问几道初一数学平方差公式的题(很简单)
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123^2-124*122=123^2-(123+1)(123-1)=123^2-123^2+1=1
1、 （2004的平方-2005乘以2003）分之2004 =2004/(2004^2-(2004+1)*(2004-1)) =2004/(2004^2-2004^2+1) =2004 2、 38.5的平方-36.5的平方+34.5的平方-32.5的平方 =(38.5+36.5)*(38.5-36.5)+(34.5+32.5)*(34.5-32.5) =75*2+67*2 =284 3、 （252的平方-248的平方）分之1000的平方 =1000^2/((252+248)*(252-248)) =1000^2/(500*4) =5001 解:原式=2004/[2004^2-(2004+1)(2004-1)] =2004/(2004^2-2004^2+1) =2004 2解: 原式=(36.5+2)^2-36.5^2+(32.5+2)^2-32.5^2 =(36.5+2-36.5)(36.5+2+36.5)+(32.5+2-32.5)(32.5+2+32.5) =2*75+2*67 =2(75+67) =2(142) =284 3解:原式 =1000/(252^2-248^2) =1000/(252-248)(252+248) =1000/(4*500) =0.5
绛旓細鍒嗚В鍥犲紡锛4y^ 2-9x^ 2=(2y+3x)(2y-3x) x^ 2-1=(x+1)(x-1) a^ 2-b^ 4=(a+b^ 2)(a-b^ 2) x^ 4-16=( x^ 2+4)( x^ 2 -4)=( x^ 2+4)( x+2)(x-2)
绛旓細(1-1/2^2)(1-1/3^2)=1-1/(2*3)^2 (1-1/2^2)(1-1/3^2)(1-1/4^2)=1-1/(2*3*4)^2 (1-1/2^2)(1-1/3^2)(1-1/4^2)...(1-1/10^2)=1-1/(2*3*4鈥︹*10锛塣2=1-1/3628800
绛旓細=(x^4)2-1 =x^8-1 2 x^2-y^2=24 (x+y)(x-y)=24 鈭祒+y=6 鈭6(x-y)=24 鈭 (x-y)=24梅6 =4 3 鏈夛紝寰楀埌鐨勭煩褰㈤潰绉瘮姝ｆ柟褰㈤潰绉皬1 4 a=2009^2-锛2010x2008锛=2009^2-锛2009+1锛夛紙2009-1锛=2009^2-锛2009^2-1锛=2009^2-2009^2+1 =1 5 涓嶆噦锛屽簲璇ユ槸棰樼洰...
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绛旓細瑙ｏ細锛1锛28=4脳7=82-62锛2012=4脳503=5042-5022锛屾墍浠ユ槸绁炵鏁帮紱锛2锛夛紙2k+2锛2-锛2k锛2=锛2k+2-2k锛夛紙2k+2+2k锛=4锛2k+1锛夛紝鈭寸敱2k+2鍜2k鏋勯犵殑绁炵鏁版槸4鐨勫嶆暟锛庯紙3锛夎涓や釜杩炵画濂囨暟涓2k+1鍜2k-1锛屽垯锛2k+1锛2-锛2k-1锛2=8k锛屸埓涓や釜杩炵画濂囨暟鐨骞虫柟宸涓嶆槸绁炵鏁帮紟...
绛旓細1.29*31*(30^2+1)=(30-1)(30+1)(30^2+1)=(30^2-1)(30^2+1)=(30^2)^2-1 =900^2-1 =810000-1 =809999 2.(2x-1)(x-2)-(x-2)^2-(x+2)^2 棰樼洰鎶勯敊浜嗗惂锛屼笉濂界敤骞虫柟宸鍛 (2x-1)(x-2)-(x-2)^2-(x+2)^2 =2x^2-5x+2-(x-2)^2-(x+2)^2 =x^2...
绛旓細)(1+1/2⁴)(1+2^8)+1/2^15 =2*(1-1/2²)(1+1/2²)(1+1/2⁴)(1+2^8)+1/2^15 =銆傘=2*锛1-1/2^16锛+1/2^15 =2-1/2^15+1/2^15 =2 涓嶆槑鐧斤紝鍙互杩介棶濡傛湁甯姪锛岃寰楅噰绾 濡傝拷鍔犲叾瀹闂锛岄噰绾虫湰棰樺悗鐐瑰嚮鎯虫垜姹傚姪锛岃阿璋 绁濆涔犺繘姝ワ紒
绛旓細1.[x(x+y)-y(x-y)]脳(x²-y²)=锛坸²+xy-xy+y²)脳(x²-y²)=(x²+y²)脳(x²-y²)=x 4-y 4 2.x(x+y+z)-y(x-y-z)-z(x+y-z)=x²+xy+xz-xy+y²+yz-xz-yz+z²=x²+y²...
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