题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134045-19808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134045-46599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134045-25591.png)
(1)求焦点F2的轨迹
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134046-50704.png)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134046-13627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134046-50704.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134046-84567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134046-77168.png)
解析
试题分析:(1)因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134047-25217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134047-16230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134047-85341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134047-73011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134048-38434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134048-91449.png)
(2)由(1)得曲线的方程
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134048-47200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134048-59807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134049-67886.png)
消去
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134049-24766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134049-28502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134049-74438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134049-74438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134050-99193.png)
另外,由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134050-15214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134050-14177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134050-99193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134050-75188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134050-21995.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134047-16230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134051-46560.png)
故轨迹
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134051-97412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134048-38434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134048-91449.png)
设其方程为:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134051-64847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134051-60496.png)
故轨迹方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134046-84567.png)
(2)由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134052-45232.png)
方程
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134049-28502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134049-74438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134052-27498.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134052-95288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134052-55041.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134053-64098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134053-20879.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134053-95746.png)
整理得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134053-67725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134054-95446.png)
由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134054-72914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134054-82943.png)
由(2)、(3)知
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134054-11676.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134055-58256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134055-55954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134055-40111.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134050-21995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134046-77168.png)
核心考点
试题【已知椭圆C的两个焦点分别为,且点在椭圆C上,又.(1)求焦点F2的轨迹的方程;(2)若直线与曲线交于M、N两点,以MN为直径的圆经过原点,求实数b的取值范围.】;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/20191023/20191023134033-24012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134034-64967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134034-65655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134034-75839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134034-96179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134035-91554.png)
(1)(ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134035-19763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134035-32255.png)
(2)在曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134035-32255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134035-80358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134036-68109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134036-47467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134036-76827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134036-75063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134037-25616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134037-27285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134017-91632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134018-17055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134018-69350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134018-33653.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134017-91632.png)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134018-21798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134019-79722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134017-91632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134019-88011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134019-80636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134019-17003.png)
的垂直平分线过定点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134019-61926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134020-15569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134006-73978.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134006-73263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134006-23178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134007-58336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134007-14178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134006-73978.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134007-14178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134007-74343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134007-91479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134007-52310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134007-28348.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134006-73978.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134008-18098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133948-99242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133948-32426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133949-81234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133949-38841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133949-63139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133949-38841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133949-78080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133950-75230.png)
(1)求椭圆的方程;
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133950-64205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133927-60179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133927-74335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133927-56427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133927-60179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133928-58537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133928-84823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133928-58537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133928-36297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133928-88848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133929-43405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133929-23236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133928-58537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133929-21359.png)
(1)求曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133928-58537.png)
(2)试探究
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133929-96627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133930-70256.png)
(3)记
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133930-50667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133930-90485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133930-30643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133931-45116.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133931-84225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133931-64262.png)
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