解答题-证明题 适中0.64 引用1 组卷138
如图,正方形
边长为
,以
为圆心,
为半径的圆弧与以
为直径的半圆
交于点
,连结
并延长交
于点
.
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/070efbd967784b7bb09a6176db944c29.png)
(1)求证:
为
的中点;
(2)求
的值.
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/57453c6f2806415dab410ba1b4f05cef.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/4455298339f64896b359b953d34294b8.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/6f45f2742cd04744a8e8bb95ad17f554.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/82f15f28b652475c8344ca151698aead.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/066228d43a0840e1a4d89cff04c0be44.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/477875ee3fcf4557b30a82e77722757e.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/4a77b55c5c784fd4aab7506b11c35474.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/7b95841e2cdb41ee80ed7e631a4fa4e9.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/ac61771f1a8b4e66b90926c0dc33c8a3.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/92437732da6c448da5bf61877e777755.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/070efbd967784b7bb09a6176db944c29.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/92437732da6c448da5bf61877e777755.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/ac61771f1a8b4e66b90926c0dc33c8a3.png)
(2)求
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933430534144/1572933436997632/STEM/9c2381ceba2e4d8fa62a17436d7892d3.png)
2016·湖北襄阳·二模
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