|
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 榛炴搳鈥�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛炴搳鈥�鑰冨崥瑭﹀嵎搴�鈥� 涓嬭級
鑱�(li谩n)鑰冨嵆灏囦締鑷紝鏀堕泦鏁寸悊浜�MBA鏁�(sh霉)瀛�(xu茅)寰�(f霉)缈�(x铆)鎳�(y墨ng)瑭︾殑鎶€宸т箣鐗瑰€兼硶锛屽笇鏈涜兘灏嶅唬澶ц€冪敓鏈夋墍骞姪锛�
鐗瑰€兼硶锛氶¨鍚嶆€濈京锛岀壒鍊兼硶灏辨槸鎵句竴浜涚鍚堥鐩姹傜殑鐗规畩姊濅欢瑙ｉ銆�
渚嬶細f(n)=(n+1)^n-1锛坣鐐鸿嚜鐒舵暩(sh霉)涓攏锛�1锛�锛屽墖f(n)
锛圓锛夊彧鑳借n鏁撮櫎 锛圔锛夎兘琚玭^2鏁撮櫎 锛圕锛夎兘琚玭^3鏁撮櫎 锛圖锛夎兘琚�(n+1)鏁撮櫎 锛圗锛堿銆丅銆丆銆丏鍧囦笉姝ｇ⒑
瑙ｇ瓟锛氫护n=2鍜�3锛屽嵆鍙珛鍗崇櫦(f膩)鐝�(xi脿n)f(2)=8锛宖(3)=63锛屼簬鏄煡A銆丆銆丏鍧囬尟瑾�锛岃€屽皪浜庣洰鍓嶄簲閬镐竴鐨勯鍨�锛孍澶у鎯呮硜涓嬮兘鏄偤浜嗘箠浜斿€嬮伕闋呰€屼締鐨�锛屾墍浠ワ紝涓€鑸彲浠ヤ笉鑰冩叜E锛屾墍浠ワ紝棣笂灏卞彲浠ュ緱鍑虹瓟妗堢偤B銆�
渚嬶細鍦ㄧ瓑宸暩(sh霉)鍒梴an}涓�锛屽叕宸甦≠0锛屼笖a1銆乤3銆乤9鎴愮瓑姣旀暩(sh霉)鍒�锛屽墖(a1+a3+a9)/(a2+a4+a10)绛変簬
锛圓锛�13/16 锛圔锛�7/8 锛圕锛�11/16 锛圖锛�-13/16 锛圗锛堿銆丅銆丆銆丏鍧囦笉姝ｇ⒑
瑙ｇ瓟锛氬彇鑷劧鏁�(sh霉)鍒�锛屽墖鎵€姹傜偤(1+3+9)/(2+4+10)锛岄伕A銆�
渚嬶細C(1,n)+3C(2,n)+3^2C(3,n)+……+3^(n-1)C(n,n)绛変簬
锛圓锛�4^n 锛圔锛�3*4^n 锛圕锛�1/3*(4^n-1) 锛圖锛�(4^n-1)/3 锛圗锛堿銆丅銆丆銆丏鍧囦笉姝ｇ⒑
瑙ｇ瓟锛氫护n=1锛屽墖鍘熷紡=1锛屽皪鎳�(y墨ng)涓嬮潰绛旀鐐篋銆�
渚嬶細宸茬煡abc=1锛屽墖a/(ab+a+1)+b/(bc+b+1)+c/(ac+c+1)绛変簬
锛圓锛�1 锛圔锛�2 锛圕锛�3/2 锛圖锛�2/3 锛圗锛堿銆丅銆丆銆丏鍧囦笉姝ｇ⒑
瑙ｇ瓟锛氫护a=b=c=1锛屽緱绲�(ji茅)鏋滅偤1锛屾晠閬窤銆�
渚嬶細宸茬煡A鐐簄闅庢柟闄�锛孉^5=0锛孍鐐哄悓闅庡柈浣嶉櫍锛屽墖
锛圓锛塈AI锛�0 锛圔锛塈AI锛�0 锛圕锛塈E-AI=0 锛圖锛塈E-AI≠0 锛圗锛堿銆丅銆丆銆丏鍧囦笉姝ｇ⒑
瑙ｇ瓟锛氫护A(y霉)=0锛堝嵆闆剁煩闄ｏ級锛岄Μ涓婂彲鐭銆丅銆丆鐨嗛尟锛屾晠閬窪銆�
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�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€鑰呭儏浣滃弮鑰冿紝骞惰珛鑷鏍稿鐩搁棞(gu膩n)鍏�(n猫i)瀹�銆�
|
鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
