23-24高二下·上海·期末
1 . 如图,已知点
为椭圆
在第一象限内的任意一点,过椭圆的右顶点
和上顶点
分别作与
轴和
轴的平行线交于
,过
引
、
的平行线交
于
,交
于
,交
于
、
,矩形
的面积是
,三角形
的面积是
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb917816706e46935cf225893e3ab3.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b747db7eaf469c6d1607e4b0d028299f.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3029ea5516e56e8d20594c71929624f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37793a3a810e823e10c340986f55ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb917816706e46935cf225893e3ab3.png)
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2024高二下·上海·专题练习
解题方法
2 . 设
、
分别是椭圆
的左、右焦点,点
在椭圆
上,且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beed95f1a336c1b38495b037b9b9386d.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/0ee9ce51f55008258322bbe19810f62d.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/2ce67f2138e7295cd72d66b2908cb6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beed95f1a336c1b38495b037b9b9386d.png)
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2024高二下·上海·专题练习
3 . 长轴的长是4,焦距是2,中心在原点的椭圆的标准方程是________
您最近一年使用:0次
4 . 设
为曲线
:
上一点,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b0073fed28fd0caeade3216a5a5b2a.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/7349696cf14aca140c1e74603caf66a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4c1016bf87b416cff0f3fa79d3ef9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/513eafd10fa1ec0196562865517e0b09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216fecd4e03907236a368d8a70d919a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b0073fed28fd0caeade3216a5a5b2a.png)
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名校
解题方法
5 . 焦点在x轴上,长轴为8、离心率为
的椭圆的标准方程为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
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名校
解题方法
6 . 若椭圆的焦点在
轴上,焦距为
,且经过点
则该椭圆的标准方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6bfd94f6f2f41148d785f6b8a0181d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa46b8c3adf48ee8656ef48272d0eff5.png)
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解题方法
7 . 椭圆
的焦点在
轴上,离心率大于
,且
,
,则满足题意的椭圆的个数为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1542c48f287494f0c5f70a5c9eb6bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4569c9227210f58d4aaede99168f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752543e119e321159fec4a45157fcdeb.png)
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8 . 已知椭圆以原点为中心,焦点在
轴上,长半轴的长为6,离心率为
,则椭圆的标准方程__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
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9 . 在平面直角坐标系
中,椭圆
的左,右焦点分别为
,椭圆
的弦
与
分别平行于
轴与
轴,且相交于点
.已知线段
的长分别为
,则
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fcb20a6972108871adbf284f9e5006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d4aa43f4bf9ade4a8fba4e4a29e924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c28f88812282308b664d3bfc276150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ffdc208786577c5c51e9ecfb6a8ce2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
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10 . 定义离心率是
的椭圆为“黄金椭圆”.已知椭圆
是“黄金椭圆”,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
________ .若“黄金粗圆”
的两个焦点分别为
,
为椭圆
上异于顶点的任意一点,点
是
的内心,连接
并延长交
于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978311c18754ba498c1ee0dce2f89482.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029d393bb07b7140905b85f550519de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc06a3feb827561cbcc8c8b80a51539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5076829e649b3f3866d4a7e07a5713e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6c98df788c3804e576c323b628b86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978311c18754ba498c1ee0dce2f89482.png)
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