厥菜吃了有好处吗:(1+1/2)(1+1/2 2次)(1+1/2 4次)(1+1/2 8次)+1/2 15次

来源:百度文库 编辑:高考问答 时间:2024/04/29 10:18:35
乘法公式

原式=(1-1/2)(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)/(1-1/2)+1/2^15
=(1-1/2^2)(1+1/2^2)(1+1/2^4)(1+1/2^8)/(1-1/2)+1/2^15
=(1-1/2^4)(1+1/2^4)(1+1/2^8)/(1-1/2)+1/2^15
=(1-1/2^8)(1+1/2^8)/(1-1/2)+1/2^15
=(1-1/2^16)/(1-1/2)+1/2^15
=2-1/2^15+1/2^15
=2