姝¤繋瑷晱(w猫n)鑰冪爺绉樼睄鑰冪爺缍�(w菐ng)!    鐮旂┒鐢熸嫑鐢熶俊鎭恫(w菐ng)    鑰冨崥鐪熼涓嬭級    鑰冪爺鐪熼涓嬭級    鍏ㄧ珯鏂囩珷绱㈠紩
鏂囩珷鎼滅储
   
  楂樼礆(j铆)鎼滅储   

 鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 鑰冪爺绉樼睄鑰冪爺缍�(w菐ng) >> 鏂囩珷涓績 >> 灏堟キ(y猫)瑾� >> 姝f枃  瀹夊窘甯寖澶у(xu茅)鏁�(sh霉)瀛�(xu茅)銆婃硾鍑藉垎鏋愩€嬫湰绉戞暀瀛�(xu茅)澶х侗

鏂拌仦璩囪▕
鏅€氭枃绔� 涓婃捣甯�50瀹跺柈浣嶇恫(w菐ng)涓婃帴鍙楀挩瑭㈠拰鍫�(b脿o)鍚�
鏅€氭枃绔� 鍖椾含澶у(xu茅)鐢�“灏辨キ(y猫)涔嬪”鐮旂┒鐢熷皥鍫�(ch菐ng)鎷涜仒鍫�(ch菐ng)闈㈢伀鐖�
鏅€氭枃绔� 寤堝ぇ濂崇爺绌剁敓琚妗堢祩瀵╁垽姹� 鍏囨墜琚垽姝诲垜
鏅€氭枃绔� 寤f澅鍏牎缍�(w菐ng)涓婅│榛�(di菐n)鑰冪爺鍫�(b脿o)鍚嶅皣闁�(k膩i)濮�
鏅€氭枃绔� 2004骞寸ⅸ澹寳浜嫑鐢熷柈浣嶅牨(b脿o)鍚嶉粸(di菐n)涓€瑕�
鏅€氭枃绔� 娲涢櫧(y谩ng)楂樻柊鍗€(q奴)21鍚嶇ⅸ澹爺绌剁敓琚仒鐐轰腑灞ら牁(l菒ng)灏�(d菐o)
鏅€氭枃绔� 娴欐睙鐪佺ⅸ澹爺绌剁敓鍫�(b脿o)鍚嶅緸涓嬪懆涓€闁�(k膩i)濮�
鏅€氭枃绔� 2004骞翠笂娴疯€冨崁(q奴)缍�(w菐ng)涓婂牨(b脿o)鍚嶆檪(sh铆)闁撳畨鎺掕〃
鏅€氭枃绔� 寤f澅锛氱爺绌剁敓鍏ュ(xu茅)鑰冭│2003骞磋捣閲嶅ぇ瑾�(di脿o)鏁�
鏅€氭枃绔� 2004骞村叏鍦�(gu贸)鐮旀嫑涓�?锛熺礀^(q奴)鍫�(b脿o)鍚嶉粸(di菐n)涓€瑕借〃
瑾�(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 瀵у澶у(xu茅)04骞寸ⅸ澹爺绌剁敓瑾�(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 澶ч€i惖閬撳(xu茅)闄�04骞寸ⅸ澹帴鏀惰(di脿o)鍔戠敓婧愬熀鏈師鍓�
鏅€氭枃绔� 鍚夋灄澶у(xu茅)寤鸿ō(sh猫)宸ョ▼瀛�(xu茅)闄�04骞寸爺绌剁敓瑾�(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 婧窞甯寖瀛�(xu茅)闄�(婧窞澶у(xu茅)绫�)05鐮旂┒鐢熻(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 浣虫湪鏂ぇ瀛�(xu茅)04骞磋€冪爺瑾�(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 娌堥櫧(y谩ng)寤虹瓚宸ョ▼瀛�(xu茅)闄�04骞寸爺绌剁敓瑾�(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 澶╂触甯寖澶у(xu茅)鏀挎不鑸囪鏀垮(xu茅)闄�05骞寸ⅸ澹(di脿o)鍔戦渶姹�
鏅€氭枃绔� 绗簩蹇楁効鑰冪爺瑾�(di脿o)鍔戠▼搴忕瓟鐤�
鏅€氭枃绔� 涓婃捣澶у(xu茅)04骞寸爺绌剁敓鎷涙敹绲�(t菕ng)鑰冪敓瑾�(di脿o)鍔戜俊鎭�
鏅€氭枃绔� 寤hタ澶у(xu茅)04骞寸ⅸ澹爺绌剁敓瑾�(di脿o)鍔戜俊鎭�

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�锛涘潎鎻愪緵鏀惰不(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 

銆婃硾鍑藉垎鏋愩€嬫暀瀛�(xu茅)澶х侗
瑾茬▼绶ㄨ櫉(h脿o)锛�
绺藉(xu茅)鏅�(sh铆)锛�51
閬╃敤灏�(du矛)璞★細鏁�(sh霉)瀛�(xu茅)鑸囨噳(y墨ng)鐢ㄦ暩(sh霉)瀛�(xu茅)灏堟キ(y猫)鏈
鍏堜慨瑾茬▼锛氭暩(sh霉)瀛�(xu茅)鍒嗘瀽銆佸(sh铆)璁婂嚱鏁�(sh霉)
浣跨敤鏁欐潗锛氥€婂(sh铆)璁婂嚱鏁�(sh霉)鑸囨硾鍑藉垎鏋愬熀绀�(ch菙)銆嬬▼鍏惰銆佸嫉濂犲畽銆侀瓘鍦�(gu贸)
寮�(qi谩ng)銆侀柣闈╄垐銆侀將鑷挤(qi谩ng)锛堢法锛�锛�
楂樼瓑鏁欒偛鍑虹増绀�锛� 1983
鍙冭€冩浉(sh奴)锛� 銆婂(sh铆)璁婂嚱鏁�(sh霉)鑸囨硾鍑藉垎鏋愭瑕併€嬶紙涓嬶級鐜嬭伈鏈�銆侀劖缍锛�
楂樼瓑鏁欒偛鍑虹増绀�锛� 1996锛堢浜岀増锛�
銆婂(sh铆)璁婂嚱鏁�(sh霉)鑸囨硾鍑藉垎鏋愩€�(涓�)澶忛亾琛岀瓑锛�
楂樼瓑鏁欒偛鍑虹増绀�锛� 1985(绗簩鐗�)
鑰冩牳褰㈠紡锛氳€冩煡锛堥枆鍗凤級
鏁欏(xu茅)鐠�(hu谩n)澧冿細瑾插爞
涓€銆� 鏈绋嬬殑鏁欏(xu茅)鐩殑鑸囪姹�
銆婃硾鍑藉垎鏋愩€嬫槸 20 涓栫磤(j矛)闅ㄧ⿳鍒嗘柟绋嬨€佸井鍒嗘柟绋�銆侀噺瀛愬姏瀛�(xu茅)
绛夌櫦(f膩)灞曡捣渚�(l谩i)鐨勪竴闁€(m茅n)閲嶈鐨勬暩(sh霉)瀛�(xu茅)瀛�(xu茅)绉�銆傚畠缍滃悎閬�(y霉n)鐢ㄥ垎鏋�銆佷唬鏁�(sh霉)銆佸咕
浣曠殑瑙€榛�(di菐n)鍜屾柟娉曠爺绌跺垎鏋愭暩(sh霉)瀛�(xu茅)涓殑鍟�(w猫n)椤�锛屾墍浠ョ敱姝ょ敘(ch菐n)鐢熺殑姒傚康銆�
瀹氱悊鍜屾柟娉曞氨鏇村姞姒傛嫭锛屾洿鍔犳繁鍒�銆傚畠鏈夊姏鍦版帹鍕�(d貌ng)鍏跺畠鏁�(sh霉)瀛�(xu茅)鍒嗘敮
鐨勭櫦(f膩)灞�锛屼笖鍦ㄥ井鍒嗘柟绋嬨€佹鐜囪珫銆侀噺瀛愮悊璜�銆佺従(xi脿n)浠f帶鍒惰珫銆佸伐绋�
鎶€琛�(sh霉)涓湁寤f硾鐨勯亱(y霉n)鐢�銆�
閫氶亷(gu貌)鏈绋嬬殑瀛�(xu茅)缈�(x铆)锛屼娇瀛�(xu茅)鐢熷(xu茅)鏈�(hu矛)鎶借薄鍒嗘瀽鐨勬柟娉�锛岀啛绶存帉
鎻″悇绋┖闁撶殑绲�(ji茅)妲�(g貌u)鐞嗚珫銆佺畻瀛愮悊璜�銆丅anach 绌洪枔鐨勫熀鏈畾鐞嗗拰
绠楀瓙璀滆珫銆傚煿椁�(y菐ng)瀛�(xu茅)鐢熺殑鎬濈董鑳藉姏銆佸壍(chu脿ng)鏂拌兘鍔�銆佸垎鏋愬晱(w猫n)椤岃垏瑙f焙鍟�(w猫n)
椤岀殑鑳藉姏銆�
浜�銆� 瑾茬▼鐨勪富瑕佸収(n猫i)瀹�
鏈绋嬩富瑕佷粙绱� Banach 绌洪枔鐨勫熀鏈畾鐞�锛屽 Hahn-Banach
寤舵嫇瀹氱悊銆佷竴鑷存湁鐣屽師鐞�銆侀€嗙畻瀛愬畾鐞�銆侀枆鍦栬薄瀹氱悊銆佺窔鎬ч€g簩(x霉)
娉涘嚱鐨勮〃绀哄畾鐞嗙瓑锛汬ilbert 骞句綍瀛�(xu茅)锛涘害閲忕┖闁撶殑瀹屽倷鎬�銆佸彲鍒�
鎬с€侀€g簩(x霉)鏄犵収銆佸绺槧鐓х瓑銆�
涓夈€� 鏈绋嬬殑鍏�(n猫i)瀹瑰強瀛�(xu茅)鏅�(sh铆)鍒嗛厤
鏈绋嬬偤涓€瀛�(xu茅)鏈�锛屾瘡鍛� 3 瀛�(xu茅)鏅�(sh铆)銆�
绗叚绔� 搴﹂噺绌洪枔鍜岀窔鎬ц肠鑼冪┖闁擄紙15 瀛�(xu茅)鏅�(sh铆)锛�
1锛� 搴﹂噺绌洪枔鐨勯€�(j矛n)涓€姝ヤ緥瀛�
闆㈡暎搴﹂噺绌洪枔锛屽簭鍒楃┖闁�锛屾湁鐣屽嚱鏁�(sh霉)绌洪枔锛屽彲娓�(c猫)鍑芥暩(sh霉)绌�
闁�銆�
2锛� 搴﹂噺绌洪枔涓殑妤甸檺銆佺瀵嗛泦銆佸彲鍒嗙┖闁�
榛�(di菐n)鍒楁サ闄愶紝鏈夌晫闆�锛屽咕椤炲害閲忕┖闁撻粸(di菐n)鍒楁敹鏂傜殑鐗瑰緛锛岀
瀵嗛泦锛屽彲鍒嗙┖闁撱€�
3锛� 閫g簩(x霉)鏄犵収
鏄犵収鐨勯€g簩(x霉)鎬�锛岄€g簩(x霉)鏄犵収鐨勬€ц唱(zh矛)銆�
4锛� 鏌タ榛�(di菐n)鍒楀拰瀹屽倷搴﹂噺绌洪枔
鏌タ榛�(di菐n)鍒�锛屽畬鍌欏害閲忕┖闁撶殑鎬ц唱(zh矛)鍙婁緥瀛�銆�
5锛� 搴﹂噺绌洪枔鐨勫畬鍌欏寲
绛夎窛鍚屾(g貌u)锛屽害閲忕┖闁撶殑瀹屽倷鍖�銆�
6锛� 澹撶府鏄犵収鍙婂叾鎳�(y墨ng)鐢�
澹撶府鏄犵収鐨勬蹇�锛屽绺槧鐓у師鐞嗗強鎳�(y墨ng)鐢�銆�
7锛� 绶氭€х┖闁�
绶氭€х┖闁撶殑姒傚康鍙婁緥瀛�锛岀窔鎬х劇(w煤)闂�(gu膩n)闆�锛屾湁闄愮董鍜�
鐒�(w煤)闄愮董绶氭€х┖闁�銆�
8锛� 绶氭€ц肠鑼冪┖闁撳拰宸存嬁璧┖闁�
鑼冩暩(sh霉)鍏悊锛岀窔鎬ц肠鑼冪┖闁撶殑姒傚康鍙婁緥瀛�锛屾湁闄愮董绶氭€�
璩﹁寖绌洪枔鐨勬€ц唱(zh矛)銆�
瀛�(xu茅)缈�(x铆)鏈珷鎳�(y墨ng)鎺屾彙搴﹂噺绌洪枔鐨勫熀鏈蹇�锛屽咕椤炲害閲忕┖闁撻粸(di菐n)鍒楁敹
鏂傜殑鐗瑰緛锛岄€g簩(x霉)鏄犵収鐨勬€ц唱(zh矛)锛屽绺槧鐓у師鐞嗭紝鑼冩暩(sh霉)鍏悊锛岀稉(j墨ng)鍏歌肠
鑼冪窔鎬х┖闁�銆備簡瑙e害閲忕┖闁撶殑瀹屽倷鍖栫悊璜栧強鏈夐檺缍窔鎬ц肠鑼冪┖闁�
鐨勬€ц唱(zh矛)銆�
绗竷绔� 绶氭€ф湁鐣岀畻瀛愬拰绶氭€ч€g簩(x霉)娉涘嚱锛�6 瀛�(xu茅)鏅�(sh铆)锛�
1锛� 绶氭€ф湁鐣岀畻瀛愬拰绶氭€ч€g簩(x霉)娉涘嚱
绶氭€ф湁鐣岀畻瀛愮殑姒傚康鍙婃€ц唱(zh矛)锛岀畻瀛愯寖鏁�(sh霉)锛岀窔鎬ф湁鐣岀畻瀛�
鍜岀窔鎬ч€g簩(x霉)娉涘嚱鐨勪緥瀛愩€�
2锛� 绶氭€х畻瀛愮┖闁撳拰鍏辫粵绌洪枔
绶氭€ф湁鐣岀畻瀛愮┖闁�锛屽叡杌涚┖闁�锛岀瓑璺濇槧鐓э紝缍�(j墨ng)鍏哥窔鎬ц肠
鑼冪┖闁撶殑鍏辫粵绌洪枔銆�
3锛� 寤g京鍑芥暩(sh霉)澶ф剰
鍩烘湰绌洪枔锛屽唬缇╁嚱鏁�(sh霉)锛屽唬缇╁嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)銆�
瀛�(xu茅)缈�(x铆)鏈珷鎳�(y墨ng)鎺屾彙绶氭€ф湁鐣岀畻瀛愮殑姒傚康鍙婃€ц唱(zh矛)锛岀畻瀛愯寖鏁�(sh霉)锛�
鍏辫粵绌洪枔锛岀稉(j墨ng)鍏哥┖闁撶殑鍏辫粵绌洪枔銆備簡瑙e唬缇╁嚱鏁�(sh霉)鐨勬蹇�銆�
绗叓绔� 鍏�(n猫i)绌嶇┖闁撳拰甯岀埦浼壒锛圚ilbert锛夌┖闁擄紙12 瀛�(xu茅)鏅�(sh铆)锛�
1锛庡収(n猫i)绌嶇┖闁撶殑鍩烘湰姒傚康
鍏�(n猫i)绌嶇┖闁撶殑鍩烘湰姒傚康锛屽収(n猫i)绌嶇┖闁撶殑鎬ц唱(zh矛)鍜岀壒寰併€�
2锛庢姇褰卞畾鐞�
瀹屽倷鍑稿瓙闆�锛屾サ灏忓寲鍚戦噺瀹氱悊锛岀洿浜ゆ€э紝鐩翠氦瑁�(b菙)锛屾姇
褰卞畾鐞嗐€�
3锛庡笇鐖句集鐗圭┖闁撲腑鐨勫氨鑼冪洿浜ょ郴
灏辫寖鐩翠氦绯�锛屽畬鍏ㄥ氨鑼冪洿浜ょ郴锛孒ilbert 绌洪枔涓殑灏�
鑼冪洿浜ょ郴鐨勭壒寰�锛孲chmidt 鐩翠氦鍖栨硶锛孒ilbert 绌洪枔鐨�
鍚屾(g貌u)鐞嗚珫銆�
4锛庡笇鐖句集鐗圭┖闁撲笂鐨勭窔鎬ч€g簩(x霉)娉涘嚱
Riesz 瀹氱悊锛孒ilbert 鍏辫粵绠楀瓙銆�
5锛庤嚜浼寸畻瀛�銆侀厜绠楀瓙鍜屾甯哥畻瀛�
鑷即绠楀瓙銆侀厜绠楀瓙鍜屾甯哥畻瀛愮殑姒傚康鍙婃€ц唱(zh矛)銆�
瀛�(xu茅)缈�(x铆)鏈珷鎳�(y墨ng)鎺屾彙鍏�(n猫i)绌嶇┖闁撶殑姒傚康鍙婃€ц唱(zh矛)锛岀洿浜ゆ€�锛屾姇褰�
瀹氱悊锛屽氨鑼冪洿浜ょ郴锛孯iesz 瀹氱悊锛岃嚜浼寸畻瀛�銆侀厜绠楀瓙鍜屾甯哥畻
瀛愮殑姒傚康銆備簡瑙� Schmidt 鐩翠氦鍖栨硶锛岃嚜浼寸畻瀛�銆侀厜绠楀瓙鍜屾
甯哥畻瀛愮殑鎬ц唱(zh矛)銆�
绗節绔� 宸存嬁璧┖闁撲腑鐨勫熀鏈畾鐞嗭紙9 瀛�(xu茅)鏅�(sh铆)锛�
1锛� 娉涘嚱寤舵嫇瀹氱悊
娆$窔鎬ф硾鍑�锛孒ahn-Banach 寤舵嫇瀹氱悊銆�
2锛嶤[a,b]鐨勫叡杌涚┖闁�
Riesz 琛ㄧず瀹氱悊锛屾瑕�(gu墨)鍖栧浛璁婂嚱鏁�(sh霉)绌洪枔銆�
3. 鍏辫粵绠楀瓙
鍏辫粵绠楀瓙鐨勬蹇靛強鎬ц唱(zh矛)銆�
4. 缍卞畾鐞嗗拰涓€鑷存湁鐣屾€у畾鐞�
鐤忔湕闆�,绗竴銆佷簩缍遍泦锛孊aire 缍卞畾鐞�锛屼竴鑷存湁鐣屾€у畾
鐞嗗強鍏舵噳(y墨ng)鐢�銆�
5锛庡挤(qi谩ng)鏀舵杺銆佸急鏀舵杺鍜屼竴鑷存敹鏂�
绶氭€ф湁鐣岀畻瀛愬簭鍒楃殑涓€鑷存敹鏂�銆佸挤(qi谩ng)鏀舵杺鍜屽急鏀舵杺鐨�
姒傚康鍙婁緥瀛愶紝绠楀瓙寮�(qi谩ng)鏀舵杺鐨勭壒寰�锛岄粸(di菐n)鍒楀挤(qi谩ng)鏀舵杺鍜屽急鏀�
鏂傘€�
6锛庨€嗙畻瀛愬畾鐞�
闁�(k膩i)鏄犵収锛岄€嗙畻瀛愬畾鐞�銆�
7锛庨枆鍦栬薄瀹氱悊
闁夌畻瀛�锛岄枆鍦栬薄瀹氱悊銆�
瀛�(xu茅)缈�(x铆)鏈珷鎳�(y墨ng)鎺屾彙 Hahn-Banach 寤舵嫇瀹氱悊锛屼竴鑷存湁鐣屾€у畾
鐞�锛岄€嗙畻瀛愬畾鐞嗗拰闁夊湒璞″畾鐞嗭紝绠楀瓙搴忓垪鍙婇粸(di菐n)鍒楃殑鍚勭ó鏀�
鏂�銆備簡瑙� C[a,b]绌洪枔绶氭€ч€g簩(x霉)娉涘嚱鐨� Riesz 琛ㄧず瀹氱悊銆�
绗崄绔� 绶氭€ф湁鐣岀畻瀛愮殑璀滐紙9 瀛�(xu茅)鏅�(sh铆)锛�
1锛庤瓬鐨勬蹇�
姝e墖绠楀瓙锛屽悇绋瓬鐨勫畾缇�銆�
2锛� 绶氭€х畻瀛愯瓬鐨勫熀鏈€ц唱(zh矛)
绶氭€ф湁鐣岀畻瀛愯瓬闆嗙殑闁夋€у強鏈夌晫鎬�銆�
3锛� 绶婄畻瀛愬拰鍏ㄩ€g簩(x霉)绠楀瓙
绶婇泦鍜岀浉灏�(du矛)绶婇泦锛岀穵绠楀瓙鎴栧叏閫g簩(x霉)绠楀瓙鐨勬€ц唱(zh矛)鍙婁緥
瀛�銆�
4锛� 鑷即鍏ㄩ€g簩(x霉)绠楀瓙鐨勮瓬璜�
鑷即鍏ㄩ€g簩(x霉)绠楀瓙璀滅殑鎬ц唱(zh矛)銆�
瀛�(xu茅)缈�(x铆)鏈珷鎳�(y墨ng)鎺屾彙鍚勭ó璀滅殑瀹氱京锛屾湁鐣岀窔鎬х畻瀛愯瓬鐨勬湁鐣岄枆
鎬э紝鍏ㄩ€g簩(x霉)绠楀瓙鐨勬蹇靛強鎬ц唱(zh矛)銆備簡瑙h嚜浼村叏閫g簩(x霉)绠楀瓙璀滅悊璜栥€�
鍥�銆� 鏁欏(xu茅)閲嶉粸(di菐n)鑸囬洠榛�(di菐n)
1锛庨噸榛�(di菐n)锛� 搴﹂噺绌洪枔銆佺窔鎬ц肠鑼冪┖闁撱€佸収(n猫i)绌嶇┖闁�銆佺畻瀛愮┖闁�銆�
鍏辫粵绌洪枔绛夊悇椤炵┖闁撶殑绲�(ji茅)妲�(g貌u)鐞嗚珫锛屽悇绋敹鏂傛€�锛岀畻
瀛愮悊璜栵紝绶氭€ч€g簩(x霉)娉涘嚱鐨勮〃绀哄畾鐞�锛屽反鎷胯但绌洪枔涓�
鐨勫熀鏈畾鐞�銆�
2锛庨洠榛�(di菐n)锛� 瀹屽倷鎬ц垏缍卞畾鐞嗭紝Hahn-Banach 寤舵嫇瀹氱悊锛岄€嗙畻
瀛愬畾鐞�锛屼竴鑷存湁鐣屾€у畾鐞�锛岀窔鎬ч€g簩(x霉)娉涘嚱鐨勮〃绀哄畾
鐞嗭紝鑷即鍏ㄩ€g簩(x霉)绠楀瓙鐨勮瓬鐞嗚珫銆�

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(q菒ng)鑱�(li谩n)绯绘垜鍊戠珛鍗冲埅闄わ紝鍙︼細鏈枃鍍呬唬琛ㄤ綔鑰呭€�(g猫)浜鸿榛�(di菐n)锛岃垏鏈恫(w菐ng)绔欑劇(w煤)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(du矛)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€с€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(q菒ng)璁€鑰呭儏浣滃弮鑰�锛屽苟璜�(q菒ng)鑷鏍稿(sh铆)鐩搁棞(gu膩n)鍏�(n猫i)瀹�銆�

  • 涓婁竴绡囨枃绔狅細

  • 涓嬩竴绡囨枃绔狅細
  • 鑰冨崥鍜ㄨQQ 3455265070 榛�(di菐n)鎿婇€欓噷绲︽垜鐧�(f膩)娑堟伅 鑰冪爺鍜ㄨ QQ 3455265070 榛�(di菐n)鎿婇€欓噷绲︽垜鐧�(f膩)娑堟伅 閮电锛� 3455265070@qq.com
    鍏徃鍚嶇ū:鏄嗗北鍓�(chu脿ng)閰蜂俊鎭鎶€鏈夐檺鍏徃 鐗堟瑠(qu谩n)鎵€鏈�
    鑰冪爺绉樼睄缍�(w菐ng) 鐗堟瑠(qu谩n)鎵€鏈� © kaoyanmiji.com All Rights Reserved
    鑱叉槑锛氭湰缍�(w菐ng)绔欏皧閲嶅苟淇濊(h霉)鐭ヨ瓨(sh铆)鐢�(ch菐n)娆�(qu谩n)锛屾牴鎿�(j霉)銆婁俊鎭恫(w菐ng)绲�(lu貌)鍌虫挱娆�(qu谩n)淇濊(h霉)姊濅緥銆嬶紝濡傛灉鎴戝€戣綁(zhu菐n)杓夋垨寮曠敤鐨勪綔鍝佷镜鐘簡鎮ㄧ殑娆�(qu谩n)鍒�锛岃珛(q菒ng)閫氱煡鎴戝€�锛屾垜鍊戞渻(hu矛)鍙婃檪(sh铆)鍒櫎锛�