11-12高三上·宁夏银川·期末
1 . (本小题满分l2分)
设椭圆
的焦点分别为
,直线
交
轴于点
,且
.
(Ⅰ)试求椭圆的方程;
(Ⅱ)过
分别作互相垂直的两直线与椭圆分别交于
四点(如图所示),试求四边形
面积的最大值和最小值.
设椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f49644cd9fa4688cc3a74a234952530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d05a0a5d5f90e591a9fa2916ba1d67b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff60811681be1e63d9571b9adbd9c3e0.png)
(Ⅰ)试求椭圆的方程;
(Ⅱ)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d05ca0d28e477118ce1c06ce6f1d7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17dea6aa2b6d8362542af3a7a8d55c08.png)
![](https://img.xkw.com/dksih/QBM/2011/2/25/1570012428500992/1570012433899520/STEM/5e949750fb7f449cbd9d9c8451090448.png?resizew=220)
您最近一年使用:0次
真题
名校
2 . 已知函数
,其中
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0dacc400d55a1a447d426d7a2312f3f.png)
(Ⅰ)讨论函数
的单调性;
(Ⅱ)设函数
是自然对数的底数),是否存在
,使
在
,
上是减函数?若存在,求
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338aa732c99c76690e19a1d9e0d8604a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0dacc400d55a1a447d426d7a2312f3f.png)
(Ⅰ)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/719c1d3a86360b9bf82e9abf176aeba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f944dbcd1a2a1cc595573f63b244e9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bcfb6e289f796810b7a9d65e604657c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2016-11-30更新
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266次组卷
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2卷引用:2010年普通高等学校招生全国统一考试(湖南卷)数学(文科)