1 . 在平面直角坐标系
中,原点为
,抛物线
的方程为
,线段
是抛物线
的一条动弦.
(1)求抛物线
的准线方程;
(2)求
,求证:直线
恒过定点;
(3)过抛物线的焦点
作互相垂直的两条直线
、
,
与抛物线交于
、
两点,
与抛物线交于
、
两点,
、
分别是线段
、
的中点,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61cfc930bd4c103e11d75917c6fba49b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)过抛物线的焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.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/3f6f17bc385bafb37e8f964e5eb99cd0.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecfb02e157819a2bdd0f2790cbc825e9.png)
您最近一年使用:0次
2021-08-14更新
|
996次组卷
|
3卷引用:上海市浦东新区2020-2021学年高二下学期期中数学试题
上海市浦东新区2020-2021学年高二下学期期中数学试题广东省普宁市第二中学2022届高三上学期第一次月考数学试题(已下线)专题03 圆锥曲线面积问题-【解题思路培养】2022年高考数学一轮复习解答题拿分秘籍(全国通用版)
名校
解题方法
2 . 已知F为抛物线C:x2=2py(p>0)的焦点,点M在抛物线C上,O为坐标原点,△OFM的外接圆与抛物线C的准线相切,且该圆面积为
.
(1)求抛物线C的方程;
(2)设A(2,1),B是抛物线C上异于A的一点,直线AB与直线y=x-2交于点P,过点P作x轴的垂线交抛物线C于点N,证明:直线BN恒过一定点,并求出该定点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6cb35c87a567055051587ead5f60c7.png)
(1)求抛物线C的方程;
(2)设A(2,1),B是抛物线C上异于A的一点,直线AB与直线y=x-2交于点P,过点P作x轴的垂线交抛物线C于点N,证明:直线BN恒过一定点,并求出该定点的坐标.
您最近一年使用:0次
2021-06-01更新
|
559次组卷
|
3卷引用:云南省昆明市第一中学2021届高三第九次考前适应性训练数学(文)试题
名校
解题方法
3 . 已知双曲线
:
的右焦点
与抛物线
的焦点重合,一条渐近线的倾斜角为
.
(1)求双曲线
的方程;
(2)经过点
的直线与双曲线的右支交于
两点,与
轴交于
点,点
关于原点的对称点为点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb74c0c2d1e5305cf55cfb9605929268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e25a85c099f11967079076c8f0258ef.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119efeb12f67c9507a77fc7a3089523c.png)
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2021-07-11更新
|
2742次组卷
|
15卷引用:山东省泰安肥城市2021届高三高考适应性训练数学试题(二)
山东省泰安肥城市2021届高三高考适应性训练数学试题(二)(已下线)2.3 双曲线(基础练)-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)专题03 圆锥曲线面积问题-【解题思路培养】2022年高考数学一轮复习解答题拿分秘籍(全国通用版)(已下线)9.4 双曲线(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)3.2.2 (整合练)双曲线的简单几何性质-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)专练36 双曲线的简单几何性质-2021-2022学年高二数学上册同步课后专练(人版A版选择性必修第一册)(已下线)专题10 圆锥曲线与方程-备战2022年高考数学学霸纠错(全国通用)(已下线)考点12 双曲线-备战2022年高考数学学霸纠错(新高考专用)(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)专题42 盘点圆锥曲线中的面积问题——备战2022年高考数学二轮复习常考点专题突破(已下线)专题47 盘点圆锥曲线中的几何证明问题——备战2022年高考数学二轮复习常考点专题突破(已下线)2022年全国新高考Ⅰ卷数学试题变式题13-16题(已下线)第30节 双曲线(已下线)2022年全国新高考Ⅰ卷数学试题变式题20-22题云南省昆明市东川明月中学(原东川区高级中学)2022-2023学年高二上学期期末考试数学试题
解题方法
4 . 已知椭圆
的右焦点为
,若抛物线
的焦点是椭圆
的一个顶点.
(1)求椭圆
的方程;
(2)若过点
的直线(不与
轴垂直)与椭圆
相交于
、
两点,直线
与
轴相交于点
,过点
作
,垂足为
.证明:直线
过定点
,并求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a0ba4fbd3f2724f662e947e1293e84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495bb3e5a3a9d35f5c9f0cf1f5d51876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13b505788d3d02bf232ac637fc3a8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
您最近一年使用:0次
5 . 已知抛物线
过点
,抛物线
在
处的切线交
轴于点
,过点
作直线
与抛物线
交于不同的两点
、
,直线
、
、
分别与抛物线的准线交于点
、
、
,其中
为坐标原点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/29b23488-22ee-4b1f-a2cc-a569351c3168.png?resizew=151)
(Ⅰ)求抛物线
的方程及其准线方程,并求出点
的坐标;
(Ⅱ)求证:
为线段
的中点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df40ba57bb5819b4aaa38d514500052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.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/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/29b23488-22ee-4b1f-a2cc-a569351c3168.png?resizew=151)
(Ⅰ)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
名校
解题方法
6 . 椭圆
的中心在原点,焦点在
轴上,离心率
,它的一个顶点恰好是抛物线
的焦点.
(1)求椭圆
的标准方程;
(2)过坐标原点的直线
交椭圆于
两点,
在第一象限,
轴,垂足为
,连接
延长交椭圆于点
.
①求证:
;
②求
面积最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075ba8c6fb5ef7288cd3fed425c8e69e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过坐标原点的直线
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae95e96ce568efee50145f8d017353df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf3d566704b44ea4ef1f99c37bd46902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f8c2793c53d4a31f989e6863e01acf.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d454eee3fbca680666a807ecb5d454.png)
您最近一年使用:0次
名校
解题方法
7 . 已知抛物线C:
=2px过点M(2,2),A,B是抛物线C上不同两点,且AB∥OM(其中O是坐标原点),直线AO与BM交于点P,线段AB的中点为Q
(1)求抛物线C的准线方程;
(2)求证:直线PQ与x轴平行.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dabd4b43826f82e192d646c895dfa6c6.png)
(1)求抛物线C的准线方程;
(2)求证:直线PQ与x轴平行.
您最近一年使用:0次
2020-02-15更新
|
529次组卷
|
4卷引用:【全国百强校】北京市人大附中2019届高三高考信息卷(三)理科数学试题
名校
解题方法
8 . 已知抛物线
,过抛物线
的焦点
且垂直于
轴的直线交抛物线
于
两点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/040b01b6-ddbd-47b0-8b75-dd0b63de8f6c.png?resizew=217)
(1)求抛物线
的方程,并求其焦点
的坐标和准线
的方程;
(2)过抛物线
的焦点
的直线与抛物线
交于不同的两点
,直线
与准线
交于点
.连接
,过点
作
的垂线与准线
交于点
.求证:
三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4963d116d232acb4f69e86455cdf81.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/040b01b6-ddbd-47b0-8b75-dd0b63de8f6c.png?resizew=217)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)过抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f63cb94c9410ab740f8dd236db07c3.png)
您最近一年使用:0次
2020-05-12更新
|
893次组卷
|
5卷引用:安徽省蚌埠市2020-2021学年高三上学期第一次质量监测理科数学试题
名校
解题方法
9 . 已知抛物线
和圆
,抛物线
的焦点为
.
![](https://img.xkw.com/dksih/QBM/2020/2/28/2408968253210624/2409472244170752/STEM/90e253ea-a4fc-444c-81f3-eb38495f175c.png)
(1)求
的圆心到
的准线的距离;
(2)若点
在抛物线
上,且满足
, 过点
作圆
的两条切线,记切点为
,求四边形
的面积的取值范围;
(3)如图,若直线
与抛物线
和圆
依次交于
四点,证明:
的充要条件是“直线
的方程为
”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e52e2eb084820ab6b942145abae0f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d962d9473707de1a8923727d1945259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2020/2/28/2408968253210624/2409472244170752/STEM/90e253ea-a4fc-444c-81f3-eb38495f175c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f464e7ef87c73781f11e78471f19f4e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0753d9770c7fc699de7ee7126ec94ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/605bdf556ed0367721817417cf0bbbfc.png)
(3)如图,若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305dc41f7af922a49b3bdfe151776744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4afec5e278385787e066f099f049fbfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
您最近一年使用:0次
2020-02-29更新
|
646次组卷
|
5卷引用:2020届上海市闵行区高考一模(期末)数学试题
2020届上海市闵行区高考一模(期末)数学试题(已下线)专题19 圆锥曲线 (模拟练)-2沪教版(2020) 一轮复习 堂堂清 第七单元 7.10 直线与圆锥曲线的应用(一)上海市行知中学2022届高三下学期期中数学试题(已下线)高二下期中真题精选(压轴40题专练)-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)
名校
解题方法
10 . 已知椭圆
的长轴长为
,焦距为2,抛物线
的准线经过C的左焦点F.
(1)求C与M的方程;
(2)直线l经过C的上顶点且l与M交于P,Q两点,直线FP,FQ与M分别交于点D(异于点P),E(异于点Q),证明:直线DE的斜率为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbb6cbf601c8d08db363827baefc296.png)
(1)求C与M的方程;
(2)直线l经过C的上顶点且l与M交于P,Q两点,直线FP,FQ与M分别交于点D(异于点P),E(异于点Q),证明:直线DE的斜率为定值.
您最近一年使用:0次
2020-03-04更新
|
485次组卷
|
11卷引用:河北省邢台市2019-2020学年高三上学期第一次摸底考试数学(理科)试题
河北省邢台市2019-2020学年高三上学期第一次摸底考试数学(理科)试题2020年河北省邢台市高三上学期一摸数学(文)试题(已下线)2020年1月2日《每日一题》必修5+选修2-1理数-直线与圆锥曲线的位置关系2020届广东省佛山市顺德区高三第一次教学质量检测数学理科试题2020届广东省佛山市顺德区高三第一次教学质量检测数学文科试题陕西省榆林市绥德中学2020届高三下学期第五次模拟考试数学(理)试题(已下线)专题19 圆锥曲线综合-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)专题19 圆锥曲线综合-2020年高考数学(文)母题题源解密(全国Ⅱ专版)陕西省渭南市2022-2023学年高二上学期期末模拟理科数学试题江苏省扬州中学教育集团树人学校2022-2023学年高二下学期期初考试数学试题(已下线)专题9.9 圆锥曲线的综合问题(练)-浙江版《2020年高考一轮复习讲练测》