名校
解题方法
1 . 定义函数
:对于任意实数
,如果存在整数
满足
,那么
,设函数
,以下命题:
①函数
是奇函数;
②函数
的值域为
;
③方程
有无数解:
④函数
的最小正周期为
;
⑤函数
不存在单调递减区间.
其中真命题是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a61c12cee2651c4b38806bf1e1fe03c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91090c0f13052f9c91ad0546ce422e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb1b36d711ea3af8b6f04101c6c2255.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
③方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb381ac86308c6249bc7e8737cdc668d.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
⑤函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
其中真命题是
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2 . 如果函数
的定义域为
,且存在实常数
,使得对于定义域内任意
,都有
成立,则称此函数
具有“性质
”.
(1)判断函数
是否具有“
性质”,若具有“
性质”,求出所有
的值的集合,若不具有“
性质”,请说明理由;
(2)已知函数
具有“
性质”,且当
时,
,求函数
在区间
上的值域;
(3)已知函数
既具有“
性质”,又具有“
性质”,且当
时,
,若函数
的图像与直线
有2017个公共点,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80a01118f21516915cb177acc3d1220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f58bad098fdd79b12c9c66daa46c07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e691589e9aafddefcbb613c7030f89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f572a9d4d946843a178e90fa5e5800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e691589e9aafddefcbb613c7030f89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bea0dd7e474bcd04db2544427ba0488.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6343069217cd6d8dd32446da428dae46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09dcff07bb0d9e583a534c663ba2477f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e1793dd78ce35197f7a7f65d142a5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近一年使用:0次
2019-09-18更新
|
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4卷引用:上海市高桥中学2020届上学期高三开学考数学试题
上海市高桥中学2020届上学期高三开学考数学试题江苏省南通市海安市海安高级中学2019-2020学年高一上学期10月月考数学试题江苏省南通市海安高级中学2019-2020学年高一上学期10月月考(创新班)数学试题(已下线)专题08 函数的奇偶性、对称性及周期性压轴题-【常考压轴题】
3 . 定义域和值域均为
(常数
)的函数
和y=g(x)的图像如图所示,给出下列四个命题:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/bc808ecf-9da8-4b4c-9643-28d4b712c32f.png?resizew=325)
(1)方程
有且仅有三个解;
(2)方程
有且仅有三个解;
(3)方程
有且仅有九个解;
(4)方程
有且仅有一个解;
那么,其中正确命题的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf931ce8b0ed2de7fed7e79279601cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/bc808ecf-9da8-4b4c-9643-28d4b712c32f.png?resizew=325)
(1)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f332ca1832587ebc384964e6d1a96c56.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52399322dcddb3f91cb16c5ca44e6a14.png)
(3)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26a5ecf5f9fa16b01b673a30110c79c.png)
(4)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd49537fce60e9e8e387445a5dba23b.png)
那么,其中正确命题的个数是( )
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2019-09-18更新
|
455次组卷
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2卷引用:上海市高桥中学2020届上学期高三开学考数学试题