题目
题型:浙江省模拟题难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150251-88349.png)
(2)点P从B点出发以每秒4个单位的速度沿x轴正半轴运动,点Q从A点出发沿线段AC以
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150252-92258.png)
(3)Q点沿射线AC按原速度运动,⊙G过A、B、Q三点,是否有这样的t值使点P在⊙G上、如果有求t值,如果没有说明理由。
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150252-73171.png)
(2)(i)当P在BC上,Q在线段AC上时,(
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150252-94761.png)
过点Q作QD
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150252-26461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150252-65742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150253-53584.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150253-96652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150253-97531.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150253-55392.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150254-33916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150254-73645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150254-75423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150255-32406.png)
过点Q作QD
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150255-97961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150255-39553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150256-66757.png)
有
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150256-80896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150256-64053.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150256-41361.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150257-40996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150257-65400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150257-89327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150257-59891.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150258-46376.png)
(3)若点P在圆G上,因为AC⊥AB,所以BQ是直径,
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150258-15563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150258-86559.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150258-18177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150259-16630.png)
解得:
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150259-94536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150259-93555.png)
所以当t=
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150259-94979.png)
核心考点
试题【如图,Rt△ABC在平面直角坐标系中,BC在x轴上,B(-1,0)、A(0,2),AC⊥AB。(1)求线段OC的长;(2)点P从B点出发以每秒4个单位的速度沿x】;主要考察你对相似三角形性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150245-47260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150241-43856.png)
(1)则线段EF= _________ ;
(2)则
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150233-72037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103150234-70306.png)
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