解题方法
1 . 已知函数
是定义在
上的函数,
图像关于
轴对称,当
,
.
(1)画出
图像;
(2)求出
的解析式;
(3)若函数
与函数
的图像有四个交点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/be315e528951120e7d551f654d2a1f5e.png)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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11-12高一上·河南商丘·阶段练习
2 . (1)画出函数
的图象;
(2)利用图象回答:
取何值时
①只有唯一的
值与之对应?
②有两个
值与之对应?
③有三个
值与之对应?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c926bb7440609ee2e6de72b3bfab8490.png)
(2)利用图象回答:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
①只有唯一的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②有两个
![](https://img.xkw.com/dksih/QBM/2011/12/27/1570635315838976/1570635320893440/STEM/69db77f5c9d84334be004d928ee3d6e7.png?resizew=13)
③有三个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2011/12/27/1570635315838976/1570635320893440/STEM/db632db61e95434daa5a040da661255f.png?resizew=272)
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3 . 已知函数是定义域为的偶函数,当时,.
(Ⅰ)在给定的图示中画出函数
的图象(不需列表);
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572326335422464/1572326341525504/STEM/efcafb6ff0644eae898ac965dcf4bae3.png)
(Ⅱ)求函数的解析式;
(Ⅲ)若方程
有两解,求
的范围.(只需写出结果,不要解答过程)
(Ⅰ)在给定的图示中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572326335422464/1572326341525504/STEM/efcafb6ff0644eae898ac965dcf4bae3.png)
(Ⅱ)求函数的解析式;
(Ⅲ)若方程
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572326335422464/1572326341525504/STEM/ab562180a9bf4f06983dce4a0d30a880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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