已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3561daebbd53f93bae5b55d5f3ae27ac.png)
(1)求
的图象的对称轴的方程;
(2)若关于
的方程
在
上有两个不同的实数根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3561daebbd53f93bae5b55d5f3ae27ac.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c227871008a850be927236ec87c7fae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778662c16848db470c6537705b8a839c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2022-02-04 09:59:57
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适中
(0.65)
【推荐1】已知函数
.
(1)求函数
图象的对称轴方程;
(2)求函数
的在区间
上的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad6841e6213a82cb70d5c14781426ce.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8287c7c567b93abdc36bfa7df1b390f1.png)
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适中
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名校
【推荐2】已知函数
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/2021/12/2/2864051966099456/2865744619864064/STEM/c56edc89-155f-418a-a4a6-a5eea0d8ec29.png?resizew=226)
(1)求
的解析式及对称中心坐标:
(2)先把
的图象向左平移
个单位,再向上平移1个单位,得到函数
的图象,若当
时,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b27670037fdcdc16413f66c11ad018.png)
![](https://img.xkw.com/dksih/QBM/2021/12/2/2864051966099456/2865744619864064/STEM/c56edc89-155f-418a-a4a6-a5eea0d8ec29.png?resizew=226)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)先把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00d33d0b48c3444e14e532fee2f3ff14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
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【推荐3】已知函数
的部分图象如图所示.
的解析式及对称中心坐标;
(2)先将
的图象的向上平移1个单位,再保持横坐标不变、纵坐标缩短到原来的
倍,最后向右平移
个单位,得到
的图象,求函数
在
上的单调增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40d076fc6a9a5b7dc37ba31a2dd163b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)先将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94b831fe5c8ba5e701977a912c14108.png)
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【推荐1】已知直线
和
是函数
图像两条相邻的对称轴.
(1)求
的解析式和单调区间;
(2)保持
图像上各点的纵坐标不变,横坐标变为原来的
倍,得到函数
的图像.若
在区间
恰有两个极值点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c6cb0cc172657611e286e7fa669584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4eae5056ae4e4f11c49fe4b1fb67908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f26765b493dcb0cb3ebe4f7ef74c3c6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)保持
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ca7d2fde2a0ab2398185e87db8c4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】如图所示,B,C两点是函数
(A>0)图象上相邻的两个最高点,D点为函数f(x)图象与x轴的一个交点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/d285895b-df73-4211-b304-34c298c28bb0.png?resizew=221)
(Ⅰ)若A=2,求f(x)在区间
上的值域;
(Ⅱ)若
,求A的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a476570467ed4e8f4884c52c37717e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/d285895b-df73-4211-b304-34c298c28bb0.png?resizew=221)
(Ⅰ)若A=2,求f(x)在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b77857e15ae11fc94a5e33bfc12d26.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9c7cbcc38b28d45c8539710e5b260a.png)
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适中
(0.65)
名校
【推荐1】已知
,向量
,
,且
.
(1)若函数
的最小正周期是
,求
的单调增区间;
(2)已知
,若
是函数
的图像的一条对称轴,求
的周期和值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e03cb31c67746f408073d79dcc55e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb7ed45b3c16d4d0182a676f5ce69975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbadb801b4df353885a517d465a3929.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746f59e58b18a2020c17d926df7f2d27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c6cb0cc172657611e286e7fa669584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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适中
(0.65)
【推荐2】已知函数
.
(1)求
的单调递增区间;
(2)求
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23a4a12c404209d893a8bafd675257d2.png)
(1)求
![](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/18c9aeed3c8c5a04e48d011c607f9142.png)
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