名校
解题方法
1 . 已知函数
给出下列结论:
①
的图象关于点
对称;
②
的图象关于直线
对称;
③
是周期函数;
④
的最大值为
.
其中正确结论有______ .(请填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78792c88364e8c4c4156609405a84bef.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8c5671c7a231e69641186f554755f0.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c3319647314c3b6d82958a909acd2a.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
其中正确结论有
您最近一年使用:0次
名校
解题方法
2 . 已知定义在
上的函数
,满足
,且
,
,当
时,
(
为常数),关于
的方程
(
且
)有且只有
个不同的根,则能推出下列正确的是___________ (请填写正确的编号).
①函数
的周期![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7825eb57ef8a7f2021fa1859a914c4e9.png)
②
在
单调递减
③
的图象关于直线
对称
④实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae2faafba63c4eb7f4fb2be03f51990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe9f3099ed9429dc5b4e38a350e524a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8520fc12add3dd8b795ce092d2ba279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6e80db7f2d705016809640d5c30dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487763fb046ceaeda3d0cf5ac1072bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585f3218f0995587263adaa5852fb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39d5e02c73285b9ac42d3caa3967f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7825eb57ef8a7f2021fa1859a914c4e9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
④实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ebfa9cd052040a7bf05927ff53d075.png)
您最近一年使用:0次
2021-10-24更新
|
670次组卷
|
2卷引用:四川省成都市树德中学2021-2022学年高三上学期10月阶段性测试数学(理)试题
名校
解题方法
3 . 已知函数
是定义域为R的奇函数,且它的图象关于直线
对称.
(1)求
的值;
(2)证明: 函数
是周期函数;
(3)若
求当
时,函数
的解析式,并画出满足条件的函数
至少一个周期的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
(2)证明: 函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a3a5891eb4d6e5340628db9e99a3e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
4 . 已知
.
(1)画出
的图象.
(2)根据图象写出
的单调区间和值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866555a4af2c0acd51fb53efd52076f5.png)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)根据图象写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
您最近一年使用:0次
5 . 已知函数
是定义在
上的偶函数,当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66062dbd4978a7bb2fb9b9aabb898af.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/c327dcdc-4953-47f5-96ed-6191ba20d76e.png?resizew=223)
(1)画出
在
上的图象;
(2)讨论函数
与函数
的图象的交点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66062dbd4978a7bb2fb9b9aabb898af.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/c327dcdc-4953-47f5-96ed-6191ba20d76e.png?resizew=223)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257d09a6fbca00ba955f05e327b566fe.png)
您最近一年使用:0次
2020-02-24更新
|
146次组卷
|
2卷引用:重庆市合川区2018-2019学年高一上学期期中联考数学试题
6 . 定义在R上的奇函数f(x)满足f(x+2)=-f(x),当0≤x≤1时,f(x)=x,
(1)试画出f(x),x∈[-3,5]的图象;
(2)求f(37.5);
(3)常数a∈(0,1),y=a与f(x),x∈[-3,5]的图象相交,求所有交点横坐标之和.
(1)试画出f(x),x∈[-3,5]的图象;
(2)求f(37.5);
(3)常数a∈(0,1),y=a与f(x),x∈[-3,5]的图象相交,求所有交点横坐标之和.
您最近一年使用:0次
7 . 已知函数
是定义在
上的函数,
图象关于
轴对称,当
时,
,
(1)画出
图象;
(2)求出
的解析式;
(3)若函数
与函数
的图象有四个交点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f76cb639dc4ce8ed42b2c87cf93555b.png)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2017-12-18更新
|
892次组卷
|
2卷引用:辽宁省沈阳市交联体2017-2018学年高一上学期期中考试数学试题