12-13高一上·黑龙江·期末
名校
1 . 方程
的实数解落在的区间是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b9a25a90ff2bb187b1cb9214a19f74.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2016-12-02更新
|
895次组卷
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9卷引用:2011-2012学年云南省蒙自高级中学高一上学期期末考试数学试卷
(已下线)2011-2012学年云南省蒙自高级中学高一上学期期末考试数学试卷(已下线)2011-2012学年黑龙江省緌棱县第一中学高一上学期期末考试理科数学【校级联考】辽宁省辽阳市辽阳县2017-2018学年高一上学期期末考试数学试题(已下线)2012-2013学年浙江湖州菱湖中学高一上学期期中考试数学试卷(已下线)2012-2013学年安徽省周集中学高二上学期期中考试理科数学试卷2014-2015学年广东省增城市新塘中学高一上学期期中考试数学试卷2015-2016学年江西省南昌二中高一上学期期中数学试卷河南省镇平县第一高级中学2019-2020学年高一上学期第三次月考数学试题甘肃省民勤县第一中学2022-2023学年高一下学期开学考试数学试题
10-11高二下·云南玉溪·期末
2 . 已知函数
.
(Ⅰ)求证:函数
在
上单调递增;
(Ⅱ)对
,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49fcaa1129e64bac354185966e57344c.png)
(Ⅰ)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(Ⅱ)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e81ccd02ea3395803e92a1c8615e0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab0e5aca7446296185594905382268c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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13-14高二下·云南玉溪·期末
3 . 若函数
满足
,且
时,
,函数
,则函数
在区间
内的零点的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd77684f5c0e2896f071cc11106fb72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec256776eafedcec7ce084c5f7b1190c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ff65953311c700ffe160fb0d8a1afc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefedd843057e8617fdaaaf053c58c33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa662f0273f0921c1fa4727f632395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764a78adf3ce33b68ea5b4777f144517.png)
A.8 | B.9 | C.10 | D.13 |
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2010·北京石景山·一模
4 . 已知函数
,在点
处的切线方程为
.
(I)求函数
的解析式;
(II)若对于区间
上任意两个自变量的值
,都有
,求实数
的最小值;
(III)若过点
,可作曲线
的三条切线,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/f5259d3bc6004ff290a02bb953f408b2.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/88e53859d9b04560a2e570309de9fdf2.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/6ec791d412e84be6a1aeb24b043ec0a1.png)
(I)求函数
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/59ba723dae9e449488ece8de44d19ad4.png)
(II)若对于区间
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/8778eaf09b8b496a8d6aa9b425ca55cc.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/257f8c0407de4db9a438b5d9f1042c3a.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/12ba0c1edb804e8b9d220060fa0ed7a2.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/7c03731a8f154cff87116c41ad6af005.png)
(III)若过点
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/ed8874c966174811bf45dfb2d8fa9968.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/35a415d8fbdf407fa1915bd0c6266850.png)
![](https://img.xkw.com/dksih/QBM/2014/9/17/1571857020592128/1571857026285568/STEM/3c309915972648f9812943656f40f5b5.png)
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5 . 已知
是定义在
上的奇函数,且
,当![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167913472/STEM/b60e44714fbe414e97027a57d54e666d.png)
,
时,有
成立.
(Ⅰ)判断
在
上的单调性,并加以证明;
(Ⅱ)若
对所有的
恒成立,求实数m的取值范围.
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167913472/STEM/4c94a57dc26240389d1b719aacc41ade.png)
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167913472/STEM/23ee08cf70784295a8922ac758f6b6be.png)
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167913472/STEM/0cb1a0d220b04f638fa00e0d38b434e8.png)
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167913472/STEM/b60e44714fbe414e97027a57d54e666d.png)
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167913472/STEM/23ee08cf70784295a8922ac758f6b6be.png)
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167913472/STEM/cd173ee55c6c40219c3c473998c22f8b.png)
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167913472/STEM/d8f8fc9b29ad4cfa9dcdf5874296ebeb.png)
(Ⅰ)判断
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167913472/STEM/4c94a57dc26240389d1b719aacc41ade.png)
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167913472/STEM/23ee08cf70784295a8922ac758f6b6be.png)
(Ⅱ)若
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167913472/STEM/932418156d07413f843d713a44562a2a.png)
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167913472/STEM/33043c14b8464ed9a58c3c80680970e7.png)
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解题方法
6 . 已知函数
.
(1)当
时,求函数
的最小值;
(2)对
,
成立,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ae3a06e2db61ce958f143eb7f7390b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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