1 . 曲线
上任意一点
到点
的距离与它到直线
的距离之比等于
,过点
且与
轴不重合的直线
与
交于不同的两点
.
(1)求
的方程;
(2)求证:
内切圆的圆心在定直线上.
![](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/63309dbc3612815f6dbdee23d9a10adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/363598fd39f2269952dc6ddd1201346c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/01c74a907dda6bb7d9d56d009d9df253.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004104bafb5f30338123d4ea2b7fedde.png)
您最近一年使用:0次
2021-07-26更新
|
1778次组卷
|
7卷引用:福建省莆田市2021届高三高中毕业班3月第二次教学质量检测数学试题
福建省莆田市2021届高三高中毕业班3月第二次教学质量检测数学试题(已下线)9.6 三定问题及最值(精讲)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)(已下线)专题9.7 圆锥曲线综合问题 2022年高考数学一轮复习讲练测(新教材新高考)(讲)(已下线)第27讲 圆锥曲线中定直线问题-【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)山东省青岛市第五十八中学2024届高三上学期期末数学试题广东省佛山市顺德区华侨中学2024届高三下学期港澳班2月开学考试数学试题(已下线)专题18 圆锥曲线高频压轴解答题(16大题型)(练习)
2 . 设点
、
分别是椭圆C:
的左、右焦点,且
,点M、N是椭圆C上位于
轴上方的两点,且向量
与向量
平行.
(1)求椭圆C的方程;
(2)当
时,求
的面积;
(3)当
时,求直线
的方程.
![](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/36fcadd63cbad0c7b883e04507232ac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba39e809fac8f3ccb81f5bc4a71bec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e8c53921a9bbb356d2da12fde7e3526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58caa827baae837a041c9b05f31c46e.png)
(1)求椭圆C的方程;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67fd31a29214fa32bf0422b452a22416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bad3be8e3fdeda3a12251d3751715e1.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d8098e85e1d02fac617d1222fb8e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbdbe9a17a23c44cec8c7475c4dc1a9.png)
您最近一年使用:0次
名校
解题方法
3 . 已知抛物线
的焦点为
,准线为
,
与
轴交点为
,点
在抛物线
上,过点
作
于点
,如图
,已知
,且四边形
的面积为
.
![](https://img.xkw.com/dksih/QBM/2021/7/13/2763408960036864/2764336898629632/STEM/a761ffddffd245aeb82c586eefb272de.png?resizew=186)
![](https://img.xkw.com/dksih/QBM/2021/7/13/2763408960036864/2764336898629632/STEM/cef9b87df7f6420ea93950e903683001.png?resizew=193)
(1)求抛物线
的方程;
(2)若正方形
的三个顶点
都在抛物线
上(如图2),求正方形
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1950b0aaa95bd7563bdf14314016bbb4.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/0f85fca60a11e1af2bf50138d0e3fe62.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/ac047e91852b91af639feec23a9598b2.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/b33a3f384acb53b5a21521a77ac0b1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e961d22c4756229a7cde20c3805e828f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a435a451dde3e112a4da39b538bcf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180ea775f2af05650404d764384e7faa.png)
![](https://img.xkw.com/dksih/QBM/2021/7/13/2763408960036864/2764336898629632/STEM/a761ffddffd245aeb82c586eefb272de.png?resizew=186)
![](https://img.xkw.com/dksih/QBM/2021/7/13/2763408960036864/2764336898629632/STEM/cef9b87df7f6420ea93950e903683001.png?resizew=193)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2021-07-15更新
|
508次组卷
|
2卷引用:江西省景德镇一中2020-2021学年高二下学期期末数学(2班)试题
名校
解题方法
4 . 已知椭圆
(
)经过点
,且离心率为
.
(1)求椭圆的方程;
(2)椭圆长轴上两个动点
,
满足
,直线
,
分别交椭圆于点
,
(均不同于
),求证:直线
的斜率为定值.
![](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/1f13bf66fc845b115de4ec45b4be0e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆的方程;
(2)椭圆长轴上两个动点
![](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/c5929048ce5167abc4750589f2e21841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
名校
解题方法
5 . 已知焦点为F的抛物线
经过圆
的圆心,点E是抛物线C与圆D在第一象限的一个公共点,且
.
(1)分别求p与r的值;
(2)直线
交C于A,B两点,点G与点A关于x轴对称,直线
分别与直线
交于点M,N(O为坐标原点),求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9224d52d0149a26b4f2cd632de11c29c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/601fdaa86a1ecc821be53f7e50715bc6.png)
(1)分别求p与r的值;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a8d6991873e79b298984a95b8954b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1368124c5c0c302ad93446f819ac427f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6148705a9bd5dae3e0e0f06de28030d1.png)
您最近一年使用:0次
2021-07-12更新
|
1600次组卷
|
6卷引用:广东省2021届高三下学期4月联考数学试题
广东省2021届高三下学期4月联考数学试题(已下线)2022届高三普通高等学校招生全国统一考试数学信息卷(七)(已下线)专题08 《圆锥曲线与方程》中的解答题压轴题(2)-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册) (已下线)专题20 椭圆、抛物线(解答题)-备战2022年高考数学(理)母题题源解密(全国甲卷)(已下线)专题21 椭圆、抛物线(解答题)-备战2022年高考数学(文)母题题源解密(全国甲卷)四川省泸州市泸县第二中学2022届高三下学期二诊模拟考试数学(文)试题
名校
解题方法
6 . 阿波罗尼斯是古希腊著名数学家,他的主要研究成果集中在他的代表作《圆锥曲线》一书中.阿波罗尼斯圆是他的研究成果之一,指的是已知动点
与两定点
,
的距离之比
,
是一个常数,那么动点
的轨迹就是阿波罗尼斯圆,圆心在直线
上.已知动点
的轨迹是阿波罗尼斯圆,其方程为
,定点分别为椭圆
的右焦点
与右顶点
,且椭圆
的离心率为
.
的标准方程;
(2)如图,过右焦点
斜率为
的直线
与椭圆
相交于
,
(点
在
轴上方),点
,
是椭圆
上异于
,
的两点,
平分
,
平分
.
①求
的取值范围;
②将点
、
、
看作一个阿波罗尼斯圆上的三点,若
外接圆的面积为
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c216350e17d9c2923bbb5a88857d17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343615457604ef10fe990dabd87de36b.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c7316976a221c051a2c14df80b1347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)如图,过右焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f90d13daca1f0d9f673d9b9b748499.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda40d4d62aa28f9e5f877bbea5ce511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1492f2abc84300b30768aec34952250e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963111aff6952322dfaca75ae069873c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf0d9011ae8816a8368189bbd4942e5.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bda2c1e94af9c9c4ea5b0ab763a2f37.png)
②将点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40631b29484bd9e39b6d26791dc05a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7de20fe4ddee31adafad5699fb84b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2021-07-12更新
|
5225次组卷
|
12卷引用:重庆市巴蜀中学2020-2021学年高二下学期期末数学试题
重庆市巴蜀中学2020-2021学年高二下学期期末数学试题(已下线)专题12 圆锥曲线的方程的压轴题(二)-【尖子生专用】2021-2022学年高二数学考点培优训练(人教A版2019选择性必修第一册)(已下线)第3章 圆锥曲线与方程 单元综合检测(能力提升)(单元培优)-2021-2022学年高二数学课后培优练(苏教版2019选择性必修第一册)(已下线)专题08 《圆锥曲线与方程》中的解答题压轴题(2)-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册) (已下线)专题1 阿波罗尼斯圆及其应用 微点4 阿波罗尼斯圆与圆锥曲线重庆市南开中学校2023届高三上学期期末数学试题安徽省合肥一六八中学等学校2024届高三上学期名校期末联合测试数学试题安徽“耀正优+”2024届高三名校上学期期末测试数学试题(已下线)圆锥曲线新定义(已下线)信息必刷卷01(江苏专用,2024新题型)河南省信阳市新县高级中学2024届高三考前第三次适应性考试数学试题河南省郑州市第一中学2024届高三下学期高考考前全真模拟考试数学试题
解题方法
7 . 已知点
在抛物线
上,过点
作抛物线的切线与
轴交于点
,抛物线的焦点为
,若
,则
的坐标为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5590fa7c70bd0a95eb7179a39d2157f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f80a9b3e17fca568e05477eaf317a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
解题方法
8 . 在平面直角坐标系
内,已知抛物线
的焦点为
,
为平面直角坐标系内的点,若抛物线
上存在点
,使得
,则称
为
的一个“垂足点”.
(1)若
点有两个“垂足点”为
和
,求
点的坐标;
(2)是否存在
点,使得
点有且仅有三个不同的“垂足点”,且
点也是双曲线
上的点?若存在,求出
点的坐标;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfcd675c10cbf967cdb2247bfe49929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63a8a4251367266b552521393d8e35a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910fd19037c74d8fccdc2553d14a15ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)是否存在
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cafef3a82bf78a856f0f94d9e9b1ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2021-06-08更新
|
1867次组卷
|
5卷引用:江苏省南京师范大学《数学之友》2021届高三下学期二模数学试题
江苏省南京师范大学《数学之友》2021届高三下学期二模数学试题(已下线)2.3 双曲线(提高练)-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)(已下线)3.3.2 (整合练)抛物线的简单几何性质-2021-2022学年高二数学考点同步解读与训练(人教A版2019选择性必修第一册)(已下线)专题03 平面解析几何-备战2022年高考数学母题题源解密(新高考版)(已下线)查补易混易错点06 解析几何-【查漏补缺】2022年高考数学三轮冲刺过关(新高考专用)
名校
9 . 如图,已知
和抛物线
是圆
上一点,M是抛物线
上一点,F是抛物线
的焦点.
![](https://img.xkw.com/dksih/QBM/2021/6/3/2735096321589248/2735881169477632/STEM/8efff9db-ef21-4bae-9de0-f271f0870ffd.png?resizew=181)
(1)当直线
与圆
相切,且
时,求
点的坐标;
(2)过P作抛物线
的两条切线
分别为切点,求证:存在两个
,使得
面积等于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77208a2d8eef1856d213fde4b88805f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451e94c94277ef7d8e74f3dfef159880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://img.xkw.com/dksih/QBM/2021/6/3/2735096321589248/2735881169477632/STEM/8efff9db-ef21-4bae-9de0-f271f0870ffd.png?resizew=181)
(1)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ced5c43c74f54a3a7ceb1bdf6260a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过P作抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270dcf5882716678ef574e71273e0a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
您最近一年使用:0次
2021-06-04更新
|
1970次组卷
|
5卷引用:浙江省杭州市高级中学2021届高三下学期高考仿真模拟数学试题
浙江省杭州市高级中学2021届高三下学期高考仿真模拟数学试题江西省泰和中学2021-2022学年高二上学期第一次段考数学(理)试题(已下线)第4讲 圆锥曲线中的最值、范围、存在性问题(练)-2022年高考数学二轮复习讲练测(新教材·新高考地区专用)宁夏回族自治区银川一中2022届高考三模数学(理)试题福建省厦门双十中学2022届高三下学期高考热身考试数学试题
10 . 已知P是椭圆
上的动点,P到坐标原点的距离的最值之比为
,P到焦点的距离的最值之差的绝对值为2.
(1)求椭圆C的方程;
(2)若D为椭圆C的弦AB的中点,
,证明:
的面积为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
(1)求椭圆C的方程;
(2)若D为椭圆C的弦AB的中点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36fad3a3858bb02751b71ef187d18e35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
您最近一年使用:0次