题目
题型:不详难度:来源:
答案
解析
解答:
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053213-50636.png)
∴O1O2⊥AB,
∴AC=12,O1A=13,
∴O1C=
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053213-20790.png)
∵O2A=15,AC=12,
∴O2C=
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053213-16042.png)
因此O1O2=5+9=14.
同理知当小圆圆心在大圆内时,解得O1O2=4.
故答案为14或4.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053204-27553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053205-83220.png)
若⊙O的半径为1,求图中阴影部分的面积(结果保留π).
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053202-99926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-74000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-67864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-75384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-14932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-73277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-95110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-46704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-94904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053154-77575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-94904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053154-66837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053154-58295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053154-76496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-95110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-46704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053155-92774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-46704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053155-77170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053155-25579.png)
小题1:求证
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053155-93869.png)
小题2:若
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053156-97375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053153-46704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053140-73484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053140-91240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053140-18290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053141-27675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053141-10892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053141-54560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053142-24172.png)
小题1:求证
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053142-36482.png)
小题2:若点
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053140-73484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053142-48655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053141-10892.png)
小题3:在(2)的条件下,过
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053143-60639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053143-90930.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053141-27675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053143-73244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053143-26822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053144-54770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053143-90930.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053144-14921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053144-50111.png)
其中有且只有一个结论是正确的,请你判断哪一个结论正确,证明正确的结论并求出其值
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105053144-37979.png)
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