观察1乘以2乘以3乘以4+1=25=5² 2乘以3乘以4乘以5+1=121=11²

来源：学生作业帮编辑：百度作业网作业帮分类：数学作业时间：2024/04/27 21:32:03

观察1乘以2乘以3乘以4+1=25=5² 2乘以3乘以4乘以5+1=121=11²
3乘以4乘以5乘以6+1=361=19²
（1）计算5乘以6乘以7乘以8+1的结果是多少?
（2）由此你能推出一般的结论吗?

5*6*7*8+1=1681=41^2
n(n+1)(n+2)(n+3)+1
=[n(n+3)][(n+1)(n+2)]+1
=(n^2+3n)[(n^2+3n)+2]+1
=(n^2+3n)^2+2(n^2+3n)+1
=(n^2+3n+1)^2

观察1乘以2乘以3乘以4+1=25=5² 2乘以3乘以4乘以5+1=121=11² =3乘以2乘以1,=4乘以3乘以2乘以1,=5乘以4乘以3乘以2乘以1,那么100!除以99! 1乘以2乘以3乘以4乘以5乘以.100积有几个零一乘以二乘以三分之一加2乘以3乘以4分之一+3乘以4乘以5分之1+……+48乘以49乘以50分之1. 27046=2乘以( )+7乘以( )+4乘以( )+6乘以( ) 2乘以1+4乘以3+6乘以5直接加到50乘以49 1乘以2+2乘以3+3乘以4+4乘以5……+97乘以98+98乘以99+99乘以100等于多少 8分之5乘以( )=( )乘以3分之2=0.1乘以( )=( )乘以12=1 1乘以3分之2乘以4分之3乘以5分之4乘以.乘以20分之19等于多少? 1乘以2乘以3分之1+2乘以3乘以4分之1+3乘以4乘以5分之1+4乘以5乘以6分之1+········+48乘以49乘 1乘以2乘以3分之1加上2乘以3乘以4分之1加上3乘以4乘以5分之1加上.11乘以12乘以13分之1等于多少 1+2乘以3+4乘以5+6乘以7+8乘以9=1005 在上面各式当中添上适当的括号使等式成立