名校
1 . 已知函数
的图象关于原点对称,且当
时, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7345a26c4d99ebd0f1ce04047619b28e.png)
(1)试求
在
上的解析式;
(2)画出函数的图象,根据图象写出它的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7345a26c4d99ebd0f1ce04047619b28e.png)
(1)试求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(2)画出函数的图象,根据图象写出它的单调区间.
您最近一年使用:0次
2021-12-25更新
|
398次组卷
|
5卷引用:黑龙江省哈尔滨市尚志中学2021-2022学年高一上学期期中数学试题
解题方法
2 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/6c1a3d9c-8c44-4b40-bca7-1810488323f4.png?resizew=260)
(1)判断函数
的奇偶性,并证明;
(2)画出函数
的图像;
(3)指出函数
的单调区间,并求出函数
在区间
上的最大值和最小值,并写出在此区间上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a152a3239365b88333aa4aa736631e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/6c1a3d9c-8c44-4b40-bca7-1810488323f4.png?resizew=260)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)指出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2aa311daf7a73f8c45de4462f9d92b6.png)
您最近一年使用:0次
名校
解题方法
3 . 某企业常年生产一种出口产品,根据预测可知,进入
世纪以来,该产品的产量平稳增长.记
年为第
年,且前
年中,第
年与年产量
(万件)之间的关系如表所示:
若
近似符合以下三种函数模型之一:
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/23e0d6fb-cb09-44b8-8a8b-e3bb9f9eb68a.png?resizew=193)
(1)根据表格中数据画出散点图,并判断你认为最适合的函数模型,并说明理由,然后选取
年和
年的数据求出相应的解析式;
(2)因遭受某国对该产品进行反倾销的影响,
年的年产量比预计减少
,试根据所建立的函数模型,确定
年的年产量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1834490aacbee800ed5721312f4be1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6241896e3bb87fa99d76eb2674ce2256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
1 | 2 | 3 | 4 | |
4.00 | 5.58 | 7.00 | 8.44 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8655cb378f71e1f0a612b313d578a4a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a709d20f9a223b729dbc4426fe0b774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35144f86a2824c81dd6af8ee55b2efc5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/23e0d6fb-cb09-44b8-8a8b-e3bb9f9eb68a.png?resizew=193)
(1)根据表格中数据画出散点图,并判断你认为最适合的函数模型,并说明理由,然后选取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6241896e3bb87fa99d76eb2674ce2256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2030a7c508abe4b2a03bc702cf7692d.png)
(2)因遭受某国对该产品进行反倾销的影响,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e5633a5d0cc30b254167e3dda5803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51efd0ca4b6c3d42afdc6b8feb330a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e5633a5d0cc30b254167e3dda5803.png)
您最近一年使用:0次
名校
4 . 已知函数
.
(1)判断函数
的奇偶性,并证明;
(2)画出函数
的图象,并讨论方程
的解的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2351710c91d225375623c79d7507c88a.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b4874cf36b6082ba4d539ff3ee69a3.png)
您最近一年使用:0次
2022-01-16更新
|
382次组卷
|
3卷引用:山西省长治市第二中学校2021-2022学年高一上学期第二次月考数学试题
山西省长治市第二中学校2021-2022学年高一上学期第二次月考数学试题吉林省长春外国语学校2021-2022学年高一上学期期末考试数学试题(已下线)专题6.6 必修第一册期末考试总复习检测2(中)-【满分计划】2021-2022学年高一数学阶段性复习测试卷(人教A版2019必修第一册)
解题方法
5 . 已知函数
,其中
为实数.
(1)当
时,画出函数
的图象,并直接写出递增区间;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/c332c767-c2ff-459f-919f-a084cd2998fc.png?resizew=162)
(2)判断函数
的奇偶性,并说明理由;
(3)若
在
时的取值范围为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a960c992628ae3b85cae0a04112067ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/c332c767-c2ff-459f-919f-a084cd2998fc.png?resizew=162)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89652dd1a1f5233e6f132f4567fadd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
21-22高一·全国·课后作业
解题方法
6 . 已知
在定义域上是奇函数,且在
(
)上是减函数,图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/59818f33-f49c-4cd3-96b9-84847081c3ff.png?resizew=154)
(1)化简:
;
(2)画出函数
在
上的图象;
(3)证明:
在
上是减函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e14206c7d228a7c2259a7b27da8813.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/59818f33-f49c-4cd3-96b9-84847081c3ff.png?resizew=154)
(1)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c11a1a82cc1848d7b859ccf3c5497605.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35d36ae1b7e62350f90a443a72574ac.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35d36ae1b7e62350f90a443a72574ac.png)
您最近一年使用:0次
解题方法
7 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6642b38ae149429b8bf99675b445f78b.png)
(1)在平面直角坐标系中画出函数
的图象;
(2)(ⅰ)求
的值;
(ⅱ)求函数
的值域;
(3)求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6642b38ae149429b8bf99675b445f78b.png)
(1)在平面直角坐标系中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)(ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499109aa338f9c5da30ae0a590809f3b.png)
(ⅱ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b562ca77fa64f3ebe40e0ad49833d5.png)
您最近一年使用:0次
名校
解题方法
8 . 已知定义在R上的奇函数
,当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c438a7c1e7302dfaa7fca4e547c426.png)
![](https://img.xkw.com/dksih/QBM/2021/12/13/2871699469426688/2873166604869632/STEM/79cc13126f474de28fe331a60c255e6f.png?resizew=238)
(1)求函数
在R上的解析式;
(2)画出函数
的简图,并根据图象写出函数单调区间;
(3)若不等式
对任意
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c438a7c1e7302dfaa7fca4e547c426.png)
![](https://img.xkw.com/dksih/QBM/2021/12/13/2871699469426688/2873166604869632/STEM/79cc13126f474de28fe331a60c255e6f.png?resizew=238)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084ffc54dfb4b801304606d2e6968302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294fa7efb75361c4095c4f2f2b2009a9.png)
您最近一年使用:0次
2021-12-15更新
|
493次组卷
|
3卷引用:广东省广州市十六中2021-2022学年高一上学期期中数学试题
名校
解题方法
9 . 已知二次函数
.(要求:画出函数图像)
(1)当
时,求
的最值;
(2)当
时,求
的最值;
(3)当
时,求
的最小值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a359fa56fb08d642d9486aa06aa40cfb.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/626d8e8bba19df463a1b6f4e4d2377cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7924ce4a09eb946ca48c553e52693f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcd78ddf3856a9100e71ee5655a0c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3466b71d1d9117438ed50388a57d9397.png)
您最近一年使用:0次
解题方法
10 . 在同一平面直角坐标系中画出下列函数的图像,并指出它们之间的关系.
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78620c52c1e8b94b828d50863bf3926.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4a90955ae3a90343d164a91e5f835c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57fcdf20c1b55322136cd97f015e0e1.png)
您最近一年使用:0次