急求高人解答 数学题!
来源:学生作业帮 编辑:搜搜考试网作业帮 分类:数学作业 时间:2024/06/25 07:58:05
急求高人解答 数学题!
(1+1/11+1/13+1/17)x(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)x(1/11+1/13+1/17)=?
(1+1/11+1/13+1/17)x(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)x(1/11+1/13+1/17)=?
![急求高人解答 数学题!](/uploads/image/z/1423950-6-0.jpg?t=%E6%80%A5%E6%B1%82%E9%AB%98%E4%BA%BA%E8%A7%A3%E7%AD%94+%E6%95%B0%E5%AD%A6%E9%A2%98%21)
[1+(1/11+1/13+1/17)]x[(1/11+1/13+1/17)+1/19]
=(1/11+1/13+1/17)+(1/11+1/13+1/17)^2+1/19+(1/11+1/13+1/17)/19
[1+(1/11+1/13+1/17)+1/19]x(1/11+1/13+1/17)
= (1/11+1/13+1/17)+(1/11+1/13+1/17)^2+(1/11+1/13+1/17)/19
原式=1/19
=(1/11+1/13+1/17)+(1/11+1/13+1/17)^2+1/19+(1/11+1/13+1/17)/19
[1+(1/11+1/13+1/17)+1/19]x(1/11+1/13+1/17)
= (1/11+1/13+1/17)+(1/11+1/13+1/17)^2+(1/11+1/13+1/17)/19
原式=1/19