1 . 以椭圆
的中心为顶点,且以该椭圆的右焦点为焦点的抛物线方程是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e78f1a9cc4dedc05c175ab99b288b9f.png)
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名校
2 . 已知椭圆
,则椭圆的焦点坐标是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de01dafd3c9a354d59eb35a7242b016.png)
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2019-03-04更新
|
498次组卷
|
3卷引用:【市级联考】江苏省泰州市2018-2019学年高二第一学期期末考试数学(理科)试题
名校
3 . 已知抛物线的顶点是椭圆
的中心,焦点是椭圆的右焦点,则抛物线方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e78f1a9cc4dedc05c175ab99b288b9f.png)
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2020-01-10更新
|
315次组卷
|
2卷引用:上海市复兴高级中学2015-2016学年高二上学期期末数学试题
名校
4 . 已知椭圆
的一个焦点恰为抛物线
的焦点
,设抛物线的准线
与
轴的交点为
,过
的直线与抛物线交于
,
两点,若以线段
为直径的圆过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c190e8bb81a4d26cf638ed246193cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2f156b05838deaae6a35acad242af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
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5 . 已知椭圆
有两个顶点分别为
,则此椭圆的焦点坐标是____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36056e0282096b059f3487bfd37e3037.png)
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6 . 椭圆
的焦距长是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f64b7ab668d61bcb8ec6d195c672a81e.png)
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2018-11-25更新
|
714次组卷
|
2卷引用:【全国百强校】宁夏石嘴山市第三中学2018-2019学年高二上学期期中考试数学(文)试题
7 . 以椭圆
的左焦点
为圆心,过此椭圆右顶点
的圆截直线
所得的弦长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e78f1a9cc4dedc05c175ab99b288b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/072f6d97940ca9141ce15b9d5fd484d5.png)
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8 . 已知椭圆
与双曲线
有共同的焦点
,
是椭圆和双曲线的一个交点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764771d1c0899ff99b8c9936edc48fe9.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1542c48f287494f0c5f70a5c9eb6bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a49a61ebf53a4c5c63e435418cf5405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764771d1c0899ff99b8c9936edc48fe9.png)
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2020-01-15更新
|
421次组卷
|
6卷引用:2014-2015学年山西省大同一中高二上学期期末理科数学试卷
9 . 设椭圆
的左、右焦点分别为
,M为椭圆上异于长轴端点的一点,
,
的内心为I,则
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82766cfd2b7c59c7fac5b827ae5863b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a12d05e4c39da32f2a5a2bb1cbab8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ff410a277986fc6045c1cb36f89e34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ec4af4144df7cabac534fc476b914f.png)
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10 . 设
,
是椭圆
的两个焦点,
为
上一点,且
,则
的内切圆的半径![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3db673c03e01726ecdad3e70ef9af0.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eaee7bd21882f9875d2bd1a5a54ef1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f184f67f54563eedd83abc2397be081b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7155284dd936a234de37b151850503d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3db673c03e01726ecdad3e70ef9af0.png)
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