已知点P
n(a
n,b
n)(n∈N)满足a
n+1=a
nb
n+1,b
n+1=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231426650530165/SYS201311012314266505301020_ST/0.png)
,且点P
1的坐标为(1,-1).
(Ⅰ)求经过点P
1,P
2的直线l的方程;
(Ⅱ) 已知点P
n(a
n,b
n)(n∈N)在P
1,P
2两点确定的直线l上,求数列{a
n}通项公式.
(Ⅲ)在(Ⅱ)的条件下,求对于所有n∈N,能使不等式(1+a
1)(1+a
2)…(1+a
n)≥k
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231426650530165/SYS201311012314266505301020_ST/1.png)
成立的最大实数k的值.
考点分析:
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