题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-65341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-11863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-21020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-22533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-19735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-85245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-73795.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-22533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-11863.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-29733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-41737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-46944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-22533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-91998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-39716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-42304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-76479.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-35212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-77315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-92203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-56892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-25581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-70340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-29455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-85245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-21946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-22549.png)
解析
试题分析:(1)连结
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-35212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-77315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-92203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-56892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-25581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-70340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-29455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020632-85245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-21946.png)
(2)先根据含30°的直角三角形的性质可得
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-95645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-40738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-38932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-97308.png)
(1)连结
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-35212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-77315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-92203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-56892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-75105.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-25581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020635-91280.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-70340.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-29455.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020635-42874.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-21946.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020635-12674.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020635-56622.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020636-44737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020633-77315.png)
(2)在Rt△
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020636-23694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020636-69155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020636-54473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020637-98940.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-95645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-40738.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-38932.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020637-42951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-97308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020637-74206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020637-40677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020637-79895.png)
∴由弧
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020638-66205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020638-70394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020638-22199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020634-22549.png)
点评:此类问题综合性强,难度较大,在中考中比较常见,一般作为压轴题,题目比较典型.
核心考点
举一反三
A.3; | B.13; | C.3或13; | D.以上都不对. |
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020603-35672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020603-71671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020550-30024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020550-74036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020550-29805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020550-73470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020551-21715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020551-39278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020551-15916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020551-32950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020552-27404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020552-18451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020552-77910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020552-33919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020553-88497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020553-62288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020553-73739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020553-46101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105020554-51293.png)
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