题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144003-74807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144003-12475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-11983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-97864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144003-12475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-49472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-11983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-54996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-65356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144003-74807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-51308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-85253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-11983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144005-69347.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-11983.png)
(2)过椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-11983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144005-60006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144005-94141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-11983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144005-48601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144005-14819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-15458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-99426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-57650.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-11983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-73866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-57650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-63731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-12282.png)
解析
试题分析:(1)利用椭圆的几何性质及
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144003-74807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-51308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-85253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144007-56249.png)
(2)由(1)知:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144007-64944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144007-79798.png)
根据题意可知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144005-94141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144007-68105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144005-94141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144008-35798.png)
把它代入椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-11983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144008-78045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144008-81346.png)
应用韦达定理以便于确定线段
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-15458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144008-39947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144009-48852.png)
讨论当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144009-62781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144009-18657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-57650.png)
试题解析:(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144003-74807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144003-12475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144009-23660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144009-65256.png)
由题意得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-51308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144010-20641.png)
因
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144003-74807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-51308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-85253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144010-21524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144010-14728.png)
所以有
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144010-65637.png)
由题意知:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144011-76881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144011-56036.png)
联立①②解得:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144011-50891.png)
所求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-11983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-73866.png)
(2)由(1)知:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144007-64944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144007-79798.png)
根据题意可知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144005-94141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144007-68105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144005-94141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144008-35798.png)
把它代入椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144004-11983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144008-78045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144008-81346.png)
由韦达定理得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144011-46228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144012-16043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144012-45032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144012-84830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144012-20863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-15458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144008-39947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144009-48852.png)
(ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144009-62781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144013-50491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-15458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144008-78045.png)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144013-84256.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144013-68513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-63731.png)
(ii)因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144005-14819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-15458.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144013-24357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144014-47987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144014-70796.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144014-70607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144014-12932.png)
代入
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144014-47987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-12282.png)
综上, 满足条件的实数
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-57650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-63731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023144006-12282.png)
核心考点
试题【设,分别是椭圆:的左、右焦点,过作倾斜角为的直线交椭圆于,两点, 到直线的距离为,连结椭圆的四个顶点得到的菱形面积为.(1)求椭圆的方程;(2)过椭圆的左顶点作】;主要考察你对椭圆的定义与方程等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023143946-17134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023143943-13668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023143943-64870.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023143920-70782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023143921-84473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023143921-40541.jpg)
(1)求k1·k2的值;
(2)求MN的最小值;
(3)随着点P的变化,以MN为直径的圆是否恒过定点?若过定点,求出该定点;如不过定点,请说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023143911-86519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023143911-55029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023143911-24239.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023143912-57275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023143912-31002.png)
(2)当直线l与两坐标轴都不垂直时,在x轴上是否总存在点Q,使得直线QA,QB的倾斜角互为补角?若存在,求出点Q坐标;若不存在,请说明理由.
最新试题
- 1如图,四边形ABCD是平行四边形,对角线AC.BD交于点O,过点O画直线EF分别交AD、BC于点E、F。求证:OE=OF
- 2名著阅读。(4分)驴子在牧场上吃草,看见一只狼向他跑来,便装出瘸腿的样子。狼走过来,问他脚怎么啦。他说越过篱笆时,踩着了
- 3下面汉字的结构完全相同的一项是[ ]A.较 作 构 枝 淋B.需 算 获 委 灾 C.坐 爽 乘 巫 来 D.四
- 4【题文】下列是《通典》天宝八年(749年)统计的河北道、河南道(唐玄宗时按山河地形,分全国为十五道)各仓所储粮食量表(注
- 5我国人民代表大会代表法规定:“代表应当与原选举单位的人民群众保持密切联系,听取和反映他们的意见和要求,努力为人民服务。”
- 6一个口袋装有n个红球(n≥5且n∈N)和5个白球,一次摸奖从中摸2个球(每次摸奖后放回),2个球颜色不同则为中奖.(1)
- 7(14分)对于农民进城,有人认为“民工经济”对城乡社会经济发展贡献很大,应该鼓励农民进城务工、经商;也有人认为“民工经济
- 8请你举出几个(至少3个)新时代的“风流人物”,并说说他们为什么可以成为“风流人物”。__________________
- 9夏天,烈日当空,某人在树下乘凉,树影移动,他也跟着移动,感到十分凉爽。到了晚上,皓月当空,他在树下休息,也随着树影移动。
- 10我国运用长征火箭发射了百余颗人造卫星和5次神州飞船.如图是我国航天科技人员自主研究开发的长征系列火箭的立体图形.(火箭圆
热门考点
- 1我国宪法规定,国家鼓励、支持和引导非公有制经济的发展,并对非公有制经济依法实行监督和管理。下列对非公有制经济认识不正确的
- 2“民以食为天”。下列过程主要属于化学变化的是[ ]A.洗菜 B.酿酒 C.碾米D.淘米
- 3在正方体ABCD—A1B1C1D1中,M为DD1的中点,O为ABCD的中心,P为棱A1B1上的任一点,则直线OP与AM所
- 4Look! This is ________ID card.[ ]A. aB. anC. the
- 5下列命题中的假命题是 ( )A X∈R,lgX=0 B X∈R,tanX=1 C X∈R,X3﹥0
- 6双氧水(H2O2)是一种常用的消毒剂,也可用于实验室制氧气.请回答:(1)双氧水中氢、氧元素的质量比是______;(2
- 7阅读下列图片及说明,回答问题:图1:2005年4月27日上午9时,中国国民党主席连战率领的中国国民党大陆参访团拜谒中山陵
- 8阅读下面的文字,完成1~4题。 最耐寻味的是秋日天宇的闲云。那么淡淡然、悠悠然,悄悄远离尘间,对俗世悲欢扰攘,全然无动
- 9根据提示,默写出原诗文。 (1)长风破浪会有时, 。 (2)但愿人长久,
- 10听下面对话及问题,选择正确答案。(每小题读两遍)1. What"s the weather like today? [