满分5 >
高中数学试题 >
定义:对于映射f:A→B,如果A中的不同元素有不同的象,且B中的每一个元素都有原...
定义:对于映射f:A→B,如果A中的不同元素有不同的象,且B中的每一个元素都有原象,则称f:A→B为一一映射.如果存在对应关系φ,使A到B成为一一映射,则称A和B具有相同的势.给出下列命题:
①A={奇数},B={偶数},则A和B 具有相同的势;
②A是直角坐标系平面内所有点形成的集合,B是复数集,则A和B 不具有相同的势;
③若A={
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616015_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616015_ST/1.png)
},其中
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616015_ST/2.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616015_ST/3.png)
是不共线向量,B={
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616015_ST/4.png)
|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616015_ST/5.png)
与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616015_ST/6.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616015_ST/7.png)
共面的任意向量},则A和B不可能具有相同的势;
④若区间A=(-1,1),B=(-∞,+∞),则A和B具有相同的势.
其中真命题为
.
考点分析:
相关试题推荐
在曲线
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616014_ST/0.png)
上,仅存在四个点到点(1,0)距离与到直线x=-1的距离相等,则t的取值范围是
.
查看答案
设面积为S的平面四边形的第i条边的边长为a
i(i=1,2,3,4),P是该四边形内一点,点P到第i条边的距离记为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616013_ST/0.png)
,类比上述结论,体积为V的三棱锥的第i个面的面积记为S
i(i=1,2,3,4),Q是该三棱锥内的一点,点Q到第i个面的距离记为d
i,若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616013_ST/1.png)
等于
.
查看答案
若f(x)在R上可导,f(x)=x
2+2f′(2)x+3,则∫
3f(x)dx=
.
查看答案
抛掷一枚骰子,当它每次落地时,向上的点数称为该次抛掷的点数,可随机出现1到6点中的任一个结果,连续抛掷三次,将第一次,第二次,第三次抛掷的点数分别记为a,b,c,求长度为a,b,c的三条线段能构成等腰三角形的概率为( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616011_ST/0.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616011_ST/1.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616011_ST/2.png)
D.
查看答案
已知A,B,P是双曲线
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616010_ST/0.png)
上不同的三点,且A,B连线经过坐标原点,若直线PA,PB的斜率乘积
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616010_ST/1.png)
,则该双曲线的离心率为( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616010_ST/2.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616010_ST/3.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123758580261672/SYS201310251237585802616010_ST/4.png)
D.
查看答案