11-12高三上·上海·期末
名校
1 . 已知函数
(常数
.
(1)若
,且
,求
的值;
(2)若
,求证函数
在
上是增函数;
(3)若存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479ae47f656999b127044da3150cbf34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3701a33910739036a505823bc6d75be8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee708f92c52fba2937144d34a967dfee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f148f3e5650bb90bf0d7b28f0c83b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
(3)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d694b058a618cef8296d2fcacd7870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2 . 已知函数
,![](https://img.xkw.com/dksih/QBM/2016/10/20/1573084344827904/1573084350914560/STEM/d89ca161a445413c9db4a9715a63641f.png)
(1)用定义法证明
在
上是增函数;
(2)求出所有满足不等式
的实数
构成的集合;
(3)对任意的实数
,都存在一个实数
,使得
,求实数
的取值围.
![](https://img.xkw.com/dksih/QBM/2016/10/20/1573084344827904/1573084350914560/STEM/999cfaa83f9c45bbb4b356b1fe2ef26b.png)
![](https://img.xkw.com/dksih/QBM/2016/10/20/1573084344827904/1573084350914560/STEM/d89ca161a445413c9db4a9715a63641f.png)
(1)用定义法证明
![](https://img.xkw.com/dksih/QBM/2016/10/20/1573084344827904/1573084350914560/STEM/b518776a5c614ce8acfb0142e11e7173.png)
![](https://img.xkw.com/dksih/QBM/2016/10/20/1573084344827904/1573084350914560/STEM/89c6efd13b344ef3989687e35a9f869a.png)
(2)求出所有满足不等式
![](https://img.xkw.com/dksih/QBM/2016/10/20/1573084344827904/1573084350914560/STEM/188b0aa7cb3143ef93704ce58c4df648.png)
![](https://img.xkw.com/dksih/QBM/2016/10/20/1573084344827904/1573084350914560/STEM/6063c96f8bec46b69bf17ef45baf3d68.png)
(3)对任意的实数
![](https://img.xkw.com/dksih/QBM/2016/10/20/1573084344827904/1573084350914560/STEM/47d5418ca895474cbe6e5055f55aec89.png)
![](https://img.xkw.com/dksih/QBM/2016/10/20/1573084344827904/1573084350914560/STEM/fd0b7b5e6a104c39a085c0580279f355.png)
![](https://img.xkw.com/dksih/QBM/2016/10/20/1573084344827904/1573084350914560/STEM/228bccdfb29641588ee30b55f9ca7f12.png)
![](https://img.xkw.com/dksih/QBM/2016/10/20/1573084344827904/1573084350914560/STEM/485bcc07cf2649e4bec1ef3499c3de2f.png)
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3 . 已知函数
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600add430d0e384dabc1aca80b063642.png)
(1)求
的值;
(2)设函数
,判断
的单调性,并用定义法证明;
(3)若函数
(其中
),
的最小值为0,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600add430d0e384dabc1aca80b063642.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2015/8/19/1572216189452288/1572216195268608/STEM/04cc5d2d7e9e434cb9e69ea6a48c0bf1.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b787ac4f9788a18c2d0f4cac16cc3a32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6849241a559dea65100b167ae117b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4ed8e221df8d62634b506220e1d825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87161aa7e4cfa88516cfaa5f9efbebad.png)
![](https://img.xkw.com/dksih/QBM/2015/8/19/1572216189452288/1572216195268608/STEM/ae9289d95ff549f8af0a82dae51e5cd7.png)
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11-12高一上·河北唐山·期中
名校
4 . 已知函数
的定义域为
,并满足(1)对于一切实数
,都有
;
(2)对任意的
; (3)
;
利用以上信息求解下列问题:
(1)求
;
(2)证明
;
(3)若
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f338ba1e4c2e4b337106e77a33e26f6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90a4571cad0c600a1baee82a63d2bcb.png)
利用以上信息求解下列问题:
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b870dd7feaa2d13197ce384ffb19de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6759f9a00584496e5b85b75036250a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
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解题方法
5 . 已知函数
在
上满足
,且
,
.
(1)求
,
的值;
(2)判断
的单调性并证明;
(3)若
对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da314c06ddf6cb60feaecb52ca9fadd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34bdf025f6472f99b0aa8849bbdcafa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa87c8afbe68c11826b567a26945518.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34a77c4d65f01e583b2f6c5ea97c3e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7938db3cbbf3b986755944aba0174925.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14baa24f143517147128e6b5ee5a01e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知函数
(
)是偶函数.
(1)求实数
的值;
(2)证明:对任意的实数
,函数
的图象与直线
最多只有一个公共点;
(3)设
,若
与
的图象有且只有一个公共点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/556e02fbcc2e08fa6e48893c09a31843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822c62241dcb6c689cb19a259e33e82d.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)证明:对任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47fa0bd4abd1c84b481044538fc17151.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9916d5fa51b7127c14908997eb7bba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 已知函数
,若在定义域内存在
,使得
成立,则称
为函数
的局部对称点.
(1)若
R且
,证明:函数
必有局部对称点;
(2)若函数
在区间
内有局部对称点,求实数
的取值范围;
(3)若函数
在R上有局部对称点,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/775ee5a18e144371a8a42cdedd902527.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/ec88c8a4cb164a0f8c59703aae830d28.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/5222ab4a59ab4d4eb478ffdf3b91c6ec.png?resizew=116)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/ec88c8a4cb164a0f8c59703aae830d28.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/3e6a3889dc0543d6ac72222fb475e1ec.png?resizew=36)
(1)若
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/a699744f9f4b4c0f9339e01606d48b7b.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/487237edd3044222a1764a87d667d991.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/9fff906e13fc45cfa3b2ef366843d973.png?resizew=123)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d7bea24fba81308f946e23ec3e7177.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/7f93ff54c9894043bba11944d9c73500.png?resizew=41)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/ed675a7455f04db78768df40773980f6.png?resizew=17)
(3)若函数
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/75330c18c92a42dc9cb3b135fd1d42a4.png?resizew=187)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550467584/STEM/57f5272791e841bf8237bfd71cd45423.png?resizew=17)
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12-13高一上·浙江杭州·阶段练习
名校
8 . 已知函数
是定义在
上的奇函数.
(I)求实数
的值;
(II)判断
在定义域上的单调性,并用单调性定义证明;
(III)当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c1660300e94d4bf9b60132a4259575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(I)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(II)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(III)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e9b1365d76a10c212db1c91c5f91f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2016-12-01更新
|
2069次组卷
|
3卷引用:2011-2012学年浙江省杭州市十四中高一第一学期阶段考试数学
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