题目
题型:不详难度:来源:
已知点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001905-45577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001905-27074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001906-34934.png)
(1)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001906-76770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001906-53935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001905-27074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001906-76770.png)
(2)设过点P的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001907-69065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001905-27074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001907-43419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001907-72629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001907-78117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001908-19384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001908-71901.png)
(3)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001908-64296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001905-27074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001908-39798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001909-13094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001909-67194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001905-45577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001909-19284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001909-37085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001909-67194.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001906-76770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001910-38948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001910-38948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001910-48560.png)
又圆C的圆心为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001910-85290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001910-42024.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001911-89617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001911-29743.png)
所以直线方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001911-66237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001911-68572.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001906-76770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001906-76770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001912-26543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001912-26543.png)
(2)由于
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001912-69477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001912-28372.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001912-36383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001912-69477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001906-53935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001908-19384.png)
故以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001908-19384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001908-71901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001913-33596.png)
(3)把直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001913-20499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001913-71961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001905-27074.png)
消去
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001913-50670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001914-45434.png)
由于直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001913-20499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001905-27074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001914-48731.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001914-94605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001914-14499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001915-82151.png)
则实数
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001909-67194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001915-67235.png)
设符合条件的实数
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001909-67194.png)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001909-19284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001909-37085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001915-82617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001909-19284.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001909-19284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001915-91535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001916-39136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001916-46914.png)
解析
核心考点
试题【((本小题满分12分)已知点及圆:.(1)若直线过点且与圆心的距离为1,求直线的方程;(2)设过点P的直线与圆交于、两点,当时,求以线段为直径的圆的方程;(3)】;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/20191023/20191023001859-95514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001859-54246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001859-86373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001859-86373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001900-13729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001859-54246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001859-86373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001859-86373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001900-63362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001859-54246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001859-54246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001900-85735.png)
A.不能确定 | B.相离 | C.相切 | D.相交 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001845-64849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001845-87253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001845-85005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001845-20039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001845-15477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001846-12351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001846-49213.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001846-59429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001846-12360.png)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001846-28071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001847-93536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001847-46636.png)
(Ⅱ)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001846-12360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001847-41038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001847-47187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001848-93852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001848-52223.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001848-36558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001848-49175.png)
① 求证:圆心
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001848-49175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001849-13335.png)
② 圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001848-49175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001849-38706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001849-28618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001840-30835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001841-77884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001836-78920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001837-52770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001829-43798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001829-68436.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001829-68436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001829-68436.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001829-68436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001829-84945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001829-68436.png)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001829-68436.png)
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