2021·全国·模拟预测
解题方法
1 . 若存在
且
,使
成立,则在区间
上,称
为
的“倍函数”.设
,
,若在区间
上,
为
的“倍函数”,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f20b947d584a1dc48676c2ae6e2af52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d66b7c668107e5b4779b14bed0b231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f55a7d3360f8f3b42d98116940ebd7.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2021-05-18更新
|
1004次组卷
|
6卷引用:2021年高考最后一卷理科数学(第八模拟)
(已下线)2021年高考最后一卷理科数学(第八模拟)(已下线)第五章 一元函数的导数及其应用单元测试(巅峰版)-【新教材优创】突破满分数学之2020-2021学年高二数学重难点突破(人教A版2019选择性必修第二册)(已下线)专题3-4 超难压轴小题:导数和函数归类(1)-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)(已下线)第七章 导数与不等式能成立(有解)问题 专题四 双变量能成立(有解)问题的解法 微点3 双变量双函数能成立(有解)问题的解法(二)(已下线)专题11 不等式恒成立、能成立、恰好成立问题【讲】北京市第五十七中学2022-2023学年高二下学期3月月考数学试题
名校
解题方法
2 . (1)已知
若
使得
成立 ,求实数a的取值范围.本题解题的关键是应把“
”这一条件转化为
(2)
,
均有
成立,求实数
的取值范围.请写出本题的转化过程,不用计算结果.
(3)已知函数
,
,
是函数
的极值点,若对任意
的,总存在的
,使得
成立,求实数
的取值范围.本题解题的关键是应把“
”这一条件转化为
(4)已知函数
,若存在
,
,使得
,求
的取值范围.
(5) 已知函数
.若
,
是
的两个极值点,且
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d889aed83eb3de697e4941cc172d65d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c20cebe242708e2e5be1041bdea2e1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c368430c7da48f551da8e33aeb3ec0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c368430c7da48f551da8e33aeb3ec0dd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9edacf657300060f533d04cd839bd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e3b2e97106a0651d6756f471e0a610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9435bef426cc8838bfe7511c5e5e7c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1deedac12588a3152e165475dfbaa5ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a61d77911527508524874b212a0937d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36bfb9e7afc6c1a6a5a5dca07d984517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4672f1227c57dd7b11339df9dcdd86b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eca5c282908fef3f0481e376f42c490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eca5c282908fef3f0481e376f42c490.png)
(4)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b62eeec71822417b38cae64d9c43620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2e078c61be9422d603d19368f10f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2fe3251e054fe97089806ba7033f802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cbf8da534490147db4fee75f71a4c19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03bcc0761987a294cda9ca59f5d7e2e.png)
(5) 已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44c73eb4532373dc5f9e3408b8b9640c.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/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/795ed79c2a310d99c9111255d0dc4f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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3 . 已知函数
,其中
,当
时,
;又函数
在
上单调递增,则实数
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd57ea26ad54a7381754ade671ef1ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa7d6aca3d470e5310aebc83345ee09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a6143c45019d4235e6b10ed1b1a031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7db9c637d2e6d6432070fdcaaea39c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
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A.2 | B.![]() | C.1 | D.![]() |
您最近一年使用:0次