名校
1 . 已知函数
.
(1)下面是某同学讨论函数单调性并求解单调区间的过程:因为
,所以
.令
,得
或
,所以当
时,
单调递减.请判断是否正确,若正确,补全解答过程,若不正确,请写出正确的解答过程;
(2)若
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b23bc0d370d74bdb6aefdcada5dc7b.png)
(1)下面是某同学讨论函数单调性并求解单调区间的过程:因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b23bc0d370d74bdb6aefdcada5dc7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d068bdf530a8e66d040d22575f2df51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868a4cf0549507ca5f2a18b2d1070085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a06a856627857e788a9f613b4fa126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c28f5a9453d0b47ebb45852d83000c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857f0eb507a711096e5f095a2f203ba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-09-29更新
|
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2卷引用:河南省新未来2022-2023学年高三上学期9月联考文科数学试题
2 . 已知函数
,
下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6263576e5c3f2324a8dac311476bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51917112bc823e62088c2c214870a62b.png)
A.当![]() ![]() ![]() |
B.![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() |
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3 . 对于三个不等式:①
;②
;③
.其中正确不等式的个数为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a479bc245510fa5d7d3fcd4bc29f0a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7b6c1dadc30ee05c4683cf53399626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5efc4df4004da8d4dab234c1fd5f55bd.png)
A.0 | B.1 | C.2 | D.3 |
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名校
解题方法
4 . 设函数
.
(1)证明:存在唯一的函数
,使得
;
(2)求所有的非负实数
使得
;
(3)
,
(i)证明:关于
的方程
与
都有唯一实根;
(ii)记
分别为方程
,
的实根,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041fc0e0ff542027634491e686a510b6.png)
(1)证明:存在唯一的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ee09653f053eccbba4b85fbf97c3e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aca8208f53be6a7033b4fd2a11c7964.png)
(2)求所有的非负实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f8bfb563f79688d136e0cb958b5153c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1523685c2d0a9ef21660908378ac90.png)
(i)证明:关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713c59f274e9146b6d85375435315521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a4cb45ca6e42ced4a5c4026e2290f8.png)
(ii)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ca3aa2d1ba52e82613d0d65d800e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713c59f274e9146b6d85375435315521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a4cb45ca6e42ced4a5c4026e2290f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c414bc882fb3c5e364582886c3325c.png)
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名校
解题方法
5 . 如图,正方形
中,
,
,将
沿
翻折到
位置,点
平面
内,记二面角
大小为
,在折叠过程中,满足下列什么关系( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/88fb7daf-5411-4670-ae89-d792a61cea53.png?resizew=138)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e8cfc92fac8debb8bc06293ccc1685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615a5a804704b4c4e97cbd9f84957fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099dd87a526391f830ac2a11e7d7ad56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6c72495428bbbd12cad3271b0654ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d294d69caac577339f11f477b2047e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/88fb7daf-5411-4670-ae89-d792a61cea53.png?resizew=138)
A.四棱锥![]() ![]() | B.角![]() ![]() |
C.![]() | D.![]() |
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名校
6 . 下列命题中,正确的命题的是( )
A.函数![]() ![]() |
B.若函数![]() ![]() ![]() |
C.已知数列![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() |
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2022-07-29更新
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551次组卷
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2卷引用:广东省佛山市第四中学2021-2022学年高二下学期期末模拟数学试题
解题方法
7 . 设小张每次投篮的命中率为
,每次投篮的结果相互独立.当
时,小张投篮5次恰好命中2次的概率
取得最大值.
(1)求
;
(2)若
,记他投篮8次恰好命中3次的概率为
,他投篮10次恰好命中4次的概率为
,试问
,
哪个更大?说明你的理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29c8578f06897aa6fb84aa95c797d3d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098e663b79254b0a2e0e00f92bd14b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1f109f79547d6ae0d94339e689e8f7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3606c4a853a6a34cb7f33bea81b15a1f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098e663b79254b0a2e0e00f92bd14b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be646cd52d7f2f1714e7542e75810f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be646cd52d7f2f1714e7542e75810f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
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名校
8 . 若函数
,给出下面结论:①
为奇函数,②
时有极大值
,③
在
单调递减,④
.其中正确的结论个数( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb79b93fae74ccd7c524bdc1efd52987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb4dc0b5e00b5101e40a90cd41a88ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92be82894508d5fd942f8933e736b728.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e51b142652c3028db4b5e226856bd7.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
2022-07-12更新
|
470次组卷
|
2卷引用:四川省雅安市2021-2022学年高二下学期期末数学(理)试题
9 . 激活函数是神经网络模型的重要组成部分,是一种添加到人工神经网络中的函数.
函数是常用的激活函数之一,其解析式为
.关于
函数的以下结论
①
函数是增函数;
②
函数是奇函数;
③对于任意实数a,函数
至少有一个零点;
④曲线
不存在与直线
垂直的切线.
其中所有正确结论的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b3add6c196752ad67d0816eab7407a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23913d9aff99f90ce0f0fe96886aeee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b3add6c196752ad67d0816eab7407a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b3add6c196752ad67d0816eab7407a.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b3add6c196752ad67d0816eab7407a.png)
③对于任意实数a,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0bdc16fcf7cce8ed866beee16828e70.png)
④曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d373ef598634c09fd59744f8411d4037.png)
其中所有正确结论的序号是
您最近一年使用:0次
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877次组卷
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3卷引用:北京市朝阳区2021-2022学年高二下学期期末质量检测数学试题
10 . 设
,
,
,点A,B分别是
,
图象上任意一点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3d4aa64a22ce09c1b709b1ca37b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdef85d50578d84a92ffcc754f7afddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() |
C.存在a,使![]() |
D.若![]() ![]() ![]() |
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