名校
1 . 函数
,直线
与函数
的图象相交于四个不同的点,从小到大,交点横坐标依次记为
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92d0e798924d83a5ff96c5fa8a3e0c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d10449bc77d692a7270e0f20a68cdf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35893041a02be39c9d0c1e9b329556eb.png)
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解题方法
2 . 已知函数
的图象是一条连续不断的曲线,且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97aa7457cc4f4f8358a5f6e62a6e1efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fefbe76e89abcb81b8840e62a438260b.png)
A.![]() |
B.![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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3 . 已知
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25150aa44855ee0d069ed3fb599fcc0e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be0c14d0599c9e22ad0efb31675fb0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16ff0152a1a6f71551b43a0193afd41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25150aa44855ee0d069ed3fb599fcc0e.png)
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4 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af75f78d2700123b0f3fa5a316505bd.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bad31768097c1a803b5450190f6a1fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af75f78d2700123b0f3fa5a316505bd.png)
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5 . 已知函数
,在
上单调递增,则实数
的可能取值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f10eac3c12685dfa965e84991064223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.0 | D.3 |
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名校
6 . 下列选项中,下列说法正确的是( ).
A.“![]() ![]() |
B.“![]() ![]() |
C.“![]() ![]() ![]() ![]() |
D.![]() ![]() |
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名校
解题方法
7 . 函数
的定义域为全体实数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff390f518237bbbae6b4eab3a45d75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb71310ec267ea2c2fc0ccaeb2343d0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 已知定义在
上的函数
满足
,当
时,
,且
.
(1)求
;
(2)若
为奇函数,求
的值;
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff087183559c6b1b2be35caee9ab33c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857e07c5fb7f2410d6d267a00889db10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6253c8b6442e8d5a7337e79df7647792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fc8cd302631b86de29e0d9cbe3169d.png)
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名校
解题方法
9 . 以下结论正确的是( )
A.已知![]() ![]() ![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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解题方法
10 . 已知函数
.
(1)若函数
为偶函数,求实数m的值;
(2)若函数
的定义域为
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d52a48ac10a72dd5f2135e73c9b1737.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
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