搜狗做题网初一数学·计算与化简题
来源：学生作业帮 编辑：搜狗做题网作业帮 分类：数学作业 时间：2024/05/30 17:39:01
初一数学·计算与化简题
计算：|1-1/2|+|1/3-1/2|+|1/4-1/3|+…+|1/1000-1/999|
化简：|-√2/2+1|-|-√3-1|+|-√3|-|-√2/2|
计算：|1-1/2|+|1/3-1/2|+|1/4-1/3|+…+|1/1000-1/999|
化简：|-√2/2+1|-|-√3-1|+|-√3|-|-√2/2|
|1-1/2|+|1/3-1/2|+|1/4-1/3|+…+|1/1000-1/999|
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+…+(1/999-1/1000)
=1-1/1000
=999/1000
|-√2/2+1|-|-√3-1|+|-√3|-|-√2/2|
=(1-√2/2)-(√3+1)+√3-√2/2
=1-√2/2-√3-1+√3-√2/2
=-√2
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+…+(1/999-1/1000)
=1-1/1000
=999/1000
|-√2/2+1|-|-√3-1|+|-√3|-|-√2/2|
=(1-√2/2)-(√3+1)+√3-√2/2
=1-√2/2-√3-1+√3-√2/2
=-√2