(1+2/1)×(1+3/1)×(1+4/1)×…×(1+9/1)×(1+10/1)用简算快!
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/15 21:05:37
(1+2/1)×(1+3/1)×(1+4/1)×…×(1+9/1)×(1+10/1)用简算快!
![(1+2/1)×(1+3/1)×(1+4/1)×…×(1+9/1)×(1+10/1)用简算快!](/uploads/image/z/17841559-31-9.jpg?t=%EF%BC%881%2B2%2F1%29%C3%97%281%2B3%2F1%29%C3%97%281%2B4%2F1%29%C3%97%E2%80%A6%C3%97%281%2B9%2F1%29%C3%97%281%2B10%2F1%29%E7%94%A8%E7%AE%80%E7%AE%97%E5%BF%AB%21)
(1+2/1)×(1+3/1)×(1+4/1)×…×(1+9/1)×(1+10/1)
=2/3×3/4×4/5×……×9/10×10/11
=2/11
=5.5
=2/3×3/4×4/5×……×9/10×10/11
=2/11
=5.5
简便方法计算 (1-1/^2)(1-1/^3)(1-1/^4)……(1-1/^9)(1-1/^10)
(1-1/2^2)*(1-1/3)*(1-1/4^2)*…*(1-1/9^2)*(1/10^2)
计算|2/1-1|+|3/1-2/1|+|4/1-3/1| +…+|9/1-8/1|+|10/1-
|1-1/2|+|1/3-1/4|……|1/9-1/10|等于多少啊?,
计算:|1-1/2|-|1/2-1/3|-|1/3-1/4|-……-|1/9-1/10|
|1-1/2|十|1/2-1/3|十|1/3-1/4|……|1/9-1/10|
计算:(1-1/2)*(1-1/3)*(1-1/4)*……*(1-1/10).
/1/3-1/2/+/1/4-1/3/+/1/5-1/4/+.+/1/10-1/9/
计算:1/2×1/3+1/3×1/4+1/4×1/5+…+1/9×1/10
绝对值|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/10-1/9|
|3/1-2/1|+|4/1-3/1|+|5/1-4/1|+…+|10/1-9/1|
(1+1/2)*(1+1/3)*(1+1/4)*(1+1/5)* …… *(1+1/9) * (1+1/10)