题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234115-59052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234116-37664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234116-85409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234116-25555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234116-37664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234116-95093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234117-32592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234117-64448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234117-67295.png)
(1)求抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234115-59052.png)
(2)求证:直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234117-76908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-19118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-96182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-96182.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-33842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-46765.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-33842.png)
(2) 由题意可知,
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234119-24577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234119-28209.png)
即:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234119-32049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-19118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234117-76908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-96182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234119-85018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234119-35260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234117-76908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234120-23175.png)
即:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234120-70452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234120-37980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234120-45729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234121-24948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234121-30960.png)
(1)设抛物线的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234121-90183.png)
因为准线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234116-37664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234121-54052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234122-40514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-33842.png)
(2)由题意可知,
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234119-24577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234119-28209.png)
即:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234119-32049.png)
设圆心在
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-19118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234117-76908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-96182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234119-85018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234119-35260.png)
则圆心到直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234117-76908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234120-23175.png)
即:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234120-70452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234120-37980.png)
所以:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234120-45729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234121-24948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234121-30960.png)
即:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234122-94032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234122-51389.png)
解得:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234122-86560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234123-67230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-19118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-96182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-96182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234118-46765.png)
核心考点
试题【已知抛物线的顶点在坐标原点,准线的方程为,点在准线上,纵坐标为,点在轴上,纵坐标为.(1)求抛物线的方程;(2)求证:直线恒与一个圆心在轴上的定圆相切,并求出圆】;主要考察你对点到直线的距离等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234110-47061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234110-60303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234111-18177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234110-60303.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234103-26356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234103-72068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234103-37953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234103-74803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234104-17832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234104-94680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234104-17832.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234057-71970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234058-17022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234058-15650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234058-57203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234057-71970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234050-80215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234050-96873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234050-57411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234044-67622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234045-72397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234045-62007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234045-42148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234045-61657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234045-42148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234045-81584.png)
⑴当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234045-14041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234046-58082.png)
⑵当弦
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234046-58082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234045-62007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022234045-42148.png)
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