2010·广东·三模
名校
1 . 若对任意
,
有唯一确定的
与之对应,则称
为关于
,
的二元函数,现定义满足下列性质的
为关于实数
,
的广义“距离”.
(
)非负性:
,当且仅当
时取等号;
(
)对称性:
;
(
)三角形不等式:
对任意的实数
均成立.
给出三个二元函数:①
;②
;③
,
则所有能够成为关于
,
的广义“距离”的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc4d5f4cc4f20f44adbae0d2373681b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c3c1ed4fb65ab9505ad8078d8d0fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c3c1ed4fb65ab9505ad8078d8d0fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c3c1ed4fb65ab9505ad8078d8d0fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638df541efb3448608fbad59195e7c99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b9d5aaaceaa3ac514d17fcfefbf9b4.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f0d10d93a4cd75d6987cffce7ce7a84.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb1647c7592d692093ccb10ba99ff0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
给出三个二元函数:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f322b17f7284251845f84b376f2ec134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6820cb93dea9eb8430dc184664acb4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c112be1d02723667d2932f0b18eab7ed.png)
则所有能够成为关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
2017-12-24更新
|
740次组卷
|
4卷引用:广东省华南师大附中2010届高三第三次模拟考试数学试卷(理科)
(已下线)广东省华南师大附中2010届高三第三次模拟考试数学试卷(理科)北京市西城区44中2018届高三上12月月考数学试题北京市西城44中2017届高三12月月考数学(理)试题2019年上海市上海中学高三下学期数学测试2数学试题
13-14高一上·广东揭阳·期中
2 . 给出下列四个命题:
①函数
与函数
表示同一个函数;
②奇函数的图象一定通过直角坐标系的原点;
③函数
的图像可由
的图像向上平移1个单位得到;
④若函数
的定义域为
,则函数
的定义域为
;
⑤设函数
是在区间
上图象连续的函数,且
,则方程
在区间
上至少有一实根;
其中正确命题的序号是_____________ .(填上所有正确命题的序号)
①函数
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/ffa6ffd749f745b2aaa2f4b020004b3e.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/f575d9256c734eb48e71c543c547090f.png?resizew=69)
②奇函数的图象一定通过直角坐标系的原点;
③函数
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/531a524c19bd43f6a77746dcb32a3cee.png?resizew=74)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/61e92f5575b34e89970f1e9f9a3d437e.png?resizew=53)
④若函数
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/52ceae758f1641e29bc2bbd5cc6df5c5.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/90b79e18abf0409bb0cb4a8461ee4179.png?resizew=33)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/cc1ac9c49d234bf98b3be8ec774a671f.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/6dfd7259dc6d42fdb4771061fef3f070.png?resizew=33)
⑤设函数
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/0d71c8b1521a459a89e6517043388535.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/c377fd8937c34c3491c64aa40f612a6b.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/82dcd38350c3490182b0a4e43ee2302e.png?resizew=96)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/f286c435d64a4bd1856cce01d6544195.png?resizew=59)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572236647145472/1572236652945408/STEM/c377fd8937c34c3491c64aa40f612a6b.png?resizew=35)
其中正确命题的序号是
您最近一年使用:0次
10-11高二上·广东深圳·期中
3 . 已知函数
的一个零点为
,另外两个零点分别可作为椭圆和双曲线的离心率,则
的取值范围是______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05eb2f55115fefb39c48d96ab39a8f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
您最近一年使用:0次