(√7+√5)/(√7-√5)
5-2+7-5=5
25\uff0c\u6c42\u91c7\u7eb3
1.(√7+√5)/(√7-√5)=(√7+√5)*(√7+√5)/[(√7-√5)*(√7+√5)]
=(7+2 *√35+5)/(7-5)=6+2√35
2.(x-y)/(√x-√y)
=(x-y)(√x+√y)/[(√x-√y)*(√x+√y)]
=(x-y)(√x+√y)/(x-y)=(√x+√y)
3.(5√3+2√5)/(2√3-√5)
=(5√3+2√5)*(2√3+√5) /[(2√3-√5)*(2√3+√5)]
=(30+9√15+10)/(9-5)=(40+9√15)/4=10+2.25√15
根据平方差公式，将分母化成整数，然后再去括号化简
(√7+√5)/(√7-√5)
=(√7+√5)*(√7+√5) /(√7-√5) *(√7+√5)
=(7+2√35+5)/(7-2)
=6+√35
(x-y)/(√x-√y)
=(x-y)*(√x+√y) /(√x-√y) *(√x+√y)
=(x-y)*(√x+√y) /(x-y)
=√x+√y
5√3+2√5)/(2√3-√5)
=(5√3+2√5)*(2√3+√5)/(2√3-√5) *(2√3+√5)
=(30+9√15)/7
绛旓細鍗斥垰锛2n-1锛=鈭21 鎵浠2n-1=21 鎵浠=11 鍗斥垰21鏄繖涓暟鍒楃殑绗11椤
绛旓細鈭2 =1.41421356237鈥︹︹垰3 =1.73205080756鈥︹鈭5 =2.23606797749鈥︹︹垰6=2.449489742783鈥︹鈭7=2.645751311064鈥︹
绛旓細鍒╃敤骞虫柟宸叕寮忥紝涓ゆ暟鍜 x 涓ゆ暟宸 = 涓ゆ暟骞虫柟宸 (鈭7-鈭5)脳(鈭5+鈭7)= (鈭7+鈭5)脳(鈭5-鈭7)=(鈭7)² - (鈭5)²=7 - 5 =2 甯屾湜鎴戠殑鍥炵瓟瀵规偍鏈夊府鍔╋紝婊℃剰璇烽噰绾筹紝璋㈣阿銆
绛旓細1,鈭3,鈭5,鈭7,3锛屸︹︾殑閫氶」鍏紡鈭氾紙2n-1锛
绛旓細鏍瑰彿2 (1.4+x)^2=2 1.96+2.8x鈮2 2.8x鈮0.04 x鈮0.014 鏍瑰彿2鈮1.414 鏍瑰彿3 1.7^2=22.89 (1.7+x)^2=3 2.89+3.4x鈮3 x鈮0.032 鏍瑰彿3鈮1.732 鏍瑰彿5 2.2^2=4.84 (2.2+x)^2=5 4.84+4.4x鈮5 x鈮0.036 鏍瑰彿5鈮2.236 鏍瑰彿6 2.4^2=5.76 (2.4+x)^...
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绛旓細=(鈭7+鈭5)*(鈭7+鈭5)/[(鈭7-鈭5)*(鈭7+鈭5)]=(7+2 *鈭35+5)/(7-5)=6+2鈭35 2.(x-y)/(鈭歺-鈭歽)=(x-y)(鈭歺+鈭歽)/[(鈭歺-鈭歽)*(鈭歺+鈭歽)]=(x-y)(鈭歺+鈭歽)/(x-y)=(鈭歺+鈭歽)3.(5鈭3+2鈭5)/(2鈭3-鈭5)=(5鈭3+2鈭5)*(2鈭3+鈭5) /[...
绛旓細姹傜畻鏈钩鏂规牴,涓鑸厛鎶婅寮鏂规暟浠庡皬鏁扮偣璧蜂袱浣嶅垎涓轰竴鑺傦紙姣忚妭瀵瑰簲鏍圭殑涓浣嶏級,鐢ㄤ竴涓被浼奸櫎娉曠珫寮忕鍙凤紙鏍瑰彿锛,浠庨珮鍒颁綆涓浣嶄竴浣嶆眰鍑烘潵銆傚叾浠栨牴鍙凤細鏍瑰彿1=1銆傛牴鍙2=1.414銆傛牴鍙3=1.732銆傛牴鍙4=2鏍瑰彿5=2.236銆傛牴鍙6=2.449銆傛牴鍙7=2.645銆傛牴鍙8=2.828銆傛牴鍙9=3銆傛牴鍙10=3.162銆傛牴鍙11...
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