已知函数
,
.
(1)若函数
在
内有唯一零点,求a的取值范围.
(2)设函数
的最大值、最小值分别为M,m,记
.设
,函数
,当
,
时,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e5a8a2c5eb1378820b13b3ac89fa95c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49200638dacabba433c89091a85a3a89.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47b28cc54ced61f5ab8d310dc76a982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6dd738ca111f49063b03cbb959a451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31a53fafc6c5d5e13ac3eab08f997b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a870bbc137db5ec904afd026c5681bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e212491cebea5ab07e1ee7f2b4e7d2fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdd93b77cc67780afe79261829df669c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c7eb49a823f757461cd5260757b088.png)
22-23高一下·四川眉山·阶段练习 查看更多[4]
四川省眉山市彭山区第一中学2022-2023学年高一下学期5月月考数学试题湖南省衡阳市第一中学2022-2023学年高一下学期期末数学试题河南省部分重点中学2023-2024学年高一上学期12月质量检测数学试题(已下线)湖南省名校2023-2024学年高一上学期12月联考数学试题
更新时间:2023-06-03 20:45:04
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解答题-问答题
|
适中
(0.65)
【推荐1】已知
,其中
且
.
(1)若
在
上是单调函数,求实数
、
的取值范围;
(2)当
时,函数
在
上只有一个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aaedff8f96ce8d3d0020ffe3585e9b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a19bbab2270fc8e694527e801556cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a19bbab2270fc8e694527e801556cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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解答题-问答题
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适中
(0.65)
名校
【推荐2】(1)证明不等式:
(第一问必须用隐零点解决,否则不给分);
(2)已知函数
有两个零点.求a的取值范围.(第二问必须用分段讨论解决,否则不给分)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9fb5a56b8b577e1a06c7a57fb8c8d0.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef434bdd1714edd0752c08e9b0958758.png)
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解答题-作图题
|
适中
(0.65)
解题方法
【推荐1】已知函数
的图象无限接近直线
但又不与该直线相交.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/f9361a04-ad71-4cdb-b3e1-356127d4f498.png?resizew=243)
(1)求函数
的解析式,并画出图象;
(2)若
(
且
),求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f158257bf0270920a5eed6548bea477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/f9361a04-ad71-4cdb-b3e1-356127d4f498.png?resizew=243)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02eee0d5a4ce3c292819a14a5ae9a630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.png)
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解答题-问答题
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适中
(0.65)
名校
【推荐2】设全集为
,集合
.
(1)求
;
(2)已知集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e68ea1f9f989669ec3f1438bd15e06.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a56eb864b1a684c36d58ac8f9e3ea24.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfada98e40a195f68b1ed752a386ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7893cdb324f5378417c1977ce17667a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解答题-问答题
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适中
(0.65)
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解题方法
【推荐3】已知
是定义在
上的偶函数,且
.
(1)求
的解析式;
(2)若不等式
恒成立,求实数
的取值范围;
(3)设
,若存在
,对任意的
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768fb87a4f2ecb86c0cd4e9429f7dfdd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abfd99b062b0e5a5591fce2fd0afa751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0841e5f9359a40bd2c042ed23f6d7fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48fa5cb4b09c5042827e90f5b2071665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983e07314433b8a027b766efeb2c9202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9707bef404f153c87460f079b413d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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