题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041005-84079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041005-93883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041005-40514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041005-90592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041006-83316.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041006-61395.png)
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041005-40514.png)
(3)设斜率为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041006-88978.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041006-72698.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041006-41692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041007-30670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041007-18275.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041007-11370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041007-32251.png)
解析
试题分析:本题考查函数与导数及运用导数求切线方程、单调区间、最值等数学知识和方法,突出考查综合运用数学知识和方法分析问题解决问题的能力.第一问,对
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041008-54303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041008-72989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041008-95396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041008-62201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041007-11370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041008-54303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041008-54303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041009-97101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041009-73178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041009-20689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041009-22742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041009-81389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041010-40466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041010-12598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041007-18275.png)
试题解析:(1)依题意得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041010-30487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041010-28033.png)
由函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041005-40514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041005-90592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041006-83316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041011-81804.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041007-11370.png)
(2)由(1)得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041011-50104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041011-40319.png)
∵函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041005-40514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041011-73243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041011-12039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041012-24399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041012-67126.png)
函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041005-40514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041012-42554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041012-14991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041013-50442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041005-40514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041007-32251.png)
(3)证法一:依题意得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041013-93950.png)
要证
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041007-18275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041013-93969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041013-23141.png)
因
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041013-35642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041014-24640.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041014-31417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041014-37012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041009-97101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041014-37012.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041014-46891.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041014-37012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041014-75721.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041009-73178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041015-10002.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041015-42287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041015-37923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041015-97103.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041016-15466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041014-37012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041016-48613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041016-19846.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041009-81389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041015-10002.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041016-86855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041010-12598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041014-37012.png)
综①②得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041009-97101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041014-37012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041007-18275.png)
【证法二:依题意得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041016-79079.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041017-22445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041017-17343.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041017-97112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041017-94249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041018-57447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041018-37431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041018-67493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041018-59487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041018-51831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041019-34620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041019-92041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041019-56822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041019-75063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018041007-18275.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040948-40789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040948-68048.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040948-23349.png)
(2)若对任意
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040949-74049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040949-81973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040949-46656.png)
(3)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040949-45932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040940-23180.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040940-64552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040940-47419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040941-99386.png)
(2)对一切
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040941-59590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040941-15547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040941-53902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040929-66547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040929-66547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040929-16932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040929-66547.png)
A.0个 B.1个 C.2个 D.3个
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040922-63180.png)
(Ⅰ)求a的值;
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040922-93293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040922-51869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040907-84344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040907-64802.png)
(I)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040907-89158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040908-24328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040908-89343.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040908-26882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040908-51835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040909-80204.png)
(Ⅲ)在(I)的条件下,设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040909-37938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018040909-99972.png)
最新试题
- 1在“研究凸透镜成像”的实验中:(1)在光具座上依次摆放好蜡烛、凸透镜、光屏,当点燃蜡烛后,无论怎样调整它们之间的距离,都
- 2It was yesterday_________ he saw me in the park. A. when
- 3已知i为虚数单位,Z=i•(1+2i),则复数Z对应的点位于( )A.第一象限B.第二象限C.第三象限D.第四象限
- 4如图是我国农业分布和发展问题示意图,读后回答各题.(1)能大面积种植水稻和甘蔗等农作物的地区是______:A.A地区
- 50.0571精确到0.01约为______.
- 6下图中,表示氧原子,表示氢原子.根据此图,试回答下列问题.(1)写出该反应的化学方程式______(2)在反应中没有发生
- 7将下列各数填在相应的集合里.-3.8,-10,4.3,-|-207|,-4,0,-(-35)整数集合:{},分数集合:{
- 8如图所示,O为内表面光滑半球形碗的球心,一小球在碗的内表面沿某一水平面做匀速圆周运动,圆心为O′.关于小球做圆周运动的向
- 9一个照明电灯标有“220 V 60 W”字样,现在把它接入最大值为 V的正弦式交流电路中,则( )A.灯的实际功率大
- 10下列各组物质溶于水所得溶液的pH由小到大排列的是( )A.NaCl、HCl、NaOHB.NaOH、NaCl、HClC.
热门考点
- 1过滤实验中用到哪些玻璃仪器?自制简易净水器中,小卵石,石英砂,和蓬松棉的作用是什么?活性炭的作用是什么?
- 2《北京市人民政府关于鼓励支持引导个体私营等非公有制经济发展的意见》明确提出,对非公有制经济停收两项行政事业性收费,即集贸
- 3第十三届“中国青年五四奖章”获得者周俊军是一名普通的驻村民警,入警3年,在无先例、无技术的情况下,仅用一年的时间就建成了
- 461. --- I am not _____ this city. Would you please introduce
- 5已知定义在R上的奇函数f(x)满足f(x+2)=-f(x),则f(6)的值为( )。
- 6用实验验证Zn、Cu、Ag三种金属的活动性顺序,请写出两种可行方案所需的物质.
- 7“夫人臣之侵其主也,如地形焉,即渐以往,使人主失端,东西易面而不自知。故先王立司南以端朝夕。”这一记录最早可能出现在A.
- 8选出与“世治则君子居之而重”中的“治”意思不相同的一项 A.故治国常富,而乱国常贫B.故治国无法则乱C.明于治乱,娴于辞
- 9下列疾病中由激素分泌异常引起的是············· ( )A.沙眼B.侏儒症C.胃炎D.色盲
- 10亚洲是世界上面积最大、东西距离最大的一个洲。[ ]