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1 . 函数f(x),g(x)的定义域都是D,直线x=x0(x0∈D),与y=f(x),y=g(x)的图象分别交于A,B两点,若|AB|的值是不等于0的常数,则称曲线y=f(x),y=g(x)为“平行曲线”,设f(x)=ex-alnx+c(a>0,c≠0),且y=f(x),y=g(x)为区间(0,+
)的“平行曲线”,g(1)=e,g(x)在区间(2,3)上的零点唯一,则a的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a27e72b96bc7af66c7472a9d7370e5b.png)
您最近一年使用:0次
2018-06-14更新
|
1720次组卷
|
4卷引用:2017届四川凉山州高三理上学期一诊考试数学试卷
2017届四川凉山州高三理上学期一诊考试数学试卷辽宁省沈阳市东北育才学校2022-2023学年高三下学期高考适应性测试(三)数学试题【全国百强校】北京101中学2017-2018学年下学期高二年级期中考试数学试卷(理科)(已下线)第07讲 利用导数研究函数的单调性(核心考点讲与练)-2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)
2 . 已知函数
,
.
(Ⅰ)求函数
在
上零点的个数;
(Ⅱ)设
,若函数
在
上是增函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6742d703741172e98e2c621f580b63f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb67904d5c5907c0e3d81bda26ef258.png)
(Ⅰ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b697f70853fdaf26aa0027724c1aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f68c6ed09e483db6edf0b4caf5e252.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/300aee990c16295f058b5f54e688980b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2017-10-14更新
|
1223次组卷
|
2卷引用:四川省达州市2018届高三上期10月数学同步测试题(二)理科数学试题
解题方法
3 . 设函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4464050ba1a6bf202ce3852b6a6818d.png)
(1)若直线
是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
图像的一条切线,且
在
上单调递增,求
的取值范围;
(2)若
,且
有两个极值点
,求证:
;
(3)若
,且对任意
,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8245d15dd50edcb262d0c1c082ea0fff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4464050ba1a6bf202ce3852b6a6818d.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bb89aec41e32d27b5f0914c494dead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396f2055f52c0c2ce16a6d456df2ae51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e15c2171c1be9ec394494ad822a048d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3359f8339f50d8f57118c6f0456ea628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a533ddc33a7541560ce63157841b6a2.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19642c54ff5ab8ba089a9d2ffd2e5cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43920f5171ed31db2520ef00e4c5fc24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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