已知a1,a2,a3,··a1997均为正数,有M=(a1+a2+····a1996)(a2+a3+····+a1997) N=(a1+a2+·乘(a2+a3+········+a1996) 则M与N的大小关系是要过程,在线等,拜托了!N=(a1+a2+···+a1997)(a2+a3+···+a1
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![已知a1,a2,a3,··a1997均为正数,有M=(a1+a2+····a1996)(a2+a3+····+a1997) N=(a1+a2+·乘(a2+a3+········+a1996) 则M与N的大小关系是要过程,在线等,拜托了!N=(a1+a2+···+a1997)(a2+a3+···+a1](/uploads/image/z/15235535-47-5.jpg?t=%E5%B7%B2%E7%9F%A5a1%2Ca2%2Ca3%2C%C2%B7%C2%B7a1997%E5%9D%87%E4%B8%BA%E6%AD%A3%E6%95%B0%2C%E6%9C%89M%3D%EF%BC%88a1%2Ba2%2B%C2%B7%C2%B7%C2%B7%C2%B7a1996%EF%BC%89%EF%BC%88a2%2Ba3%2B%C2%B7%C2%B7%C2%B7%C2%B7%2Ba1997%EF%BC%89+N%3D%EF%BC%88a1%2Ba2%2B%C2%B7%E4%B9%98%EF%BC%88a2%2Ba3%2B%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%2Ba1996%EF%BC%89++++++++++++%E5%88%99M%E4%B8%8EN%E7%9A%84%E5%A4%A7%E5%B0%8F%E5%85%B3%E7%B3%BB%E6%98%AF%E8%A6%81%E8%BF%87%E7%A8%8B%2C%E5%9C%A8%E7%BA%BF%E7%AD%89%2C%E6%8B%9C%E6%89%98%E4%BA%86%21N%3D%28a1%2Ba2%2B%C2%B7%C2%B7%C2%B7%2Ba1997%29%28a2%2Ba3%2B%C2%B7%C2%B7%C2%B7%2Ba1)
已知a1,a2,a3,··a1997均为正数,有M=(a1+a2+····a1996)(a2+a3+····+a1997) N=(a1+a2+·乘(a2+a3+········+a1996) 则M与N的大小关系是要过程,在线等,拜托了!N=(a1+a2+···+a1997)(a2+a3+···+a1
已知a1,a2,a3,··a1997均为正数,有M=(a1+a2+····a1996)(a2+a3+····+a1997) N=(a1+a2+·
乘(a2+a3+········+a1996)
则M与N的大小关系是
要过程,在线等,拜托了!
N=(a1+a2+···+a1997)(a2+a3+···+a1996)
已知a1,a2,a3,··a1997均为正数,有M=(a1+a2+····a1996)(a2+a3+····+a1997) N=(a1+a2+·乘(a2+a3+········+a1996) 则M与N的大小关系是要过程,在线等,拜托了!N=(a1+a2+···+a1997)(a2+a3+···+a1
设a2+a3+.+a1996=x
则M=(a1+x)(x+a1997)
=a1x+x2+a1997x+a1·a1997
N=(a1+x+a1997)·x
=a1x+x2+a1997x
M-N=a1x+x2+a1997x+a1·a1997-(a1x+x2+a1997x)
=a1×a1997
a1,a1997均为正数
所以M-N>0
M>N
令A=a2+……a1996
那么M=(a1+A)(A+a1997)
N=(a1+A+a1997)XA
然后把上M和N去括号相减就看出来了