名校
解题方法
1 . 已知椭圆C:
经过点
,F为椭圆C的右焦点,O为坐标原点,
的面积为
.
(1)求椭圆C的标准方程;
(2)过点
作一条斜率不为0的直线与椭圆C相交于A,B两点(A在B,P之间),直线
与椭圆C的另一个交点为D,求证:点A,D关于
轴对称.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e67baac84cf5c95d06d50c36cab7c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2ce6d23fb52cc513580a8f0e6760c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
(1)求椭圆C的标准方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af74113f38fffeed8075e57d7f9d2533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2023-11-16更新
|
868次组卷
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7卷引用:重庆市第八中学校2023-2024学年高二上学期定时检测(四)数学试题
重庆市第八中学校2023-2024学年高二上学期定时检测(四)数学试题河南省郑州外国语学校2023-2024学年高三上学期第三次调研考试数学试题广东省广州市第十六中学2024届高三上学期教学质量检测(一)数学试题广东省东莞市众美中学2024届高三上学期第三次月考数学试题江西省南昌市2024届高三上学期摸底测试数学试题(已下线)2024年全国高考名校名师联席命制数学(理)信息卷(八)(已下线)2024年全国高考名校名师联席命制数学(文)信息卷(八)
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2 . 若椭圆
上的点到直线
的最短距离是
,则
最小值为
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/618ba17b93e4e22a96ab207ca9c426a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54479885d4ab2f717d2e97718da04b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://img.xkw.com/dksih/QBM/2024/1/17/3413231833997312/3413249789411328/STEM/79139c04a9534e0a91d2fdff4d2b9ecb.png?resizew=4)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 已知圆
,圆
,动圆P以点P为圆心,且与圆
外切,与圆
内切.
(1)求点P的轨迹C的方程;
(2)已知点
为轨迹C上任意一点,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47aecccd9ca252632fb1fa9de1372a66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24fb2a4138c69f05686a55d3c6457bfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
(1)求点P的轨迹C的方程;
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ff7e0ef1f622120cc1b18e9d3e80ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ebc856291255f2d4a6c20b982a2442.png)
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解题方法
4 . 椭圆C:
过点P(
,1)且离心率为
,F为椭圆的右焦点,过F的直线交椭圆C于M,N两点,定点
.
(1)求椭圆C的方程;
(2)若
面积为3
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f91fb2625ab142edde5378a54af411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/993769b494e12c21dff0ee7c53a4a49f.png)
(1)求椭圆C的方程;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
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5 . 如图,已知抛物线
:
和圆
:
,过抛物线的焦点
作直线
与上述两曲线自左而右依次交于点
,
,
,
,则
的最小值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/b754d400-adb5-40d0-9534-27d9302ace75.png?resizew=178)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f29f7a04e4cfdcaedbb45e222ea566c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647aa3f3e9c217c6f33835e48970728c.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/5963abe8f421bd99a2aaa94831a951e9.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50312f6452b65dd1b4ffbeb843e20df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/b754d400-adb5-40d0-9534-27d9302ace75.png?resizew=178)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-24更新
|
773次组卷
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3卷引用:重庆市黔江中学校2023-2024学年高二上学期12月月考数学试卷
重庆市黔江中学校2023-2024学年高二上学期12月月考数学试卷(已下线)专题20 抛物线的定义和焦半径公式及抛物线的标准方程(期末选择题20)2023-2024学年高二数学上学期期末题型秒杀技巧及专项练习(人教A版2019)广东省珠海市第一中学2024届高三上学期期末模拟数学试题
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6 . 双曲线
的渐近线方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a235fd1e12debf2e44432111321d3131.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-24更新
|
730次组卷
|
3卷引用:重庆市杨家坪中学2023-2024学年高二上学期第三次月考数学试题
重庆市杨家坪中学2023-2024学年高二上学期第三次月考数学试题江苏省南京市励志高级中学2023-2024学年高二上学期期末复习数学试题(已下线)专题18 双曲线的标准方程的求算及重点性质考察(期末选择题18)-2023-2024学年高二数学上学期期末题型秒杀技巧及专项练习(人教A版2019)
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解题方法
7 . 已知
是抛物线
的焦点,抛物线上点A满足AF垂直于x轴,且
.
(1)求抛物线C的标准方程;
(2)
是该抛物线上的两点,
,求线段
的中点到
轴的距离;
(3)已知点
,直线
过点
与抛物线交于
,
两个不同的点
均与点H不重合
,设直线
,
的斜率分别为
,
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d653eb1ea0106e5bb146dae2e4e0e34f.png)
(1)求抛物线C的标准方程;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ea647b776699a17f47fae1f25dc158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c627ad9fd5be5001321b0ca8ce941e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28c6ce14821fdbe53aca895e52ab1e7.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/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a8588dc60a543ad70d6bc0d263dbd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eef1f7b9adab87736321e30949a4d668.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)
您最近一年使用:0次
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解题方法
8 . 已知双曲线
的右焦点为
,以
为圆心,过坐标原点
的圆与双曲线的一条渐近线交于点
、
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a218602e8e3a52f74f760059aa7014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa3ba0c87ce97239cb65f863fa9340f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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解题方法
9 . 已知
为坐标原点,抛物线
(
)的焦点为
,抛物线上的点
满足
,
的面积为
,则该抛物线的准线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b35f0b940c8422ef47edc3b7ce55e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.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/0e562712d9ddd74d0bb3f023b819793a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c71c49dc9a9de1a0221769e4eb8616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
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10 . 下列说法不正确的有( )
A.点![]() ![]() ![]() |
B.经过点![]() ![]() |
C.过双曲线![]() ![]() ![]() |
D.直线![]() ![]() ![]() |
您最近一年使用:0次
2024-01-22更新
|
331次组卷
|
2卷引用:重庆市第一中学校2023-2024学年高二下学期定时练习(一)数学试题