题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153554-96177.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153554-14543.png)
解析
试题分析:由题意,不妨设点A(a,0),B(0,b),则直线AB的方程为:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153554-64605.png)
∵菱形ABCD的内切圆恰好过焦点,∴原点到直线AB的距离为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153555-12855.png)
∴a2b2=c2(a2+b2),∴a2(a2-c2)=c2(2a2-c2),∴a4-3a2c2+c4=0,∴e4-3e2+1=0,
解得e2=
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153555-72233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153554-14543.png)
点评:中档题,解题的关键是利用菱形ABCD的内切圆恰好过焦点,得到原点到直线AB的距离等于半焦距,确定得到a,b,c的关系。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153539-77215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153539-15616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153539-78416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153539-60012.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153539-77215.png)
(2)命题:“设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153539-18741.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153540-24669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153539-60012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153540-30538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153540-96994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153540-73599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153539-77215.png)
(3)试推广(Ⅱ)中的命题,写出关于方程
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153540-35251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153541-79778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153541-48751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153525-24828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153525-87832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153525-48073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153525-24828.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153525-24828.png)
(Ⅱ)已知点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153526-75449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153526-30873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153525-24828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153526-43518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153515-55489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153515-34632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153516-24744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153516-34656.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153515-55489.png)
(Ⅱ)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153516-98774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153516-45582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153515-55489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153516-76283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153516-45582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153517-92542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153517-29890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153517-97762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153517-59976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153507-67105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153508-31848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153508-40833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153508-70046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153508-73864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153509-92862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153508-70046.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153427-69831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153427-23033.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153427-38115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153427-57349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153428-39383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153428-97378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153428-64535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153428-94494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153428-28905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153428-16924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153428-39176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153428-96290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153429-75972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153429-86806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153429-96469.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153428-28905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153428-16924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153436-50915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153436-58855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153436-94787.jpg)
(i)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153436-18658.png)
(ii)问直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153436-12231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153428-97378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153436-95703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153437-47857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153437-77185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153437-53246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153437-12993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153437-17454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153437-98296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153438-37511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153438-67608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153428-97378.png)
最新试题
- 1已知两个不相等的实数a、b满足以下关系式:a2•sinθ+a•cosθ-π4=0,b2•sinθ+b•cosθ-π4=0
- 2不等式x-2≤0的解集在数轴上表示正确的是 [ ]A.B.C.D.
- 3[2013·大纲全国卷]已知α是第二象限角,sinα=,则cosα=( )A.-B.-C.D.
- 4.(本小题满分12分)如图,在正方体中,E、F分别是中点。(Ⅰ)求证:;(Ⅱ)求证:;(III)棱上是否存在点P使,若存
- 5中国古代对外交通经历了由西北陆地转向东南海路的过程,并在15世纪初创造过世界 航海史上的壮举,实现这一转变的根本
- 6如果你的朋友夏季到欧洲西部去旅游,你一定要告诉他那里( )A.夏季比哈尔滨热B.夏季比哈尔滨凉爽C.夏季和哈尔滨
- 7如图所示杠杆中费力杠杆的是( )A.B.C.D.
- 8如图,是一束太阳光线从教室窗户射入的示意图,光线与地面所成的∠AMC=30°,在教室地面上的影长米,若窗户的下檐到教室地
- 9The children all looked ________ at the teacher when he told
- 10已知等比数列中,各项都是正数,且3,成等差数列,则A.1B.C.3 D.
热门考点
- 1有关人口问题的说法,正确的是[ ]A.人口的增长越快越好B.人口的增长越慢越好C.人口增长过快,不会产生许多问题
- 2下面为明清时期各地集市变化统计表,表中数据说明,自明朝嘉靖至清朝道光年间省区嘉靖至万历顺治至雍正乾隆至道光州县数集市数州
- 3用如图所示的实验装置观察光的薄膜干涉现象.图(a)是点燃的酒精灯(在灯芯上洒些盐),图(b)是竖立的附着一层肥皂液薄膜的
- 4对于函数f(x),若存在区间M=[a,b](a<b),使得 {y|y=f(x).x∈M}=M,则称区间M为函数f(x)的
- 5 下列句子中没有语病的一项(2分)( )A.通过中国网民的据理力争,令美国CNN电视台不得不就“辱华事件”作出正式道
- 6陈燮霞,1983年1月生于广东番禺。1992年,年仅9岁的陈燮霞在读小学三年级时被番禺业余体校选中,从此离开父母,刻苦训
- 7上初中后,小林的变化比较大。以前,小林是个非常听话的乖孩子,父母要小林做什么,他就做什么;现在则不同了,父母要小林做的事
- 8已知f(x)是定义域为R的偶函数,当x≥0时,f(x)=x2-4x,那么,不等式f(x+2)<5的解集是______.
- 9关于现代类人猿与人类的根本区别的叙述,不正确的是[ ]A.生殖方式不同B.制造工具的能力不同C.脑发育的程度不同
- 10我国领土最东端在( )A.漠河以北的黑龙江主航道的中心线上B.南沙群岛的曾母暗沙C.新疆的帕米尔高原上D.黑龙江与乌苏