①.1/2*5+1/5*8+1/8*11+1/11*14=②.1/3*5+1/5*7+1/7*9+1/9*11=③.3/4+3/28+3/70+3/130=我会加悬赏分的!

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 18:37:49
①.1/2*5+1/5*8+1/8*11+1/11*14=②.1/3*5+1/5*7+1/7*9+1/9*11=③.3/4+3/28+3/70+3/130=我会加悬赏分的!

①.1/2*5+1/5*8+1/8*11+1/11*14=②.1/3*5+1/5*7+1/7*9+1/9*11=③.3/4+3/28+3/70+3/130=我会加悬赏分的!
①.1/2*5+1/5*8+1/8*11+1/11*14=
②.1/3*5+1/5*7+1/7*9+1/9*11=
③.3/4+3/28+3/70+3/130=
我会加悬赏分的!

①.1/2*5+1/5*8+1/8*11+1/11*14=②.1/3*5+1/5*7+1/7*9+1/9*11=③.3/4+3/28+3/70+3/130=我会加悬赏分的!
第一题:1/2*5+1/5*8+1/8*11+1/11*14
=1/3×[(1/2 - 1/5)+ (1/5 - 1/8)+ (1/8 - 1/11)+ (1/11 - 1/14)]
=1/3 × (1/2 - 1/14)
=1/3 ×3/7
=1/7
第二题1/3*5+1/5*7+1/7*9+1/9*11
= 1/2×[(1/3 - 1/5)+ (1/5 - 1/7)+ (1/7 - 1/9)+ (1/9 - 1/11)]
=1/2 × (1/3 - 1/11)
=1/2 ×8/33
=4/33
第三题:3/4+3/28+3/70+3/130
=3×[1/(1×4) + 1/(4×7)+1/(7×10)+1/(10×13)]
=1 - 1/13
=12/13
规律:做这类题,要发现数据的特点,采取拆分法