名校
1 . 已知函数
,则曲线
在点
处的切线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdb554c7e11b6d212f5fea2a84f0f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d06e33d079ac1649ee5eea8f61de7cf.png)
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2 . 已知数列
是等差数列,
是等比数列,且
,
,
,
.
(1)求
的通项公式:
(2)设
的前
项和为
,证明:
;
(3)设
,求数列
的前
项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627e48c5ab76f5d1874c57a40d32d89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6abbd310bfce5fc6df04add486e95070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fe0f4e8a80a2840c0f6929a8a6351b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144958d8f106c2a5384404a612c35a31.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0441e285d990afd18061376145503267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d0b808acfe2c8d5dbc280b5b83efc28.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac07953530e3c248b3438fb200fb1661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
3 . 设事件A,B满足
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aac3c718667965ea50cecec8359d59e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285cae8e4510619ab72db267774e736c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7日内更新
|
818次组卷
|
3卷引用:辽宁省沈阳市东北育才学校科学高中部2023-2024学年高二下学期期中考试数学试题
辽宁省沈阳市东北育才学校科学高中部2023-2024学年高二下学期期中考试数学试题山东省青岛第十五中学2023-2024学年高二下学期第三学段质量检测数学试卷(已下线)专题05 条件概率--高二期末考点大串讲(苏教版2019选择性必修第二册)
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4 . 已知5个成对数据
的散点图如下、若去掉点
,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9aa1d34d66a6876aa0566c8fc8b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0832865807b6b82f14ca186a84ca50a2.png)
A.变量x与变量y呈负相关 | B.变量x与变量y的相关性变强 |
C.残差平方和变小 | D.样本相关系数r变大 |
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5 . 已知函数
,
,若存在实数
使
在
上有2个零点,则
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fceb2c73d92d7c3abfc70f9bde2b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7ce9120a714c2fb1f2bded90416be4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7c2420c387be8882df4359ac10b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e62a68c0dfbfdda7bee162408768ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
7日内更新
|
325次组卷
|
5卷引用:辽宁省沈阳市东北育才学校2023-2024学年高二实验部下学期阶段检测二(6月)数学试题
辽宁省沈阳市东北育才学校2023-2024学年高二实验部下学期阶段检测二(6月)数学试题上海市川沙中学2023-2024学年高二下学期期中考试数学试题(已下线)专题10 函数的零点问题(一题多变)(已下线)专题05导数及其应用--高二期末考点大串讲(沪教版2020选修)(已下线)专题05导数及其应用全章复习攻略--高二期末考点大串讲(沪教版2020选修)
名校
解题方法
6 . 如图,在长方体
中,
,
,
是棱
上的一点,点
在棱
上,则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/1/a32ef7ea-03be-4bb9-9d57-ca872cb326a9.png?resizew=145)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/1/a32ef7ea-03be-4bb9-9d57-ca872cb326a9.png?resizew=145)
A.若![]() ![]() |
B.存在点![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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7 . 已知函数
,求:
(1)函数
的图像在点
处的切线方程;
(2)
的单调递减区间;
(3)求
的极大值和极小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27dedb9915097bbcd7be1801c18549bf.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
8 . 已知函数
.
(1)
在定义域内单调递减,求
的范围;
(2)讨论函数
在定义域内的极值点的个数;
(3)若函数
在
处取得极值,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7c6dbd23c3a97ca565293fa527a43c.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c2d34cb1ea0cf34812cd7bf01a37b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
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解题方法
9 . 已知数列
的前
项和为
,且
满足
.
(1)求数列
的通项公式;
(2)数列
的通项
,求
的前
项和
;
(3)在任意相邻两项
与
(其中
)之间插入
个3,使它们和原数列的项构成一个新的数列
.记
为数列
的前
项和,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21bdc437e0e1c6e176adc70099d5f84.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a8100f98999e472945ab7050af50d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52c9237cb0b4acc568d4afb12997186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
(3)在任意相邻两项
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217b927efe12a98e1082ecd7f035b921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad52924df9291d5d191d18e09374ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98aa5f1acb67ec4580d240c2525e4d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d6468d06ec9604a25a15ff3ca790c67.png)
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10 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a8855aff1b33b5849d88513101d8d8.png)
的部分图像如图所示,
是等腰直角三角形,其中
两点为图像与
轴的交点,
为图像的最高点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a8855aff1b33b5849d88513101d8d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3fa5f9a8d31a4425722a9e5ee2533e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0b5bc0105f55a7fa980ae7b1019d64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f6f96a7c67ccb294c6f9d209061c96e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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