名校
1 . 同时定义在D上的函数
,如果满足对任意
恒成立,且
具有相同的单调性,则乘积函数
也是D上的单调函数.已知函数
.
(1)试判断函数
在区间
上的单调性,并求出其值域;
(2)若函数
在
上满足不等式
恒成立,求实数a的取值范围;
(3)已知
是关于x的方程
的实数根,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c7798fa55adfb47a0bcd52095086b0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d532291921aa03a5fa5418fe664f9598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd843b397888a9d670b267a1b3cd7a89.png)
(1)试判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d532291921aa03a5fa5418fe664f9598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8fcad7338ba22445542a2acaccc4479.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c728f94b77941ae0962f6cc9f72da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36bccfa0a1e8fd98384e6912803f32e1.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e62c65265f8fccd7a5df4a15ac4595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e51720e989624573d41c81c5fb8eff4.png)
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2022-03-19更新
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3卷引用:湖北省宜昌一中、龙泉中学、荆州中学三校2021-2022学年高一下学期3月阶段性检测数学试题