解题方法
1 . 已知
,
.
(1)求函数
在区间
上的最小值.
(2)对于任意
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98348a6484adcce636bb7220a69d8678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a6ef2184999b10fa0193f79db45467.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
(2)对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e32125207addc3fdb92ceb0ec80ce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2f3f41ca28e9b91f24579f7d5680a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2 . 已知定义在区间
上的函数
,若存在
时,
成立,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e14dc4ff066799a32c81b53dce70c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab516094f03e6f6f194b783b8a2ebe59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e17ca3557ea42ffe76cb7b3b7dd04d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
3 . 设
,函数
,当
时,
的值域是______ ;若
恰有一个零点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f306d2b261f4c39a9fc0858d96e647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93955c5a47d255c0990f336a5fc2779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ea0e903fbb4c8ce04133b9969578c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
4 . 已知函数
,且
,若函数
有三个不同的零点,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e2588d79c793fc8a568fb3f08fcf4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知函数
,当
时,不等式
的解集是______ ,若
恰有2个零点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68dfcd9c934fc39cff91f2ee0652599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
6 . 设函数
的定义域为R,且
,
,当
时,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b3b657ebd1733b4f19dcbec44919924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5364cd27f975b4728a70169af9a61a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8baf73d15ca9ca9c5ea66e366a5969.png)
A.![]() | B.![]() |
C.![]() | D.函数![]() |
您最近一年使用:0次
7 . 设函数
,若
恰有两个零点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e945d298b3dd7787bc81463307b700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 已知函数
.
(1)若
,判断
在
上的单调性,并用单调性的定义证明;
(2)设函数
,若对任意
,总有
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f44e619b41991f2002cc203be8d6f3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2773b25d35138dad01fadf8632f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d5a5e70f64f0933ae1e4ddec5fa2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92a39100a738af90edc8da0fc3c5b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347ac85769012f89d1f9951684e1d7b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-02-21更新
|
453次组卷
|
2卷引用:海南省2023-2024学年高一上学期期末学业水平诊断数学试题(一)
9 . 已知函数
,若方程
有2个实数根,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8674c1659b9d9592702a191d9218a329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f971d75439e52bbc8f367f8b1730335a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
10 . 已知函数
的定义域为
,若对任意的正实数
,函数
在
上单调递增,则称函数
具有性质
,给出下列四个结论:
①
在
上单调递增,则
具有性质
;
②
具有性质
不具有性质
;
③
具有性质
不具有性质
;
④若函数
具有性质
,且
,则
.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f7740d3e02e7aab4dd7051450fcf33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c784c1a3db40ea4fa7a9aecd75ce93c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8257463027787d1b9cd3bfa38443eca9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4143b9cf28ca41835a39b1692e489b.png)
其中所有正确结论的序号是
您最近一年使用:0次