题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061638-16590.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061639-86773.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061639-11445.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061639-82859.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061638-16590.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061639-11445.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061639-90698.gif)
(2)若实数x满足abx=a+b,试确定x的取值范围.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061639-17811.gif)
(2)实数x的取值范围是
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061640-42997.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061640-92072.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061640-21893.gif)
因为三角形ABC的外接圆半径为1, 由正弦定理,得
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061640-86384.gif)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061640-75919.gif)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061641-33254.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061641-81062.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061641-82319.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061641-88831.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061639-17811.gif)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061641-46597.gif)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061642-48589.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061642-99233.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061642-85809.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061642-45123.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061642-85809.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061643-88093.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061643-85776.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061643-77212.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061640-42997.gif)
核心考点
试题【(本小题满分13分)△ABC的外接圆半径为1,角A,B,C的对边分别为a,b,c.向量=, =满足//.(1)求的取值范围;(2)若实数x满足abx=a+b,试】;主要考察你对解三角形应用等知识点的理解。[详细]
举一反三
等腰直角三角形ABC中,A=
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061635-20082.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061636-95540.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061636-21860.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061636-83044.gif)
A.[-l,0] | B.[1,2] | C.[-2,-1] | D.[-2,0] |
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061627-37313.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061627-17912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061627-17638.gif)
向量
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061628-12465.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061628-65493.gif)
(Ⅰ)求锐角
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061628-28920.gif)
(Ⅱ)如果
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061628-14159.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061627-37313.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061628-35479.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061620-76432.gif)
(Ⅰ) 求角A的大小;
(Ⅱ) 当BC=2时,求△ABC面积的最大值.
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061615-49212.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061615-96534.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061615-88859.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061615-99967.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061615-42088.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061616-85345.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061616-29596.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061616-60378.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061616-45209.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061616-29596.gif)
A.![]() | B.3 | C.5 | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061611-70737.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061611-48852.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061611-85475.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061612-32806.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020061612-64198.gif)
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