2011·广西桂林·一模
1 . 如图,点P在椭圆
上,F1、F2分别是椭圆的左、右焦点,过点P作椭圆右准线的垂线,垂足为M,若四边形
为菱形,则椭圆的离心率是____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0cbb50760c400b9ae5d4b4a76e2e0c.png)
![](https://img.xkw.com/dksih/QBM/2011/6/3/1570236041150464/1570236046548992/STEM/c26415b3771843a8851c60b899407c08.png?resizew=222)
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2 . 如图,已知椭圆
的右顶点为A(2,0),点P(2e,
)在椭圆上(e为椭圆的离心率).
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039932092416/1572039938007040/STEM/747045cf8e2a46c0a971305bcb5aa5ff.png)
(1)求椭圆的方程;
(2)若点B,C(C在第一象限)都在椭圆上,满足
,且
,求实数λ的值.
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039932092416/1572039938007040/STEM/32afc5792bd446fb9bdbef503cbef054.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039932092416/1572039938007040/STEM/4b0f42794ea44c22b3048ea7f8a3b1fe.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039932092416/1572039938007040/STEM/747045cf8e2a46c0a971305bcb5aa5ff.png)
(1)求椭圆的方程;
(2)若点B,C(C在第一象限)都在椭圆上,满足
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039932092416/1572039938007040/STEM/ab70a74ac1c545328b01ef361d6014e2.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039932092416/1572039938007040/STEM/afdd4963fe1f4f02a99242c0d081f7ad.png)
您最近一年使用:0次
2016-12-03更新
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626次组卷
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2卷引用:2015届广西梧州、崇左两市联考高三上学期摸底理科数学试卷