名校
解题方法
1 . 已知定义在
上的函数
满足
,且
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1ba677dc12c5304da89bc2e95dd4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ca2e66c203f9aab0b30cf06e72d7db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23437d77a112dc274b70dd0295bf723.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-06-11更新
|
680次组卷
|
3卷引用:2024届河南省新乡市高三第三次模拟考试数学试卷
解题方法
2 . 已知椭圆
的左、右顶点分别是
,椭圆
的焦距是2,
(异于
)是椭圆
上的动点,直线
与
的斜率之积为
.
(1)求椭圆
的标准方程;
(2)
分别是椭圆
的左、右焦点,
是
内切圆的圆心,试问平面上是否存在定点
,使得
为定值?若存在,求出该定值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.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/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc48974114e23f5a801843710c7ae21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78fd95f89dec2d373fa57f02acd739f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.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/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350a38070bdc27207946be17d5f70223.png)
您最近一年使用:0次
名校
解题方法
3 . 已知不恒为0的函数
的定义域为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429397fdffb0be583a9a443adb627f77.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 已知
,
分别是椭圆
:
(
)的左、右顶点,
为
的上顶点,
是
上在第一象限的点,
,直线
,
的斜率分别为
,
,且
.
(1)求
的方程;
(2)直线
与
交于点
,
与
轴交于点
,求
的取值范围.
![](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/ac047e91852b91af639feec23a9598b2.png)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/87b8ff98fbd2376ba4214f34026b01a2.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/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eac9ba606fb477550aa62db7bfa0ac4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdbd4e4d9389c775a42e0ac36579029.png)
您最近一年使用:0次
2024-03-21更新
|
615次组卷
|
2卷引用:河南省新乡市2024届高三第二次模拟考试数学试题
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c99755c944cadc436ced7003315b1eb.png)
,
,若关于
的方程
有6个解,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c99755c944cadc436ced7003315b1eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59ffba0b10365115afef5ba4de09df1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e87088da41685cc8d433fbbe0e18d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a838563e261d477d23a2b8891e8fc406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2024-03-21更新
|
643次组卷
|
3卷引用:河南省新乡市2024届高三第二次模拟考试数学试题
解题方法
6 . 如图,已知双曲线
:
(
,
)的左、右焦点分别为
,
,点
在
上,点
在
轴上,
,
,
三点共线,若直线
的斜率为
,直线
的斜率为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4175eaeb97d2c4d0fa1bc3f50c557047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289504f29b4ba4ddbc6a5a8ade7d8a7c.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbad65b3d744b70da2480eee1cdb587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feca59051c00acbad64f11c28ed80d5f.png)
A.![]() ![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
7 . 已知函数
.
(1)当
时,讨论
在
上的单调性;
(2)已知
是
的两个零点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c35a3bcb53c7913523de568b46d8021.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111870a9ef48f1bb2797ae8f1825a8f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd5072eda34e5a10e2c9c4805380ade.png)
您最近一年使用:0次
8 . 已知
分别是双曲线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
的左、右顶点,且
,
为
上一点,
,则点
到
轴的距离为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26d3f9d8344e1c727fbbed5421daaa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2949e245c7a1e130848285324f2d80c.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/67806fd1c3c7cbc7f194105e68b1dfcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
解题方法
9 . 已知圆
,椭圆
,过C上任意一点P作圆C的切线l,交
于A,B两点,过A,B分别作椭圆
的切线,两切线交于点Q,则
(O为坐标原点)的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455f48757c0e9c2fe6c1b3824096c7a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbc55eea9e0201b2b4ed25e0c0d368d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb4cc09156a1234c822974433c7c66b.png)
A.16 | B.8 | C.4 | D.2 |
您最近一年使用:0次
2023-11-30更新
|
299次组卷
|
5卷引用:河南省新乡市第二中学2024届高三上学期1月测试数学试题
河南省新乡市第二中学2024届高三上学期1月测试数学试题(已下线)考点20 常用的二级结论的应用 2024届高考数学考点总动员【练】(已下线)专题06 直线与圆、椭圆方程(分层练)(三大题型+12道精选真题)浙江省宁波市余姚市2022-2023学年高二上学期期末数学试题湖北省恩施州巴东县第一高级中学2023-2024学年高二上学期末数学试题
名校
解题方法
10 . 已知函数
及其导函数
的定义域均为R,记
.若
,
均为偶函数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585de67a3fc494297d375d339af6d153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a45770f37ee6ab10caf080e5c39517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46862506d984fa278330860cef69ae9b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次