题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142428-73435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142429-99334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142429-71335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142429-12894.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142429-62220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142429-90864.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142430-18577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142430-21478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142430-52873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142430-16210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142431-23382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142431-50157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142430-18577.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142431-79557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142431-55187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142431-36710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142430-18577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142432-44166.png)
解析
试题分析:(1)先根据函数
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142431-79557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142432-58986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142432-54781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142431-79557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142433-19089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142431-79557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142433-47475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142433-41752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142434-36883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142434-48424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142431-79557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142430-18577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142434-75149.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142434-48125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142434-43950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142435-64619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142430-18577.png)
试题解析:(1)由题意,
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142435-32966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142435-13153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142435-48819.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142435-53646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142436-76588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142436-48153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142436-24981.png)
∴T=2π=
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142436-79483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142436-10374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142437-15846.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142437-88061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142437-21853.png)
(2)设△ABC的外接圆半径为
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142437-58719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142437-94271.png)
化简
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142438-35235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142438-98877.png)
由正弦定理,得
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142438-73829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142438-80423.png)
由余弦定理,得
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142438-35587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142439-17995.png)
将①式代入②,得
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142439-39409.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142439-80369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142439-27085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142440-76885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142440-22121.png)
核心考点
试题【已知函数的最大值为,且,是相邻的两对称轴方程.(1)求函数在上的值域;(2)中,,角所对的边分别是,且 ,,求的面积.】;主要考察你对任意角三角函数的概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142328-56970.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142329-72399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142329-37606.png)
②
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142329-98293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142329-87967.png)
③
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142329-98293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142329-75953.png)
④
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142329-98293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142330-67784.png)
⑤
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142330-64220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142329-98293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142330-69552.png)
其中正确的命题为 ( )
A.①②④ | B.③④⑤ | C.②③ | D.③④ |
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142246-42215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142246-43519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142246-80929.png)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142246-86257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142247-43867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142247-51680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142247-87073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142215-15402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142215-70209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142215-54893.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142142-62740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142142-18417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142143-47733.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142119-92869.png)
(1)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142119-44248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142119-41530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142119-78977.png)
(2)若存在
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142120-58909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142120-46525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142120-11435.png)
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