题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171830-15833.png)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-58580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-88537.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-22900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
(Ⅲ)是否存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171832-25200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171832-44355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171832-25200.png)
若不存在,说明理由.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171832-17743.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171832-63616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171833-80679.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-58580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171833-17158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171833-27103.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171833-89477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171834-34664.png)
所以曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171834-98091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171834-99092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171834-73514.png)
(Ⅱ)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-22900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171835-31542.png)
由(Ⅰ)知
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171835-49495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171835-48683.png)
经检验,
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171835-48683.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-22900.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171835-97246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171836-44975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171836-10008.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171832-17743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171836-83112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171836-61457.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171836-61457.png)
(Ⅲ)假设存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171832-25200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171837-85379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171837-37129.png)
① 当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171837-24305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171837-86222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171838-13643.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171838-81855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171838-92056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171838-62223.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171838-37975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171839-80593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171839-75123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171839-53175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171839-24948.png)
③ 当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171840-82866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171837-86222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171840-16792.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171838-81855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171838-92056.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171838-62223.png)
综上,存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171839-24948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171837-37129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171831-56119.png)
解析
核心考点
试题【(本题满分14分) 已知(Ⅰ)当时,求曲线在点处的切线方程;(Ⅱ)若在处有极值,求的单调递增区间;(Ⅲ)是否存在实数,使在区间的最小值是3,若存在,求出的值;若】;主要考察你对导数的意义等知识点的理解。[详细]
举一反三
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171817-28855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171818-97660.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171818-95812.png)
(2)当b=1时,若方程
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171818-86897.png)
(3)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171819-82421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171819-59547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171612-11152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171612-45950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171613-65367.png)
A.150毫克/升 | B.300毫克/升 |
C.150ln2 毫克/升 | D.300ln2毫克/升 |
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-17050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-64703.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-97308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-14691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171545-10728.png)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-14691.png)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-14691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171545-97116.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171545-58063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171545-10728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171458-97317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171458-35856.png)
A.![]() | B.![]() | C.![]() | D.![]() |
设
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171434-45964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171434-61643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171435-87573.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171435-19887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171435-96150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171435-31827.png)
(Ⅱ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171436-85284.png)
最新试题
- 1已知a,b,c为整数,且a+b=2010,c﹣a=2009.若a<b,则a+b+c的最大值为( ).
- 2导致全球气候变暖的主要因素是( )A.纬度因素B.海陆因素C.地形因素D.人为因素
- 3在棱长为a的正方体中,M是AB的中点,则点C到平面的距离为( )A.B.C.D.
- 4乐器的性格①乐器和人一样也是有性格的。就像是人的嗓子,有的人嗓子可以唱得高一些,有的人嗓子却只能唱低音。什么样的嗓子唱什
- 5( )的相反数是8;∣﹣∣=( );化简:﹣(﹣5)=( ).
- 6下列各组离子在指定溶液中能大量共存的是( )。A.使酚酞变红色的溶液:Fe3+、Mg2+、SO42-、NO3-B.KN
- 7我国实行对外开放,发展对外经济关系与独立自主、自力更生的关系表述错误的是A.我国实行对外开放,必须始终坚持独立自主、自力
- 8______, there would be no point arguing any longer.A.Was tha
- 9顽皮的同学装神弄鬼吓唬胆小的同学,为了证明世间没有鬼,你可以给怕鬼的同学介绍下列哪位历史人物的观点 [ ]A.
- 10计算(1)(2)(3)
热门考点
- 1— Why do you like koalas? — .A . Because they’re
- 2流感多发季节,老师在教室洒醋、熏艾条是为了控制传染源。
- 3Sandy feels unhappy because nobody seems to _____ her progre
- 4【题文】把文言文阅读材料中画线的语句翻译成现代汉语。(10分)(1)使朕肉可食,当割以啖尔,况子女玉帛乎!(5分)译文:
- 5点P为圆O:x2+y2=a2(a>0)上一动点,PD⊥x轴于D点,记线段PD的中点M的运动轨迹为曲线C.(I)求曲线C的
- 6(10分)如图所示,甲为操作上一质量不计的竖直滑杆,滑杆上端固定,下端悬空,为了研究学生沿杆下滑的情况,在杆的顶部装有一
- 7This is ______ green coat. ______ coat is my sister"s.[
- 8在下列各溶液中,离子可能大量共存的A.无色的碱性溶液中:CrO42-、K+、Na+、SO42-B.使pH试纸变红的溶液中
- 9被困游客位于图中A、B、C、D四点中某一位置,救护直升机停靠在山顶H处,则救护人员能够直接观察到的点是( )A.A点B
- 10“真金不怕火炼”.这句话说明黄金的化学性质在加强热的条件下( )A.很稳定B.很活泼C.易氧化D.易还原