1 . 已知圆
,直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b56ae87816e95d62a5d6008fdee68b71.png)
(1)求证:直线
过定点;
(2)求直线
被圆
所截得的弦长最短时
的值;
(3)已知点
,在直线MC上(C为圆心),存在定点N(异于点M),满足:对于圆C上任一点P,都有
为一常数,试求所有满足条件的点N的坐标及该常数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e5f36ffe6d4210c36a415e74613b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b56ae87816e95d62a5d6008fdee68b71.png)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求直线
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d695ff925df6412177e8d4ed03d8dd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/158ffc5c63b6c447d3fd93add3300077.png)
![](https://img.xkw.com/dksih/QBM/2018/6/26/1975434971545600/1975784303648768/STEM/c233d31099fe416791088ec039ddf94d.png?resizew=216)
您最近一年使用:0次
2018-05-01更新
|
1346次组卷
|
5卷引用:江苏省南京市江宁区2018-2019学年高一下学期期末数学试题
解题方法
2 . 已知
,若过定点
的动直线
和过定点
的动直线
交于点
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df307146ad61d4bf105370f65a3e742c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1b23e32f7aec101e8029b70cd8e823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93eceb43d0571fbe426fdbae39dbf66a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3979f27823cdcba516dfa885d8afe19d.png)
您最近一年使用:0次
2018-02-05更新
|
1115次组卷
|
3卷引用:江苏省淮安市2017-2018学年高二第一学期期末调研测试数学试题
江苏省淮安市2017-2018学年高二第一学期期末调研测试数学试题(已下线)2017-2018学年度下学期高一数学期末备考总动员C卷四川省泸州市古蔺县蔺阳中学校2023-2024学年高二上学期10月月考(理科)数学试题
9-10高二下·江苏镇江·期末
3 . 直线
为参数)过定点_____________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fec9c2f5cff4a1d07b1ae44e199b0ad.png)
您最近一年使用:0次
4 . 已知圆
:
,直线
的方程为
,点
是直线
上一动点,过点
作圆的切线
、
,切点为A、B.
(1)当
的横坐标为
时,求∠
的大小;
(2)求证:经过A、P、M三点的圆
必过定点,并求出该定点的坐标;
(3)求证:直线
必过定点,并求出该定点的坐标;
(4)求线段
长度的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c2f9bc74275491cb5972fefdf4d98e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f52cb58b6bc5d71030463ba7e28134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c4c850be63cf8d63b1f8fd433af1f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745e0525a41fe2e2a7739c75a942290b.png)
(2)求证:经过A、P、M三点的圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(3)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(4)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次