解题方法
1 . 已知
,
,其中
,
,且函数
在
处取得最大值.
(1)求
的最小值,并求出此时函数
的解析式和最小正周期;
(2)在(1)的条件下,先将
的图像上的所有点向右平移
个单位,再把所得图像上所有点的横坐标伸长为原来的2倍(纵坐标不变),然后将所得图像上所有的点向下平移
个单位,得到函数
的图像.若在区间
上,方程
有两个不相等的实数根,求实数a的取值范围;
(3)在(1)的条件下,已知点P是函数
图像上的任意一点,点Q为函数
图像上的一点,点
,且满足
,求
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5315b8f0ce7820c865bcd53b5227576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88dc8fe8834fd3e3fad272a042fc4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84627fa0b991f9a290727270a4d32aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/720091d877ca5e2837b0f410fb99631d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)在(1)的条件下,先将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc6e69ad1a27916fb5c3d5901ded134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2adf58ee9fe27c07d5a863be48b62e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93b3a7dd6b25a668ef1fbd2bb0be60dd.png)
(3)在(1)的条件下,已知点P是函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3d641761af730cc20b05a79fad66f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0762040da3c416619d44a51c6c99ab9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd5973a979d2a822b829334cbb253b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da89d1db781544a974035e6a7259891.png)
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