(1)计算:
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974018_ST/0.png)
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974018_ST/1.png)
(2)先化简,再求值:
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974018_ST/2.png)
,其中
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974018_ST/3.png)
.
考点分析:
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如果记y=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974017_ST/0.png)
=f(x),并且f(1)表示当x=1时y的值,即f(1)=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974017_ST/1.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974017_ST/2.png)
;f(
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974017_ST/3.png)
)表示当x=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974017_ST/4.png)
时y的值,即f(
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974017_ST/5.png)
)=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974017_ST/6.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974017_ST/7.png)
,那么f(1)+f(2)+f(
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974017_ST/8.png)
)+f(3)+f(
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974017_ST/9.png)
)+…+f(n)+f(
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974017_ST/10.png)
)=
.(结果用含n的代数式表示,n为正整数).
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如图,下面是按照一定规律画出的“树形图”,经观察可以发现:图A
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3“树枝”的个数为7,…,照此规律,图A
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已知a、b、c为非零实数,且满足
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974015_ST/0.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974015_ST/1.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101194053188097415/SYS201311011940531880974015_ST/2.png)
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