设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406728cf15f69df110aebcf191b57187.png)
(1)若对任意
,不等式
恒成立,求实数
的取值范围
(2)若存在
,不等式
成立,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406728cf15f69df110aebcf191b57187.png)
(1)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
20-21高一·上海·假期作业 查看更多[2]
(已下线)第2讲 函数的单调性与最值、奇偶性(考点讲解+分层训练)-2021-2022学年高一数学考点专项训练(人教A版2019必修第一册)(已下线)专题01+不等式的恒成立及有解问题-2020-2021学年新教材高一数学寒假辅导讲义(沪教版2020)
更新时间:2021-03-11 20:37:49
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解答题-问答题
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适中
(0.65)
名校
【推荐1】设函数
.
(1)若命题“
,
”是真命题,求实数m的取值范围;
(2)若对于
,
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c320c1a1eae939018226067144497b4.png)
(1)若命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(2)若对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845cfa0c5cb6f3db0e1a3843f79ec700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/779a8265bfc93971794c7ea09fa3ad29.png)
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适中
(0.65)
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【推荐2】已知函数
,且函数
的图像关于y轴对称,设
.
(1)求
的解析式;
(2)若不等式
在区间
上恒成立,求实数m的取值范围;
(3)若方程
有三个不同的实数根,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/310fbe416386cac8d2a087174fb9f669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c30e5b8f2b6548c5bc3ecebd46ecff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c65017a18e9f5e28fa0f7edd57b077.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc545cd586205c69f7c083144f8c0679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ce639476e0edcf6ce86d41d12c4fd1.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c643b50c754b09c16a2c8689971a59.png)
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解题方法
【推荐1】已知
且
.
(1)设
的定义域为
,若区间
,求
时,
的值域;
(2)
,使得不等式
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d9717982b640fdd4710cc7de38b2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5313c921defe84689aefde4773ad2b56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a56806c9bf7927769af420fdabe96cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/415a31810e32239e5d4a5dfa212d480a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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适中
(0.65)
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【推荐2】已知函数
.
(1)当
时,试判断并证明其单调性.
(2)若存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad91e04a5faf7bc002d8bd42cd4a734.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48350c9f896c18a64f27867ca81c9be2.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942d8cdf0e9dbdb188f8d0fb7ffe9be3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5dea64f8a184b3663dc740683c64fa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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