名校
解题方法
1 . 已知圆系
,圆
过
轴上的定点
,线段
是圆
在
轴上截得的弦,设
.对于下列命题:
①不论
取何实数,圆心
始终落在曲线
上;
②不论
取何实数,弦
的长为定值1;
③式子
的取值范围是
.
④不论
取何实数,圆系
的所有圆都与直线
相切;
其中真命题的序号是__________ .(把所有真命题的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b214316f02bbdd3bb5bda1ec628f0969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c0d3564653f3c95d929bfa70289c18.png)
①不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8953ded144195804384dcb494d5e2a.png)
②不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
③式子
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c26ee0f01990cd336dc2452014ea0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89d3cb58df77b34628cc290b2c91fbb.png)
④不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f3fa679bb55ded25a9b72a8e788cb1.png)
其中真命题的序号是
您最近一年使用:0次
名校
解题方法
2 . 已知直线l:
,圆C:
,则直线l被圆C所截得的线段的长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fd72f36c81a55cafa92739ee87f743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d22c68d17bc1ba129e6ab3f3b39ec4e.png)
您最近一年使用:0次
3 . 已知圆
,直线
被圆C截得的弦长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caaab97b6da171d21356ed8338ead646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6533e1efcd09fa6f176874abc7b50d5.png)
您最近一年使用:0次
2024-04-18更新
|
1295次组卷
|
3卷引用:上海市南洋模范中学2023-2024学年高二下学期期中考试数学试卷
名校
解题方法
4 . 已知直线l与圆
相交于A,B两点,且弦的中点为
,若直线
与l垂直,则实数a的值是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345ce8cd12e7a9d0661f143bc2ddda46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03193aaea57bc6f935f2c299ecc2a238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a58518a9123df6b9ea048462c343a0c.png)
您最近一年使用:0次
名校
解题方法
5 . 已知圆
,直线
交圆
于
两点,点
,则三角形
面积的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65739ec9fa51a20acb1b327c4d18e003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16c9f25703e265026af2d481e64414d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
A.6 | B.9 | C.![]() | D.![]() |
您最近一年使用:0次
名校
6 . 已知
为圆
上两点,且
,点
在直线
上,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f7f7f8a4ca4214d568f6d47828f01ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e00ad067ceaf3a8c0452e5cd52a506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc13f1877a59f1cedcc8eb9c5ea23a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0443744c17303b957acbf86051e12cdb.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
7 . 已知曲线
在
处的切线
与圆
相交于
、
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d103d683d2fd06b6fa9ec5523c2ea0c9.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89bd98a7eb694834e2797aed798e7ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451685559d39b6bdd62480e90fba48ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d103d683d2fd06b6fa9ec5523c2ea0c9.png)
您最近一年使用:0次
2024-04-08更新
|
1074次组卷
|
4卷引用:模块五 专题5 全真拔高模拟5(苏教版高二期中研习)
(已下线)模块五 专题5 全真拔高模拟5(苏教版高二期中研习)四川省眉山市仁寿第一中学校南校区2023-2024学年高二下学期4月数学滚动检测卷湖南省常德市2024届高三下学期3月模拟考试数学试题 福建省厦门市厦门外国语学校2024届高三下学期模拟考试数学试题
8 . 直线
与圆
相交于
两点,且
,则实数
的值等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19efd2f2662ca444c784b69e35f53120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2024-04-04更新
|
386次组卷
|
2卷引用:四川省眉山市仁寿第一中学校南校区2023-2024学年高二下学期3月月考数学试题
9 . 直线
截圆
所得弦长的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf636ac768e4b78150d7ba4884bf0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ee745282e1b47f06074eac4bfa70a5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知圆
,直线
.则直线
被圆
截得的弦长的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e7ddc76bbbccdbd17a78b57b662579.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33fd0d2aaad815edfc89201d49ea47fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-03更新
|
364次组卷
|
2卷引用:广东省茂名市五校联盟2023-2024学年高二下学期3月联考数学试题