函数
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/48191e57-d600-4b13-b209-58fc715f0e07.png?resizew=166)
(1)求函数
的解析式;
(2)设函数
的定义域为
,求函数
的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703b4493b66a538140dd12bb3b268a7a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/48191e57-d600-4b13-b209-58fc715f0e07.png?resizew=166)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9317a93026ce3113c6379f3b08a8b89c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
更新时间:2021-08-24 16:13:18
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相似题推荐
解答题-问答题
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适中
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名校
解题方法
【推荐1】设函数
,其中
.
(1)当
时,求函数
的值域;
(2)记
的最大值为M,求M;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d52b757aaacf1d1c98b471e3dfbacf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09a2b7c019dae83e027830b82b3ee8d.png)
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【推荐2】若不等式
对一切实数x均成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac57ad5d49ec74da2764fbbf8946fcdd.png)
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【推荐1】已知函数
的图象的一部分如图所示.
![](https://img.xkw.com/dksih/QBM/2022/5/25/2986878022721536/2987644189245440/STEM/bb695bbab09a478ba6aedb033af56778.png?resizew=139)
(1)求f(x)的表达式;
(2)写出f(x)的对称轴方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9798860e0c912b81e578ec18587c324f.png)
![](https://img.xkw.com/dksih/QBM/2022/5/25/2986878022721536/2987644189245440/STEM/bb695bbab09a478ba6aedb033af56778.png?resizew=139)
(1)求f(x)的表达式;
(2)写出f(x)的对称轴方程.
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适中
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【推荐2】已知电流
在一个周期内的图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/38f3755c-deb7-40db-98ca-7bd346a9d35e.png?resizew=209)
(1)根据图中数据求
的解析式.
(2)如果
在任意一段
秒的时间内,电流
都能取得最大值和最小值,那么
的最小正整数值是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0db5568f992275308fc9387bd1ce85a8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/38f3755c-deb7-40db-98ca-7bd346a9d35e.png?resizew=209)
(1)根据图中数据求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0db5568f992275308fc9387bd1ce85a8.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c3f087cecbcd0ed1c02f095ef77463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0db5568f992275308fc9387bd1ce85a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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【推荐3】某同学用“五点法”画函数
,(
,
)在某一个周期内的图象时,列表并填入了部分数据,如下表:
(1)请将上表数据补充完整,并直接写出函数
的解析式;
(2)求
在区间
上的最大值和最小值;
(3)将
图象上所有点向左平移![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
个单位长度,得到
的图象.若
图象的一个对称中心为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c9e46448bc791c441ca02d8f4508eb.png)
0 | |||||
0 | 5 | 0 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a7ac80b964f5baf79f5faa7ac1e2983.png)
(3)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66de5f24f43f57b302503c106b70856a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358c8c0e7bc2f31f50d9aab6b2f84f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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【推荐1】函数
,
.
(1)把
的解析式改写为
(
,
)的形式;
(2)求
的最小正周期,并求
在区间
上的最大值和最小值;
(3)把
图像上所有的点的横坐标变为原来的2倍得到函数
的图像,再把函数
图像上所有的点向右平移
个单位长度,得到函数
的图像,若函数
在区间
上至少有30个零点,求m的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe7c872c93c08183f30683e3a58ae53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e11e607c4dc5eaeb067c738b1ea7d7.png)
(3)把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2380418bca9ec15393a8dfcaa51b0d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd05015979e4a35ba5ff6a51167d8e45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbae0d22d931ac42b565c7990764a2c1.png)
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【推荐2】在
中,角
的对边分别为
,
,
,且
.
(1)求锐角
的大小;
(2)若
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edd51c782333e04862704165622ad68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bbf5887ebf0a2fb425dc594bb983585.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31307a434d9bd734c863b3aee1f9705.png)
(1)求锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
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(0.65)
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【推荐3】已知向量
,函数
.
(1)求函数
的单调增区间和对称轴;
(2)若关于
的方程
在
上有两个不同的解,记为
.
①求实数
的取值范围;
②证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8932c215fa26c494f60f53b31c9ab008.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b4874cf36b6082ba4d539ff3ee69a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
①求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2f9f83b1c9ef035eaafbe12b8dd5cf.png)
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