题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132655-36422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132656-16640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132656-68165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132656-50590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132656-96120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132656-65761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132656-77382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132657-88285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132657-83335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132657-25911.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132657-98615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132657-48242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132658-63253.png)
(1).若
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132658-39608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132658-82943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132658-77028.png)
(2).若
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132658-95091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132658-82943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132658-77028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-69998.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-37668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-23950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-55925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-22721.png)
解析
试题分析:(1)由任意角三角函数定义可知
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132700-85746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132700-42465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132700-87235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132700-19439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132700-85746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132658-82943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132700-82512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132700-19439.png)
试题解析:解
(1)如图,连结
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132701-42957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132701-20801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-55925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132701-68767.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132701-86665.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132702-47223.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-37668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132702-75408.png)
所以矩形
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-55925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-37668.png)
(2)如图,连结
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132701-42957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132701-20801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132702-54830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132702-87814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132702-71528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132703-20592.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132703-65197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132703-59813.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132703-93928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132703-81109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132704-58428.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132704-42170.png)
设平行四边形
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-55925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132704-44363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132704-88036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132705-25114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132705-21391.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132705-83128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132705-85112.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132705-49060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132706-97078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132706-41038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-23950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-22721.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-23950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-55925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822132659-22721.png)
核心考点
试题【如图所示,已知是半径为1,圆心角为的扇形,是扇形弧上的动点,,与交于点,,与交于点.记.(1).若,如图3,当角取何值时,能使矩形的面积最大;(2).若,如图4】;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/20190815/20190815000724-74564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000725-21303.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000726-12205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000726-96014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000726-80918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000727-85238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000727-44604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000726-80918.png)
①集合
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000727-36525.png)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000727-71648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000727-18546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000727-35696.png)
③若
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000727-75534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000727-18546.png)
④若
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000727-30639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000726-80918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000728-27709.png)
其中正确的结论是 .(填上你认为所有正确的结论序号).
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000732-10290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000732-53758.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000732-67881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000732-60870.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000732-50848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000732-67881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000734-46203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000734-49228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000735-97398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000737-77075.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000737-32389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000737-86932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000737-46098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000737-52063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190815/20190815000738-47940.png)
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