求一道高一代数题解方程4的x次方+6的x次方=9的x次方,求x
4^x+6^x=9^x(2^x)^2+2^x*3^x-(3^x)^2=0把2^x看成未知数来求,得2^x=(根号5-1)*3^x/2整理一下：（3/2)^x=2/(根号5-1）所以x=log3/2为底的2/(根号5-1）绛旓細4^x+6^x=9^x(2^x)^2+2^x*3^x-(3^x)^2=0鎶2^x鐪嬫垚鏈煡鏁版潵姹,寰2^x=(鏍瑰彿5-1)*3^x/2鏁寸悊涓涓嬶細锛3/2)^x=2/(鏍瑰彿5-1锛夋墍浠=log3/2涓哄簳鐨2/(鏍瑰彿5-1锛
绛旓細瑕瑙ｆ柟绋4(X-0.8)=3.6锛屽彲浠ユ寜鐓т笅闈㈢殑姝ラ杩涜姹傝В锛1. 灞曞紑鏂圭▼锛屾秷鍘绘嫭鍙凤細4X - 4(0.8) = 3.6銆2. 璁＄畻鎷彿涓殑鏁板硷細4X - 3.2 = 3.6銆3. 绉婚」浠ュ皢鎵鏈塜椤圭Щ鍒版柟绋嬪乏渚э紝鏁板奸」绉诲埌鏂圭▼鍙充晶锛4X = 3.6 + 3.2銆4. 璁＄畻鍙充晶鐨勬暟鍊硷細4X = 6.8銆5. 姹傝ВX鍊硷紝灏嗙瓑寮忎袱...
绛旓細X1+X2-X3+2X1+X2+X3=1+2寰楀嚭锛1锛3X1+2X2=3; 灏嗙浜屽紡涓よ竟涔樹互2锛屽緱鍒帮紙2锛4X1+2X2+2X3=4锛屽啀涓庣涓夊紡鐩稿噺锛屽緱鍒癤1=-1,浠ｅ叆锛1锛夛紝寰楀埌X2=3,鎶妜1=-1;X2=3浠ｅ叆绗竴寮忥紝寰楀埌X3=3 鎵浠ワ細X1=-1;X2=3;X3=3
绛旓細涓鍏冧簩娆℃柟绋鏈夊洓绉嶈В娉: 1銆佺洿鎺ュ紑骞虫柟娉;2銆侀厤鏂规硶;3銆佸叕寮忔硶;4銆佸垎瑙ｅ洜寮忔硶銆傗拡鐩存帴寮骞虫柟娉: 鐩存帴寮骞虫柟娉曞氨鏄敤鐩存帴寮骞虫柟姹傝В涓鍏冧簩娆℃柟绋嬬殑鏂规硶銆傜敤鐩存帴寮骞虫柟娉曡В褰㈠(x-m)^2=n (n鈮0)鐨 鏂圭▼,鍏惰В涓簒=卤鈭歯+m .渚1.瑙ｆ柟绋鈶(x-2)^2 =9鈶9x^2-24x+16=11鍒嗘瀽:鈶存鏂圭▼鏄剧劧鐢ㄧ洿鎺ュ紑...
绛旓細棣栧厛浣犲緱鏄庣‘杩欓噷m鏄釜宸茬煡鏁帮紝鏈鍚庢眰寰鐨剎yz鑲畾鏄敤m鏉ヨ〃绀虹殑 绗竴姝ワ細鈶*m-鈶″緱鍒颁竴涓鏂圭▼4锛屽彧鍚湁x鍜寊 绗簩姝ワ細鈶*m-鈶″緱鍒颁竴涓柟绋5锛屼篃鍙惈鏈墄鍜寊 绗笁姝ワ細涓婇潰涓ゆ姹傚緱鐨勪袱涓柟绋嬪彧鏈変袱涓湭鐭ユ暟x鍜寊锛屾墍浠ュ彲浠ユ眰瑙ｅ嚭x鍜寊 绗洓姝ワ細鎶婁笂闈㈢畻寰楃殑x 鍜寊浠ｅ叆鍘熸潵涓夊紡涓殑浠绘剰涓涓...
绛旓細2銆佷娇鐢ㄥ緟瀹氱郴鏁版硶瑙ｉ鐨勪竴鑸楠ゃ傦紙1锛夌‘瀹氭墍姹傞棶棰樺惈寰呭畾绯绘暟鐨勪竴鑸В鏋愬紡锛涳紙2锛夋牴鎹亽绛夋潯浠讹紝鍒楀嚭涓缁勫惈寰呭畾绯绘暟鐨勬柟绋嬶紱锛3锛瑙ｆ柟绋鎴栨秷鍘诲緟瀹氱郴鏁帮紝浠庤屼娇闂寰楀埌瑙ｅ喅銆備緥濡傦細鈥滃凡鐭x2-5=锛2-A锛壜穢2+Bx+C锛屾眰A锛孊锛孋鐨勫笺傗濊В绛旀棰橈紝骞朵笉鍥伴毦锛庡彧闇灏嗗彸寮忎笌宸﹀紡鐨勫椤瑰紡涓殑瀵瑰簲...
绛旓細绛旀锛x=75 y=48 (7) 47x-40y=853 34x-y=2006 绛旀锛歺=59 y=48 (8) 19x-32y=-1786 75x+y=4950 绛旀锛歺=66 y=95 鍚箟 鍚湁涓や釜鏈煡鏁帮紝骞朵笖鍚湁鏈煡鏁扮殑椤圭殑娆℃暟閮芥槸1鐨勬暣寮鏂圭▼鍙仛浜屽厓涓娆℃柟绋嬨傛墍鏈変簩鍏冧竴娆℃柟绋嬮兘鍙寲涓篴x+by+c=0锛坅銆乥鈮0锛夌殑涓鑸紡涓巃x+by=c锛坅銆乥...
绛旓細1銆佽嫢x>=3锛屽垯2x-2=10锛屽緱x=6锛2銆佽嫢-1<x<3锛屽垯3-x+x+1=10锛屾棤瑙ｏ紱3銆佽嫢x<=-1锛屽垯3-x-x-1=10锛屽緱x=-4锛涚患涓婂緱x=6鎴杧=-4 X^2=X+1寰梄^2-X-1=0,鏁4X^4-4X^3-4X^2+16=4X^2(X^2-X-1)+16=16
绛旓細瑙ｏ細鏂规硶涓锛瑙ｆ柟绋媥²+2x=3寰楀埌锛寈=1锛屾垨鑰厁=-3 浠ｅ叆 浠ｆ暟寮=18鎴栬呬唬鏁板紡=18 浠ｆ暟寮忛兘鏄瓑浜18 鏂规硶浜岋細鏁村紡闄ゆ硶 鍘熷紡=(x^2+2x-3)*锛坸^2+5x+1锛+18 鎶妜^2+2x-3=0浠ｅ叆锛屽緱 鍘熷紡=18 瑙ｆ瘯銆
绛旓細瑙ｆ柟绋媥²-6x+8=0 锛坸-2锛夛紙x-4锛=0 x=2鎴4 鏍规嵁鍦ㄤ笁瑙掑舰涓袱杈逛箣鍜屽ぇ浜庣涓夎竟x涓嶈兘绛変簬2 鍒欏彟涓杈归暱鏄4鎵浠ュ懆闀=3+6+4=13 3棰 鑻浠ｆ暟寮4x²-2x-5涓2x²+1鐨勫间簰涓虹浉鍙嶆暟锛屽垯4x²-2x-5= -锛2x²+1锛4x²-2x-5= -2x²-1 6x&#...
