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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
娴峰崡甯寖澶у(xu茅) 2017 骞寸ⅸ澹爺绌剁敓鍏ュ(xu茅)鑰冭│鍒濊│绉戠洰
鑰� 瑭� 澶� 缍�
绉戠洰鍚嶇ū: 瀵�(sh铆)璁婂嚱鏁�(sh霉)
閬╃敤灏堟キ(y猫): 鏁�(sh霉)瀛�(xu茅)鍚勫皥妤�(y猫)
涓€銆佽€冭│褰㈠紡鑸囪│鍗风祼(ji茅)妲�(g貌u)
锛堜竴锛夎│鍗锋豢鍒嗗強鑰冭│鏅�(sh铆)闁�
鏈│鍗锋豢鍒嗙偤 100 鍒�锛岃€冭│鏅�(sh铆)闁撶偤 120 鍒嗛悩銆�
锛堜簩锛夌瓟椤屾柟寮�
绛旈鏂瑰紡鐐洪枆鍗�銆佺瓎瑭�銆�
瑭﹀嵎鐢辫│椤屽拰绛旈绱欑祫鎴愶紱绛旀蹇呴爤瀵湪绛旈绱欙紙鐢辫€冮粸(di菐n)鎻愪緵锛夌浉鎳�(y墨ng)鐨勪綅缃笂銆�
浜屻€佽€冩煡鐩(bi膩o)锛堝京(f霉)缈�(x铆)瑕佹眰锛�
鍏ㄦ棩鍒舵敾璁€纰╁＋瀛�(xu茅)浣嶇爺绌剁敓鍏ュ(xu茅)鑰冭│瀵�(sh铆)璁婂嚱鏁�(sh霉)绉戠洰鑰冭│鍏�(n猫i)瀹瑰寘鎷(sh铆)璁婂嚱鏁�(sh霉)涓€闁€瀛�(xu茅)绉戝熀
绀�(ch菙)瑾茬▼锛岃姹傝€冪敓绯荤当(t菕ng)鎺屾彙鐩搁棞(gu膩n)瀛�(xu茅)绉戠殑鍩烘湰鐭ヨ瓨銆佸熀绀�(ch菙)鐞嗚珫鍜屽熀鏈柟娉�锛屽苟鑳介亱(y霉n)鐢ㄧ浉闂�(gu膩n)鐞嗚珫
鍜屾柟娉曞垎鏋愩€佽В姹虹浉闂�(gu膩n)鐨勫(sh铆)闅涘晱椤�銆�
涓夈€佽€冭│鍏�(n猫i)瀹规瑕�
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�锛岄泦鍚堢殑鐩哥瓑銆�
搂2 闆嗗悎鐨勯亱(y霉n)绠楋細闆嗗悎鐨勫苟銆佷氦銆佸樊銆佽(b菙)閬�(y霉n)绠楀強鍏舵€ц唱(zh矛)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(zh矛)銆�
搂3 灏嶇瓑鑸囧熀鏁�(sh霉)锛氭槧灏勩€佸柈灏�銆佹豢灏勩€侀洐灏�锛岄€嗘槧灏勫強鍏舵€ц唱(zh矛)锛涘皪绛夊強鍏舵€ц唱(zh矛)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�(ji脿)姊濅欢锛屽彲鍒楅泦鍙婂叾鎬ц唱(zh矛)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(zh矛)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€呫€�
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(b菙)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�(y霉n)绠�锛�
鎺屾彙璀夋槑闆嗗悎闁撳寘鍚垏鐩哥瓑闂�(gu膩n)绯荤殑涓€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╁€�(g猫)闆嗗悎灏嶇瓑鐨勬柟娉�锛屾渻(hu矛)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(zh矛)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(di菐n)銆侀洠榛�(di菐n)
閲嶉粸(di菐n) 闆嗗悎鐨勯亱(y霉n)绠楀強鍏堕亱(y霉n)鎬ц唱(zh矛)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(zh矛)銆�
闆ｉ粸(di菐n)涓婇檺闆�銆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�(di菐n)闆�
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(zh矛)銆佹敹鏂傞粸(di菐n)鍒�銆侀粸(di菐n)闆嗙殑璺濋洟
鑸囩洿寰�銆佸崁(q奴)闁撴蹇点€�
搂2 鑱氶粸(di菐n)锛屽収(n猫i)榛�(di菐n)锛岀晫榛�(di菐n)锛氬収(n猫i)闆伙紝澶栭粸(di菐n)锛岄倞鐣岄粸(di菐n)锛岃仛榛�(di菐n)鍙婂绔嬮粸(di菐n)锛岃仛榛�(di菐n)鍙婂叾绛夊児(ji脿)姊濅欢锛岄倞
鐣岋紝鍏�(n猫i)鏍�銆佸皫(d菐o)闆嗚垏闁夊寘姒傚康鍙婂叾绨″柈鎬ц唱(zh矛)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(y霉n)绠楁€ц唱(zh矛)锛屾捣娑�-娉㈤浄鐖炬湁闄愯钃嬪畾鐞�锛�
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�(g貌u)閫狅細鐩寸窔涓婇枊闆�銆侀枆闆�銆佸畬鍌欓泦鐨勬(g貌u)閫�銆�
骞抽潰涓婇枊闆嗙殑妲�(g貌u)閫�锛屽悍鎵橈紙Cantor锛夐泦鐨勬(g貌u)閫犺垏鎬ц唱(zh矛)銆�
2. 鑰冭│瑕佹眰
鈶� 鐞嗚В閯板煙銆佸収(n猫i)榛�(di菐n)銆佽仛榛�(di菐n)銆侀枊闆�銆侀枆闆嗙瓑鍩烘湰姒傚康鍙婅仛榛�(di菐n)鐨勭瓑鍍�(ji脿)姊濅欢锛�
鈶� 鐔熺反鎺屾彙闁嬮泦銆侀枆闆嗙殑鎬ц唱(zh矛)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�(g貌u)閫�锛岀煡閬撶洿绶氫笂闁夐泦鍜屽畬鍌欓泦鐨勬(g貌u)閫�銆�
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�(g貌u)閫犲強鍏舵€ц唱(zh矛)銆�
3. 閲嶉粸(di菐n)銆侀洠榛�(di菐n)
閲嶉粸(di菐n) 鑱氶粸(di菐n)鍙婂叾绛夊児(ji脿)姊濅欢锛孊olzano-Weierstrass 瀹氱悊锛岀洿绶氫笂闁嬮泦鐨勬(g貌u)閫狅紝Borel 鏈夐檺
瑕嗚搵瀹氱悊锛孋antor 闆�銆�
闆ｉ粸(di菐n) 鑱氶粸(di菐n)銆佸収(n猫i)榛�(di菐n)銆侀枊闆�銆侀枆闆�銆佸畬鍌欓泦绛夋蹇碉紝Cantor 闆嗙殑妲�(g貌u)閫犲強鍏舵€ц唱(zh矛)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(zh矛)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(d煤)鍒╂浠�锛屽彲娓泦鐨勯亱(y霉n)绠楁€ц唱(zh矛)锛屽柈瑾�(di脿o)鍙脯闆嗗垪妤�
闄愮殑娓害銆�
搂3 鍙脯闆嗛锛氬崁(q奴)闁�銆侀枊闆�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�銆侀枆闆�銆丟6
鍨嬮泦銆丗?鍨嬮泦涔嬮枔鐨勯棞(gu膩n)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(zh矛)銆�
鈶� 鐞嗚В鍕掕矟鏍煎彲娓泦鐨勫畾缇╁苟鎺屾彙鍏堕亱(y霉n)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�(di脿o)鍙脯闆嗗垪妤甸檺鐨勬脯搴︺€�
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(gu膩n)
绯�銆�
3. 閲嶉粸(di菐n)銆侀洠榛�(di菐n)
閲嶉粸(di菐n) 鍕掕矟鏍煎彲娓泦鐨勯亱(y霉n)绠楁€ц唱(zh矛)锛屽柈瑾�(di脿o)鍙脯闆嗗垪妤甸檺鐨勬脯搴�锛屽彲娓泦鍚岄枊闆�銆侀枆闆�銆丟6 鍨�
闆嗕互鍙� F?鍨嬮泦涔嬮枔鐨勯棞(gu膩n)绯�銆�
闆ｉ粸(di菐n) 鍙脯闆嗘蹇电殑寮曞叆鑸囧彲娓泦鐨勬(g貌u)閫犮€�
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(zh矛)锛氶粸(di菐n)闆嗕笂鐨勫嚱鏁�(sh霉)锛氬唬缇╁(sh铆)鏁�(sh霉)绯� R=R鈭�(卤鈭�)鐨勯亱(y霉n)绠�?锛熻摻y鍑芥暩(sh霉)鐨�
瀹氱京鍙婄瓑鍍�(ji脿)姊濅欢锛岄€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�(gu膩n)浜庝唬鏁�(sh霉)閬�(y霉n)绠楀拰妤甸檺閬�(y霉n)绠楃殑灏侀枆鎬�锛�
鍙脯鍑芥暩(sh霉)鍚岀啊鍠嚱鏁�(sh霉)鍒楃殑闂�(gu膩n)绯�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(g貌u)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с€�
2. 鑰冭│瑕佹眰顎�
鈶� 浜嗚В榛�(di菐n)闆嗕笂鐨勯€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�(y霉n)绠楄垏妤甸檺閬�(y霉n)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(gu膩n)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�(gu膩n)绯�銆�
3. 閲嶉粸(di菐n)銆侀洠榛�(di菐n)
閲嶉粸(di菐n) 鍙脯鍑芥暩(sh霉)瀹氱京鍙婄瓑鍍�(ji脿)姊濅欢锛屽彲娓嚱鏁�(sh霉)闂�(gu膩n)浜庝唬鏁�(sh霉)閬�(y霉n)绠楀拰妤甸檺閬�(y霉n)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�(gu膩n)绯伙紝榄噾瀹氱悊銆�
闆ｉ粸(di菐n) 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�锛岄仈(d谩)甯冨畾鐞嗭紝
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�锛屾湁鐣屽嫆璨濇牸鍙⿳鍑芥暩(sh霉)鐨勯亱(y霉n)绠�
鎬ц唱(zh矛)锛屽嫆璨濇牸绌嶅垎鑸囬粠鏇肩⿳鍒嗙殑闂�(gu膩n)绯汇€�
搂5.3 鍕掕矟鏍肩⿳鍒嗙殑鎬ц唱(zh矛)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€�锛岀⿳鍒嗙殑
绶氭€ф€ц唱(zh矛)銆傜⿳鍒嗙殑鍠(di脿o)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�(f霉)鍑芥暩(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(zh矛)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�锛屽垪缍几鍗囧嚱鏁�(sh霉)鍒楃⿳鍒嗗畾鐞嗭紝鍕掕矟鏍奸€愰爡(xi脿ng)
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�(gu膩n)绯汇€�
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(zh矛)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(zh矛)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(xi脿ng)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�(y墨ng)鐢�銆�
鈶� 鐭ラ亾鍕掕矟鏍肩⿳鍒嗚垏榛庢浖绌嶅垎鐨勯棞(gu膩n)绯汇€�
鈶� 鐭ラ亾鐩寸⿳銆佹埅闈㈢殑姒傚康鍙婃€ц唱(zh矛)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(di菐n)銆侀洠榛�(di菐n)
閲嶉粸(di菐n) 鍕掕矟鏍肩⿳鍒嗙殑鎬ц唱(zh矛)锛岀⿳鍒嗘サ闄愬畾鐞�銆�
闆ｉ粸(di菐n) 鍕掕矟鏍肩⿳鍒嗙殑鎬ц唱(zh矛)鍙婂叾鎳�(y墨ng)鐢�銆�
涓昏鍙冭€冩浉锛�
銆婂(sh铆)璁婂嚱鏁�(sh霉)銆�锛屽懆姘戝挤(qi谩ng)绶紝鍖椾含澶у(xu茅)鍑虹増绀撅紙绗簩鐗堬級
鍏嶈铂(z茅)鑱叉槑锛氭湰鏂囩郴杞�(zhu菐n)杓夎嚜缍�(w菐ng)绲�(lu貌)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€�(g猫)浜鸿榛�(di菐n)锛岃垏鏈恫(w菐ng)绔欑劇闂�(gu膩n)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(sh铆)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�銆佹枃瀛楃殑鐪熷(sh铆)鎬�銆佸畬鏁存€�銆佸強鏅�(sh铆)鎬ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛璁€鑰呭儏浣滃弮鑰冿紝骞惰珛鑷鏍稿(sh铆)鐩搁棞(gu膩n)鍏�(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� 
