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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�锛岄儴鍒嗗(xu茅)鏍℃洿鏂拌嚦2012骞达紝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
瀵ф尝澶у(xu茅)纰╁＋鐮旂┒鐢熷叆瀛�(xu茅)鑰冭│
銆婅静(n贸ng)瀛�(xu茅)鍩虹(ch菙)鏁�(sh霉)瀛�(xu茅)銆嬭€冭│澶х侗
涓€銆佽€冭│鍏�(n猫i)瀹瑰強瑕佹眰
鑰冭│绉戠洰鍖呮嫭銆婂井绌嶅垎銆嬨€併€婄窔(xi脿n)鎬т唬鏁�(sh霉)銆嬪拰銆婃鐜囪珫鑸囨暩(sh霉)鐞嗙当(t菕ng)瑷�(j矛)銆嬶紟
寰� 绌� 鍒�
1) 鍑芥暩(sh霉)銆佹サ闄愩€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 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) 鍑芥暩(sh霉)鐨勫乏妤甸檺鍜屽彸妤甸檺 鐒�(w煤)绐皬閲忓拰鐒�(w煤)绐ぇ閲�
鐨勬蹇靛強鍏堕棞(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 妤甸檺鐨勫洓鍓囬亱(y霉n)绠� 妤甸檺瀛樺湪鐨勫叐鍊�(g猫)
婧�(zh菙n)鍓囷細?ji菐n)鎻(di脿o)鏈夌晫婧�(zh菙n)鍓囧拰澶鹃€兼簴(zh菙n)鍓� 鍏╁€�(g猫)閲嶈妤甸檺锛�
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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� 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)
鑰冭│瑕佹眰
1. 鐞嗚В鍑芥暩(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)椤屼腑鐨勫嚱鏁�(sh霉)闂�(gu膩n)绯伙紟
2. 浜嗚В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э紟
3. 鐞嗚В寰�(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
4. 鎺屾彙鍩烘湰鍒濈瓑鍑芥暩(sh霉)鐨勬€ц唱(zh矛)鍙婂叾鍦栧舰锛屼簡瑙ｅ垵绛夊嚱鏁�(sh霉)鐨勬蹇碉紟
5. 浜嗚В鏁�(sh霉)鍒楁サ闄愬拰鍑芥暩(sh霉)妤甸檺锛堝寘鎷乏妤甸檺鍜屽彸妤甸檺锛夌殑姒傚康锛�
6. 浜嗚В妤甸檺鐨勬€ц唱(zh矛)鑸囨サ闄愬瓨鍦ㄧ殑鍏╁€�(g猫)婧�(zh菙n)鍓囷紝鎺屾彙妤甸檺鍥涘墖閬�(y霉n)绠楁硶鍓�锛屾帉鎻″埄鐢ㄥ叐鍊�(g猫)閲�
瑕佹サ闄愭眰妤甸檺鐨勬柟娉曪紟
7. 鐞嗚В鐒�(w煤)绐皬閲忕殑姒傚康鍜屽熀鏈€ц唱(zh矛)锛屾帉鎻＄劇(w煤)绐皬閲忕殑姣旇純鏂规硶锛屼簡瑙ｇ劇(w煤)绐ぇ閲忕殑姒傚康
鍙婂叾鑸囩劇(w煤)绐皬閲忕殑闂�(gu膩n)绯伙紟
8. 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
9. 浜嗚В閫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€�銆�
鏈€澶у€煎拰鏈€灏忓€煎畾鐞嗐€佷粙鍊煎畾鐞嗭級锛屽苟鏈�(hu矛)鎳�(y墨ng)鐢ㄩ€欎簺鎬ц唱(zh矛)锛�
2) 涓€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)鍜屽井鍒嗙殑姒傚康 灏�(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇� 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� 骞抽潰鏇茬窔(xi脿n)
鐨勫垏绶�(xi脿n)鍜屾硶绶�(xi脿n) 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)鍜岄毐鍑芥暩(sh霉)鐨勫井鍒�
娉� 楂橀殠灏�(d菐o)鏁�(sh霉) 寰垎涓€煎畾鐞� 娲涘繀閬�(d谩)(L鈥橦ospital)娉曞墖 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)鍦栧舰鐨勫嚬鍑告€�銆佹嫄榛�(di菐n)鍙婃几杩戠窔(xi脿n) 鍑芥暩(sh霉)鐨勬渶澶у€艰垏鏈€灏忓€�
鑰冭│瑕佹眰
1锛庣悊瑙ｅ皫(d菐o)鏁�(sh霉)鐨勬蹇靛強鍙皫(d菐o)鎬ц垏閫ｇ簩(x霉)鎬т箣闁撶殑闂�(gu膩n)绯�锛屼簡瑙ｅ皫(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�(xi脿n)鐨勫垏绶�(xi脿n)鏂圭▼鍜屾硶绶�(xi脿n)鏂圭▼锛�
2锛庢帉鎻″熀鏈垵绛夊嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)鍏紡銆佸皫(d菐o)鏁�(sh霉)鐨勫洓鍓囬亱(y霉n)绠楁硶鍓囧強寰�(f霉)鍚堝嚱鏁�(sh霉)鐨勬眰灏�(d菐o)娉曞墖锛屾渻(hu矛)姹�
闅卞嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛�
3锛庝簡瑙ｉ珮闅庡皫(d菐o)鏁�(sh霉)鐨勬蹇�锛屾帉鎻′簩闅庡皫(d菐o)鏁�(sh霉)鐨勬眰娉曪紟
4锛庝簡瑙ｅ井鍒嗙殑姒傚康浠ュ強灏�(d菐o)鏁�(sh霉)鑸囧井鍒嗕箣闁撶殑闂�(gu膩n)绯�锛屾渻(hu矛)姹傚嚱鏁�(sh霉)鐨勫井鍒嗭紟
5锛庣悊瑙ｇ緟鐖撅紙Rolle锛夊畾鐞嗗拰鎷夋牸鏈楁棩锛圠agrange锛変腑鍊煎畾鐞嗭紝鎺屾彙閫欏叐鍊�(g猫)瀹氱悊鐨勭啊(ji菐n)鍠�
鎳�(y墨ng)鐢紟
6锛庢渻(hu矛)鐢ㄦ礇蹇呴仈(d谩)娉曞墖姹傛サ闄愶紟
7锛庢帉鎻″嚱鏁�(sh霉)鍠(di脿o)鎬х殑鍒ゅ垾鏂规硶锛屼簡瑙ｅ嚱鏁�(sh霉)妤靛€肩殑姒傚康锛屾帉鎻″嚱鏁�(sh霉)妤靛€�銆佹渶澶у€煎拰鏈€灏�
鍊肩殑姹傛硶鍙婃噳(y墨ng)鐢紟
8锛庢渻(hu矛)鐢ㄥ皫(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(hu矛)姹傚嚱鏁�(sh霉)鍦栧舰鐨勬嫄榛�(di菐n)鍜屾几杩戠窔(xi脿n)锛堟按骞�銆侀墰鐩存几杩�
绶�(xi脿n)锛夛紟
3) 涓€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) 瀹氱⿳鍒嗕腑鍊煎畾鐞� 绌嶅垎涓婇檺鐨勫嚱鏁�(sh霉)鑸囧叾灏�(d菐o)鏁�(sh霉) 鐗涢爴-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⿳鍒嗘柟娉曡垏鍒嗛儴绌嶅垎娉� 鍙嶅父锛堝唬缇╋級绌嶅垎 瀹氱⿳鍒嗙殑鎳�(y墨ng)鐢�
鑰冭│瑕佹眰
1锛庣悊瑙ｅ師鍑芥暩(sh霉)鑸囦笉瀹氱⿳鍒嗙殑姒傚康锛屾帉鎻′笉瀹氱⿳鍒嗙殑鍩烘湰鎬ц唱(zh矛)鍜屽熀鏈⿳鍒嗗叕寮�锛屾帉鎻′笉
瀹氱⿳鍒嗙殑鎻涘厓绌嶅垎娉曞拰鍒嗛儴绌嶅垎娉曪紟
2锛庝簡瑙ｅ畾绌嶅垎鐨勬蹇靛拰鍩烘湰鎬ц唱(zh矛)锛屼簡瑙ｅ畾绌嶅垎涓€煎畾鐞�锛岀悊瑙ｇ⿳鍒嗕笂闄愮殑鍑芥暩(sh霉)骞舵渻(hu矛)姹�
瀹冪殑灏�(d菐o)鏁�(sh霉)锛屾帉鎻＄墰闋�-钀婂竷灏艰尐鍏紡浠ュ強瀹氱⿳鍒嗙殑鎻涘厓绌嶅垎娉曡垏鍒嗛儴绌嶅垎娉曪紟
3锛庢渻(hu矛)鍒╃敤瀹氱⿳鍒嗚▓(j矛)绠楀钩闈㈠湒褰㈢殑闈㈢⿳鍜屾棆杞�(zhu菐n)楂旂殑楂旂⿳锛�
4锛庝簡瑙ｇ劇(w煤)绐崁(q奴)闁撲笂鐨勫弽甯哥⿳鍒嗙殑姒傚康锛屾渻(hu矛)瑷�(j矛)绠楃劇(w煤)绐崁(q奴)闁撲笂鐨勫弽甯哥⿳鍒嗭紟
4) 澶氬厓鍑芥暩(sh霉)寰⿳鍒嗗(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� 澶氬厓鍑芥暩(sh霉)鍋�
灏�(d菐o)鏁�(sh霉)鐨勬蹇佃垏瑷�(j矛)绠� 澶氬厓寰�(f霉)鍚堝嚱鏁�(sh霉)鐨勬眰灏�(d菐o)娉曡垏闅卞嚱鏁�(sh霉)姹傚皫(d菐o)娉� 浜岄殠鍋忓皫(d菐o)鏁�(sh霉) 鍏ㄥ井鍒� 澶氬厓
鍑芥暩(sh霉)鐨勬サ鍊煎拰姊濅欢妤靛€� 浜岄噸绌嶅垎鐨勬蹇�銆佸熀鏈€ц唱(zh矛)鍜岃▓(j矛)绠�
鑰冭│瑕佹眰
1锛庝簡瑙ｅ鍏冨嚱鏁�(sh霉)鐨勬蹇�锛屼簡瑙ｄ簩鍏冨嚱鏁�(sh霉)鐨勫咕浣曟剰缇╋紟
2锛庝簡瑙ｄ簩鍏冨嚱鏁�(sh霉)鐨勬サ闄愯垏閫ｇ簩(x霉)鐨勬蹇碉紟
3锛庝簡瑙ｅ鍏冨嚱鏁�(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鑸囧叏寰垎鐨勬蹇�锛屾渻(hu矛)姹傚鍏冨京(f霉)鍚堝嚱鏁�(sh霉)涓€闅�銆佷簩闅庡亸灏�(d菐o)鏁�(sh霉)锛屾渻(hu矛)姹�
鍏ㄥ井鍒�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)锛�
4锛庝簡瑙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�
5锛庝簡瑙ｄ簩閲嶇⿳鍒嗙殑姒傚康鑸囧熀鏈€ц唱(zh矛)锛屾渻(hu矛)鐢ㄧ洿瑙掑潗妯�(bi膩o)绯昏▓(j矛)绠椾簩閲嶇⿳鍒嗭紟
5) 甯稿井鍒嗘柟绋�
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▼ 涓€闅庣窔(xi脿n)鎬у井鍒嗘柟绋�
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绛夋蹇碉紟
2锛庢帉鎻¤畩閲忓彲鍒嗛洟鐨勫井鍒嗘柟绋嬪拰涓€闅庣窔(xi脿n)鎬у井鍒嗘柟绋嬬殑姹傝В鏂规硶锛�
绶�(xi脿n) 鎬� 浠� 鏁�(sh霉)
1) 琛屽垪寮�
鑰冭│鍏�(n猫i)瀹�
琛屽垪寮忕殑姒傚康鍜屽熀鏈€ц唱(zh矛) 琛屽垪寮忔寜琛岋紙鍒楋級灞曢枊(k膩i)瀹氱悊
鑰冭│瑕佹眰
1锛庝簡瑙ｈ鍒楀紡鐨勬蹇碉紝鎺屾彙琛屽垪寮忕殑鎬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�
2) 鐭╅櫍
鑰冭│鍏�(n猫i)瀹�
鐭╅櫍鐨勬蹇� 鐭╅櫍鐨勭窔(xi脿n)鎬ч亱(y霉n)绠� 鐭╅櫍鐨勪箻娉� 鏂归櫍鐨勫啰 鏂归櫍涔樼⿳鐨勮鍒楀紡 鐭╅櫍鐨�
杞�(zhu菐n)缃� 閫嗙煩闄ｇ殑姒傚康鍜屾€ц唱(zh矛) 鐭╅櫍鍙€嗙殑鍏呭垎蹇呰姊濅欢 浼撮毃鐭╅櫍 鐭╅櫍鐨勫垵绛夎畩鎻� 鍒�
绛夌煩闄� 鐭╅櫍鐨勭З 鐭╅櫍鐨勭瓑鍍�(ji脿)
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€佸皪(du矛)瑙掔煩闄�銆佷笁瑙掔煩闄ｇ殑瀹氱京鍙婃€ц唱(zh矛)锛屼簡瑙ｅ皪(du矛)绋�(ch膿ng)鐭�
闄ｃ€佸弽灏�(du矛)绋�(ch膿ng)鐭╅櫍鍙婃浜ょ煩闄ｇ瓑鐨勫畾缇╁拰鎬ц唱(zh矛)锛�
2锛庢帉鎻＄煩闄ｇ殑绶�(xi脿n)鎬ч亱(y霉n)绠�銆佷箻娉曘€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)锛�
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)浠ュ強鐭╅櫍鍙€嗙殑鍏呭垎蹇呰姊濅欢锛屼簡瑙ｄ即闅ㄧ煩
闄ｇ殑姒傚康锛屾渻(hu矛)鐢ㄤ即闅ㄧ煩闄ｆ眰閫嗙煩闄ｏ紟
4锛庝簡瑙ｇ煩闄ｇ殑鍒濈瓑璁婃彌鍜屽垵绛夌煩闄ｅ強鐭╅櫍绛夊児(ji脿)鐨勬蹇碉紝鐞嗚В鐭╅櫍鐨勭З鐨勬蹇�锛屾帉鎻＄敤
鍒濈瓑璁婃彌姹傜煩闄ｇ殑閫嗙煩闄ｅ拰绉╃殑鏂规硶锛�
3) 鍚戦噺
鑰冭│鍏�(n猫i)瀹�
鍚戦噺鐨勬蹇� 鍚戦噺鐨勭窔(xi脿n)鎬х祫鍚堣垏绶�(xi脿n)鎬ц〃绀� 鍚戦噺绲勭殑绶�(xi脿n)鎬х浉闂�(gu膩n)鑸囩窔(xi脿n)鎬х劇(w煤)闂�(gu膩n) 鍚戦噺绲勭殑
妤靛ぇ绶�(xi脿n)鎬х劇(w煤)闂�(gu膩n)绲� 绛夊児(ji脿)鍚戦噺绲� 鍚戦噺绲勭殑绉� 鍚戦噺绲勭殑绉╄垏鐭╅櫍鐨勭З涔嬮枔鐨勯棞(gu膩n)绯�
鑰冭│瑕佹眰
1锛庝簡瑙ｅ悜閲忕殑姒傚康锛屾帉鎻″悜閲忕殑鍔犳硶鍜屾暩(sh霉)涔橀亱(y霉n)绠楁硶鍓囷紟
2锛庣悊瑙ｅ悜閲忕殑绶�(xi脿n)鎬х祫鍚堣垏绶�(xi脿n)鎬ц〃绀�銆佸悜閲忕祫绶�(xi脿n)鎬х浉闂�(gu膩n)銆佺窔(xi脿n)鎬х劇(w煤)闂�(gu膩n)绛夋蹇�锛屾帉鎻″悜閲忕祫
绶�(xi脿n)鎬х浉闂�(gu膩n)銆佺窔(xi脿n)鎬х劇(w煤)闂�(gu膩n)鐨勬湁闂�(gu膩n)鎬ц唱(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(xi脿n)鎬х劇(w煤)闂�(gu膩n)绲勫拰绉╃殑姒傚康锛屾渻(hu矛)姹傚悜閲忕祫鐨勬サ澶х窔(xi脿n)鎬х劇(w煤)闂�(gu膩n)绲勫強绉╋紟
4锛庝簡瑙ｅ悜閲忕祫绛夊児(ji脿)鐨勬蹇�锛屼簡瑙ｇ煩闄ｇ殑绉╄垏鍏惰锛堝垪锛夊悜閲忕祫鐨勭З涔嬮枔鐨勯棞(gu膩n)绯伙紟
4) 绶�(xi脿n)鎬ф柟绋嬬祫
鑰冭│鍏�(n猫i)瀹�
绶�(xi脿n)鎬ф柟绋嬬祫鐨勫厠钀婂锛圕ramer锛夋硶鍓� 绶�(xi脿n)鎬ф柟绋嬬祫鏈夎В鍜岀劇(w煤)瑙ｇ殑鍒ゅ畾 榻婃绶�(xi脿n)鎬ф柟绋嬬祫
鐨勫熀绀�(ch菙)瑙ｇ郴鍜岄€氳В 闈為綂娆＄窔(xi脿n)鎬ф柟绋嬬祫鐨勮В鑸囩浉鎳�(y墨ng)鐨勯綂娆＄窔(xi脿n)鎬ф柟绋嬬祫鐨勮В涔嬮枔鐨勯棞(gu膩n)绯� 闈�
榻婃绶�(xi脿n)鎬ф柟绋嬬祫鐨勯€氳В
鑰冭│瑕佹眰
1锛庢渻(hu矛)鐢ㄥ厠钀婂娉曞墖瑙ｇ窔(xi脿n)鎬ф柟绋嬬祫锛�
2锛庢帉鎻￠潪榻婃绶�(xi脿n)鎬ф柟绋嬬祫鏈夎В鍜岀劇(w煤)瑙ｇ殑鍒ゅ畾鏂规硶锛�
3锛庣悊瑙ｉ綂娆＄窔(xi脿n)鎬ф柟绋嬬祫鐨勫熀绀�(ch菙)瑙ｇ郴鐨勬蹇碉紝鎺屾彙榻婃绶�(xi脿n)鎬ф柟绋嬬祫鐨勫熀绀�(ch菙)瑙ｇ郴鍜岄€氳В鐨�
姹傛硶锛�
4锛庝簡瑙ｉ潪榻婃绶�(xi脿n)鎬ф柟绋嬬祫鐨勭祼(ji茅)妲�(g貌u)鍙婇€氳В鐨勬蹇碉紟
5锛庢帉鎻＄敤鍒濈瓑琛岃畩鎻涙眰瑙ｇ窔(xi脿n)鎬ф柟绋嬬祫鐨勬柟娉曪紟
5) 鐭╅櫍鐨勭壒寰佸€煎拰鐗瑰緛鍚戦噺
鑰冭│鍏�(n猫i)瀹�
鐭╅櫍鐨勭壒寰佸€煎拰鐗瑰緛鍚戦噺鐨勬蹇�銆佹€ц唱(zh矛) 鐩镐技鐭╅櫍鐨勬蹇靛強鎬ц唱(zh矛) 鐭╅櫍鍙浉浼煎皪(du矛)瑙掑寲鐨�
鍏呭垎蹇呰姊濅欢鍙婄浉浼煎皪(du矛)瑙掔煩闄� 瀵�(sh铆)灏�(du矛)绋�(ch膿ng)鐭╅櫍鐨勭壒寰佸€�銆佺壒寰佸悜閲忓強鍏剁浉浼煎皪(du矛)瑙掔煩闄�
鑰冭│瑕佹眰
1锛庣悊瑙ｇ煩闄ｇ殑鐗瑰緛鍊�銆佺壒寰佸悜閲忕殑姒傚康锛屾帉鎻＄煩闄ｇ壒寰佸€肩殑鎬ц唱(zh矛)锛屾帉鎻℃眰鐭╅櫍鐗瑰緛鍊�
鍜岀壒寰佸悜閲忕殑鏂规硶锛�
2锛庝簡瑙ｇ煩闄ｇ浉浼肩殑姒傚康鍜岀浉浼肩煩闄ｇ殑鎬ц唱(zh矛)锛屼簡瑙ｇ煩闄ｅ彲鐩镐技灏�(du矛)瑙掑寲鐨勫厖鍒嗗繀瑕佹浠�锛�
鏈�(hu矛)灏囩煩闄ｅ寲鐐虹浉浼煎皪(du矛)瑙掔煩闄ｏ紟
3锛庝簡瑙ｅ(sh铆)灏�(du矛)绋�(ch膿ng)鐭╅櫍鐨勭壒寰佸€煎拰鐗瑰緛鍚戦噺鐨勬€ц唱(zh矛)锛�
姒傜巼璜栬垏鏁�(sh霉)鐞嗙当(t菕ng)瑷�(j矛)
1) 闅ㄦ(j墨)浜嬩欢鍜屾鐜�
鑰冭│鍏�(n猫i)瀹�
闅ㄦ(j墨)浜嬩欢鑸囨ǎ鏈┖闁� 浜嬩欢鐨勯棞(gu膩n)绯昏垏閬�(y霉n)绠� 姒傜巼鐨勫熀鏈€ц唱(zh矛) 鍙ゅ吀鍨嬫鐜� 姊濅欢姒傜巼 姒傜巼
鐨勫熀鏈叕寮� 浜嬩欢鐨勭崹(d煤)绔嬫€� 鐛�(d煤)绔嬮噸寰�(f霉)瑭﹂(y脿n)
鑰冭│瑕佹眰
1锛庝簡瑙ｆǎ鏈┖闁撶殑姒傚康锛岀悊瑙ｉ毃姗�(j墨)浜嬩欢鐨勬蹇�锛屾帉鎻′簨浠剁殑闂�(gu膩n)绯昏垏閬�(y霉n)绠楋紟
2锛庣悊瑙ｆ鐜囥€佹浠舵鐜囩殑姒傚康锛屾帉鎻℃鐜囩殑鍩烘湰鎬ц唱(zh矛)锛屾渻(hu矛)瑷�(j矛)绠楀彜鍏稿瀷姒傜巼锛屾帉鎻℃鐜�
鐨勫姞娉曞叕寮�銆佹笡娉曞叕寮忋€佷箻娉曞叕寮�銆佸叏姒傜巼鍏紡浠ュ強璨濊憠鏂�(Bayes)鍏紡锛�
3锛庣悊瑙ｄ簨浠剁殑鐛�(d煤)绔嬫€х殑姒傚康锛屾帉鎻＄敤浜嬩欢鐛�(d煤)绔嬫€ч€�(j矛n)琛屾鐜囪▓(j矛)绠楋紱鐞嗚В鐛�(d煤)绔嬮噸寰�(f霉)瑭﹂(y脿n)鐨�
姒傚康锛屾帉鎻¤▓(j矛)绠楁湁闂�(gu膩n)浜嬩欢姒傜巼鐨勬柟娉曪紟
2) 闅ㄦ(j墨)璁婇噺鍙婂叾鍒嗗竷
鑰冭│鍏�(n猫i)瀹�
闅ㄦ(j墨)璁婇噺 闅ㄦ(j墨)璁婇噺鍒嗗竷鍑芥暩(sh霉)鐨勬蹇靛強鍏舵€ц唱(zh矛) 闆㈡暎鍨嬮毃姗�(j墨)璁婇噺鐨勬鐜囧垎甯� 閫ｇ簩(x霉)鍨嬮毃姗�(j墨)
璁婇噺鐨勬鐜囧瘑搴� 甯歌(ji脿n)闅ㄦ(j墨)璁婇噺鐨勫垎甯� 闅ㄦ(j墨)璁婇噺鍑芥暩(sh霉)鐨勫垎甯�
鑰冭│瑕佹眰
1锛庣悊瑙ｉ毃姗�(j墨)璁婇噺鐨勬蹇碉紟鐞嗚В鍒嗗竷鍑芥暩(sh霉)
( ) { } ( )F x P X x x? ? ??? ?? ? ? ?
鐨勬蹇靛強鎬ц唱(zh矛)锛庢渻(hu矛)瑷�(j矛)绠楄垏闅ㄦ(j墨)璁婇噺鐩歌伅(li谩n)绯荤殑浜嬩欢鐨勬鐜囷紟
2锛庣悊瑙ｉ洟鏁ｅ瀷闅ㄦ(j墨)璁婇噺鍙婂叾姒傜巼鍒嗗竷鐨勬蹇�锛屾帉鎻� 0锛�1 鍒嗗竷銆佷簩闋�(xi脿ng)鍒嗗竷 ( , )B n p 銆佹硦
鏉撅紙Poisson锛夊垎甯� ( )P ? 鍙婂叾鎳�(y墨ng)鐢紟
3锛庣悊瑙ｉ€ｇ簩(x霉)鍨嬮毃姗�(j墨)璁婇噺鍙婂叾姒傜巼瀵嗗害鐨勬蹇�锛屾帉鎻″潎鍕诲垎甯� ( , )U a b 銆佹鎱�(t脿i)鍒嗗竷
2
( , )N ? ? 銆佹寚鏁�(sh霉)鍒嗗竷鍙婂叾鎳�(y墨ng)鐢�锛屽叾涓弮鏁�(sh霉)鐐� ( 0)? ? ? 鐨勬寚鏁�(sh霉)鍒嗗竷 ( )E ? 鐨勬鐜囧瘑搴︾偤
0
( )
0
x
e x
f x
x
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, 鑻�
0, 鑻�
4锛庢渻(hu矛)姹傞毃姗�(j墨)璁婇噺绨�(ji菐n)鍠嚱鏁�(sh霉)鐨勫垎甯冿紟
3) 浜岀董闅ㄦ(j墨)璁婇噺鍙婂叾鍒嗗竷
鑰冭│鍏�(n猫i)瀹�
浜岀董闅ㄦ(j墨)璁婇噺鍙婂叾鍒嗗竷 浜岀董闆㈡暎鍨嬮毃姗�(j墨)璁婇噺鐨勬鐜囧垎甯冨拰閭婄罚鍒嗗竷 浜岀董閫ｇ簩(x霉)鍨嬮毃
姗�(j墨)璁婇噺鐨勬鐜囧瘑搴﹀拰閭婄罚姒傜巼瀵嗗害 闅ㄦ(j墨)璁婇噺鐨勭崹(d煤)绔嬫€у拰涓嶇浉闂�(gu膩n)鎬� 甯哥敤浜岀董闅ㄦ(j墨)璁婇噺鐨�
鍒嗗竷 鍏╁€�(g猫)闅ㄦ(j墨)璁婇噺绨�(ji菐n)鍠嚱鏁�(sh霉)鐨勫垎甯�
鑰冭│瑕佹眰
1锛庣悊瑙ｄ簩缍毃姗�(j墨)璁婇噺鐨勬蹇碉紝鐞嗚В浜岀董闅ㄦ(j墨)璁婇噺鐨勫垎甯冪殑姒傚康鍜屾€ц唱(zh矛)锛岀悊瑙ｄ簩缍洟鏁�
鍨嬮毃姗�(j墨)璁婇噺鐨勬鐜囧垎甯冨拰閭婄罚鍒嗗竷锛岀悊瑙ｄ簩缍€ｇ簩(x霉)鍨嬮毃姗�(j墨)璁婇噺鐨勬鐜囧瘑搴﹀拰閭婄罚瀵嗗害锛屾渻(hu矛)姹�
鑸囦簩缍洟鏁ｅ瀷璁婇噺鐩搁棞(gu膩n)浜嬩欢鐨勬鐜囷紟
2锛庣悊瑙ｉ毃姗�(j墨)璁婇噺鐨勭崹(d煤)绔嬫€у強涓嶇浉闂�(gu膩n)鎬х殑姒傚康锛屼簡瑙ｉ毃姗�(j墨)璁婇噺鐩镐簰鐛�(d煤)绔嬬殑姊濅欢锛�
3锛庝簡瑙ｄ簩缍潎鍕诲垎甯�锛屼簡瑙ｄ簩缍鎱�(t脿i)鍒嗗竷
2 2
1 2 1 2
( , ; , ; )N u u ? ? ? 鐨勬鐜囧瘑搴�锛屼簡瑙ｅ叾涓弮鏁�(sh霉)鐨勬鐜囨剰缇╋紟
4锛庢渻(hu矛)姹傚叐鍊�(g猫)鐛�(d煤)绔嬮毃姗�(j墨)璁婇噺鍜岀殑鍒嗗竷锛�
4) 闅ㄦ(j墨)璁婇噺鐨勬暩(sh霉)瀛楃壒寰�
鑰冭│鍏�(n猫i)瀹�
闅ㄦ(j墨)璁婇噺鐨勬暩(sh霉)瀛�(xu茅)鏈熸湜锛堝潎鍊硷級銆佹柟宸�銆佹(bi膩o)婧�(zh菙n)宸強鍏舵€ц唱(zh矛) 闅ㄦ(j墨)璁婇噺绨�(ji菐n)鍠嚱鏁�(sh霉)鐨勬暩(sh霉)瀛�(xu茅)鏈熸湜 鐭�銆�
鍗�(xi茅)鏂瑰樊鍜岀浉闂�(gu膩n)绯绘暩(sh霉)鍙婂叾鎬ц唱(zh矛)
鑰冭│瑕佹眰
1锛庣悊瑙ｉ毃姗�(j墨)璁婇噺鏁�(sh霉)瀛楃壒寰侊紙鏁�(sh霉)瀛�(xu茅)鏈熸湜銆佹柟宸€佹(bi膩o)婧�(zh菙n)宸�銆佺煩銆佸崝(xi茅)鏂瑰樊銆佺浉闂�(gu膩n)绯绘暩(sh霉)锛夌殑姒�
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
