题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-47540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-16496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-71312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-71312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-47540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-16496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-84358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-75219.png)
(1)若⊙
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-47540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-16496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-66494.png)
(2)若⊙
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-47540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-16496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-46893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-77574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-14542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-10335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-46893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-77574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-87885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-45769.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-86025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-65848.png)
∵⊙
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-47540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-16496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-71312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-86025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-65848.png)
如图,过
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-86025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-65848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-29992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-21872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-85576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034354-33105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034354-87007.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034354-42335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034354-32099.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034354-71344.png)
∵⊙
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-47540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-16496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034354-85505.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034354-37304.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034354-15294.png)
在⊙
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034351-47540.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034355-42951.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034355-23778.png)
同理
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034355-98268.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034355-10491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034355-26411.png)
(2)线段
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-14542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034353-10335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-46893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034352-77574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034356-70271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034356-48032.png)
解析
(2)线段AT、BT与R、r之间始终存在的数量关系是
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034356-70271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034356-48032.png)
核心考点
试题【已知⊙、⊙外切于点,经过点的任一直线分别与⊙、⊙交于点、,(1)若⊙、⊙是等圆(如图1),求证;(2)若⊙、⊙的半径分别为、(如图2),试写出线段、与、之间始终】;主要考察你对圆的认识等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034340-95251.png)
(1)当α=35°时,求β的度数;
(2)猜想α与β之间的关系,并给予证明。
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034334-15055.png)
(1)在0<t<12时,设△OAP的面积为s,试求s与t的函数关系式.并求出当t为何值时,s为矩形ABCO面积的
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034329-89071.png)
(2)在点P的运动过程中,是否存在某一时刻,⊙A与⊙P相切,若存在求出点P的坐标,若不存在,说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034329-28449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-15862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-54980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-88937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034324-31213.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-15862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-15862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034324-46277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-88937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-15862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-88937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034324-35658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-88937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-15862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034324-16374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034324-90038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-88937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-15862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034325-90877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034325-75999.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-88937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105034323-15862.png)
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