名校
解题方法
1 . 已知函数
的部分图象如图所示,其中
,点
是
图象的一个对称中心,点
在
左侧的图象上,是与
相邻的最高点,直线
经过点
且与
交于
两点,已知直线
的斜率
,若
的最小值为8,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50745010f01870c2df88e4a66b548340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/064599d90636a57a95bff9f82bb67683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](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/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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbeaed9ec21e090defafcfeefe0059c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f21181d7852c3b2ba0411bad0742a646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/27/2c60aee1-3b68-418f-ac4f-2d1c5dc16c1d.png?resizew=180)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2 . 在平面直角坐标系
中,动点
与两点
连线斜率分别为
,且满足
,记动点
的轨迹为曲线
.
(1)求曲线
的标准方程;
(2)已知点
为曲线
在第一象限内的点,且
,若
交
轴于点
交
轴于点
,试问:四边形
的面积是否为定值?若是,求出该定值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3c9967968279271d8cf1f9444c0ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4afe8066b2119e0b196f01455076dab2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6b7670302e7015123b9446afab1f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd3b5486425da4e2025804d372dd654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c5b62ea69808e36e57db3cf2583f118.png)
您最近一年使用:0次
2022-11-28更新
|
795次组卷
|
3卷引用:重庆市三校2023届高三上学期11月拔尖强基联合定时检测数学试题
3 . 在平面直角坐标系中,
为坐标原点,向量
绕原点逆时针旋转
得到
,则有旋转变换公式
.已知曲线
绕原点逆时针旋转
得到曲线
.
(1)求曲线
的方程;
(2)
,
为曲线
右支上任意两点,且直线
过曲线
的右焦点
,点
,延长
分别与曲线
交于
两点.设直线
和
的斜率都存在,分别为
与
,问是否存在实数
,使得
恒成立?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a015aa180283116436d7f5e56c7e697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a93454d821ab91d4d49bafad55bdbb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed7a19dcf6230a31d8637ea0049dc7b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eaf3e31ec674e01a3f2ea2a2d66d45b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e4a3aea4b4b0d87c014030a6ff9027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f726eafc3e7ce9970115202f5122b964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d5bfa05232c26797f61d439b6d42ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.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/713eca8f1e6d98069148323acf50fd0b.png)
您最近一年使用:0次
2022-05-10更新
|
1006次组卷
|
3卷引用:重庆市第一中学校2022届高三下学期5月月考数学试题
重庆市第一中学校2022届高三下学期5月月考数学试题(已下线)专题32 一类与斜率和、差、商、积问题的探究-2湖北省部分县市区省级示范高中温德克英协作体2023-2024学年高二上学期期末综合性调研考试数学试题
4 . 王老师在课堂上与学生探究直线
时,有四位同学分别给出了一个结论.甲:直线
经过点
.乙:直线经过点
.丙:直线
经过点
.丁:直线
的斜率为整数.如果只有一位同学的结论是错误的,那么这位同学是( )
![](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/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edacbac6148537c961bbb673c84dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaef66a0582e95fb5c57a405acdea9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.甲 | B.乙 | C.丙 | D.丁 |
您最近一年使用:0次
2021-11-04更新
|
413次组卷
|
6卷引用:重庆市缙云教育联盟2022届高三下学期2月质量检测数学试题
名校
解题方法
5 . 已知椭圆
的离心率为
,
为椭圆
上任意一点,且已知
.
(1)若椭圆
的短轴长为
,求
的最大值;
(2)若直线
交椭圆
的另一个点为
,直线
交
轴于点
,点
关于直线
对称点为
,且
,
三点共线,求椭圆
的标准方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.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/6e9b5e076078240e0c5ad9763a9824d3.png)
(1)若椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4323dcce28ed1206e6ff65600d0dc9e7.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.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/495bb3e5a3a9d35f5c9f0cf1f5d51876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8396a7120abeaae6236a9292e5b9f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8396a7120abeaae6236a9292e5b9f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa1735c008031004b8c387d1e1376978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
6 . 如图,A,B为椭圆
的左、右顶点,直线
过椭圆C的右焦点F且交椭圆于P,Q两点.连结
并延长交直线
于点M.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/efa3f580-26ea-430f-b383-4c6b8339e866.png?resizew=242)
(1)若直线
的斜率为
,求直线
的方程;
(2)求证:A,Q,M三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/efa3f580-26ea-430f-b383-4c6b8339e866.png?resizew=242)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78fd95f89dec2d373fa57f02acd739f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
(2)求证:A,Q,M三点共线.
您最近一年使用:0次
名校
7 . 已知抛物线
上一点
,过
作倾斜角互补的两条直线
,
分别交抛物线于不同的两点
,
,已知直线
的斜率为-2,则点
的横坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f4123c19136d3a4dc040dce8e34e14.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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.2 | B.![]() | C.1 | D.![]() |
您最近一年使用:0次
名校
8 . 点
直线
与线段
相交,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e19c64b68cd70c5dc3eb77ceb07fc6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1960b6a059f976fed29a86e8ec38595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
2019-09-11更新
|
1323次组卷
|
3卷引用:重庆市第十一中学2020届高三上学期10月月考(理)数学试题
名校
9 . 在
上的函数
满足:①
(
为正常数);②当
时,
,若
的图象上所有极大值对应的点均落在同一条直线上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/330d98f239b9a6c8ad342c4abb45b950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211ebd58d457c6e7855cef475a91f203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c31a97a3d7d8f1f6d799d3bdb1e4c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
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2019-01-11更新
|
450次组卷
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2卷引用:重庆市涪陵实验中学校2019-2020学年高三上学期第一次月考数学(理)试题
名校
10 . 若实数
满足条件
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b454554e5b7ae60ae86a4ee86c71aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60960b1a8bb0d3d9b29fc6f849613ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88970f5e72efe73cf13d8343f2b2f408.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-07-20更新
|
722次组卷
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2卷引用:重庆市渝中巴蜀中学校2020届高三下学期4月月考理科数学试题