题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143515-10672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143515-44220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143515-92879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143515-31361.png)
(I) 求角
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143515-58419.png)
(II)求
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143516-67581.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143516-96993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143516-67480.png)
解析
试题分析:(I)由向量的坐标运算得角A的三角函数关系,再求角A的大小;(II)根据(I)结论,先化简三角函数式,再由锐角三角形ABC分析得函数式的取值范围.
试题解析:(I)由题意:
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143516-28547.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143516-81051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143517-55316.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143517-58737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143517-62220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143517-55596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143516-96993.png)
(II)由(1)知:
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143518-47981.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143518-28480.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143515-10672.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143518-54949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143518-45506.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143518-88528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143519-72697.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143519-87464.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143519-79958.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143516-67480.png)
核心考点
试题【在锐角中,,,.(I) 求角的大小;(II)求的取值范围.】;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/20190822/20190822143427-45983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143427-82377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143427-62949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143427-84836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143428-24353.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143428-13436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143428-50084.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143428-64078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143428-14410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143403-19595.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143403-37659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143403-25050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143403-12472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143403-74598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143404-26871.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143404-80487.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143404-80422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143404-32083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143404-74987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143342-73354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143343-66890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143343-65480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143343-33271.png)
(I)求角
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143343-30737.png)
(II)求
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143343-56028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822143344-73604.png)
(Ⅰ)求角B的大小;
(Ⅱ)已知函数f(A,C)=Cos2A+sin2C,求f(A,C)的最大值。
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142933-47186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142933-86410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142933-89005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142933-70252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142933-30406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142933-87627.png)
(Ⅰ)记函数
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142934-59376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142934-82157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142934-76953.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142935-54476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822142935-74718.png)
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