a=√2006-√2005,b=√2007-√2006,c=√2008-√2007 怎样比较这3个数的大小
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/03 04:17:22
![a=√2006-√2005,b=√2007-√2006,c=√2008-√2007 怎样比较这3个数的大小](/uploads/image/z/471520-64-0.jpg?t=a%3D%E2%88%9A2006-%E2%88%9A2005%2Cb%3D%E2%88%9A2007-%E2%88%9A2006%2Cc%3D%E2%88%9A2008-%E2%88%9A2007+%E6%80%8E%E6%A0%B7%E6%AF%94%E8%BE%83%E8%BF%993%E4%B8%AA%E6%95%B0%E7%9A%84%E5%A4%A7%E5%B0%8F)
a=√2006-√2005,b=√2007-√2006,c=√2008-√2007 怎样比较这3个数的大小
a=√2006-√2005,b=√2007-√2006,c=√2008-√2007 怎样比较这3个数的大小
a=√2006-√2005,b=√2007-√2006,c=√2008-√2007 怎样比较这3个数的大小
a=√2006-√2005
=1/(√2006+√2005),
b=√2007-√2006
=1/(√2007+√2006),
c=√2008-√2007
=1/(√2008+√2007 )
分母大的反而小
所以
a>b>c
a的倒数是√2006+√2005
b的倒数是√2006+√2006
c的倒数是√2008+√2007
所以a>b>c