1 . 定义一种新的运算“
”:
,都有
.
(1)对于任意实数a,b,c,试判断
与
的大小关系;
(2)若关于x的不等式
的解集中的整数恰有3个,求实数a的取值范围;
(3)已知函数
,
,若对任意的
,总存在
,使得
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2671f593186fa00f17ad26eba7b8f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8c23336002eb5d7c478479fcda799f.png)
(1)对于任意实数a,b,c,试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fda9c56c7993236c0ebdfe08d110ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b98e8a20e1e3d328265269df6b2927ad.png)
(2)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80fef6a2dd7e822d83ae45ea79a5357.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fc1f7733bebb86885b6e6fd0534e1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d8b60555f0d82c386c5b935c23ff952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12965bbc260bdbb0df0a110e59fb8d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93bf66ef253242900ca1702121238b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52dc0bb1b1d25a0e86babc0edc627e44.png)
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2023-07-11更新
|
527次组卷
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3卷引用:山东省青岛市莱西市2022-2023学年高二下学期期末数学试题
名校
解题方法
2 . 已知
、
分别是定义在R上的奇函数、偶函数,
.
(1)判断
的奇偶性,并证明.
(2)若
在
上是增函数,且
,写出不等式
的解集(不必写过程).
(3)若
在
上是减函数,不等式
对于
R恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9ceb5b55dfedecd5ecf4b009d1604c.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9ceb5b55dfedecd5ecf4b009d1604c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd68038af79419ecb0b0a472a653dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9189e6febfe48596b03e2155a51856a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5fe12a49a47e975294d93661f1e8eb5.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e007e8c50cd9e533743e48f35efb33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cfcba8529922d55af307757c303702d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e0309f49a25ffad57e2d2436dc5d0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
您最近一年使用:0次