已知圆
和直线l:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1593c485906d388a777236282b0cda0.png)
(1)证明:不论
取何值时,直线和圆总有两个不同的交点;
(2)求当
取何值时,直线被圆截得的弦最短,并求最短的弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b97de90c97e02b3b20e9409250dde7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1593c485906d388a777236282b0cda0.png)
(1)证明:不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
更新时间:2019-04-13 11:56:47
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【知识点】 过圆内定点的弦长最值(范围)
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解答题-问答题
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【推荐1】已知圆
经过坐标原点
,圆心为
;直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f96c39b2a6cbab5ae54da11210b6cf7.png)
(1)若
,记
为圆上的点到直线
的距离,求
的最大值;
(2)设直线
与圆
的相交弦为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa433c7f879181697b73c751605d394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f96c39b2a6cbab5ae54da11210b6cf7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0276fc58eb6688d0c3711caeadd5b2bd.png)
您最近一年使用:0次
【推荐2】已知圆
和直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3528fa597c8f61877f589fae68dac939.png)
(1)求证:不论
取什么值,直线和圆总相交;
(2)求
取何值时,圆被直线截得的弦最短,并求最短弦的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8365d7c7c74eed93f5b9461ce31870f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3528fa597c8f61877f589fae68dac939.png)
(1)求证:不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次