(a+b)的四次幂展开式有五项，系数分别是？ java:(a+b)的n次幂的展开式中各项的系数很有规律，对...
(a+b)\u7684n\u6b21\u65b9\u5c55\u5f00\u5f0f\u662f\u5565\u5982\u679c\u7528\u6768\u8f89\u4e09\u89d2\u5feb\u901f\u89e3(a+b)\u7684n\u6b21\u65b9\uff0c\u539f\u6765\u8fd9\u4e48\u7b80\u5355\uff0c\u611f\u89c9\u5b66\u8fdf\u4e86\u3002\u7528\u6768\u8f89\u4e09\u89d2\u5feb\u901f\u89e3(a+b)\u7684n\u6b21\u65b9\uff0c\u539f\u6765\u8fd9\u4e48\u7b80\u5355\u7684
\u586b\u5165
f(m-1, n-1)+f(m-1, n);
绛旓細鏈鎺ヨ繎鐨勬槸锛6^3+8^3=9^-1锛岃繕鏄樊浜1銆備簬鏄縿浠婁负姝㈡渶浼熷ぇ鐨勪笟浣欐暟瀛﹀璐归┈鎻愬嚭浜嗙寽鎯筹細鎬荤殑鏉ヨ锛屼笉鍙兘灏嗕竴涓珮浜2娆＄殑骞傚啓鎴愪袱涓悓鏍娆″箓鐨勫拰銆傚洜姝わ紝灏辨湁浜嗭細宸茬煡锛歛^2+b^2=c^2 浠=b+k锛宬=1.2.3鈥︹︼紝鍒檃^2+b^2=(b+k)^2銆傚洜涓猴紝鏁存暟c蹇呯劧瑕佹瘮a涓巄閮借澶э紝鑰屼笖鑷冲皯...
绛旓細鍏充簬閫氶」鍏紡鐨勫嚑涓鐐规湁锛1. 椤规暟锛氭诲叡浜岄」寮灞曞紑鏈n+1椤癸紝閫氬父閫氶」鍏紡鍐欑殑鏄痳+1椤广2. 閫氶」鍏紡鐨勭r+1椤圭殑浜屾椤圭郴鏁版槸Cnk锛屼簩娆￠」绯绘暟涓嶆槸椤圭殑绯绘暟銆3. 濡傛灉浜岄」寮鐨勫箓鎸囨暟鏄伓鏁帮紝涓棿鐨勪竴椤逛簩娆￠」绯绘暟鏈澶с傚鏋滄槸濂囨暟锛屽垯鏈涓棿2椤规渶澶у苟涓旂浉绛夈4.鎸囨暟锛歛鎸夐檷骞傛帓鍒楋紝b鎸夊崌骞...
绛旓細瑙傚療涓嬮潰杩欎簺鏁扮殑瑙勫緥 1 1 1 (a+b)^1 = a + b 1 2 1 (a+b)^2 = a^2 + 2ab + b^2 1 3 3 1 (a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 1 4 6 4 1 (a+b)^4 = ...閫氬父璁＄畻鐨勬椂鍊欏彲浠ヨ繖涔堢敤 鍏紡鐨勮瘽锛(a+b)^n = 鈭 n!/[(n-m)! * m...
绛旓細娲涙湕绾ф暟鏄冭檻瑙ｆ瀽鍩熷唴鏈夊鐐瑰瓨鍦紝娉板嫆绾ф暟涓嶈冭檻濂囩偣銆傚墠鑰灞曞紑寮忔湁璐熷箓娆￠」锛屽悗鑰呮病鏈夈傚悗闈竴绔犺鐨勭暀鏁帮紝灏辨槸鎸囨礇鏈楀睍寮寮忎腑璐熶竴娆″箓鐨勯」鐨勭郴鏁般傜浉鍚岀偣灏辨槸涓よ呴兘灞炰簬骞傜骇鏁般傛垜灏辩煡閬撹繖涔堝鍟︺傘傘傛姳姝
绛旓細鍥犳灏辨槸锛1+2*2*2*2锛+锛-1+2*2*2锛+锛1+2*2锛+锛-1+2锛+锛1+1锛=锛1+16锛+锛-1+8锛+5+1+2=17+7+8=32 2.m鈯璇存槑m*n=0锛屽嵆锛坅+b-c锛塻inC+abcosC=0.鎵浠anC=-ab/(a+b-c)涓嬮潰鐨勬垜灏辫寰椾笉鏄緢娓呮浜嗭紝鍐嶇敤閭ｄ釜浠涔堟寮﹀畾鐞嗗拰浣欏鸡瀹氱悊灏辫浜嗭紝鎴戣寰椾笉鏄緢...
绛旓細鐩存帴鐢ㄤ簩椤瑰紡灞曞紑鍏紡锛(a+b)^n=C(n,0)a^n+C(n,1)a^(n-1)b+...+C(n,n)b^n 缁撴灉涓猴細锛坅+b锛夌殑10娆℃柟=a^10+10a^9b+45a^8b^2+120a^7b^3+210a^6b^4+252a^5b^5+210a^4b^6+120a^3b^7+45a^2b^8+10ab^9+b^10 浜岄」寮忓畾鐞嗭紙鑻辫锛欱inomial theorem锛夛紝鍙堢О鐗涢】浜岄」寮...
绛旓細濡傚浘
绛旓細濡備笅鎵绀猴細a^n-b^n =(a-b)[a^(n-1)+a^(n-2)b+a^(n-3)b^2+鈥︹+ab^(n-2)+b^(n-1)]銆傝繖涓畾鐞嗗湪閬椾紶瀛︿腑涔熸湁鍏剁敤姝︿箣鍦帮紝鍏蜂綋搴旂敤鑼冨洿涓猴細鎺ㄦ祴鑷氦鍚庝唬缇や綋鐨勫熀鍥犲瀷鍜屾鐜囥佹帹娴嬭嚜浜ゅ悗浠ｇ兢浣撶殑琛ㄧ幇鍨嬪拰姒傜巼銆佹帹娴嬪钩琛＄姸鎬佺兢浣撶殑鍩哄洜鎴栧熀鍥犲瀷棰戠巼绛夈
绛旓細鑷彉閲忕殑鍙栧艰寖鍥:鍒嗗紡鍒嗘瘝涓嶄负闆,鍋舵鏍逛笅璐熶笉琛;闆娆″箓搴曟暟涓嶄负闆,鏁村紡銆佸娆℃牴鍏ㄨ兘琛屻 鍑芥暟鍥惧儚鐨勭Щ鍔ㄨ寰:鑻ユ妸涓娆″嚱鏁拌В鏋愬紡鍐欐垚y=k(x+0)+b銆佷簩娆″嚱鏁扮殑瑙ｆ瀽寮忓啓鎴恲=a(x+h)2+k鐨勫舰寮,鍒欑敤涓嬮潰鍚庣殑鍙ｈ瘈"宸﹀彸骞崇Щ鍦ㄦ嫭鍙,涓婁笅骞崇Щ鍦ㄦ湯绋,宸︽鍙宠礋椤荤墷璁,涓婃涓嬭礋閿欎笉浜"銆 涓娆″嚱鏁板浘鍍忎笌鎬ц川鍙ｈ瘈...
绛旓細B 璇曢鍒嗘瀽锛氣埖 鐨勫睍寮寮忎腑娌℃湁 x 鐨勫娆″箓椤癸紝鈭碼-1=0锛屸埓a=1,鏁呬簩椤瑰紡涓 锛屽叾灞曞紑寮忛氶」涓 锛屼护10-2r=8寰梤=1锛屾晠鍚 鐨勯」涓 锛屽叾绯绘暟涓-5锛屾晠閫塀鐐硅瘎锛氱啛缁冭繍鐢ㄤ簩椤瑰紡鐨勫睍寮寮鏄В鍐虫绫婚棶棰樼殑鍏抽敭锛屽睘鍩虹棰
