解题方法
1 . 如图,已知椭圆
的左、右焦点分别为
,点M,N在
上,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50ba772d5b33715aefa57d448951b9ec.png)
,则
的离心率为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.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/50ba772d5b33715aefa57d448951b9ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda28e418f5c1d8e13919a394036f3c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
解题方法
2 . 已知
是椭圆
的左、右焦点,直线
与椭圆相交于
两点,
的平分线交
于点
,且
,则椭圆
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3016baf1a9ce777f16ea9ce469b2510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba129eade3c36a96f86d0d383631c3c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e1d2e2c9cd42150c863bf111ce61dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
您最近一年使用:0次
2024-02-28更新
|
297次组卷
|
2卷引用:黑龙江省哈尔滨市第九中学校2023-2024学年高二下学期4月月考数学试题
名校
解题方法
3 . 已知
是椭圆
的两个焦点,
为椭圆上一点.且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9055f58bf6bb8d6c55dcc14b2ae51b4c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b971902999be2472828cbea1f1d5725a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c88476c0b0200d6f8ef8e82eb0db784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9055f58bf6bb8d6c55dcc14b2ae51b4c.png)
您最近一年使用:0次
名校
解题方法
4 . 已知椭圆
的左,右焦点分别为
,过点
且垂直于
轴的直线与椭圆交于
两点,
分别交
轴于
两点,
的周长为6,过
作
外角平分线的垂线与直线
交于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ce9da1390cca752cd508e1f4190df6.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/013fcf67631b4a27d4eaee7957b29ac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbaa023d0248161917794c5592fd3a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fea5f7430235e65d2c2e6b2ecc46712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e9fa3f5593dd7ee0151ab1df89f04a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ce9da1390cca752cd508e1f4190df6.png)
您最近一年使用:0次
2024-01-05更新
|
930次组卷
|
2卷引用:黑龙江省鸡西市第一中学校2024届高三上学期期末数学试题
名校
5 . 已知动点
在椭圆
上,过点P作圆
的切线,切点为M,则
的最小值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e78f1a9cc4dedc05c175ab99b288b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7da196171d6e7da45d6636e91bd59d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d341082cc54b1cb7a790af9ec4a365d.png)
您最近一年使用:0次
2023-11-15更新
|
737次组卷
|
3卷引用:黑龙江省哈尔滨师范大学附属中学2023-2024学年高二上学期期末考试数学试题
名校
解题方法
6 . 已知椭圆
的两个焦点分别为
,椭圆上一点
满足
,且
,则椭圆的离心率为___________ .
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093bec291d374725e9e4810847568a72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb6eb6069780a4a57145d8fae1c6b48.png)
您最近一年使用:0次
2023-11-13更新
|
1072次组卷
|
2卷引用:黑龙江省哈尔滨市黑龙江省实验中学2023-2024学年高二上学期12月月考数学试题
名校
7 . 已知椭圆
:
的左,右焦点分别为
,
,过点
且垂直于
轴的直线与椭圆交于
、
两点,
、
分别交
轴于
、
两点,
的周长为4.过
作
外角平分线的垂线与直线
交于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ce9da1390cca752cd508e1f4190df6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e2d26797ae7107bb24f6319f256cc5.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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3656055f5256cd06e636ea96e9f89c2.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fea5f7430235e65d2c2e6b2ecc46712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e9fa3f5593dd7ee0151ab1df89f04a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ce9da1390cca752cd508e1f4190df6.png)
您最近一年使用:0次
2023-11-12更新
|
662次组卷
|
7卷引用:黑龙江省哈尔滨市黑龙江省实验中学2023-2024学年高二上学期12月月考数学试题
黑龙江省哈尔滨市黑龙江省实验中学2023-2024学年高二上学期12月月考数学试题湖北省武汉市部分重点中学2023-2024学年高二上学期期中联考数学试题湖北省部分县市重点中学温德克英名校联盟2023-2024学年高二上学期11月期中综合性质量监测数学试卷福建省南平第一中学2023-2024学年高二上学期第三次月考数学试卷(已下线)高二数学上学期第三次月考模拟卷(空间向量与立体几何+直线与圆的方程+圆锥曲线方程+数列)(原卷版)(已下线)黄金卷05福建省宁德市古田县第一中学2023-2024学年高二上学期第二次月考数学试题
名校
解题方法
8 . 对于方程
,若该方程表示焦点在x轴上的椭圆,则实数m的取值范围为______ ;椭圆
的焦点为
、
,椭圆上的点P满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc35834c7d73622523c90b62e4e36de.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb8acc28c1b4d6ac0efbcace4d304eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a309c6a2396f84212dbe6ece1a94cfe7.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/d124b231bf2cd3746f35e6c68cd7178f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc35834c7d73622523c90b62e4e36de.png)
您最近一年使用:0次
名校
9 . 已知椭圆C:
的左、右焦点分别为
,
,点P是椭圆C上的一点,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b939a0c044b842cdc258e516a6d1de.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/6d6318dc19d078597bb857e262aa719c.png)
您最近一年使用:0次
2023-11-04更新
|
433次组卷
|
6卷引用:黑龙江省绥化市绥棱县第一中学2023-2024学年高二上学期12月月考数学试题
名校
解题方法
10 . 过椭圆
的右焦点F且与长轴垂直的弦的长为
,过点
且斜率为
的直线与
相交于
两点,若
恰好是
的中点,则椭圆
上一点
到
的距离的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af2fdf1944afebb51cb6a5e6c74aadd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4754fbe523ca63eba3810a3f88f37df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
您最近一年使用:0次
2023-11-01更新
|
785次组卷
|
6卷引用:黑龙江省哈尔滨市第四中学校2023-2024学年高二上学期11月月考数学试题