已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97acda96c508261e3d86a6eb399eabb3.png)
(1)求
的值域;
(2)求函数
的最小正周期及函数的单调区间;
(3)将函数
的图像向右平移
个单位后,再将得到的图像上各点的横坐标变为原来的
倍,纵坐标保持不变,得到函数
的图像,求函数
的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97acda96c508261e3d86a6eb399eabb3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
更新时间:2020-02-18 23:14:31
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【推荐1】已知函数
,
.
(1)求函数
的最小正周期及单调递增区间;
(2)求函数
在
上的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cbcebf7352e66319bd70f17370dc5a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
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【推荐2】函数
,
(1)当
时,求
的取值范围;
(2)我们知道,函数的性质通常指函数的定义域、值域、周期性、奇偶性、单调性等,请你探究函数
的性质(本小题只需直接写出结论)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbf1a1f946492ca439118530ce910b7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce080d729a39128386cbe2defc01ffeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)我们知道,函数的性质通常指函数的定义域、值域、周期性、奇偶性、单调性等,请你探究函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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【推荐1】求下列函数的最小正周期.
(1)
,
;
(2)
,
;
(3)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157b565dc9b8c91ca8121b6f19ccd6d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a626de084ee0ddf786ea224a8fb75fbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4a37f30b942d09cb1bd84461a457f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
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【推荐2】已知函数
,
(1)求
的最小正周期;
(2)在
中,三个角
所对的边分别为
,若
,
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18da14a5f0acea61887b890fb096f7ed.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0d5cf8c22d0cf93274939d92963665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e325daa74de12ad0f2c6570909358d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82986ab38a4ae58593191ccae2a44f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
【推荐1】已知
,
.
(1)若
,求
的值;
(2)若
,将函数
的图象向右平移
个单位长度后,得到
的图象,求
的解析式及
的最小正周期.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8008031f83b89b06565b27da2566f176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18515948143068d8d652f349508e478.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cadbb5d466d9e6fb17e0b50b940c8dfc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92384dac89a8c20321160febf3308fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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【推荐2】已知函数
,将函数
的图象向左平移
个单位,得到函数
的图象.
(1)求函数
的解析式;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/633d481b0adecdec4e9b7064c57eca50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1ab72aeda5667c2fbaec59defd081a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d0532bf8ea573af0bc5bbda9e52154.png)
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解题方法
【推荐1】已知函数
,若__________.
条件①:
,且
在
时的最大值为
;
条件②:
.
请写出你选择的条件,并求函数
在区间
上的最大值和最小值.
注:如果选择条件①和条件②分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ebfd0cc14c3fc01e74f2e7f2787e90.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851eae00e3369068e33a7e6420483883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a748e2508f60d3a68884947d6002ea.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac37dceba5b30af8d70d4b25c430e9d.png)
请写出你选择的条件,并求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6efa56c0a3d463693bc4df11be139e.png)
注:如果选择条件①和条件②分别解答,按第一个解答计分.
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