1 . 已知函数
,
,使
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f52c4033a301e054bdf4d5a30a43a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fd12625a3a193d91c10fe9bd4f8a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290405315ee4986d96be1dd0edae9bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知函数
(
,且
)在
上单调递增,且关于
的方程
恰有两个不等的实数解,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34bef3620f968c9c86e6b0cf30938500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.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/87ba54974a49575686dd8d4d582fdacc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2019-11-10更新
|
685次组卷
|
3卷引用:内蒙古自治区赤峰市赤峰二中、呼市二中2019-2020学年高三上学期10月月考数学(文)试题
名校
3 . 对于函数
,若存在实数对
,使得等式
对定义域中的任意
都成立,则称函数
是“
型函数”.
(1)若函数
是“
型函数”,且
,求出满足条件的实数对
;
(2)已知函数
.函数
是“
型函数”,对应的实数对
为
,当
时,
.若对任意
时,都存在
,使得
,试求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5296b39d62215c77a923ed5674b10b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6c4408416c2c047b19ede33fad2e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5296b39d62215c77a923ed5674b10b01.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eee713b5741ec52c8310ddb64bc0b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5296b39d62215c77a923ed5674b10b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e172e077f8ebc525553c0cb9c42455f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5296b39d62215c77a923ed5674b10b01.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66747115159cdc614c3d696fc7901c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd330acca8e17f5ff9aca1f0f312df50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5296b39d62215c77a923ed5674b10b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5296b39d62215c77a923ed5674b10b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1809a55afaa0910660b371ad693755e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e490b99f63837b836c4aaf4fe1cf11e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3046833aed8c0092740762dcbb0c211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d955a23ae591cd909854301664eb1538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcba86a5df4ed63725136ff15f0cca6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cac2481d2f3a2536e95522b9e685153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2019-01-14更新
|
1171次组卷
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6卷引用:内蒙古赤峰二中2020-2021学年高一上学期第二次月考数学(理)试题
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4 . 已知函数
是关于
的偶函数.
(1)求
的值;
(2)求证: 对任意实数
,函数
的图象与函数
的图象最多只有一个交点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d6e4653a8e6bf9eaf6a2d8383a7b77e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)求证: 对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80e3a3b6c6513a45506f605638f5655.png)
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5 . 如图放置的边长为2的正三角形
沿
轴滚动, 设顶点
的纵坐标与横坐标的函数关系式是
, 有下列结论:
①函数
的值域是
;②对任意的
,都有
;
③函数
是偶函数;④函数
单调递增区间为
.
其中正确结论的序号是________ . (写出所有正确结论的序号)
![](https://img.xkw.com/dksih/QBM/2018/12/14/2096465127694336/2098065228816384/STEM/72a780de714c4beca907bfa2234d6d41.png?resizew=221)
说明:
“正三角形
沿
轴滚动”包括沿
轴正方向和沿
轴负方向滚动. 沿
轴正方向滚动指的是先以顶点
为中心顺时针旋转, 当顶点
落在
轴上时, 再以顶点
为中心顺时针旋转, 如此继续. 类似地, 正三角形
可以沿
轴负方向滚动.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f109ad046f362d8686c7ef9810c568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284d3d48054ce3ad19d29f3876dffebc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba88ee768f02214a4b085f396aecbd7.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2b86a02dd664632816de715c4c0142.png)
其中正确结论的序号是
![](https://img.xkw.com/dksih/QBM/2018/12/14/2096465127694336/2098065228816384/STEM/72a780de714c4beca907bfa2234d6d41.png?resizew=221)
说明:
“正三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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6 . 已知函数
的图象关于原点对称.
(Ⅰ)求
,
的值;
(Ⅱ)若函数
在
内存在零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea87b5dcf1e1199745a27e68c019ffd9.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(Ⅱ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a346cb493dd1ebf439dffa9a3b61e890.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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2018-03-01更新
|
2289次组卷
|
9卷引用:内蒙古赤峰市阿旗2020-2021学年高一上学期上学期数学“双百金科”大联考(文科)试题
内蒙古赤峰市阿旗2020-2021学年高一上学期上学期数学“双百金科”大联考(文科)试题广东省深圳市实验高中部2020-2021学年高一上学期第一阶段测试数学试题山东省乐陵市第一中学2017-2018学年高一上学期期末考试数学试题山东省德州市2017-2018学年高一上学期期末考试数学试题【全国百强校】江西省南昌市第二中学2017-2018学年高二下学期期末考试数学(理)试题北师大版高中数学必修一模块综合测评陕西省咸阳市高新一中2020-2021学年高一上学期期中数学试题第三章 幂、指数与对数【过关测试】-2020-2021学年高一数学单元复习(沪教版2020必修第一册)(已下线)第3章 幂、指数与对数(基础、典型、易错、压轴)分类专项训练-2022-2023学年高一数学考试满分全攻略(沪教版2020必修一)
7 . 已知函数
=
有三个不同零点,则
的范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d39823997ace2c0a24e524294d223eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2016-12-04更新
|
980次组卷
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2卷引用:2015-2016学年内蒙古赤峰二中高一上第二次月考数学试卷
2013·福建·一模
名校
8 . 设函数
的定义域为
,值域为
,若
的最小值为
,则实数a的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/609f890cfd3ade03cd7ed5e413f88299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711e45f600c091e6830c0b70cd012ca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
A.![]() | B.![]() ![]() | C.![]() | D.![]() ![]() |
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