(1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方) ( 1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/06 03:32:50
(1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方) ( 1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方)

(1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方) ( 1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方)
(1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方)
( 1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方)

(1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方) ( 1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方)
( 1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)...(1-1/9)(1+1/9)(1-1/10)(1+1/10)
=(1/2)(3/2)(2/3)(4/3)(3/4)(5/4)...(8/9)(10/9)(9/10)(11/10)
=(1/2)(11/10)
=11/10
运用平方差公式分解!

10000

用平方差公式

问一下,什么叫1-1/2方啊?
是1-(1/2)的平方还是(1-1/2)的平方啊?

( 1-1/2方)(1-1/3方)(1-1/4方)...(1-1/9方)(1-1/10方)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)...(1-1/9)(1+1/9)(1-1/10)(1+1/10)
=(1/2)(3/2)(2/3)(4/3)(3/4)(5/4)...(8/9)(10/9)(9/10)(11/10)
=(1/2)(11/10)
=11/20
运用平方差公式!!!!!!!!!