1 . 若直线ax﹣by+2=0(a>0,b>0)被圆x2+y2+2x﹣4y+1=0截得的弦长为4,则
的最小值为
![](https://img.xkw.com/dksih/QBM/2016/1/22/1572462315118592/1572462320902144/STEM/ea8d58c2cc8440aa94016f693d815196.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
14-15高二上·江苏盐城·阶段练习
名校
2 . 已知椭圆
:
(
)和圆
:
,
分别是椭圆的左、右两焦点,过
且倾斜角为
(
)的动直线
交椭圆
于
两点,交圆
于
两点(如图所示,点
在
轴上方).当
时,弦
的长为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/13/378bfb35-80c9-4eca-9fe5-d6c248630b5b.png?resizew=178)
(1)求圆
与椭圆
的方程;
(2)若
依次成等差数列,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4be819fc47b2aa19ab2022b3dfeb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f49644cd9fa4688cc3a74a234952530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50222e554be1e681e2b91f6a5dfbfbcb.png)
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4120436d6ff0c58109473edc068257c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01961669cd597f61fa48e9853d678bb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/13/378bfb35-80c9-4eca-9fe5-d6c248630b5b.png?resizew=178)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc67978e5f2eeac99cf3dd0c97a8b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
14-15高二上·河南·期中
解题方法
3 . 已知圆C的方程为
,过点M(2,4)作圆C的两条切线,切点分别为A,B,直线AB恰好经过椭圆T:
(a>b>0)的右顶点和上顶点.
(1)求椭圆T的方程;
(2)已知直线l:y=kx+
(k>0)与椭圆T相交于P,Q两点,O为坐标原点,求△OPQ面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1872cb62ecc21a48fb0aa595bcf8718c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8e513c67b7810935ff4f4852f0cdce.png)
(1)求椭圆T的方程;
(2)已知直线l:y=kx+
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
您最近一年使用:0次
14-15高二上·江西赣州·期末
解题方法
4 . 如图,椭圆
过点
,其左、右焦点分别为
,离心率
,M,N是直线x=4上的两个动点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/6/7bbdf286-b86b-4c41-a664-41fc84e85cf1.png?resizew=206)
(1)求椭圆的方程;
(2)求|MN|的最小值;
(3)以MN为直径的圆C是否过定点?请证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480f004c98a0df86a35a48bc973f0472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c7316976a221c051a2c14df80b1347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea21bc3f7c77a352c7afa862fc94db4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/6/7bbdf286-b86b-4c41-a664-41fc84e85cf1.png?resizew=206)
(1)求椭圆的方程;
(2)求|MN|的最小值;
(3)以MN为直径的圆C是否过定点?请证明你的结论.
您最近一年使用:0次