大师作文网初一(1+1/2)(1+1/4)(1+1/16)(1+1/256)
来源：学生作业帮 编辑：大师作文网作业帮 分类：数学作业 时间：2024/09/23 19:14:13
初一(1+1/2)(1+1/4)(1+1/16)(1+1/256)
(1-1/2)*(1+1/2)*(1+1/4)*(1+1/16))*(1+1/256)/(1-1/2)
=(1-1/256*1/256)/(1-1/2)
=2-2/256*256
(1-1/2)*(1+1/2)*(1+1/4)*(1+1/16))*(1+1/256)/(1-1/2)
=(1-1/256*1/256)/(1-1/2)
=2-2/256*256
平方差公式.
（1-1/2）（1+1/2）=1^2-(1/2)^2=1-1/4
(1-1/4)(1+1/4)=1^2-(1/4)^2=1-1/16
(1-1/16)(1+1/16)=1^2-(1/16)^2=1-1/256
(1-1/256)(1+1/256)=1^2-(1/256)^2
（1+1/2)(1+1/4)(1+1/16)(1+1/256)
=(1-1/2)*(1+1/2)*(1+1/4)*(1+1/16))*(1+1/256)/(1-1/2)
=(1-1/256*1/256)/(1-1/2)
=2-2/256*256
（1-1/2）（1+1/2）=1^2-(1/2)^2=1-1/4
(1-1/4)(1+1/4)=1^2-(1/4)^2=1-1/16
(1-1/16)(1+1/16)=1^2-(1/16)^2=1-1/256
(1-1/256)(1+1/256)=1^2-(1/256)^2
（1+1/2)(1+1/4)(1+1/16)(1+1/256)
=(1-1/2)*(1+1/2)*(1+1/4)*(1+1/16))*(1+1/256)/(1-1/2)
=(1-1/256*1/256)/(1-1/2)
=2-2/256*256