0-1 鍒嗗竷鍙冩暩(sh霉)鐨勫崁(q奴)闁撲及瑷�锛屽柈鍋寸疆淇″崁(q奴)闁�銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸锛氱煩娉曚及瑷堝拰妤靛ぇ浼肩劧浼拌▓娉�锛屽柈鍊嬫鎱�(t脿i)绺介珨鍧囨暩(sh霉)鑸囨柟宸殑鍗€(q奴)闁撲及瑷堟柟娉�銆�
闆ｉ粸锛氭サ澶т技鐒舵瘮娉�锛屼及瑷堥噺鐨勮⿻閬告婧�銆�
绗叓绔� 鍋囪ō妾㈤
1. 鑰冭│鍏�(n猫i)瀹�
搂1 鍋囪ō妾㈤
搂2 姝ｆ厠(t脿i)绺介珨鍧囧€肩殑鍋囪ō妾㈤锛氬柈鍊嬫鎱�(t脿i)绺介珨鐨� z 妾㈤锛宼 妾㈤锛涘叐鍊嬫鎱�(t脿i)绺介珨鐨� t 妾�
椹�锛�
搂3 姝ｆ厠(t脿i)绺介珨鏂瑰樊鐨勬椹楋細鍠€嬫鎱�(t脿i)绺介珨鐨�?
2
妾㈤锛屽叐鍊嬫鎱�(t脿i)绺介珨鐨� F 妾㈤銆�
搂4 缃俊鍗€(q奴)闁撹垏鍋囪ō妾㈤涔嬮枔鐨勯棞绯�
搂5 妯ｆ湰瀹归噺鐨勯伕鍙�
搂6 鍒嗗竷鎿悎妾㈤锛�?2
鎿悎妾㈤娉曪紝鍋忓嘲銆佸嘲搴︽椹椼€�
搂7 绉╁拰妾㈤
2. 鑰冭│瑕佹眰顎�
鈶� 鎺屾彙锛氭鎱�(t脿i)绺介珨鍧囧€�銆佹柟宸殑鍋囪ō妾㈤娉曘€�
鈶� 鐔熸倝锛氬亣瑷椹楃殑鍩烘湰姒傚康銆佸熀鏈€濇兂鏂规硶銆�
鈶� 浜嗚В锛氱疆淇″崁(q奴)闁撹垏鍋囪ō妾㈤涔嬮枔鐨勯棞绯�锛屽亣瑷椹楀彲鑳界敘(ch菐n)鐢熺殑鍏╅閷锛屽垎甯冩摤鍚�
妾㈤锛岀З鍜屾椹�銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸锛氭鎱�(t脿i)绺介珨鍧囧€�銆佹柟宸殑鍋囪ō妾㈤娉�銆�
闆ｉ粸锛氬亣瑷椹楀彲鑳界敘(ch菐n)鐢熺殑鍏╅閷銆�
鍙冭€冩暀鏉愭垨涓昏鍙冭€冩浉锛�
銆婃鐜囪珫鑸囨暩(sh霉)鐞嗙当(t菕ng)瑷堛€�锛屾涔嬭垳绛夌法锛岄珮绛夋暀鑲插嚭鐗堢ぞ
銆婂璁婂嚱鏁�(sh霉)鑸囨硾鍑藉垎鏋愬熀绀庛€嬶紙绗簩鐗堬級绋嬪叾瑗� 寮靛瀹� 榄忓湅寮� 鑳″杽鏂� 鐜嬫急鐭� 绶�
楂樼瓑鏁欒偛鍑虹増绀� 2003 骞� 7 鏈堢 2 鐗�
銆婂璁婂嚱鏁�(sh霉)璜栥€嬶紙绗簩鐗堬級姹熸兢鍫呭惓鏅烘硥绶ㄩ珮绛夋暀鑲插嚭鐗堢ぞ 1994 骞� 6 鏈堢 2 鐗�锛�
銆婂璁婂嚱鏁�(sh霉)璜栥€嬪緪姒瑠閲戦暦婢や富绶ㄩ伡瀵т汉姘戝嚭鐗堢ぞ 1984 骞� 10 鏈堢 1 鐗�锛�
銆婂璁婂嚱鏁�(sh霉)鑸囨硾鍑藉垎鏋愭瑕併€嬮劖缍 鐜嬭伈鏈涚法楂樼瓑鏁欒偛鍑虹増绀� 1989 骞� 5 鏈堢 2 鐗�锛�
銆婂父寰垎鏂圭▼銆�锛岀帇楂橀泟绛夌法锛岄珮绛夋暀鑲插嚭鐗堢ぞ
鍏嶈铂鑱叉槑锛氭湰鏂囩郴杞夎級鑷恫(w菐ng)绲�锛屽鏈変镜鐘�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�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€�銆佸強鏅傛€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�锛屽苟璜嬭嚜琛屾牳瀵︾浉闂滃収(n猫i)瀹�銆�
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
