2024高三下·全国·专题练习
解题方法
1 . 已知
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15ea861470c12ba7eafd005c4892c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17f0e8b46abf6e3d0b89a9bf58ec62c.png)
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解题方法
2 . 已知函数
及其导函数
的图象如下图所示,若函数
在
上恰有3个不同的零点
,
,
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4250e1272028150feeab816d9fec43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5175a4148b2a704eb29dd3bb77d033c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e615a5ca4d8e679a19c4e90687c59d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bacde908aec2c313978fc4309d82bc.png)
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名校
3 . 已知偶函数
是定义在
上的可导函数,当
时,有
,则
的解集为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f7fc858ab3d3ecd62747b97eafdf94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c48540d2a1fbdad63512c8c0235bf7.png)
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名校
4 . 已知函数
,若
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667a7103503113f68e083f941c019961.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969e0ea877612922fe8b9d36ff188d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3080b0d2bafa875df275d8ed1f5e22.png)
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2019-06-19更新
|
1220次组卷
|
4卷引用:江苏省苏州市2019届高三上学期期中调研考试数学试题
5 . 已知函数
,若
都有
成立,则满足条件的一个区间是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39dbd8a2ccfb1267cf82dc0e6c37bef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0235ea97c8d940525440412c874f4c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30365e14af15ffa1681e00cbb419bc5.png)
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2018高三下·江苏·专题练习
解题方法
6 . 已知函数
(
是自然对数的底数).若
,则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a566334dffa59cf84fad988cf242c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ffdfe95dceb2b92b23051a16d2a3c1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 已知函数
的定义域为[-1,5],部分对应值如下表,
的导函数
的图象如图所示,下列关于
的命题:
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/07a0711fd3364ccabd4dc971e524082c.png?resizew=167)
①函数
的极大值点为0,4;
②函数
在[0,2]上是减函数;
③如果当
时,
的最大值是2,那么
的最大值为4;
④当
时,函数
有4个零点.
其中正确命题的序号是__________ .
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/21d78f517a0e47bb91fb9516c46dc9ee.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/d454bc1abd40426e86998926bad4d36f.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/5ea22c337c294dffb2c7acb08fb1c12c.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/21d78f517a0e47bb91fb9516c46dc9ee.png?resizew=36)
-1 | 0 | 4 | 5 | |
1 | 2 | 2 | 1 |
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/07a0711fd3364ccabd4dc971e524082c.png?resizew=167)
①函数
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/21d78f517a0e47bb91fb9516c46dc9ee.png?resizew=36)
②函数
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/21d78f517a0e47bb91fb9516c46dc9ee.png?resizew=36)
③如果当
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/63a13fd698694c7986959260129e81e4.png?resizew=64)
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/21d78f517a0e47bb91fb9516c46dc9ee.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/4eb143cf86df4c829b2e7050a9524f86.png?resizew=9)
④当
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/00b1a3c5c8d848e4912ffdb4d81a575d.png?resizew=57)
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677482773700608/1678545825923072/STEM/ebc48be908704f23ae6c0688acb6373a.png?resizew=84)
其中正确命题的序号是
您最近一年使用:0次
10-11高三·浙江温州·期中
解题方法
8 . 对于函数
,若
有六个不同的单调区间,则
的取值范围为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8176b3e605453c283d89724b86965d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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