解题方法
1 . 在平面直角坐标系中,
,
,曲线E上的动点P满足
,直线l过D交曲线E于A、B两点.
(1)求曲线E的方程;
(2)当
时,A在x轴上方时,求A、B的坐标;
(3)设
,
,P是曲线E上的任意一点,若
,求证:动点
在定圆上运动.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49dd31773f55719ebd91ed3389d0de68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269a51e0f77f63bae2df3dc8b1d4f455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2d0e94e4f601358fece43e29cbed75.png)
(1)求曲线E的方程;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ba132ca9dd0d4a050659aef3c9b26.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/695063807fd43c5cce4771d67874ad6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1deeb2383161d42abd7448d361631b56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2189926cef60e7a3af90774782f84694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5209cf3b0c9a91e93f73aa93cab13d18.png)
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名校
解题方法
2 . 已知椭圆
:
的离心率为
,短轴长为2.
(1)求
的方程;
(2)过点
且斜率不为0的直线
与
自左向右依次交于点
,
,点
在线段
上,且
,
为线段
的中点,记直线
,
的斜率分别为
,
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad3a4d8eb0a4f3dd417124a19f60066.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/e1f2ade1d986cefa2a3e96590306490d.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/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.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/b4757181824e15e0f21e5bdd55448783.png)
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2022-09-06更新
|
1486次组卷
|
10卷引用:江苏省南通市海安市2022-2023学年高三上学期期初学业质量监测数学试题
江苏省南通市海安市2022-2023学年高三上学期期初学业质量监测数学试题广东省深圳市福田区外国语高级中学2023届高三上学期第二次调研数学试题(已下线)专题39 圆锥曲线中的定点、定值问题-1广东省普宁市华美实验学校2023届高三上学期第二次月考数学试题(已下线)3.3(附加3)圆锥曲线定点与定值问题-2022-2023学年高二数学《基础·重点·难点 》全面题型高分突破(苏教版2019选择性必修第一册)安徽省部分学校2023届高三下学期开学考试数学试题广东省揭阳市揭西县2022-2023学年高二上学期期末数学试题(已下线)第26讲 圆锥曲线中定值问题(2)宁夏回族自治区石嘴山市平罗县平罗中学2023届高三二模理科数学试题(已下线)高二数学第一学期期期末押题密卷03卷
名校
解题方法
3 . 设
分别是圆
的左、右焦点,M是C上一点,
与x轴垂直.直线
与C的另一个交点为N,且直线MN的斜率为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821309f088a175c00dc0f4828334503d.png)
(1)求椭圆C的离心率.
(2)设
是椭圆C的上顶点,过D任作两条互相垂直的直线分别交椭圆C于A、B两点,过点D作线段AB的垂线,垂足为Q,判断在y轴上是否存在定点R,使得
的长度为定值?并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183b6a0cef4256c9696a5bca31053da5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b67528f875a6d4bac8bbf784f7b66a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821309f088a175c00dc0f4828334503d.png)
(1)求椭圆C的离心率.
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5fcce10d4243fb2a8351db179c2c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1abc6783970c158793a5e50d82e43f.png)
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2022-08-31更新
|
1868次组卷
|
8卷引用:湖南省部分校2022-2023学年高三上学期入学检测数学试题
湖南省部分校2022-2023学年高三上学期入学检测数学试题湖南师范大学附属中学2023届高三上学期第一次月考数学试题(已下线)专题8 求定点定值运算(提升版)(已下线)专题31 圆锥曲线的垂直弦问题-1江苏省扬州市邗江中学2022-2023学年高二上学期期中数学试题(已下线)第三章 圆锥曲线(单元综合测试)-【同步题型讲义】2022-2023学年高二数学同步教学题型讲义(人教A版2019选择性必修第一册)(已下线)第26讲 圆锥曲线中定值问题(1)(已下线)重难点突破08 圆锥曲线的垂直弦问题 (八大题型)
4 . 如图所示, 已知
两点的坐标分别为
,直线
的交点为
,且它们的斜率之积
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/30/ff3b18ce-e09e-4b78-b01b-f2801870a8f6.png?resizew=299)
(1)求点
的轨迹
的方程;
(2)设点
为
轴上 (不同于
)一定点, 若过点
的动直线与
的交点为
, 直线
与 直线
和直线
分别交于
两点, 求证:
的充要条件为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0586ffe4bc516265086c6b5eafd1eed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcaebaf8ceed245eba896f36d8ff14b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/30/ff3b18ce-e09e-4b78-b01b-f2801870a8f6.png?resizew=299)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016b6e707f75bfe9095a6f7caf4f3d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03533fc74743cce18c57438769a85a0d.png)
您最近一年使用:0次
名校
解题方法
5 . 已知椭圆
经过点
,且离心率
.
(1)求椭圆
的标准方程;
(2)直线
与椭圆
交于
两点,
为椭圆上顶点,直线
交直线
于
两点,已知
两点纵坐标之和为
.求证:直线
过定点,并求此定点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fe7eff7abfdd092b63c9c1b82d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075ba8c6fb5ef7288cd3fed425c8e69e.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc5bd66dd6d5e09ff0893a938aed56e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85dde9d5e2426cc9da23014b91f03f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47153fdd73c0661fa460130082e30929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
2022-08-12更新
|
2195次组卷
|
5卷引用:重庆市南开中学校2023届高三上学期7月考试数学试题
重庆市南开中学校2023届高三上学期7月考试数学试题广东省汕头市濠江区达濠华侨中学2023届高三上学期月考一数学试题(已下线)专题26 求动点轨迹方程 微点3 待定系数法求动点的轨迹方程(已下线)考向36 直线与圆锥曲线最全归纳(十六大经典题型)-2(已下线)第25讲 圆锥曲线直线圆过定点问题-【同步题型讲义】2022-2023学年高二数学同步教学题型讲义(人教A版2019选择性必修第一册)
6 . 已知中心在原点
的椭圆
的长轴长为
,且与抛物线
有相同的焦点.
(1)求椭圆
的方程;
(2)若点
的坐标为
,点
,
是椭圆
上的两点
点
,
,
不共线
,且
,证明直线
斜率存在时
过定点,并求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f436117499e8ba9cb034e2704fc0dd.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.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/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7caece8deb52fc5443cb0aac8a38b19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23711dc6a2e6e068a9f2287f8862600e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370abdf35cb8817d35b78eea892731ce.png)
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2022-08-04更新
|
913次组卷
|
5卷引用:云南省德宏州2022届高三上学期期末教学质量检测数学(理)试题
名校
7 . 已知椭圆
的离心率为
,且过点
.
(1)求椭圆
的方程;
(2)已知
、
分别是椭圆
的左、右顶点,
是直线
上不与
点重合的任意一点,
是坐标原点,与直线
垂直的直线
与
的另一个交点为
.求证:
、
、
三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fd87f23f8b0e1c74c7d20a05bfcf4fe.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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2022-08-01更新
|
1309次组卷
|
5卷引用:重庆市巴蜀中学2023届高三上学期适应性月考(一)数学试题
重庆市巴蜀中学2023届高三上学期适应性月考(一)数学试题(已下线)第08讲 直线与椭圆、双曲线、抛物线 (精讲)-3重庆市巴蜀中学校2023届高三上学期8月开学考数学试题(已下线)考向36 直线与圆锥曲线最全归纳(十六大经典题型)-2(已下线)专题33 圆锥曲线中的向量问题-2
名校
8 . 已知椭圆C:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
过点
且椭圆的左、右焦点与短轴的端点构成的四边形的面积为
.
(1)求椭圆C的标准方程;
(2)设A是椭圆的左顶点,过右焦点F的直线l1,与椭圆交于P,Q,直线AP,AQ与直线l2:x=4交于M,N,线段MN的中点为E,求证:EF⊥PQ.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434249d6640b0c1a712d215cf8b83d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de261e9b4defbc0be6440397031a87b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
(1)求椭圆C的标准方程;
(2)设A是椭圆的左顶点,过右焦点F的直线l1,与椭圆交于P,Q,直线AP,AQ与直线l2:x=4交于M,N,线段MN的中点为E,求证:EF⊥PQ.
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2022-07-20更新
|
440次组卷
|
3卷引用:贵州省黔东南州2021-2022学年度高二下学期期末联考数学(文)试题
2022高三·全国·专题练习
解题方法
9 . 过
的直线与椭圆
交于P,Q,过P作
轴且与椭圆交于另一点N,F为椭圆的右焦点,若
,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f8c1a051e1f2fbab734f5d050b9cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14a0a1ae0d7c62c353553c26a93920f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc2518c64be54c16908f868034d8fa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0522607eeb42a499c0f5b040bbdd42e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8597731fd0ebe0e47538c50518997112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f8c1a051e1f2fbab734f5d050b9cdf.png)
![](https://img.xkw.com/dksih/QBM/2022/7/19/3026157577314304/3026489335734272/STEM/85ab23052ee9418d98a8a44d46cc0724.png?resizew=273)
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2022高三·全国·专题练习
解题方法
10 . 如图,在平面直角坐标系
中,
、
分别是椭圆
的顶点,过坐标原点的直线交椭圆于
,
两点,其中点
在第一象限,过
作
轴的垂线,垂足为
,连接
,并延长交椭圆于点
,设直线
的斜率为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/31/0b88f1f0-de86-4dca-a9e8-f1ab58be531f.png?resizew=262)
(1)若直线
平分线段
,求
的值;
(2)当
时,求点
到直线
的距离
;
(3)对任意
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/d80b861ba40387cb2bcd04945f5a371a.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/31/0b88f1f0-de86-4dca-a9e8-f1ab58be531f.png?resizew=262)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.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/5c02bc0c74292b1e8f395f90935d3174.png)
(3)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83640592853a53872d7af69c0cffc1bb.png)
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