题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014435-82768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014436-92725.png)
(1)讨论函数f(x)的单调性;
(2)若a=1,函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014436-43852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014436-45931.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014436-93679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014436-54030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014437-70198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014437-93488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014436-54030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014437-50153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014437-23067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014438-13663.png)
解析
试题分析:(1)讨论函数的单调性首先注意明确函数的定义域,由于该函数是超越函数与一次函数的和构成的,所以考虑用导数,先求出函数的导数得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014438-91133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014436-93679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014437-93488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014438-43227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014436-45931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014438-37514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014438-33178.png)
试题解析:(1)定义域为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014437-70198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014438-91133.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014436-93679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014439-24744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014436-54030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014437-70198.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014437-93488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014439-59174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014439-75924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014437-50153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014439-86597.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014437-23067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014439-38699.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014436-54030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014437-50153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014437-23067.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014440-90493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014440-54432.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014440-41551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014438-33178.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014440-19750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014438-33178.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014440-53653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014438-33178.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014441-77979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014441-49972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014441-34495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014441-49972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014441-89611.png)
可知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014442-27636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014442-62783.png)
又当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014441-49972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014442-72380.png)
所以函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014441-89611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014441-49972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014442-20361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014443-96636.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014443-18312.png)
由上可知当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014443-14041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014443-50666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014443-78510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014444-97530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014444-90820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014444-91578.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014441-77979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014441-49972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014444-11193.png)
把
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014443-96636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014444-81954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014443-18312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014445-34806.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014445-38708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014445-15132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014438-13663.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014445-49550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014438-13663.png)
核心考点
试题【已知函数f(x)=-ax(a∈R,e为自然对数的底数).(1)讨论函数f(x)的单调性;(2)若a=1,函数在区间(0,+)上为增函数,求整数m的最大值.】;主要考察你对常见函数的导数等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014425-42418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014425-13459.png)
(1)若函数在区间
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014425-15772.png)
(2)如果当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014426-40617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014426-46245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014421-54137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014421-54933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014412-32326.png)
(1)若a = 3,b = -9,求函数f(x)的极值;
(2)若曲线E上存在点P,使曲线E在P点处的切线与x轴平行,求a,b的关系.
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014351-71650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014352-39337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014352-18424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014352-13467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014352-86114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014352-46850.png)
(1) 如果函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014352-65112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014353-80075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014353-35948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014353-89298.png)
(2) 若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014353-23480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014353-84701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014353-36576.png)
(3) 若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014353-76627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014353-89298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014353-22497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014342-14688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014342-41385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014342-43575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014342-20963.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014342-81621.png)
(2)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018014342-75204.png)
最新试题
- 1对下列句中划线词的理解全部正确的一项是[ ]A.尝与人佣耕(被雇佣) 欣然规往(打算) 蝉则千转不穷(同啭)B
- 2(A)要是以这园子里的声响来对应四季呢?那么,春天是祭坛上空漂浮着的鸽子的哨音,夏天是冗长的蝉歌和杨树叶子哗啦啦地对蝉歌
- 3在“探究小车速度随时间变化的规律”的实验中,如图给出了从0点开始,每5个点取一个计数点的纸 带,其中0、1、2、3、4、
- 4《西游记》中的主要人物孙悟空究竟长什么样,不同艺术家有不同的理解。下面三幅图分别是线描画、卡通画和工笔画里的孙悟空,三者
- 5下列各对算式中,结果相等的是( )A.23和32B.-23与|-2|3C.-32与(-3)2D.(-1)2与(-1)2
- 6阅读下文,完成下面的题。 鱼,我所欲也,熊掌,亦我所欲也;二者不可得兼,舍鱼而取熊掌者也。生,亦我所欲也,义,亦我所欲
- 7阅读下面这首宋词,然后回答问题。(8分)离亭燕张昪①一带江山如画,风物向秋潇洒。水浸碧天何处断?霁色冷光相射。蓼屿荻花洲
- 8The boy ______ to us that his rooster had ______ two eggs in
- 9Taiwan police cannot decide whether to treat it as an extrem
- 10鉴赏古诗《登岳阳楼》,完成下列各题。(5分)登岳阳楼 【唐】杜 甫昔闻洞庭水,今上岳阳楼。吴楚东南坼,乾坤日
热门考点
- 1(15分)如图所示,光滑绝缘水平桌面上的A、B、C三点是等腰直角三角形的三个顶点,AD为三角形的高,∠BAC=90°,B
- 2如图,已知平面内有A、B、C三点,按照下列语句画图:(1)画射线AB;(2)画直线BC; (3)画线段AC
- 3祖国是我们最亲爱的母亲,在她慈祥温暖的怀抱里,我们一天天地成长,母亲见证了我们每一个成长的足迹,我们目睹母亲日新月异的变
- 4臭氧O3是一种有鱼腥味的气体,它能吸收太阳光中对人体有害的紫外线.下列有关臭氧的说法不正确的是( )A.臭氧是一种单质
- 5.下列各组词语中,没有错别字的一组是
- 6William found it increasingly difficult to read,for his eyes
- 7米勒和其他学者的实验说明的是( )A.原始地球能形成原始生命B.原始地球能形成构成生物体的有机物C.生命起源于原始大气
- 8The car ran ___ the direction of Shanghai.A.toB.inC.onD.for
- 9属地球公转产生的现象是[ ]A.太阳东升西落B.经度不同的地方,时刻不同C.季节变化D.昼夜交替
- 10已知a=1+2,b=1-2,则代数式ab的值为______.