满分5 >
高中数学试题 >
设集合A={x|(x+3)(x-2)<0},B={x|x+2<0},则A∩B=(...
设集合A={x|(x+3)(x-2)<0},B={x|x+2<0},则A∩B=( )
A.(-2,2)
B.(-3,2)
C.(-3,-2)
D.(2,3)
考点分析:
相关试题推荐
已知数列{a
n}的前n项和S
n满足:S
n=a(S
n-a
n+1)(a为常数,a≠0,a≠1).
(Ⅰ)求{a
n}的通项公式;
(Ⅱ)设b
n=a
n2+S
n•a
n,若数列{b
n}为等比数列,求a的值;
(Ⅲ)在满足条件(Ⅱ)的情形下,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297021_ST/0.png)
,数列{c
n}的前n项和为T
n.求证:T
n>2n-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297021_ST/1.png)
.
查看答案
设A(x
1,y
1),B(x
2,y
2)是椭圆
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297020_ST/0.png)
上的两点,已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297020_ST/1.png)
=(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297020_ST/2.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297020_ST/3.png)
),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297020_ST/4.png)
=(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297020_ST/5.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297020_ST/6.png)
),若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297020_ST/7.png)
=0且椭圆的离心率e=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297020_ST/8.png)
,短轴长为2,O为坐标原点.
(Ⅰ)求椭圆的方程;
(Ⅱ)试问:△AOB的面积是否为定值?如果是,请给予证明;如果不是,请说明理由.
查看答案
已知a∈R,函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297019_ST/0.png)
,g(x)=(lnx-1)e
x+x(其中e为自然对数的底数).
(1)求函数f(x)在区间(0,e]上的最小值;
(2)是否存在实数x
∈(0,e],使曲线y=g(x)在点x=x
处的切线与y轴垂直?若存在,求出x
的值;若不存在,请说明理由.
查看答案
如图,多面体ABCDS中,面ABCD为矩形,SD⊥AD,且SD⊥AB,AD=1,AB=2,SD=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297018_ST/0.png)
.
(1)求证:CD⊥平面ADS;
(2)求AD与SB所成角的余弦值;
(3)求二面角A-SB-D的余弦值.
查看答案
某工厂师徒二人各加工相同型号的零件2个,是否加工出精品均互不影响.已知师父加工一个零件是精品的概率为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297017_ST/0.png)
,师徒二人各加工2个零件都是精品的概率为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212047356929782/SYS201310232120473569297017_ST/1.png)
.
(Ⅰ)求徒弟加工2个零件都是精品的概率;
(Ⅱ)求徒弟加工该零件的精品数多于师父的概率;
(Ⅲ)设师徒二人加工出的4个零件中精品个数为ξ,求ξ的分布列与均值Eξ.
查看答案