名校
1 . 椭圆
的长轴长与焦距之差等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a709c455312c7da4eda2b830bf9489.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知点
在椭圆
上,
,
是该椭圆的两个焦点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93deae229a51e233e5f6e88a1ac450e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b49bad7aa1af394119d46b5a7bc72.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
3 . 已知椭圆C:
的一个焦点为
,则k的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d5765dec5a1d9e7d6c260287dbab80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
A.4 | B.8 | C.10 | D.12 |
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名校
4 . 双曲线
的焦距为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565bc68d208cd5e0c90a32851faf3814.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 椭圆
的焦距为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9d19b083ab9e3aa3706e0fe6e650944.png)
A.2 | B.4 | C.6 | D.8 |
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解题方法
6 . 已知椭圆C:
的右焦点为F,过F的直线与C交于A、B两点,其中点A在x轴上方且
,则B点的横坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade0c328cc3442c26e5bf33d9134c071.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024·全国·模拟预测
7 . 已知椭圆
的左顶点为A,左焦点为
为该椭圆上一点且在第一象限,若射线
上存在一点
,使得
,线段
的垂直平分线与射线
交于点
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e2d26797ae7107bb24f6319f256cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d945b17623cd01fa90180c4d4fca91f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09045fd980b56bc7bea48e8df9373550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c96d2299ce5b1406541d2401a6ece1.png)
A.1 | B.2 | C.![]() | D.![]() |
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2024高三·全国·专题练习
8 . 设P是椭圆
上的点,F1,F2为其两焦点,则满足
的点P的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb4717d7fa6d522090c5e949f650bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b776104e60db708a8fd1baa1a2cec1e0.png)
A.0 | B.1 | C.2 | D.4 |
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名校
解题方法
9 . 已知点
为坐标原点,椭圆
的左、右焦点分别为
,
,点
在椭圆上,设线段
的中点为
,且
,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb4717d7fa6d522090c5e949f650bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cefc49124f218dbe3ea5ac712b231e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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