题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015840-39757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015840-92097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015840-18859.png)
(Ⅰ)求角
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015841-81166.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015840-39757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015841-46108.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015841-24544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015841-37721.png)
解析
试题分析:(I)根据
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015842-93424.png)
(II)由(I)可知AB边最大,tanA<tanB,从而可确定A最小,BC边最小,
因而根据三角函数的同角三角函数的基本关系式可得sinA,再根据正弦定理可求出BC边.
(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015842-13675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015842-95028.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015842-18400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015841-24544.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015842-68739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015843-94521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015843-56390.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015843-50853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015843-51030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015844-64544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015844-25423.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015844-14814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015844-93552.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015845-93122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015845-35872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015845-52089.png)
所以,最小边
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015841-37721.png)
点评:最大边的确定可以根据大角对大边原理,一般要要借助正切函数或正余弦函数的单调性确定A的大小,从而得到边的大小.
核心考点
试题【(本小题满分13分)在中,,.(Ⅰ)求角的大小;(Ⅱ)若最大边的边长为,求最小边的边长.】;主要考察你对两角和与差的三角函数等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015743-82208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925015743-45077.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013741-13289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013742-50335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013742-82373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013742-58282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013742-58226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013742-93893.png)
(1)求角
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013743-72156.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013743-25710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013743-30205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013743-93369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013743-30205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013744-65318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013744-66563.png)
①半径为2,圆心角的弧度数为
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013726-71295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013726-71295.png)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013726-86721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013727-33861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013727-47621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013727-12444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013727-40208.png)
③若
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013727-41942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013728-90179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013728-22518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013728-28601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013728-42833.png)
④若
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013728-89682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013728-22518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013729-56866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013729-85895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925013728-22518.png)
其中真命题的序号是 .
已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012049-89748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012051-79632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012051-78675.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012051-70981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012051-65210.png)
(2)在(1)的条件下,若数列
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012051-79382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012052-14431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012052-16489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012052-87445.png)
(3)对于
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012052-18105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012051-65210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012053-16491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012053-91267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012053-28329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925012053-36461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925010905-39263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925010905-38620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925010905-38620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190925/20190925010905-38620.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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