1 . 中国文化之美照亮生活,宋代的几何图案(图1)注重理性和逻辑的文化风气,中式美学的另一种浪漫,蕴含着数学对称之美.几何图案由函数,
,
与函数
(
)图像(如图2)分别关于
轴、
轴及原点
对称所得(如图3).
(1)若图3构成正八边形
,求实数m的值;
(2)若关于
的方程
有两个不相等实数根
,
.
①求实数m的取值范围;
②求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df28f28107cb72571abc94291e2c05d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4412dd71a98012db25a3535bbfe171a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/80f5a0e8-832b-4b49-a2bf-c8e39893899c.png?resizew=268)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/f7548380-7820-4b02-937c-d6a9350dbaed.png?resizew=158)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/af57deb0-f9c4-4a4a-a617-b89a37e24a2a.png?resizew=194)
(1)若图3构成正八边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9587df831df1af5e7dd6be5fdc7bd8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
①求实数m的取值范围;
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cca093c8d357efeb34eae478368e58e.png)
您最近一年使用:0次
名校
解题方法
2 . 已知幂函数
的图像关于点
对称.
(1)求该幂函数
的解析式;
(2)设函数
,在如图的坐标系中作出函数
的图像;
(3)直接写出函数
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71dbe61fc5791b5948155021eae2ce9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b6a9ffffc0c461881b427c543924cd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/2/73ef882d-875d-4e54-9ada-e881544d2f38.png?resizew=203)
(1)求该幂函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/534ffd1dd846f0ac5b8f3747d94f0501.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(3)直接写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880270d8cc1cf4f9e380f8963cb9f84f.png)
您最近一年使用:0次
2023-09-01更新
|
709次组卷
|
8卷引用:6.1 幂函数(2)-【帮课堂】(苏教版2019必修第一册)
(已下线)6.1 幂函数(2)-【帮课堂】(苏教版2019必修第一册)(已下线)第6章 幂函数、指数函数和对数函数章末题型归纳总结 (2)-【帮课堂】(苏教版2019必修第一册)吉林省长春市新解放学校2022-2023学年高一上学期期末数学试题江西省宜春市丰城市东煌学校2024届高三上学期9月月考数学试题(已下线)模块四 专题7 大题分类练(幂函数、指数与指数函数)拔高能力练(人教A)(已下线)第三章 函数的概念与性质(3)-速记·巧练(人教A版2019必修第一册)(已下线)难关必刷02 函数的性质及应用-【满分全攻略】(人教A版2019必修第一册)(已下线)第4章 幂函数、指数函数与对数函数 单元测试卷-同步精品课堂(沪教版2020必修第一册)
21-22高一·湖南·课后作业
3 . 已知幂函数
.
(1)若
的图象在
时位于直线
的上方,求实数
的取值范围;
(2)若
的图象在
时位于直线
的上方,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b004a3a05707d51aead0978a088fdf3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ac2dec993e1dcd5d8a848298ba0080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f648f2cd0b3784602d678653c406bb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
4 . 请把相应的幂函数图像代号填入表格.
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/c140f78249fd4da08d96222d65735375.png?resizew=129)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/028af3360fe84ce1b7e6214228aab94a.png?resizew=124)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/fc66f7b6296a4c44ac8912ee5f2955e9.png?resizew=129)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/602d2f1b6e1f42e98002383a023646b4.png?resizew=130)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/bb06329a7ded4c75a2ad54298e9acbe2.png?resizew=131)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/187b5256bc044334b6b9538af958794d.png?resizew=120)
①
;②
;③
;④
;
⑤
;⑥
;⑦
;⑧
.
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/c140f78249fd4da08d96222d65735375.png?resizew=129)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/1184f2a1c86d48ef8d29f01c80bd9b0c.png?resizew=133)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/9d28a6aaaedc42008fd5dd94d53068f9.png?resizew=126)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/028af3360fe84ce1b7e6214228aab94a.png?resizew=124)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/fc66f7b6296a4c44ac8912ee5f2955e9.png?resizew=129)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/602d2f1b6e1f42e98002383a023646b4.png?resizew=130)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/bb06329a7ded4c75a2ad54298e9acbe2.png?resizew=131)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878917912567808/2880407576150016/STEM/187b5256bc044334b6b9538af958794d.png?resizew=120)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e87b5d998252950639557ec2b8946d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/175da291995b66f7a5e4e770062fbaba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6534777c164d9da542e2c505bdba8e0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e95e9ced21d462feb723ad74690d8a2.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b87e78256e9afeb56ef82106e9d895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be763b164393b93d626b642b761d55d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1433cbc9321c0a628cc0797b8031db70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ecfcd5b50fd6948f62581fea8f0c0b5.png)
函数代号 | ① | ② | ③ | ④ | ⑤ | ⑥ | ⑦ | ⑧ |
图像代号 |
您最近一年使用:0次
5 . 已知函数
和
的大致图象如图所示,设这两个函数的图象相交于点
和
,且
.
![](https://img.xkw.com/dksih/QBM/2021/11/8/2846959425159168/2847642620936192/STEM/30ec40c2-cee5-427d-91b8-fdb5de612385.png?resizew=262)
(1)请指出图中曲线
,
分别对应哪一个函数;
(2)若
,
,且
,
,指出a,b的值,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda16bdd2671a8e299a0d9c00504202d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://img.xkw.com/dksih/QBM/2021/11/8/2846959425159168/2847642620936192/STEM/30ec40c2-cee5-427d-91b8-fdb5de612385.png?resizew=262)
(1)请指出图中曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9871017384ff5466a88030200cd2413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7a27749f0a44d49510c58e33e1a6cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d896744c44a1d3efd92a690579f6cb8.png)
您最近一年使用:0次
2021-11-09更新
|
233次组卷
|
6卷引用:第6章 幂函数、指数函数、对数函数(章末测试基础卷)-2021-2022学年高一数学同步单元测试定心卷(苏教版2019必修第一册)
20-21高一·江苏·课后作业
解题方法
6 . 先画出下列函数的图象,再求出每个函数的值域:
(1)
,
;
(2)
,
;
(3)
,
;
(4)
,
为正实数.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1804c8cc2797e07d5a08f480ea0b69e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8f34a7653d92ad0162066b2170aec7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58bbbdde60cf4f80c3ea6a1740edba5.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ede389b43c78417912542746d91d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04e67e37fbf0c78aeb7278a9ae1cb8.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6201963fcdd54887f2af50518bd908a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
20-21高一·江苏·课后作业
7 . 画出下列各个函数的图象,并说明这些函数的图象与函数
的图象之间的关系.
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef469c7b7cb9945b984222381b9c000.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3ac9347e120e918e4cfac7c231028d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050028c98ce029d301fca37ec1945d4d.png)
您最近一年使用:0次
20-21高一·江苏·课后作业
解题方法
8 . 试结合函数图象比较
,
,
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee38d4a35f9347940ba44ba82ebd6056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619561f43814417d2675d3dde7e2f738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
您最近一年使用:0次
名校
9 . 已知幂函数y=xm-6(m∈Z)和y=x2-m(m∈Z)的图象都与x轴、y轴无交点,且函数y=x2-m(m∈Z)的图象关于y轴对称,求m的值.
您最近一年使用:0次
2021-10-30更新
|
269次组卷
|
6卷引用:6.1 幂函数
(已下线)6.1 幂函数沪教版 高一年级第一学期 领航者 第四章 4.1 幂函数的性质与图象(1)4.1综合训练 课堂小练(已下线)【第一练】3.3幂函数(已下线)3.3幂函数 【第一练】“上好三节课,做好三套题“高中数学素养晋级之路上海市浦东新区上海海洋大学附属大团高级中学2023-2024学年高一上学期第二次月考数学试题
20-21高一·江苏·课后作业
10 . 画出函数
的图象,并指出其奇偶性、单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e87b5d998252950639557ec2b8946d0.png)
您最近一年使用:0次
2021-10-30更新
|
348次组卷
|
3卷引用:6.1 幂函数