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1 . 若
是
上单调函数,且对任意
都有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/569ace36fb0f5aa4a5c721512dfae0e8.png)
_____
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c10cdd56cdfbea77aedbc4350fa75cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/569ace36fb0f5aa4a5c721512dfae0e8.png)
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解题方法
2 . 若
是R上的严格增函数,且
,
,设
,
,若
是
的充分不必要条件,则t的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f1902a3b84b9d53491317d7bf121cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896df31f80127adbae738b3a014bd4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbcb1c8b29fe28c6a975c4c1fa2f1f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e6fa2f85653ef3958674580b032f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320a7c616f6f7207a0a38bb707ac2205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3591abc88bdadaf5fee459f4620fbd47.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知函数
,且
,
,
,则
的值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6748b289fb5d9e766a7998210ba5b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ecda7bfb0a2043306bf7707a136ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a38efe32b0f0306f1dd1158ac2bd6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c183092d509616ee0d8c4cfd3d4834b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fbfd671b645c15fbb3d6bf019091eb.png)
A.恒为正 | B.恒为负 | C.恒为0 | D.无法确定 |
您最近一年使用:0次
2019-12-02更新
|
263次组卷
|
2卷引用:上海市上海交通大学附属中学2017-2018学年高一上学期12月月考数学试题
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4 . 对于定义域为
的函数
,如果存在区间
,同时满足:①函数在区间内是单调函数;②当定义域为
时,
的值域也是
,则称
是该函数的和谐区间.
(1)求证:函数
不存在和谐区间;
(2)已知:函数
有和谐区间
,当
变化时,求出
的最大值;
(3)易知,函数
是以任一区间为它的“和谐区间”,试再举一例有和谐区间的函数,并写出它的个和谐区间(不需要证明,但是不能用本题已经讨论过的
以及形如
的函数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e1c4e16e2ff56b5eb232e64fb16f63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d86f0ed74dbc08b364e8e9d972be06.png)
(2)已知:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1e476b61058e4bad76051c3539f5f10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
(3)易知,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f06791e930c500232578cf72369475.png)
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5 . 若函数
在区间
上为增函数,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d3aa0e757a849914b80994bd1e75ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e0400d730672ae2110ff48786dd1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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6 . 已知函数
,
在
上是增函数,则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2816e0b3a388fcd766122e5cfee3ddbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b93abe2a497b7ef3cb8c1b9de8492e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ff4a1f5d3ad9d7668fe555e70b774c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 已知函数
(
,常数
).
(1)当
时,求不等式
的解集;
(2)根据
的不同取值,判断函数
的奇偶性,并说明理由;
(3)若函数
在
上单调递减,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a14a2156c6690b324f7929b3b3553970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e451f18c97bc90b2216351fd73bf00af.png)
(2)根据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-12-02更新
|
243次组卷
|
2卷引用:上海市进才中学2019-2020学年高一上学期期中数学试题
名校
8 . 已知函数
的定义域为R,且
的图像过点
.
(1)求实数b的值;
(2)若函数
在
上单调递增,求实数a的取值范围;
(3)是否存在实数a,使函数
在R上的最大值为
?若存在,求出a的值;若不存在,请说明理由?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90fa32373cafdda4640ab1084b45db93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b727eb9da56be079445321cf61cf26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
(1)求实数b的值;
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
(3)是否存在实数a,使函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7533b6c75a31f7621a7becdd059e6bb3.png)
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9 . 设函数
的单调减区间是
,则实数
的值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55237d3902e1656020281cda117549ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f545a87bd651b061768225748b78c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-12-11更新
|
192次组卷
|
2卷引用:上海市奉贤中学2018-2019学年高一上学期12月月考数学试题
10 . 函数
在
是严格增函数,则实数a的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6addc377ee23c6519160ded80424d052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d7e39db25ec0e567292ca11eed8246.png)
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