对于任意两个自然数a和b,定义一种新运算“*”：a*b=ab+a/b,求75*5=?,14*2=? 急
75*5=75×5+75/5
= 390
14*2
=14×2+14/2
=28+7
=35
绛旓細鑷瀹氫箟杩愮畻..75*5=75脳5+75梅5=390 12*4=12脳4+12梅4=51
绛旓細閭ｄ箞锛歺(x+1)(x+2)=60 鏄撹В寰梮=3 鏂规硶2. 鐢变簬锛圶*3锛*2=3660锛屾墍浠ュ彲鐭ワ細鐢眡*3涓巟*3 +1杩涓や釜鐩搁偦鐨鑷劧鏁鐩镐箻寰楀埌3660 閭ｄ箞杩欐牱鐨勮嚜鐒舵暟鐨勪箻绉槸60*61=3660 鎵浠ワ細x*3=60 鑰寈*3鏄敱x锛寈+1锛寈+2涓変釜杩炵画鐨勮嚜鐒舵暟鐩镐箻锛屽叾绉负60 鐢变簬锛3*4*5=60锛屾墍浠ワ細鏄撳緱锛歺=3 ...
绛旓細濡傛灉a鈥籦=a+b 闄や互a-b 锛a#b=a鐨刡鏂癸紝閭ｄ箞锛3#2锛夆伙紙5鈥3锛=3²鈥伙紙5鈥3锛=9鈥伙紙5+3锛壝凤紙5-3锛=9鈥4 =锛9+4锛壝凤紙9-4锛=13/5锛涙偍濂斤紝寰堥珮鍏翠负鎮ㄨВ绛旓紝skyhunter002涓烘偍绛旂枒瑙ｆ儜 濡傛灉鏈鏈変粈涔堜笉鏄庣櫧鍙互杩介棶锛屽鏋滄弧鎰忚寰楅噰绾 濡傛灉鏈夊叾浠栭棶棰樿閲囩撼鏈鍚庡彟鍙戠偣鍑诲悜...
绛旓細璁撅紙x螛3锛=y锛屽垯y螛3=15600锛涙牴鎹瀹氫箟鐨勬柊杩愮畻寰楋細y脳锛坹+1锛壝楋紙y+2锛=156000锛涜В寰楋細y=24锛涘嵆x螛3=24锛屽垯x脳锛坸+1锛壝楋紙x+2锛=24锛岃В寰楋細x=2锛庣瓟锛氬鏋滐紙x螛3锛壩3=15600锛屽垯x鐨勫间负2锛
绛旓細骞冲父鐨勮繍绠楅兘鏈夊浐瀹氱鍙凤紝濡+锛-锛*锛岀瓑绛夐偅涔堣繖绉嶈嚜宸瀹氫箟鐨勮繍绠楀氨娌℃湁缁熶竴锛屽浐瀹氱殑绗﹀彿浜嗭紝瀹冨氨鑷繁瑙勫畾鐢ㄢ柍琛ㄧず浜嗭紝鐒跺悗鍙堝憡璇変綘锛岃繖涓柊杩愮畻灏辩浉褰撲簬a*(a+1)*(a+2)*...*(a+b-1)锛屼篃灏辨槸浠巃寮濮嬶紝涓鐩翠箻鍒癮+b-1缁撴潫锛屽洜姝鈻3琛ㄧず浠巟寮濮嬩箻鍒皒+3-1缁撴潫锛寈鈻3=x*(x+1)*(x+...
绛旓細(18鈻b锛夆槄20 =(18-b)*2*3-20/2 =108-6b-10 =98-6b
绛旓細浠=x鈻3=x(x+1)(x+2锛(x鈻3锛夆柍2=t*(t+1)=3660=60*61 =>t=60 =>x(x+1)(x+2=60=3*4*5 =>x=3
绛旓細=1+2+3+4+鈥︹+100 =锛1+100锛壝100梅2 =101脳50 =5050 娉細杩樺彲浠ヨ繖鏍 1*100 =1+(1+1)+(1+2)+(1+3)+鈥︹+锛1+100-1锛=1+2+3+4+鈥︹+100 =锛1+100锛+锛2+99锛+锛3+98锛+鈥︹+锛49+52锛+锛50+51锛=101脳50 锛堝叡50涓101锛=5050 鎮ㄥソ锛屸測zwb鎴戠埍鎴戝鈥濆緢...
绛旓細鐢瀹氫箟鐨勭畻娉曪紝鏈夛細锛坸鈻3锛夆柍2锛濓紙x鈻3锛壝楋蓟锛坸鈻3锛夛紜1锛斤紳3660锛屸埓锛坸鈻3锛塣2锛嬶紙x鈻3锛夛紞3660锛0锛屸埓锛伙紙x鈻3锛夛紜61锛斤蓟锛坸鈻3锛夛紞60锛斤紳0锛屸埖锛坸鈻3锛夋槸鑷劧鏁帮紝鈭达紙x鈻3锛夛紳60锛屸埓x锛坸锛1锛夛紙x锛2锛夛紳60锛3脳4脳5锛屸埓x锛3銆
绛旓細(X鈻3锛夆柍2 = [ X(X+1)(X+2) ] 鈻 2 = X(X+1)(X+2) * [ X(X+1)(X+2) + 1]鍏堜护X(X+1)(X+2) = T锛屽嵆鏈 T * (T + 1) = 3660 = 60*60 = (-61)*(-60)T² + T - 3660 = 0 瑙ｅ緱T = 60銆-61锛堣垗寮冿紝鍥犱负鏄鑷劧鏁鑼冨洿锛夊啀瑙 X(X+1)(X...
