名校
1 . 已知离心率为2的双曲线C:
(
)的左右焦点分别为
,
,直线
与双曲线C在第一象限的交点为P,
的角平分线与
交于点Q,若
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5076829e649b3f3866d4a7e07a5713e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697c20fca284394bf5d5b9e5f6d952e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da724b06833a269a436448f256c139c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a54279c4529827581bbeaa76c1beb437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aed724e5ad5b9dd94004436d809d5e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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6卷引用:湖南省益阳市2019-2020学年高二上学期期末数学试题
湖南省益阳市2019-2020学年高二上学期期末数学试题湖北省襄阳四中2019-2020学年高三下学期3月月考数学(文)试题四川省南充高级中学2020-2021学年高二下学期期中数学(文)试题(已下线)专题04 圆锥曲线(难点)-2020-2021学年高二数学下学期期末专项复习(北师大版2019选择性必修第一册、第二册)苏教版(2019) 选修第一册 一蹴而就 第3章 习题课一(已下线)期末重难点突破专题02-【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)
名校
2 . 已知
为坐标原点,
为抛物线
:
的焦点,直线
:
与抛物线
交于
,
两点,点
在第一象限,若
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ac354c8d8bdc8f6b636e06cbb9c642.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3003587b95523caeb2d8ccaf27fa5a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6卷引用:四川省棠湖中学2019-2020学年高二下学期第一次在线月考数学(文)试题
3 . 已知抛物线
的焦点为
,点
是抛物线上一点,且满足
,从点
引抛物线准线的垂线,垂足为
,则
的内切圆的周长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.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/0c1ab7242d9d7bf9a6f5870e3ade4c5f.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/53ed35b40fc47874a7b44e99d45bc299.png)
A.![]() | B.![]() |
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2卷引用:河南省开封市五县联考2019-2020学年高二上学期期末数学(理)试题
名校
解题方法
4 . 在平面直角坐标系
中,四个点
,
,
,
中有3个点在椭圆
:
上.
(1)求椭圆
的标准方程;
(2)过原点的直线与椭圆
交于
,
两点(
,
不是椭圆
的顶点),点
在椭圆
上,且
,直线
与
轴、
轴分别交于
、
两点,设直线
,
的斜率分别为
,
,证明:存在常数
使得
,并求出
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee70f80d9b2a8a39a2e70e281d48c91e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ca4a8481029b98c0ffdd2cc5820ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea20370e5f7f00779dc1b1821986c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe44fc04812c2b7b1f423b32697b5a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过原点的直线与椭圆
![](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/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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.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/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34bc0ee0a95fab04edf648026f14b9ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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|
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4卷引用:四川省棠湖中学2019-2020学年高二下学期第一次在线月考数学(文)试题
名校
解题方法
5 . 已知命题
若直线
与抛物线
有且仅有一个公共点,则直线
与抛物线
相切,命题
若
,则方程
表示椭圆.下列命题是真命题的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ffeb7ae69fcb3b8b5166232e1f2f228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f4404c329536ca58d6635e91d68ebe.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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14卷引用:四川省成都外国语学校2019-2020学年高二5月月考数学(理)试题
四川省成都外国语学校2019-2020学年高二5月月考数学(理)试题四川省成都外国语学校2019-2020学年高二5月月考数学(文)试题河南省新乡市2019-2020学年高二上学期期末数学(文科)试题安徽省皖西南联盟2019-2020学年高二上学期期末数学(文)试题陕西省西安市2019-2020学年高二上学期期末数学(文)试题陕西省西安市2019-2020学年高二上学期期末数学(理)试题安徽省皖西南联盟2019-2020学年高二上学期期末数学(理)试题河南省新乡市2019-2020学年高二上学期期末数学(理科)试题安徽省淮北市濉溪中学2019-2020学年高二上学期期末数学(文)试题陕西省西安市远东一中2019-2020学年高二上学期期末数学(理)试题广西玉林市第十一中学2019-2020学年高二数学(文)期末试题河南省郑州市第七中学2021-2022学年高二上学期期末考试理科数学试题陕西省西安市蓝田县2021-2022学年高二上学期期末文科数学试题广西玉林市第十一中学2021-2022学年高二上学期期末模拟考试数学(理)试题
名校
6 . 椭圆
:
的左,右焦应分别是
,
,离心率为
,过
且垂直于
轴的直线被椭圆
截得的线段长为1.
(1)求椭圆
的方程;
(2)已知直线
:
与椭圆
切于点
,直线
平行于
,与椭圆
交于不同的两点
、
,且与直线
交于点
.证明:存在常数
,使得
,并求
的值;
(3)点
是椭圆
上除长轴端点外的任一点,连接
,
,设
后的角平分线
交
的长轴于点
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed6b9540857e386651e191a0a5b5a98.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/860884c0017c8bceb5b0edff796c144f.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/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a154802409c38bf4d8986a1c7b4484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe785321f14e3e7576987fb396ad4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.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/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e275b7dcf93c3a378b84b1ea577164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ef45b04ea62a009406b769a615ba93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-02-09更新
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1254次组卷
|
3卷引用:江苏省常州市溧阳市2019-2020学年高二上学期期末数学试题
江苏省常州市溧阳市2019-2020学年高二上学期期末数学试题四川省遂宁中学校2022-2023学年高二下学期3月月考数学(理)试题(已下线)专题19 角平分线定理在圆锥曲线中的应用 微点2 角平分线定理在圆锥曲线中的应用综合训练
7 . 已知
、
分别是椭圆
的左、右焦点,点
在椭圆
上,且
的面积为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/57c2723e-56d2-4ee5-9a89-d710297ac0c1.png?resizew=183)
(1)求椭圆
的方程;
(2)设直线
与椭圆
交于
、
两点,
为坐标原点,
轴上是否存在点
,使得
,若存在,求出
点的坐标;若不存在,请说明理由;
(3)设
为椭圆
上非长轴顶点的任意一点,
为线段
上一点,若
与
的内切圆面积相等,求证:线段
的长度为定值.
![](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/f5f1b14c3d64252d2cb9ff05d30534cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200111b232f1e3525632f1caea6ebf2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb5f2c02230ede5e60c22c5e1a5d3c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/57c2723e-56d2-4ee5-9a89-d710297ac0c1.png?resizew=183)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1393ce18019bb2c27b84bb0d9e7bf59d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31c3d1c2d2c394a71ac2c311653b347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e087c58a497b8d9d8ef1b408001ac0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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2020-02-09更新
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2卷引用:浙江省金华十校2019-2020学年高二上学期期末考试数学试题
名校
8 . 设
,
分别为椭圆
:
的左、右焦点,已知椭圆
上的点
到焦点
,
的距离之和为4.
(1)求椭圆
的方程;
(2)过点
作直线交椭圆
于
,
两点,线段
的中点为
,连结
并延长交椭圆于点
(
为坐标原点),若
,
,
等比数列,求线段
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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2de52259b426acb42761fec59a7748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.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/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2752e086b85f9fbb95010bf771072af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c49e4638128eb342fe4f6a556e61eef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a84af713ec9898211637cfa1b0ef3b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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2卷引用:四川省双流中学2019-2020学年高二下学期复学考试数学(文)试题
名校
9 . 在平面直角坐标系中,以坐标原点为中心,以坐标轴为对称轴的帮圆C经过点M(2,1),N
.
(1)求椭圆C的标准方程;
(2)经过点M作倾斜角互补的两条直线,分别与椭圆C相交于异于M点的A,B两点,当△AMB面积取得最大值时,求直线AB的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf8d12cb09c7dc498bcfeb7aeceaf71.png)
(1)求椭圆C的标准方程;
(2)经过点M作倾斜角互补的两条直线,分别与椭圆C相交于异于M点的A,B两点,当△AMB面积取得最大值时,求直线AB的方程.
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3卷引用:四川省成都市2019-2020学年高二上学期期末数学(理)试题
10 . 已知动圆M与直线
相切,且与圆
外切,记动圆M的圆心轨迹为曲线C.
(1)求曲线C的方程;
(2)若直线l与曲线C相交于A,B两点,且
(O为坐标原点),证明直线l经过定点H,并求出H点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76426b7e71f15f6e801b00d1f72b1030.png)
(1)求曲线C的方程;
(2)若直线l与曲线C相交于A,B两点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05a7fd9f70968150c2732ff2e8c7662b.png)
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5卷引用:四川省成都市2019-2020学年高二上学期期末数学(理)试题
四川省成都市2019-2020学年高二上学期期末数学(理)试题人教A版(2019) 选择性必修第一册 过关斩将 第三章 圆锥曲线的方程 专题强化练8 抛物线的综合运用(已下线)专题20 抛物线的简单几何性质(核心素养练习)-【新教材精创】2020-2021学年高二数学新教材知识讲学(人教A版选择性必修第一册)(已下线)专题08 圆锥曲线的方程-抛物线的综合运用-2021-2022学年高二数学同步练习和分类专题教案(人教A版2019选择性必修第一册)(已下线)专题30 圆锥曲线求过定点大题100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)