名校
1 . 已知椭圆
且四个点
、
、
、
中恰好有三个点在椭圆C上,O为坐标原点.
(1)求椭圆C的方程;
(2)若直线l与椭圆C交于A,B两点,且
,证明:直线l与定圆
相切,并求出
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/443bf939e5a7d1227f04e3cca9c26882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0abd9f31687c7abbc364240e2449aa88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/830172777c7706f15592bcf6be5aaa03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7929bde6fe645250d469240ce417855e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba9ed99559e6905afc855964180b9c37.png)
(1)求椭圆C的方程;
(2)若直线l与椭圆C交于A,B两点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ccc37b189fa2cbc269ca0b233dac37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32b4ae7a86d71fc38883b7d42c1189e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
您最近一年使用:0次
2022-11-25更新
|
1278次组卷
|
7卷引用:福建省福州市八县(市)一中2022-2023学年高二上学期11月期中联考数学试题
福建省福州市八县(市)一中2022-2023学年高二上学期11月期中联考数学试题四川省成都市第七中学2022-2023学年高三上期一诊模拟考试数学(文)试题四川省成都市第七中学2022-2023学年高三上期一诊模拟考试数学(理)试题四川省成都市2022-2023学年高三上学期12月一诊模拟数学(文)试题福建省厦门外国语学校石狮分校、泉港区第一中学两校2023届高三上学期第四次联考数学试题福建省莆田市第二中学2023-2024学年高二上学期10月月考数学数学试题(已下线)专题10 圆锥曲线综合大题10种题型归类-【寒假分层作业】2024年高二数学寒假培优练(人教A版2019选择性必修第一册)
解题方法
2 . 如图,已知
为椭圆
的上焦点,
分别为上,下顶点,过
作直线
与椭圆交于
两点(不与
重合).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/aa3985ec-a02c-42d0-a623-1872f86a7b9b.png?resizew=176)
(1)若
,求直线
的方程;
(2)记直线
与
的斜率分别为
,求证:
为定值,并求出该定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db9c31b3f5538be8fe107e391b37c961.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.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/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/aa3985ec-a02c-42d0-a623-1872f86a7b9b.png?resizew=176)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e9c6116c6d559eb721af11cbeb724f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)记直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67351fe10fcfc3f9072eec4c60bfaaa5.png)
您最近一年使用:0次
3 . 已知轨迹
上任一点
与定点
的距离和
到定直线
的距离的比为
.
(1)求轨迹
的方程,并说明轨迹表示什么图形?
(2)设点
,过点
且斜率为
的动直线
与轨迹
交于
两点,直线
分别交圆
于异于点
的点
,设直线
的斜率为
,直线
的斜率分别为
.
①求证:
为定值;
②问:直线
是否过一定点,若过,请求出定点;若不过,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55307ac4f2f3cd3b60bdf21c533290e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d314b47d37c9f58e05ad11f3e68e27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b730ecafb4233ae861b235d24ab40ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
(1)求轨迹
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd4e2521541c5a5a8ea831545f1030c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85dde9d5e2426cc9da23014b91f03f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e265ce107592c375b78007107a9c00a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85dde9d5e2426cc9da23014b91f03f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2d18088eecb661fd38b53f6fd0b09a.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ee950caafdafed20520afb0ce328d1.png)
②问:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
4 . 已知椭圆
,
的离心率相同.点
在椭圆
上,
、
在椭圆
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/5f2eb408-6fd8-4e7d-9bb3-bc7b6dc6159b.png?resizew=207)
(1)若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517cc345e3e8a3c9405c0e240d8ca011.png)
求点
的轨迹方程;
(2)设
的右顶点和上顶点分别为
、
,直线
、
分别是椭圆
的切线,
、
为切点,直线
、
的斜率分别是
、
,求
的值;
(3)设直线
、
分别与椭圆
相交于
、
两点,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d424a04295723f4a974c4428950bd06.png)
若
是
中点,求证:
、
、
三点共线(
为坐标原点).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c845a5c4ab840aceef677fbe2b0cf47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ecc27514f0e4af04106cf02c40c3b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522230546d4b802094e86ceb48c2ba38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4f150ab98bde511e0f65d9bafab031.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/5f2eb408-6fd8-4e7d-9bb3-bc7b6dc6159b.png?resizew=207)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517cc345e3e8a3c9405c0e240d8ca011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05250abe6da85eb0b555948d7dbaf317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522230546d4b802094e86ceb48c2ba38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cdc08e1c4a04a18d5ecea03393e36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4f150ab98bde511e0f65d9bafab031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cdc08e1c4a04a18d5ecea03393e36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4c8b6a3a27a6713d62b8206151f838.png)
(3)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4f150ab98bde511e0f65d9bafab031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d424a04295723f4a974c4428950bd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05250abe6da85eb0b555948d7dbaf317.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
您最近一年使用:0次
2022-11-19更新
|
462次组卷
|
2卷引用:上海市杨浦区复旦大学附属中学2022-2023学年高二上学期期中数学试题
名校
解题方法
5 . 设椭圆
的左焦点为
.过
且倾斜角为
的直线与椭圆交于
两点,且
.
(1)求证:
,并求椭圆C的方程;
(2)设
是椭圆C上顺时针依次排列的四个点,求四边形
面积的最大值并计算此时的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4e568d9cd57c442f011a787ab8aaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab3c7105155f75395616d5053f8d5d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ac00c0db17b7bf34f758f73cd4c6a7.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88436db65082af86a282cb5f1c77e0dc.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f33dcb9bc455a11ca330cdc256c476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96198405db093eb43952282a69332f92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca56d0c86f552da62e0f5cfd4cfe1802.png)
您最近一年使用:0次
解题方法
6 . 已知椭圆
:
(
)的离心率为
,且
.
(1)求椭圆
的方程;
(2)过点
且斜率不为0的直线
与
自右向左依次交于点
,
,点
在线段
上,且
,求证:点
横坐标为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9f817ad57fb668b829e18dfd21dc2a.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af74113f38fffeed8075e57d7f9d2533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ffcef281db0f6e2f9b0b9580fa6eaba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
解题方法
7 . 已知椭圆
的右顶点坐标为
,左、右焦点分别为
,且
,
(1)求椭圆
的方程;
(2)若直线L与椭圆
相切,求证:点
到直线L的距离之积为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e31f17d3eae2f76500ee2e8f955865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d295a4cc3a58f9f38ee98337313c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2644e9f73e5871db934fdafc431d675.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)若直线L与椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
您最近一年使用:0次
解题方法
8 . 已知椭圆
的离心率为
,且
.
(1)求椭圆E的方程;
(2)过点
且斜率不为0的直线l与E自右向左依次交于点A,B,点Q在线段AB上,且
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a200ca2c4af794f4d1c6a5443830b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9f817ad57fb668b829e18dfd21dc2a.png)
(1)求椭圆E的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af74113f38fffeed8075e57d7f9d2533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ffcef281db0f6e2f9b0b9580fa6eaba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5215b714cde3ed7790b3ed4f6711c3.png)
您最近一年使用:0次
名校
解题方法
9 . 已知椭圆
:
(
)的离心率为
,
是椭圆
的左,右焦点,点
是椭圆上任意一点且满足
.
(1)求椭圆方程;
(2)设
为椭圆右顶点,过点
的直线
与椭圆
交于
,
两点(异于
),直线
,
分别交直线
于
,
两点.求证:
,
两点的纵坐标之积为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f595683f69d5d6b5ca76408b0ff6ff17.png)
(1)求椭圆方程;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09245fd7604997221b9a1a6e8fb752f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05a8c60eb762b0951c61153fc17ba91b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
您最近一年使用:0次
2022-11-10更新
|
548次组卷
|
3卷引用:北京市昌平区第二中学2023届高三上学期期中考试数学试题
名校
解题方法
10 . 已知椭圆
过点
,且离心率为
.设
,
为椭圆
的左、右顶点,
为椭圆上异于
,
的一点,直线
,
分别与直线
相交于
,
两点,且直线
与椭圆
交于另一点
.
(1)求椭圆
的标准方程;
(2)求证:直线
与
的斜率之积为定值;
(3)判断三点
,
,
是否共线?并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495bb3e5a3a9d35f5c9f0cf1f5d51876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
(3)判断三点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
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