设函数y=f(x)=x
2-bx+1,且y=f(x+1)的图象关于直线x=-1对称.又y=f(x)的图象与一次函数g(x)=kx+2(k<0)的图象交于两点A、B,且|AB=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716253290851/SYS201311031007162532908023_ST/0.png)
|.
(1)求b及k的值;
(2)记函数F(x)=f(x)g(x),求F(x)在区间[0,1]上的最小值;
(3)若sinα,sinβ,sinγ∈[0,1],且sinα+sinβ+sinγ=1,试根据上述(1)、(2)的结论证明:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716253290851/SYS201311031007162532908023_ST/1.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716253290851/SYS201311031007162532908023_ST/2.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716253290851/SYS201311031007162532908023_ST/3.png)
≤
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716253290851/SYS201311031007162532908023_ST/4.png)
.
考点分析:
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