名校
1 . 设函数
.
(1)求曲线
在点
处的切线方程;
(2)求
在
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9105a669bf206ed48ecae57fac46cd83.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8dc29afaa48c860fe7fbee5b5c6197.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b743ba0b998860bb9586d8c983e45baf.png)
您最近一年使用:0次
2024-06-11更新
|
908次组卷
|
4卷引用:辽宁省大连市第十二中学2023-2024学年高二下学期6月份学情反馈数学试卷
2 . 已知
为锐角三角形的三个内角.
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99d9baa17058766456877027b05c796.png)
(2)求
的最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99d9baa17058766456877027b05c796.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681ec70411257b96d0f5bc56f8428397.png)
您最近一年使用:0次
3 . 下列说法正确的是( )
A.![]() ![]() ![]() ![]() |
B.在![]() ![]() ![]() |
C.15人围坐在圆桌旁,从中任取4人,他们两两互不相邻的概率是![]() |
D.已知函数![]() ![]() ![]() ![]() ![]() |
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名校
解题方法
4 . 已知数列
满足点
在直线
上,
的前n项和为
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4976cb432a52c2316bc7dad303474c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943f4238284faa89ef999a4dbc2d327e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9efb58b81e74cc19f4412229b9e78d2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-05更新
|
633次组卷
|
2卷引用:辽宁省辽阳市辽阳县辽阳石油化纤公司高级中学2024届高三下学期模拟考试数学试题
解题方法
5 . 已知函数
.
(1)求函数
的最小值;
(2)若
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80c358203c0f9c99b25ab1f057ced1b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9831f7677f1e05bdbce7edbdba4e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2294b3eb0726f18dfbd285f88bc115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346ca0a9b6c171f460b408b4d1f71c3c.png)
您最近一年使用:0次
名校
6 . 已知
,其中
,则
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a451604bbc523c83b10d104f4e2986a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee03b40111d964fdb502f42c5966601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2bbbb39cfb42c81cfb75b52a6fbc43.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-03更新
|
425次组卷
|
2卷引用:辽宁省丹东市东港市第二中学2024届高三下学期高考热身考试数学试卷
7 . 已知函数
为
的极值点.
(1)求
的最小值;
(2)若关于
的方程
有且仅有两个实数解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bfcddd1ef4fe7f3b29134608352445.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d6a84fe075abd80e8dd0b23a4546a3.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907e4ba6d5f2eea68442def1911957fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-06-03更新
|
671次组卷
|
2卷引用:2024年辽宁省普通高等学校招生全国统一考试(模拟1)数学试题
8 . 已知定义在
上的函数
的导函数为
,若
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8e2f3d154edb803591cc41a185e6ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bda51d861d43f1cde4ea398ac877bb2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 已知函数
.
(1)讨论函数
的单调性;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80e86d369cb8d2b5506d71113c2f177.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875afd22d89b4e0b1bfc8ffaeaec9981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
10 . 已知函数
(
为常数),曲线
在点
处的切线平行于
轴.
(1)求
的值;
(2)求函数
的单调减区间和极值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0c465861e533b545d91d07600169b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c7498ba1a84a990ac5482fd1d849a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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