名校
1 . 已知曲线
在
处的切线过点
.
(1)试求
,
满足的关系式;(用
表示
)
(2)讨论
的单调性;
(3)证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d387f09339a54f5a492bd1951be6f1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5e9fc271e98ebd1d141e730439ca21.png)
(1)试求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa580bccb65c036e69f8c6b327d4c9a5.png)
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2024-04-01更新
|
535次组卷
|
3卷引用:宁夏回族自治区石嘴山市第一中学2023-2024学年高二下学期3月月考数学试题
名校
解题方法
2 . 已知
,
分别是椭圆
的左、右焦点,左顶点为A,则上顶点为
,且
的方程为
.
(1)求椭圆
的标准方程;
(2)若
是直线
上一点,过点
的两条不同直线分别交
于点
,
和点
,
,且
,求证:直线
的斜率与直线
的斜率之和为定值.
![](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/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc6a1be030fc90af53cc09ec98768ef.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/5ebca0c89a6431c34526d17eccb08594.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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3 . 已知函数
与
(
且
)的图象只有一个交点,给出四个值:①
;②
;③
;④
,则
的可能取值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82869dad28f771d088772a2c2b08b187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8d1ca7682da10dc7f36e858593d51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8989424fa1d5b377ec23795a5ee3729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2598975ac1edb754817eada15b9a473e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.①② | B.①③ | C.②③ | D.②④ |
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名校
解题方法
4 . 在
中,角A,B,C的对边分别为a,b,c,且
,若点M是
的中点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb04cecda15f15130411851e4e41398d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/901805ccfb9d2af1cc95cbccec65877b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32e36834baf9472a2297856b297e547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb04cecda15f15130411851e4e41398d.png)
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2024-03-27更新
|
339次组卷
|
2卷引用:宁夏回族自治区石嘴山市第一中学2023-2024学年高一下学期5月期中数学试题
名校
解题方法
5 . 已知函数
有两个不同的极值点
,
,若不等式
恒成立,则实数
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afbe49801d99d4161b7aefeb36eedafa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3668ad67fb6d3f4b330709d3c9bb65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
6 . 在平面直角坐标系xOy中,椭圆
的左焦点为点F,离心率为
,过点F且与x轴垂直的直线被椭圆截得的线段长为3.
(1)求椭圆C的方程;
(2)设不过原点O且斜率为
的直线l与椭圆C交于不同的两点P,Q,线段PQ的中点为T,直线OT与椭圆C交于两点M,N,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求椭圆C的方程;
(2)设不过原点O且斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20553e0b4f149dd34c3623676149d43.png)
您最近一年使用:0次
2024-03-25更新
|
934次组卷
|
2卷引用:宁夏吴忠市吴忠中学2023-2024学年高二下学期期中考试数学试卷
名校
解题方法
7 . 已知可导函数
的定义域为
,
为奇函数,设
是
的导函数,若
为奇函数,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0baf7dbe07041ed542c5f0f3ec801f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143d920763bb59b1a8f86d9865580025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a16c5a8ab7d91227deb4174143f2f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1529c9d624eb74089b181865eaed955.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-21更新
|
2349次组卷
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7卷引用:宁夏银川一中、云南省昆明一中2024届高三下学期5月联合考试二模理科数学试卷
宁夏银川一中、云南省昆明一中2024届高三下学期5月联合考试二模理科数学试卷福建省漳州市部分学校2024届高三下学期普通高考模拟测试数学试题(已下线)专题1 巧用性质 对称求和【练】(已下线)模块3 第4套 全真模拟篇(一模重组卷)(已下线)数学(九省新高考新结构卷02)(已下线)广东省佛山市第一中学2024届高三上学期第二次调研数学试题变式题6-10湖北省荆州市沙市中学2024届高三下学期高考全真模拟数学试卷
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8 . 对于非零向量
,定义变换
以得到一个新的向量.则关于该变换,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/087fa245e52bb7e2bf59f79fe45741ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7e4a398ac8f77770e0190468c85a6a.png)
A.若非零向量![]() ![]() |
B.若非零向量![]() ![]() |
C.存在![]() ![]() |
D.设![]() ![]() |
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2024-03-15更新
|
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4卷引用:宁夏吴忠市青铜峡市宁朔中学2023-2024学年高一下学期3月月考数学试题
宁夏吴忠市青铜峡市宁朔中学2023-2024学年高一下学期3月月考数学试题重庆市巴南区部分学校2023-2024学年高一下学期阶段测试数学试题山西省运城市康杰中学2023-2024学年高一下学期第一次月考(4月)数学试题(已下线)6.3.5 平面向量数量积的坐标表示——课后作业(巩固版)
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9 . 已知
.
(1)若
,求
在
处的切线方程;
(2)设
,求
的单调区间;
(3)求证:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96bc68b32faba117b62659bf0fbc269b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c765461ae1a6c70f5cbdcb6c932a22b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(3)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b0c39690480750fcd3415be6224bc7.png)
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2024-03-07更新
|
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3卷引用:宁夏吴忠市2024届高三下学期高考模拟联考试卷(二)理科数学试题
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10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b179446b1db69443461b2a0d0e0977.png)
(1)求
的单调区间及最值
(2)令
,若
在区间
上存在极值点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b179446b1db69443461b2a0d0e0977.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c204be088a8fc6c096eedd5b1e7dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921d7bfaf9e813a9e2982449175bdc72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-03-07更新
|
436次组卷
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