1 . 设函数
,且
,则k=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fd705fd9236d46825a1792f6db2ce1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/488a856936f25fb61cd885318940d205.png)
A.0 | B.-1 | C.3 | D.-6 |
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2016-12-02更新
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2225次组卷
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8卷引用:【校级联考】湖北省部分重点中学2019届高三上学期期中考试数学(理科)试题
【校级联考】湖北省部分重点中学2019届高三上学期期中考试数学(理科)试题(已下线)2014届陕西西安铁一中国际合作学校高三下第一次模拟考试文科数学试卷(已下线)2014届陕西省西安铁一中高三下学期第一次模拟文数学试卷(已下线)专题3.1 导数的概念及运算、定积分(精练)-2021届高考数学(文)一轮复习讲练测2014年湘教版选修2-2 4.2导数的运算练习卷【全国百强校】陕西省西安市长安区第一中学2017-2018学年高二下学期期末考试数学(文)试题2018年秋人教B版数学选修1-1模块综合检测【全国百强校】福建省厦门外国语学校2018-2019学年高二下学期第一次月考数学(文)试题
2 . 对于三次函数
,给出定义:
是函数
的导函数,
是
的导函数,若方程
有实数解
,则称点
为函数
的“拐点”.某同学经研究发现:任何一个三次函数都有“拐点”;任何一个三次函数都有对称中心,且拐点就是对称中心.若
,请你根据这一发现,求:(1)函数
的对称中心为__________ ;(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dae2f8d466ecd9004f50f01c2aad8.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012429b7101ba0f84e7b45598ed12db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10acd6d864583617dd3e71240bf0c857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1fa6ca9eb7cea9131dad36db6a0ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f087ded8039eedaa8aa724b81ec393e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f087ded8039eedaa8aa724b81ec393e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dae2f8d466ecd9004f50f01c2aad8.png)
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3 . 已知函数
的对称中心为M
,记函数
的导函数为
,
的导函数为
,则有
.若函数
,则可求得:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc1efe2389e5304411a454603388f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d29b1fe2206302a19b023d6e386ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e448fab5eb126f2b9a36e5c156ae19.png)
____ .
![](https://img.xkw.com/dksih/QBM/2012/10/30/1571042283757568/1571042289131520/STEM/c2e92b2070db4cfab39e3c1baa5a73dd.png?resizew=221)
![](https://img.xkw.com/dksih/QBM/2012/10/30/1571042283757568/1571042289131520/STEM/75231a5e41b447368260cda58a6affd8.png?resizew=57)
![](https://img.xkw.com/dksih/QBM/2012/10/30/1571042283757568/1571042289131520/STEM/41b9838248024ffd81c20725715c66c8.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2012/10/30/1571042283757568/1571042289131520/STEM/74ec91c753d44033828821193dd0a3b9.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2012/10/30/1571042283757568/1571042289131520/STEM/74ec91c753d44033828821193dd0a3b9.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2012/10/30/1571042283757568/1571042289131520/STEM/76bc828f66684e5a9cdbd968794d6d40.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2012/10/30/1571042283757568/1571042289131520/STEM/9855b80d0a824e149df69f46f8442d1e.png?resizew=79)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28034dcafe542a98d95d4504ad7d8a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc1efe2389e5304411a454603388f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d29b1fe2206302a19b023d6e386ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e448fab5eb126f2b9a36e5c156ae19.png)
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4 . 函数
的导函数为
,若对于定义域内任意
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
,有
恒成立,则称
为恒均变函数.给出下列函数:①
;②
;③
;④
;⑤
.其中为恒均变函数的序号是__________________ .(写出所有满足条件的函数的序号)
![](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/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f3560f0c5eedffa5ce38fde2db28c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f374eb03a1bcb534d0dcaaaa2c34e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2811c1d654ee2279908037b36f831536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a359fa56fb08d642d9486aa06aa40cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89be9dad6ebdddf9a3ac7abb393449e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1a0a97b04a01e7e8c9ebbcdd5f373d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0d68abb8daeb660a8769a9e6e7912be.png)
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2016-12-01更新
|
1016次组卷
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9卷引用:北京东城27中学2018届高三上学期期中考试数学试题
北京东城27中学2018届高三上学期期中考试数学试题(已下线)2012届北京市丰台区高三上学期期末考试理科数学(已下线)2012届北京市丰台区高三上学期期末考试文科数学(已下线)2012届甘肃省武威六中高三第二次诊断性考试理科数学试卷四川省泸州市泸县第一中学2020-2021学年高三上学期一诊模拟考试理科数学试题四川省泸州市泸县第一中学2020-2021学年高三上学期一诊模拟考试文科数学试题(已下线)2013-2014学年山东省济宁市汶上一中高二5月质量检测理科数学试卷北京名校2023届高三二轮复习 专题一 函数与导数 第3讲 导数及其应用(已下线)技法提升2 用构造法解决f(x)与f'(x)共存的不等式问题
2011·河南洛阳·一模
解题方法
5 . 函数
是
的导函数.
(Ⅰ)求函数
的最大值和最小正周期;
(Ⅱ)若
求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89962b747033e0b86da65e5703221f7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅰ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10432601cc862fa097550e93385f4b8a.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094b5f6c20d61449cae597d397b98be1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411f68eec1ebd1454857c147494671b2.png)
您最近一年使用:0次
2011·北京丰台·一模
6 . 已知函数
,
为函数
的导函数.
(1)设函数
的图像与
轴交点为A,曲线
在A点处的切线方程是
,求
、
的值;
(2)若函数
,求函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a413d30d3fdf775f3c327d5c00063ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b3ba8cc918cbc35312705dd2647bc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a5e9842affcb7f50cc165ba2d627848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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