已知函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356933045/SYS201310232120473569330021_ST/0.png)
,其中x∈R,θ为参数,且0≤θ≤
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356933045/SYS201310232120473569330021_ST/1.png)
.
(Ⅰ)当cosθ=0时,判断函数f(x)是否有极值;
(Ⅱ)要使函数f(x)的极小值大于零,求参数θ的取值范围;
(Ⅲ)若对(II)中所求的取值范围内的任意参数θ,函数f(x)在区间(2a-1,a)内都是增函数,求实数a的取值范围.
考点分析:
相关试题推荐
已知函数f(x)=1+sinxcosx,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356933045/SYS201310232120473569330020_ST/0.png)
.
(I)设x=x
是函数y=f(x)的图象上一条对称轴,求
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356933045/SYS201310232120473569330020_ST/1.png)
的值;
(II)求使函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356933045/SYS201310232120473569330020_ST/2.png)
在区间
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356933045/SYS201310232120473569330020_ST/3.png)
上是增函数的ω的最大值.
查看答案
已知定义在R上的函数f(x)和数列{a
n}满足下列条件:a
n=f(a
n-1)(n=2,3,4,…),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356933045/SYS201310232120473569330019_ST/0.png)
,3,4,…),若a
1=30,a
2=60,令b
n=a
n+1-a
n(n∈N
+).
(I)证明数列{b
n}是等比数列,并求数列{b
n}的通项公式;
(II)设c
n=log
2b
n,S
n=c
1+c
2+c
3+…+c
n,求使S
n取最大值时的n值.
查看答案
如图所示,四棱锥P-ABCD中,底面ABCD为正方形,PD⊥平面ABCD,PD=AD=2,E、F、G分别为PC、PD、BC的中点.
(I)求证:PA∥平面EFG;
(II)求三棱锥P-EFG的体积.
查看答案
已知x=2是函数f(x)=(x
2+ax-2a-3)e
x的一个极值点(e=2.718…).
(I)求实数a的值;
(II)求函数f(x)在
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356933045/SYS201310232120473569330017_ST/0.png)
的最大值和最小值.
查看答案
已知锐角三角形ABC中,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356933045/SYS201310232120473569330016_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356933045/SYS201310232120473569330016_ST/1.png)
.
(I)求
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356933045/SYS201310232120473569330016_ST/2.png)
的值;
(II)求tanB的值.
查看答案