绝对值的题:|4/1-2/1|+|6/1-4/1|+|8/1-6/1|...|100/1-98/1|4/1-2/1是四分之一减二分之一,绝对值的题:|4/1-2/1|+|6/1-4/1|+|8/1-6/1|...|100/1-98/1|得出最后的值
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 01:10:32
![绝对值的题:|4/1-2/1|+|6/1-4/1|+|8/1-6/1|...|100/1-98/1|4/1-2/1是四分之一减二分之一,绝对值的题:|4/1-2/1|+|6/1-4/1|+|8/1-6/1|...|100/1-98/1|得出最后的值](/uploads/image/z/8481714-42-4.jpg?t=%E7%BB%9D%E5%AF%B9%E5%80%BC%E7%9A%84%E9%A2%98%3A%7C4%2F1-2%2F1%7C%2B%7C6%2F1-4%2F1%7C%2B%7C8%2F1-6%2F1%7C...%7C100%2F1-98%2F1%7C4%2F1-2%2F1%E6%98%AF%E5%9B%9B%E5%88%86%E4%B9%8B%E4%B8%80%E5%87%8F%E4%BA%8C%E5%88%86%E4%B9%8B%E4%B8%80%2C%E7%BB%9D%E5%AF%B9%E5%80%BC%E7%9A%84%E9%A2%98%3A%7C4%2F1-2%2F1%7C%2B%7C6%2F1-4%2F1%7C%2B%7C8%2F1-6%2F1%7C...%7C100%2F1-98%2F1%7C%E5%BE%97%E5%87%BA%E6%9C%80%E5%90%8E%E7%9A%84%E5%80%BC)
绝对值的题:|4/1-2/1|+|6/1-4/1|+|8/1-6/1|...|100/1-98/1|4/1-2/1是四分之一减二分之一,绝对值的题:|4/1-2/1|+|6/1-4/1|+|8/1-6/1|...|100/1-98/1|得出最后的值
绝对值的题:|4/1-2/1|+|6/1-4/1|+|8/1-6/1|...|100/1-98/1|
4/1-2/1是四分之一减二分之一,
绝对值的题:|4/1-2/1|+|6/1-4/1|+|8/1-6/1|...|100/1-98/1|得出最后的值
绝对值的题:|4/1-2/1|+|6/1-4/1|+|8/1-6/1|...|100/1-98/1|4/1-2/1是四分之一减二分之一,绝对值的题:|4/1-2/1|+|6/1-4/1|+|8/1-6/1|...|100/1-98/1|得出最后的值
|1/4-1/2|=1/2-1/4
|1/6-1/4|=1/4-1/6
.
|1/100-1/98|=1/98-1/100
原式
=1/2-1/4+1/4-1/6+...+1/98-1/100
=1/2-1/100
=49/100
四分之一要写成1/4
=(1/2-1/4)+(1/4-1/6)+(1/6-1/8)...+(1/96-1/98)+(1/98-1/100)
=1/2-1/100
=49/100
|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+...+|1/100-198/1|
=(1/2-1/4)+(1/4-1/6)+(1/6-1/8)+…+(1/96-1/98)+(1/98-1/100)
=1/2-1/4+1/4-1/6+1/6-1/8+…+1/96-1/98+1/98-1/100
=1/2-1/100
=49/100