已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
其中a为常数
.
(1)求
的单调减区间;
(2)若
时,
的最大值为4,求a的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a8f29ecb519a170861334139966572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a1e127c8f92b5b24f146db29eefdf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
更新时间:2020-05-20 13:18:38
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解题方法
【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf76bae7e89154e3aec400939d555b1.png)
(1)求函数
的最小正周期和单调递增区间;
(2)当
时,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf76bae7e89154e3aec400939d555b1.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50504742721bfb9cedf2bf573344d7d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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【推荐2】在①将函数
图象向右平移
个单位使得图象关于
轴对称;②函数
是奇函数;③当
时,函数
取得最大值.三个中任取一个,补充在题中的横线处,然后解得问题.
题干:已知函数
,其中
,其图象相邻的对称中心之间的距离为
, .
(1)求函数
的解析式及单调递增区间;
(2)若不等式
在区间
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb076bad84890e24dbdc945ad543cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d058f197ad88055e357c8f4baddcc13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5deda71e149a44da197279bfb2a876bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6720d486405b2b477953aaef9c8c2d.png)
题干:已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6a1a187bee0ac1a1a7849bfd06b17d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4e9d0c6e1d784870a39802b6b9a2d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee36dbcec3fc9c470301544052b933b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baae95c3e1185ffda8b66dc12144fbc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐1】已知函数
.
(1)求
的单调减区间.
(2)当
时,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521e42d5083a8afed90de4c7205a4488.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517daac9aa260866798457d3018c64bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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【推荐2】已知函数
,
图象的一条对称轴离最近的对称中心的距离为
.
(1)若
,
.
①求函数
图象的对称轴方程和对称中心的坐标;
②求函数
在
上的单调增区间.
(2)若
在R上的最大值为5,最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c0dc3c86b2f8bbe74f5c87769084cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.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/c195698ac387fe53b3b1e0248a1fcc92.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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【推荐3】已知
.
(1)若
,且
,求
的值;
(2)求
的最小正周期和单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1198074c7a58e2a47fd3d0b49ae594e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55e7ec01395f30fafe44a0f0791aef76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7734865c5a5efb104e40dc63315f4dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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