用简便方法计算:(1-2²分之1)(1-3²分之1)(1-4²分之1).(1-2013²分之1)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/01 07:49:31
![用简便方法计算:(1-2²分之1)(1-3²分之1)(1-4²分之1).(1-2013²分之1)](/uploads/image/z/217296-0-6.jpg?t=%E7%94%A8%E7%AE%80%E4%BE%BF%E6%96%B9%E6%B3%95%E8%AE%A1%E7%AE%97%EF%BC%9A%281-2%26%23178%3B%E5%88%86%E4%B9%8B1%EF%BC%89%EF%BC%881-3%26%23178%3B%E5%88%86%E4%B9%8B1%EF%BC%89%EF%BC%881-4%26%23178%3B%E5%88%86%E4%B9%8B1%EF%BC%89.%EF%BC%881-2013%26%23178%3B%E5%88%86%E4%B9%8B1%EF%BC%89)
用简便方法计算:(1-2²分之1)(1-3²分之1)(1-4²分之1).(1-2013²分之1)
用简便方法计算:(1-2²分之1)(1-3²分之1)(1-4²分之1).(1-2013²分之1)
用简便方法计算:(1-2²分之1)(1-3²分之1)(1-4²分之1).(1-2013²分之1)
原式=(1-1/2)(1+1/2)(1-1/3)(1+1/3)……(1-1/2013)(1+1/2013)
=1/2×3/2×2/3×4/3×……×2012/2013×2014/2013
=1/2×2014/2013
=1007/2013