已知函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224709129870416/SYS201311012247091298704014_ST/0.png)
,其中a,b∈R,若曲线y=f(x)在点P(2,f(2))处的切线方程为y=3x+1,求函数f(x)的解析式.
考点分析:
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设椭圆
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224709129870416/SYS201311012247091298704013_ST/0.png)
上一点P到左准线的距离为10,F是该椭圆的左焦点,若点M满足
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=
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(
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+
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),则
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=
.
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将长为L的木棒随机地折成3段,则3段构成三角形的概率是
.
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P为椭圆
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224709129870416/SYS201311012247091298704011_ST/0.png)
上一点,F
1、F
2是椭圆的左、右焦点,若使△F
1PF
2为直角三角形的点P共有8个,则椭圆离心率的取值范围是
.
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以下是关于圆锥曲线的四个命题:
①设A、B为两个定点,k为非零常数,若PA-PB=k,则动点P的轨迹是双曲线;
②方程2x
2-5x+2=0的两根可分别作为椭圆和双曲线的离心率;
③双曲线
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224709129870416/SYS201311012247091298704010_ST/0.png)
与椭圆
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224709129870416/SYS201311012247091298704010_ST/1.png)
有相同的焦点;
④以过抛物线的焦点的一条弦AB为直径作圆,则该圆与抛物线的准线相切.
其中真命题为
(写出所以真命题的序号).
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已知椭圆C:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224709129870416/SYS201311012247091298704009_ST/0.png)
+y
2=1的右焦点为F,右准线为l,点A∈l,线段AF交C于点B,若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224709129870416/SYS201311012247091298704009_ST/1.png)
,则|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224709129870416/SYS201311012247091298704009_ST/2.png)
|=
.
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